%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU565^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 10:45:09 AM UTC 2026
% Result : Theorem 12.15s 2.28s
% Output : CNFRefutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 84
% Syntax : Number of formulae : 2189 ( 521 unt; 0 typ; 83 def)
% Number of atoms : 19535 (9130 equ; 0 cnn)
% Maximal formula atoms : 84 ( 8 avg)
% Number of connectives : 43040 (10287 ~;8664 |; 147 &;23084 @)
% ( 56 <=>; 802 =>; 0 <=; 0 <~>)
% Maximal formula depth : 90 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2141 (2141 >; 0 *; 0 +; 0 <<)
% Number of symbols : 217 ( 214 usr; 88 con; 0-4 aty)
% Number of variables : 9467 ( 651 ^;8665 !; 151 ?;9467 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_descr,type,
descr: ( $i > $o ) > $i ).
thf(tp_descr__Cong,type,
descr__Cong: $o ).
thf(tp_descrp,type,
descrp: $o ).
thf(tp_disjoint,type,
disjoint: $i > $i > $o ).
thf(tp_dsetconstr,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(tp_dsetconstrEL,type,
dsetconstrEL: $o ).
thf(tp_dsetconstrER,type,
dsetconstrER: $o ).
thf(tp_dsetconstrI,type,
dsetconstrI: $o ).
thf(tp_dsetconstr__Cong,type,
dsetconstr__Cong: $o ).
thf(tp_emptyE1,type,
emptyE1: $o ).
thf(tp_emptyI,type,
emptyI: $o ).
thf(tp_emptyInPowerset,type,
emptyInPowerset: $o ).
thf(tp_emptyinPowerset,type,
emptyinPowerset: $o ).
thf(tp_emptyinunitempty,type,
emptyinunitempty: $o ).
thf(tp_emptyset,type,
emptyset: $i ).
thf(tp_emptysetAx,type,
emptysetAx: $o ).
thf(tp_emptysetE,type,
emptysetE: $o ).
thf(tp_emptyset__Cong,type,
emptyset__Cong: $o ).
thf(tp_emptysetimpfalse,type,
emptysetimpfalse: $o ).
thf(tp_emptysetsubset,type,
emptysetsubset: $o ).
thf(tp_eqimpsubset1,type,
eqimpsubset1: $o ).
thf(tp_eqimpsubset2,type,
eqimpsubset2: $o ).
thf(tp_eqinunit,type,
eqinunit: $o ).
thf(tp_exu,type,
exu: ( $i > $o ) > $o ).
thf(tp_exuE1,type,
exuE1: $o ).
thf(tp_exuE2,type,
exuE2: $o ).
thf(tp_exuE3e,type,
exuE3e: $o ).
thf(tp_exuE3u,type,
exuE3u: $o ).
thf(tp_exuEu,type,
exuEu: $o ).
thf(tp_exuI1,type,
exuI1: $o ).
thf(tp_exuI2,type,
exuI2: $o ).
thf(tp_exuI3,type,
exuI3: $o ).
thf(tp_exu__Cong,type,
exu__Cong: $o ).
thf(tp_foundationAx,type,
foundationAx: $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_inCongP,type,
inCongP: $o ).
thf(tp_in__Cong,type,
in__Cong: $o ).
thf(tp_noeltsimpempty,type,
noeltsimpempty: $o ).
thf(tp_nonempty,type,
nonempty: $i > $o ).
thf(tp_nonemptyE1,type,
nonemptyE1: $o ).
thf(tp_nonemptyI,type,
nonemptyI: $o ).
thf(tp_nonemptyI1,type,
nonemptyI1: $o ).
thf(tp_nonemptyImpWitness,type,
nonemptyImpWitness: $o ).
thf(tp_notdallE,type,
notdallE: $o ).
thf(tp_notdexE,type,
notdexE: $o ).
thf(tp_notinemptyset,type,
notinemptyset: $o ).
thf(tp_notinsingleton,type,
notinsingleton: $o ).
thf(tp_omega,type,
omega: $i ).
thf(tp_omega0Ax,type,
omega0Ax: $o ).
thf(tp_omegaIndAx,type,
omegaIndAx: $o ).
thf(tp_omegaSAx,type,
omegaSAx: $o ).
thf(tp_omega__Cong,type,
omega__Cong: $o ).
thf(tp_powerset,type,
powerset: $i > $i ).
thf(tp_powersetAx,type,
powersetAx: $o ).
thf(tp_powersetE,type,
powersetE: $o ).
thf(tp_powersetI,type,
powersetI: $o ).
thf(tp_powerset__Cong,type,
powerset__Cong: $o ).
thf(tp_prop2set,type,
prop2set: $o > $i ).
thf(tp_prop2set2propI,type,
prop2set2propI: $o ).
thf(tp_prop2setE,type,
prop2setE: $o ).
thf(tp_prop2setI,type,
prop2setI: $o ).
thf(tp_quantDeMorgan1,type,
quantDeMorgan1: $o ).
thf(tp_quantDeMorgan2,type,
quantDeMorgan2: $o ).
thf(tp_quantDeMorgan3,type,
quantDeMorgan3: $o ).
thf(tp_quantDeMorgan4,type,
quantDeMorgan4: $o ).
thf(tp_replAx,type,
replAx: $o ).
thf(tp_sK100_SY638,type,
sK100_SY638: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK101_SY788,type,
sK101_SY788: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK102_SY638,type,
sK102_SY638: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK103_SY788,type,
sK103_SY788: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK104_SY638,type,
sK104_SY638: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK105_SY788,type,
sK105_SY788: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK106_SY638,type,
sK106_SY638: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK107_SY788,type,
sK107_SY788: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK108_SY638,type,
sK108_SY638: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK109_SY788,type,
sK109_SY788: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK10_SY774,type,
sK10_SY774: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK110_SY638,type,
sK110_SY638: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK111_SY974,type,
sK111_SY974: $i > ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK112_SY975,type,
sK112_SY975: $i > ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK113_SY976,type,
sK113_SY976: $i > ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK114_SY977,type,
sK114_SY977: $i > ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK115_SY981,type,
sK115_SY981: $i > ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK116_SY982,type,
sK116_SY982: $i > ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK117_SY983,type,
sK117_SY983: $i > ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK118_SY991,type,
sK118_SY991: $i > ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK11_SY784,type,
sK11_SY784: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK12_SY796,type,
sK12_SY796: $i > $i > $i ).
thf(tp_sK13_SY797,type,
sK13_SY797: $i > $i > $i ).
thf(tp_sK14_SY806,type,
sK14_SY806: $i > $i > $i ).
thf(tp_sK15_SY822,type,
sK15_SY822: ( $i > $i > $o ) > $i > $i ).
thf(tp_sK16_SY867,type,
sK16_SY867: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK17_SY869,type,
sK17_SY869: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK18_SY704,type,
sK18_SY704: $i > $i ).
thf(tp_sK19_SY713,type,
sK19_SY713: $i > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK20_SY762,type,
sK20_SY762: ( $i > $o ) > $i > $i ).
thf(tp_sK21_SY772,type,
sK21_SY772: ( $i > $o ) > $i > $i ).
thf(tp_sK22_SY876,type,
sK22_SY876: $i > ( $i > $o ) > $i ).
thf(tp_sK23_SY588,type,
sK23_SY588: $i > $i > $i ).
thf(tp_sK24_SY868,type,
sK24_SY868: $o > $i > $i > $i ).
thf(tp_sK25_SX0,type,
sK25_SX0: $i > $i > $i ).
thf(tp_sK26_SX0,type,
sK26_SX0: $i > $i > $i ).
thf(tp_sK27_SY795,type,
sK27_SY795: $i > $i > $i ).
thf(tp_sK28_SY731,type,
sK28_SY731: $i > $i ).
thf(tp_sK29_SY758,type,
sK29_SY758: $i > $i > $i ).
thf(tp_sK2_SY683,type,
sK2_SY683: $i > $i ).
thf(tp_sK30_SY770,type,
sK30_SY770: $i > $i > $i ).
thf(tp_sK31_SY648,type,
sK31_SY648: $i > ( $i > $o ) > $i ).
thf(tp_sK32_SY883,type,
sK32_SY883: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(tp_sK33_SY825,type,
sK33_SY825: ( $i > $i > $o ) > $i > $i ).
thf(tp_sK34_SY753,type,
sK34_SY753: $i > ( $i > $o ) > $i > $i ).
thf(tp_sK35_SY770,type,
sK35_SY770: $i > $i > $i ).
thf(tp_sK36_SY896,type,
sK36_SY896: $i > ( $i > $o ) > $i ).
thf(tp_sK37_SY800,type,
sK37_SY800: $i > ( $i > $o ) > $i > $i ).
thf(tp_sK38_SY862,type,
sK38_SY862: $i > ( $i > $o ) > $i ).
thf(tp_sK39_SY864,type,
sK39_SY864: $i > ( $i > $o ) > $i ).
thf(tp_sK3_SY829,type,
sK3_SY829: $i ).
thf(tp_sK40_SY865,type,
sK40_SY865: $i > ( $i > $o ) > $i ).
thf(tp_sK41_SY866,type,
sK41_SY866: $i > ( $i > $o ) > $i ).
thf(tp_sK42_SY870,type,
sK42_SY870: $i > ( $i > $o ) > $i ).
thf(tp_sK43_SY897,type,
sK43_SY897: $i > ( $i > $o ) > ( $i > $o ) > $i > $i ).
thf(tp_sK44_SY879,type,
sK44_SY879: $i > ( $i > $o ) > $i ).
thf(tp_sK45_SY880,type,
sK45_SY880: $i > ( $i > $o ) > $i ).
thf(tp_sK46_SY579,type,
sK46_SY579: $i > ( $i > $o ) > $i ).
thf(tp_sK47_SY761,type,
sK47_SY761: $i > ( $i > $o ) > $i > $i ).
thf(tp_sK48_SY606,type,
sK48_SY606: $i > ( $i > $o ) > $i ).
thf(tp_sK49_SY650,type,
sK49_SY650: $i > ( $i > $o ) > $i ).
thf(tp_sK4_SY703,type,
sK4_SY703: $i > $i ).
thf(tp_sK50_SY650,type,
sK50_SY650: $i > ( $i > $o ) > $i ).
thf(tp_sK51_SY661,type,
sK51_SY661: $i > ( $i > $o ) > $i ).
thf(tp_sK52_SY888,type,
sK52_SY888: $i > $i > $i ).
thf(tp_sK53_SY895,type,
sK53_SY895: $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK54_SY735,type,
sK54_SY735: $i > ( $i > $o ) > $i ).
thf(tp_sK55_SY579,type,
sK55_SY579: $i > ( $i > $o ) > $i ).
thf(tp_sK56_SY606,type,
sK56_SY606: $i > ( $i > $o ) > $i ).
thf(tp_sK57_SY650,type,
sK57_SY650: $i > ( $i > $o ) > $i ).
thf(tp_sK58_SY661,type,
sK58_SY661: $i > ( $i > $o ) > $i ).
thf(tp_sK59_SY718,type,
sK59_SY718: $i > ( $i > $o ) > $i ).
thf(tp_sK5_SY860,type,
sK5_SY860: $i ).
thf(tp_sK60_SY735,type,
sK60_SY735: $i > ( $i > $o ) > $i ).
thf(tp_sK61_SY718,type,
sK61_SY718: $i > ( $i > $o ) > $i ).
thf(tp_sK62_SY718,type,
sK62_SY718: $i > ( $i > $o ) > $i ).
thf(tp_sK63_SY718,type,
sK63_SY718: $i > ( $i > $o ) > $i ).
thf(tp_sK64_SY825,type,
sK64_SY825: $i > ( $i > $i > $o ) > $i > $i ).
thf(tp_sK65_SY906,type,
sK65_SY906: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK66_SY904,type,
sK66_SY904: $i > ( $i > $i > $o ) > $i > $i ).
thf(tp_sK67_SY825,type,
sK67_SY825: $i > ( $i > $i > $o ) > $i > $i ).
thf(tp_sK68_SY922,type,
sK68_SY922: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK69_SY923,type,
sK69_SY923: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK6_SY741,type,
sK6_SY741: $i > $i ).
thf(tp_sK70_SY890,type,
sK70_SY890: $i > $i > $i > $i ).
thf(tp_sK71_SY890,type,
sK71_SY890: $i > $i > $i > $i ).
thf(tp_sK72_SY931,type,
sK72_SY931: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK73_SY936,type,
sK73_SY936: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK74_SY937,type,
sK74_SY937: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK75_SY788,type,
sK75_SY788: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK76_SY638,type,
sK76_SY638: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK77_SY926,type,
sK77_SY926: $i > $i > $i > $i ).
thf(tp_sK78_SY952,type,
sK78_SY952: $i > $i > $i > $i ).
thf(tp_sK79_SY941,type,
sK79_SY941: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK7_SY754,type,
sK7_SY754: ( $i > $o ) > $i > $i ).
thf(tp_sK80_SY788,type,
sK80_SY788: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK81_SY638,type,
sK81_SY638: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK82_SY958,type,
sK82_SY958: $i > $i > $i > $i ).
thf(tp_sK83_SY944,type,
sK83_SY944: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK84_SY945,type,
sK84_SY945: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK85_SY942,type,
sK85_SY942: $i > $i > ( $i > $i > $o ) > $i > $i ).
thf(tp_sK86_SY948,type,
sK86_SY948: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK87_SY949,type,
sK87_SY949: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK88_SY950,type,
sK88_SY950: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK89_SY951,type,
sK89_SY951: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK8_SY769,type,
sK8_SY769: $i > $i > $i ).
thf(tp_sK90_SY946,type,
sK90_SY946: $i > $i > ( $i > $i > $o ) > $i > $i ).
thf(tp_sK91_SY956,type,
sK91_SY956: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK92_SY957,type,
sK92_SY957: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK93_SY962,type,
sK93_SY962: $i > ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK94_SY788,type,
sK94_SY788: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK95_SY638,type,
sK95_SY638: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK96_SY963,type,
sK96_SY963: $i > ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK97_SY788,type,
sK97_SY788: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK98_SY638,type,
sK98_SY638: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK99_SY788,type,
sK99_SY788: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK9_SY771,type,
sK9_SY771: $i > $i > $i ).
thf(tp_set2prop,type,
set2prop: $i > $o ).
thf(tp_setadjoin,type,
setadjoin: $i > $i > $i ).
thf(tp_setadjoinAx,type,
setadjoinAx: $o ).
thf(tp_setadjoinE,type,
setadjoinE: $o ).
thf(tp_setadjoinIL,type,
setadjoinIL: $o ).
thf(tp_setadjoinIR,type,
setadjoinIR: $o ).
thf(tp_setadjoinOr,type,
setadjoinOr: $o ).
thf(tp_setadjoin__Cong,type,
setadjoin__Cong: $o ).
thf(tp_setbeta,type,
setbeta: $o ).
thf(tp_setext,type,
setext: $o ).
thf(tp_setextAx,type,
setextAx: $o ).
thf(tp_setoftrueEq,type,
setoftrueEq: $o ).
thf(tp_setsmeet,type,
setsmeet: $i > $i > $o ).
thf(tp_setunion,type,
setunion: $i > $i ).
thf(tp_setunionAx,type,
setunionAx: $o ).
thf(tp_setunionE,type,
setunionE: $o ).
thf(tp_setunionI,type,
setunionI: $o ).
thf(tp_setunion__Cong,type,
setunion__Cong: $o ).
thf(tp_singletonsswitch,type,
singletonsswitch: $o ).
thf(tp_subPowSU,type,
subPowSU: $o ).
thf(tp_subset,type,
subset: $i > $i > $o ).
thf(tp_subsetE,type,
subsetE: $o ).
thf(tp_subsetI1,type,
subsetI1: $o ).
thf(tp_subsetI2,type,
subsetI2: $o ).
thf(tp_uniqinunit,type,
uniqinunit: $o ).
thf(tp_upairsetE,type,
upairsetE: $o ).
thf(tp_upairsetIL,type,
upairsetIL: $o ).
thf(tp_upairsetIR,type,
upairsetIR: $o ).
thf(tp_vacuousDall,type,
vacuousDall: $o ).
thf(tp_wellorderingAx,type,
wellorderingAx: $o ).
thf(descr__Cong,definition,
( descr__Cong
= ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( Xphi @ Xx )
<=> ( Xpsi @ Xy ) ) )
=> ( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ( ( exu
@ ^ [Xx: $i] : ( Xpsi @ Xx ) )
=> ( ( descr
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= ( descr
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',descr__Cong) ).
thf(descrp,definition,
( descrp
= ( ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ( Xphi
@ ( descr
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',descrp) ).
thf(dsetconstrEL,definition,
( dsetconstrEL
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrEL) ).
thf(dsetconstrER,definition,
( dsetconstrER
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrER) ).
thf(dsetconstrI,definition,
( dsetconstrI
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrI) ).
thf(dsetconstr__Cong,definition,
( dsetconstr__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xphi: $i > $o,Xpsi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( Xx = Xy )
=> ( ( Xphi @ Xx )
<=> ( Xpsi @ Xy ) ) ) ) )
=> ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= ( dsetconstr @ B
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstr__Cong) ).
thf(emptyE1,definition,
( emptyE1
= ( ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ( ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= emptyset )
=> $false ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyE1) ).
thf(emptyI,definition,
( emptyI
= ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyI) ).
thf(emptyInPowerset,definition,
( emptyInPowerset
= ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyInPowerset) ).
thf(emptyinPowerset,definition,
( emptyinPowerset
= ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyinPowerset) ).
thf(emptyinunitempty,definition,
( emptyinunitempty
= ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyinunitempty) ).
thf(emptysetAx,definition,
( emptysetAx
= ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetAx) ).
thf(emptysetE,definition,
( emptysetE
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetE) ).
thf(emptyset__Cong,definition,
( emptyset__Cong
= ( emptyset = emptyset ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyset__Cong) ).
thf(emptysetimpfalse,definition,
( emptysetimpfalse
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> $false ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetimpfalse) ).
thf(emptysetsubset,definition,
( emptysetsubset
= ( ! [A: $i] : ( subset @ emptyset @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetsubset) ).
thf(eqimpsubset1,definition,
( eqimpsubset1
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqimpsubset1) ).
thf(eqimpsubset2,definition,
( eqimpsubset2
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ B @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqimpsubset2) ).
thf(eqinunit,definition,
( eqinunit
= ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqinunit) ).
thf(exu,definition,
( exu
= ( ^ [Xphi: $i > $o] :
? [Xx: $i] :
( ( Xphi @ Xx )
& ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exu) ).
thf(exuE1,definition,
( exuE1
= ( ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( Xphi @ Xx )
& ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE1) ).
thf(exuE2,definition,
( exuE2
= ( ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ? [Xx: $i] :
! [Xy: $i] :
( ( Xphi @ Xy )
<=> ( Xy = Xx ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE2) ).
thf(exuE3e,definition,
( exuE3e
= ( ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ? [Xx: $i] : ( Xphi @ Xx ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE3e) ).
thf(exuE3u,definition,
( exuE3u
= ( ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ! [Xx: $i,Xy: $i] :
( ( Xphi @ Xx )
=> ( ( Xphi @ Xy )
=> ( Xx = Xy ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE3u) ).
thf(exuEu,definition,
( exuEu
= ( ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ! [Xx: $i,Xy: $i] :
( ( Xphi @ Xx )
=> ( ( Xphi @ Xy )
=> ( Xx = Xy ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuEu) ).
thf(exuI1,definition,
( exuI1
= ( ! [Xphi: $i > $o] :
( ? [Xx: $i] :
( ( Xphi @ Xx )
& ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) ) )
=> ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuI1) ).
thf(exuI2,definition,
( exuI2
= ( ! [Xphi: $i > $o] :
( ? [Xx: $i] :
! [Xy: $i] :
( ( Xphi @ Xy )
<=> ( Xy = Xx ) )
=> ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuI2) ).
thf(exuI3,definition,
( exuI3
= ( ! [Xphi: $i > $o] :
( ? [Xx: $i] : ( Xphi @ Xx )
=> ( ! [Xx: $i,Xy: $i] :
( ( Xphi @ Xx )
=> ( ( Xphi @ Xy )
=> ( Xx = Xy ) ) )
=> ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuI3) ).
thf(exu__Cong,definition,
( exu__Cong
= ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( Xphi @ Xx )
<=> ( Xpsi @ Xy ) ) )
=> ( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
<=> ( exu
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exu__Cong) ).
thf(foundationAx,definition,
( foundationAx
= ( ! [A: $i] :
( ? [Xx: $i] : ( in @ Xx @ A )
=> ? [B: $i] :
( ( in @ B @ A )
& ~ ? [Xx: $i] :
( ( in @ Xx @ B )
& ( in @ Xx @ A ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',foundationAx) ).
thf(inCongP,definition,
( inCongP
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
=> ( in @ Xy @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inCongP) ).
thf(in__Cong,definition,
( in__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in__Cong) ).
thf(noeltsimpempty,definition,
( noeltsimpempty
= ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',noeltsimpempty) ).
thf(nonempty,definition,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonempty) ).
thf(nonemptyE1,definition,
( nonemptyE1
= ( ! [A: $i] :
( ( nonempty @ A )
=> ? [Xx: $i] : ( in @ Xx @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyE1) ).
thf(nonemptyI,definition,
( nonemptyI
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( nonempty
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyI) ).
thf(nonemptyI1,definition,
( nonemptyI1
= ( ! [A: $i] :
( ? [Xx: $i] : ( in @ Xx @ A )
=> ( nonempty @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyI1) ).
thf(nonemptyImpWitness,definition,
( nonemptyImpWitness
= ( ! [A: $i] :
( ( nonempty @ A )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& $true ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyImpWitness) ).
thf(notdallE,definition,
( notdallE
= ( ! [A: $i,Xphi: $i > $o] :
( ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notdallE) ).
thf(notdexE,definition,
( notdexE
= ( ! [A: $i,Xphi: $i > $o] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notdexE) ).
thf(notinemptyset,definition,
( notinemptyset
= ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notinemptyset) ).
thf(notinsingleton,definition,
( notinsingleton
= ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
=> ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notinsingleton) ).
thf(omega0Ax,definition,
( omega0Ax
= ( in @ emptyset @ omega ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega0Ax) ).
thf(omegaIndAx,definition,
( omegaIndAx
= ( ! [A: $i] :
( ( ( in @ emptyset @ A )
& ! [Xx: $i] :
( ( ( in @ Xx @ omega )
& ( in @ Xx @ A ) )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
=> ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ Xx @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omegaIndAx) ).
thf(omegaSAx,definition,
( omegaSAx
= ( ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omegaSAx) ).
thf(omega__Cong,definition,
( omega__Cong
= ( omega = omega ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega__Cong) ).
thf(powersetAx,definition,
( powersetAx
= ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
<=> ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetAx) ).
thf(powersetE,definition,
( powersetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetE) ).
thf(powersetI,definition,
( powersetI
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetI) ).
thf(powerset__Cong,definition,
( powerset__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( powerset @ A )
= ( powerset @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powerset__Cong) ).
thf(prop2set2propI,definition,
( prop2set2propI
= ( ! [Xphi: $o] :
( Xphi
=> ( set2prop @ ( prop2set @ Xphi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2set2propI) ).
thf(prop2setE,definition,
( prop2setE
= ( ! [Xphi: $o,Xx: $i] :
( ( in @ Xx @ ( prop2set @ Xphi ) )
=> Xphi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2setE) ).
thf(prop2setI,definition,
( prop2setI
= ( ! [Xphi: $o] :
( Xphi
=> ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2setI) ).
thf(quantDeMorgan1,definition,
( quantDeMorgan1
= ( ! [A: $i,Xphi: $i > $o] :
( ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quantDeMorgan1) ).
thf(quantDeMorgan2,definition,
( quantDeMorgan2
= ( ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) )
=> ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quantDeMorgan2) ).
thf(quantDeMorgan3,definition,
( quantDeMorgan3
= ( ! [A: $i,Xphi: $i > $o] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quantDeMorgan3) ).
thf(quantDeMorgan4,definition,
( quantDeMorgan4
= ( ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) )
=> ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quantDeMorgan4) ).
thf(replAx,definition,
( replAx
= ( ! [Xphi: $i > $i > $o,A: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( exu
@ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
=> ? [B: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
<=> ? [Xy: $i] :
( ( in @ Xy @ A )
& ( Xphi @ Xy @ Xx ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',replAx) ).
thf(setadjoinAx,definition,
( setadjoinAx
= ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
<=> ( ( Xy = Xx )
| ( in @ Xy @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinAx) ).
thf(setadjoinE,definition,
( setadjoinE
= ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ! [Xphi: $o] :
( ( ( Xy = Xx )
=> Xphi )
=> ( ( ( in @ Xy @ A )
=> Xphi )
=> Xphi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinE) ).
thf(setadjoinIL,definition,
( setadjoinIL
= ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIL) ).
thf(setadjoinIR,definition,
( setadjoinIR
= ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ A )
=> ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIR) ).
thf(setadjoinOr,definition,
( setadjoinOr
= ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ( ( Xy = Xx )
| ( in @ Xy @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinOr) ).
thf(setadjoin__Cong,definition,
( setadjoin__Cong
= ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ! [Xz: $i,Xu: $i] :
( ( Xz = Xu )
=> ( ( setadjoin @ Xx @ Xz )
= ( setadjoin @ Xy @ Xu ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoin__Cong) ).
thf(setbeta,definition,
( setbeta
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setbeta) ).
thf(setext,definition,
( setext
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( A = B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setext) ).
thf(setextAx,definition,
( setextAx
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
<=> ( in @ Xx @ B ) )
=> ( A = B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setextAx) ).
thf(setoftrueEq,definition,
( setoftrueEq
= ( ! [A: $i] :
( ( dsetconstr @ A
@ ^ [Xx: $i] : $true )
= A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setoftrueEq) ).
thf(setunionAx,definition,
( setunionAx
= ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
<=> ? [B: $i] :
( ( in @ Xx @ B )
& ( in @ B @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionAx) ).
thf(setunionE,definition,
( setunionE
= ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ! [Xphi: $o] :
( ! [B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> Xphi ) )
=> Xphi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionE) ).
thf(setunionI,definition,
( setunionI
= ( ! [A: $i,Xx: $i,B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> ( in @ Xx @ ( setunion @ A ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionI) ).
thf(setunion__Cong,definition,
( setunion__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( setunion @ A )
= ( setunion @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunion__Cong) ).
thf(singletonsswitch,definition,
( singletonsswitch
= ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singletonsswitch) ).
thf(subPowSU,definition,
( subPowSU
= ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subPowSU) ).
thf(subsetE,definition,
( subsetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetE) ).
thf(subsetI1,definition,
( subsetI1
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetI1) ).
thf(subsetI2,definition,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetI2) ).
thf(uniqinunit,definition,
( uniqinunit
= ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uniqinunit) ).
thf(upairsetE,definition,
( upairsetE
= ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ( Xz = Xx )
| ( Xz = Xy ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetE) ).
thf(upairsetIL,definition,
( upairsetIL
= ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetIL) ).
thf(upairsetIR,definition,
( upairsetIR
= ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetIR) ).
thf(vacuousDall,definition,
( vacuousDall
= ( ! [Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ emptyset )
=> ( Xphi @ Xx ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',vacuousDall) ).
thf(wellorderingAx,definition,
( wellorderingAx
= ( ! [A: $i] :
? [B: $i] :
( ! [C: $i] :
( ( in @ C @ B )
=> ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ A ) ) )
& ! [Xx: $i,Xy: $i] :
( ( ( in @ Xx @ A )
& ( in @ Xy @ A ) )
=> ( ! [C: $i] :
( ( in @ C @ B )
=> ( ( in @ Xx @ C )
<=> ( in @ Xy @ C ) ) )
=> ( Xx = Xy ) ) )
& ! [C: $i,D: $i] :
( ( ( in @ C @ B )
& ( in @ D @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ D ) )
| ! [Xx: $i] :
( ( in @ Xx @ D )
=> ( in @ Xx @ C ) ) ) )
& ! [C: $i] :
( ( ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ A ) )
& ? [Xx: $i] : ( in @ Xx @ C ) )
=> ? [D: $i,Xx: $i] :
( ( in @ D @ B )
& ( in @ Xx @ C )
& ~ ? [Xy: $i] :
( ( in @ Xy @ D )
& ( in @ Xy @ C ) )
& ! [E: $i] :
( ( in @ E @ B )
=> ( ! [Xy: $i] :
( ( in @ Xy @ E )
=> ( in @ Xy @ D ) )
| ( in @ Xx @ E ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wellorderingAx) ).
thf(1,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ~ ( in @ Xx @ B )
=> ~ ( in @ Xx @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetE2) ).
thf(2,negated_conjecture,
( ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ~ ( in @ Xx @ B )
=> ~ ( in @ Xx @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
<=> ( in @ Xx @ B ) )
=> ( A = B ) )
=> ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset )
=> ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
<=> ( ( Xy = Xx )
| ( in @ Xy @ A ) ) )
=> ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
<=> ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) )
=> ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
<=> ? [B: $i] :
( ( in @ Xx @ B )
& ( in @ B @ A ) ) )
=> ( ( in @ emptyset @ omega )
=> ( ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) )
=> ( ! [A: $i] :
( ( ( in @ emptyset @ A )
& ! [Xx: $i] :
( ( ( in @ Xx @ omega )
& ( in @ Xx @ A ) )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
=> ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ Xx @ A ) ) )
=> ( ! [SY20: $i > $i > $o,SY21: $i] :
( ! [SY22: $i] :
( ( in @ SY22 @ SY21 )
=> ? [SY24: $i] :
( ( SY20 @ SY22 @ SY24 )
& ! [SY25: $i] :
( ( SY20 @ SY22 @ SY25 )
=> ( SY24 = SY25 ) ) ) )
=> ? [B: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
<=> ? [Xy: $i] :
( ( in @ Xy @ SY21 )
& ( SY20 @ Xy @ Xx ) ) ) )
=> ( ! [A: $i] :
( ? [Xx: $i] : ( in @ Xx @ A )
=> ? [B: $i] :
( ( in @ B @ A )
& ~ ? [Xx: $i] :
( ( in @ Xx @ B )
& ( in @ Xx @ A ) ) ) )
=> ( ! [A: $i] :
? [B: $i] :
( ! [C: $i] :
( ( in @ C @ B )
=> ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ A ) ) )
& ! [Xx: $i,Xy: $i] :
( ( ( in @ Xx @ A )
& ( in @ Xy @ A ) )
=> ( ! [C: $i] :
( ( in @ C @ B )
=> ( ( in @ Xx @ C )
<=> ( in @ Xy @ C ) ) )
=> ( Xx = Xy ) ) )
& ! [C: $i,D: $i] :
( ( ( in @ C @ B )
& ( in @ D @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ D ) )
| ! [Xx: $i] :
( ( in @ Xx @ D )
=> ( in @ Xx @ C ) ) ) )
& ! [C: $i] :
( ( ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ A ) )
& ? [Xx: $i] : ( in @ Xx @ C ) )
=> ? [D: $i,Xx: $i] :
( ( in @ D @ B )
& ( in @ Xx @ C )
& ~ ? [Xy: $i] :
( ( in @ Xy @ D )
& ( in @ Xy @ C ) )
& ! [E: $i] :
( ( in @ E @ B )
=> ( ! [Xy: $i] :
( ( in @ Xy @ E )
=> ( in @ Xy @ D ) )
| ( in @ Xx @ E ) ) ) ) ) )
=> ( ! [SY52: $i > $o] :
( ? [SY54: $i] :
( ( SY52 @ SY54 )
& ! [SY55: $i] :
( ( SY52 @ SY55 )
=> ( SY54 = SY55 ) ) )
=> ( SY52
@ ( descr
@ ^ [Xx: $i] : ( SY52 @ Xx ) ) ) )
=> ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) )
=> ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) )
=> ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) )
=> ( ! [SY69: $i > $o] :
( ? [SY71: $i] :
( ( SY69 @ SY71 )
& ! [SY72: $i] :
( ( SY69 @ SY72 )
=> ( SY71 = SY72 ) ) )
=> ? [Xx: $i] :
( ( SY69 @ Xx )
& ! [Xy: $i] :
( ( SY69 @ Xy )
=> ( Xx = Xy ) ) ) )
=> ( ! [Xphi: $o,Xx: $i] :
( ( in @ Xx @ ( prop2set @ Xphi ) )
=> Xphi )
=> ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi )
=> ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> $false )
=> ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset )
=> ( ! [SY81: $i > $o] :
( ? [SY83: $i] :
( ( SY81 @ SY83 )
& ! [SY84: $i] :
( ( SY81 @ SY84 )
=> ( SY83 = SY84 ) ) )
=> ? [Xx: $i] : ( SY81 @ Xx ) )
=> ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( A = B ) ) )
=> ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) )
=> ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) )
=> ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) )
=> ( ! [SY98: $i] :
( ( SY98 != emptyset )
=> ? [Xx: $i] : ( in @ Xx @ SY98 ) )
=> ( ! [SY100: $i,SY101: $i > $o,SY102: $i] :
( ( in @ SY102 @ SY100 )
=> ( ( SY101 @ SY102 )
=> ( ( dsetconstr @ SY100
@ ^ [Xy: $i] : ( SY101 @ Xy ) )
!= emptyset ) ) )
=> ( ! [SY104: $i] :
( ? [Xx: $i] : ( in @ Xx @ SY104 )
=> ( SY104 != emptyset ) )
=> ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) )
=> ( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
=> ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ A )
=> ( in @ Xy @ ( setadjoin @ Xx @ A ) ) )
=> ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ! [Xphi: $o] :
( ( ( Xy = Xx )
=> Xphi )
=> ( ( ( in @ Xy @ A )
=> Xphi )
=> Xphi ) ) )
=> ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ( ( Xy = Xx )
| ( in @ Xy @ A ) ) )
=> ( ! [A: $i] :
( ( dsetconstr @ A
@ ^ [Xx: $i] : $true )
= A )
=> ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) )
=> ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) )
=> ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) )
=> ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) )
=> ( ! [A: $i,Xx: $i,B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> ( in @ Xx @ ( setunion @ A ) ) ) )
=> ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ! [Xphi: $o] :
( ! [B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> Xphi ) )
=> Xphi ) )
=> ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) )
=> ( ! [SY137: $i > $o] :
( ? [SY139: $i] :
( ( SY137 @ SY139 )
& ! [SY140: $i] :
( ( SY137 @ SY140 )
=> ( SY139 = SY140 ) ) )
=> ? [Xx: $i] :
! [Xy: $i] :
( ( SY137 @ Xy )
<=> ( Xy = Xx ) ) )
=> ( ! [SY143: $i] :
( ( SY143 != emptyset )
=> ? [Xx: $i] :
( ( in @ Xx @ SY143 )
& $true ) )
=> ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) )
=> ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
=> ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) )
=> ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) )
=> ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ( Xz = Xx )
| ( Xz = Xy ) ) )
=> ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ( ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= emptyset )
=> $false ) )
=> ( ! [Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ emptyset )
=> ( Xphi @ Xx ) )
=> ( ! [A: $i,Xphi: $i > $o] :
( ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) ) )
=> ( ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) )
=> ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) ) )
=> ( ! [A: $i,Xphi: $i > $o] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) ) )
=> ( ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) )
=> ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) ) )
=> ( ! [Xphi: $o] :
( Xphi
=> ( in @ emptyset @ ( prop2set @ Xphi ) ) )
=> ( ! [Xphi: $o] :
( Xphi
=> ( set2prop @ ( prop2set @ Xphi ) ) )
=> ( ! [A: $i,Xphi: $i > $o] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) ) )
=> ( ! [A: $i,Xphi: $i > $o] :
( ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) ) )
=> ( ! [SY192: $i > $o] :
( ? [Xx: $i] :
( ( SY192 @ Xx )
& ! [Xy: $i] :
( ( SY192 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY196: $i] :
( ( SY192 @ SY196 )
& ! [SY197: $i] :
( ( SY192 @ SY197 )
=> ( SY196 = SY197 ) ) ) )
=> ( ! [SY198: $i > $o] :
( ? [Xx: $i] : ( SY198 @ Xx )
=> ( ! [Xx: $i,Xy: $i] :
( ( SY198 @ Xx )
=> ( ( SY198 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY203: $i] :
( ( SY198 @ SY203 )
& ! [SY204: $i] :
( ( SY198 @ SY204 )
=> ( SY203 = SY204 ) ) ) ) )
=> ( ! [SY205: $i > $o] :
( ? [Xx: $i] :
! [Xy: $i] :
( ( SY205 @ Xy )
<=> ( Xy = Xx ) )
=> ? [SY209: $i] :
( ( SY205 @ SY209 )
& ! [SY210: $i] :
( ( SY205 @ SY210 )
=> ( SY209 = SY210 ) ) ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
=> ( in @ Xy @ B ) ) ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) )
=> ( ! [SY219: $i > $o] :
( ? [SY221: $i] :
( ( SY219 @ SY221 )
& ! [SY222: $i] :
( ( SY219 @ SY222 )
=> ( SY221 = SY222 ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( SY219 @ Xx )
=> ( ( SY219 @ Xy )
=> ( Xx = Xy ) ) ) )
=> ( ! [SY225: $i > $o,SY226: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( SY225 @ Xx )
<=> ( SY226 @ Xy ) ) )
=> ( ? [SY230: $i] :
( ( SY225 @ SY230 )
& ! [SY231: $i] :
( ( SY225 @ SY231 )
=> ( SY230 = SY231 ) ) )
<=> ? [SY233: $i] :
( ( SY226 @ SY233 )
& ! [SY234: $i] :
( ( SY226 @ SY234 )
=> ( SY233 = SY234 ) ) ) ) )
=> ( ( emptyset = emptyset )
=> ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ! [Xz: $i,Xu: $i] :
( ( Xz = Xu )
=> ( ( setadjoin @ Xx @ Xz )
= ( setadjoin @ Xy @ Xu ) ) ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( powerset @ A )
= ( powerset @ B ) ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( setunion @ A )
= ( setunion @ B ) ) )
=> ( ( omega = omega )
=> ( ! [SY243: $i > $o] :
( ? [SY245: $i] :
( ( SY243 @ SY245 )
& ! [SY246: $i] :
( ( SY243 @ SY246 )
=> ( SY245 = SY246 ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( SY243 @ Xx )
=> ( ( SY243 @ Xy )
=> ( Xx = Xy ) ) ) )
=> ( ! [SY249: $i > $o,SY250: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( SY249 @ Xx )
<=> ( SY250 @ Xy ) ) )
=> ( ? [SY254: $i] :
( ( SY249 @ SY254 )
& ! [SY255: $i] :
( ( SY249 @ SY255 )
=> ( SY254 = SY255 ) ) )
=> ( ? [SY257: $i] :
( ( SY250 @ SY257 )
& ! [SY258: $i] :
( ( SY250 @ SY258 )
=> ( SY257 = SY258 ) ) )
=> ( ( descr
@ ^ [Xx: $i] : ( SY249 @ Xx ) )
= ( descr
@ ^ [Xx: $i] : ( SY250 @ Xx ) ) ) ) ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xphi: $i > $o,Xpsi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( Xx = Xy )
=> ( ( Xphi @ Xx )
<=> ( Xpsi @ Xy ) ) ) ) )
=> ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= ( dsetconstr @ B
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) )
=> ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ B @ A ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ A @ B ) )
=> ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) )
=> ( ! [A: $i] : ( subset @ emptyset @ A )
=> ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) )
=> ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ~ ( in @ Xx @ B )
=> ~ ( in @ Xx @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(4,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
<=> ( in @ Xx @ B ) )
=> ( A = B ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
<=> ( ( Xy = Xx )
| ( in @ Xy @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
<=> ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
<=> ? [B: $i] :
( ( in @ Xx @ B )
& ( in @ B @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( in @ emptyset @ omega )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(10,plain,
( ( ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(11,plain,
( ( ! [A: $i] :
( ( ( in @ emptyset @ A )
& ! [Xx: $i] :
( ( ( in @ Xx @ omega )
& ( in @ Xx @ A ) )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
=> ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ Xx @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(12,plain,
( ( ! [SY20: $i > $i > $o,SY21: $i] :
( ! [SY22: $i] :
( ( in @ SY22 @ SY21 )
=> ? [SY24: $i] :
( ( SY20 @ SY22 @ SY24 )
& ! [SY25: $i] :
( ( SY20 @ SY22 @ SY25 )
=> ( SY24 = SY25 ) ) ) )
=> ? [B: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
<=> ? [Xy: $i] :
( ( in @ Xy @ SY21 )
& ( SY20 @ Xy @ Xx ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(13,plain,
( ( ! [A: $i] :
( ? [Xx: $i] : ( in @ Xx @ A )
=> ? [B: $i] :
( ( in @ B @ A )
& ~ ? [Xx: $i] :
( ( in @ Xx @ B )
& ( in @ Xx @ A ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(14,plain,
( ( ! [A: $i] :
? [B: $i] :
( ! [C: $i] :
( ( in @ C @ B )
=> ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ A ) ) )
& ! [Xx: $i,Xy: $i] :
( ( ( in @ Xx @ A )
& ( in @ Xy @ A ) )
=> ( ! [C: $i] :
( ( in @ C @ B )
=> ( ( in @ Xx @ C )
<=> ( in @ Xy @ C ) ) )
=> ( Xx = Xy ) ) )
& ! [C: $i,D: $i] :
( ( ( in @ C @ B )
& ( in @ D @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ D ) )
| ! [Xx: $i] :
( ( in @ Xx @ D )
=> ( in @ Xx @ C ) ) ) )
& ! [C: $i] :
( ( ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ A ) )
& ? [Xx: $i] : ( in @ Xx @ C ) )
=> ? [D: $i,Xx: $i] :
( ( in @ D @ B )
& ( in @ Xx @ C )
& ~ ? [Xy: $i] :
( ( in @ Xy @ D )
& ( in @ Xy @ C ) )
& ! [E: $i] :
( ( in @ E @ B )
=> ( ! [Xy: $i] :
( ( in @ Xy @ E )
=> ( in @ Xy @ D ) )
| ( in @ Xx @ E ) ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(15,plain,
( ( ! [SY52: $i > $o] :
( ? [SY54: $i] :
( ( SY52 @ SY54 )
& ! [SY55: $i] :
( ( SY52 @ SY55 )
=> ( SY54 = SY55 ) ) )
=> ( SY52
@ ( descr
@ ^ [Xx: $i] : ( SY52 @ Xx ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(16,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(17,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(18,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(19,plain,
( ( ! [SY69: $i > $o] :
( ? [SY71: $i] :
( ( SY69 @ SY71 )
& ! [SY72: $i] :
( ( SY69 @ SY72 )
=> ( SY71 = SY72 ) ) )
=> ? [Xx: $i] :
( ( SY69 @ Xx )
& ! [Xy: $i] :
( ( SY69 @ Xy )
=> ( Xx = Xy ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(20,plain,
( ( ! [Xphi: $o,Xx: $i] :
( ( in @ Xx @ ( prop2set @ Xphi ) )
=> Xphi ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(21,plain,
( ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(22,plain,
( ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> $false ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(23,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(24,plain,
( ( ! [SY81: $i > $o] :
( ? [SY83: $i] :
( ( SY81 @ SY83 )
& ! [SY84: $i] :
( ( SY81 @ SY84 )
=> ( SY83 = SY84 ) ) )
=> ? [Xx: $i] : ( SY81 @ Xx ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(25,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( A = B ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(26,plain,
( ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(27,plain,
( ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(28,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(29,plain,
( ( ! [SY98: $i] :
( ( SY98 != emptyset )
=> ? [Xx: $i] : ( in @ Xx @ SY98 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(30,plain,
( ( ! [SY100: $i,SY101: $i > $o,SY102: $i] :
( ( in @ SY102 @ SY100 )
=> ( ( SY101 @ SY102 )
=> ( ( dsetconstr @ SY100
@ ^ [Xy: $i] : ( SY101 @ Xy ) )
!= emptyset ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(31,plain,
( ( ! [SY104: $i] :
( ? [Xx: $i] : ( in @ Xx @ SY104 )
=> ( SY104 != emptyset ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(32,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(33,plain,
( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(34,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ A )
=> ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(35,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ! [Xphi: $o] :
( ( ( Xy = Xx )
=> Xphi )
=> ( ( ( in @ Xy @ A )
=> Xphi )
=> Xphi ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(36,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ( ( Xy = Xx )
| ( in @ Xy @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(37,plain,
( ( ! [A: $i] :
( ( dsetconstr @ A
@ ^ [Xx: $i] : $true )
= A ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(38,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(39,plain,
( ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(40,plain,
( ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(41,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(42,plain,
( ( ! [A: $i,Xx: $i,B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> ( in @ Xx @ ( setunion @ A ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(43,plain,
( ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ! [Xphi: $o] :
( ! [B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> Xphi ) )
=> Xphi ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(44,plain,
( ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(45,plain,
( ( ! [SY137: $i > $o] :
( ? [SY139: $i] :
( ( SY137 @ SY139 )
& ! [SY140: $i] :
( ( SY137 @ SY140 )
=> ( SY139 = SY140 ) ) )
=> ? [Xx: $i] :
! [Xy: $i] :
( ( SY137 @ Xy )
<=> ( Xy = Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(46,plain,
( ( ! [SY143: $i] :
( ( SY143 != emptyset )
=> ? [Xx: $i] :
( ( in @ Xx @ SY143 )
& $true ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(47,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(48,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
=> ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(49,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(50,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(51,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ( Xz = Xx )
| ( Xz = Xy ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(52,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(53,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(54,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ( ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= emptyset )
=> $false ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(55,plain,
( ( ! [Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ emptyset )
=> ( Xphi @ Xx ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(56,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(57,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) )
=> ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(58,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(59,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) )
=> ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(60,plain,
( ( ! [Xphi: $o] :
( Xphi
=> ( in @ emptyset @ ( prop2set @ Xphi ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(61,plain,
( ( ! [Xphi: $o] :
( Xphi
=> ( set2prop @ ( prop2set @ Xphi ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(62,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(63,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(64,plain,
( ( ! [SY192: $i > $o] :
( ? [Xx: $i] :
( ( SY192 @ Xx )
& ! [Xy: $i] :
( ( SY192 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY196: $i] :
( ( SY192 @ SY196 )
& ! [SY197: $i] :
( ( SY192 @ SY197 )
=> ( SY196 = SY197 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(65,plain,
( ( ! [SY198: $i > $o] :
( ? [Xx: $i] : ( SY198 @ Xx )
=> ( ! [Xx: $i,Xy: $i] :
( ( SY198 @ Xx )
=> ( ( SY198 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY203: $i] :
( ( SY198 @ SY203 )
& ! [SY204: $i] :
( ( SY198 @ SY204 )
=> ( SY203 = SY204 ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(66,plain,
( ( ! [SY205: $i > $o] :
( ? [Xx: $i] :
! [Xy: $i] :
( ( SY205 @ Xy )
<=> ( Xy = Xx ) )
=> ? [SY209: $i] :
( ( SY205 @ SY209 )
& ! [SY210: $i] :
( ( SY205 @ SY210 )
=> ( SY209 = SY210 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(67,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
=> ( in @ Xy @ B ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(68,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(69,plain,
( ( ! [SY219: $i > $o] :
( ? [SY221: $i] :
( ( SY219 @ SY221 )
& ! [SY222: $i] :
( ( SY219 @ SY222 )
=> ( SY221 = SY222 ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( SY219 @ Xx )
=> ( ( SY219 @ Xy )
=> ( Xx = Xy ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(70,plain,
( ( ! [SY225: $i > $o,SY226: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( SY225 @ Xx )
<=> ( SY226 @ Xy ) ) )
=> ( ? [SY230: $i] :
( ( SY225 @ SY230 )
& ! [SY231: $i] :
( ( SY225 @ SY231 )
=> ( SY230 = SY231 ) ) )
<=> ? [SY233: $i] :
( ( SY226 @ SY233 )
& ! [SY234: $i] :
( ( SY226 @ SY234 )
=> ( SY233 = SY234 ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(71,plain,
( ( emptyset = emptyset )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(72,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ! [Xz: $i,Xu: $i] :
( ( Xz = Xu )
=> ( ( setadjoin @ Xx @ Xz )
= ( setadjoin @ Xy @ Xu ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( powerset @ A )
= ( powerset @ B ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(74,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( setunion @ A )
= ( setunion @ B ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(75,plain,
( ( omega = omega )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(76,plain,
( ( ! [SY243: $i > $o] :
( ? [SY245: $i] :
( ( SY243 @ SY245 )
& ! [SY246: $i] :
( ( SY243 @ SY246 )
=> ( SY245 = SY246 ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( SY243 @ Xx )
=> ( ( SY243 @ Xy )
=> ( Xx = Xy ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(77,plain,
( ( ! [SY249: $i > $o,SY250: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( SY249 @ Xx )
<=> ( SY250 @ Xy ) ) )
=> ( ? [SY254: $i] :
( ( SY249 @ SY254 )
& ! [SY255: $i] :
( ( SY249 @ SY255 )
=> ( SY254 = SY255 ) ) )
=> ( ? [SY257: $i] :
( ( SY250 @ SY257 )
& ! [SY258: $i] :
( ( SY250 @ SY258 )
=> ( SY257 = SY258 ) ) )
=> ( ( descr
@ ^ [Xx: $i] : ( SY249 @ Xx ) )
= ( descr
@ ^ [Xx: $i] : ( SY250 @ Xx ) ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(78,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xphi: $i > $o,Xpsi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( Xx = Xy )
=> ( ( Xphi @ Xx )
<=> ( Xpsi @ Xy ) ) ) ) )
=> ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= ( dsetconstr @ B
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(79,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(80,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ B @ A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(81,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ A @ B ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(83,plain,
( ( ! [A: $i] : ( subset @ emptyset @ A ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(84,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(85,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ~ ( in @ Xx @ B )
=> ~ ( in @ Xx @ A ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(86,plain,
( ( ~ ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ~ ( in @ Xx @ B )
=> ~ ( in @ Xx @ A ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[85]) ).
thf(87,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(88,plain,
( ( ! [A: $i] : ( subset @ emptyset @ A ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(89,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(90,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(91,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(92,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(93,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xphi: $i > $o,Xpsi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( Xx = Xy )
=> ( ( Xphi @ Xx )
<=> ( Xpsi @ Xy ) ) ) ) )
=> ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= ( dsetconstr @ B
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(94,plain,
( ( ! [SY249: $i > $o,SY250: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( SY249 @ Xx )
<=> ( SY250 @ Xy ) ) )
=> ( ? [SY254: $i] :
( ( SY249 @ SY254 )
& ! [SY255: $i] :
( ( SY249 @ SY255 )
=> ( SY254 = SY255 ) ) )
=> ( ? [SY257: $i] :
( ( SY250 @ SY257 )
& ! [SY258: $i] :
( ( SY250 @ SY258 )
=> ( SY257 = SY258 ) ) )
=> ( ( descr
@ ^ [Xx: $i] : ( SY249 @ Xx ) )
= ( descr
@ ^ [Xx: $i] : ( SY250 @ Xx ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(95,plain,
( ( ! [SY243: $i > $o] :
( ? [SY245: $i] :
( ( SY243 @ SY245 )
& ! [SY246: $i] :
( ( SY243 @ SY246 )
=> ( SY245 = SY246 ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( SY243 @ Xx )
=> ( ( SY243 @ Xy )
=> ( Xx = Xy ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(96,plain,
( ( omega = omega )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(97,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( setunion @ A )
= ( setunion @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(98,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( powerset @ A )
= ( powerset @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(99,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ! [Xz: $i,Xu: $i] :
( ( Xz = Xu )
=> ( ( setadjoin @ Xx @ Xz )
= ( setadjoin @ Xy @ Xu ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(100,plain,
( ( emptyset = emptyset )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(101,plain,
( ( ! [SY225: $i > $o,SY226: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( SY225 @ Xx )
<=> ( SY226 @ Xy ) ) )
=> ( ? [SY230: $i] :
( ( SY225 @ SY230 )
& ! [SY231: $i] :
( ( SY225 @ SY231 )
=> ( SY230 = SY231 ) ) )
<=> ? [SY233: $i] :
( ( SY226 @ SY233 )
& ! [SY234: $i] :
( ( SY226 @ SY234 )
=> ( SY233 = SY234 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(102,plain,
( ( ! [SY219: $i > $o] :
( ? [SY221: $i] :
( ( SY219 @ SY221 )
& ! [SY222: $i] :
( ( SY219 @ SY222 )
=> ( SY221 = SY222 ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( SY219 @ Xx )
=> ( ( SY219 @ Xy )
=> ( Xx = Xy ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(103,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(104,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
=> ( in @ Xy @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(105,plain,
( ( ! [SY205: $i > $o] :
( ? [Xx: $i] :
! [Xy: $i] :
( ( SY205 @ Xy )
<=> ( Xy = Xx ) )
=> ? [SY209: $i] :
( ( SY205 @ SY209 )
& ! [SY210: $i] :
( ( SY205 @ SY210 )
=> ( SY209 = SY210 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(106,plain,
( ( ! [SY198: $i > $o] :
( ? [Xx: $i] : ( SY198 @ Xx )
=> ( ! [Xx: $i,Xy: $i] :
( ( SY198 @ Xx )
=> ( ( SY198 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY203: $i] :
( ( SY198 @ SY203 )
& ! [SY204: $i] :
( ( SY198 @ SY204 )
=> ( SY203 = SY204 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(107,plain,
( ( ! [SY192: $i > $o] :
( ? [Xx: $i] :
( ( SY192 @ Xx )
& ! [Xy: $i] :
( ( SY192 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY196: $i] :
( ( SY192 @ SY196 )
& ! [SY197: $i] :
( ( SY192 @ SY197 )
=> ( SY196 = SY197 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(108,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(109,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(110,plain,
( ( ! [Xphi: $o] :
( Xphi
=> ( set2prop @ ( prop2set @ Xphi ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(111,plain,
( ( ! [Xphi: $o] :
( Xphi
=> ( in @ emptyset @ ( prop2set @ Xphi ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(112,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) )
=> ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(113,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(114,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) )
=> ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(115,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(116,plain,
( ( ! [Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ emptyset )
=> ( Xphi @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(117,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ( ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= emptyset )
=> $false ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(118,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(119,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(120,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ( Xz = Xx )
| ( Xz = Xy ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(121,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(122,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(123,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
=> ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(124,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(125,plain,
( ( ! [SY143: $i] :
( ( SY143 != emptyset )
=> ? [Xx: $i] :
( ( in @ Xx @ SY143 )
& $true ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(126,plain,
( ( ! [SY137: $i > $o] :
( ? [SY139: $i] :
( ( SY137 @ SY139 )
& ! [SY140: $i] :
( ( SY137 @ SY140 )
=> ( SY139 = SY140 ) ) )
=> ? [Xx: $i] :
! [Xy: $i] :
( ( SY137 @ Xy )
<=> ( Xy = Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(127,plain,
( ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(128,plain,
( ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ! [Xphi: $o] :
( ! [B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> Xphi ) )
=> Xphi ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(129,plain,
( ( ! [A: $i,Xx: $i,B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> ( in @ Xx @ ( setunion @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(130,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(131,plain,
( ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(132,plain,
( ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(133,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(134,plain,
( ( ! [A: $i] :
( ( dsetconstr @ A
@ ^ [Xx: $i] : $true )
= A ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(135,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ( ( Xy = Xx )
| ( in @ Xy @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(136,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ! [Xphi: $o] :
( ( ( Xy = Xx )
=> Xphi )
=> ( ( ( in @ Xy @ A )
=> Xphi )
=> Xphi ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(137,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ A )
=> ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(138,plain,
( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(139,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(140,plain,
( ( ! [SY104: $i] :
( ? [Xx: $i] : ( in @ Xx @ SY104 )
=> ( SY104 != emptyset ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(141,plain,
( ( ! [SY100: $i,SY101: $i > $o,SY102: $i] :
( ( in @ SY102 @ SY100 )
=> ( ( SY101 @ SY102 )
=> ( ( dsetconstr @ SY100
@ ^ [Xy: $i] : ( SY101 @ Xy ) )
!= emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(142,plain,
( ( ! [SY98: $i] :
( ( SY98 != emptyset )
=> ? [Xx: $i] : ( in @ Xx @ SY98 ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(143,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(144,plain,
( ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(145,plain,
( ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(146,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(147,plain,
( ( ! [SY81: $i > $o] :
( ? [SY83: $i] :
( ( SY81 @ SY83 )
& ! [SY84: $i] :
( ( SY81 @ SY84 )
=> ( SY83 = SY84 ) ) )
=> ? [Xx: $i] : ( SY81 @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(148,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(149,plain,
( ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> $false ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(150,plain,
( ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(151,plain,
( ( ! [Xphi: $o,Xx: $i] :
( ( in @ Xx @ ( prop2set @ Xphi ) )
=> Xphi ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(152,plain,
( ( ! [SY69: $i > $o] :
( ? [SY71: $i] :
( ( SY69 @ SY71 )
& ! [SY72: $i] :
( ( SY69 @ SY72 )
=> ( SY71 = SY72 ) ) )
=> ? [Xx: $i] :
( ( SY69 @ Xx )
& ! [Xy: $i] :
( ( SY69 @ Xy )
=> ( Xx = Xy ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(153,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(154,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(155,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(156,plain,
( ( ! [SY52: $i > $o] :
( ? [SY54: $i] :
( ( SY52 @ SY54 )
& ! [SY55: $i] :
( ( SY52 @ SY55 )
=> ( SY54 = SY55 ) ) )
=> ( SY52
@ ( descr
@ ^ [Xx: $i] : ( SY52 @ Xx ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(157,plain,
( ( ! [A: $i] :
? [B: $i] :
( ! [C: $i] :
( ( in @ C @ B )
=> ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ A ) ) )
& ! [Xx: $i,Xy: $i] :
( ( ( in @ Xx @ A )
& ( in @ Xy @ A ) )
=> ( ! [C: $i] :
( ( in @ C @ B )
=> ( ( in @ Xx @ C )
<=> ( in @ Xy @ C ) ) )
=> ( Xx = Xy ) ) )
& ! [C: $i,D: $i] :
( ( ( in @ C @ B )
& ( in @ D @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ D ) )
| ! [Xx: $i] :
( ( in @ Xx @ D )
=> ( in @ Xx @ C ) ) ) )
& ! [C: $i] :
( ( ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ A ) )
& ? [Xx: $i] : ( in @ Xx @ C ) )
=> ? [D: $i,Xx: $i] :
( ( in @ D @ B )
& ( in @ Xx @ C )
& ~ ? [Xy: $i] :
( ( in @ Xy @ D )
& ( in @ Xy @ C ) )
& ! [E: $i] :
( ( in @ E @ B )
=> ( ! [Xy: $i] :
( ( in @ Xy @ E )
=> ( in @ Xy @ D ) )
| ( in @ Xx @ E ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(158,plain,
( ( ! [A: $i] :
( ? [Xx: $i] : ( in @ Xx @ A )
=> ? [B: $i] :
( ( in @ B @ A )
& ~ ? [Xx: $i] :
( ( in @ Xx @ B )
& ( in @ Xx @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(159,plain,
( ( ! [SY20: $i > $i > $o,SY21: $i] :
( ! [SY22: $i] :
( ( in @ SY22 @ SY21 )
=> ? [SY24: $i] :
( ( SY20 @ SY22 @ SY24 )
& ! [SY25: $i] :
( ( SY20 @ SY22 @ SY25 )
=> ( SY24 = SY25 ) ) ) )
=> ? [B: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
<=> ? [Xy: $i] :
( ( in @ Xy @ SY21 )
& ( SY20 @ Xy @ Xx ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(160,plain,
( ( ! [A: $i] :
( ( ( in @ emptyset @ A )
& ! [Xx: $i] :
( ( ( in @ Xx @ omega )
& ( in @ Xx @ A ) )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
=> ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ Xx @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(161,plain,
( ( ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(162,plain,
( ( in @ emptyset @ omega )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(163,plain,
( ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
<=> ? [B: $i] :
( ( in @ Xx @ B )
& ( in @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(164,plain,
( ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
<=> ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(165,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
<=> ( ( Xy = Xx )
| ( in @ Xy @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(166,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(167,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
<=> ( in @ Xx @ B ) )
=> ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(168,plain,
( ( ~ ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ~ ( in @ Xx @ B )
=> ~ ( in @ Xx @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(169,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SX0 )
| ~ ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(170,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| $false ) )
= $true ),
inference(unfold_def,[status(thm)],[149,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(171,plain,
( ( ! [SX0: $i > $o] :
( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) )
| ! [SX1: $i,SX2: $i] :
( ~ ( SX0 @ SX1 )
| ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(172,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 ) )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(173,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ! [SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ( ( setadjoin @ SX0 @ SX2 )
= ( setadjoin @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(174,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( in @ SX1 @ ( setunion @ SX0 ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX1 @ SX2 )
| ~ ( in @ SX2 @ SX0 ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX1 @ SX2 )
| ~ ( in @ SX2 @ SX0 ) )
| ( in @ SX1 @ ( setunion @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(175,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( ( setunion @ SX0 )
= ( setunion @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(176,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(177,plain,
( ( ! [SX0: $i > $o] :
( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) )
| ~ ! [SX1: $i] :
~ ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(178,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( in @ SX1 @ ( setadjoin @ SX0 @ emptyset ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(179,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SX0 )
| ~ ~ ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(180,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(181,plain,
( ( ! [SX0: $i] :
( ~ ~ ! [SX1: $i] :
~ ( in @ SX1 @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SX1 )
| ~ ( in @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(182,plain,
( ( ! [SX0: $o,SX1: $i] :
( ~ ( in @ SX1 @ ( prop2set @ SX0 ) )
| SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[151,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(183,plain,
( ( ! [SX0: $i,SX1: $i > $o,SX2: $i] :
( ~ ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] : ( SX1 @ SX3 ) ) )
| ( in @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(184,plain,
( ( ! [SX0: $i > $o,SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(185,plain,
( ( ! [SX0: $i,SX1: $i > $o,SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 )
| ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] : ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(186,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( in @ SX2 @ ( setadjoin @ SX0 @ SX1 ) )
| ( SX2 = SX0 )
| ( in @ SX2 @ SX1 ) )
| ~ ( ~ ( ( SX2 = SX0 )
| ( in @ SX2 @ SX1 ) )
| ( in @ SX2 @ ( setadjoin @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(187,plain,
( ( ! [SX0: $o] :
( ~ SX0
| ( set2prop @ ( prop2set @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(188,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(189,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ SX0 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(190,plain,
( ( ! [SX0: $i > $o] :
( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(191,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( ( powerset @ SX0 )
= ( powerset @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(192,plain,
( ( ! [SX0: $i > $o] :
( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) )
| ( SX0
@ ( descr
@ ^ [SX1: $i] : ( SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(193,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i] :
~ ( ~ ( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) )
| ~ ( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ SX0 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(194,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(195,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ! [SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ~ ( ~ ( ~ ( SX0 @ SX2 )
| ( SX1 @ SX3 ) )
| ~ ( ~ ( SX1 @ SX3 )
| ( SX0 @ SX2 ) ) ) )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( SX0 @ SX3 )
| ( SX2 = SX3 ) ) )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( SX1 @ SX3 )
| ( SX2 = SX3 ) ) )
| ( ( descr
@ ^ [SX2: $i] : ( SX0 @ SX2 ) )
= ( descr
@ ^ [SX2: $i] : ( SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(196,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ ( setunion @ SX0 ) )
| ! [SX2: $o] :
( ~ ! [SX3: $i] :
( ~ ( in @ SX1 @ SX3 )
| ~ ( in @ SX3 @ SX0 )
| SX2 )
| SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(197,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ! [SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ~ ( ~ ( ~ ( SX0 @ SX2 )
| ( SX1 @ SX3 ) )
| ~ ( ~ ( SX1 @ SX3 )
| ( SX0 @ SX2 ) ) ) )
| ~ ( ~ ( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( SX0 @ SX3 )
| ( SX2 = SX3 ) ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( SX1 @ SX3 )
| ( SX2 = SX3 ) ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( SX1 @ SX3 )
| ( SX2 = SX3 ) ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( SX0 @ SX3 )
| ( SX2 = SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(198,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( in @ SX1 @ ( powerset @ SX0 ) )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ SX0 ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ SX0 ) )
| ( in @ SX1 @ ( powerset @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(199,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(200,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ SX0 ) )
| ( in @ SX1 @ ( powerset @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(201,plain,
( ( ! [SX0: $o] :
( ~ SX0
| ( in @ emptyset @ ( prop2set @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(202,plain,
( ( ! [SX0: $i > $o] :
( ~ ~ ! [SX1: $i] :
~ ( SX0 @ SX1 )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( SX0 @ SX1 )
| ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(203,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX1 @ ( powerset @ SX0 ) )
| ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(204,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SX0 )
| ~ ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(205,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX1 @ SX2 )
| ~ ( in @ SX2 @ SX0 )
| ( in @ SX1 @ ( setunion @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(206,plain,
( ( ! [SX0: $i > $o] :
( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) )
| ~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ( ~ ( ~ ( SX0 @ SX2 )
| ( SX2 = SX1 ) )
| ~ ( ( SX2 != SX1 )
| ( SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(207,plain,
( ( ! [SX0: $i,SX1: $i > $o,SX2: $i] :
( ~ ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] : ( SX1 @ SX3 ) ) )
| ( SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(208,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX2 @ ( setadjoin @ SX0 @ SX1 ) )
| ! [SX3: $o] :
( ~ ( ( SX2 != SX0 )
| SX3 )
| ~ ( ~ ( in @ SX2 @ SX1 )
| SX3 )
| SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(209,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(210,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ! [SX2: $i > $o,SX3: $i > $o] :
( ~ ! [SX4: $i] :
( ~ ( in @ SX4 @ SX0 )
| ! [SX5: $i] :
( ~ ( in @ SX5 @ SX1 )
| ( SX4 != SX5 )
| ~ ( ~ ( ~ ( SX2 @ SX4 )
| ( SX3 @ SX5 ) )
| ~ ( ~ ( SX3 @ SX5 )
| ( SX2 @ SX4 ) ) ) ) )
| ( ( dsetconstr @ SX0
@ ^ [SX4: $i] : ( SX2 @ SX4 ) )
= ( dsetconstr @ SX1
@ ^ [SX4: $i] : ( SX3 @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(211,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX2 @ ( setadjoin @ SX0 @ ( setadjoin @ SX1 @ emptyset ) ) )
| ( SX2 = SX0 )
| ( SX2 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(212,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ( in @ SX1 @ ( powerset @ ( setunion @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(213,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(214,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SX2 )
| ( in @ SX3 @ SX0 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( in @ SX2 @ SX0 )
| ~ ( in @ SX3 @ SX0 ) )
| ~ ! [SX4: $i] :
( ~ ( in @ SX4 @ SX1 )
| ~ ( ~ ( ~ ( in @ SX2 @ SX4 )
| ( in @ SX3 @ SX4 ) )
| ~ ( ~ ( in @ SX3 @ SX4 )
| ( in @ SX2 @ SX4 ) ) ) )
| ( SX2 = SX3 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( in @ SX2 @ SX1 )
| ~ ( in @ SX3 @ SX1 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SX2 )
| ( in @ SX4 @ SX3 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SX3 )
| ( in @ SX4 @ SX2 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX2 )
| ( in @ SX3 @ SX0 ) )
| ~ ~ ! [SX3: $i] :
~ ( in @ SX3 @ SX2 ) )
| ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SX3 @ SX1 )
| ~ ( in @ SX4 @ SX2 ) )
| ~ ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( in @ SX5 @ SX3 )
| ~ ( in @ SX5 @ SX2 ) ) )
| ~ ! [SX5: $i] :
( ~ ( in @ SX5 @ SX1 )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SX5 )
| ( in @ SX6 @ SX3 ) )
| ( in @ SX4 @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(215,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ ( setadjoin @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(216,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
~ ( in @ SX1 @ SX0 )
| ( SX0 = emptyset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(217,plain,
( ( ! [SX0: $i] :
( ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(218,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ omega )
| ( in @ ( setadjoin @ SX0 @ SX0 ) @ omega ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(219,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $o] : SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[150,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(220,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 ) )
| ( ( dsetconstr @ SX0
@ ^ [SX2: $i] : ( SX1 @ SX2 ) )
!= emptyset )
| $false ) )
= $true ),
inference(unfold_def,[status(thm)],[117,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(221,plain,
( ( ! [SX0: $i,SX1: $i > $o,SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( ~ ( ~ ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] : ( SX1 @ SX3 ) ) )
| ( SX1 @ SX2 ) )
| ~ ( ~ ( SX1 @ SX2 )
| ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] : ( SX1 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(222,plain,
( ( ! [SX0: $i] :
( ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(223,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX2 @ ( setadjoin @ SX0 @ SX1 ) )
| ( SX2 = SX0 )
| ( in @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(224,plain,
( ( ! [SX0: $i > $o] :
( ~ ~ ! [SX1: $i] :
~ ! [SX2: $i] :
~ ( ~ ( ~ ( SX0 @ SX2 )
| ( SX2 = SX1 ) )
| ~ ( ( SX2 != SX1 )
| ( SX0 @ SX2 ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(225,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( in @ SX0 @ ( setadjoin @ SX1 @ emptyset ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(226,plain,
( ( ! [SX0: $i > $i > $o,SX1: $i] :
( ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( SX0 @ SX2 @ SX3 )
| ~ ! [SX4: $i] :
( ~ ( SX0 @ SX2 @ SX4 )
| ( SX3 = SX4 ) ) ) )
| ~ ! [SX2: $i] :
~ ! [SX3: $i] :
~ ( ~ ( ~ ( in @ SX3 @ SX2 )
| ~ ! [SX4: $i] :
~ ~ ( ~ ( in @ SX4 @ SX1 )
| ~ ( SX0 @ SX4 @ SX3 ) ) )
| ~ ( ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( in @ SX4 @ SX1 )
| ~ ( SX0 @ SX4 @ SX3 ) )
| ( in @ SX3 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(227,plain,
( ( ! [SX0: $i] :
( ~ ~ ! [SX1: $i] :
~ ( in @ SX1 @ SX0 )
| ( SX0 != emptyset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(228,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX0 @ ( setadjoin @ SX1 @ emptyset ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(229,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( in @ emptyset @ SX0 )
| ~ ! [SX1: $i] :
( ~ ~ ( ~ ( in @ SX1 @ omega )
| ~ ( in @ SX1 @ SX0 ) )
| ( in @ ( setadjoin @ SX1 @ SX1 ) @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ omega )
| ( in @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(230,plain,
( ( ! [SX0: $i > $o] :
( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(231,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ~ ( in @ SX2 @ SX1 )
| ~ ( in @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(232,plain,
( ( ! [SX0: $i,SX1: $i > $o,SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 )
| ( ( dsetconstr @ SX0
@ ^ [SX3: $i] : ( SX1 @ SX3 ) )
!= emptyset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(233,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX0 @ ( setadjoin @ SX1 @ emptyset ) )
| ( in @ SX1 @ ( setadjoin @ SX0 @ emptyset ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(234,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
~ ( in @ SX1 @ SX0 )
| ( SX0 = emptyset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(235,plain,
( ( ! [SX0: $i > $o] :
( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) )
| ! [SX1: $i,SX2: $i] :
( ~ ( SX0 @ SX1 )
| ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(236,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ! [SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ~ ( ~ ( ~ ( in @ SX2 @ SX0 )
| ( in @ SX3 @ SX1 ) )
| ~ ( ~ ( in @ SX3 @ SX1 )
| ( in @ SX2 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(237,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ! [SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ~ ( in @ SX2 @ SX0 )
| ( in @ SX3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetI1,subsetI2,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(238,plain,
! [SV1: $i] :
( ( subset @ emptyset @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(239,plain,
! [SV2: $i] :
( ( ! [SY555: $i] : ( in @ SY555 @ ( setadjoin @ SV2 @ ( setadjoin @ SY555 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(240,plain,
! [SV3: $i] :
( ( ! [SY556: $i] : ( in @ SV3 @ ( setadjoin @ SV3 @ ( setadjoin @ SY556 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(241,plain,
! [SV4: $i] :
( ( in @ emptyset @ ( powerset @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(242,plain,
! [SV5: $i] :
( ( in @ emptyset @ ( powerset @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(243,plain,
! [SV6: $i] :
( ( ( dsetconstr @ SV6
@ ^ [Xx: $i] : $true )
= SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(244,plain,
! [SV7: $i] :
( ( ! [SY558: $i] : ( in @ SV7 @ ( setadjoin @ SV7 @ SY558 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(245,plain,
! [SV8: $i] :
( ( ~ ( in @ SV8 @ emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(246,plain,
! [SV9: $i] :
( ( ~ ( in @ SV9 @ emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(247,plain,
! [SV10: $i] :
( ( ! [SY559: $i > $o] :
( ~ ~ ! [SY560: $i] :
( ~ ( in @ SY560 @ SV10 )
| ( SY559 @ SY560 ) )
| ~ ! [SY561: $i] :
~ ~ ( ~ ( in @ SY561 @ SV10 )
| ~ ~ ( SY559 @ SY561 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(248,plain,
! [SV11: $i] :
( ( ~ ( in @ SV11 @ emptyset )
| $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(249,plain,
! [SV12: $i > $o] :
( ( ~ ~ ! [SY562: $i] :
~ ~ ( ~ ( SV12 @ SY562 )
| ~ ! [SY563: $i] :
( ~ ( SV12 @ SY563 )
| ( SY562 = SY563 ) ) )
| ! [SY564: $i,SY565: $i] :
( ~ ( SV12 @ SY564 )
| ~ ( SV12 @ SY565 )
| ( SY564 = SY565 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(250,plain,
! [SV13: $i] :
( ( ! [SY566: $i > $o] :
( ~ ! [SY567: $i] :
( ~ ( in @ SY567 @ SV13 )
| ~ ( SY566 @ SY567 ) )
| ~ ~ ! [SY568: $i] :
~ ~ ( ~ ( in @ SY568 @ SV13 )
| ~ ( SY566 @ SY568 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(251,plain,
! [SV14: $i] :
( ( ! [SY569: $i] :
( ( SV14 != SY569 )
| ! [SY570: $i,SY571: $i] :
( ( SY570 != SY571 )
| ( ( setadjoin @ SV14 @ SY570 )
= ( setadjoin @ SY569 @ SY571 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(252,plain,
! [SV15: $i] :
( ( ! [SY572: $i] :
~ ( ~ ( ~ ( in @ SY572 @ ( setunion @ SV15 ) )
| ~ ! [SY573: $i] :
~ ~ ( ~ ( in @ SY572 @ SY573 )
| ~ ( in @ SY573 @ SV15 ) ) )
| ~ ( ~ ~ ! [SY574: $i] :
~ ~ ( ~ ( in @ SY572 @ SY574 )
| ~ ( in @ SY574 @ SV15 ) )
| ( in @ SY572 @ ( setunion @ SV15 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(253,plain,
! [SV16: $i] :
( ( ! [SY575: $i] :
( ( SV16 != SY575 )
| ( ( setunion @ SV16 )
= ( setunion @ SY575 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(254,plain,
! [SV17: $i] :
( ( ! [SY576: $i] :
( ( SV17 != SY576 )
| ( subset @ SY576 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(255,plain,
! [SV18: $i > $o] :
( ( ~ ~ ! [SY577: $i] :
~ ~ ( ~ ( SV18 @ SY577 )
| ~ ! [SY578: $i] :
( ~ ( SV18 @ SY578 )
| ( SY577 = SY578 ) ) )
| ~ ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(256,plain,
! [SV19: $i] :
( ( ! [SY580: $i] :
( ~ ( ( SV19 != SY580 ) )
| ~ ( in @ SY580 @ ( setadjoin @ SV19 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(257,plain,
! [SV20: $i] :
( ( ! [SY581: $i > $o] :
( ~ ~ ! [SY582: $i] :
~ ~ ( ~ ( in @ SY582 @ SV20 )
| ~ ~ ( SY581 @ SY582 ) )
| ~ ! [SY583: $i] :
( ~ ( in @ SY583 @ SV20 )
| ( SY581 @ SY583 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(258,plain,
! [SV21: $i] :
( ( ! [SY584: $i > $o] :
( ~ ~ ~ ! [SY585: $i] :
~ ~ ( ~ ( in @ SY585 @ SV21 )
| ~ ( SY584 @ SY585 ) )
| ! [SY586: $i] :
( ~ ( in @ SY586 @ SV21 )
| ~ ( SY584 @ SY586 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(259,plain,
! [SV22: $i] :
( ( ~ ~ ! [SY587: $i] :
~ ( in @ SY587 @ SV22 )
| ~ ! [SY588: $i] :
~ ~ ( ~ ( in @ SY588 @ SV22 )
| ~ ~ ~ ! [SY589: $i] :
~ ~ ( ~ ( in @ SY589 @ SY588 )
| ~ ( in @ SY589 @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(260,plain,
! [SV23: $o] :
( ( ! [SY590: $i] :
( ~ ( in @ SY590 @ ( prop2set @ SV23 ) )
| SV23 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[182]) ).
thf(261,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( prop2set @ $true ) )
| $true ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[182]) ).
thf(262,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( prop2set @ $false ) )
| $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[182]) ).
thf(263,plain,
! [SV24: $i] :
( ( ! [SY591: $i > $o,SY592: $i] :
( ~ ( in @ SY592
@ ( dsetconstr @ SV24
@ ^ [SX3: $i] : ( SY591 @ SX3 ) ) )
| ( in @ SY592 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(264,plain,
! [SV25: $i > $o] :
( ( ! [SY594: $i] :
( ~ ( in @ SY594 @ emptyset )
| ( SV25 @ SY594 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(265,plain,
! [SV26: $i] :
( ( ! [SY595: $i > $o,SY596: $i] :
( ~ ( in @ SY596 @ SV26 )
| ~ ( SY595 @ SY596 )
| ( in @ SY596
@ ( dsetconstr @ SV26
@ ^ [SX3: $i] : ( SY595 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(266,plain,
! [SV27: $i] :
( ( ! [SY598: $i,SY599: $i] :
~ ( ~ ( ~ ( in @ SY599 @ ( setadjoin @ SV27 @ SY598 ) )
| ( SY599 = SV27 )
| ( in @ SY599 @ SY598 ) )
| ~ ( ~ ( ( SY599 = SV27 )
| ( in @ SY599 @ SY598 ) )
| ( in @ SY599 @ ( setadjoin @ SV27 @ SY598 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(267,plain,
! [SV28: $o] :
( ( ~ SV28
| ( set2prop @ ( prop2set @ SV28 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[187]) ).
thf(268,plain,
( ( ~ $true
| ( set2prop @ ( prop2set @ $true ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[187]) ).
thf(269,plain,
( ( ~ $false
| ( set2prop @ ( prop2set @ $false ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[187]) ).
thf(270,plain,
! [SV29: $i] :
( ( ! [SY600: $i] :
( ( SV29 != SY600 )
| ( subset @ SV29 @ SY600 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(271,plain,
! [SV30: $i] :
( ( ! [SY601: $i] :
( ~ ! [SY602: $i] :
( ~ ( in @ SY602 @ SV30 )
| ( in @ SY602 @ SY601 ) )
| ~ ! [SY603: $i] :
( ~ ( in @ SY603 @ SY601 )
| ( in @ SY603 @ SV30 ) )
| ( SV30 = SY601 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(272,plain,
! [SV31: $i > $o] :
( ( ~ ~ ! [SY604: $i] :
~ ~ ( ~ ( SV31 @ SY604 )
| ~ ! [SY605: $i] :
( ~ ( SV31 @ SY605 )
| ( SY604 = SY605 ) ) )
| ~ ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(273,plain,
! [SV32: $i] :
( ( ! [SY608: $i] :
( ( SV32 != SY608 )
| ( ( powerset @ SV32 )
= ( powerset @ SY608 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(274,plain,
! [SV33: $i > $o] :
( ( ~ ~ ! [SY609: $i] :
~ ~ ( ~ ( SV33 @ SY609 )
| ~ ! [SY610: $i] :
( ~ ( SV33 @ SY610 )
| ( SY609 = SY610 ) ) )
| ( SV33
@ ( descr
@ ^ [SY611: $i] : ( SV33 @ SY611 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(275,plain,
! [SV34: $i] :
( ( ! [SY612: $i] :
( ~ ! [SY613: $i] :
~ ( ~ ( ~ ( in @ SY613 @ SV34 )
| ( in @ SY613 @ SY612 ) )
| ~ ( ~ ( in @ SY613 @ SY612 )
| ( in @ SY613 @ SV34 ) ) )
| ( SV34 = SY612 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(276,plain,
! [SV35: $i] :
( ( ! [SY614: $i > $o] :
( ~ ~ ~ ! [SY615: $i] :
~ ~ ( ~ ( in @ SY615 @ SV35 )
| ~ ( SY614 @ SY615 ) )
| ! [SY616: $i] :
( ~ ( in @ SY616 @ SV35 )
| ~ ( SY614 @ SY616 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(277,plain,
! [SV36: $i > $o] :
( ( ! [SY617: $i > $o] :
( ~ ! [SY618: $i,SY619: $i] :
( ( SY618 != SY619 )
| ~ ( ~ ( ~ ( SV36 @ SY618 )
| ( SY617 @ SY619 ) )
| ~ ( ~ ( SY617 @ SY619 )
| ( SV36 @ SY618 ) ) ) )
| ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( SY617 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( SY617 @ SX3 )
| ( SX2 = SX3 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SX2: $i] : ( SY617 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(278,plain,
! [SV37: $i] :
( ( ! [SY626: $i] :
( ~ ( in @ SY626 @ ( setunion @ SV37 ) )
| ! [SY627: $o] :
( ~ ! [SY628: $i] :
( ~ ( in @ SY626 @ SY628 )
| ~ ( in @ SY628 @ SV37 )
| SY627 )
| SY627 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(279,plain,
! [SV38: $i > $o] :
( ( ! [SY629: $i > $o] :
( ~ ! [SY630: $i,SY631: $i] :
( ( SY630 != SY631 )
| ~ ( ~ ( ~ ( SV38 @ SY630 )
| ( SY629 @ SY631 ) )
| ~ ( ~ ( SY629 @ SY631 )
| ( SV38 @ SY630 ) ) ) )
| ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( SY629 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( SY629 @ SX3 )
| ( SX2 = SX3 ) ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( SY629 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( SY629 @ SX3 )
| ( SX2 = SX3 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(280,plain,
! [SV39: $i] :
( ( ! [SY640: $i] :
~ ( ~ ( ~ ( in @ SY640 @ ( powerset @ SV39 ) )
| ! [SY641: $i] :
( ~ ( in @ SY641 @ SY640 )
| ( in @ SY641 @ SV39 ) ) )
| ~ ( ~ ! [SY642: $i] :
( ~ ( in @ SY642 @ SY640 )
| ( in @ SY642 @ SV39 ) )
| ( in @ SY640 @ ( powerset @ SV39 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(281,plain,
! [SV40: $i] :
( ( ! [SY643: $i] :
( ~ ! [SY644: $i] :
( ~ ( in @ SY644 @ SV40 )
| ( in @ SY644 @ SY643 ) )
| ( subset @ SV40 @ SY643 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(282,plain,
! [SV41: $i] :
( ( ! [SY645: $i] :
( ~ ! [SY646: $i] :
( ~ ( in @ SY646 @ SY645 )
| ( in @ SY646 @ SV41 ) )
| ( in @ SY645 @ ( powerset @ SV41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(283,plain,
! [SV42: $o] :
( ( ~ SV42
| ( in @ emptyset @ ( prop2set @ SV42 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[201]) ).
thf(284,plain,
( ( ~ $true
| ( in @ emptyset @ ( prop2set @ $true ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[201]) ).
thf(285,plain,
( ( ~ $false
| ( in @ emptyset @ ( prop2set @ $false ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[201]) ).
thf(286,plain,
! [SV43: $i > $o] :
( ( ~ ~ ! [SY647: $i] :
~ ( SV43 @ SY647 )
| ~ ! [SY648: $i,SY649: $i] :
( ~ ( SV43 @ SY648 )
| ~ ( SV43 @ SY649 )
| ( SY648 = SY649 ) )
| ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(287,plain,
! [SV44: $i] :
( ( ! [SY652: $i,SY653: $i] :
( ~ ( in @ SY652 @ ( powerset @ SV44 ) )
| ~ ( in @ SY653 @ SY652 )
| ( in @ SY653 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(288,plain,
! [SV45: $i] :
( ( ! [SY654: $i > $o] :
( ~ ~ ! [SY655: $i] :
( ~ ( in @ SY655 @ SV45 )
| ( SY654 @ SY655 ) )
| ~ ! [SY656: $i] :
~ ~ ( ~ ( in @ SY656 @ SV45 )
| ~ ~ ( SY654 @ SY656 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(289,plain,
! [SV46: $i] :
( ( ! [SY657: $i,SY658: $i] :
( ~ ( in @ SY657 @ SY658 )
| ~ ( in @ SY658 @ SV46 )
| ( in @ SY657 @ ( setunion @ SV46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(290,plain,
! [SV47: $i > $o] :
( ( ~ ~ ! [SY659: $i] :
~ ~ ( ~ ( SV47 @ SY659 )
| ~ ! [SY660: $i] :
( ~ ( SV47 @ SY660 )
| ( SY659 = SY660 ) ) )
| ~ ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(291,plain,
! [SV48: $i] :
( ( ! [SY663: $i > $o,SY664: $i] :
( ~ ( in @ SY664
@ ( dsetconstr @ SV48
@ ^ [SX3: $i] : ( SY663 @ SX3 ) ) )
| ( SY663 @ SY664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(292,plain,
! [SV49: $i] :
( ( ! [SY666: $i,SY667: $i] :
( ~ ( in @ SY667 @ ( setadjoin @ SV49 @ SY666 ) )
| ! [SY668: $o] :
( ~ ( ( SY667 != SV49 )
| SY668 )
| ~ ( ~ ( in @ SY667 @ SY666 )
| SY668 )
| SY668 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(293,plain,
! [SV50: $i] :
( ( ! [SY669: $i] :
( ~ ! [SY670: $i] :
( ~ ( in @ SY670 @ SV50 )
| ( in @ SY670 @ SY669 ) )
| ( subset @ SV50 @ SY669 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(294,plain,
! [SV51: $i] :
( ( ! [SY671: $i] :
( ( SV51 != SY671 )
| ! [SY672: $i > $o,SY673: $i > $o] :
( ~ ! [SY674: $i] :
( ~ ( in @ SY674 @ SV51 )
| ! [SX5: $i] :
( ~ ( in @ SX5 @ SY671 )
| ( SY674 != SX5 )
| ~ ( ~ ( ~ ( SY672 @ SY674 )
| ( SY673 @ SX5 ) )
| ~ ( ~ ( SY673 @ SX5 )
| ( SY672 @ SY674 ) ) ) ) )
| ( ( dsetconstr @ SV51
@ ^ [SX4: $i] : ( SY672 @ SX4 ) )
= ( dsetconstr @ SY671
@ ^ [SX4: $i] : ( SY673 @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(295,plain,
! [SV52: $i] :
( ( ! [SY678: $i,SY679: $i] :
( ~ ( in @ SY679 @ ( setadjoin @ SV52 @ ( setadjoin @ SY678 @ emptyset ) ) )
| ( SY679 = SV52 )
| ( SY679 = SY678 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(296,plain,
! [SV53: $i] :
( ( ! [SY680: $i] :
( ~ ( in @ SY680 @ SV53 )
| ( in @ SY680 @ ( powerset @ ( setunion @ SV53 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(297,plain,
! [SV54: $i] :
( ( ! [SY681: $i,SY682: $i] :
( ~ ( subset @ SV54 @ SY681 )
| ~ ( in @ SY682 @ SV54 )
| ( in @ SY682 @ SY681 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(298,plain,
! [SV55: $i] :
( ( ~ ! [SY683: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY684: $i] :
( ~ ( in @ SY684 @ SY683 )
| ! [SY685: $i] :
( ~ ( in @ SY685 @ SY684 )
| ( in @ SY685 @ SV55 ) ) )
| ~ ! [SY686: $i,SY687: $i] :
( ~ ~ ( ~ ( in @ SY686 @ SV55 )
| ~ ( in @ SY687 @ SV55 ) )
| ~ ! [SX4: $i] :
( ~ ( in @ SX4 @ SY683 )
| ~ ( ~ ( ~ ( in @ SY686 @ SX4 )
| ( in @ SY687 @ SX4 ) )
| ~ ( ~ ( in @ SY687 @ SX4 )
| ( in @ SY686 @ SX4 ) ) ) )
| ( SY686 = SY687 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( in @ SX2 @ SY683 )
| ~ ( in @ SX3 @ SY683 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SX2 )
| ( in @ SX4 @ SX3 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SX3 )
| ( in @ SX4 @ SX2 ) ) ) )
| ~ ! [SY693: $i] :
( ~ ~ ( ~ ! [SY694: $i] :
( ~ ( in @ SY694 @ SY693 )
| ( in @ SY694 @ SV55 ) )
| ~ ~ ! [SX3: $i] :
~ ( in @ SX3 @ SY693 ) )
| ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SX3 @ SY683 )
| ~ ( in @ SX4 @ SY693 ) )
| ~ ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( in @ SX5 @ SX3 )
| ~ ( in @ SX5 @ SY693 ) ) )
| ~ ! [SX5: $i] :
( ~ ( in @ SX5 @ SY683 )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SX5 )
| ( in @ SX6 @ SX3 ) )
| ( in @ SX4 @ SX5 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(299,plain,
! [SV56: $i] :
( ( ! [SY701: $i,SY702: $i] :
( ~ ( in @ SY702 @ SY701 )
| ( in @ SY702 @ ( setadjoin @ SV56 @ SY701 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(300,plain,
! [SV57: $i] :
( ( ~ ! [SY703: $i] :
~ ( in @ SY703 @ SV57 )
| ( SV57 = emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(301,plain,
! [SV58: $i] :
( ( ~ ( ( SV58 != emptyset ) )
| ~ ! [SY704: $i] :
~ ( in @ SY704 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(302,plain,
! [SV59: $i] :
( ( ~ ( in @ SV59 @ omega )
| ( in @ ( setadjoin @ SV59 @ SV59 ) @ omega ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(303,plain,
! [SV60: $i] :
( ( ~ ( in @ SV60 @ emptyset )
| ! [SX1: $o] : SX1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(304,plain,
! [SV61: $i] :
( ( ! [SY706: $i > $o] :
( ~ ~ ! [SY707: $i] :
~ ~ ( ~ ( in @ SY707 @ SV61 )
| ~ ( SY706 @ SY707 ) )
| ( ( dsetconstr @ SV61
@ ^ [SX2: $i] : ( SY706 @ SX2 ) )
!= emptyset )
| $false ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(305,plain,
! [SV62: $i] :
( ( ! [SY709: $i > $o,SY710: $i] :
( ~ ( in @ SY710 @ SV62 )
| ~ ( ~ ( ~ ( in @ SY710
@ ( dsetconstr @ SV62
@ ^ [SX3: $i] : ( SY709 @ SX3 ) ) )
| ( SY709 @ SY710 ) )
| ~ ( ~ ( SY709 @ SY710 )
| ( in @ SY710
@ ( dsetconstr @ SV62
@ ^ [SX3: $i] : ( SY709 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(306,plain,
! [SV63: $i] :
( ( ~ ( ( SV63 != emptyset ) )
| ~ ! [SY713: $i] :
~ ~ ( ~ ( in @ SY713 @ SV63 )
| ~ $true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(307,plain,
! [SV64: $i] :
( ( ! [SY714: $i,SY715: $i] :
( ~ ( in @ SY715 @ ( setadjoin @ SV64 @ SY714 ) )
| ( SY715 = SV64 )
| ( in @ SY715 @ SY714 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(308,plain,
! [SV65: $i > $o] :
( ( ~ ~ ! [SY716: $i] :
~ ! [SY717: $i] :
~ ( ~ ( ~ ( SV65 @ SY717 )
| ( SY717 = SY716 ) )
| ~ ( ( SY717 != SY716 )
| ( SV65 @ SY717 ) ) )
| ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(309,plain,
! [SV66: $i] :
( ( ! [SY720: $i] :
( ( SV66 != SY720 )
| ( in @ SV66 @ ( setadjoin @ SY720 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(310,plain,
! [SV67: $i > $i > $o] :
( ( ! [SY721: $i] :
( ~ ! [SY722: $i] :
( ~ ( in @ SY722 @ SY721 )
| ~ ! [SY723: $i] :
~ ~ ( ~ ( SV67 @ SY722 @ SY723 )
| ~ ! [SY724: $i] :
( ~ ( SV67 @ SY722 @ SY724 )
| ( SY723 = SY724 ) ) ) )
| ~ ! [SY725: $i] :
~ ! [SY726: $i] :
~ ( ~ ( ~ ( in @ SY726 @ SY725 )
| ~ ! [SY727: $i] :
~ ~ ( ~ ( in @ SY727 @ SY721 )
| ~ ( SV67 @ SY727 @ SY726 ) ) )
| ~ ( ~ ~ ! [SY728: $i] :
~ ~ ( ~ ( in @ SY728 @ SY721 )
| ~ ( SV67 @ SY728 @ SY726 ) )
| ( in @ SY726 @ SY725 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(311,plain,
! [SV68: $i] :
( ( ~ ~ ! [SY729: $i] :
~ ( in @ SY729 @ SV68 )
| ( SV68 != emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(312,plain,
! [SV69: $i] :
( ( ! [SY730: $i] :
( ~ ( in @ SV69 @ ( setadjoin @ SY730 @ emptyset ) )
| ( SV69 = SY730 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(313,plain,
! [SV70: $i] :
( ( ~ ~ ( ~ ( in @ emptyset @ SV70 )
| ~ ! [SY731: $i] :
( ~ ~ ( ~ ( in @ SY731 @ omega )
| ~ ( in @ SY731 @ SV70 ) )
| ( in @ ( setadjoin @ SY731 @ SY731 ) @ SV70 ) ) )
| ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(314,plain,
! [SV71: $i > $o] :
( ( ~ ~ ! [SY733: $i] :
~ ~ ( ~ ( SV71 @ SY733 )
| ~ ! [SY734: $i] :
( ~ ( SV71 @ SY734 )
| ( SY733 = SY734 ) ) )
| ~ ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(315,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ~ ( in @ SX2 @ SX1 )
| ~ ( in @ SX2 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(316,plain,
! [SV72: $i] :
( ( ! [SY737: $i > $o,SY738: $i] :
( ~ ( in @ SY738 @ SV72 )
| ~ ( SY737 @ SY738 )
| ( ( dsetconstr @ SV72
@ ^ [SX3: $i] : ( SY737 @ SX3 ) )
!= emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(317,plain,
! [SV73: $i] :
( ( ! [SY740: $i] :
( ~ ( in @ SV73 @ ( setadjoin @ SY740 @ emptyset ) )
| ( in @ SY740 @ ( setadjoin @ SV73 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(318,plain,
! [SV74: $i] :
( ( ~ ! [SY741: $i] :
~ ( in @ SY741 @ SV74 )
| ( SV74 = emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(319,plain,
! [SV75: $i > $o] :
( ( ~ ~ ! [SY742: $i] :
~ ~ ( ~ ( SV75 @ SY742 )
| ~ ! [SY743: $i] :
( ~ ( SV75 @ SY743 )
| ( SY742 = SY743 ) ) )
| ! [SY744: $i,SY745: $i] :
( ~ ( SV75 @ SY744 )
| ~ ( SV75 @ SY745 )
| ( SY744 = SY745 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(320,plain,
! [SV76: $i] :
( ( ! [SY746: $i] :
( ( SV76 != SY746 )
| ! [SY747: $i,SY748: $i] :
( ( SY747 != SY748 )
| ~ ( ~ ( ~ ( in @ SY747 @ SV76 )
| ( in @ SY748 @ SY746 ) )
| ~ ( ~ ( in @ SY748 @ SY746 )
| ( in @ SY747 @ SV76 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(321,plain,
! [SV77: $i] :
( ( ! [SY749: $i] :
( ( SV77 != SY749 )
| ! [SY750: $i,SY751: $i] :
( ( SY750 != SY751 )
| ~ ( in @ SY750 @ SV77 )
| ( in @ SY751 @ SY749 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(322,plain,
! [SV2: $i,SV78: $i] :
( ( in @ SV78 @ ( setadjoin @ SV2 @ ( setadjoin @ SV78 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(323,plain,
! [SV79: $i,SV3: $i] :
( ( in @ SV3 @ ( setadjoin @ SV3 @ ( setadjoin @ SV79 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(324,plain,
! [SV80: $i,SV7: $i] :
( ( in @ SV7 @ ( setadjoin @ SV7 @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(325,plain,
! [SV8: $i] :
( ( in @ SV8 @ emptyset )
= $false ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(326,plain,
! [SV9: $i] :
( ( in @ SV9 @ emptyset )
= $false ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(327,plain,
! [SV81: $i > $o,SV10: $i] :
( ( ~ ~ ! [SY752: $i] :
( ~ ( in @ SY752 @ SV10 )
| ( SV81 @ SY752 ) )
| ~ ! [SY753: $i] :
~ ~ ( ~ ( in @ SY753 @ SV10 )
| ~ ~ ( SV81 @ SY753 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(328,plain,
! [SV11: $i] :
( ( ( ~ ( in @ SV11 @ emptyset ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(329,plain,
! [SV12: $i > $o] :
( ( ( ~ ~ ! [SY562: $i] :
~ ~ ( ~ ( SV12 @ SY562 )
| ~ ! [SY563: $i] :
( ~ ( SV12 @ SY563 )
| ( SY562 = SY563 ) ) ) )
= $true )
| ( ( ! [SY564: $i,SY565: $i] :
( ~ ( SV12 @ SY564 )
| ~ ( SV12 @ SY565 )
| ( SY564 = SY565 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(330,plain,
! [SV82: $i > $o,SV13: $i] :
( ( ~ ! [SY754: $i] :
( ~ ( in @ SY754 @ SV13 )
| ~ ( SV82 @ SY754 ) )
| ~ ~ ! [SY755: $i] :
~ ~ ( ~ ( in @ SY755 @ SV13 )
| ~ ( SV82 @ SY755 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(331,plain,
! [SV83: $i,SV14: $i] :
( ( ( SV14 != SV83 )
| ! [SY756: $i,SY757: $i] :
( ( SY756 != SY757 )
| ( ( setadjoin @ SV14 @ SY756 )
= ( setadjoin @ SV83 @ SY757 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(332,plain,
! [SV15: $i,SV84: $i] :
( ( ~ ( ~ ( ~ ( in @ SV84 @ ( setunion @ SV15 ) )
| ~ ! [SY758: $i] :
~ ~ ( ~ ( in @ SV84 @ SY758 )
| ~ ( in @ SY758 @ SV15 ) ) )
| ~ ( ~ ~ ! [SY759: $i] :
~ ~ ( ~ ( in @ SV84 @ SY759 )
| ~ ( in @ SY759 @ SV15 ) )
| ( in @ SV84 @ ( setunion @ SV15 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(333,plain,
! [SV85: $i,SV16: $i] :
( ( ( SV16 != SV85 )
| ( ( setunion @ SV16 )
= ( setunion @ SV85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(334,plain,
! [SV86: $i,SV17: $i] :
( ( ( SV17 != SV86 )
| ( subset @ SV86 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(335,plain,
! [SV18: $i > $o] :
( ( ( ~ ~ ! [SY577: $i] :
~ ~ ( ~ ( SV18 @ SY577 )
| ~ ! [SY578: $i] :
( ~ ( SV18 @ SY578 )
| ( SY577 = SY578 ) ) ) )
= $true )
| ( ( ~ ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(336,plain,
! [SV87: $i,SV19: $i] :
( ( ~ ( ( SV19 != SV87 ) )
| ~ ( in @ SV87 @ ( setadjoin @ SV19 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(337,plain,
! [SV88: $i > $o,SV20: $i] :
( ( ~ ~ ! [SY760: $i] :
~ ~ ( ~ ( in @ SY760 @ SV20 )
| ~ ~ ( SV88 @ SY760 ) )
| ~ ! [SY761: $i] :
( ~ ( in @ SY761 @ SV20 )
| ( SV88 @ SY761 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(338,plain,
! [SV89: $i > $o,SV21: $i] :
( ( ~ ~ ~ ! [SY762: $i] :
~ ~ ( ~ ( in @ SY762 @ SV21 )
| ~ ( SV89 @ SY762 ) )
| ! [SY763: $i] :
( ~ ( in @ SY763 @ SV21 )
| ~ ( SV89 @ SY763 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(339,plain,
! [SV22: $i] :
( ( ( ~ ~ ! [SY587: $i] :
~ ( in @ SY587 @ SV22 ) )
= $true )
| ( ( ~ ! [SY588: $i] :
~ ~ ( ~ ( in @ SY588 @ SV22 )
| ~ ~ ~ ! [SY589: $i] :
~ ~ ( ~ ( in @ SY589 @ SY588 )
| ~ ( in @ SY589 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(340,plain,
! [SV23: $o,SV90: $i] :
( ( ~ ( in @ SV90 @ ( prop2set @ SV23 ) )
| SV23 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(341,plain,
! [SV91: $i] :
( ( ~ ( in @ SV91 @ ( prop2set @ $true ) )
| $true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(342,plain,
! [SV92: $i] :
( ( ~ ( in @ SV92 @ ( prop2set @ $false ) )
| $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(343,plain,
! [SV93: $i > $o,SV24: $i] :
( ( ! [SY764: $i] :
( ~ ( in @ SY764
@ ( dsetconstr @ SV24
@ ^ [SY765: $i] : ( SV93 @ SY765 ) ) )
| ( in @ SY764 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(344,plain,
! [SV25: $i > $o,SV94: $i] :
( ( ~ ( in @ SV94 @ emptyset )
| ( SV25 @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(345,plain,
! [SV95: $i > $o,SV26: $i] :
( ( ! [SY766: $i] :
( ~ ( in @ SY766 @ SV26 )
| ~ ( SV95 @ SY766 )
| ( in @ SY766
@ ( dsetconstr @ SV26
@ ^ [SY767: $i] : ( SV95 @ SY767 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(346,plain,
! [SV96: $i,SV27: $i] :
( ( ! [SY768: $i] :
~ ( ~ ( ~ ( in @ SY768 @ ( setadjoin @ SV27 @ SV96 ) )
| ( SY768 = SV27 )
| ( in @ SY768 @ SV96 ) )
| ~ ( ~ ( ( SY768 = SV27 )
| ( in @ SY768 @ SV96 ) )
| ( in @ SY768 @ ( setadjoin @ SV27 @ SV96 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(347,plain,
! [SV28: $o] :
( ( ( ~ SV28 ) = $true )
| ( ( set2prop @ ( prop2set @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(348,plain,
( ( ( ~ $true ) = $true )
| ( ( set2prop @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(349,plain,
( ( ( ~ $false ) = $true )
| ( ( set2prop @ ( prop2set @ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(350,plain,
! [SV97: $i,SV29: $i] :
( ( ( SV29 != SV97 )
| ( subset @ SV29 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(351,plain,
! [SV98: $i,SV30: $i] :
( ( ~ ! [SY769: $i] :
( ~ ( in @ SY769 @ SV30 )
| ( in @ SY769 @ SV98 ) )
| ~ ! [SY770: $i] :
( ~ ( in @ SY770 @ SV98 )
| ( in @ SY770 @ SV30 ) )
| ( SV30 = SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(352,plain,
! [SV31: $i > $o] :
( ( ( ~ ~ ! [SY604: $i] :
~ ~ ( ~ ( SV31 @ SY604 )
| ~ ! [SY605: $i] :
( ~ ( SV31 @ SY605 )
| ( SY604 = SY605 ) ) ) )
= $true )
| ( ( ~ ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(353,plain,
! [SV99: $i,SV32: $i] :
( ( ( SV32 != SV99 )
| ( ( powerset @ SV32 )
= ( powerset @ SV99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(354,plain,
! [SV33: $i > $o] :
( ( ( ~ ~ ! [SY609: $i] :
~ ~ ( ~ ( SV33 @ SY609 )
| ~ ! [SY610: $i] :
( ~ ( SV33 @ SY610 )
| ( SY609 = SY610 ) ) ) )
= $true )
| ( ( SV33
@ ( descr
@ ^ [SY611: $i] : ( SV33 @ SY611 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(355,plain,
! [SV100: $i,SV34: $i] :
( ( ~ ! [SY771: $i] :
~ ( ~ ( ~ ( in @ SY771 @ SV34 )
| ( in @ SY771 @ SV100 ) )
| ~ ( ~ ( in @ SY771 @ SV100 )
| ( in @ SY771 @ SV34 ) ) )
| ( SV34 = SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(356,plain,
! [SV101: $i > $o,SV35: $i] :
( ( ~ ~ ~ ! [SY772: $i] :
~ ~ ( ~ ( in @ SY772 @ SV35 )
| ~ ( SV101 @ SY772 ) )
| ! [SY773: $i] :
( ~ ( in @ SY773 @ SV35 )
| ~ ( SV101 @ SY773 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(357,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ~ ! [SY774: $i,SY775: $i] :
( ( SY774 != SY775 )
| ~ ( ~ ( ~ ( SV36 @ SY774 )
| ( SV102 @ SY775 ) )
| ~ ( ~ ( SV102 @ SY775 )
| ( SV36 @ SY774 ) ) ) )
| ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(358,plain,
! [SV37: $i,SV103: $i] :
( ( ~ ( in @ SV103 @ ( setunion @ SV37 ) )
| ! [SY782: $o] :
( ~ ! [SY783: $i] :
( ~ ( in @ SV103 @ SY783 )
| ~ ( in @ SY783 @ SV37 )
| SY782 )
| SY782 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(359,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ~ ! [SY784: $i,SY785: $i] :
( ( SY784 != SY785 )
| ~ ( ~ ( ~ ( SV38 @ SY784 )
| ( SV104 @ SY785 ) )
| ~ ( ~ ( SV104 @ SY785 )
| ( SV38 @ SY784 ) ) ) )
| ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(360,plain,
! [SV39: $i,SV105: $i] :
( ( ~ ( ~ ( ~ ( in @ SV105 @ ( powerset @ SV39 ) )
| ! [SY794: $i] :
( ~ ( in @ SY794 @ SV105 )
| ( in @ SY794 @ SV39 ) ) )
| ~ ( ~ ! [SY795: $i] :
( ~ ( in @ SY795 @ SV105 )
| ( in @ SY795 @ SV39 ) )
| ( in @ SV105 @ ( powerset @ SV39 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(361,plain,
! [SV106: $i,SV40: $i] :
( ( ~ ! [SY796: $i] :
( ~ ( in @ SY796 @ SV40 )
| ( in @ SY796 @ SV106 ) )
| ( subset @ SV40 @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(362,plain,
! [SV41: $i,SV107: $i] :
( ( ~ ! [SY797: $i] :
( ~ ( in @ SY797 @ SV107 )
| ( in @ SY797 @ SV41 ) )
| ( in @ SV107 @ ( powerset @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(363,plain,
! [SV42: $o] :
( ( ( ~ SV42 ) = $true )
| ( ( in @ emptyset @ ( prop2set @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(364,plain,
( ( ( ~ $true ) = $true )
| ( ( in @ emptyset @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(365,plain,
( ( ( ~ $false ) = $true )
| ( ( in @ emptyset @ ( prop2set @ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(366,plain,
! [SV43: $i > $o] :
( ( ( ~ ~ ! [SY647: $i] :
~ ( SV43 @ SY647 ) )
= $true )
| ( ( ~ ! [SY648: $i,SY649: $i] :
( ~ ( SV43 @ SY648 )
| ~ ( SV43 @ SY649 )
| ( SY648 = SY649 ) )
| ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(367,plain,
! [SV44: $i,SV108: $i] :
( ( ! [SY798: $i] :
( ~ ( in @ SV108 @ ( powerset @ SV44 ) )
| ~ ( in @ SY798 @ SV108 )
| ( in @ SY798 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(368,plain,
! [SV109: $i > $o,SV45: $i] :
( ( ~ ~ ! [SY799: $i] :
( ~ ( in @ SY799 @ SV45 )
| ( SV109 @ SY799 ) )
| ~ ! [SY800: $i] :
~ ~ ( ~ ( in @ SY800 @ SV45 )
| ~ ~ ( SV109 @ SY800 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(369,plain,
! [SV46: $i,SV110: $i] :
( ( ! [SY801: $i] :
( ~ ( in @ SV110 @ SY801 )
| ~ ( in @ SY801 @ SV46 )
| ( in @ SV110 @ ( setunion @ SV46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(370,plain,
! [SV47: $i > $o] :
( ( ( ~ ~ ! [SY659: $i] :
~ ~ ( ~ ( SV47 @ SY659 )
| ~ ! [SY660: $i] :
( ~ ( SV47 @ SY660 )
| ( SY659 = SY660 ) ) ) )
= $true )
| ( ( ~ ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(371,plain,
! [SV111: $i > $o,SV48: $i] :
( ( ! [SY802: $i] :
( ~ ( in @ SY802
@ ( dsetconstr @ SV48
@ ^ [SY803: $i] : ( SV111 @ SY803 ) ) )
| ( SV111 @ SY802 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(372,plain,
! [SV112: $i,SV49: $i] :
( ( ! [SY804: $i] :
( ~ ( in @ SY804 @ ( setadjoin @ SV49 @ SV112 ) )
| ! [SY805: $o] :
( ~ ( ( SY804 != SV49 )
| SY805 )
| ~ ( ~ ( in @ SY804 @ SV112 )
| SY805 )
| SY805 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(373,plain,
! [SV113: $i,SV50: $i] :
( ( ~ ! [SY806: $i] :
( ~ ( in @ SY806 @ SV50 )
| ( in @ SY806 @ SV113 ) )
| ( subset @ SV50 @ SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(374,plain,
! [SV114: $i,SV51: $i] :
( ( ( SV51 != SV114 )
| ! [SY807: $i > $o,SY808: $i > $o] :
( ~ ! [SY809: $i] :
( ~ ( in @ SY809 @ SV51 )
| ! [SY810: $i] :
( ~ ( in @ SY810 @ SV114 )
| ( SY809 != SY810 )
| ~ ( ~ ( ~ ( SY807 @ SY809 )
| ( SY808 @ SY810 ) )
| ~ ( ~ ( SY808 @ SY810 )
| ( SY807 @ SY809 ) ) ) ) )
| ( ( dsetconstr @ SV51
@ ^ [SX4: $i] : ( SY807 @ SX4 ) )
= ( dsetconstr @ SV114
@ ^ [SX4: $i] : ( SY808 @ SX4 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(375,plain,
! [SV115: $i,SV52: $i] :
( ( ! [SY813: $i] :
( ~ ( in @ SY813 @ ( setadjoin @ SV52 @ ( setadjoin @ SV115 @ emptyset ) ) )
| ( SY813 = SV52 )
| ( SY813 = SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(376,plain,
! [SV53: $i,SV116: $i] :
( ( ~ ( in @ SV116 @ SV53 )
| ( in @ SV116 @ ( powerset @ ( setunion @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(377,plain,
! [SV117: $i,SV54: $i] :
( ( ! [SY814: $i] :
( ~ ( subset @ SV54 @ SV117 )
| ~ ( in @ SY814 @ SV54 )
| ( in @ SY814 @ SV117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(378,plain,
! [SV55: $i] :
( ( ! [SY683: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY684: $i] :
( ~ ( in @ SY684 @ SY683 )
| ! [SY685: $i] :
( ~ ( in @ SY685 @ SY684 )
| ( in @ SY685 @ SV55 ) ) )
| ~ ! [SY686: $i,SY687: $i] :
( ~ ~ ( ~ ( in @ SY686 @ SV55 )
| ~ ( in @ SY687 @ SV55 ) )
| ~ ! [SX4: $i] :
( ~ ( in @ SX4 @ SY683 )
| ~ ( ~ ( ~ ( in @ SY686 @ SX4 )
| ( in @ SY687 @ SX4 ) )
| ~ ( ~ ( in @ SY687 @ SX4 )
| ( in @ SY686 @ SX4 ) ) ) )
| ( SY686 = SY687 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( in @ SX2 @ SY683 )
| ~ ( in @ SX3 @ SY683 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SX2 )
| ( in @ SX4 @ SX3 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SX3 )
| ( in @ SX4 @ SX2 ) ) ) )
| ~ ! [SY693: $i] :
( ~ ~ ( ~ ! [SY694: $i] :
( ~ ( in @ SY694 @ SY693 )
| ( in @ SY694 @ SV55 ) )
| ~ ~ ! [SX3: $i] :
~ ( in @ SX3 @ SY693 ) )
| ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SX3 @ SY683 )
| ~ ( in @ SX4 @ SY693 ) )
| ~ ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( in @ SX5 @ SX3 )
| ~ ( in @ SX5 @ SY693 ) ) )
| ~ ! [SX5: $i] :
( ~ ( in @ SX5 @ SY683 )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SX5 )
| ( in @ SX6 @ SX3 ) )
| ( in @ SX4 @ SX5 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(379,plain,
! [SV56: $i,SV118: $i] :
( ( ! [SY815: $i] :
( ~ ( in @ SY815 @ SV118 )
| ( in @ SY815 @ ( setadjoin @ SV56 @ SV118 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(380,plain,
! [SV57: $i] :
( ( ( ~ ! [SY703: $i] :
~ ( in @ SY703 @ SV57 ) )
= $true )
| ( ( SV57 = emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(381,plain,
! [SV58: $i] :
( ( ( ~ ( ( SV58 != emptyset ) ) )
= $true )
| ( ( ~ ! [SY704: $i] :
~ ( in @ SY704 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(382,plain,
! [SV59: $i] :
( ( ( ~ ( in @ SV59 @ omega ) )
= $true )
| ( ( in @ ( setadjoin @ SV59 @ SV59 ) @ omega )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(383,plain,
! [SV60: $i] :
( ( ( ~ ( in @ SV60 @ emptyset ) )
= $true )
| ( ( ! [SX1: $o] : SX1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(384,plain,
! [SV119: $i > $o,SV61: $i] :
( ( ~ ~ ! [SY816: $i] :
~ ~ ( ~ ( in @ SY816 @ SV61 )
| ~ ( SV119 @ SY816 ) )
| ( ( dsetconstr @ SV61
@ ^ [SY817: $i] : ( SV119 @ SY817 ) )
!= emptyset )
| $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(385,plain,
! [SV120: $i > $o,SV62: $i] :
( ( ! [SY818: $i] :
( ~ ( in @ SY818 @ SV62 )
| ~ ( ~ ( ~ ( in @ SY818
@ ( dsetconstr @ SV62
@ ^ [SY819: $i] : ( SV120 @ SY819 ) ) )
| ( SV120 @ SY818 ) )
| ~ ( ~ ( SV120 @ SY818 )
| ( in @ SY818
@ ( dsetconstr @ SV62
@ ^ [SY820: $i] : ( SV120 @ SY820 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(386,plain,
! [SV63: $i] :
( ( ( ~ ( ( SV63 != emptyset ) ) )
= $true )
| ( ( ~ ! [SY713: $i] :
~ ~ ( ~ ( in @ SY713 @ SV63 )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(387,plain,
! [SV121: $i,SV64: $i] :
( ( ! [SY821: $i] :
( ~ ( in @ SY821 @ ( setadjoin @ SV64 @ SV121 ) )
| ( SY821 = SV64 )
| ( in @ SY821 @ SV121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(388,plain,
! [SV65: $i > $o] :
( ( ( ~ ~ ! [SY716: $i] :
~ ! [SY717: $i] :
~ ( ~ ( ~ ( SV65 @ SY717 )
| ( SY717 = SY716 ) )
| ~ ( ( SY717 != SY716 )
| ( SV65 @ SY717 ) ) ) )
= $true )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(389,plain,
! [SV122: $i,SV66: $i] :
( ( ( SV66 != SV122 )
| ( in @ SV66 @ ( setadjoin @ SV122 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(390,plain,
! [SV67: $i > $i > $o,SV123: $i] :
( ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ SV123 )
| ~ ! [SY723: $i] :
~ ~ ( ~ ( SV67 @ SY822 @ SY723 )
| ~ ! [SY724: $i] :
( ~ ( SV67 @ SY822 @ SY724 )
| ( SY723 = SY724 ) ) ) )
| ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(391,plain,
! [SV68: $i] :
( ( ( ~ ~ ! [SY729: $i] :
~ ( in @ SY729 @ SV68 ) )
= $true )
| ( ( SV68 != emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(392,plain,
! [SV124: $i,SV69: $i] :
( ( ~ ( in @ SV69 @ ( setadjoin @ SV124 @ emptyset ) )
| ( SV69 = SV124 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(393,plain,
! [SV70: $i] :
( ( ( ~ ~ ( ~ ( in @ emptyset @ SV70 )
| ~ ! [SY731: $i] :
( ~ ~ ( ~ ( in @ SY731 @ omega )
| ~ ( in @ SY731 @ SV70 ) )
| ( in @ ( setadjoin @ SY731 @ SY731 ) @ SV70 ) ) ) )
= $true )
| ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(394,plain,
! [SV71: $i > $o] :
( ( ( ~ ~ ! [SY733: $i] :
~ ~ ( ~ ( SV71 @ SY733 )
| ~ ! [SY734: $i] :
( ~ ( SV71 @ SY734 )
| ( SY733 = SY734 ) ) ) )
= $true )
| ( ( ~ ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(395,plain,
( ( ! [SY829: $i,SY830: $i] :
( ~ ( subset @ sK1_SX0 @ SY829 )
| ~ ~ ( in @ SY830 @ SY829 )
| ~ ( in @ SY830 @ sK1_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[315]) ).
thf(396,plain,
! [SV125: $i > $o,SV72: $i] :
( ( ! [SY831: $i] :
( ~ ( in @ SY831 @ SV72 )
| ~ ( SV125 @ SY831 )
| ( ( dsetconstr @ SV72
@ ^ [SY832: $i] : ( SV125 @ SY832 ) )
!= emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(397,plain,
! [SV126: $i,SV73: $i] :
( ( ~ ( in @ SV73 @ ( setadjoin @ SV126 @ emptyset ) )
| ( in @ SV126 @ ( setadjoin @ SV73 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(398,plain,
! [SV74: $i] :
( ( ( ~ ! [SY741: $i] :
~ ( in @ SY741 @ SV74 ) )
= $true )
| ( ( SV74 = emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(399,plain,
! [SV75: $i > $o] :
( ( ( ~ ~ ! [SY742: $i] :
~ ~ ( ~ ( SV75 @ SY742 )
| ~ ! [SY743: $i] :
( ~ ( SV75 @ SY743 )
| ( SY742 = SY743 ) ) ) )
= $true )
| ( ( ! [SY744: $i,SY745: $i] :
( ~ ( SV75 @ SY744 )
| ~ ( SV75 @ SY745 )
| ( SY744 = SY745 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(400,plain,
! [SV127: $i,SV76: $i] :
( ( ( SV76 != SV127 )
| ! [SY833: $i,SY834: $i] :
( ( SY833 != SY834 )
| ~ ( ~ ( ~ ( in @ SY833 @ SV76 )
| ( in @ SY834 @ SV127 ) )
| ~ ( ~ ( in @ SY834 @ SV127 )
| ( in @ SY833 @ SV76 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(401,plain,
! [SV128: $i,SV77: $i] :
( ( ( SV77 != SV128 )
| ! [SY835: $i,SY836: $i] :
( ( SY835 != SY836 )
| ~ ( in @ SY835 @ SV77 )
| ( in @ SY836 @ SV128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(402,plain,
! [SV81: $i > $o,SV10: $i] :
( ( ( ~ ~ ! [SY752: $i] :
( ~ ( in @ SY752 @ SV10 )
| ( SV81 @ SY752 ) ) )
= $true )
| ( ( ~ ! [SY753: $i] :
~ ~ ( ~ ( in @ SY753 @ SV10 )
| ~ ~ ( SV81 @ SY753 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(403,plain,
! [SV11: $i] :
( ( ( in @ SV11 @ emptyset )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(404,plain,
! [SV12: $i > $o] :
( ( ( ~ ! [SY562: $i] :
~ ~ ( ~ ( SV12 @ SY562 )
| ~ ! [SY563: $i] :
( ~ ( SV12 @ SY563 )
| ( SY562 = SY563 ) ) ) )
= $false )
| ( ( ! [SY564: $i,SY565: $i] :
( ~ ( SV12 @ SY564 )
| ~ ( SV12 @ SY565 )
| ( SY564 = SY565 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(405,plain,
! [SV82: $i > $o,SV13: $i] :
( ( ( ~ ! [SY754: $i] :
( ~ ( in @ SY754 @ SV13 )
| ~ ( SV82 @ SY754 ) ) )
= $true )
| ( ( ~ ~ ! [SY755: $i] :
~ ~ ( ~ ( in @ SY755 @ SV13 )
| ~ ( SV82 @ SY755 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(406,plain,
! [SV83: $i,SV14: $i] :
( ( ( SV14 != SV83 )
= $true )
| ( ( ! [SY756: $i,SY757: $i] :
( ( SY756 != SY757 )
| ( ( setadjoin @ SV14 @ SY756 )
= ( setadjoin @ SV83 @ SY757 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(407,plain,
! [SV15: $i,SV84: $i] :
( ( ~ ( ~ ( in @ SV84 @ ( setunion @ SV15 ) )
| ~ ! [SY758: $i] :
~ ~ ( ~ ( in @ SV84 @ SY758 )
| ~ ( in @ SY758 @ SV15 ) ) )
| ~ ( ~ ~ ! [SY759: $i] :
~ ~ ( ~ ( in @ SV84 @ SY759 )
| ~ ( in @ SY759 @ SV15 ) )
| ( in @ SV84 @ ( setunion @ SV15 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(408,plain,
! [SV85: $i,SV16: $i] :
( ( ( SV16 != SV85 )
= $true )
| ( ( ( setunion @ SV16 )
= ( setunion @ SV85 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(409,plain,
! [SV86: $i,SV17: $i] :
( ( ( SV17 != SV86 )
= $true )
| ( ( subset @ SV86 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(410,plain,
! [SV18: $i > $o] :
( ( ( ~ ! [SY577: $i] :
~ ~ ( ~ ( SV18 @ SY577 )
| ~ ! [SY578: $i] :
( ~ ( SV18 @ SY578 )
| ( SY577 = SY578 ) ) ) )
= $false )
| ( ( ~ ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(411,plain,
! [SV87: $i,SV19: $i] :
( ( ( ~ ( ( SV19 != SV87 ) ) )
= $true )
| ( ( ~ ( in @ SV87 @ ( setadjoin @ SV19 @ emptyset ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(412,plain,
! [SV88: $i > $o,SV20: $i] :
( ( ( ~ ~ ! [SY760: $i] :
~ ~ ( ~ ( in @ SY760 @ SV20 )
| ~ ~ ( SV88 @ SY760 ) ) )
= $true )
| ( ( ~ ! [SY761: $i] :
( ~ ( in @ SY761 @ SV20 )
| ( SV88 @ SY761 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(413,plain,
! [SV89: $i > $o,SV21: $i] :
( ( ( ~ ~ ~ ! [SY762: $i] :
~ ~ ( ~ ( in @ SY762 @ SV21 )
| ~ ( SV89 @ SY762 ) ) )
= $true )
| ( ( ! [SY763: $i] :
( ~ ( in @ SY763 @ SV21 )
| ~ ( SV89 @ SY763 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(414,plain,
! [SV22: $i] :
( ( ( ~ ! [SY587: $i] :
~ ( in @ SY587 @ SV22 ) )
= $false )
| ( ( ~ ! [SY588: $i] :
~ ~ ( ~ ( in @ SY588 @ SV22 )
| ~ ~ ~ ! [SY589: $i] :
~ ~ ( ~ ( in @ SY589 @ SY588 )
| ~ ( in @ SY589 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(415,plain,
! [SV23: $o,SV90: $i] :
( ( ( ~ ( in @ SV90 @ ( prop2set @ SV23 ) ) )
= $true )
| ( SV23 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(416,plain,
! [SV91: $i] :
( ( ( ~ ( in @ SV91 @ ( prop2set @ $true ) ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(417,plain,
! [SV92: $i] :
( ( ( ~ ( in @ SV92 @ ( prop2set @ $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(418,plain,
! [SV93: $i > $o,SV24: $i,SV129: $i] :
( ( ~ ( in @ SV129
@ ( dsetconstr @ SV24
@ ^ [SY765: $i] : ( SV93 @ SY765 ) ) )
| ( in @ SV129 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(419,plain,
! [SV25: $i > $o,SV94: $i] :
( ( ( ~ ( in @ SV94 @ emptyset ) )
= $true )
| ( ( SV25 @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(420,plain,
! [SV95: $i > $o,SV26: $i,SV130: $i] :
( ( ~ ( in @ SV130 @ SV26 )
| ~ ( SV95 @ SV130 )
| ( in @ SV130
@ ( dsetconstr @ SV26
@ ^ [SY767: $i] : ( SV95 @ SY767 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(421,plain,
! [SV96: $i,SV27: $i,SV131: $i] :
( ( ~ ( ~ ( ~ ( in @ SV131 @ ( setadjoin @ SV27 @ SV96 ) )
| ( SV131 = SV27 )
| ( in @ SV131 @ SV96 ) )
| ~ ( ~ ( ( SV131 = SV27 )
| ( in @ SV131 @ SV96 ) )
| ( in @ SV131 @ ( setadjoin @ SV27 @ SV96 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(422,plain,
! [SV28: $o] :
( ( SV28 = $false )
| ( ( set2prop @ ( prop2set @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(423,plain,
( ( $true = $false )
| ( ( set2prop @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(424,plain,
( ( $false = $false )
| ( ( set2prop @ ( prop2set @ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(425,plain,
! [SV97: $i,SV29: $i] :
( ( ( SV29 != SV97 )
= $true )
| ( ( subset @ SV29 @ SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(426,plain,
! [SV98: $i,SV30: $i] :
( ( ( ~ ! [SY769: $i] :
( ~ ( in @ SY769 @ SV30 )
| ( in @ SY769 @ SV98 ) ) )
= $true )
| ( ( ~ ! [SY770: $i] :
( ~ ( in @ SY770 @ SV98 )
| ( in @ SY770 @ SV30 ) )
| ( SV30 = SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(427,plain,
! [SV31: $i > $o] :
( ( ( ~ ! [SY604: $i] :
~ ~ ( ~ ( SV31 @ SY604 )
| ~ ! [SY605: $i] :
( ~ ( SV31 @ SY605 )
| ( SY604 = SY605 ) ) ) )
= $false )
| ( ( ~ ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(428,plain,
! [SV99: $i,SV32: $i] :
( ( ( SV32 != SV99 )
= $true )
| ( ( ( powerset @ SV32 )
= ( powerset @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(429,plain,
! [SV33: $i > $o] :
( ( ( ~ ! [SY609: $i] :
~ ~ ( ~ ( SV33 @ SY609 )
| ~ ! [SY610: $i] :
( ~ ( SV33 @ SY610 )
| ( SY609 = SY610 ) ) ) )
= $false )
| ( ( SV33
@ ( descr
@ ^ [SY611: $i] : ( SV33 @ SY611 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(430,plain,
! [SV100: $i,SV34: $i] :
( ( ( ~ ! [SY771: $i] :
~ ( ~ ( ~ ( in @ SY771 @ SV34 )
| ( in @ SY771 @ SV100 ) )
| ~ ( ~ ( in @ SY771 @ SV100 )
| ( in @ SY771 @ SV34 ) ) ) )
= $true )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(431,plain,
! [SV101: $i > $o,SV35: $i] :
( ( ( ~ ~ ~ ! [SY772: $i] :
~ ~ ( ~ ( in @ SY772 @ SV35 )
| ~ ( SV101 @ SY772 ) ) )
= $true )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV35 )
| ~ ( SV101 @ SY773 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(432,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ! [SY774: $i,SY775: $i] :
( ( SY774 != SY775 )
| ~ ( ~ ( ~ ( SV36 @ SY774 )
| ( SV102 @ SY775 ) )
| ~ ( ~ ( SV102 @ SY775 )
| ( SV36 @ SY774 ) ) ) ) )
= $true )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(433,plain,
! [SV37: $i,SV103: $i] :
( ( ( ~ ( in @ SV103 @ ( setunion @ SV37 ) ) )
= $true )
| ( ( ! [SY782: $o] :
( ~ ! [SY783: $i] :
( ~ ( in @ SV103 @ SY783 )
| ~ ( in @ SY783 @ SV37 )
| SY782 )
| SY782 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(434,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ! [SY784: $i,SY785: $i] :
( ( SY784 != SY785 )
| ~ ( ~ ( ~ ( SV38 @ SY784 )
| ( SV104 @ SY785 ) )
| ~ ( ~ ( SV104 @ SY785 )
| ( SV38 @ SY784 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(435,plain,
! [SV39: $i,SV105: $i] :
( ( ~ ( ~ ( in @ SV105 @ ( powerset @ SV39 ) )
| ! [SY794: $i] :
( ~ ( in @ SY794 @ SV105 )
| ( in @ SY794 @ SV39 ) ) )
| ~ ( ~ ! [SY795: $i] :
( ~ ( in @ SY795 @ SV105 )
| ( in @ SY795 @ SV39 ) )
| ( in @ SV105 @ ( powerset @ SV39 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(436,plain,
! [SV106: $i,SV40: $i] :
( ( ( ~ ! [SY796: $i] :
( ~ ( in @ SY796 @ SV40 )
| ( in @ SY796 @ SV106 ) ) )
= $true )
| ( ( subset @ SV40 @ SV106 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(437,plain,
! [SV41: $i,SV107: $i] :
( ( ( ~ ! [SY797: $i] :
( ~ ( in @ SY797 @ SV107 )
| ( in @ SY797 @ SV41 ) ) )
= $true )
| ( ( in @ SV107 @ ( powerset @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(438,plain,
! [SV42: $o] :
( ( SV42 = $false )
| ( ( in @ emptyset @ ( prop2set @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(439,plain,
( ( $true = $false )
| ( ( in @ emptyset @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(440,plain,
( ( $false = $false )
| ( ( in @ emptyset @ ( prop2set @ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(441,plain,
! [SV43: $i > $o] :
( ( ( ~ ! [SY647: $i] :
~ ( SV43 @ SY647 ) )
= $false )
| ( ( ~ ! [SY648: $i,SY649: $i] :
( ~ ( SV43 @ SY648 )
| ~ ( SV43 @ SY649 )
| ( SY648 = SY649 ) )
| ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(442,plain,
! [SV132: $i,SV44: $i,SV108: $i] :
( ( ~ ( in @ SV108 @ ( powerset @ SV44 ) )
| ~ ( in @ SV132 @ SV108 )
| ( in @ SV132 @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(443,plain,
! [SV109: $i > $o,SV45: $i] :
( ( ( ~ ~ ! [SY799: $i] :
( ~ ( in @ SY799 @ SV45 )
| ( SV109 @ SY799 ) ) )
= $true )
| ( ( ~ ! [SY800: $i] :
~ ~ ( ~ ( in @ SY800 @ SV45 )
| ~ ~ ( SV109 @ SY800 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(444,plain,
! [SV46: $i,SV133: $i,SV110: $i] :
( ( ~ ( in @ SV110 @ SV133 )
| ~ ( in @ SV133 @ SV46 )
| ( in @ SV110 @ ( setunion @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(445,plain,
! [SV47: $i > $o] :
( ( ( ~ ! [SY659: $i] :
~ ~ ( ~ ( SV47 @ SY659 )
| ~ ! [SY660: $i] :
( ~ ( SV47 @ SY660 )
| ( SY659 = SY660 ) ) ) )
= $false )
| ( ( ~ ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(446,plain,
! [SV111: $i > $o,SV48: $i,SV134: $i] :
( ( ~ ( in @ SV134
@ ( dsetconstr @ SV48
@ ^ [SY803: $i] : ( SV111 @ SY803 ) ) )
| ( SV111 @ SV134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(447,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( ~ ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
| ! [SY840: $o] :
( ~ ( ( SV135 != SV49 )
| SY840 )
| ~ ( ~ ( in @ SV135 @ SV112 )
| SY840 )
| SY840 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(448,plain,
! [SV113: $i,SV50: $i] :
( ( ( ~ ! [SY806: $i] :
( ~ ( in @ SY806 @ SV50 )
| ( in @ SY806 @ SV113 ) ) )
= $true )
| ( ( subset @ SV50 @ SV113 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(449,plain,
! [SV114: $i,SV51: $i] :
( ( ( SV51 != SV114 )
= $true )
| ( ( ! [SY807: $i > $o,SY808: $i > $o] :
( ~ ! [SY809: $i] :
( ~ ( in @ SY809 @ SV51 )
| ! [SY810: $i] :
( ~ ( in @ SY810 @ SV114 )
| ( SY809 != SY810 )
| ~ ( ~ ( ~ ( SY807 @ SY809 )
| ( SY808 @ SY810 ) )
| ~ ( ~ ( SY808 @ SY810 )
| ( SY807 @ SY809 ) ) ) ) )
| ( ( dsetconstr @ SV51
@ ^ [SX4: $i] : ( SY807 @ SX4 ) )
= ( dsetconstr @ SV114
@ ^ [SX4: $i] : ( SY808 @ SX4 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(450,plain,
! [SV115: $i,SV52: $i,SV136: $i] :
( ( ~ ( in @ SV136 @ ( setadjoin @ SV52 @ ( setadjoin @ SV115 @ emptyset ) ) )
| ( SV136 = SV52 )
| ( SV136 = SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(451,plain,
! [SV53: $i,SV116: $i] :
( ( ( ~ ( in @ SV116 @ SV53 ) )
= $true )
| ( ( in @ SV116 @ ( powerset @ ( setunion @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(452,plain,
! [SV137: $i,SV117: $i,SV54: $i] :
( ( ~ ( subset @ SV54 @ SV117 )
| ~ ( in @ SV137 @ SV54 )
| ( in @ SV137 @ SV117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(453,plain,
! [SV55: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY841: $i] :
( ~ ( in @ SY841 @ ( sK2_SY683 @ SV55 ) )
| ! [SY685: $i] :
( ~ ( in @ SY685 @ SY841 )
| ( in @ SY685 @ SV55 ) ) )
| ~ ! [SY843: $i,SY844: $i] :
( ~ ~ ( ~ ( in @ SY843 @ SV55 )
| ~ ( in @ SY844 @ SV55 ) )
| ~ ! [SY845: $i] :
( ~ ( in @ SY845 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SY843 @ SY845 )
| ( in @ SY844 @ SY845 ) )
| ~ ( ~ ( in @ SY844 @ SY845 )
| ( in @ SY843 @ SY845 ) ) ) )
| ( SY843 = SY844 ) ) )
| ~ ! [SY846: $i,SY847: $i] :
( ~ ~ ( ~ ( in @ SY846 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY847 @ ( sK2_SY683 @ SV55 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY846 )
| ( in @ SX4 @ SY847 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY847 )
| ( in @ SX4 @ SY846 ) ) ) )
| ~ ! [SY850: $i] :
( ~ ~ ( ~ ! [SY694: $i] :
( ~ ( in @ SY694 @ SY850 )
| ( in @ SY694 @ SV55 ) )
| ~ ~ ! [SX3: $i] :
~ ( in @ SX3 @ SY850 ) )
| ~ ! [SY853: $i] :
~ ~ ! [SY854: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY853 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY854 @ SY850 ) )
| ~ ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( in @ SX5 @ SY853 )
| ~ ( in @ SX5 @ SY850 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY853 ) )
| ( in @ SY854 @ SY856 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[378]) ).
thf(454,plain,
! [SV56: $i,SV118: $i,SV138: $i] :
( ( ~ ( in @ SV138 @ SV118 )
| ( in @ SV138 @ ( setadjoin @ SV56 @ SV118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(455,plain,
! [SV57: $i] :
( ( ( ! [SY703: $i] :
~ ( in @ SY703 @ SV57 ) )
= $false )
| ( ( SV57 = emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(456,plain,
! [SV58: $i] :
( ( ( SV58 != emptyset )
= $false )
| ( ( ~ ! [SY704: $i] :
~ ( in @ SY704 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(457,plain,
! [SV59: $i] :
( ( ( in @ SV59 @ omega )
= $false )
| ( ( in @ ( setadjoin @ SV59 @ SV59 ) @ omega )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(458,plain,
! [SV60: $i] :
( ( ( in @ SV60 @ emptyset )
= $false )
| ( ( ! [SX1: $o] : SX1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(459,plain,
! [SV119: $i > $o,SV61: $i] :
( ( ( ~ ~ ! [SY816: $i] :
~ ~ ( ~ ( in @ SY816 @ SV61 )
| ~ ( SV119 @ SY816 ) ) )
= $true )
| ( ( ( ( dsetconstr @ SV61
@ ^ [SY817: $i] : ( SV119 @ SY817 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(460,plain,
! [SV120: $i > $o,SV62: $i,SV139: $i] :
( ( ~ ( in @ SV139 @ SV62 )
| ~ ( ~ ( ~ ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY819: $i] : ( SV120 @ SY819 ) ) )
| ( SV120 @ SV139 ) )
| ~ ( ~ ( SV120 @ SV139 )
| ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY820: $i] : ( SV120 @ SY820 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(461,plain,
! [SV63: $i] :
( ( ( SV63 != emptyset )
= $false )
| ( ( ~ ! [SY713: $i] :
~ ~ ( ~ ( in @ SY713 @ SV63 )
| ~ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(462,plain,
! [SV121: $i,SV64: $i,SV140: $i] :
( ( ~ ( in @ SV140 @ ( setadjoin @ SV64 @ SV121 ) )
| ( SV140 = SV64 )
| ( in @ SV140 @ SV121 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(463,plain,
! [SV65: $i > $o] :
( ( ( ~ ! [SY716: $i] :
~ ! [SY717: $i] :
~ ( ~ ( ~ ( SV65 @ SY717 )
| ( SY717 = SY716 ) )
| ~ ( ( SY717 != SY716 )
| ( SV65 @ SY717 ) ) ) )
= $false )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(464,plain,
! [SV122: $i,SV66: $i] :
( ( ( SV66 != SV122 )
= $true )
| ( ( in @ SV66 @ ( setadjoin @ SV122 @ emptyset ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(465,plain,
! [SV67: $i > $i > $o,SV123: $i] :
( ( ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ SV123 )
| ~ ! [SY723: $i] :
~ ~ ( ~ ( SV67 @ SY822 @ SY723 )
| ~ ! [SY724: $i] :
( ~ ( SV67 @ SY822 @ SY724 )
| ( SY723 = SY724 ) ) ) ) )
= $true )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(466,plain,
! [SV68: $i] :
( ( ( ~ ! [SY729: $i] :
~ ( in @ SY729 @ SV68 ) )
= $false )
| ( ( SV68 != emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(467,plain,
! [SV124: $i,SV69: $i] :
( ( ( ~ ( in @ SV69 @ ( setadjoin @ SV124 @ emptyset ) ) )
= $true )
| ( ( SV69 = SV124 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(468,plain,
! [SV70: $i] :
( ( ( ~ ( ~ ( in @ emptyset @ SV70 )
| ~ ! [SY731: $i] :
( ~ ~ ( ~ ( in @ SY731 @ omega )
| ~ ( in @ SY731 @ SV70 ) )
| ( in @ ( setadjoin @ SY731 @ SY731 ) @ SV70 ) ) ) )
= $false )
| ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(469,plain,
! [SV71: $i > $o] :
( ( ( ~ ! [SY733: $i] :
~ ~ ( ~ ( SV71 @ SY733 )
| ~ ! [SY734: $i] :
( ~ ( SV71 @ SY734 )
| ( SY733 = SY734 ) ) ) )
= $false )
| ( ( ~ ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(470,plain,
( ( ! [SY860: $i] :
( ~ ( subset @ sK1_SX0 @ sK3_SY829 )
| ~ ~ ( in @ SY860 @ sK3_SY829 )
| ~ ( in @ SY860 @ sK1_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[395]) ).
thf(471,plain,
! [SV125: $i > $o,SV72: $i,SV141: $i] :
( ( ~ ( in @ SV141 @ SV72 )
| ~ ( SV125 @ SV141 )
| ( ( dsetconstr @ SV72
@ ^ [SY832: $i] : ( SV125 @ SY832 ) )
!= emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(472,plain,
! [SV126: $i,SV73: $i] :
( ( ( ~ ( in @ SV73 @ ( setadjoin @ SV126 @ emptyset ) ) )
= $true )
| ( ( in @ SV126 @ ( setadjoin @ SV73 @ emptyset ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(473,plain,
! [SV74: $i] :
( ( ( ! [SY741: $i] :
~ ( in @ SY741 @ SV74 ) )
= $false )
| ( ( SV74 = emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(474,plain,
! [SV75: $i > $o] :
( ( ( ~ ! [SY742: $i] :
~ ~ ( ~ ( SV75 @ SY742 )
| ~ ! [SY743: $i] :
( ~ ( SV75 @ SY743 )
| ( SY742 = SY743 ) ) ) )
= $false )
| ( ( ! [SY744: $i,SY745: $i] :
( ~ ( SV75 @ SY744 )
| ~ ( SV75 @ SY745 )
| ( SY744 = SY745 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(475,plain,
! [SV127: $i,SV76: $i] :
( ( ( SV76 != SV127 )
= $true )
| ( ( ! [SY833: $i,SY834: $i] :
( ( SY833 != SY834 )
| ~ ( ~ ( ~ ( in @ SY833 @ SV76 )
| ( in @ SY834 @ SV127 ) )
| ~ ( ~ ( in @ SY834 @ SV127 )
| ( in @ SY833 @ SV76 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(476,plain,
! [SV128: $i,SV77: $i] :
( ( ( SV77 != SV128 )
= $true )
| ( ( ! [SY835: $i,SY836: $i] :
( ( SY835 != SY836 )
| ~ ( in @ SY835 @ SV77 )
| ( in @ SY836 @ SV128 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(477,plain,
! [SV81: $i > $o,SV10: $i] :
( ( ( ~ ! [SY752: $i] :
( ~ ( in @ SY752 @ SV10 )
| ( SV81 @ SY752 ) ) )
= $false )
| ( ( ~ ! [SY753: $i] :
~ ~ ( ~ ( in @ SY753 @ SV10 )
| ~ ~ ( SV81 @ SY753 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(478,plain,
! [SV12: $i > $o] :
( ( ( ! [SY562: $i] :
~ ~ ( ~ ( SV12 @ SY562 )
| ~ ! [SY563: $i] :
( ~ ( SV12 @ SY563 )
| ( SY562 = SY563 ) ) ) )
= $true )
| ( ( ! [SY564: $i,SY565: $i] :
( ~ ( SV12 @ SY564 )
| ~ ( SV12 @ SY565 )
| ( SY564 = SY565 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[404]) ).
thf(479,plain,
! [SV82: $i > $o,SV13: $i] :
( ( ( ! [SY754: $i] :
( ~ ( in @ SY754 @ SV13 )
| ~ ( SV82 @ SY754 ) ) )
= $false )
| ( ( ~ ~ ! [SY755: $i] :
~ ~ ( ~ ( in @ SY755 @ SV13 )
| ~ ( SV82 @ SY755 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(480,plain,
! [SV83: $i,SV14: $i] :
( ( ( SV14 = SV83 )
= $false )
| ( ( ! [SY756: $i,SY757: $i] :
( ( SY756 != SY757 )
| ( ( setadjoin @ SV14 @ SY756 )
= ( setadjoin @ SV83 @ SY757 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(481,plain,
! [SV15: $i,SV84: $i] :
( ( ~ ( ~ ( in @ SV84 @ ( setunion @ SV15 ) )
| ~ ! [SY758: $i] :
~ ~ ( ~ ( in @ SV84 @ SY758 )
| ~ ( in @ SY758 @ SV15 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(482,plain,
! [SV15: $i,SV84: $i] :
( ( ~ ( ~ ~ ! [SY759: $i] :
~ ~ ( ~ ( in @ SV84 @ SY759 )
| ~ ( in @ SY759 @ SV15 ) )
| ( in @ SV84 @ ( setunion @ SV15 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(483,plain,
! [SV85: $i,SV16: $i] :
( ( ( SV16 = SV85 )
= $false )
| ( ( ( setunion @ SV16 )
= ( setunion @ SV85 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(484,plain,
! [SV86: $i,SV17: $i] :
( ( ( SV17 = SV86 )
= $false )
| ( ( subset @ SV86 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(485,plain,
! [SV18: $i > $o] :
( ( ( ! [SY577: $i] :
~ ~ ( ~ ( SV18 @ SY577 )
| ~ ! [SY578: $i] :
( ~ ( SV18 @ SY578 )
| ( SY577 = SY578 ) ) ) )
= $true )
| ( ( ~ ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(486,plain,
! [SV87: $i,SV19: $i] :
( ( ( SV19 != SV87 )
= $false )
| ( ( ~ ( in @ SV87 @ ( setadjoin @ SV19 @ emptyset ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(487,plain,
! [SV88: $i > $o,SV20: $i] :
( ( ( ~ ! [SY760: $i] :
~ ~ ( ~ ( in @ SY760 @ SV20 )
| ~ ~ ( SV88 @ SY760 ) ) )
= $false )
| ( ( ~ ! [SY761: $i] :
( ~ ( in @ SY761 @ SV20 )
| ( SV88 @ SY761 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(488,plain,
! [SV89: $i > $o,SV21: $i] :
( ( ( ~ ~ ! [SY762: $i] :
~ ~ ( ~ ( in @ SY762 @ SV21 )
| ~ ( SV89 @ SY762 ) ) )
= $false )
| ( ( ! [SY763: $i] :
( ~ ( in @ SY763 @ SV21 )
| ~ ( SV89 @ SY763 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(489,plain,
! [SV22: $i] :
( ( ( ! [SY587: $i] :
~ ( in @ SY587 @ SV22 ) )
= $true )
| ( ( ~ ! [SY588: $i] :
~ ~ ( ~ ( in @ SY588 @ SV22 )
| ~ ~ ~ ! [SY589: $i] :
~ ~ ( ~ ( in @ SY589 @ SY588 )
| ~ ( in @ SY589 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(490,plain,
! [SV23: $o,SV90: $i] :
( ( ( in @ SV90 @ ( prop2set @ SV23 ) )
= $false )
| ( SV23 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(491,plain,
! [SV91: $i] :
( ( ( in @ SV91 @ ( prop2set @ $true ) )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(492,plain,
! [SV92: $i] :
( ( ( in @ SV92 @ ( prop2set @ $false ) )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(493,plain,
! [SV93: $i > $o,SV24: $i,SV129: $i] :
( ( ( ~ ( in @ SV129
@ ( dsetconstr @ SV24
@ ^ [SY765: $i] : ( SV93 @ SY765 ) ) ) )
= $true )
| ( ( in @ SV129 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(494,plain,
! [SV25: $i > $o,SV94: $i] :
( ( ( in @ SV94 @ emptyset )
= $false )
| ( ( SV25 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(495,plain,
! [SV95: $i > $o,SV26: $i,SV130: $i] :
( ( ( ~ ( in @ SV130 @ SV26 ) )
= $true )
| ( ( ~ ( SV95 @ SV130 )
| ( in @ SV130
@ ( dsetconstr @ SV26
@ ^ [SY767: $i] : ( SV95 @ SY767 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(496,plain,
! [SV96: $i,SV27: $i,SV131: $i] :
( ( ~ ( ~ ( in @ SV131 @ ( setadjoin @ SV27 @ SV96 ) )
| ( SV131 = SV27 )
| ( in @ SV131 @ SV96 ) )
| ~ ( ~ ( ( SV131 = SV27 )
| ( in @ SV131 @ SV96 ) )
| ( in @ SV131 @ ( setadjoin @ SV27 @ SV96 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(497,plain,
! [SV97: $i,SV29: $i] :
( ( ( SV29 = SV97 )
= $false )
| ( ( subset @ SV29 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(498,plain,
! [SV98: $i,SV30: $i] :
( ( ( ! [SY769: $i] :
( ~ ( in @ SY769 @ SV30 )
| ( in @ SY769 @ SV98 ) ) )
= $false )
| ( ( ~ ! [SY770: $i] :
( ~ ( in @ SY770 @ SV98 )
| ( in @ SY770 @ SV30 ) )
| ( SV30 = SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(499,plain,
! [SV31: $i > $o] :
( ( ( ! [SY604: $i] :
~ ~ ( ~ ( SV31 @ SY604 )
| ~ ! [SY605: $i] :
( ~ ( SV31 @ SY605 )
| ( SY604 = SY605 ) ) ) )
= $true )
| ( ( ~ ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(500,plain,
! [SV99: $i,SV32: $i] :
( ( ( SV32 = SV99 )
= $false )
| ( ( ( powerset @ SV32 )
= ( powerset @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(501,plain,
! [SV33: $i > $o] :
( ( ( ! [SY609: $i] :
~ ~ ( ~ ( SV33 @ SY609 )
| ~ ! [SY610: $i] :
( ~ ( SV33 @ SY610 )
| ( SY609 = SY610 ) ) ) )
= $true )
| ( ( SV33
@ ( descr
@ ^ [SY611: $i] : ( SV33 @ SY611 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(502,plain,
! [SV100: $i,SV34: $i] :
( ( ( ! [SY771: $i] :
~ ( ~ ( ~ ( in @ SY771 @ SV34 )
| ( in @ SY771 @ SV100 ) )
| ~ ( ~ ( in @ SY771 @ SV100 )
| ( in @ SY771 @ SV34 ) ) ) )
= $false )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(503,plain,
! [SV101: $i > $o,SV35: $i] :
( ( ( ~ ~ ! [SY772: $i] :
~ ~ ( ~ ( in @ SY772 @ SV35 )
| ~ ( SV101 @ SY772 ) ) )
= $false )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV35 )
| ~ ( SV101 @ SY773 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(504,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ! [SY774: $i,SY775: $i] :
( ( SY774 != SY775 )
| ~ ( ~ ( ~ ( SV36 @ SY774 )
| ( SV102 @ SY775 ) )
| ~ ( ~ ( SV102 @ SY775 )
| ( SV36 @ SY774 ) ) ) ) )
= $false )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(505,plain,
! [SV37: $i,SV103: $i] :
( ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false )
| ( ( ! [SY782: $o] :
( ~ ! [SY783: $i] :
( ~ ( in @ SV103 @ SY783 )
| ~ ( in @ SY783 @ SV37 )
| SY782 )
| SY782 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(506,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY784: $i,SY785: $i] :
( ( SY784 != SY785 )
| ~ ( ~ ( ~ ( SV38 @ SY784 )
| ( SV104 @ SY785 ) )
| ~ ( ~ ( SV104 @ SY785 )
| ( SV38 @ SY784 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(507,plain,
! [SV39: $i,SV105: $i] :
( ( ~ ( ~ ( in @ SV105 @ ( powerset @ SV39 ) )
| ! [SY794: $i] :
( ~ ( in @ SY794 @ SV105 )
| ( in @ SY794 @ SV39 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[435]) ).
thf(508,plain,
! [SV39: $i,SV105: $i] :
( ( ~ ( ~ ! [SY795: $i] :
( ~ ( in @ SY795 @ SV105 )
| ( in @ SY795 @ SV39 ) )
| ( in @ SV105 @ ( powerset @ SV39 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[435]) ).
thf(509,plain,
! [SV106: $i,SV40: $i] :
( ( ( ! [SY796: $i] :
( ~ ( in @ SY796 @ SV40 )
| ( in @ SY796 @ SV106 ) ) )
= $false )
| ( ( subset @ SV40 @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(510,plain,
! [SV41: $i,SV107: $i] :
( ( ( ! [SY797: $i] :
( ~ ( in @ SY797 @ SV107 )
| ( in @ SY797 @ SV41 ) ) )
= $false )
| ( ( in @ SV107 @ ( powerset @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(511,plain,
! [SV43: $i > $o] :
( ( ( ! [SY647: $i] :
~ ( SV43 @ SY647 ) )
= $true )
| ( ( ~ ! [SY648: $i,SY649: $i] :
( ~ ( SV43 @ SY648 )
| ~ ( SV43 @ SY649 )
| ( SY648 = SY649 ) )
| ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(512,plain,
! [SV132: $i,SV44: $i,SV108: $i] :
( ( ( ~ ( in @ SV108 @ ( powerset @ SV44 ) ) )
= $true )
| ( ( ~ ( in @ SV132 @ SV108 )
| ( in @ SV132 @ SV44 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(513,plain,
! [SV109: $i > $o,SV45: $i] :
( ( ( ~ ! [SY799: $i] :
( ~ ( in @ SY799 @ SV45 )
| ( SV109 @ SY799 ) ) )
= $false )
| ( ( ~ ! [SY800: $i] :
~ ~ ( ~ ( in @ SY800 @ SV45 )
| ~ ~ ( SV109 @ SY800 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(514,plain,
! [SV46: $i,SV133: $i,SV110: $i] :
( ( ( ~ ( in @ SV110 @ SV133 ) )
= $true )
| ( ( ~ ( in @ SV133 @ SV46 )
| ( in @ SV110 @ ( setunion @ SV46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(515,plain,
! [SV47: $i > $o] :
( ( ( ! [SY659: $i] :
~ ~ ( ~ ( SV47 @ SY659 )
| ~ ! [SY660: $i] :
( ~ ( SV47 @ SY660 )
| ( SY659 = SY660 ) ) ) )
= $true )
| ( ( ~ ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(516,plain,
! [SV111: $i > $o,SV48: $i,SV134: $i] :
( ( ( ~ ( in @ SV134
@ ( dsetconstr @ SV48
@ ^ [SY803: $i] : ( SV111 @ SY803 ) ) ) )
= $true )
| ( ( SV111 @ SV134 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(517,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) ) )
= $true )
| ( ( ! [SY840: $o] :
( ~ ( ( SV135 != SV49 )
| SY840 )
| ~ ( ~ ( in @ SV135 @ SV112 )
| SY840 )
| SY840 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(518,plain,
! [SV113: $i,SV50: $i] :
( ( ( ! [SY806: $i] :
( ~ ( in @ SY806 @ SV50 )
| ( in @ SY806 @ SV113 ) ) )
= $false )
| ( ( subset @ SV50 @ SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(519,plain,
! [SV114: $i,SV51: $i] :
( ( ( SV51 = SV114 )
= $false )
| ( ( ! [SY807: $i > $o,SY808: $i > $o] :
( ~ ! [SY809: $i] :
( ~ ( in @ SY809 @ SV51 )
| ! [SY810: $i] :
( ~ ( in @ SY810 @ SV114 )
| ( SY809 != SY810 )
| ~ ( ~ ( ~ ( SY807 @ SY809 )
| ( SY808 @ SY810 ) )
| ~ ( ~ ( SY808 @ SY810 )
| ( SY807 @ SY809 ) ) ) ) )
| ( ( dsetconstr @ SV51
@ ^ [SX4: $i] : ( SY807 @ SX4 ) )
= ( dsetconstr @ SV114
@ ^ [SX4: $i] : ( SY808 @ SX4 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(520,plain,
! [SV115: $i,SV52: $i,SV136: $i] :
( ( ( ~ ( in @ SV136 @ ( setadjoin @ SV52 @ ( setadjoin @ SV115 @ emptyset ) ) ) )
= $true )
| ( ( ( SV136 = SV52 )
| ( SV136 = SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(521,plain,
! [SV53: $i,SV116: $i] :
( ( ( in @ SV116 @ SV53 )
= $false )
| ( ( in @ SV116 @ ( powerset @ ( setunion @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(522,plain,
! [SV137: $i,SV117: $i,SV54: $i] :
( ( ( ~ ( subset @ SV54 @ SV117 ) )
= $true )
| ( ( ~ ( in @ SV137 @ SV54 )
| ( in @ SV137 @ SV117 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(523,plain,
! [SV55: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY841: $i] :
( ~ ( in @ SY841 @ ( sK2_SY683 @ SV55 ) )
| ! [SY685: $i] :
( ~ ( in @ SY685 @ SY841 )
| ( in @ SY685 @ SV55 ) ) )
| ~ ! [SY843: $i,SY844: $i] :
( ~ ~ ( ~ ( in @ SY843 @ SV55 )
| ~ ( in @ SY844 @ SV55 ) )
| ~ ! [SY845: $i] :
( ~ ( in @ SY845 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SY843 @ SY845 )
| ( in @ SY844 @ SY845 ) )
| ~ ( ~ ( in @ SY844 @ SY845 )
| ( in @ SY843 @ SY845 ) ) ) )
| ( SY843 = SY844 ) ) )
| ~ ! [SY846: $i,SY847: $i] :
( ~ ~ ( ~ ( in @ SY846 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY847 @ ( sK2_SY683 @ SV55 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY846 )
| ( in @ SX4 @ SY847 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY847 )
| ( in @ SX4 @ SY846 ) ) ) )
| ~ ! [SY850: $i] :
( ~ ~ ( ~ ! [SY694: $i] :
( ~ ( in @ SY694 @ SY850 )
| ( in @ SY694 @ SV55 ) )
| ~ ~ ! [SX3: $i] :
~ ( in @ SX3 @ SY850 ) )
| ~ ! [SY853: $i] :
~ ~ ! [SY854: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY853 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY854 @ SY850 ) )
| ~ ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( in @ SX5 @ SY853 )
| ~ ( in @ SX5 @ SY850 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY853 ) )
| ( in @ SY854 @ SY856 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(524,plain,
! [SV56: $i,SV118: $i,SV138: $i] :
( ( ( ~ ( in @ SV138 @ SV118 ) )
= $true )
| ( ( in @ SV138 @ ( setadjoin @ SV56 @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(525,plain,
! [SV57: $i] :
( ( ( ~ ( in @ ( sK4_SY703 @ SV57 ) @ SV57 ) )
= $false )
| ( ( SV57 = emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[455]) ).
thf(526,plain,
! [SV58: $i] :
( ( ( SV58 = emptyset )
= $true )
| ( ( ~ ! [SY704: $i] :
~ ( in @ SY704 @ SV58 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[456]) ).
thf(527,plain,
! [SV60: $i,SV142: $o] :
( ( SV142 = $true )
| ( ( in @ SV60 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[458]) ).
thf(528,plain,
! [SV60: $i] :
( ( $true = $true )
| ( ( in @ SV60 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[458]) ).
thf(529,plain,
! [SV60: $i] :
( ( $false = $true )
| ( ( in @ SV60 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[458]) ).
thf(530,plain,
! [SV119: $i > $o,SV61: $i] :
( ( ( ~ ! [SY816: $i] :
~ ~ ( ~ ( in @ SY816 @ SV61 )
| ~ ( SV119 @ SY816 ) ) )
= $false )
| ( ( ( ( dsetconstr @ SV61
@ ^ [SY817: $i] : ( SV119 @ SY817 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(531,plain,
! [SV120: $i > $o,SV62: $i,SV139: $i] :
( ( ( ~ ( in @ SV139 @ SV62 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY819: $i] : ( SV120 @ SY819 ) ) )
| ( SV120 @ SV139 ) )
| ~ ( ~ ( SV120 @ SV139 )
| ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY820: $i] : ( SV120 @ SY820 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(532,plain,
! [SV63: $i] :
( ( ( SV63 = emptyset )
= $true )
| ( ( ~ ! [SY713: $i] :
~ ~ ( ~ ( in @ SY713 @ SV63 )
| ~ $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(533,plain,
! [SV121: $i,SV64: $i,SV140: $i] :
( ( ( ~ ( in @ SV140 @ ( setadjoin @ SV64 @ SV121 ) ) )
= $true )
| ( ( ( SV140 = SV64 )
| ( in @ SV140 @ SV121 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(534,plain,
! [SV65: $i > $o] :
( ( ( ! [SY716: $i] :
~ ! [SY717: $i] :
~ ( ~ ( ~ ( SV65 @ SY717 )
| ( SY717 = SY716 ) )
| ~ ( ( SY717 != SY716 )
| ( SV65 @ SY717 ) ) ) )
= $true )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(535,plain,
! [SV122: $i,SV66: $i] :
( ( ( SV66 = SV122 )
= $false )
| ( ( in @ SV66 @ ( setadjoin @ SV122 @ emptyset ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(536,plain,
! [SV67: $i > $i > $o,SV123: $i] :
( ( ( ! [SY822: $i] :
( ~ ( in @ SY822 @ SV123 )
| ~ ! [SY723: $i] :
~ ~ ( ~ ( SV67 @ SY822 @ SY723 )
| ~ ! [SY724: $i] :
( ~ ( SV67 @ SY822 @ SY724 )
| ( SY723 = SY724 ) ) ) ) )
= $false )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(537,plain,
! [SV68: $i] :
( ( ( ! [SY729: $i] :
~ ( in @ SY729 @ SV68 ) )
= $true )
| ( ( SV68 != emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(538,plain,
! [SV124: $i,SV69: $i] :
( ( ( in @ SV69 @ ( setadjoin @ SV124 @ emptyset ) )
= $false )
| ( ( SV69 = SV124 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(539,plain,
! [SV70: $i] :
( ( ( ~ ( in @ emptyset @ SV70 )
| ~ ! [SY731: $i] :
( ~ ~ ( ~ ( in @ SY731 @ omega )
| ~ ( in @ SY731 @ SV70 ) )
| ( in @ ( setadjoin @ SY731 @ SY731 ) @ SV70 ) ) )
= $true )
| ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(540,plain,
! [SV71: $i > $o] :
( ( ( ! [SY733: $i] :
~ ~ ( ~ ( SV71 @ SY733 )
| ~ ! [SY734: $i] :
( ~ ( SV71 @ SY734 )
| ( SY733 = SY734 ) ) ) )
= $true )
| ( ( ~ ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(541,plain,
( ( ~ ( subset @ sK1_SX0 @ sK3_SY829 )
| ~ ~ ( in @ sK5_SY860 @ sK3_SY829 )
| ~ ( in @ sK5_SY860 @ sK1_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[470]) ).
thf(542,plain,
! [SV125: $i > $o,SV72: $i,SV141: $i] :
( ( ( ~ ( in @ SV141 @ SV72 ) )
= $true )
| ( ( ~ ( SV125 @ SV141 )
| ( ( dsetconstr @ SV72
@ ^ [SY832: $i] : ( SV125 @ SY832 ) )
!= emptyset ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(543,plain,
! [SV126: $i,SV73: $i] :
( ( ( in @ SV73 @ ( setadjoin @ SV126 @ emptyset ) )
= $false )
| ( ( in @ SV126 @ ( setadjoin @ SV73 @ emptyset ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(544,plain,
! [SV74: $i] :
( ( ( ~ ( in @ ( sK6_SY741 @ SV74 ) @ SV74 ) )
= $false )
| ( ( SV74 = emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[473]) ).
thf(545,plain,
! [SV75: $i > $o] :
( ( ( ! [SY742: $i] :
~ ~ ( ~ ( SV75 @ SY742 )
| ~ ! [SY743: $i] :
( ~ ( SV75 @ SY743 )
| ( SY742 = SY743 ) ) ) )
= $true )
| ( ( ! [SY744: $i,SY745: $i] :
( ~ ( SV75 @ SY744 )
| ~ ( SV75 @ SY745 )
| ( SY744 = SY745 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(546,plain,
! [SV127: $i,SV76: $i] :
( ( ( SV76 = SV127 )
= $false )
| ( ( ! [SY833: $i,SY834: $i] :
( ( SY833 != SY834 )
| ~ ( ~ ( ~ ( in @ SY833 @ SV76 )
| ( in @ SY834 @ SV127 ) )
| ~ ( ~ ( in @ SY834 @ SV127 )
| ( in @ SY833 @ SV76 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(547,plain,
! [SV128: $i,SV77: $i] :
( ( ( SV77 = SV128 )
= $false )
| ( ( ! [SY835: $i,SY836: $i] :
( ( SY835 != SY836 )
| ~ ( in @ SY835 @ SV77 )
| ( in @ SY836 @ SV128 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(548,plain,
! [SV81: $i > $o,SV10: $i] :
( ( ( ! [SY752: $i] :
( ~ ( in @ SY752 @ SV10 )
| ( SV81 @ SY752 ) ) )
= $true )
| ( ( ~ ! [SY753: $i] :
~ ~ ( ~ ( in @ SY753 @ SV10 )
| ~ ~ ( SV81 @ SY753 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(549,plain,
! [SV143: $i,SV12: $i > $o] :
( ( ( ~ ~ ( ~ ( SV12 @ SV143 )
| ~ ! [SY862: $i] :
( ~ ( SV12 @ SY862 )
| ( SV143 = SY862 ) ) ) )
= $true )
| ( ( ! [SY564: $i,SY565: $i] :
( ~ ( SV12 @ SY564 )
| ~ ( SV12 @ SY565 )
| ( SY564 = SY565 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(550,plain,
! [SV13: $i,SV82: $i > $o] :
( ( ( ~ ( in @ ( sK7_SY754 @ SV82 @ SV13 ) @ SV13 )
| ~ ( SV82 @ ( sK7_SY754 @ SV82 @ SV13 ) ) )
= $false )
| ( ( ~ ~ ! [SY755: $i] :
~ ~ ( ~ ( in @ SY755 @ SV13 )
| ~ ( SV82 @ SY755 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[479]) ).
thf(551,plain,
! [SV83: $i,SV14: $i,SV144: $i] :
( ( ( ! [SY863: $i] :
( ( SV144 != SY863 )
| ( ( setadjoin @ SV14 @ SV144 )
= ( setadjoin @ SV83 @ SY863 ) ) ) )
= $true )
| ( ( SV14 = SV83 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(552,plain,
! [SV15: $i,SV84: $i] :
( ( ~ ( in @ SV84 @ ( setunion @ SV15 ) )
| ~ ! [SY758: $i] :
~ ~ ( ~ ( in @ SV84 @ SY758 )
| ~ ( in @ SY758 @ SV15 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(553,plain,
! [SV15: $i,SV84: $i] :
( ( ~ ~ ! [SY759: $i] :
~ ~ ( ~ ( in @ SV84 @ SY759 )
| ~ ( in @ SY759 @ SV15 ) )
| ( in @ SV84 @ ( setunion @ SV15 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(554,plain,
! [SV145: $i,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ SV145 )
| ~ ! [SY864: $i] :
( ~ ( SV18 @ SY864 )
| ( SV145 = SY864 ) ) ) )
= $true )
| ( ( ~ ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(555,plain,
! [SV87: $i,SV19: $i] :
( ( ( SV19 = SV87 )
= $true )
| ( ( ~ ( in @ SV87 @ ( setadjoin @ SV19 @ emptyset ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[486]) ).
thf(556,plain,
! [SV88: $i > $o,SV20: $i] :
( ( ( ! [SY760: $i] :
~ ~ ( ~ ( in @ SY760 @ SV20 )
| ~ ~ ( SV88 @ SY760 ) ) )
= $true )
| ( ( ~ ! [SY761: $i] :
( ~ ( in @ SY761 @ SV20 )
| ( SV88 @ SY761 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(557,plain,
! [SV89: $i > $o,SV21: $i] :
( ( ( ~ ! [SY762: $i] :
~ ~ ( ~ ( in @ SY762 @ SV21 )
| ~ ( SV89 @ SY762 ) ) )
= $true )
| ( ( ! [SY763: $i] :
( ~ ( in @ SY763 @ SV21 )
| ~ ( SV89 @ SY763 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(558,plain,
! [SV22: $i,SV146: $i] :
( ( ( ~ ( in @ SV146 @ SV22 ) )
= $true )
| ( ( ~ ! [SY588: $i] :
~ ~ ( ~ ( in @ SY588 @ SV22 )
| ~ ~ ~ ! [SY589: $i] :
~ ~ ( ~ ( in @ SY589 @ SY588 )
| ~ ( in @ SY589 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(559,plain,
! [SV93: $i > $o,SV24: $i,SV129: $i] :
( ( ( in @ SV129
@ ( dsetconstr @ SV24
@ ^ [SY765: $i] : ( SV93 @ SY765 ) ) )
= $false )
| ( ( in @ SV129 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(560,plain,
! [SV95: $i > $o,SV26: $i,SV130: $i] :
( ( ( in @ SV130 @ SV26 )
= $false )
| ( ( ~ ( SV95 @ SV130 )
| ( in @ SV130
@ ( dsetconstr @ SV26
@ ^ [SY767: $i] : ( SV95 @ SY767 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(561,plain,
! [SV96: $i,SV27: $i,SV131: $i] :
( ( ~ ( ~ ( in @ SV131 @ ( setadjoin @ SV27 @ SV96 ) )
| ( SV131 = SV27 )
| ( in @ SV131 @ SV96 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(562,plain,
! [SV96: $i,SV27: $i,SV131: $i] :
( ( ~ ( ~ ( ( SV131 = SV27 )
| ( in @ SV131 @ SV96 ) )
| ( in @ SV131 @ ( setadjoin @ SV27 @ SV96 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(563,plain,
! [SV30: $i,SV98: $i] :
( ( ( ~ ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV30 )
| ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV98 ) )
= $false )
| ( ( ~ ! [SY770: $i] :
( ~ ( in @ SY770 @ SV98 )
| ( in @ SY770 @ SV30 ) )
| ( SV30 = SV98 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[498]) ).
thf(564,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ~ ( ~ ( SV31 @ SV147 )
| ~ ! [SY865: $i] :
( ~ ( SV31 @ SY865 )
| ( SV147 = SY865 ) ) ) )
= $true )
| ( ( ~ ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(565,plain,
! [SV148: $i,SV33: $i > $o] :
( ( ( ~ ~ ( ~ ( SV33 @ SV148 )
| ~ ! [SY866: $i] :
( ~ ( SV33 @ SY866 )
| ( SV148 = SY866 ) ) ) )
= $true )
| ( ( SV33
@ ( descr
@ ^ [SY611: $i] : ( SV33 @ SY611 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(566,plain,
! [SV34: $i,SV100: $i] :
( ( ( ~ ( ~ ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 )
| ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 ) )
| ~ ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
| ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 ) ) ) )
= $false )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[502]) ).
thf(567,plain,
! [SV101: $i > $o,SV35: $i] :
( ( ( ~ ! [SY772: $i] :
~ ~ ( ~ ( in @ SY772 @ SV35 )
| ~ ( SV101 @ SY772 ) ) )
= $true )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV35 )
| ~ ( SV101 @ SY773 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(568,plain,
! [SV36: $i > $o,SV102: $i > $o] :
( ( ( ! [SY867: $i] :
( ( ( sK10_SY774 @ SV102 @ SV36 )
!= SY867 )
| ~ ( ~ ( ~ ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
| ( SV102 @ SY867 ) )
| ~ ( ~ ( SV102 @ SY867 )
| ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) ) ) ) ) )
= $false )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[504]) ).
thf(569,plain,
! [SV149: $o,SV37: $i,SV103: $i] :
( ( ( ~ ! [SY868: $i] :
( ~ ( in @ SV103 @ SY868 )
| ~ ( in @ SY868 @ SV37 )
| SV149 )
| SV149 )
= $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[505]) ).
thf(570,plain,
! [SV37: $i,SV103: $i] :
( ( ( ~ ! [SX0: $i] :
( ~ ( in @ SV103 @ SX0 )
| ~ ( in @ SX0 @ SV37 )
| $true )
| $true )
= $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[505]) ).
thf(571,plain,
! [SV37: $i,SV103: $i] :
( ( ( ~ ! [SX0: $i] :
( ~ ( in @ SV103 @ SX0 )
| ~ ( in @ SX0 @ SV37 )
| $false )
| $false )
= $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[505]) ).
thf(572,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY869: $i] :
( ( ( sK11_SY784 @ SV104 @ SV38 )
!= SY869 )
| ~ ( ~ ( ~ ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
| ( SV104 @ SY869 ) )
| ~ ( ~ ( SV104 @ SY869 )
| ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[506]) ).
thf(573,plain,
! [SV39: $i,SV105: $i] :
( ( ~ ( in @ SV105 @ ( powerset @ SV39 ) )
| ! [SY794: $i] :
( ~ ( in @ SY794 @ SV105 )
| ( in @ SY794 @ SV39 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(574,plain,
! [SV39: $i,SV105: $i] :
( ( ~ ! [SY795: $i] :
( ~ ( in @ SY795 @ SV105 )
| ( in @ SY795 @ SV39 ) )
| ( in @ SV105 @ ( powerset @ SV39 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(575,plain,
! [SV40: $i,SV106: $i] :
( ( ( ~ ( in @ ( sK12_SY796 @ SV106 @ SV40 ) @ SV40 )
| ( in @ ( sK12_SY796 @ SV106 @ SV40 ) @ SV106 ) )
= $false )
| ( ( subset @ SV40 @ SV106 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[509]) ).
thf(576,plain,
! [SV107: $i,SV41: $i] :
( ( ( ~ ( in @ ( sK13_SY797 @ SV41 @ SV107 ) @ SV107 )
| ( in @ ( sK13_SY797 @ SV41 @ SV107 ) @ SV41 ) )
= $false )
| ( ( in @ SV107 @ ( powerset @ SV41 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[510]) ).
thf(577,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ SV150 ) )
= $true )
| ( ( ~ ! [SY648: $i,SY649: $i] :
( ~ ( SV43 @ SY648 )
| ~ ( SV43 @ SY649 )
| ( SY648 = SY649 ) )
| ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(578,plain,
! [SV132: $i,SV44: $i,SV108: $i] :
( ( ( in @ SV108 @ ( powerset @ SV44 ) )
= $false )
| ( ( ~ ( in @ SV132 @ SV108 )
| ( in @ SV132 @ SV44 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(579,plain,
! [SV109: $i > $o,SV45: $i] :
( ( ( ! [SY799: $i] :
( ~ ( in @ SY799 @ SV45 )
| ( SV109 @ SY799 ) ) )
= $true )
| ( ( ~ ! [SY800: $i] :
~ ~ ( ~ ( in @ SY800 @ SV45 )
| ~ ~ ( SV109 @ SY800 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(580,plain,
! [SV46: $i,SV133: $i,SV110: $i] :
( ( ( in @ SV110 @ SV133 )
= $false )
| ( ( ~ ( in @ SV133 @ SV46 )
| ( in @ SV110 @ ( setunion @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(581,plain,
! [SV151: $i,SV47: $i > $o] :
( ( ( ~ ~ ( ~ ( SV47 @ SV151 )
| ~ ! [SY870: $i] :
( ~ ( SV47 @ SY870 )
| ( SV151 = SY870 ) ) ) )
= $true )
| ( ( ~ ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(582,plain,
! [SV111: $i > $o,SV48: $i,SV134: $i] :
( ( ( in @ SV134
@ ( dsetconstr @ SV48
@ ^ [SY803: $i] : ( SV111 @ SY803 ) ) )
= $false )
| ( ( SV111 @ SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(583,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false )
| ( ( ! [SY840: $o] :
( ~ ( ( SV135 != SV49 )
| SY840 )
| ~ ( ~ ( in @ SV135 @ SV112 )
| SY840 )
| SY840 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(584,plain,
! [SV50: $i,SV113: $i] :
( ( ( ~ ( in @ ( sK14_SY806 @ SV113 @ SV50 ) @ SV50 )
| ( in @ ( sK14_SY806 @ SV113 @ SV50 ) @ SV113 ) )
= $false )
| ( ( subset @ SV50 @ SV113 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[518]) ).
thf(585,plain,
! [SV152: $i > $o,SV114: $i,SV51: $i] :
( ( ( ! [SY871: $i > $o] :
( ~ ! [SY872: $i] :
( ~ ( in @ SY872 @ SV51 )
| ! [SY873: $i] :
( ~ ( in @ SY873 @ SV114 )
| ( SY872 != SY873 )
| ~ ( ~ ( ~ ( SV152 @ SY872 )
| ( SY871 @ SY873 ) )
| ~ ( ~ ( SY871 @ SY873 )
| ( SV152 @ SY872 ) ) ) ) )
| ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SX4: $i] : ( SY871 @ SX4 ) ) ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(586,plain,
! [SV115: $i,SV52: $i,SV136: $i] :
( ( ( in @ SV136 @ ( setadjoin @ SV52 @ ( setadjoin @ SV115 @ emptyset ) ) )
= $false )
| ( ( ( SV136 = SV52 )
| ( SV136 = SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(587,plain,
! [SV137: $i,SV117: $i,SV54: $i] :
( ( ( subset @ SV54 @ SV117 )
= $false )
| ( ( ~ ( in @ SV137 @ SV54 )
| ( in @ SV137 @ SV117 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(588,plain,
! [SV55: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY841: $i] :
( ~ ( in @ SY841 @ ( sK2_SY683 @ SV55 ) )
| ! [SY685: $i] :
( ~ ( in @ SY685 @ SY841 )
| ( in @ SY685 @ SV55 ) ) )
| ~ ! [SY843: $i,SY844: $i] :
( ~ ~ ( ~ ( in @ SY843 @ SV55 )
| ~ ( in @ SY844 @ SV55 ) )
| ~ ! [SY845: $i] :
( ~ ( in @ SY845 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SY843 @ SY845 )
| ( in @ SY844 @ SY845 ) )
| ~ ( ~ ( in @ SY844 @ SY845 )
| ( in @ SY843 @ SY845 ) ) ) )
| ( SY843 = SY844 ) ) )
| ~ ! [SY846: $i,SY847: $i] :
( ~ ~ ( ~ ( in @ SY846 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY847 @ ( sK2_SY683 @ SV55 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY846 )
| ( in @ SX4 @ SY847 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY847 )
| ( in @ SX4 @ SY846 ) ) ) )
| ~ ! [SY850: $i] :
( ~ ~ ( ~ ! [SY694: $i] :
( ~ ( in @ SY694 @ SY850 )
| ( in @ SY694 @ SV55 ) )
| ~ ~ ! [SX3: $i] :
~ ( in @ SX3 @ SY850 ) )
| ~ ! [SY853: $i] :
~ ~ ! [SY854: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY853 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY854 @ SY850 ) )
| ~ ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( in @ SX5 @ SY853 )
| ~ ( in @ SX5 @ SY850 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY853 ) )
| ( in @ SY854 @ SY856 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(589,plain,
! [SV56: $i,SV118: $i,SV138: $i] :
( ( ( in @ SV138 @ SV118 )
= $false )
| ( ( in @ SV138 @ ( setadjoin @ SV56 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(590,plain,
! [SV57: $i] :
( ( ( in @ ( sK4_SY703 @ SV57 ) @ SV57 )
= $true )
| ( ( SV57 = emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(591,plain,
! [SV58: $i] :
( ( ( ! [SY704: $i] :
~ ( in @ SY704 @ SV58 ) )
= $false )
| ( ( SV58 = emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(592,plain,
! [SV119: $i > $o,SV61: $i] :
( ( ( ! [SY816: $i] :
~ ~ ( ~ ( in @ SY816 @ SV61 )
| ~ ( SV119 @ SY816 ) ) )
= $true )
| ( ( ( ( dsetconstr @ SV61
@ ^ [SY817: $i] : ( SV119 @ SY817 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(593,plain,
! [SV120: $i > $o,SV62: $i,SV139: $i] :
( ( ( in @ SV139 @ SV62 )
= $false )
| ( ( ~ ( ~ ( ~ ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY819: $i] : ( SV120 @ SY819 ) ) )
| ( SV120 @ SV139 ) )
| ~ ( ~ ( SV120 @ SV139 )
| ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY820: $i] : ( SV120 @ SY820 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(594,plain,
! [SV63: $i] :
( ( ( ! [SY713: $i] :
~ ~ ( ~ ( in @ SY713 @ SV63 )
| ~ $true ) )
= $false )
| ( ( SV63 = emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(595,plain,
! [SV121: $i,SV64: $i,SV140: $i] :
( ( ( in @ SV140 @ ( setadjoin @ SV64 @ SV121 ) )
= $false )
| ( ( ( SV140 = SV64 )
| ( in @ SV140 @ SV121 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(596,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ! [SY876: $i] :
~ ( ~ ( ~ ( SV65 @ SY876 )
| ( SY876 = SV153 ) )
| ~ ( ( SY876 != SV153 )
| ( SV65 @ SY876 ) ) ) )
= $true )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(597,plain,
! [SV123: $i,SV67: $i > $i > $o] :
( ( ( ~ ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
| ~ ! [SY877: $i] :
~ ~ ( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SY877 )
| ~ ! [SY878: $i] :
( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SY878 )
| ( SY877 = SY878 ) ) ) )
= $false )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[536]) ).
thf(598,plain,
! [SV68: $i,SV154: $i] :
( ( ( ~ ( in @ SV154 @ SV68 ) )
= $true )
| ( ( SV68 != emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(599,plain,
! [SV70: $i] :
( ( ( ~ ( in @ emptyset @ SV70 ) )
= $true )
| ( ( ~ ! [SY731: $i] :
( ~ ~ ( ~ ( in @ SY731 @ omega )
| ~ ( in @ SY731 @ SV70 ) )
| ( in @ ( setadjoin @ SY731 @ SY731 ) @ SV70 ) ) )
= $true )
| ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(600,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ~ ( ~ ( SV71 @ SV155 )
| ~ ! [SY879: $i] :
( ~ ( SV71 @ SY879 )
| ( SV155 = SY879 ) ) ) )
= $true )
| ( ( ~ ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(601,plain,
( ( ~ ( subset @ sK1_SX0 @ sK3_SY829 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(602,plain,
( ( ~ ~ ( in @ sK5_SY860 @ sK3_SY829 )
| ~ ( in @ sK5_SY860 @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(603,plain,
! [SV125: $i > $o,SV72: $i,SV141: $i] :
( ( ( in @ SV141 @ SV72 )
= $false )
| ( ( ~ ( SV125 @ SV141 )
| ( ( dsetconstr @ SV72
@ ^ [SY832: $i] : ( SV125 @ SY832 ) )
!= emptyset ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(604,plain,
! [SV74: $i] :
( ( ( in @ ( sK6_SY741 @ SV74 ) @ SV74 )
= $true )
| ( ( SV74 = emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(605,plain,
! [SV156: $i,SV75: $i > $o] :
( ( ( ~ ~ ( ~ ( SV75 @ SV156 )
| ~ ! [SY880: $i] :
( ~ ( SV75 @ SY880 )
| ( SV156 = SY880 ) ) ) )
= $true )
| ( ( ! [SY744: $i,SY745: $i] :
( ~ ( SV75 @ SY744 )
| ~ ( SV75 @ SY745 )
| ( SY744 = SY745 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(606,plain,
! [SV127: $i,SV76: $i,SV157: $i] :
( ( ( ! [SY881: $i] :
( ( SV157 != SY881 )
| ~ ( ~ ( ~ ( in @ SV157 @ SV76 )
| ( in @ SY881 @ SV127 ) )
| ~ ( ~ ( in @ SY881 @ SV127 )
| ( in @ SV157 @ SV76 ) ) ) ) )
= $true )
| ( ( SV76 = SV127 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(607,plain,
! [SV128: $i,SV77: $i,SV158: $i] :
( ( ( ! [SY882: $i] :
( ( SV158 != SY882 )
| ~ ( in @ SV158 @ SV77 )
| ( in @ SY882 @ SV128 ) ) )
= $true )
| ( ( SV77 = SV128 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(608,plain,
! [SV81: $i > $o,SV10: $i,SV159: $i] :
( ( ( ~ ( in @ SV159 @ SV10 )
| ( SV81 @ SV159 ) )
= $true )
| ( ( ~ ! [SY753: $i] :
~ ~ ( ~ ( in @ SY753 @ SV10 )
| ~ ~ ( SV81 @ SY753 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(609,plain,
! [SV143: $i,SV12: $i > $o] :
( ( ( ~ ( ~ ( SV12 @ SV143 )
| ~ ! [SY862: $i] :
( ~ ( SV12 @ SY862 )
| ( SV143 = SY862 ) ) ) )
= $false )
| ( ( ! [SY564: $i,SY565: $i] :
( ~ ( SV12 @ SY564 )
| ~ ( SV12 @ SY565 )
| ( SY564 = SY565 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(610,plain,
! [SV13: $i,SV82: $i > $o] :
( ( ( ~ ( in @ ( sK7_SY754 @ SV82 @ SV13 ) @ SV13 ) )
= $false )
| ( ( ~ ~ ! [SY755: $i] :
~ ~ ( ~ ( in @ SY755 @ SV13 )
| ~ ( SV82 @ SY755 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(611,plain,
! [SV13: $i,SV82: $i > $o] :
( ( ( ~ ( SV82 @ ( sK7_SY754 @ SV82 @ SV13 ) ) )
= $false )
| ( ( ~ ~ ! [SY755: $i] :
~ ~ ( ~ ( in @ SY755 @ SV13 )
| ~ ( SV82 @ SY755 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(612,plain,
! [SV83: $i,SV14: $i,SV160: $i,SV144: $i] :
( ( ( ( SV144 != SV160 )
| ( ( setadjoin @ SV14 @ SV144 )
= ( setadjoin @ SV83 @ SV160 ) ) )
= $true )
| ( ( SV14 = SV83 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(613,plain,
! [SV15: $i,SV84: $i] :
( ( ( ~ ( in @ SV84 @ ( setunion @ SV15 ) ) )
= $true )
| ( ( ~ ! [SY758: $i] :
~ ~ ( ~ ( in @ SV84 @ SY758 )
| ~ ( in @ SY758 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(614,plain,
! [SV15: $i,SV84: $i] :
( ( ( ~ ~ ! [SY759: $i] :
~ ~ ( ~ ( in @ SV84 @ SY759 )
| ~ ( in @ SY759 @ SV15 ) ) )
= $true )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(615,plain,
! [SV145: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ( SV18 @ SV145 )
| ~ ! [SY864: $i] :
( ~ ( SV18 @ SY864 )
| ( SV145 = SY864 ) ) ) )
= $false )
| ( ( ~ ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(616,plain,
! [SV19: $i,SV87: $i] :
( ( ( in @ SV87 @ ( setadjoin @ SV19 @ emptyset ) )
= $false )
| ( ( SV19 = SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(617,plain,
! [SV88: $i > $o,SV20: $i,SV161: $i] :
( ( ( ~ ~ ( ~ ( in @ SV161 @ SV20 )
| ~ ~ ( SV88 @ SV161 ) ) )
= $true )
| ( ( ~ ! [SY761: $i] :
( ~ ( in @ SY761 @ SV20 )
| ( SV88 @ SY761 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(618,plain,
! [SV89: $i > $o,SV21: $i] :
( ( ( ! [SY762: $i] :
~ ~ ( ~ ( in @ SY762 @ SV21 )
| ~ ( SV89 @ SY762 ) ) )
= $false )
| ( ( ! [SY763: $i] :
( ~ ( in @ SY763 @ SV21 )
| ~ ( SV89 @ SY763 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(619,plain,
! [SV22: $i,SV146: $i] :
( ( ( in @ SV146 @ SV22 )
= $false )
| ( ( ~ ! [SY588: $i] :
~ ~ ( ~ ( in @ SY588 @ SV22 )
| ~ ~ ~ ! [SY589: $i] :
~ ~ ( ~ ( in @ SY589 @ SY588 )
| ~ ( in @ SY589 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(620,plain,
! [SV26: $i,SV130: $i,SV95: $i > $o] :
( ( ( ~ ( SV95 @ SV130 ) )
= $true )
| ( ( in @ SV130
@ ( dsetconstr @ SV26
@ ^ [SY767: $i] : ( SV95 @ SY767 ) ) )
= $true )
| ( ( in @ SV130 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(621,plain,
! [SV96: $i,SV27: $i,SV131: $i] :
( ( ~ ( in @ SV131 @ ( setadjoin @ SV27 @ SV96 ) )
| ( SV131 = SV27 )
| ( in @ SV131 @ SV96 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(622,plain,
! [SV96: $i,SV27: $i,SV131: $i] :
( ( ~ ( ( SV131 = SV27 )
| ( in @ SV131 @ SV96 ) )
| ( in @ SV131 @ ( setadjoin @ SV27 @ SV96 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(623,plain,
! [SV30: $i,SV98: $i] :
( ( ( ~ ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV30 ) )
= $false )
| ( ( ~ ! [SY770: $i] :
( ~ ( in @ SY770 @ SV98 )
| ( in @ SY770 @ SV30 ) )
| ( SV30 = SV98 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(624,plain,
! [SV30: $i,SV98: $i] :
( ( ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV98 )
= $false )
| ( ( ~ ! [SY770: $i] :
( ~ ( in @ SY770 @ SV98 )
| ( in @ SY770 @ SV30 ) )
| ( SV30 = SV98 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(625,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ( ~ ( SV31 @ SV147 )
| ~ ! [SY865: $i] :
( ~ ( SV31 @ SY865 )
| ( SV147 = SY865 ) ) ) )
= $false )
| ( ( ~ ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(626,plain,
! [SV148: $i,SV33: $i > $o] :
( ( ( ~ ( ~ ( SV33 @ SV148 )
| ~ ! [SY866: $i] :
( ~ ( SV33 @ SY866 )
| ( SV148 = SY866 ) ) ) )
= $false )
| ( ( SV33
@ ( descr
@ ^ [SY611: $i] : ( SV33 @ SY611 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(627,plain,
! [SV34: $i,SV100: $i] :
( ( ( ~ ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 )
| ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 ) )
| ~ ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
| ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 ) ) )
= $true )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(628,plain,
! [SV101: $i > $o,SV35: $i] :
( ( ( ! [SY772: $i] :
~ ~ ( ~ ( in @ SY772 @ SV35 )
| ~ ( SV101 @ SY772 ) ) )
= $false )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV35 )
| ~ ( SV101 @ SY773 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(629,plain,
! [SV36: $i > $o,SV102: $i > $o] :
( ( ( ( ( sK10_SY774 @ SV102 @ SV36 )
!= ( sK16_SY867 @ SV36 @ SV102 ) )
| ~ ( ~ ( ~ ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
| ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) ) )
| ~ ( ~ ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
| ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) ) ) ) )
= $false )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[568]) ).
thf(630,plain,
! [SV149: $o,SV37: $i,SV103: $i] :
( ( ( ~ ! [SY868: $i] :
( ~ ( in @ SV103 @ SY868 )
| ~ ( in @ SY868 @ SV37 )
| SV149 ) )
= $true )
| ( SV149 = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[569]) ).
thf(631,plain,
! [SV37: $i,SV103: $i] :
( ( ( ~ ! [SX0: $i] :
( ~ ( in @ SV103 @ SX0 )
| ~ ( in @ SX0 @ SV37 )
| $true ) )
= $true )
| ( $true = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(632,plain,
! [SV37: $i,SV103: $i] :
( ( ( ~ ! [SX0: $i] :
( ~ ( in @ SV103 @ SX0 )
| ~ ( in @ SX0 @ SV37 )
| $false ) )
= $true )
| ( $false = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(633,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ( ( sK11_SY784 @ SV104 @ SV38 )
!= ( sK17_SY869 @ SV38 @ SV104 ) )
| ~ ( ~ ( ~ ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
| ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) ) )
| ~ ( ~ ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
| ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[572]) ).
thf(634,plain,
! [SV39: $i,SV105: $i] :
( ( ( ~ ( in @ SV105 @ ( powerset @ SV39 ) ) )
= $true )
| ( ( ! [SY794: $i] :
( ~ ( in @ SY794 @ SV105 )
| ( in @ SY794 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[573]) ).
thf(635,plain,
! [SV39: $i,SV105: $i] :
( ( ( ~ ! [SY795: $i] :
( ~ ( in @ SY795 @ SV105 )
| ( in @ SY795 @ SV39 ) ) )
= $true )
| ( ( in @ SV105 @ ( powerset @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[574]) ).
thf(636,plain,
! [SV40: $i,SV106: $i] :
( ( ( ~ ( in @ ( sK12_SY796 @ SV106 @ SV40 ) @ SV40 ) )
= $false )
| ( ( subset @ SV40 @ SV106 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(637,plain,
! [SV40: $i,SV106: $i] :
( ( ( in @ ( sK12_SY796 @ SV106 @ SV40 ) @ SV106 )
= $false )
| ( ( subset @ SV40 @ SV106 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(638,plain,
! [SV107: $i,SV41: $i] :
( ( ( ~ ( in @ ( sK13_SY797 @ SV41 @ SV107 ) @ SV107 ) )
= $false )
| ( ( in @ SV107 @ ( powerset @ SV41 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[576]) ).
thf(639,plain,
! [SV107: $i,SV41: $i] :
( ( ( in @ ( sK13_SY797 @ SV41 @ SV107 ) @ SV41 )
= $false )
| ( ( in @ SV107 @ ( powerset @ SV41 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[576]) ).
thf(640,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( SV43 @ SV150 )
= $false )
| ( ( ~ ! [SY648: $i,SY649: $i] :
( ~ ( SV43 @ SY648 )
| ~ ( SV43 @ SY649 )
| ( SY648 = SY649 ) )
| ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(641,plain,
! [SV44: $i,SV108: $i,SV132: $i] :
( ( ( ~ ( in @ SV132 @ SV108 ) )
= $true )
| ( ( in @ SV132 @ SV44 )
= $true )
| ( ( in @ SV108 @ ( powerset @ SV44 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(642,plain,
! [SV109: $i > $o,SV45: $i,SV162: $i] :
( ( ( ~ ( in @ SV162 @ SV45 )
| ( SV109 @ SV162 ) )
= $true )
| ( ( ~ ! [SY800: $i] :
~ ~ ( ~ ( in @ SY800 @ SV45 )
| ~ ~ ( SV109 @ SY800 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(643,plain,
! [SV110: $i,SV46: $i,SV133: $i] :
( ( ( ~ ( in @ SV133 @ SV46 ) )
= $true )
| ( ( in @ SV110 @ ( setunion @ SV46 ) )
= $true )
| ( ( in @ SV110 @ SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(644,plain,
! [SV151: $i,SV47: $i > $o] :
( ( ( ~ ( ~ ( SV47 @ SV151 )
| ~ ! [SY870: $i] :
( ~ ( SV47 @ SY870 )
| ( SV151 = SY870 ) ) ) )
= $false )
| ( ( ~ ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(645,plain,
! [SV112: $i,SV163: $o,SV49: $i,SV135: $i] :
( ( ( ~ ( ( SV135 != SV49 )
| SV163 )
| ~ ( ~ ( in @ SV135 @ SV112 )
| SV163 )
| SV163 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[583]) ).
thf(646,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( ( ~ ( ( SV135 != SV49 )
| $true )
| ~ ( ~ ( in @ SV135 @ SV112 )
| $true )
| $true )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[583]) ).
thf(647,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( ( ~ ( ( SV135 != SV49 )
| $false )
| ~ ( ~ ( in @ SV135 @ SV112 )
| $false )
| $false )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[583]) ).
thf(648,plain,
! [SV50: $i,SV113: $i] :
( ( ( ~ ( in @ ( sK14_SY806 @ SV113 @ SV50 ) @ SV50 ) )
= $false )
| ( ( subset @ SV50 @ SV113 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(649,plain,
! [SV50: $i,SV113: $i] :
( ( ( in @ ( sK14_SY806 @ SV113 @ SV50 ) @ SV113 )
= $false )
| ( ( subset @ SV50 @ SV113 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(650,plain,
! [SV164: $i > $o,SV152: $i > $o,SV114: $i,SV51: $i] :
( ( ( ~ ! [SY883: $i] :
( ~ ( in @ SY883 @ SV51 )
| ! [SY884: $i] :
( ~ ( in @ SY884 @ SV114 )
| ( SY883 != SY884 )
| ~ ( ~ ( ~ ( SV152 @ SY883 )
| ( SV164 @ SY884 ) )
| ~ ( ~ ( SV164 @ SY884 )
| ( SV152 @ SY883 ) ) ) ) )
| ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(651,plain,
! [SV115: $i,SV52: $i,SV136: $i] :
( ( ( SV136 = SV52 )
= $true )
| ( ( SV136 = SV115 )
= $true )
| ( ( in @ SV136 @ ( setadjoin @ SV52 @ ( setadjoin @ SV115 @ emptyset ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(652,plain,
! [SV117: $i,SV54: $i,SV137: $i] :
( ( ( ~ ( in @ SV137 @ SV54 ) )
= $true )
| ( ( in @ SV137 @ SV117 )
= $true )
| ( ( subset @ SV54 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[587]) ).
thf(653,plain,
! [SV55: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY841: $i] :
( ~ ( in @ SY841 @ ( sK2_SY683 @ SV55 ) )
| ! [SY685: $i] :
( ~ ( in @ SY685 @ SY841 )
| ( in @ SY685 @ SV55 ) ) )
| ~ ! [SY843: $i,SY844: $i] :
( ~ ~ ( ~ ( in @ SY843 @ SV55 )
| ~ ( in @ SY844 @ SV55 ) )
| ~ ! [SY845: $i] :
( ~ ( in @ SY845 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SY843 @ SY845 )
| ( in @ SY844 @ SY845 ) )
| ~ ( ~ ( in @ SY844 @ SY845 )
| ( in @ SY843 @ SY845 ) ) ) )
| ( SY843 = SY844 ) ) )
| ~ ! [SY846: $i,SY847: $i] :
( ~ ~ ( ~ ( in @ SY846 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY847 @ ( sK2_SY683 @ SV55 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY846 )
| ( in @ SX4 @ SY847 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY847 )
| ( in @ SX4 @ SY846 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(654,plain,
! [SV55: $i] :
( ( ~ ! [SY850: $i] :
( ~ ~ ( ~ ! [SY694: $i] :
( ~ ( in @ SY694 @ SY850 )
| ( in @ SY694 @ SV55 ) )
| ~ ~ ! [SX3: $i] :
~ ( in @ SX3 @ SY850 ) )
| ~ ! [SY853: $i] :
~ ~ ! [SY854: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY853 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY854 @ SY850 ) )
| ~ ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( in @ SX5 @ SY853 )
| ~ ( in @ SX5 @ SY850 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY853 ) )
| ( in @ SY854 @ SY856 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(655,plain,
! [SV58: $i] :
( ( ( ~ ( in @ ( sK18_SY704 @ SV58 ) @ SV58 ) )
= $false )
| ( ( SV58 = emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[591]) ).
thf(656,plain,
! [SV119: $i > $o,SV61: $i,SV165: $i] :
( ( ( ~ ~ ( ~ ( in @ SV165 @ SV61 )
| ~ ( SV119 @ SV165 ) ) )
= $true )
| ( ( ( ( dsetconstr @ SV61
@ ^ [SY817: $i] : ( SV119 @ SY817 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(657,plain,
! [SV120: $i > $o,SV62: $i,SV139: $i] :
( ( ( ~ ( ~ ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY819: $i] : ( SV120 @ SY819 ) ) )
| ( SV120 @ SV139 ) )
| ~ ( ~ ( SV120 @ SV139 )
| ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY820: $i] : ( SV120 @ SY820 ) ) ) ) )
= $false )
| ( ( in @ SV139 @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(658,plain,
! [SV63: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK19_SY713 @ SV63 ) @ SV63 )
| ~ $true ) )
= $false )
| ( ( SV63 = emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[594]) ).
thf(659,plain,
! [SV121: $i,SV64: $i,SV140: $i] :
( ( ( SV140 = SV64 )
= $true )
| ( ( in @ SV140 @ SV121 )
= $true )
| ( ( in @ SV140 @ ( setadjoin @ SV64 @ SV121 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(660,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ! [SY876: $i] :
~ ( ~ ( ~ ( SV65 @ SY876 )
| ( SY876 = SV153 ) )
| ~ ( ( SY876 != SV153 )
| ( SV65 @ SY876 ) ) ) )
= $false )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(661,plain,
! [SV123: $i,SV67: $i > $i > $o] :
( ( ( ~ ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 ) )
= $false )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[597]) ).
thf(662,plain,
! [SV123: $i,SV67: $i > $i > $o] :
( ( ( ~ ! [SY877: $i] :
~ ~ ( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SY877 )
| ~ ! [SY878: $i] :
( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SY878 )
| ( SY877 = SY878 ) ) ) )
= $false )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[597]) ).
thf(663,plain,
! [SV68: $i,SV154: $i] :
( ( ( in @ SV154 @ SV68 )
= $false )
| ( ( SV68 != emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(664,plain,
! [SV70: $i] :
( ( ( in @ emptyset @ SV70 )
= $false )
| ( ( ~ ! [SY731: $i] :
( ~ ~ ( ~ ( in @ SY731 @ omega )
| ~ ( in @ SY731 @ SV70 ) )
| ( in @ ( setadjoin @ SY731 @ SY731 ) @ SV70 ) ) )
= $true )
| ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(665,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ( ~ ( SV71 @ SV155 )
| ~ ! [SY879: $i] :
( ~ ( SV71 @ SY879 )
| ( SV155 = SY879 ) ) ) )
= $false )
| ( ( ~ ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(666,plain,
( ( subset @ sK1_SX0 @ sK3_SY829 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(667,plain,
( ( ~ ~ ( in @ sK5_SY860 @ sK3_SY829 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(668,plain,
( ( ~ ( in @ sK5_SY860 @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(669,plain,
! [SV72: $i,SV141: $i,SV125: $i > $o] :
( ( ( ~ ( SV125 @ SV141 ) )
= $true )
| ( ( ( dsetconstr @ SV72
@ ^ [SY832: $i] : ( SV125 @ SY832 ) )
!= emptyset )
= $true )
| ( ( in @ SV141 @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(670,plain,
! [SV156: $i,SV75: $i > $o] :
( ( ( ~ ( ~ ( SV75 @ SV156 )
| ~ ! [SY880: $i] :
( ~ ( SV75 @ SY880 )
| ( SV156 = SY880 ) ) ) )
= $false )
| ( ( ! [SY744: $i,SY745: $i] :
( ~ ( SV75 @ SY744 )
| ~ ( SV75 @ SY745 )
| ( SY744 = SY745 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(671,plain,
! [SV127: $i,SV76: $i,SV166: $i,SV157: $i] :
( ( ( ( SV157 != SV166 )
| ~ ( ~ ( ~ ( in @ SV157 @ SV76 )
| ( in @ SV166 @ SV127 ) )
| ~ ( ~ ( in @ SV166 @ SV127 )
| ( in @ SV157 @ SV76 ) ) ) )
= $true )
| ( ( SV76 = SV127 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(672,plain,
! [SV128: $i,SV77: $i,SV167: $i,SV158: $i] :
( ( ( ( SV158 != SV167 )
| ~ ( in @ SV158 @ SV77 )
| ( in @ SV167 @ SV128 ) )
= $true )
| ( ( SV77 = SV128 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(673,plain,
! [SV81: $i > $o,SV10: $i,SV159: $i] :
( ( ( ~ ( in @ SV159 @ SV10 ) )
= $true )
| ( ( SV81 @ SV159 )
= $true )
| ( ( ~ ! [SY753: $i] :
~ ~ ( ~ ( in @ SY753 @ SV10 )
| ~ ~ ( SV81 @ SY753 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(674,plain,
! [SV143: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV143 )
| ~ ! [SY862: $i] :
( ~ ( SV12 @ SY862 )
| ( SV143 = SY862 ) ) )
= $true )
| ( ( ! [SY564: $i,SY565: $i] :
( ~ ( SV12 @ SY564 )
| ~ ( SV12 @ SY565 )
| ( SY564 = SY565 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(675,plain,
! [SV13: $i,SV82: $i > $o] :
( ( ( in @ ( sK7_SY754 @ SV82 @ SV13 ) @ SV13 )
= $true )
| ( ( ~ ~ ! [SY755: $i] :
~ ~ ( ~ ( in @ SY755 @ SV13 )
| ~ ( SV82 @ SY755 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(676,plain,
! [SV13: $i,SV82: $i > $o] :
( ( ( SV82 @ ( sK7_SY754 @ SV82 @ SV13 ) )
= $true )
| ( ( ~ ~ ! [SY755: $i] :
~ ~ ( ~ ( in @ SY755 @ SV13 )
| ~ ( SV82 @ SY755 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[611]) ).
thf(677,plain,
! [SV83: $i,SV14: $i,SV160: $i,SV144: $i] :
( ( ( SV144 != SV160 )
= $true )
| ( ( ( setadjoin @ SV14 @ SV144 )
= ( setadjoin @ SV83 @ SV160 ) )
= $true )
| ( ( SV14 = SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(678,plain,
! [SV15: $i,SV84: $i] :
( ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $false )
| ( ( ~ ! [SY758: $i] :
~ ~ ( ~ ( in @ SV84 @ SY758 )
| ~ ( in @ SY758 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(679,plain,
! [SV15: $i,SV84: $i] :
( ( ( ~ ! [SY759: $i] :
~ ~ ( ~ ( in @ SV84 @ SY759 )
| ~ ( in @ SY759 @ SV15 ) ) )
= $false )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(680,plain,
! [SV145: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ SV145 )
| ~ ! [SY864: $i] :
( ~ ( SV18 @ SY864 )
| ( SV145 = SY864 ) ) )
= $true )
| ( ( ~ ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(681,plain,
! [SV88: $i > $o,SV20: $i,SV161: $i] :
( ( ( ~ ( ~ ( in @ SV161 @ SV20 )
| ~ ~ ( SV88 @ SV161 ) ) )
= $false )
| ( ( ~ ! [SY761: $i] :
( ~ ( in @ SY761 @ SV20 )
| ( SV88 @ SY761 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(682,plain,
! [SV21: $i,SV89: $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK20_SY762 @ SV89 @ SV21 ) @ SV21 )
| ~ ( SV89 @ ( sK20_SY762 @ SV89 @ SV21 ) ) ) )
= $false )
| ( ( ! [SY763: $i] :
( ~ ( in @ SY763 @ SV21 )
| ~ ( SV89 @ SY763 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[618]) ).
thf(683,plain,
! [SV146: $i,SV22: $i] :
( ( ( ! [SY588: $i] :
~ ~ ( ~ ( in @ SY588 @ SV22 )
| ~ ~ ~ ! [SY589: $i] :
~ ~ ( ~ ( in @ SY589 @ SY588 )
| ~ ( in @ SY589 @ SV22 ) ) ) )
= $false )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(684,plain,
! [SV26: $i,SV130: $i,SV95: $i > $o] :
( ( ( SV95 @ SV130 )
= $false )
| ( ( in @ SV130
@ ( dsetconstr @ SV26
@ ^ [SY767: $i] : ( SV95 @ SY767 ) ) )
= $true )
| ( ( in @ SV130 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(685,plain,
! [SV96: $i,SV27: $i,SV131: $i] :
( ( ( ~ ( in @ SV131 @ ( setadjoin @ SV27 @ SV96 ) ) )
= $true )
| ( ( ( SV131 = SV27 )
| ( in @ SV131 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(686,plain,
! [SV96: $i,SV27: $i,SV131: $i] :
( ( ( ~ ( ( SV131 = SV27 )
| ( in @ SV131 @ SV96 ) ) )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV27 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(687,plain,
! [SV30: $i,SV98: $i] :
( ( ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV30 )
= $true )
| ( ( ~ ! [SY770: $i] :
( ~ ( in @ SY770 @ SV98 )
| ( in @ SY770 @ SV30 ) )
| ( SV30 = SV98 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[623]) ).
thf(688,plain,
! [SV30: $i,SV98: $i] :
( ( ( ~ ! [SY770: $i] :
( ~ ( in @ SY770 @ SV98 )
| ( in @ SY770 @ SV30 ) ) )
= $true )
| ( ( SV30 = SV98 )
= $true )
| ( ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(689,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ SV147 )
| ~ ! [SY865: $i] :
( ~ ( SV31 @ SY865 )
| ( SV147 = SY865 ) ) )
= $true )
| ( ( ~ ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(690,plain,
! [SV148: $i,SV33: $i > $o] :
( ( ( ~ ( SV33 @ SV148 )
| ~ ! [SY866: $i] :
( ~ ( SV33 @ SY866 )
| ( SV148 = SY866 ) ) )
= $true )
| ( ( SV33
@ ( descr
@ ^ [SY611: $i] : ( SV33 @ SY611 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(691,plain,
! [SV34: $i,SV100: $i] :
( ( ( ~ ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 )
| ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 ) ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
| ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 ) ) )
= $true )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(692,plain,
! [SV35: $i,SV101: $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK21_SY772 @ SV101 @ SV35 ) @ SV35 )
| ~ ( SV101 @ ( sK21_SY772 @ SV101 @ SV35 ) ) ) )
= $false )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV35 )
| ~ ( SV101 @ SY773 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[628]) ).
thf(693,plain,
! [SV36: $i > $o,SV102: $i > $o] :
( ( ( ( sK10_SY774 @ SV102 @ SV36 )
!= ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(694,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
| ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) ) )
| ~ ( ~ ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
| ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) ) ) ) )
= $false )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(695,plain,
! [SV149: $o,SV37: $i,SV103: $i] :
( ( ( ! [SY868: $i] :
( ~ ( in @ SV103 @ SY868 )
| ~ ( in @ SY868 @ SV37 )
| SV149 ) )
= $false )
| ( SV149 = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(696,plain,
! [SV37: $i,SV103: $i] :
( ( ( ! [SX0: $i] :
( ~ ( in @ SV103 @ SX0 )
| ~ ( in @ SX0 @ SV37 )
| $true ) )
= $false )
| ( $true = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(697,plain,
! [SV37: $i,SV103: $i] :
( ( ( ! [SX0: $i] :
( ~ ( in @ SV103 @ SX0 )
| ~ ( in @ SX0 @ SV37 )
| $false ) )
= $false )
| ( $false = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(698,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ( sK11_SY784 @ SV104 @ SV38 )
!= ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(699,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
| ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) ) )
| ~ ( ~ ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
| ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(700,plain,
! [SV39: $i,SV105: $i] :
( ( ( in @ SV105 @ ( powerset @ SV39 ) )
= $false )
| ( ( ! [SY794: $i] :
( ~ ( in @ SY794 @ SV105 )
| ( in @ SY794 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(701,plain,
! [SV39: $i,SV105: $i] :
( ( ( ! [SY795: $i] :
( ~ ( in @ SY795 @ SV105 )
| ( in @ SY795 @ SV39 ) ) )
= $false )
| ( ( in @ SV105 @ ( powerset @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(702,plain,
! [SV40: $i,SV106: $i] :
( ( ( in @ ( sK12_SY796 @ SV106 @ SV40 ) @ SV40 )
= $true )
| ( ( subset @ SV40 @ SV106 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(703,plain,
! [SV107: $i,SV41: $i] :
( ( ( in @ ( sK13_SY797 @ SV41 @ SV107 ) @ SV107 )
= $true )
| ( ( in @ SV107 @ ( powerset @ SV41 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(704,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ! [SY648: $i,SY649: $i] :
( ~ ( SV43 @ SY648 )
| ~ ( SV43 @ SY649 )
| ( SY648 = SY649 ) ) )
= $true )
| ( ( ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(705,plain,
! [SV44: $i,SV108: $i,SV132: $i] :
( ( ( in @ SV132 @ SV108 )
= $false )
| ( ( in @ SV132 @ SV44 )
= $true )
| ( ( in @ SV108 @ ( powerset @ SV44 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(706,plain,
! [SV109: $i > $o,SV45: $i,SV162: $i] :
( ( ( ~ ( in @ SV162 @ SV45 ) )
= $true )
| ( ( SV109 @ SV162 )
= $true )
| ( ( ~ ! [SY800: $i] :
~ ~ ( ~ ( in @ SY800 @ SV45 )
| ~ ~ ( SV109 @ SY800 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(707,plain,
! [SV110: $i,SV46: $i,SV133: $i] :
( ( ( in @ SV133 @ SV46 )
= $false )
| ( ( in @ SV110 @ ( setunion @ SV46 ) )
= $true )
| ( ( in @ SV110 @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(708,plain,
! [SV151: $i,SV47: $i > $o] :
( ( ( ~ ( SV47 @ SV151 )
| ~ ! [SY870: $i] :
( ~ ( SV47 @ SY870 )
| ( SV151 = SY870 ) ) )
= $true )
| ( ( ~ ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(709,plain,
! [SV112: $i,SV163: $o,SV49: $i,SV135: $i] :
( ( ( ~ ( ( SV135 != SV49 )
| SV163 ) )
= $true )
| ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| SV163 )
| SV163 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[645]) ).
thf(710,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( ( ~ ( ( SV135 != SV49 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| $true )
| $true )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[646]) ).
thf(711,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( ( ~ ( ( SV135 != SV49 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| $false )
| $false )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(712,plain,
! [SV50: $i,SV113: $i] :
( ( ( in @ ( sK14_SY806 @ SV113 @ SV50 ) @ SV50 )
= $true )
| ( ( subset @ SV50 @ SV113 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(713,plain,
! [SV164: $i > $o,SV152: $i > $o,SV114: $i,SV51: $i] :
( ( ( ~ ! [SY883: $i] :
( ~ ( in @ SY883 @ SV51 )
| ! [SY884: $i] :
( ~ ( in @ SY884 @ SV114 )
| ( SY883 != SY884 )
| ~ ( ~ ( ~ ( SV152 @ SY883 )
| ( SV164 @ SY884 ) )
| ~ ( ~ ( SV164 @ SY884 )
| ( SV152 @ SY883 ) ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(714,plain,
! [SV117: $i,SV54: $i,SV137: $i] :
( ( ( in @ SV137 @ SV54 )
= $false )
| ( ( in @ SV137 @ SV117 )
= $true )
| ( ( subset @ SV54 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(715,plain,
! [SV55: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY841: $i] :
( ~ ( in @ SY841 @ ( sK2_SY683 @ SV55 ) )
| ! [SY685: $i] :
( ~ ( in @ SY685 @ SY841 )
| ( in @ SY685 @ SV55 ) ) )
| ~ ! [SY843: $i,SY844: $i] :
( ~ ~ ( ~ ( in @ SY843 @ SV55 )
| ~ ( in @ SY844 @ SV55 ) )
| ~ ! [SY845: $i] :
( ~ ( in @ SY845 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SY843 @ SY845 )
| ( in @ SY844 @ SY845 ) )
| ~ ( ~ ( in @ SY844 @ SY845 )
| ( in @ SY843 @ SY845 ) ) ) )
| ( SY843 = SY844 ) ) )
| ~ ! [SY846: $i,SY847: $i] :
( ~ ~ ( ~ ( in @ SY846 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY847 @ ( sK2_SY683 @ SV55 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY846 )
| ( in @ SX4 @ SY847 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY847 )
| ( in @ SX4 @ SY846 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(716,plain,
! [SV55: $i] :
( ( ! [SY850: $i] :
( ~ ~ ( ~ ! [SY694: $i] :
( ~ ( in @ SY694 @ SY850 )
| ( in @ SY694 @ SV55 ) )
| ~ ~ ! [SX3: $i] :
~ ( in @ SX3 @ SY850 ) )
| ~ ! [SY853: $i] :
~ ~ ! [SY854: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY853 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY854 @ SY850 ) )
| ~ ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( in @ SX5 @ SY853 )
| ~ ( in @ SX5 @ SY850 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY853 ) )
| ( in @ SY854 @ SY856 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[654]) ).
thf(717,plain,
! [SV58: $i] :
( ( ( in @ ( sK18_SY704 @ SV58 ) @ SV58 )
= $true )
| ( ( SV58 = emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[655]) ).
thf(718,plain,
! [SV119: $i > $o,SV61: $i,SV165: $i] :
( ( ( ~ ( ~ ( in @ SV165 @ SV61 )
| ~ ( SV119 @ SV165 ) ) )
= $false )
| ( ( ( ( dsetconstr @ SV61
@ ^ [SY817: $i] : ( SV119 @ SY817 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(719,plain,
! [SV120: $i > $o,SV62: $i,SV139: $i] :
( ( ( ~ ( ~ ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY819: $i] : ( SV120 @ SY819 ) ) )
| ( SV120 @ SV139 ) ) )
= $false )
| ( ( in @ SV139 @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(720,plain,
! [SV62: $i,SV139: $i,SV120: $i > $o] :
( ( ( ~ ( ~ ( SV120 @ SV139 )
| ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY820: $i] : ( SV120 @ SY820 ) ) ) ) )
= $false )
| ( ( in @ SV139 @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(721,plain,
! [SV63: $i] :
( ( ( ~ ( ~ ( in @ ( sK19_SY713 @ SV63 ) @ SV63 )
| ~ $true ) )
= $true )
| ( ( SV63 = emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[658]) ).
thf(722,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
| ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 ) )
| ~ ( ( ( sK22_SY876 @ SV153 @ SV65 )
!= SV153 )
| ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) ) ) ) )
= $false )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[660]) ).
thf(723,plain,
! [SV123: $i,SV67: $i > $i > $o] :
( ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[661]) ).
thf(724,plain,
! [SV123: $i,SV67: $i > $i > $o] :
( ( ( ! [SY877: $i] :
~ ~ ( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SY877 )
| ~ ! [SY878: $i] :
( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SY878 )
| ( SY877 = SY878 ) ) ) )
= $true )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[662]) ).
thf(725,plain,
! [SV154: $i,SV68: $i] :
( ( ( SV68 = emptyset )
= $false )
| ( ( in @ SV154 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(726,plain,
! [SV70: $i] :
( ( ( ! [SY731: $i] :
( ~ ~ ( ~ ( in @ SY731 @ omega )
| ~ ( in @ SY731 @ SV70 ) )
| ( in @ ( setadjoin @ SY731 @ SY731 ) @ SV70 ) ) )
= $false )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(727,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ SV155 )
| ~ ! [SY879: $i] :
( ~ ( SV71 @ SY879 )
| ( SV155 = SY879 ) ) )
= $true )
| ( ( ~ ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(728,plain,
( ( ~ ( in @ sK5_SY860 @ sK3_SY829 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(729,plain,
( ( in @ sK5_SY860 @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[668]) ).
thf(730,plain,
! [SV72: $i,SV141: $i,SV125: $i > $o] :
( ( ( SV125 @ SV141 )
= $false )
| ( ( ( dsetconstr @ SV72
@ ^ [SY832: $i] : ( SV125 @ SY832 ) )
!= emptyset )
= $true )
| ( ( in @ SV141 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(731,plain,
! [SV156: $i,SV75: $i > $o] :
( ( ( ~ ( SV75 @ SV156 )
| ~ ! [SY880: $i] :
( ~ ( SV75 @ SY880 )
| ( SV156 = SY880 ) ) )
= $true )
| ( ( ! [SY744: $i,SY745: $i] :
( ~ ( SV75 @ SY744 )
| ~ ( SV75 @ SY745 )
| ( SY744 = SY745 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[670]) ).
thf(732,plain,
! [SV127: $i,SV76: $i,SV166: $i,SV157: $i] :
( ( ( SV157 != SV166 )
= $true )
| ( ( ~ ( ~ ( ~ ( in @ SV157 @ SV76 )
| ( in @ SV166 @ SV127 ) )
| ~ ( ~ ( in @ SV166 @ SV127 )
| ( in @ SV157 @ SV76 ) ) ) )
= $true )
| ( ( SV76 = SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(733,plain,
! [SV128: $i,SV77: $i,SV167: $i,SV158: $i] :
( ( ( SV158 != SV167 )
= $true )
| ( ( ~ ( in @ SV158 @ SV77 )
| ( in @ SV167 @ SV128 ) )
= $true )
| ( ( SV77 = SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(734,plain,
! [SV81: $i > $o,SV10: $i,SV159: $i] :
( ( ( in @ SV159 @ SV10 )
= $false )
| ( ( SV81 @ SV159 )
= $true )
| ( ( ~ ! [SY753: $i] :
~ ~ ( ~ ( in @ SY753 @ SV10 )
| ~ ~ ( SV81 @ SY753 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(735,plain,
! [SV143: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV143 ) )
= $true )
| ( ( ~ ! [SY862: $i] :
( ~ ( SV12 @ SY862 )
| ( SV143 = SY862 ) ) )
= $true )
| ( ( ! [SY564: $i,SY565: $i] :
( ~ ( SV12 @ SY564 )
| ~ ( SV12 @ SY565 )
| ( SY564 = SY565 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(736,plain,
! [SV82: $i > $o,SV13: $i] :
( ( ( ~ ! [SY755: $i] :
~ ~ ( ~ ( in @ SY755 @ SV13 )
| ~ ( SV82 @ SY755 ) ) )
= $false )
| ( ( in @ ( sK7_SY754 @ SV82 @ SV13 ) @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(737,plain,
! [SV82: $i > $o,SV13: $i] :
( ( ( ~ ! [SY755: $i] :
~ ~ ( ~ ( in @ SY755 @ SV13 )
| ~ ( SV82 @ SY755 ) ) )
= $false )
| ( ( SV82 @ ( sK7_SY754 @ SV82 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(738,plain,
! [SV83: $i,SV14: $i,SV160: $i,SV144: $i] :
( ( ( SV144 = SV160 )
= $false )
| ( ( ( setadjoin @ SV14 @ SV144 )
= ( setadjoin @ SV83 @ SV160 ) )
= $true )
| ( ( SV14 = SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(739,plain,
! [SV15: $i,SV84: $i] :
( ( ( ! [SY758: $i] :
~ ~ ( ~ ( in @ SV84 @ SY758 )
| ~ ( in @ SY758 @ SV15 ) ) )
= $false )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(740,plain,
! [SV15: $i,SV84: $i] :
( ( ( ! [SY759: $i] :
~ ~ ( ~ ( in @ SV84 @ SY759 )
| ~ ( in @ SY759 @ SV15 ) ) )
= $true )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(741,plain,
! [SV145: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ SV145 ) )
= $true )
| ( ( ~ ! [SY864: $i] :
( ~ ( SV18 @ SY864 )
| ( SV145 = SY864 ) ) )
= $true )
| ( ( ~ ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[680]) ).
thf(742,plain,
! [SV88: $i > $o,SV20: $i,SV161: $i] :
( ( ( ~ ( in @ SV161 @ SV20 )
| ~ ~ ( SV88 @ SV161 ) )
= $true )
| ( ( ~ ! [SY761: $i] :
( ~ ( in @ SY761 @ SV20 )
| ( SV88 @ SY761 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[681]) ).
thf(743,plain,
! [SV21: $i,SV89: $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK20_SY762 @ SV89 @ SV21 ) @ SV21 )
| ~ ( SV89 @ ( sK20_SY762 @ SV89 @ SV21 ) ) ) )
= $true )
| ( ( ! [SY763: $i] :
( ~ ( in @ SY763 @ SV21 )
| ~ ( SV89 @ SY763 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[682]) ).
thf(744,plain,
! [SV22: $i,SV146: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK23_SY588 @ SV146 @ SV22 ) @ SV22 )
| ~ ~ ~ ! [SY887: $i] :
~ ~ ( ~ ( in @ SY887 @ ( sK23_SY588 @ SV146 @ SV22 ) )
| ~ ( in @ SY887 @ SV22 ) ) ) )
= $false )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[683]) ).
thf(745,plain,
! [SV96: $i,SV27: $i,SV131: $i] :
( ( ( in @ SV131 @ ( setadjoin @ SV27 @ SV96 ) )
= $false )
| ( ( ( SV131 = SV27 )
| ( in @ SV131 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(746,plain,
! [SV96: $i,SV27: $i,SV131: $i] :
( ( ( ( SV131 = SV27 )
| ( in @ SV131 @ SV96 ) )
= $false )
| ( ( in @ SV131 @ ( setadjoin @ SV27 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(747,plain,
! [SV30: $i,SV98: $i] :
( ( ( ~ ! [SY770: $i] :
( ~ ( in @ SY770 @ SV98 )
| ( in @ SY770 @ SV30 ) ) )
= $true )
| ( ( SV30 = SV98 )
= $true )
| ( ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(748,plain,
! [SV30: $i,SV98: $i] :
( ( ( ! [SY770: $i] :
( ~ ( in @ SY770 @ SV98 )
| ( in @ SY770 @ SV30 ) ) )
= $false )
| ( ( SV30 = SV98 )
= $true )
| ( ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(749,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ SV147 ) )
= $true )
| ( ( ~ ! [SY865: $i] :
( ~ ( SV31 @ SY865 )
| ( SV147 = SY865 ) ) )
= $true )
| ( ( ~ ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(750,plain,
! [SV148: $i,SV33: $i > $o] :
( ( ( ~ ( SV33 @ SV148 ) )
= $true )
| ( ( ~ ! [SY866: $i] :
( ~ ( SV33 @ SY866 )
| ( SV148 = SY866 ) ) )
= $true )
| ( ( SV33
@ ( descr
@ ^ [SY611: $i] : ( SV33 @ SY611 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[690]) ).
thf(751,plain,
! [SV34: $i,SV100: $i] :
( ( ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 )
| ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 ) )
= $false )
| ( ( ~ ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
| ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 ) ) )
= $true )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(752,plain,
! [SV35: $i,SV101: $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK21_SY772 @ SV101 @ SV35 ) @ SV35 )
| ~ ( SV101 @ ( sK21_SY772 @ SV101 @ SV35 ) ) ) )
= $true )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV35 )
| ~ ( SV101 @ SY773 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[692]) ).
thf(753,plain,
! [SV36: $i > $o,SV102: $i > $o] :
( ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(754,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ( ~ ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
| ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) ) )
| ~ ( ~ ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
| ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(755,plain,
! [SV37: $i,SV149: $o,SV103: $i] :
( ( ( ~ ( in @ SV103 @ ( sK24_SY868 @ SV149 @ SV37 @ SV103 ) )
| ~ ( in @ ( sK24_SY868 @ SV149 @ SV37 @ SV103 ) @ SV37 )
| SV149 )
= $false )
| ( SV149 = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[695]) ).
thf(756,plain,
! [SV37: $i,SV103: $i] :
( ( ( ~ ( in @ SV103 @ ( sK25_SX0 @ SV37 @ SV103 ) )
| ~ ( in @ ( sK25_SX0 @ SV37 @ SV103 ) @ SV37 )
| $true )
= $false )
| ( $true = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[696]) ).
thf(757,plain,
! [SV37: $i,SV103: $i] :
( ( ( ~ ( in @ SV103 @ ( sK26_SX0 @ SV37 @ SV103 ) )
| ~ ( in @ ( sK26_SX0 @ SV37 @ SV103 ) @ SV37 )
| $false )
= $false )
| ( $false = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[697]) ).
thf(758,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[698]) ).
thf(759,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
| ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) ) )
| ~ ( ~ ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
| ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[699]) ).
thf(760,plain,
! [SV39: $i,SV105: $i,SV168: $i] :
( ( ( ~ ( in @ SV168 @ SV105 )
| ( in @ SV168 @ SV39 ) )
= $true )
| ( ( in @ SV105 @ ( powerset @ SV39 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(761,plain,
! [SV105: $i,SV39: $i] :
( ( ( ~ ( in @ ( sK27_SY795 @ SV39 @ SV105 ) @ SV105 )
| ( in @ ( sK27_SY795 @ SV39 @ SV105 ) @ SV39 ) )
= $false )
| ( ( in @ SV105 @ ( powerset @ SV39 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[701]) ).
thf(762,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ! [SY648: $i,SY649: $i] :
( ~ ( SV43 @ SY648 )
| ~ ( SV43 @ SY649 )
| ( SY648 = SY649 ) ) )
= $false )
| ( ( ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(763,plain,
! [SV109: $i > $o,SV45: $i,SV162: $i] :
( ( ( in @ SV162 @ SV45 )
= $false )
| ( ( SV109 @ SV162 )
= $true )
| ( ( ~ ! [SY800: $i] :
~ ~ ( ~ ( in @ SY800 @ SV45 )
| ~ ~ ( SV109 @ SY800 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(764,plain,
! [SV151: $i,SV47: $i > $o] :
( ( ( ~ ( SV47 @ SV151 ) )
= $true )
| ( ( ~ ! [SY870: $i] :
( ~ ( SV47 @ SY870 )
| ( SV151 = SY870 ) ) )
= $true )
| ( ( ~ ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(765,plain,
! [SV112: $i,SV163: $o,SV49: $i,SV135: $i] :
( ( ( ( SV135 != SV49 )
| SV163 )
= $false )
| ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| SV163 )
| SV163 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(766,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( ( ( SV135 != SV49 )
| $true )
= $false )
| ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| $true )
| $true )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(767,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( ( ( SV135 != SV49 )
| $false )
= $false )
| ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| $false )
| $false )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(768,plain,
! [SV164: $i > $o,SV152: $i > $o,SV114: $i,SV51: $i] :
( ( ( ! [SY883: $i] :
( ~ ( in @ SY883 @ SV51 )
| ! [SY884: $i] :
( ~ ( in @ SY884 @ SV114 )
| ( SY883 != SY884 )
| ~ ( ~ ( ~ ( SV152 @ SY883 )
| ( SV164 @ SY884 ) )
| ~ ( ~ ( SV164 @ SY884 )
| ( SV152 @ SY883 ) ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(769,plain,
! [SV55: $i] :
( ( ~ ~ ( ~ ! [SY841: $i] :
( ~ ( in @ SY841 @ ( sK2_SY683 @ SV55 ) )
| ! [SY685: $i] :
( ~ ( in @ SY685 @ SY841 )
| ( in @ SY685 @ SV55 ) ) )
| ~ ! [SY843: $i,SY844: $i] :
( ~ ~ ( ~ ( in @ SY843 @ SV55 )
| ~ ( in @ SY844 @ SV55 ) )
| ~ ! [SY845: $i] :
( ~ ( in @ SY845 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SY843 @ SY845 )
| ( in @ SY844 @ SY845 ) )
| ~ ( ~ ( in @ SY844 @ SY845 )
| ( in @ SY843 @ SY845 ) ) ) )
| ( SY843 = SY844 ) ) )
| ~ ! [SY846: $i,SY847: $i] :
( ~ ~ ( ~ ( in @ SY846 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY847 @ ( sK2_SY683 @ SV55 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY846 )
| ( in @ SX4 @ SY847 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY847 )
| ( in @ SX4 @ SY846 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(770,plain,
! [SV55: $i,SV169: $i] :
( ( ~ ~ ( ~ ! [SY888: $i] :
( ~ ( in @ SY888 @ SV169 )
| ( in @ SY888 @ SV55 ) )
| ~ ~ ! [SY889: $i] :
~ ( in @ SY889 @ SV169 ) )
| ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(771,plain,
! [SV119: $i > $o,SV61: $i,SV165: $i] :
( ( ( ~ ( in @ SV165 @ SV61 )
| ~ ( SV119 @ SV165 ) )
= $true )
| ( ( ( ( dsetconstr @ SV61
@ ^ [SY817: $i] : ( SV119 @ SY817 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(772,plain,
! [SV120: $i > $o,SV62: $i,SV139: $i] :
( ( ( ~ ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY819: $i] : ( SV120 @ SY819 ) ) )
| ( SV120 @ SV139 ) )
= $true )
| ( ( in @ SV139 @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(773,plain,
! [SV62: $i,SV139: $i,SV120: $i > $o] :
( ( ( ~ ( SV120 @ SV139 )
| ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY820: $i] : ( SV120 @ SY820 ) ) ) )
= $true )
| ( ( in @ SV139 @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(774,plain,
! [SV63: $i] :
( ( ( ~ ( in @ ( sK19_SY713 @ SV63 ) @ SV63 )
| ~ $true )
= $false )
| ( ( SV63 = emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(775,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( ~ ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
| ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 ) )
| ~ ( ( ( sK22_SY876 @ SV153 @ SV65 )
!= SV153 )
| ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) ) ) )
= $true )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[722]) ).
thf(776,plain,
! [SV67: $i > $i > $o,SV123: $i] :
( ( ( ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(777,plain,
! [SV170: $i,SV123: $i,SV67: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
| ~ ! [SY895: $i] :
( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SY895 )
| ( SV170 = SY895 ) ) ) )
= $true )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(778,plain,
! [SV70: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK28_SY731 @ SV70 ) @ omega )
| ~ ( in @ ( sK28_SY731 @ SV70 ) @ SV70 ) )
| ( in @ ( setadjoin @ ( sK28_SY731 @ SV70 ) @ ( sK28_SY731 @ SV70 ) ) @ SV70 ) )
= $false )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[726]) ).
thf(779,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ SV155 ) )
= $true )
| ( ( ~ ! [SY879: $i] :
( ~ ( SV71 @ SY879 )
| ( SV155 = SY879 ) ) )
= $true )
| ( ( ~ ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[727]) ).
thf(780,plain,
( ( in @ sK5_SY860 @ sK3_SY829 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(781,plain,
! [SV141: $i,SV125: $i > $o,SV72: $i] :
( ( ( ( dsetconstr @ SV72
@ ^ [SY832: $i] : ( SV125 @ SY832 ) )
= emptyset )
= $false )
| ( ( SV125 @ SV141 )
= $false )
| ( ( in @ SV141 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(782,plain,
! [SV156: $i,SV75: $i > $o] :
( ( ( ~ ( SV75 @ SV156 ) )
= $true )
| ( ( ~ ! [SY880: $i] :
( ~ ( SV75 @ SY880 )
| ( SV156 = SY880 ) ) )
= $true )
| ( ( ! [SY744: $i,SY745: $i] :
( ~ ( SV75 @ SY744 )
| ~ ( SV75 @ SY745 )
| ( SY744 = SY745 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(783,plain,
! [SV127: $i,SV76: $i,SV166: $i,SV157: $i] :
( ( ( SV157 = SV166 )
= $false )
| ( ( ~ ( ~ ( ~ ( in @ SV157 @ SV76 )
| ( in @ SV166 @ SV127 ) )
| ~ ( ~ ( in @ SV166 @ SV127 )
| ( in @ SV157 @ SV76 ) ) ) )
= $true )
| ( ( SV76 = SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(784,plain,
! [SV128: $i,SV77: $i,SV167: $i,SV158: $i] :
( ( ( SV158 = SV167 )
= $false )
| ( ( ~ ( in @ SV158 @ SV77 )
| ( in @ SV167 @ SV128 ) )
= $true )
| ( ( SV77 = SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(785,plain,
! [SV159: $i,SV81: $i > $o,SV10: $i] :
( ( ( ! [SY753: $i] :
~ ~ ( ~ ( in @ SY753 @ SV10 )
| ~ ~ ( SV81 @ SY753 ) ) )
= $false )
| ( ( SV81 @ SV159 )
= $true )
| ( ( in @ SV159 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(786,plain,
! [SV143: $i,SV12: $i > $o] :
( ( ( SV12 @ SV143 )
= $false )
| ( ( ~ ! [SY862: $i] :
( ~ ( SV12 @ SY862 )
| ( SV143 = SY862 ) ) )
= $true )
| ( ( ! [SY564: $i,SY565: $i] :
( ~ ( SV12 @ SY564 )
| ~ ( SV12 @ SY565 )
| ( SY564 = SY565 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(787,plain,
! [SV82: $i > $o,SV13: $i] :
( ( ( ! [SY755: $i] :
~ ~ ( ~ ( in @ SY755 @ SV13 )
| ~ ( SV82 @ SY755 ) ) )
= $true )
| ( ( in @ ( sK7_SY754 @ SV82 @ SV13 ) @ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(788,plain,
! [SV82: $i > $o,SV13: $i] :
( ( ( ! [SY755: $i] :
~ ~ ( ~ ( in @ SY755 @ SV13 )
| ~ ( SV82 @ SY755 ) ) )
= $true )
| ( ( SV82 @ ( sK7_SY754 @ SV82 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(789,plain,
! [SV15: $i,SV84: $i] :
( ( ( ~ ~ ( ~ ( in @ SV84 @ ( sK29_SY758 @ SV15 @ SV84 ) )
| ~ ( in @ ( sK29_SY758 @ SV15 @ SV84 ) @ SV15 ) ) )
= $false )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[739]) ).
thf(790,plain,
! [SV15: $i,SV171: $i,SV84: $i] :
( ( ( ~ ~ ( ~ ( in @ SV84 @ SV171 )
| ~ ( in @ SV171 @ SV15 ) ) )
= $true )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(791,plain,
! [SV145: $i,SV18: $i > $o] :
( ( ( SV18 @ SV145 )
= $false )
| ( ( ~ ! [SY864: $i] :
( ~ ( SV18 @ SY864 )
| ( SV145 = SY864 ) ) )
= $true )
| ( ( ~ ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(792,plain,
! [SV88: $i > $o,SV20: $i,SV161: $i] :
( ( ( ~ ( in @ SV161 @ SV20 ) )
= $true )
| ( ( ~ ~ ( SV88 @ SV161 ) )
= $true )
| ( ( ~ ! [SY761: $i] :
( ~ ( in @ SY761 @ SV20 )
| ( SV88 @ SY761 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(793,plain,
! [SV21: $i,SV89: $i > $o] :
( ( ( ~ ( in @ ( sK20_SY762 @ SV89 @ SV21 ) @ SV21 )
| ~ ( SV89 @ ( sK20_SY762 @ SV89 @ SV21 ) ) )
= $false )
| ( ( ! [SY763: $i] :
( ~ ( in @ SY763 @ SV21 )
| ~ ( SV89 @ SY763 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(794,plain,
! [SV22: $i,SV146: $i] :
( ( ( ~ ( ~ ( in @ ( sK23_SY588 @ SV146 @ SV22 ) @ SV22 )
| ~ ~ ~ ! [SY887: $i] :
~ ~ ( ~ ( in @ SY887 @ ( sK23_SY588 @ SV146 @ SV22 ) )
| ~ ( in @ SY887 @ SV22 ) ) ) )
= $true )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[744]) ).
thf(795,plain,
! [SV96: $i,SV27: $i,SV131: $i] :
( ( ( SV131 = SV27 )
= $true )
| ( ( in @ SV131 @ SV96 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV27 @ SV96 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(796,plain,
! [SV96: $i,SV27: $i,SV131: $i] :
( ( ( SV131 = SV27 )
= $false )
| ( ( in @ SV131 @ ( setadjoin @ SV27 @ SV96 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[746]) ).
thf(797,plain,
! [SV27: $i,SV96: $i,SV131: $i] :
( ( ( in @ SV131 @ SV96 )
= $false )
| ( ( in @ SV131 @ ( setadjoin @ SV27 @ SV96 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[746]) ).
thf(798,plain,
! [SV30: $i,SV98: $i] :
( ( ( ! [SY770: $i] :
( ~ ( in @ SY770 @ SV98 )
| ( in @ SY770 @ SV30 ) ) )
= $false )
| ( ( SV30 = SV98 )
= $true )
| ( ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(799,plain,
! [SV98: $i,SV30: $i] :
( ( ( ~ ( in @ ( sK30_SY770 @ SV30 @ SV98 ) @ SV98 )
| ( in @ ( sK30_SY770 @ SV30 @ SV98 ) @ SV30 ) )
= $false )
| ( ( SV30 = SV98 )
= $true )
| ( ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV98 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[748]) ).
thf(800,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( SV31 @ SV147 )
= $false )
| ( ( ~ ! [SY865: $i] :
( ~ ( SV31 @ SY865 )
| ( SV147 = SY865 ) ) )
= $true )
| ( ( ~ ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(801,plain,
! [SV148: $i,SV33: $i > $o] :
( ( ( SV33 @ SV148 )
= $false )
| ( ( ~ ! [SY866: $i] :
( ~ ( SV33 @ SY866 )
| ( SV148 = SY866 ) ) )
= $true )
| ( ( SV33
@ ( descr
@ ^ [SY611: $i] : ( SV33 @ SY611 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(802,plain,
! [SV34: $i,SV100: $i] :
( ( ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 ) )
= $false )
| ( ( ~ ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
| ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 ) ) )
= $true )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[751]) ).
thf(803,plain,
! [SV34: $i,SV100: $i] :
( ( ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
= $false )
| ( ( ~ ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
| ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 ) ) )
= $true )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[751]) ).
thf(804,plain,
! [SV35: $i,SV101: $i > $o] :
( ( ( ~ ( in @ ( sK21_SY772 @ SV101 @ SV35 ) @ SV35 )
| ~ ( SV101 @ ( sK21_SY772 @ SV101 @ SV35 ) ) )
= $false )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV35 )
| ~ ( SV101 @ SY773 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(805,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(806,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ( ~ ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
| ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
| ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[754]) ).
thf(807,plain,
! [SV37: $i,SV149: $o,SV103: $i] :
( ( ( ~ ( in @ SV103 @ ( sK24_SY868 @ SV149 @ SV37 @ SV103 ) ) )
= $false )
| ( SV149 = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(808,plain,
! [SV103: $i,SV37: $i,SV149: $o] :
( ( ( ~ ( in @ ( sK24_SY868 @ SV149 @ SV37 @ SV103 ) @ SV37 )
| SV149 )
= $false )
| ( SV149 = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(809,plain,
! [SV37: $i,SV103: $i] :
( ( ( ~ ( in @ SV103 @ ( sK25_SX0 @ SV37 @ SV103 ) ) )
= $false )
| ( $true = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(810,plain,
! [SV103: $i,SV37: $i] :
( ( ( ~ ( in @ ( sK25_SX0 @ SV37 @ SV103 ) @ SV37 )
| $true )
= $false )
| ( $true = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(811,plain,
! [SV37: $i,SV103: $i] :
( ( ( ~ ( in @ SV103 @ ( sK26_SX0 @ SV37 @ SV103 ) ) )
= $false )
| ( $false = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(812,plain,
! [SV103: $i,SV37: $i] :
( ( ( ~ ( in @ ( sK26_SX0 @ SV37 @ SV103 ) @ SV37 )
| $false )
= $false )
| ( $false = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(813,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(814,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
| ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
| ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[759]) ).
thf(815,plain,
! [SV39: $i,SV105: $i,SV168: $i] :
( ( ( ~ ( in @ SV168 @ SV105 ) )
= $true )
| ( ( in @ SV168 @ SV39 )
= $true )
| ( ( in @ SV105 @ ( powerset @ SV39 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[760]) ).
thf(816,plain,
! [SV105: $i,SV39: $i] :
( ( ( ~ ( in @ ( sK27_SY795 @ SV39 @ SV105 ) @ SV105 ) )
= $false )
| ( ( in @ SV105 @ ( powerset @ SV39 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(817,plain,
! [SV105: $i,SV39: $i] :
( ( ( in @ ( sK27_SY795 @ SV39 @ SV105 ) @ SV39 )
= $false )
| ( ( in @ SV105 @ ( powerset @ SV39 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(818,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ! [SY896: $i] :
( ~ ( SV43 @ ( sK31_SY648 @ SV150 @ SV43 ) )
| ~ ( SV43 @ SY896 )
| ( ( sK31_SY648 @ SV150 @ SV43 )
= SY896 ) ) )
= $false )
| ( ( ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[762]) ).
thf(819,plain,
! [SV162: $i,SV109: $i > $o,SV45: $i] :
( ( ( ! [SY800: $i] :
~ ~ ( ~ ( in @ SY800 @ SV45 )
| ~ ~ ( SV109 @ SY800 ) ) )
= $false )
| ( ( SV109 @ SV162 )
= $true )
| ( ( in @ SV162 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(820,plain,
! [SV151: $i,SV47: $i > $o] :
( ( ( SV47 @ SV151 )
= $false )
| ( ( ~ ! [SY870: $i] :
( ~ ( SV47 @ SY870 )
| ( SV151 = SY870 ) ) )
= $true )
| ( ( ~ ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(821,plain,
! [SV163: $o,SV112: $i,SV49: $i,SV135: $i] :
( ( ( SV135 != SV49 )
= $false )
| ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| SV163 )
| SV163 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[765]) ).
thf(822,plain,
! [SV49: $i,SV112: $i,SV135: $i,SV163: $o] :
( ( SV163 = $false )
| ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| SV163 )
| SV163 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[765]) ).
thf(823,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( ( SV135 != SV49 )
= $false )
| ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| $true )
| $true )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(824,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( $true = $false )
| ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| $true )
| $true )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(825,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( ( SV135 != SV49 )
= $false )
| ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| $false )
| $false )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(826,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( $false = $false )
| ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| $false )
| $false )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(827,plain,
! [SV51: $i,SV114: $i,SV152: $i > $o,SV164: $i > $o] :
( ( ( ~ ( in @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) @ SV51 )
| ! [SY897: $i] :
( ~ ( in @ SY897 @ SV114 )
| ( ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 )
!= SY897 )
| ~ ( ~ ( ~ ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) )
| ( SV164 @ SY897 ) )
| ~ ( ~ ( SV164 @ SY897 )
| ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[768]) ).
thf(828,plain,
! [SV55: $i] :
( ( ~ ~ ( ~ ! [SY841: $i] :
( ~ ( in @ SY841 @ ( sK2_SY683 @ SV55 ) )
| ! [SY685: $i] :
( ~ ( in @ SY685 @ SY841 )
| ( in @ SY685 @ SV55 ) ) )
| ~ ! [SY843: $i,SY844: $i] :
( ~ ~ ( ~ ( in @ SY843 @ SV55 )
| ~ ( in @ SY844 @ SV55 ) )
| ~ ! [SY845: $i] :
( ~ ( in @ SY845 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SY843 @ SY845 )
| ( in @ SY844 @ SY845 ) )
| ~ ( ~ ( in @ SY844 @ SY845 )
| ( in @ SY843 @ SY845 ) ) ) )
| ( SY843 = SY844 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[769]) ).
thf(829,plain,
! [SV55: $i] :
( ( ~ ! [SY846: $i,SY847: $i] :
( ~ ~ ( ~ ( in @ SY846 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY847 @ ( sK2_SY683 @ SV55 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY846 )
| ( in @ SX4 @ SY847 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY847 )
| ( in @ SX4 @ SY846 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[769]) ).
thf(830,plain,
! [SV55: $i,SV169: $i] :
( ( ( ~ ~ ( ~ ! [SY888: $i] :
( ~ ( in @ SY888 @ SV169 )
| ( in @ SY888 @ SV55 ) )
| ~ ~ ! [SY889: $i] :
~ ( in @ SY889 @ SV169 ) ) )
= $true )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(831,plain,
! [SV119: $i > $o,SV61: $i,SV165: $i] :
( ( ( ~ ( in @ SV165 @ SV61 ) )
= $true )
| ( ( ~ ( SV119 @ SV165 ) )
= $true )
| ( ( ( ( dsetconstr @ SV61
@ ^ [SY817: $i] : ( SV119 @ SY817 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[771]) ).
thf(832,plain,
! [SV120: $i > $o,SV62: $i,SV139: $i] :
( ( ( ~ ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY819: $i] : ( SV120 @ SY819 ) ) ) )
= $true )
| ( ( SV120 @ SV139 )
= $true )
| ( ( in @ SV139 @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[772]) ).
thf(833,plain,
! [SV62: $i,SV139: $i,SV120: $i > $o] :
( ( ( ~ ( SV120 @ SV139 ) )
= $true )
| ( ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY820: $i] : ( SV120 @ SY820 ) ) )
= $true )
| ( ( in @ SV139 @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(834,plain,
! [SV63: $i] :
( ( ( ~ ( in @ ( sK19_SY713 @ SV63 ) @ SV63 ) )
= $false )
| ( ( SV63 = emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(835,plain,
! [SV63: $i] :
( ( ( ~ $true ) = $false )
| ( ( SV63 = emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(836,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( ~ ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
| ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 ) ) )
= $true )
| ( ( ~ ( ( ( sK22_SY876 @ SV153 @ SV65 )
!= SV153 )
| ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) ) ) )
= $true )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(837,plain,
! [SV123: $i,SV67: $i > $i > $o] :
( ( ( ~ ! [SY898: $i] :
~ ( ~ ( ~ ( in @ SY898 @ ( sK33_SY825 @ SV67 @ SV123 ) )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY898 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY898 ) )
| ( in @ SY898 @ ( sK33_SY825 @ SV67 @ SV123 ) ) ) ) )
= $false )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[776]) ).
thf(838,plain,
! [SV170: $i,SV123: $i,SV67: $i > $i > $o] :
( ( ( ~ ( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
| ~ ! [SY895: $i] :
( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SY895 )
| ( SV170 = SY895 ) ) ) )
= $false )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(839,plain,
! [SV70: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK28_SY731 @ SV70 ) @ omega )
| ~ ( in @ ( sK28_SY731 @ SV70 ) @ SV70 ) ) )
= $false )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(840,plain,
! [SV70: $i] :
( ( ( in @ ( setadjoin @ ( sK28_SY731 @ SV70 ) @ ( sK28_SY731 @ SV70 ) ) @ SV70 )
= $false )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(841,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( SV71 @ SV155 )
= $false )
| ( ( ~ ! [SY879: $i] :
( ~ ( SV71 @ SY879 )
| ( SV155 = SY879 ) ) )
= $true )
| ( ( ~ ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(842,plain,
! [SV156: $i,SV75: $i > $o] :
( ( ( SV75 @ SV156 )
= $false )
| ( ( ~ ! [SY880: $i] :
( ~ ( SV75 @ SY880 )
| ( SV156 = SY880 ) ) )
= $true )
| ( ( ! [SY744: $i,SY745: $i] :
( ~ ( SV75 @ SY744 )
| ~ ( SV75 @ SY745 )
| ( SY744 = SY745 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(843,plain,
! [SV127: $i,SV166: $i,SV76: $i,SV157: $i] :
( ( ( ~ ( ~ ( in @ SV157 @ SV76 )
| ( in @ SV166 @ SV127 ) )
| ~ ( ~ ( in @ SV166 @ SV127 )
| ( in @ SV157 @ SV76 ) ) )
= $false )
| ( ( SV157 = SV166 )
= $false )
| ( ( SV76 = SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(844,plain,
! [SV128: $i,SV167: $i,SV77: $i,SV158: $i] :
( ( ( ~ ( in @ SV158 @ SV77 ) )
= $true )
| ( ( in @ SV167 @ SV128 )
= $true )
| ( ( SV158 = SV167 )
= $false )
| ( ( SV77 = SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[784]) ).
thf(845,plain,
! [SV10: $i,SV81: $i > $o,SV159: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK34_SY753 @ SV159 @ SV81 @ SV10 ) @ SV10 )
| ~ ~ ( SV81 @ ( sK34_SY753 @ SV159 @ SV81 @ SV10 ) ) ) )
= $false )
| ( ( SV81 @ SV159 )
= $true )
| ( ( in @ SV159 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[785]) ).
thf(846,plain,
! [SV143: $i,SV12: $i > $o] :
( ( ( ! [SY862: $i] :
( ~ ( SV12 @ SY862 )
| ( SV143 = SY862 ) ) )
= $false )
| ( ( SV12 @ SV143 )
= $false )
| ( ( ! [SY564: $i,SY565: $i] :
( ~ ( SV12 @ SY564 )
| ~ ( SV12 @ SY565 )
| ( SY564 = SY565 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(847,plain,
! [SV82: $i > $o,SV13: $i,SV172: $i] :
( ( ( ~ ~ ( ~ ( in @ SV172 @ SV13 )
| ~ ( SV82 @ SV172 ) ) )
= $true )
| ( ( in @ ( sK7_SY754 @ SV82 @ SV13 ) @ SV13 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(848,plain,
! [SV82: $i > $o,SV13: $i,SV173: $i] :
( ( ( ~ ~ ( ~ ( in @ SV173 @ SV13 )
| ~ ( SV82 @ SV173 ) ) )
= $true )
| ( ( SV82 @ ( sK7_SY754 @ SV82 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(849,plain,
! [SV15: $i,SV84: $i] :
( ( ( ~ ( ~ ( in @ SV84 @ ( sK29_SY758 @ SV15 @ SV84 ) )
| ~ ( in @ ( sK29_SY758 @ SV15 @ SV84 ) @ SV15 ) ) )
= $true )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(850,plain,
! [SV15: $i,SV171: $i,SV84: $i] :
( ( ( ~ ( ~ ( in @ SV84 @ SV171 )
| ~ ( in @ SV171 @ SV15 ) ) )
= $false )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(851,plain,
! [SV145: $i,SV18: $i > $o] :
( ( ( ! [SY864: $i] :
( ~ ( SV18 @ SY864 )
| ( SV145 = SY864 ) ) )
= $false )
| ( ( SV18 @ SV145 )
= $false )
| ( ( ~ ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(852,plain,
! [SV88: $i > $o,SV20: $i,SV161: $i] :
( ( ( in @ SV161 @ SV20 )
= $false )
| ( ( ~ ~ ( SV88 @ SV161 ) )
= $true )
| ( ( ~ ! [SY761: $i] :
( ~ ( in @ SY761 @ SV20 )
| ( SV88 @ SY761 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(853,plain,
! [SV21: $i,SV89: $i > $o] :
( ( ( ~ ( in @ ( sK20_SY762 @ SV89 @ SV21 ) @ SV21 ) )
= $false )
| ( ( ! [SY763: $i] :
( ~ ( in @ SY763 @ SV21 )
| ~ ( SV89 @ SY763 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(854,plain,
! [SV21: $i,SV89: $i > $o] :
( ( ( ~ ( SV89 @ ( sK20_SY762 @ SV89 @ SV21 ) ) )
= $false )
| ( ( ! [SY763: $i] :
( ~ ( in @ SY763 @ SV21 )
| ~ ( SV89 @ SY763 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(855,plain,
! [SV22: $i,SV146: $i] :
( ( ( ~ ( in @ ( sK23_SY588 @ SV146 @ SV22 ) @ SV22 )
| ~ ~ ~ ! [SY887: $i] :
~ ~ ( ~ ( in @ SY887 @ ( sK23_SY588 @ SV146 @ SV22 ) )
| ~ ( in @ SY887 @ SV22 ) ) )
= $false )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(856,plain,
! [SV98: $i,SV30: $i] :
( ( ( ~ ( in @ ( sK35_SY770 @ SV30 @ SV98 ) @ SV98 )
| ( in @ ( sK35_SY770 @ SV30 @ SV98 ) @ SV30 ) )
= $false )
| ( ( SV30 = SV98 )
= $true )
| ( ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[798]) ).
thf(857,plain,
! [SV98: $i,SV30: $i] :
( ( ( ~ ( in @ ( sK30_SY770 @ SV30 @ SV98 ) @ SV98 ) )
= $false )
| ( ( SV30 = SV98 )
= $true )
| ( ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV98 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(858,plain,
! [SV98: $i,SV30: $i] :
( ( ( in @ ( sK30_SY770 @ SV30 @ SV98 ) @ SV30 )
= $false )
| ( ( SV30 = SV98 )
= $true )
| ( ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV98 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(859,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ! [SY865: $i] :
( ~ ( SV31 @ SY865 )
| ( SV147 = SY865 ) ) )
= $false )
| ( ( SV31 @ SV147 )
= $false )
| ( ( ~ ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(860,plain,
! [SV148: $i,SV33: $i > $o] :
( ( ( ! [SY866: $i] :
( ~ ( SV33 @ SY866 )
| ( SV148 = SY866 ) ) )
= $false )
| ( ( SV33 @ SV148 )
= $false )
| ( ( SV33
@ ( descr
@ ^ [SY611: $i] : ( SV33 @ SY611 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(861,plain,
! [SV34: $i,SV100: $i] :
( ( ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
| ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 ) ) )
= $true )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[802]) ).
thf(862,plain,
! [SV34: $i,SV100: $i] :
( ( ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
| ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 ) )
= $false )
| ( ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
= $false )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(863,plain,
! [SV35: $i,SV101: $i > $o] :
( ( ( ~ ( in @ ( sK21_SY772 @ SV101 @ SV35 ) @ SV35 ) )
= $false )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV35 )
| ~ ( SV101 @ SY773 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[804]) ).
thf(864,plain,
! [SV35: $i,SV101: $i > $o] :
( ( ( ~ ( SV101 @ ( sK21_SY772 @ SV101 @ SV35 ) ) )
= $false )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV35 )
| ~ ( SV101 @ SY773 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[804]) ).
thf(865,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[805]) ).
thf(866,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
| ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) ) )
= $false )
| ( ( ~ ( ~ ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
| ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(867,plain,
! [SV37: $i,SV149: $o,SV103: $i] :
( ( ( in @ SV103 @ ( sK24_SY868 @ SV149 @ SV37 @ SV103 ) )
= $true )
| ( SV149 = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(868,plain,
! [SV103: $i,SV37: $i,SV149: $o] :
( ( ( ~ ( in @ ( sK24_SY868 @ SV149 @ SV37 @ SV103 ) @ SV37 ) )
= $false )
| ( SV149 = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(869,plain,
! [SV37: $i,SV103: $i,SV149: $o] :
( ( SV149 = $false )
| ( SV149 = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(870,plain,
! [SV37: $i,SV103: $i] :
( ( ( in @ SV103 @ ( sK25_SX0 @ SV37 @ SV103 ) )
= $true )
| ( $true = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[809]) ).
thf(871,plain,
! [SV103: $i,SV37: $i] :
( ( ( ~ ( in @ ( sK25_SX0 @ SV37 @ SV103 ) @ SV37 ) )
= $false )
| ( $true = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(872,plain,
! [SV37: $i,SV103: $i] :
( ( $true = $false )
| ( $true = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(873,plain,
! [SV37: $i,SV103: $i] :
( ( ( in @ SV103 @ ( sK26_SX0 @ SV37 @ SV103 ) )
= $true )
| ( $false = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(874,plain,
! [SV103: $i,SV37: $i] :
( ( ( ~ ( in @ ( sK26_SX0 @ SV37 @ SV103 ) @ SV37 ) )
= $false )
| ( $false = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[812]) ).
thf(875,plain,
! [SV37: $i,SV103: $i] :
( ( $false = $false )
| ( $false = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[812]) ).
thf(876,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[813]) ).
thf(877,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[813]) ).
thf(878,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
| ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) ) )
= $false )
| ( ( ~ ( ~ ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
| ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(879,plain,
! [SV39: $i,SV105: $i,SV168: $i] :
( ( ( in @ SV168 @ SV105 )
= $false )
| ( ( in @ SV168 @ SV39 )
= $true )
| ( ( in @ SV105 @ ( powerset @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(880,plain,
! [SV105: $i,SV39: $i] :
( ( ( in @ ( sK27_SY795 @ SV39 @ SV105 ) @ SV105 )
= $true )
| ( ( in @ SV105 @ ( powerset @ SV39 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(881,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ ( sK31_SY648 @ SV150 @ SV43 ) )
| ~ ( SV43 @ ( sK36_SY896 @ SV150 @ SV43 ) )
| ( ( sK31_SY648 @ SV150 @ SV43 )
= ( sK36_SY896 @ SV150 @ SV43 ) ) )
= $false )
| ( ( ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[818]) ).
thf(882,plain,
! [SV45: $i,SV109: $i > $o,SV162: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK37_SY800 @ SV162 @ SV109 @ SV45 ) @ SV45 )
| ~ ~ ( SV109 @ ( sK37_SY800 @ SV162 @ SV109 @ SV45 ) ) ) )
= $false )
| ( ( SV109 @ SV162 )
= $true )
| ( ( in @ SV162 @ SV45 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[819]) ).
thf(883,plain,
! [SV151: $i,SV47: $i > $o] :
( ( ( ! [SY870: $i] :
( ~ ( SV47 @ SY870 )
| ( SV151 = SY870 ) ) )
= $false )
| ( ( SV47 @ SV151 )
= $false )
| ( ( ~ ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(884,plain,
! [SV163: $o,SV112: $i,SV49: $i,SV135: $i] :
( ( ( SV135 = SV49 )
= $true )
| ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| SV163 )
| SV163 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(885,plain,
! [SV49: $i,SV163: $o,SV112: $i,SV135: $i] :
( ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| SV163 ) )
= $true )
| ( SV163 = $true )
| ( SV163 = $false )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[822]) ).
thf(886,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( ( SV135 = SV49 )
= $true )
| ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| $true )
| $true )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[823]) ).
thf(887,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| $true ) )
= $true )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[824]) ).
thf(888,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( ( SV135 = SV49 )
= $true )
| ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| $false )
| $false )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[825]) ).
thf(889,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| $false ) )
= $true )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(890,plain,
! [SV51: $i,SV114: $i,SV152: $i > $o,SV164: $i > $o] :
( ( ( ~ ( in @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) @ SV51 ) )
= $false )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[827]) ).
thf(891,plain,
! [SV51: $i,SV152: $i > $o,SV164: $i > $o,SV114: $i] :
( ( ( ! [SY897: $i] :
( ~ ( in @ SY897 @ SV114 )
| ( ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 )
!= SY897 )
| ~ ( ~ ( ~ ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) )
| ( SV164 @ SY897 ) )
| ~ ( ~ ( SV164 @ SY897 )
| ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[827]) ).
thf(892,plain,
! [SV55: $i] :
( ( ~ ( ~ ! [SY841: $i] :
( ~ ( in @ SY841 @ ( sK2_SY683 @ SV55 ) )
| ! [SY685: $i] :
( ~ ( in @ SY685 @ SY841 )
| ( in @ SY685 @ SV55 ) ) )
| ~ ! [SY843: $i,SY844: $i] :
( ~ ~ ( ~ ( in @ SY843 @ SV55 )
| ~ ( in @ SY844 @ SV55 ) )
| ~ ! [SY845: $i] :
( ~ ( in @ SY845 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SY843 @ SY845 )
| ( in @ SY844 @ SY845 ) )
| ~ ( ~ ( in @ SY844 @ SY845 )
| ( in @ SY843 @ SY845 ) ) ) )
| ( SY843 = SY844 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[828]) ).
thf(893,plain,
! [SV55: $i] :
( ( ! [SY846: $i,SY847: $i] :
( ~ ~ ( ~ ( in @ SY846 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY847 @ ( sK2_SY683 @ SV55 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY846 )
| ( in @ SX4 @ SY847 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY847 )
| ( in @ SX4 @ SY846 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[829]) ).
thf(894,plain,
! [SV55: $i,SV169: $i] :
( ( ( ~ ( ~ ! [SY888: $i] :
( ~ ( in @ SY888 @ SV169 )
| ( in @ SY888 @ SV55 ) )
| ~ ~ ! [SY889: $i] :
~ ( in @ SY889 @ SV169 ) ) )
= $false )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(895,plain,
! [SV119: $i > $o,SV61: $i,SV165: $i] :
( ( ( in @ SV165 @ SV61 )
= $false )
| ( ( ~ ( SV119 @ SV165 ) )
= $true )
| ( ( ( ( dsetconstr @ SV61
@ ^ [SY817: $i] : ( SV119 @ SY817 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(896,plain,
! [SV120: $i > $o,SV62: $i,SV139: $i] :
( ( ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY819: $i] : ( SV120 @ SY819 ) ) )
= $false )
| ( ( SV120 @ SV139 )
= $true )
| ( ( in @ SV139 @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(897,plain,
! [SV62: $i,SV139: $i,SV120: $i > $o] :
( ( ( SV120 @ SV139 )
= $false )
| ( ( in @ SV139
@ ( dsetconstr @ SV62
@ ^ [SY820: $i] : ( SV120 @ SY820 ) ) )
= $true )
| ( ( in @ SV139 @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(898,plain,
! [SV63: $i] :
( ( ( in @ ( sK19_SY713 @ SV63 ) @ SV63 )
= $true )
| ( ( SV63 = emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[834]) ).
thf(899,plain,
! [SV63: $i] :
( ( $true = $true )
| ( ( SV63 = emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(900,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
| ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 ) )
= $false )
| ( ( ~ ( ( ( sK22_SY876 @ SV153 @ SV65 )
!= SV153 )
| ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) ) ) )
= $true )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(901,plain,
! [SV123: $i,SV67: $i > $i > $o] :
( ( ( ! [SY898: $i] :
~ ( ~ ( ~ ( in @ SY898 @ ( sK33_SY825 @ SV67 @ SV123 ) )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY898 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY898 ) )
| ( in @ SY898 @ ( sK33_SY825 @ SV67 @ SV123 ) ) ) ) )
= $true )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[837]) ).
thf(902,plain,
! [SV170: $i,SV123: $i,SV67: $i > $i > $o] :
( ( ( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
| ~ ! [SY895: $i] :
( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SY895 )
| ( SV170 = SY895 ) ) )
= $true )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[838]) ).
thf(903,plain,
! [SV70: $i] :
( ( ( ~ ( ~ ( in @ ( sK28_SY731 @ SV70 ) @ omega )
| ~ ( in @ ( sK28_SY731 @ SV70 ) @ SV70 ) ) )
= $true )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[839]) ).
thf(904,plain,
! [SV70: $i,SV174: $i] :
( ( ( ~ ( in @ SV174 @ omega )
| ( in @ SV174 @ SV70 ) )
= $true )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( in @ ( setadjoin @ ( sK28_SY731 @ SV70 ) @ ( sK28_SY731 @ SV70 ) ) @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(905,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ! [SY879: $i] :
( ~ ( SV71 @ SY879 )
| ( SV155 = SY879 ) ) )
= $false )
| ( ( SV71 @ SV155 )
= $false )
| ( ( ~ ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(906,plain,
! [SV156: $i,SV75: $i > $o] :
( ( ( ! [SY880: $i] :
( ~ ( SV75 @ SY880 )
| ( SV156 = SY880 ) ) )
= $false )
| ( ( SV75 @ SV156 )
= $false )
| ( ( ! [SY744: $i,SY745: $i] :
( ~ ( SV75 @ SY744 )
| ~ ( SV75 @ SY745 )
| ( SY744 = SY745 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(907,plain,
! [SV127: $i,SV166: $i,SV76: $i,SV157: $i] :
( ( ( ~ ( ~ ( in @ SV157 @ SV76 )
| ( in @ SV166 @ SV127 ) ) )
= $false )
| ( ( SV157 = SV166 )
= $false )
| ( ( SV76 = SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[843]) ).
thf(908,plain,
! [SV76: $i,SV157: $i,SV127: $i,SV166: $i] :
( ( ( ~ ( ~ ( in @ SV166 @ SV127 )
| ( in @ SV157 @ SV76 ) ) )
= $false )
| ( ( SV157 = SV166 )
= $false )
| ( ( SV76 = SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[843]) ).
thf(909,plain,
! [SV128: $i,SV167: $i,SV77: $i,SV158: $i] :
( ( ( in @ SV158 @ SV77 )
= $false )
| ( ( in @ SV167 @ SV128 )
= $true )
| ( ( SV158 = SV167 )
= $false )
| ( ( SV77 = SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(910,plain,
! [SV10: $i,SV81: $i > $o,SV159: $i] :
( ( ( ~ ( ~ ( in @ ( sK34_SY753 @ SV159 @ SV81 @ SV10 ) @ SV10 )
| ~ ~ ( SV81 @ ( sK34_SY753 @ SV159 @ SV81 @ SV10 ) ) ) )
= $true )
| ( ( SV81 @ SV159 )
= $true )
| ( ( in @ SV159 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[845]) ).
thf(911,plain,
! [SV143: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ ( sK38_SY862 @ SV143 @ SV12 ) )
| ( SV143
= ( sK38_SY862 @ SV143 @ SV12 ) ) )
= $false )
| ( ( SV12 @ SV143 )
= $false )
| ( ( ! [SY564: $i,SY565: $i] :
( ~ ( SV12 @ SY564 )
| ~ ( SV12 @ SY565 )
| ( SY564 = SY565 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[846]) ).
thf(912,plain,
! [SV82: $i > $o,SV13: $i,SV172: $i] :
( ( ( ~ ( ~ ( in @ SV172 @ SV13 )
| ~ ( SV82 @ SV172 ) ) )
= $false )
| ( ( in @ ( sK7_SY754 @ SV82 @ SV13 ) @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(913,plain,
! [SV82: $i > $o,SV13: $i,SV173: $i] :
( ( ( ~ ( ~ ( in @ SV173 @ SV13 )
| ~ ( SV82 @ SV173 ) ) )
= $false )
| ( ( SV82 @ ( sK7_SY754 @ SV82 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(914,plain,
! [SV15: $i,SV84: $i] :
( ( ( ~ ( in @ SV84 @ ( sK29_SY758 @ SV15 @ SV84 ) )
| ~ ( in @ ( sK29_SY758 @ SV15 @ SV84 ) @ SV15 ) )
= $false )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(915,plain,
! [SV15: $i,SV171: $i,SV84: $i] :
( ( ( ~ ( in @ SV84 @ SV171 )
| ~ ( in @ SV171 @ SV15 ) )
= $true )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[850]) ).
thf(916,plain,
! [SV145: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ ( sK39_SY864 @ SV145 @ SV18 ) )
| ( SV145
= ( sK39_SY864 @ SV145 @ SV18 ) ) )
= $false )
| ( ( SV18 @ SV145 )
= $false )
| ( ( ~ ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[851]) ).
thf(917,plain,
! [SV20: $i,SV161: $i,SV88: $i > $o] :
( ( ( ~ ( SV88 @ SV161 ) )
= $false )
| ( ( in @ SV161 @ SV20 )
= $false )
| ( ( ~ ! [SY761: $i] :
( ~ ( in @ SY761 @ SV20 )
| ( SV88 @ SY761 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(918,plain,
! [SV21: $i,SV89: $i > $o] :
( ( ( in @ ( sK20_SY762 @ SV89 @ SV21 ) @ SV21 )
= $true )
| ( ( ! [SY763: $i] :
( ~ ( in @ SY763 @ SV21 )
| ~ ( SV89 @ SY763 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[853]) ).
thf(919,plain,
! [SV21: $i,SV89: $i > $o] :
( ( ( SV89 @ ( sK20_SY762 @ SV89 @ SV21 ) )
= $true )
| ( ( ! [SY763: $i] :
( ~ ( in @ SY763 @ SV21 )
| ~ ( SV89 @ SY763 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[854]) ).
thf(920,plain,
! [SV22: $i,SV146: $i] :
( ( ( ~ ( in @ ( sK23_SY588 @ SV146 @ SV22 ) @ SV22 ) )
= $false )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[855]) ).
thf(921,plain,
! [SV22: $i,SV146: $i] :
( ( ( ~ ~ ~ ! [SY887: $i] :
~ ~ ( ~ ( in @ SY887 @ ( sK23_SY588 @ SV146 @ SV22 ) )
| ~ ( in @ SY887 @ SV22 ) ) )
= $false )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[855]) ).
thf(922,plain,
! [SV98: $i,SV30: $i] :
( ( ( ~ ( in @ ( sK35_SY770 @ SV30 @ SV98 ) @ SV98 ) )
= $false )
| ( ( SV30 = SV98 )
= $true )
| ( ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[856]) ).
thf(923,plain,
! [SV98: $i,SV30: $i] :
( ( ( in @ ( sK35_SY770 @ SV30 @ SV98 ) @ SV30 )
= $false )
| ( ( SV30 = SV98 )
= $true )
| ( ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[856]) ).
thf(924,plain,
! [SV98: $i,SV30: $i] :
( ( ( in @ ( sK30_SY770 @ SV30 @ SV98 ) @ SV98 )
= $true )
| ( ( SV30 = SV98 )
= $true )
| ( ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV98 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[857]) ).
thf(925,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ ( sK40_SY865 @ SV147 @ SV31 ) )
| ( SV147
= ( sK40_SY865 @ SV147 @ SV31 ) ) )
= $false )
| ( ( SV31 @ SV147 )
= $false )
| ( ( ~ ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[859]) ).
thf(926,plain,
! [SV148: $i,SV33: $i > $o] :
( ( ( ~ ( SV33 @ ( sK41_SY866 @ SV148 @ SV33 ) )
| ( SV148
= ( sK41_SY866 @ SV148 @ SV33 ) ) )
= $false )
| ( ( SV33 @ SV148 )
= $false )
| ( ( SV33
@ ( descr
@ ^ [SY611: $i] : ( SV33 @ SY611 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[860]) ).
thf(927,plain,
! [SV34: $i,SV100: $i] :
( ( ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
| ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 ) )
= $false )
| ( ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 )
= $true )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(928,plain,
! [SV34: $i,SV100: $i] :
( ( ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 ) )
= $false )
| ( ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
= $false )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(929,plain,
! [SV34: $i,SV100: $i] :
( ( ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 )
= $false )
| ( ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
= $false )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(930,plain,
! [SV35: $i,SV101: $i > $o] :
( ( ( in @ ( sK21_SY772 @ SV101 @ SV35 ) @ SV35 )
= $true )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV35 )
| ~ ( SV101 @ SY773 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(931,plain,
! [SV35: $i,SV101: $i > $o] :
( ( ( SV101 @ ( sK21_SY772 @ SV101 @ SV35 ) )
= $true )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV35 )
| ~ ( SV101 @ SY773 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[864]) ).
thf(932,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[865]) ).
thf(933,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) ) )
= $false )
| ( ( ~ ( ~ ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
| ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[866]) ).
thf(934,plain,
! [SV36: $i > $o,SV102: $i > $o] :
( ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( ~ ( ~ ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
| ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[866]) ).
thf(935,plain,
! [SV103: $i,SV37: $i,SV149: $o] :
( ( ( in @ ( sK24_SY868 @ SV149 @ SV37 @ SV103 ) @ SV37 )
= $true )
| ( SV149 = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[868]) ).
thf(936,plain,
! [SV103: $i,SV37: $i] :
( ( ( in @ ( sK25_SX0 @ SV37 @ SV103 ) @ SV37 )
= $true )
| ( $true = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[871]) ).
thf(937,plain,
! [SV103: $i,SV37: $i] :
( ( ( in @ ( sK26_SX0 @ SV37 @ SV103 ) @ SV37 )
= $true )
| ( $false = $true )
| ( ( in @ SV103 @ ( setunion @ SV37 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[874]) ).
thf(938,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[876]) ).
thf(939,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[877]) ).
thf(940,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) ) )
= $false )
| ( ( ~ ( ~ ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
| ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[878]) ).
thf(941,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( ~ ( ~ ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
| ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[878]) ).
thf(942,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ ( sK31_SY648 @ SV150 @ SV43 ) ) )
= $false )
| ( ( ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(943,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ ( sK36_SY896 @ SV150 @ SV43 ) )
| ( ( sK31_SY648 @ SV150 @ SV43 )
= ( sK36_SY896 @ SV150 @ SV43 ) ) )
= $false )
| ( ( ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(944,plain,
! [SV45: $i,SV109: $i > $o,SV162: $i] :
( ( ( ~ ( ~ ( in @ ( sK37_SY800 @ SV162 @ SV109 @ SV45 ) @ SV45 )
| ~ ~ ( SV109 @ ( sK37_SY800 @ SV162 @ SV109 @ SV45 ) ) ) )
= $true )
| ( ( SV109 @ SV162 )
= $true )
| ( ( in @ SV162 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[882]) ).
thf(945,plain,
! [SV151: $i,SV47: $i > $o] :
( ( ( ~ ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) )
| ( SV151
= ( sK42_SY870 @ SV151 @ SV47 ) ) )
= $false )
| ( ( SV47 @ SV151 )
= $false )
| ( ( ~ ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[883]) ).
thf(946,plain,
! [SV49: $i,SV163: $o,SV112: $i,SV135: $i] :
( ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| SV163 ) )
= $true )
| ( SV163 = $true )
| ( ( SV135 = SV49 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[884]) ).
thf(947,plain,
! [SV49: $i,SV163: $o,SV112: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ SV112 )
| SV163 )
= $false )
| ( SV163 = $true )
| ( SV163 = $false )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(948,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| $true ) )
= $true )
| ( $true = $true )
| ( ( SV135 = SV49 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(949,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ SV112 )
| $true )
= $false )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(950,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( ~ ( ~ ( in @ SV135 @ SV112 )
| $false ) )
= $true )
| ( $false = $true )
| ( ( SV135 = SV49 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(951,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ SV112 )
| $false )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(952,plain,
! [SV51: $i,SV114: $i,SV152: $i > $o,SV164: $i > $o] :
( ( ( in @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) @ SV51 )
= $true )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[890]) ).
thf(953,plain,
! [SV114: $i,SV164: $i > $o,SV152: $i > $o,SV51: $i] :
( ( ( ~ ( in @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) @ SV114 )
| ( ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 )
!= ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
| ~ ( ~ ( ~ ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) )
| ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) ) )
| ~ ( ~ ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
| ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[891]) ).
thf(954,plain,
! [SV55: $i] :
( ( ~ ! [SY841: $i] :
( ~ ( in @ SY841 @ ( sK2_SY683 @ SV55 ) )
| ! [SY685: $i] :
( ~ ( in @ SY685 @ SY841 )
| ( in @ SY685 @ SV55 ) ) )
| ~ ! [SY843: $i,SY844: $i] :
( ~ ~ ( ~ ( in @ SY843 @ SV55 )
| ~ ( in @ SY844 @ SV55 ) )
| ~ ! [SY845: $i] :
( ~ ( in @ SY845 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SY843 @ SY845 )
| ( in @ SY844 @ SY845 ) )
| ~ ( ~ ( in @ SY844 @ SY845 )
| ( in @ SY843 @ SY845 ) ) ) )
| ( SY843 = SY844 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(955,plain,
! [SV55: $i,SV175: $i] :
( ( ! [SY901: $i] :
( ~ ~ ( ~ ( in @ SV175 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY901 @ ( sK2_SY683 @ SV55 ) ) )
| ! [SY902: $i] :
( ~ ( in @ SY902 @ SV175 )
| ( in @ SY902 @ SY901 ) )
| ! [SY903: $i] :
( ~ ( in @ SY903 @ SY901 )
| ( in @ SY903 @ SV175 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(956,plain,
! [SV55: $i,SV169: $i] :
( ( ( ~ ! [SY888: $i] :
( ~ ( in @ SY888 @ SV169 )
| ( in @ SY888 @ SV55 ) )
| ~ ~ ! [SY889: $i] :
~ ( in @ SY889 @ SV169 ) )
= $true )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[894]) ).
thf(957,plain,
! [SV61: $i,SV165: $i,SV119: $i > $o] :
( ( ( SV119 @ SV165 )
= $false )
| ( ( in @ SV165 @ SV61 )
= $false )
| ( ( ( ( dsetconstr @ SV61
@ ^ [SY817: $i] : ( SV119 @ SY817 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(958,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) ) )
= $false )
| ( ( ~ ( ( ( sK22_SY876 @ SV153 @ SV65 )
!= SV153 )
| ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) ) ) )
= $true )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[900]) ).
thf(959,plain,
! [SV65: $i > $o,SV153: $i] :
( ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ~ ( ( ( sK22_SY876 @ SV153 @ SV65 )
!= SV153 )
| ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) ) ) )
= $true )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[900]) ).
thf(960,plain,
! [SV123: $i,SV67: $i > $i > $o,SV176: $i] :
( ( ( ~ ( ~ ( ~ ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
| ~ ! [SY904: $i] :
~ ~ ( ~ ( in @ SY904 @ SV123 )
| ~ ( SV67 @ SY904 @ SV176 ) ) )
| ~ ( ~ ~ ! [SY905: $i] :
~ ~ ( ~ ( in @ SY905 @ SV123 )
| ~ ( SV67 @ SY905 @ SV176 ) )
| ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) ) ) ) )
= $true )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(961,plain,
! [SV170: $i,SV123: $i,SV67: $i > $i > $o] :
( ( ( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 ) )
= $true )
| ( ( ~ ! [SY895: $i] :
( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SY895 )
| ( SV170 = SY895 ) ) )
= $true )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[902]) ).
thf(962,plain,
! [SV70: $i] :
( ( ( ~ ( in @ ( sK28_SY731 @ SV70 ) @ omega )
| ~ ( in @ ( sK28_SY731 @ SV70 ) @ SV70 ) )
= $false )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(963,plain,
! [SV70: $i,SV174: $i] :
( ( ( ~ ( in @ SV174 @ omega ) )
= $true )
| ( ( in @ SV174 @ SV70 )
= $true )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( in @ ( setadjoin @ ( sK28_SY731 @ SV70 ) @ ( sK28_SY731 @ SV70 ) ) @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[904]) ).
thf(964,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ ( sK44_SY879 @ SV155 @ SV71 ) )
| ( SV155
= ( sK44_SY879 @ SV155 @ SV71 ) ) )
= $false )
| ( ( SV71 @ SV155 )
= $false )
| ( ( ~ ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[905]) ).
thf(965,plain,
! [SV156: $i,SV75: $i > $o] :
( ( ( ~ ( SV75 @ ( sK45_SY880 @ SV156 @ SV75 ) )
| ( SV156
= ( sK45_SY880 @ SV156 @ SV75 ) ) )
= $false )
| ( ( SV75 @ SV156 )
= $false )
| ( ( ! [SY744: $i,SY745: $i] :
( ~ ( SV75 @ SY744 )
| ~ ( SV75 @ SY745 )
| ( SY744 = SY745 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[906]) ).
thf(966,plain,
! [SV127: $i,SV166: $i,SV76: $i,SV157: $i] :
( ( ( ~ ( in @ SV157 @ SV76 )
| ( in @ SV166 @ SV127 ) )
= $true )
| ( ( SV157 = SV166 )
= $false )
| ( ( SV76 = SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[907]) ).
thf(967,plain,
! [SV76: $i,SV157: $i,SV127: $i,SV166: $i] :
( ( ( ~ ( in @ SV166 @ SV127 )
| ( in @ SV157 @ SV76 ) )
= $true )
| ( ( SV157 = SV166 )
= $false )
| ( ( SV76 = SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[908]) ).
thf(968,plain,
! [SV10: $i,SV81: $i > $o,SV159: $i] :
( ( ( ~ ( in @ ( sK34_SY753 @ SV159 @ SV81 @ SV10 ) @ SV10 )
| ~ ~ ( SV81 @ ( sK34_SY753 @ SV159 @ SV81 @ SV10 ) ) )
= $false )
| ( ( SV81 @ SV159 )
= $true )
| ( ( in @ SV159 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(969,plain,
! [SV143: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ ( sK38_SY862 @ SV143 @ SV12 ) ) )
= $false )
| ( ( SV12 @ SV143 )
= $false )
| ( ( ! [SY564: $i,SY565: $i] :
( ~ ( SV12 @ SY564 )
| ~ ( SV12 @ SY565 )
| ( SY564 = SY565 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[911]) ).
thf(970,plain,
! [SV12: $i > $o,SV143: $i] :
( ( ( SV143
= ( sK38_SY862 @ SV143 @ SV12 ) )
= $false )
| ( ( SV12 @ SV143 )
= $false )
| ( ( ! [SY564: $i,SY565: $i] :
( ~ ( SV12 @ SY564 )
| ~ ( SV12 @ SY565 )
| ( SY564 = SY565 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[911]) ).
thf(971,plain,
! [SV82: $i > $o,SV13: $i,SV172: $i] :
( ( ( ~ ( in @ SV172 @ SV13 )
| ~ ( SV82 @ SV172 ) )
= $true )
| ( ( in @ ( sK7_SY754 @ SV82 @ SV13 ) @ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[912]) ).
thf(972,plain,
! [SV82: $i > $o,SV13: $i,SV173: $i] :
( ( ( ~ ( in @ SV173 @ SV13 )
| ~ ( SV82 @ SV173 ) )
= $true )
| ( ( SV82 @ ( sK7_SY754 @ SV82 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[913]) ).
thf(973,plain,
! [SV15: $i,SV84: $i] :
( ( ( ~ ( in @ SV84 @ ( sK29_SY758 @ SV15 @ SV84 ) ) )
= $false )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(974,plain,
! [SV84: $i,SV15: $i] :
( ( ( ~ ( in @ ( sK29_SY758 @ SV15 @ SV84 ) @ SV15 ) )
= $false )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(975,plain,
! [SV15: $i,SV171: $i,SV84: $i] :
( ( ( ~ ( in @ SV84 @ SV171 ) )
= $true )
| ( ( ~ ( in @ SV171 @ SV15 ) )
= $true )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[915]) ).
thf(976,plain,
! [SV145: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ ( sK39_SY864 @ SV145 @ SV18 ) ) )
= $false )
| ( ( SV18 @ SV145 )
= $false )
| ( ( ~ ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(977,plain,
! [SV18: $i > $o,SV145: $i] :
( ( ( SV145
= ( sK39_SY864 @ SV145 @ SV18 ) )
= $false )
| ( ( SV18 @ SV145 )
= $false )
| ( ( ~ ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(978,plain,
! [SV20: $i,SV161: $i,SV88: $i > $o] :
( ( ( SV88 @ SV161 )
= $true )
| ( ( in @ SV161 @ SV20 )
= $false )
| ( ( ~ ! [SY761: $i] :
( ~ ( in @ SY761 @ SV20 )
| ( SV88 @ SY761 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[917]) ).
thf(979,plain,
! [SV89: $i > $o,SV21: $i,SV177: $i] :
( ( ( ~ ( in @ SV177 @ SV21 )
| ~ ( SV89 @ SV177 ) )
= $true )
| ( ( in @ ( sK20_SY762 @ SV89 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[918]) ).
thf(980,plain,
! [SV89: $i > $o,SV21: $i,SV178: $i] :
( ( ( ~ ( in @ SV178 @ SV21 )
| ~ ( SV89 @ SV178 ) )
= $true )
| ( ( SV89 @ ( sK20_SY762 @ SV89 @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(981,plain,
! [SV22: $i,SV146: $i] :
( ( ( in @ ( sK23_SY588 @ SV146 @ SV22 ) @ SV22 )
= $true )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[920]) ).
thf(982,plain,
! [SV22: $i,SV146: $i] :
( ( ( ~ ~ ! [SY887: $i] :
~ ~ ( ~ ( in @ SY887 @ ( sK23_SY588 @ SV146 @ SV22 ) )
| ~ ( in @ SY887 @ SV22 ) ) )
= $true )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[921]) ).
thf(983,plain,
! [SV98: $i,SV30: $i] :
( ( ( in @ ( sK35_SY770 @ SV30 @ SV98 ) @ SV98 )
= $true )
| ( ( SV30 = SV98 )
= $true )
| ( ( in @ ( sK8_SY769 @ SV98 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[922]) ).
thf(984,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ ( sK40_SY865 @ SV147 @ SV31 ) ) )
= $false )
| ( ( SV31 @ SV147 )
= $false )
| ( ( ~ ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[925]) ).
thf(985,plain,
! [SV31: $i > $o,SV147: $i] :
( ( ( SV147
= ( sK40_SY865 @ SV147 @ SV31 ) )
= $false )
| ( ( SV31 @ SV147 )
= $false )
| ( ( ~ ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[925]) ).
thf(986,plain,
! [SV148: $i,SV33: $i > $o] :
( ( ( ~ ( SV33 @ ( sK41_SY866 @ SV148 @ SV33 ) ) )
= $false )
| ( ( SV33 @ SV148 )
= $false )
| ( ( SV33
@ ( descr
@ ^ [SY611: $i] : ( SV33 @ SY611 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(987,plain,
! [SV33: $i > $o,SV148: $i] :
( ( ( SV148
= ( sK41_SY866 @ SV148 @ SV33 ) )
= $false )
| ( ( SV33 @ SV148 )
= $false )
| ( ( SV33
@ ( descr
@ ^ [SY611: $i] : ( SV33 @ SY611 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(988,plain,
! [SV34: $i,SV100: $i] :
( ( ( ~ ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 ) )
= $false )
| ( ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 )
= $true )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(989,plain,
! [SV34: $i,SV100: $i] :
( ( ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 )
= $false )
| ( ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 )
= $true )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(990,plain,
! [SV34: $i,SV100: $i] :
( ( ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
= $true )
| ( ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
= $false )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[928]) ).
thf(991,plain,
! [SV101: $i > $o,SV35: $i,SV179: $i] :
( ( ( ~ ( in @ SV179 @ SV35 )
| ~ ( SV101 @ SV179 ) )
= $true )
| ( ( in @ ( sK21_SY772 @ SV101 @ SV35 ) @ SV35 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(992,plain,
! [SV101: $i > $o,SV35: $i,SV180: $i] :
( ( ( ~ ( in @ SV180 @ SV35 )
| ~ ( SV101 @ SV180 ) )
= $true )
| ( ( SV101 @ ( sK21_SY772 @ SV101 @ SV35 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(993,plain,
! [SV102: $i > $o,SV181: $i,SV36: $i > $o] :
( ( ( ~ ~ ( ~ ( SV36 @ SV181 )
| ~ ! [SY906: $i] :
( ~ ( SV36 @ SY906 )
| ( SV181 = SY906 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(994,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
| ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[933]) ).
thf(995,plain,
! [SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
| ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[934]) ).
thf(996,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[938]) ).
thf(997,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(998,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( ~ ( ~ ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
| ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[940]) ).
thf(999,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
| ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(1000,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( SV43 @ ( sK31_SY648 @ SV150 @ SV43 ) )
= $true )
| ( ( ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[942]) ).
thf(1001,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ ( sK36_SY896 @ SV150 @ SV43 ) ) )
= $false )
| ( ( ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[943]) ).
thf(1002,plain,
! [SV43: $i > $o,SV150: $i] :
( ( ( ( sK31_SY648 @ SV150 @ SV43 )
= ( sK36_SY896 @ SV150 @ SV43 ) )
= $false )
| ( ( ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[943]) ).
thf(1003,plain,
! [SV45: $i,SV109: $i > $o,SV162: $i] :
( ( ( ~ ( in @ ( sK37_SY800 @ SV162 @ SV109 @ SV45 ) @ SV45 )
| ~ ~ ( SV109 @ ( sK37_SY800 @ SV162 @ SV109 @ SV45 ) ) )
= $false )
| ( ( SV109 @ SV162 )
= $true )
| ( ( in @ SV162 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(1004,plain,
! [SV151: $i,SV47: $i > $o] :
( ( ( ~ ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) ) )
= $false )
| ( ( SV47 @ SV151 )
= $false )
| ( ( ~ ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(1005,plain,
! [SV47: $i > $o,SV151: $i] :
( ( ( SV151
= ( sK42_SY870 @ SV151 @ SV47 ) )
= $false )
| ( ( SV47 @ SV151 )
= $false )
| ( ( ~ ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(1006,plain,
! [SV49: $i,SV163: $o,SV112: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ SV112 )
| SV163 )
= $false )
| ( SV163 = $true )
| ( ( SV135 = SV49 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1007,plain,
! [SV49: $i,SV163: $o,SV112: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ SV112 ) )
= $false )
| ( SV163 = $true )
| ( SV163 = $false )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(1008,plain,
! [SV112: $i,SV49: $i,SV135: $i,SV163: $o] :
( ( SV163 = $false )
| ( SV163 = $true )
| ( SV163 = $false )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(1009,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ SV112 )
| $true )
= $false )
| ( $true = $true )
| ( ( SV135 = SV49 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(1010,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ SV112 ) )
= $false )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(1011,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( $true = $false )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(1012,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ SV112 )
| $false )
= $false )
| ( $false = $true )
| ( ( SV135 = SV49 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[950]) ).
thf(1013,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ SV112 ) )
= $false )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[951]) ).
thf(1014,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( $false = $false )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[951]) ).
thf(1015,plain,
! [SV114: $i,SV164: $i > $o,SV152: $i > $o,SV51: $i] :
( ( ( ~ ( in @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) @ SV114 ) )
= $false )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(1016,plain,
! [SV51: $i,SV114: $i,SV152: $i > $o,SV164: $i > $o] :
( ( ( ( ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 )
!= ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
| ~ ( ~ ( ~ ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) )
| ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) ) )
| ~ ( ~ ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
| ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(1017,plain,
! [SV55: $i] :
( ( ~ ! [SY841: $i] :
( ~ ( in @ SY841 @ ( sK2_SY683 @ SV55 ) )
| ! [SY685: $i] :
( ~ ( in @ SY685 @ SY841 )
| ( in @ SY685 @ SV55 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1018,plain,
! [SV55: $i] :
( ( ~ ! [SY843: $i,SY844: $i] :
( ~ ~ ( ~ ( in @ SY843 @ SV55 )
| ~ ( in @ SY844 @ SV55 ) )
| ~ ! [SY845: $i] :
( ~ ( in @ SY845 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SY843 @ SY845 )
| ( in @ SY844 @ SY845 ) )
| ~ ( ~ ( in @ SY844 @ SY845 )
| ( in @ SY843 @ SY845 ) ) ) )
| ( SY843 = SY844 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1019,plain,
! [SV182: $i,SV55: $i,SV175: $i] :
( ( ~ ~ ( ~ ( in @ SV175 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SV182 @ ( sK2_SY683 @ SV55 ) ) )
| ! [SY907: $i] :
( ~ ( in @ SY907 @ SV175 )
| ( in @ SY907 @ SV182 ) )
| ! [SY908: $i] :
( ~ ( in @ SY908 @ SV182 )
| ( in @ SY908 @ SV175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1020,plain,
! [SV55: $i,SV169: $i] :
( ( ( ~ ! [SY888: $i] :
( ~ ( in @ SY888 @ SV169 )
| ( in @ SY888 @ SV55 ) ) )
= $true )
| ( ( ~ ~ ! [SY889: $i] :
~ ( in @ SY889 @ SV169 ) )
= $true )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[956]) ).
thf(1021,plain,
! [SV165: $i,SV119: $i > $o,SV61: $i] :
( ( ( ( dsetconstr @ SV61
@ ^ [SY817: $i] : ( SV119 @ SY817 ) )
!= emptyset )
= $true )
| ( $false = $true )
| ( ( in @ SV165 @ SV61 )
= $false )
| ( ( SV119 @ SV165 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(1022,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ~ ( ( ( sK22_SY876 @ SV153 @ SV65 )
!= SV153 )
| ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) ) ) )
= $true )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[958]) ).
thf(1023,plain,
! [SV65: $i > $o,SV153: $i] :
( ( ( ( ( sK22_SY876 @ SV153 @ SV65 )
!= SV153 )
| ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) ) )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(1024,plain,
! [SV123: $i,SV67: $i > $i > $o,SV176: $i] :
( ( ( ~ ( ~ ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
| ~ ! [SY904: $i] :
~ ~ ( ~ ( in @ SY904 @ SV123 )
| ~ ( SV67 @ SY904 @ SV176 ) ) )
| ~ ( ~ ~ ! [SY905: $i] :
~ ~ ( ~ ( in @ SY905 @ SV123 )
| ~ ( SV67 @ SY905 @ SV176 ) )
| ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1025,plain,
! [SV170: $i,SV123: $i,SV67: $i > $i > $o] :
( ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( ~ ! [SY895: $i] :
( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SY895 )
| ( SV170 = SY895 ) ) )
= $true )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(1026,plain,
! [SV70: $i] :
( ( ( ~ ( in @ ( sK28_SY731 @ SV70 ) @ omega ) )
= $false )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[962]) ).
thf(1027,plain,
! [SV70: $i] :
( ( ( ~ ( in @ ( sK28_SY731 @ SV70 ) @ SV70 ) )
= $false )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[962]) ).
thf(1028,plain,
! [SV70: $i,SV174: $i] :
( ( ( in @ SV174 @ omega )
= $false )
| ( ( in @ SV174 @ SV70 )
= $true )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( in @ ( setadjoin @ ( sK28_SY731 @ SV70 ) @ ( sK28_SY731 @ SV70 ) ) @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(1029,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ ( sK44_SY879 @ SV155 @ SV71 ) ) )
= $false )
| ( ( SV71 @ SV155 )
= $false )
| ( ( ~ ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1030,plain,
! [SV71: $i > $o,SV155: $i] :
( ( ( SV155
= ( sK44_SY879 @ SV155 @ SV71 ) )
= $false )
| ( ( SV71 @ SV155 )
= $false )
| ( ( ~ ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1031,plain,
! [SV156: $i,SV75: $i > $o] :
( ( ( ~ ( SV75 @ ( sK45_SY880 @ SV156 @ SV75 ) ) )
= $false )
| ( ( SV75 @ SV156 )
= $false )
| ( ( ! [SY744: $i,SY745: $i] :
( ~ ( SV75 @ SY744 )
| ~ ( SV75 @ SY745 )
| ( SY744 = SY745 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[965]) ).
thf(1032,plain,
! [SV75: $i > $o,SV156: $i] :
( ( ( SV156
= ( sK45_SY880 @ SV156 @ SV75 ) )
= $false )
| ( ( SV75 @ SV156 )
= $false )
| ( ( ! [SY744: $i,SY745: $i] :
( ~ ( SV75 @ SY744 )
| ~ ( SV75 @ SY745 )
| ( SY744 = SY745 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[965]) ).
thf(1033,plain,
! [SV127: $i,SV166: $i,SV76: $i,SV157: $i] :
( ( ( ~ ( in @ SV157 @ SV76 ) )
= $true )
| ( ( in @ SV166 @ SV127 )
= $true )
| ( ( SV157 = SV166 )
= $false )
| ( ( SV76 = SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[966]) ).
thf(1034,plain,
! [SV76: $i,SV157: $i,SV127: $i,SV166: $i] :
( ( ( ~ ( in @ SV166 @ SV127 ) )
= $true )
| ( ( in @ SV157 @ SV76 )
= $true )
| ( ( SV157 = SV166 )
= $false )
| ( ( SV76 = SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1035,plain,
! [SV10: $i,SV81: $i > $o,SV159: $i] :
( ( ( ~ ( in @ ( sK34_SY753 @ SV159 @ SV81 @ SV10 ) @ SV10 ) )
= $false )
| ( ( SV81 @ SV159 )
= $true )
| ( ( in @ SV159 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(1036,plain,
! [SV10: $i,SV159: $i,SV81: $i > $o] :
( ( ( ~ ~ ( SV81 @ ( sK34_SY753 @ SV159 @ SV81 @ SV10 ) ) )
= $false )
| ( ( SV81 @ SV159 )
= $true )
| ( ( in @ SV159 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(1037,plain,
! [SV143: $i,SV12: $i > $o] :
( ( ( SV12 @ ( sK38_SY862 @ SV143 @ SV12 ) )
= $true )
| ( ( SV12 @ SV143 )
= $false )
| ( ( ! [SY564: $i,SY565: $i] :
( ~ ( SV12 @ SY564 )
| ~ ( SV12 @ SY565 )
| ( SY564 = SY565 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[969]) ).
thf(1038,plain,
! [SV143: $i,SV183: $i,SV12: $i > $o] :
( ( ( ! [SY909: $i] :
( ~ ( SV12 @ SV183 )
| ~ ( SV12 @ SY909 )
| ( SV183 = SY909 ) ) )
= $true )
| ( ( SV12 @ SV143 )
= $false )
| ( ( SV143
= ( sK38_SY862 @ SV143 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(1039,plain,
! [SV82: $i > $o,SV13: $i,SV172: $i] :
( ( ( ~ ( in @ SV172 @ SV13 ) )
= $true )
| ( ( ~ ( SV82 @ SV172 ) )
= $true )
| ( ( in @ ( sK7_SY754 @ SV82 @ SV13 ) @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[971]) ).
thf(1040,plain,
! [SV82: $i > $o,SV13: $i,SV173: $i] :
( ( ( ~ ( in @ SV173 @ SV13 ) )
= $true )
| ( ( ~ ( SV82 @ SV173 ) )
= $true )
| ( ( SV82 @ ( sK7_SY754 @ SV82 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(1041,plain,
! [SV15: $i,SV84: $i] :
( ( ( in @ SV84 @ ( sK29_SY758 @ SV15 @ SV84 ) )
= $true )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[973]) ).
thf(1042,plain,
! [SV84: $i,SV15: $i] :
( ( ( in @ ( sK29_SY758 @ SV15 @ SV84 ) @ SV15 )
= $true )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[974]) ).
thf(1043,plain,
! [SV15: $i,SV171: $i,SV84: $i] :
( ( ( in @ SV84 @ SV171 )
= $false )
| ( ( ~ ( in @ SV171 @ SV15 ) )
= $true )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1044,plain,
! [SV145: $i,SV18: $i > $o] :
( ( ( SV18 @ ( sK39_SY864 @ SV145 @ SV18 ) )
= $true )
| ( ( SV18 @ SV145 )
= $false )
| ( ( ~ ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(1045,plain,
! [SV145: $i,SV18: $i > $o] :
( ( ( ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $false )
| ( ( SV18 @ SV145 )
= $false )
| ( ( SV145
= ( sK39_SY864 @ SV145 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(1046,plain,
! [SV161: $i,SV88: $i > $o,SV20: $i] :
( ( ( ! [SY761: $i] :
( ~ ( in @ SY761 @ SV20 )
| ( SV88 @ SY761 ) ) )
= $false )
| ( ( in @ SV161 @ SV20 )
= $false )
| ( ( SV88 @ SV161 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1047,plain,
! [SV89: $i > $o,SV21: $i,SV177: $i] :
( ( ( ~ ( in @ SV177 @ SV21 ) )
= $true )
| ( ( ~ ( SV89 @ SV177 ) )
= $true )
| ( ( in @ ( sK20_SY762 @ SV89 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1048,plain,
! [SV89: $i > $o,SV21: $i,SV178: $i] :
( ( ( ~ ( in @ SV178 @ SV21 ) )
= $true )
| ( ( ~ ( SV89 @ SV178 ) )
= $true )
| ( ( SV89 @ ( sK20_SY762 @ SV89 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[980]) ).
thf(1049,plain,
! [SV22: $i,SV146: $i] :
( ( ( ~ ! [SY887: $i] :
~ ~ ( ~ ( in @ SY887 @ ( sK23_SY588 @ SV146 @ SV22 ) )
| ~ ( in @ SY887 @ SV22 ) ) )
= $false )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(1050,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( SV31 @ ( sK40_SY865 @ SV147 @ SV31 ) )
= $true )
| ( ( SV31 @ SV147 )
= $false )
| ( ( ~ ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1051,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $false )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV147
= ( sK40_SY865 @ SV147 @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[985]) ).
thf(1052,plain,
! [SV148: $i,SV33: $i > $o] :
( ( ( SV33 @ ( sK41_SY866 @ SV148 @ SV33 ) )
= $true )
| ( ( SV33 @ SV148 )
= $false )
| ( ( SV33
@ ( descr
@ ^ [SY611: $i] : ( SV33 @ SY611 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[986]) ).
thf(1053,plain,
! [SV34: $i,SV100: $i] :
( ( ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV100 )
= $true )
| ( ( in @ ( sK9_SY771 @ SV100 @ SV34 ) @ SV34 )
= $true )
| ( ( SV34 = SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[988]) ).
thf(1054,plain,
! [SV101: $i > $o,SV35: $i,SV179: $i] :
( ( ( ~ ( in @ SV179 @ SV35 ) )
= $true )
| ( ( ~ ( SV101 @ SV179 ) )
= $true )
| ( ( in @ ( sK21_SY772 @ SV101 @ SV35 ) @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[991]) ).
thf(1055,plain,
! [SV101: $i > $o,SV35: $i,SV180: $i] :
( ( ( ~ ( in @ SV180 @ SV35 ) )
= $true )
| ( ( ~ ( SV101 @ SV180 ) )
= $true )
| ( ( SV101 @ ( sK21_SY772 @ SV101 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[992]) ).
thf(1056,plain,
! [SV102: $i > $o,SV181: $i,SV36: $i > $o] :
( ( ( ~ ( ~ ( SV36 @ SV181 )
| ~ ! [SY906: $i] :
( ~ ( SV36 @ SY906 )
| ( SV181 = SY906 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1057,plain,
! [SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
| ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1058,plain,
! [SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1059,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1060,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) ) )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1061,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) ) )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1062,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
| ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1063,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1064,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1065,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $false )
| ( ( SV43 @ ( sK31_SY648 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1066,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( SV43 @ ( sK36_SY896 @ SV150 @ SV43 ) )
= $true )
| ( ( ~ ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1001]) ).
thf(1067,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $false )
| ( ( ( sK31_SY648 @ SV150 @ SV43 )
= ( sK36_SY896 @ SV150 @ SV43 ) )
= $false )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1068,plain,
! [SV45: $i,SV109: $i > $o,SV162: $i] :
( ( ( ~ ( in @ ( sK37_SY800 @ SV162 @ SV109 @ SV45 ) @ SV45 ) )
= $false )
| ( ( SV109 @ SV162 )
= $true )
| ( ( in @ SV162 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1003]) ).
thf(1069,plain,
! [SV45: $i,SV162: $i,SV109: $i > $o] :
( ( ( ~ ~ ( SV109 @ ( sK37_SY800 @ SV162 @ SV109 @ SV45 ) ) )
= $false )
| ( ( SV109 @ SV162 )
= $true )
| ( ( in @ SV162 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1003]) ).
thf(1070,plain,
! [SV151: $i,SV47: $i > $o] :
( ( ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( ~ ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1071,plain,
! [SV151: $i,SV47: $i > $o] :
( ( ( ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $false )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV151
= ( sK42_SY870 @ SV151 @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1072,plain,
! [SV49: $i,SV163: $o,SV112: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ SV112 ) )
= $false )
| ( SV163 = $true )
| ( ( SV135 = SV49 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1073,plain,
! [SV112: $i,SV49: $i,SV135: $i,SV163: $o] :
( ( SV163 = $false )
| ( SV163 = $true )
| ( ( SV135 = SV49 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1074,plain,
! [SV49: $i,SV163: $o,SV112: $i,SV135: $i] :
( ( ( in @ SV135 @ SV112 )
= $true )
| ( SV163 = $true )
| ( SV163 = $false )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1007]) ).
thf(1075,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ SV112 ) )
= $false )
| ( $true = $true )
| ( ( SV135 = SV49 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1009]) ).
thf(1076,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( $true = $false )
| ( $true = $true )
| ( ( SV135 = SV49 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1009]) ).
thf(1077,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( in @ SV135 @ SV112 )
= $true )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1010]) ).
thf(1078,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ SV112 ) )
= $false )
| ( $false = $true )
| ( ( SV135 = SV49 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1012]) ).
thf(1079,plain,
! [SV112: $i,SV49: $i,SV135: $i] :
( ( $false = $false )
| ( $false = $true )
| ( ( SV135 = SV49 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1012]) ).
thf(1080,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( in @ SV135 @ SV112 )
= $true )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1013]) ).
thf(1081,plain,
! [SV114: $i,SV164: $i > $o,SV152: $i > $o,SV51: $i] :
( ( ( in @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) @ SV114 )
= $true )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1015]) ).
thf(1082,plain,
! [SV51: $i,SV114: $i,SV152: $i > $o,SV164: $i > $o] :
( ( ( ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 )
!= ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
= $false )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1016]) ).
thf(1083,plain,
! [SV51: $i,SV114: $i,SV164: $i > $o,SV152: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) )
| ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) ) )
| ~ ( ~ ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
| ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1016]) ).
thf(1084,plain,
! [SV55: $i] :
( ( ! [SY841: $i] :
( ~ ( in @ SY841 @ ( sK2_SY683 @ SV55 ) )
| ! [SY685: $i] :
( ~ ( in @ SY685 @ SY841 )
| ( in @ SY685 @ SV55 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1017]) ).
thf(1085,plain,
! [SV55: $i] :
( ( ! [SY843: $i,SY844: $i] :
( ~ ~ ( ~ ( in @ SY843 @ SV55 )
| ~ ( in @ SY844 @ SV55 ) )
| ~ ! [SY845: $i] :
( ~ ( in @ SY845 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SY843 @ SY845 )
| ( in @ SY844 @ SY845 ) )
| ~ ( ~ ( in @ SY844 @ SY845 )
| ( in @ SY843 @ SY845 ) ) ) )
| ( SY843 = SY844 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1018]) ).
thf(1086,plain,
! [SV182: $i,SV55: $i,SV175: $i] :
( ( ( ~ ~ ( ~ ( in @ SV175 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SV182 @ ( sK2_SY683 @ SV55 ) ) ) )
= $true )
| ( ( ! [SY907: $i] :
( ~ ( in @ SY907 @ SV175 )
| ( in @ SY907 @ SV182 ) )
| ! [SY908: $i] :
( ~ ( in @ SY908 @ SV182 )
| ( in @ SY908 @ SV175 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1019]) ).
thf(1087,plain,
! [SV55: $i,SV169: $i] :
( ( ( ! [SY888: $i] :
( ~ ( in @ SY888 @ SV169 )
| ( in @ SY888 @ SV55 ) ) )
= $false )
| ( ( ~ ~ ! [SY889: $i] :
~ ( in @ SY889 @ SV169 ) )
= $true )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1088,plain,
! [SV165: $i,SV119: $i > $o,SV61: $i] :
( ( ( ( dsetconstr @ SV61
@ ^ [SY817: $i] : ( SV119 @ SY817 ) )
= emptyset )
= $false )
| ( $false = $true )
| ( ( in @ SV165 @ SV61 )
= $false )
| ( ( SV119 @ SV165 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1089,plain,
! [SV65: $i > $o,SV153: $i] :
( ( ( ( ( sK22_SY876 @ SV153 @ SV65 )
!= SV153 )
| ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) ) )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1090,plain,
! [SV65: $i > $o,SV153: $i] :
( ( ( ( sK22_SY876 @ SV153 @ SV65 )
!= SV153 )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1023]) ).
thf(1091,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1023]) ).
thf(1092,plain,
! [SV123: $i,SV67: $i > $i > $o,SV176: $i] :
( ( ( ~ ( ~ ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
| ~ ! [SY904: $i] :
~ ~ ( ~ ( in @ SY904 @ SV123 )
| ~ ( SV67 @ SY904 @ SV176 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1024]) ).
thf(1093,plain,
! [SV176: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ~ ( ~ ~ ! [SY905: $i] :
~ ~ ( ~ ( in @ SY905 @ SV123 )
| ~ ( SV67 @ SY905 @ SV176 ) )
| ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1024]) ).
thf(1094,plain,
! [SV170: $i,SV123: $i,SV67: $i > $i > $o] :
( ( ( ! [SY895: $i] :
( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SY895 )
| ( SV170 = SY895 ) ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1095,plain,
! [SV70: $i] :
( ( ( in @ ( sK28_SY731 @ SV70 ) @ omega )
= $true )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1026]) ).
thf(1096,plain,
! [SV70: $i] :
( ( ( in @ ( sK28_SY731 @ SV70 ) @ SV70 )
= $true )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ omega )
| ( in @ SY732 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1027]) ).
thf(1097,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( SV71 @ ( sK44_SY879 @ SV155 @ SV71 ) )
= $true )
| ( ( SV71 @ SV155 )
= $false )
| ( ( ~ ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1029]) ).
thf(1098,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $false )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV155
= ( sK44_SY879 @ SV155 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1030]) ).
thf(1099,plain,
! [SV156: $i,SV75: $i > $o] :
( ( ( SV75 @ ( sK45_SY880 @ SV156 @ SV75 ) )
= $true )
| ( ( SV75 @ SV156 )
= $false )
| ( ( ! [SY744: $i,SY745: $i] :
( ~ ( SV75 @ SY744 )
| ~ ( SV75 @ SY745 )
| ( SY744 = SY745 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1031]) ).
thf(1100,plain,
! [SV156: $i,SV184: $i,SV75: $i > $o] :
( ( ( ! [SY910: $i] :
( ~ ( SV75 @ SV184 )
| ~ ( SV75 @ SY910 )
| ( SV184 = SY910 ) ) )
= $true )
| ( ( SV75 @ SV156 )
= $false )
| ( ( SV156
= ( sK45_SY880 @ SV156 @ SV75 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1032]) ).
thf(1101,plain,
! [SV127: $i,SV166: $i,SV76: $i,SV157: $i] :
( ( ( in @ SV157 @ SV76 )
= $false )
| ( ( in @ SV166 @ SV127 )
= $true )
| ( ( SV157 = SV166 )
= $false )
| ( ( SV76 = SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1102,plain,
! [SV76: $i,SV157: $i,SV127: $i,SV166: $i] :
( ( ( in @ SV166 @ SV127 )
= $false )
| ( ( in @ SV157 @ SV76 )
= $true )
| ( ( SV157 = SV166 )
= $false )
| ( ( SV76 = SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1034]) ).
thf(1103,plain,
! [SV10: $i,SV81: $i > $o,SV159: $i] :
( ( ( in @ ( sK34_SY753 @ SV159 @ SV81 @ SV10 ) @ SV10 )
= $true )
| ( ( SV81 @ SV159 )
= $true )
| ( ( in @ SV159 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1104,plain,
! [SV10: $i,SV159: $i,SV81: $i > $o] :
( ( ( ~ ( SV81 @ ( sK34_SY753 @ SV159 @ SV81 @ SV10 ) ) )
= $true )
| ( ( SV81 @ SV159 )
= $true )
| ( ( in @ SV159 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1105,plain,
! [SV143: $i,SV185: $i,SV12: $i > $o] :
( ( ( ! [SY911: $i] :
( ~ ( SV12 @ SV185 )
| ~ ( SV12 @ SY911 )
| ( SV185 = SY911 ) ) )
= $true )
| ( ( SV12 @ SV143 )
= $false )
| ( ( SV12 @ ( sK38_SY862 @ SV143 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1037]) ).
thf(1106,plain,
! [SV143: $i,SV186: $i,SV183: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV183 )
| ~ ( SV12 @ SV186 )
| ( SV183 = SV186 ) )
= $true )
| ( ( SV12 @ SV143 )
= $false )
| ( ( SV143
= ( sK38_SY862 @ SV143 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1038]) ).
thf(1107,plain,
! [SV82: $i > $o,SV13: $i,SV172: $i] :
( ( ( in @ SV172 @ SV13 )
= $false )
| ( ( ~ ( SV82 @ SV172 ) )
= $true )
| ( ( in @ ( sK7_SY754 @ SV82 @ SV13 ) @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1108,plain,
! [SV82: $i > $o,SV13: $i,SV173: $i] :
( ( ( in @ SV173 @ SV13 )
= $false )
| ( ( ~ ( SV82 @ SV173 ) )
= $true )
| ( ( SV82 @ ( sK7_SY754 @ SV82 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1109,plain,
! [SV84: $i,SV15: $i,SV171: $i] :
( ( ( in @ SV171 @ SV15 )
= $false )
| ( ( in @ SV84 @ SV171 )
= $false )
| ( ( in @ SV84 @ ( setunion @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1110,plain,
! [SV145: $i,SV18: $i > $o] :
( ( ( ! [SY579: $i] :
~ ( SV18 @ SY579 ) )
= $false )
| ( ( SV18 @ SV145 )
= $false )
| ( ( SV18 @ ( sK39_SY864 @ SV145 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1111,plain,
! [SV145: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ ( sK46_SY579 @ SV145 @ SV18 ) ) )
= $false )
| ( ( SV18 @ SV145 )
= $false )
| ( ( SV145
= ( sK39_SY864 @ SV145 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1045]) ).
thf(1112,plain,
! [SV20: $i,SV88: $i > $o,SV161: $i] :
( ( ( ~ ( in @ ( sK47_SY761 @ SV161 @ SV88 @ SV20 ) @ SV20 )
| ( SV88 @ ( sK47_SY761 @ SV161 @ SV88 @ SV20 ) ) )
= $false )
| ( ( in @ SV161 @ SV20 )
= $false )
| ( ( SV88 @ SV161 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1046]) ).
thf(1113,plain,
! [SV89: $i > $o,SV21: $i,SV177: $i] :
( ( ( in @ SV177 @ SV21 )
= $false )
| ( ( ~ ( SV89 @ SV177 ) )
= $true )
| ( ( in @ ( sK20_SY762 @ SV89 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1114,plain,
! [SV89: $i > $o,SV21: $i,SV178: $i] :
( ( ( in @ SV178 @ SV21 )
= $false )
| ( ( ~ ( SV89 @ SV178 ) )
= $true )
| ( ( SV89 @ ( sK20_SY762 @ SV89 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1048]) ).
thf(1115,plain,
! [SV22: $i,SV146: $i] :
( ( ( ! [SY887: $i] :
~ ~ ( ~ ( in @ SY887 @ ( sK23_SY588 @ SV146 @ SV22 ) )
| ~ ( in @ SY887 @ SV22 ) ) )
= $true )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1116,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ! [SY606: $i] :
~ ~ ( ~ ( SV31 @ SY606 )
| ~ ! [SY607: $i] :
( ~ ( SV31 @ SY607 )
| ( SY606 = SY607 ) ) ) )
= $false )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV31 @ ( sK40_SY865 @ SV147 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1117,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ~ ( ~ ( SV31 @ ( sK48_SY606 @ SV147 @ SV31 ) )
| ~ ! [SY912: $i] :
( ~ ( SV31 @ SY912 )
| ( ( sK48_SY606 @ SV147 @ SV31 )
= SY912 ) ) ) )
= $false )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV147
= ( sK40_SY865 @ SV147 @ SV31 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1051]) ).
thf(1118,plain,
! [SV101: $i > $o,SV35: $i,SV179: $i] :
( ( ( in @ SV179 @ SV35 )
= $false )
| ( ( ~ ( SV101 @ SV179 ) )
= $true )
| ( ( in @ ( sK21_SY772 @ SV101 @ SV35 ) @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1119,plain,
! [SV101: $i > $o,SV35: $i,SV180: $i] :
( ( ( in @ SV180 @ SV35 )
= $false )
| ( ( ~ ( SV101 @ SV180 ) )
= $true )
| ( ( SV101 @ ( sK21_SY772 @ SV101 @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1120,plain,
! [SV102: $i > $o,SV181: $i,SV36: $i > $o] :
( ( ( ~ ( SV36 @ SV181 )
| ~ ! [SY906: $i] :
( ~ ( SV36 @ SY906 )
| ( SV181 = SY906 ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1056]) ).
thf(1121,plain,
! [SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1057]) ).
thf(1122,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1057]) ).
thf(1123,plain,
! [SV36: $i > $o,SV102: $i > $o] :
( ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1058]) ).
thf(1124,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1059]) ).
thf(1125,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1060]) ).
thf(1126,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1061]) ).
thf(1127,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1062]) ).
thf(1128,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1062]) ).
thf(1129,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1063]) ).
thf(1130,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1131,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ~ ( ~ ( SV43 @ ( sK49_SY650 @ SV150 @ SV43 ) )
| ~ ! [SY913: $i] :
( ~ ( SV43 @ SY913 )
| ( ( sK49_SY650 @ SV150 @ SV43 )
= SY913 ) ) ) )
= $false )
| ( ( SV43 @ ( sK31_SY648 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1065]) ).
thf(1132,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ! [SY650: $i] :
~ ~ ( ~ ( SV43 @ SY650 )
| ~ ! [SY651: $i] :
( ~ ( SV43 @ SY651 )
| ( SY650 = SY651 ) ) ) )
= $false )
| ( ( SV43 @ ( sK36_SY896 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1133,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ~ ( ~ ( SV43 @ ( sK50_SY650 @ SV150 @ SV43 ) )
| ~ ! [SY914: $i] :
( ~ ( SV43 @ SY914 )
| ( ( sK50_SY650 @ SV150 @ SV43 )
= SY914 ) ) ) )
= $false )
| ( ( ( sK31_SY648 @ SV150 @ SV43 )
= ( sK36_SY896 @ SV150 @ SV43 ) )
= $false )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1067]) ).
thf(1134,plain,
! [SV45: $i,SV109: $i > $o,SV162: $i] :
( ( ( in @ ( sK37_SY800 @ SV162 @ SV109 @ SV45 ) @ SV45 )
= $true )
| ( ( SV109 @ SV162 )
= $true )
| ( ( in @ SV162 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1068]) ).
thf(1135,plain,
! [SV45: $i,SV162: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK37_SY800 @ SV162 @ SV109 @ SV45 ) ) )
= $true )
| ( ( SV109 @ SV162 )
= $true )
| ( ( in @ SV162 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1069]) ).
thf(1136,plain,
! [SV151: $i,SV47: $i > $o] :
( ( ( ! [SY661: $i] :
~ ! [SY662: $i] :
~ ( ~ ( ~ ( SV47 @ SY662 )
| ( SY662 = SY661 ) )
| ~ ( ( SY662 != SY661 )
| ( SV47 @ SY662 ) ) ) )
= $false )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1137,plain,
! [SV151: $i,SV47: $i > $o] :
( ( ( ~ ! [SY915: $i] :
~ ( ~ ( ~ ( SV47 @ SY915 )
| ( SY915
= ( sK51_SY661 @ SV151 @ SV47 ) ) )
| ~ ( ( SY915
!= ( sK51_SY661 @ SV151 @ SV47 ) )
| ( SV47 @ SY915 ) ) ) )
= $false )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV151
= ( sK42_SY870 @ SV151 @ SV47 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1071]) ).
thf(1138,plain,
! [SV49: $i,SV163: $o,SV112: $i,SV135: $i] :
( ( ( in @ SV135 @ SV112 )
= $true )
| ( SV163 = $true )
| ( ( SV135 = SV49 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1072]) ).
thf(1139,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( in @ SV135 @ SV112 )
= $true )
| ( $true = $true )
| ( ( SV135 = SV49 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1140,plain,
! [SV49: $i,SV112: $i,SV135: $i] :
( ( ( in @ SV135 @ SV112 )
= $true )
| ( $false = $true )
| ( ( SV135 = SV49 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV49 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1078]) ).
thf(1141,plain,
! [SV51: $i,SV114: $i,SV152: $i > $o,SV164: $i > $o] :
( ( ( ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 )
= ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
= $true )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1082]) ).
thf(1142,plain,
! [SV51: $i,SV114: $i,SV164: $i > $o,SV152: $i > $o] :
( ( ( ~ ( ~ ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) )
| ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) ) )
| ~ ( ~ ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
| ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) ) ) )
= $true )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1083]) ).
thf(1143,plain,
! [SV55: $i,SV187: $i] :
( ( ~ ( in @ SV187 @ ( sK2_SY683 @ SV55 ) )
| ! [SY916: $i] :
( ~ ( in @ SY916 @ SV187 )
| ( in @ SY916 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1084]) ).
thf(1144,plain,
! [SV55: $i,SV188: $i] :
( ( ! [SY917: $i] :
( ~ ~ ( ~ ( in @ SV188 @ SV55 )
| ~ ( in @ SY917 @ SV55 ) )
| ~ ! [SY918: $i] :
( ~ ( in @ SY918 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SV188 @ SY918 )
| ( in @ SY917 @ SY918 ) )
| ~ ( ~ ( in @ SY917 @ SY918 )
| ( in @ SV188 @ SY918 ) ) ) )
| ( SV188 = SY917 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1085]) ).
thf(1145,plain,
! [SV182: $i,SV55: $i,SV175: $i] :
( ( ( ~ ( ~ ( in @ SV175 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SV182 @ ( sK2_SY683 @ SV55 ) ) ) )
= $false )
| ( ( ! [SY907: $i] :
( ~ ( in @ SY907 @ SV175 )
| ( in @ SY907 @ SV182 ) )
| ! [SY908: $i] :
( ~ ( in @ SY908 @ SV182 )
| ( in @ SY908 @ SV175 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1086]) ).
thf(1146,plain,
! [SV169: $i,SV55: $i] :
( ( ( ~ ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
| ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 ) )
= $false )
| ( ( ~ ~ ! [SY889: $i] :
~ ( in @ SY889 @ SV169 ) )
= $true )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1087]) ).
thf(1147,plain,
! [SV65: $i > $o,SV153: $i] :
( ( ( ( sK22_SY876 @ SV153 @ SV65 )
!= SV153 )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1148,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1149,plain,
! [SV65: $i > $o,SV153: $i] :
( ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1090]) ).
thf(1150,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1091]) ).
thf(1151,plain,
! [SV123: $i,SV67: $i > $i > $o,SV176: $i] :
( ( ( ~ ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
| ~ ! [SY904: $i] :
~ ~ ( ~ ( in @ SY904 @ SV123 )
| ~ ( SV67 @ SY904 @ SV176 ) ) )
= $true )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1092]) ).
thf(1152,plain,
! [SV176: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ~ ~ ! [SY905: $i] :
~ ~ ( ~ ( in @ SY905 @ SV123 )
| ~ ( SV67 @ SY905 @ SV176 ) )
| ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) ) )
= $true )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1093]) ).
thf(1153,plain,
! [SV170: $i,SV123: $i,SV67: $i > $i > $o] :
( ( ( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
| ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1094]) ).
thf(1154,plain,
! [SV70: $i,SV189: $i] :
( ( ( ~ ( in @ SV189 @ omega )
| ( in @ SV189 @ SV70 ) )
= $true )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( in @ ( sK28_SY731 @ SV70 ) @ omega )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1095]) ).
thf(1155,plain,
! [SV70: $i,SV190: $i] :
( ( ( ~ ( in @ SV190 @ omega )
| ( in @ SV190 @ SV70 ) )
= $true )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( in @ ( sK28_SY731 @ SV70 ) @ SV70 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1096]) ).
thf(1156,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ! [SY735: $i] :
~ ~ ( ~ ( SV71 @ SY735 )
| ~ ! [SY736: $i] :
( ~ ( SV71 @ SY736 )
| ( SY735 = SY736 ) ) ) )
= $false )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV71 @ ( sK44_SY879 @ SV155 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1097]) ).
thf(1157,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ~ ( ~ ( SV71 @ ( sK54_SY735 @ SV155 @ SV71 ) )
| ~ ! [SY919: $i] :
( ~ ( SV71 @ SY919 )
| ( ( sK54_SY735 @ SV155 @ SV71 )
= SY919 ) ) ) )
= $false )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV155
= ( sK44_SY879 @ SV155 @ SV71 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1098]) ).
thf(1158,plain,
! [SV156: $i,SV191: $i,SV75: $i > $o] :
( ( ( ! [SY920: $i] :
( ~ ( SV75 @ SV191 )
| ~ ( SV75 @ SY920 )
| ( SV191 = SY920 ) ) )
= $true )
| ( ( SV75 @ SV156 )
= $false )
| ( ( SV75 @ ( sK45_SY880 @ SV156 @ SV75 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1099]) ).
thf(1159,plain,
! [SV156: $i,SV192: $i,SV184: $i,SV75: $i > $o] :
( ( ( ~ ( SV75 @ SV184 )
| ~ ( SV75 @ SV192 )
| ( SV184 = SV192 ) )
= $true )
| ( ( SV75 @ SV156 )
= $false )
| ( ( SV156
= ( sK45_SY880 @ SV156 @ SV75 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1100]) ).
thf(1160,plain,
! [SV10: $i,SV159: $i,SV81: $i > $o] :
( ( ( SV81 @ ( sK34_SY753 @ SV159 @ SV81 @ SV10 ) )
= $false )
| ( ( SV81 @ SV159 )
= $true )
| ( ( in @ SV159 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1161,plain,
! [SV143: $i,SV193: $i,SV185: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV185 )
| ~ ( SV12 @ SV193 )
| ( SV185 = SV193 ) )
= $true )
| ( ( SV12 @ SV143 )
= $false )
| ( ( SV12 @ ( sK38_SY862 @ SV143 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1105]) ).
thf(1162,plain,
! [SV143: $i,SV186: $i,SV183: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV183 ) )
= $true )
| ( ( ~ ( SV12 @ SV186 )
| ( SV183 = SV186 ) )
= $true )
| ( ( SV12 @ SV143 )
= $false )
| ( ( SV143
= ( sK38_SY862 @ SV143 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1106]) ).
thf(1163,plain,
! [SV13: $i,SV172: $i,SV82: $i > $o] :
( ( ( SV82 @ SV172 )
= $false )
| ( ( in @ SV172 @ SV13 )
= $false )
| ( ( in @ ( sK7_SY754 @ SV82 @ SV13 ) @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1164,plain,
! [SV13: $i,SV173: $i,SV82: $i > $o] :
( ( ( SV82 @ SV173 )
= $false )
| ( ( in @ SV173 @ SV13 )
= $false )
| ( ( SV82 @ ( sK7_SY754 @ SV82 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1108]) ).
thf(1165,plain,
! [SV145: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ ( sK55_SY579 @ SV145 @ SV18 ) ) )
= $false )
| ( ( SV18 @ SV145 )
= $false )
| ( ( SV18 @ ( sK39_SY864 @ SV145 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1110]) ).
thf(1166,plain,
! [SV145: $i,SV18: $i > $o] :
( ( ( SV18 @ ( sK46_SY579 @ SV145 @ SV18 ) )
= $true )
| ( ( SV18 @ SV145 )
= $false )
| ( ( SV145
= ( sK39_SY864 @ SV145 @ SV18 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1111]) ).
thf(1167,plain,
! [SV20: $i,SV88: $i > $o,SV161: $i] :
( ( ( ~ ( in @ ( sK47_SY761 @ SV161 @ SV88 @ SV20 ) @ SV20 ) )
= $false )
| ( ( in @ SV161 @ SV20 )
= $false )
| ( ( SV88 @ SV161 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1112]) ).
thf(1168,plain,
! [SV20: $i,SV161: $i,SV88: $i > $o] :
( ( ( SV88 @ ( sK47_SY761 @ SV161 @ SV88 @ SV20 ) )
= $false )
| ( ( in @ SV161 @ SV20 )
= $false )
| ( ( SV88 @ SV161 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1112]) ).
thf(1169,plain,
! [SV21: $i,SV177: $i,SV89: $i > $o] :
( ( ( SV89 @ SV177 )
= $false )
| ( ( in @ SV177 @ SV21 )
= $false )
| ( ( in @ ( sK20_SY762 @ SV89 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1170,plain,
! [SV21: $i,SV178: $i,SV89: $i > $o] :
( ( ( SV89 @ SV178 )
= $false )
| ( ( in @ SV178 @ SV21 )
= $false )
| ( ( SV89 @ ( sK20_SY762 @ SV89 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1114]) ).
thf(1171,plain,
! [SV22: $i,SV146: $i,SV194: $i] :
( ( ( ~ ~ ( ~ ( in @ SV194 @ ( sK23_SY588 @ SV146 @ SV22 ) )
| ~ ( in @ SV194 @ SV22 ) ) )
= $true )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1115]) ).
thf(1172,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ~ ( ~ ( SV31 @ ( sK56_SY606 @ SV147 @ SV31 ) )
| ~ ! [SY921: $i] :
( ~ ( SV31 @ SY921 )
| ( ( sK56_SY606 @ SV147 @ SV31 )
= SY921 ) ) ) )
= $false )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV31 @ ( sK40_SY865 @ SV147 @ SV31 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1116]) ).
thf(1173,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ( ~ ( SV31 @ ( sK48_SY606 @ SV147 @ SV31 ) )
| ~ ! [SY912: $i] :
( ~ ( SV31 @ SY912 )
| ( ( sK48_SY606 @ SV147 @ SV31 )
= SY912 ) ) ) )
= $true )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV147
= ( sK40_SY865 @ SV147 @ SV31 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1117]) ).
thf(1174,plain,
! [SV35: $i,SV179: $i,SV101: $i > $o] :
( ( ( SV101 @ SV179 )
= $false )
| ( ( in @ SV179 @ SV35 )
= $false )
| ( ( in @ ( sK21_SY772 @ SV101 @ SV35 ) @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1118]) ).
thf(1175,plain,
! [SV35: $i,SV180: $i,SV101: $i > $o] :
( ( ( SV101 @ SV180 )
= $false )
| ( ( in @ SV180 @ SV35 )
= $false )
| ( ( SV101 @ ( sK21_SY772 @ SV101 @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1119]) ).
thf(1176,plain,
! [SV102: $i > $o,SV181: $i,SV36: $i > $o] :
( ( ( ~ ( SV36 @ SV181 ) )
= $true )
| ( ( ~ ! [SY906: $i] :
( ~ ( SV36 @ SY906 )
| ( SV181 = SY906 ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1177,plain,
! [SV36: $i > $o,SV102: $i > $o] :
( ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) )
| ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1121]) ).
thf(1178,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1122]) ).
thf(1179,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1123]) ).
thf(1180,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1124]) ).
thf(1181,plain,
! [SV104: $i > $o,SV195: $i,SV38: $i > $o] :
( ( ( ~ ~ ( ~ ( SV38 @ SV195 )
| ~ ! [SY922: $i] :
( ~ ( SV38 @ SY922 )
| ( SV195 = SY922 ) ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1125]) ).
thf(1182,plain,
! [SV38: $i > $o,SV196: $i,SV104: $i > $o] :
( ( ( ~ ~ ( ~ ( SV104 @ SV196 )
| ~ ! [SY923: $i] :
( ~ ( SV104 @ SY923 )
| ( SV196 = SY923 ) ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1126]) ).
thf(1183,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1127]) ).
thf(1184,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1185,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1186,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1130]) ).
thf(1187,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1130]) ).
thf(1188,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ( ~ ( SV43 @ ( sK49_SY650 @ SV150 @ SV43 ) )
| ~ ! [SY913: $i] :
( ~ ( SV43 @ SY913 )
| ( ( sK49_SY650 @ SV150 @ SV43 )
= SY913 ) ) ) )
= $true )
| ( ( SV43 @ ( sK31_SY648 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1131]) ).
thf(1189,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ~ ( ~ ( SV43 @ ( sK57_SY650 @ SV150 @ SV43 ) )
| ~ ! [SY924: $i] :
( ~ ( SV43 @ SY924 )
| ( ( sK57_SY650 @ SV150 @ SV43 )
= SY924 ) ) ) )
= $false )
| ( ( SV43 @ ( sK36_SY896 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1132]) ).
thf(1190,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ( ~ ( SV43 @ ( sK50_SY650 @ SV150 @ SV43 ) )
| ~ ! [SY914: $i] :
( ~ ( SV43 @ SY914 )
| ( ( sK50_SY650 @ SV150 @ SV43 )
= SY914 ) ) ) )
= $true )
| ( ( ( sK31_SY648 @ SV150 @ SV43 )
= ( sK36_SY896 @ SV150 @ SV43 ) )
= $false )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1133]) ).
thf(1191,plain,
! [SV45: $i,SV162: $i,SV109: $i > $o] :
( ( ( SV109 @ ( sK37_SY800 @ SV162 @ SV109 @ SV45 ) )
= $false )
| ( ( SV109 @ SV162 )
= $true )
| ( ( in @ SV162 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1192,plain,
! [SV151: $i,SV47: $i > $o] :
( ( ( ~ ! [SY925: $i] :
~ ( ~ ( ~ ( SV47 @ SY925 )
| ( SY925
= ( sK58_SY661 @ SV151 @ SV47 ) ) )
| ~ ( ( SY925
!= ( sK58_SY661 @ SV151 @ SV47 ) )
| ( SV47 @ SY925 ) ) ) )
= $false )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1136]) ).
thf(1193,plain,
! [SV151: $i,SV47: $i > $o] :
( ( ( ! [SY915: $i] :
~ ( ~ ( ~ ( SV47 @ SY915 )
| ( SY915
= ( sK51_SY661 @ SV151 @ SV47 ) ) )
| ~ ( ( SY915
!= ( sK51_SY661 @ SV151 @ SV47 ) )
| ( SV47 @ SY915 ) ) ) )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV151
= ( sK42_SY870 @ SV151 @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1137]) ).
thf(1194,plain,
! [SV51: $i,SV114: $i,SV164: $i > $o,SV152: $i > $o] :
( ( ( ~ ( ~ ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) )
| ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
| ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) ) ) )
= $true )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1142]) ).
thf(1195,plain,
! [SV55: $i,SV187: $i] :
( ( ( ~ ( in @ SV187 @ ( sK2_SY683 @ SV55 ) ) )
= $true )
| ( ( ! [SY916: $i] :
( ~ ( in @ SY916 @ SV187 )
| ( in @ SY916 @ SV55 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1143]) ).
thf(1196,plain,
! [SV197: $i,SV55: $i,SV188: $i] :
( ( ~ ~ ( ~ ( in @ SV188 @ SV55 )
| ~ ( in @ SV197 @ SV55 ) )
| ~ ! [SY926: $i] :
( ~ ( in @ SY926 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SV188 @ SY926 )
| ( in @ SV197 @ SY926 ) )
| ~ ( ~ ( in @ SV197 @ SY926 )
| ( in @ SV188 @ SY926 ) ) ) )
| ( SV188 = SV197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1197,plain,
! [SV182: $i,SV55: $i,SV175: $i] :
( ( ( ~ ( in @ SV175 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SV182 @ ( sK2_SY683 @ SV55 ) ) )
= $true )
| ( ( ! [SY907: $i] :
( ~ ( in @ SY907 @ SV175 )
| ( in @ SY907 @ SV182 ) )
| ! [SY908: $i] :
( ~ ( in @ SY908 @ SV182 )
| ( in @ SY908 @ SV175 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1198,plain,
! [SV169: $i,SV55: $i] :
( ( ( ~ ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 ) )
= $false )
| ( ( ~ ~ ! [SY889: $i] :
~ ( in @ SY889 @ SV169 ) )
= $true )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1199,plain,
! [SV169: $i,SV55: $i] :
( ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( ~ ~ ! [SY889: $i] :
~ ( in @ SY889 @ SV169 ) )
= $true )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1200,plain,
! [SV65: $i > $o,SV153: $i] :
( ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ~ ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1201,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1148]) ).
thf(1202,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1203,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ~ ( ~ ( SV65 @ ( sK59_SY718 @ SV153 @ SV65 ) )
| ~ ! [SY927: $i] :
( ~ ( SV65 @ SY927 )
| ( ( sK59_SY718 @ SV153 @ SV65 )
= SY927 ) ) ) )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1150]) ).
thf(1204,plain,
! [SV123: $i,SV67: $i > $i > $o,SV176: $i] :
( ( ( ~ ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) ) )
= $true )
| ( ( ~ ! [SY904: $i] :
~ ~ ( ~ ( in @ SY904 @ SV123 )
| ~ ( SV67 @ SY904 @ SV176 ) ) )
= $true )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1151]) ).
thf(1205,plain,
! [SV176: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ~ ~ ! [SY905: $i] :
~ ~ ( ~ ( in @ SY905 @ SV123 )
| ~ ( SV67 @ SY905 @ SV176 ) ) )
= $true )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $true )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1152]) ).
thf(1206,plain,
! [SV170: $i,SV123: $i,SV67: $i > $i > $o] :
( ( ( ~ ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1153]) ).
thf(1207,plain,
! [SV67: $i > $i > $o,SV123: $i,SV170: $i] :
( ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1153]) ).
thf(1208,plain,
! [SV70: $i,SV189: $i] :
( ( ( ~ ( in @ SV189 @ omega ) )
= $true )
| ( ( in @ SV189 @ SV70 )
= $true )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( in @ ( sK28_SY731 @ SV70 ) @ omega )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1154]) ).
thf(1209,plain,
! [SV70: $i,SV190: $i] :
( ( ( ~ ( in @ SV190 @ omega ) )
= $true )
| ( ( in @ SV190 @ SV70 )
= $true )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( in @ ( sK28_SY731 @ SV70 ) @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1155]) ).
thf(1210,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ~ ( ~ ( SV71 @ ( sK60_SY735 @ SV155 @ SV71 ) )
| ~ ! [SY928: $i] :
( ~ ( SV71 @ SY928 )
| ( ( sK60_SY735 @ SV155 @ SV71 )
= SY928 ) ) ) )
= $false )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV71 @ ( sK44_SY879 @ SV155 @ SV71 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1156]) ).
thf(1211,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ( ~ ( SV71 @ ( sK54_SY735 @ SV155 @ SV71 ) )
| ~ ! [SY919: $i] :
( ~ ( SV71 @ SY919 )
| ( ( sK54_SY735 @ SV155 @ SV71 )
= SY919 ) ) ) )
= $true )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV155
= ( sK44_SY879 @ SV155 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1157]) ).
thf(1212,plain,
! [SV156: $i,SV198: $i,SV191: $i,SV75: $i > $o] :
( ( ( ~ ( SV75 @ SV191 )
| ~ ( SV75 @ SV198 )
| ( SV191 = SV198 ) )
= $true )
| ( ( SV75 @ SV156 )
= $false )
| ( ( SV75 @ ( sK45_SY880 @ SV156 @ SV75 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1158]) ).
thf(1213,plain,
! [SV156: $i,SV192: $i,SV184: $i,SV75: $i > $o] :
( ( ( ~ ( SV75 @ SV184 ) )
= $true )
| ( ( ~ ( SV75 @ SV192 )
| ( SV184 = SV192 ) )
= $true )
| ( ( SV75 @ SV156 )
= $false )
| ( ( SV156
= ( sK45_SY880 @ SV156 @ SV75 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1159]) ).
thf(1214,plain,
! [SV143: $i,SV193: $i,SV185: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV185 ) )
= $true )
| ( ( ~ ( SV12 @ SV193 )
| ( SV185 = SV193 ) )
= $true )
| ( ( SV12 @ SV143 )
= $false )
| ( ( SV12 @ ( sK38_SY862 @ SV143 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1161]) ).
thf(1215,plain,
! [SV143: $i,SV186: $i,SV183: $i,SV12: $i > $o] :
( ( ( SV12 @ SV183 )
= $false )
| ( ( ~ ( SV12 @ SV186 )
| ( SV183 = SV186 ) )
= $true )
| ( ( SV12 @ SV143 )
= $false )
| ( ( SV143
= ( sK38_SY862 @ SV143 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1216,plain,
! [SV145: $i,SV18: $i > $o] :
( ( ( SV18 @ ( sK55_SY579 @ SV145 @ SV18 ) )
= $true )
| ( ( SV18 @ SV145 )
= $false )
| ( ( SV18 @ ( sK39_SY864 @ SV145 @ SV18 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1165]) ).
thf(1217,plain,
! [SV20: $i,SV88: $i > $o,SV161: $i] :
( ( ( in @ ( sK47_SY761 @ SV161 @ SV88 @ SV20 ) @ SV20 )
= $true )
| ( ( in @ SV161 @ SV20 )
= $false )
| ( ( SV88 @ SV161 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1167]) ).
thf(1218,plain,
! [SV22: $i,SV146: $i,SV194: $i] :
( ( ( ~ ( ~ ( in @ SV194 @ ( sK23_SY588 @ SV146 @ SV22 ) )
| ~ ( in @ SV194 @ SV22 ) ) )
= $false )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1219,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ( ~ ( SV31 @ ( sK56_SY606 @ SV147 @ SV31 ) )
| ~ ! [SY921: $i] :
( ~ ( SV31 @ SY921 )
| ( ( sK56_SY606 @ SV147 @ SV31 )
= SY921 ) ) ) )
= $true )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV31 @ ( sK40_SY865 @ SV147 @ SV31 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1172]) ).
thf(1220,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ ( sK48_SY606 @ SV147 @ SV31 ) )
| ~ ! [SY912: $i] :
( ~ ( SV31 @ SY912 )
| ( ( sK48_SY606 @ SV147 @ SV31 )
= SY912 ) ) )
= $false )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV147
= ( sK40_SY865 @ SV147 @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1221,plain,
! [SV102: $i > $o,SV181: $i,SV36: $i > $o] :
( ( ( SV36 @ SV181 )
= $false )
| ( ( ~ ! [SY906: $i] :
( ~ ( SV36 @ SY906 )
| ( SV181 = SY906 ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1176]) ).
thf(1222,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1177]) ).
thf(1223,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1178]) ).
thf(1224,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1225,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1180]) ).
thf(1226,plain,
! [SV104: $i > $o,SV195: $i,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ SV195 )
| ~ ! [SY922: $i] :
( ~ ( SV38 @ SY922 )
| ( SV195 = SY922 ) ) ) )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1227,plain,
! [SV38: $i > $o,SV196: $i,SV104: $i > $o] :
( ( ( ~ ( ~ ( SV104 @ SV196 )
| ~ ! [SY923: $i] :
( ~ ( SV104 @ SY923 )
| ( SV196 = SY923 ) ) ) )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1182]) ).
thf(1228,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
| ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1183]) ).
thf(1229,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1184]) ).
thf(1230,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1184]) ).
thf(1231,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1185]) ).
thf(1232,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1185]) ).
thf(1233,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1186]) ).
thf(1234,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1187]) ).
thf(1235,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ ( sK49_SY650 @ SV150 @ SV43 ) )
| ~ ! [SY913: $i] :
( ~ ( SV43 @ SY913 )
| ( ( sK49_SY650 @ SV150 @ SV43 )
= SY913 ) ) )
= $false )
| ( ( SV43 @ ( sK31_SY648 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1236,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ( ~ ( SV43 @ ( sK57_SY650 @ SV150 @ SV43 ) )
| ~ ! [SY924: $i] :
( ~ ( SV43 @ SY924 )
| ( ( sK57_SY650 @ SV150 @ SV43 )
= SY924 ) ) ) )
= $true )
| ( ( SV43 @ ( sK36_SY896 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1189]) ).
thf(1237,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ ( sK50_SY650 @ SV150 @ SV43 ) )
| ~ ! [SY914: $i] :
( ~ ( SV43 @ SY914 )
| ( ( sK50_SY650 @ SV150 @ SV43 )
= SY914 ) ) )
= $false )
| ( ( ( sK31_SY648 @ SV150 @ SV43 )
= ( sK36_SY896 @ SV150 @ SV43 ) )
= $false )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1190]) ).
thf(1238,plain,
! [SV151: $i,SV47: $i > $o] :
( ( ( ! [SY925: $i] :
~ ( ~ ( ~ ( SV47 @ SY925 )
| ( SY925
= ( sK58_SY661 @ SV151 @ SV47 ) ) )
| ~ ( ( SY925
!= ( sK58_SY661 @ SV151 @ SV47 ) )
| ( SV47 @ SY925 ) ) ) )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1192]) ).
thf(1239,plain,
! [SV151: $i,SV199: $i,SV47: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV47 @ SV199 )
| ( SV199
= ( sK51_SY661 @ SV151 @ SV47 ) ) )
| ~ ( ( SV199
!= ( sK51_SY661 @ SV151 @ SV47 ) )
| ( SV47 @ SV199 ) ) ) )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV151
= ( sK42_SY870 @ SV151 @ SV47 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1193]) ).
thf(1240,plain,
! [SV51: $i,SV114: $i,SV164: $i > $o,SV152: $i > $o] :
( ( ( ~ ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) )
| ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) ) )
= $false )
| ( ( ~ ( ~ ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
| ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) ) ) )
= $true )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1241,plain,
! [SV55: $i,SV187: $i] :
( ( ( in @ SV187 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( ! [SY916: $i] :
( ~ ( in @ SY916 @ SV187 )
| ( in @ SY916 @ SV55 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1242,plain,
! [SV197: $i,SV55: $i,SV188: $i] :
( ( ( ~ ~ ( ~ ( in @ SV188 @ SV55 )
| ~ ( in @ SV197 @ SV55 ) ) )
= $true )
| ( ( ~ ! [SY926: $i] :
( ~ ( in @ SY926 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SV188 @ SY926 )
| ( in @ SV197 @ SY926 ) )
| ~ ( ~ ( in @ SV197 @ SY926 )
| ( in @ SV188 @ SY926 ) ) ) )
| ( SV188 = SV197 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1196]) ).
thf(1243,plain,
! [SV182: $i,SV55: $i,SV175: $i] :
( ( ( ~ ( in @ SV175 @ ( sK2_SY683 @ SV55 ) ) )
= $true )
| ( ( ~ ( in @ SV182 @ ( sK2_SY683 @ SV55 ) ) )
= $true )
| ( ( ! [SY907: $i] :
( ~ ( in @ SY907 @ SV175 )
| ( in @ SY907 @ SV182 ) )
| ! [SY908: $i] :
( ~ ( in @ SY908 @ SV182 )
| ( in @ SY908 @ SV175 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1197]) ).
thf(1244,plain,
! [SV169: $i,SV55: $i] :
( ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( ~ ~ ! [SY889: $i] :
~ ( in @ SY889 @ SV169 ) )
= $true )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1245,plain,
! [SV55: $i,SV169: $i] :
( ( ( ~ ! [SY889: $i] :
~ ( in @ SY889 @ SV169 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1199]) ).
thf(1246,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ! [SY718: $i] :
~ ~ ( ~ ( SV65 @ SY718 )
| ~ ! [SY719: $i] :
( ~ ( SV65 @ SY719 )
| ( SY718 = SY719 ) ) ) )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1200]) ).
thf(1247,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ~ ( ~ ( SV65 @ ( sK61_SY718 @ SV153 @ SV65 ) )
| ~ ! [SY929: $i] :
( ~ ( SV65 @ SY929 )
| ( ( sK61_SY718 @ SV153 @ SV65 )
= SY929 ) ) ) )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1201]) ).
thf(1248,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ~ ( ~ ( SV65 @ ( sK62_SY718 @ SV153 @ SV65 ) )
| ~ ! [SY930: $i] :
( ~ ( SV65 @ SY930 )
| ( ( sK62_SY718 @ SV153 @ SV65 )
= SY930 ) ) ) )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1202]) ).
thf(1249,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( ~ ( SV65 @ ( sK59_SY718 @ SV153 @ SV65 ) )
| ~ ! [SY927: $i] :
( ~ ( SV65 @ SY927 )
| ( ( sK59_SY718 @ SV153 @ SV65 )
= SY927 ) ) ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1203]) ).
thf(1250,plain,
! [SV123: $i,SV67: $i > $i > $o,SV176: $i] :
( ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $false )
| ( ( ~ ! [SY904: $i] :
~ ~ ( ~ ( in @ SY904 @ SV123 )
| ~ ( SV67 @ SY904 @ SV176 ) ) )
= $true )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1204]) ).
thf(1251,plain,
! [SV176: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ~ ! [SY905: $i] :
~ ~ ( ~ ( in @ SY905 @ SV123 )
| ~ ( SV67 @ SY905 @ SV176 ) ) )
= $false )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $true )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1205]) ).
thf(1252,plain,
! [SV170: $i,SV123: $i,SV67: $i > $i > $o] :
( ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( ~ ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1206]) ).
thf(1253,plain,
! [SV170: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1207]) ).
thf(1254,plain,
! [SV70: $i,SV189: $i] :
( ( ( in @ SV189 @ omega )
= $false )
| ( ( in @ SV189 @ SV70 )
= $true )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( in @ ( sK28_SY731 @ SV70 ) @ omega )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1255,plain,
! [SV70: $i,SV190: $i] :
( ( ( in @ SV190 @ omega )
= $false )
| ( ( in @ SV190 @ SV70 )
= $true )
| ( ( in @ emptyset @ SV70 )
= $false )
| ( ( in @ ( sK28_SY731 @ SV70 ) @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1256,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ( ~ ( SV71 @ ( sK60_SY735 @ SV155 @ SV71 ) )
| ~ ! [SY928: $i] :
( ~ ( SV71 @ SY928 )
| ( ( sK60_SY735 @ SV155 @ SV71 )
= SY928 ) ) ) )
= $true )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV71 @ ( sK44_SY879 @ SV155 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1257,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ ( sK54_SY735 @ SV155 @ SV71 ) )
| ~ ! [SY919: $i] :
( ~ ( SV71 @ SY919 )
| ( ( sK54_SY735 @ SV155 @ SV71 )
= SY919 ) ) )
= $false )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV155
= ( sK44_SY879 @ SV155 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1211]) ).
thf(1258,plain,
! [SV156: $i,SV198: $i,SV191: $i,SV75: $i > $o] :
( ( ( ~ ( SV75 @ SV191 ) )
= $true )
| ( ( ~ ( SV75 @ SV198 )
| ( SV191 = SV198 ) )
= $true )
| ( ( SV75 @ SV156 )
= $false )
| ( ( SV75 @ ( sK45_SY880 @ SV156 @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1212]) ).
thf(1259,plain,
! [SV156: $i,SV192: $i,SV184: $i,SV75: $i > $o] :
( ( ( SV75 @ SV184 )
= $false )
| ( ( ~ ( SV75 @ SV192 )
| ( SV184 = SV192 ) )
= $true )
| ( ( SV75 @ SV156 )
= $false )
| ( ( SV156
= ( sK45_SY880 @ SV156 @ SV75 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1260,plain,
! [SV143: $i,SV193: $i,SV185: $i,SV12: $i > $o] :
( ( ( SV12 @ SV185 )
= $false )
| ( ( ~ ( SV12 @ SV193 )
| ( SV185 = SV193 ) )
= $true )
| ( ( SV12 @ SV143 )
= $false )
| ( ( SV12 @ ( sK38_SY862 @ SV143 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1214]) ).
thf(1261,plain,
! [SV143: $i,SV183: $i,SV186: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV186 ) )
= $true )
| ( ( SV183 = SV186 )
= $true )
| ( ( SV12 @ SV183 )
= $false )
| ( ( SV12 @ SV143 )
= $false )
| ( ( SV143
= ( sK38_SY862 @ SV143 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1215]) ).
thf(1262,plain,
! [SV22: $i,SV146: $i,SV194: $i] :
( ( ( ~ ( in @ SV194 @ ( sK23_SY588 @ SV146 @ SV22 ) )
| ~ ( in @ SV194 @ SV22 ) )
= $true )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1218]) ).
thf(1263,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ ( sK56_SY606 @ SV147 @ SV31 ) )
| ~ ! [SY921: $i] :
( ~ ( SV31 @ SY921 )
| ( ( sK56_SY606 @ SV147 @ SV31 )
= SY921 ) ) )
= $false )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV31 @ ( sK40_SY865 @ SV147 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1219]) ).
thf(1264,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ ( sK48_SY606 @ SV147 @ SV31 ) ) )
= $false )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV147
= ( sK40_SY865 @ SV147 @ SV31 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1220]) ).
thf(1265,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ! [SY912: $i] :
( ~ ( SV31 @ SY912 )
| ( ( sK48_SY606 @ SV147 @ SV31 )
= SY912 ) ) )
= $false )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV147
= ( sK40_SY865 @ SV147 @ SV31 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1220]) ).
thf(1266,plain,
! [SV102: $i > $o,SV181: $i,SV36: $i > $o] :
( ( ( ! [SY906: $i] :
( ~ ( SV36 @ SY906 )
| ( SV181 = SY906 ) ) )
= $false )
| ( ( SV36 @ SV181 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1221]) ).
thf(1267,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1222]) ).
thf(1268,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1223]) ).
thf(1269,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1224]) ).
thf(1270,plain,
! [SV102: $i > $o,SV200: $i,SV36: $i > $o] :
( ( ( ~ ~ ( ~ ( SV36 @ SV200 )
| ~ ! [SY931: $i] :
( ~ ( SV36 @ SY931 )
| ( SV200 = SY931 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1271,plain,
! [SV104: $i > $o,SV195: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV195 )
| ~ ! [SY922: $i] :
( ~ ( SV38 @ SY922 )
| ( SV195 = SY922 ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1226]) ).
thf(1272,plain,
! [SV38: $i > $o,SV196: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV196 )
| ~ ! [SY923: $i] :
( ~ ( SV104 @ SY923 )
| ( SV196 = SY923 ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1227]) ).
thf(1273,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1274,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1275,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1229]) ).
thf(1276,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1230]) ).
thf(1277,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1231]) ).
thf(1278,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1232]) ).
thf(1279,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1233]) ).
thf(1280,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1234]) ).
thf(1281,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ ( sK49_SY650 @ SV150 @ SV43 ) ) )
= $false )
| ( ( SV43 @ ( sK31_SY648 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1235]) ).
thf(1282,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ! [SY913: $i] :
( ~ ( SV43 @ SY913 )
| ( ( sK49_SY650 @ SV150 @ SV43 )
= SY913 ) ) )
= $false )
| ( ( SV43 @ ( sK31_SY648 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1235]) ).
thf(1283,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ ( sK57_SY650 @ SV150 @ SV43 ) )
| ~ ! [SY924: $i] :
( ~ ( SV43 @ SY924 )
| ( ( sK57_SY650 @ SV150 @ SV43 )
= SY924 ) ) )
= $false )
| ( ( SV43 @ ( sK36_SY896 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1284,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ ( sK50_SY650 @ SV150 @ SV43 ) ) )
= $false )
| ( ( ( sK31_SY648 @ SV150 @ SV43 )
= ( sK36_SY896 @ SV150 @ SV43 ) )
= $false )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1285,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ! [SY914: $i] :
( ~ ( SV43 @ SY914 )
| ( ( sK50_SY650 @ SV150 @ SV43 )
= SY914 ) ) )
= $false )
| ( ( ( sK31_SY648 @ SV150 @ SV43 )
= ( sK36_SY896 @ SV150 @ SV43 ) )
= $false )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1286,plain,
! [SV151: $i,SV201: $i,SV47: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV47 @ SV201 )
| ( SV201
= ( sK58_SY661 @ SV151 @ SV47 ) ) )
| ~ ( ( SV201
!= ( sK58_SY661 @ SV151 @ SV47 ) )
| ( SV47 @ SV201 ) ) ) )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1238]) ).
thf(1287,plain,
! [SV151: $i,SV199: $i,SV47: $i > $o] :
( ( ( ~ ( ~ ( SV47 @ SV199 )
| ( SV199
= ( sK51_SY661 @ SV151 @ SV47 ) ) )
| ~ ( ( SV199
!= ( sK51_SY661 @ SV151 @ SV47 ) )
| ( SV47 @ SV199 ) ) )
= $false )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV151
= ( sK42_SY870 @ SV151 @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1239]) ).
thf(1288,plain,
! [SV51: $i,SV114: $i,SV164: $i > $o,SV152: $i > $o] :
( ( ( ~ ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) ) )
= $false )
| ( ( ~ ( ~ ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
| ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) ) ) )
= $true )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1240]) ).
thf(1289,plain,
! [SV114: $i,SV152: $i > $o,SV51: $i,SV164: $i > $o] :
( ( ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
= $false )
| ( ( ~ ( ~ ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
| ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) ) ) )
= $true )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1240]) ).
thf(1290,plain,
! [SV55: $i,SV187: $i,SV202: $i] :
( ( ( ~ ( in @ SV202 @ SV187 )
| ( in @ SV202 @ SV55 ) )
= $true )
| ( ( in @ SV187 @ ( sK2_SY683 @ SV55 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1241]) ).
thf(1291,plain,
! [SV197: $i,SV55: $i,SV188: $i] :
( ( ( ~ ( ~ ( in @ SV188 @ SV55 )
| ~ ( in @ SV197 @ SV55 ) ) )
= $false )
| ( ( ~ ! [SY926: $i] :
( ~ ( in @ SY926 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SV188 @ SY926 )
| ( in @ SV197 @ SY926 ) )
| ~ ( ~ ( in @ SV197 @ SY926 )
| ( in @ SV188 @ SY926 ) ) ) )
| ( SV188 = SV197 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1292,plain,
! [SV182: $i,SV55: $i,SV175: $i] :
( ( ( in @ SV175 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( ~ ( in @ SV182 @ ( sK2_SY683 @ SV55 ) ) )
= $true )
| ( ( ! [SY907: $i] :
( ~ ( in @ SY907 @ SV175 )
| ( in @ SY907 @ SV182 ) )
| ! [SY908: $i] :
( ~ ( in @ SY908 @ SV182 )
| ( in @ SY908 @ SV175 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1293,plain,
! [SV55: $i,SV169: $i] :
( ( ( ~ ! [SY889: $i] :
~ ( in @ SY889 @ SV169 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1294,plain,
! [SV55: $i,SV169: $i] :
( ( ( ! [SY889: $i] :
~ ( in @ SY889 @ SV169 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1295,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ~ ( ~ ( SV65 @ ( sK63_SY718 @ SV153 @ SV65 ) )
| ~ ! [SY932: $i] :
( ~ ( SV65 @ SY932 )
| ( ( sK63_SY718 @ SV153 @ SV65 )
= SY932 ) ) ) )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1246]) ).
thf(1296,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( ~ ( SV65 @ ( sK61_SY718 @ SV153 @ SV65 ) )
| ~ ! [SY929: $i] :
( ~ ( SV65 @ SY929 )
| ( ( sK61_SY718 @ SV153 @ SV65 )
= SY929 ) ) ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1297,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( ~ ( SV65 @ ( sK62_SY718 @ SV153 @ SV65 ) )
| ~ ! [SY930: $i] :
( ~ ( SV65 @ SY930 )
| ( ( sK62_SY718 @ SV153 @ SV65 )
= SY930 ) ) ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1248]) ).
thf(1298,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ ( sK59_SY718 @ SV153 @ SV65 ) )
| ~ ! [SY927: $i] :
( ~ ( SV65 @ SY927 )
| ( ( sK59_SY718 @ SV153 @ SV65 )
= SY927 ) ) )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1299,plain,
! [SV176: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ! [SY904: $i] :
~ ~ ( ~ ( in @ SY904 @ SV123 )
| ~ ( SV67 @ SY904 @ SV176 ) ) )
= $false )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $false )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1300,plain,
! [SV176: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ! [SY905: $i] :
~ ~ ( ~ ( in @ SY905 @ SV123 )
| ~ ( SV67 @ SY905 @ SV176 ) ) )
= $true )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $true )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1251]) ).
thf(1301,plain,
! [SV170: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ! [SY825: $i] :
~ ! [SY826: $i] :
~ ( ~ ( ~ ( in @ SY826 @ SY825 )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY826 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY826 ) )
| ( in @ SY826 @ SY825 ) ) ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1302,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i] :
( ( ( ~ ! [SY933: $i] :
~ ( ~ ( ~ ( in @ SY933 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY933 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY933 ) )
| ( in @ SY933 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) ) ) ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1253]) ).
thf(1303,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ ( sK60_SY735 @ SV155 @ SV71 ) )
| ~ ! [SY928: $i] :
( ~ ( SV71 @ SY928 )
| ( ( sK60_SY735 @ SV155 @ SV71 )
= SY928 ) ) )
= $false )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV71 @ ( sK44_SY879 @ SV155 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1256]) ).
thf(1304,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ ( sK54_SY735 @ SV155 @ SV71 ) ) )
= $false )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV155
= ( sK44_SY879 @ SV155 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1257]) ).
thf(1305,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ! [SY919: $i] :
( ~ ( SV71 @ SY919 )
| ( ( sK54_SY735 @ SV155 @ SV71 )
= SY919 ) ) )
= $false )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV155
= ( sK44_SY879 @ SV155 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1257]) ).
thf(1306,plain,
! [SV156: $i,SV198: $i,SV191: $i,SV75: $i > $o] :
( ( ( SV75 @ SV191 )
= $false )
| ( ( ~ ( SV75 @ SV198 )
| ( SV191 = SV198 ) )
= $true )
| ( ( SV75 @ SV156 )
= $false )
| ( ( SV75 @ ( sK45_SY880 @ SV156 @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1307,plain,
! [SV156: $i,SV184: $i,SV192: $i,SV75: $i > $o] :
( ( ( ~ ( SV75 @ SV192 ) )
= $true )
| ( ( SV184 = SV192 )
= $true )
| ( ( SV75 @ SV184 )
= $false )
| ( ( SV75 @ SV156 )
= $false )
| ( ( SV156
= ( sK45_SY880 @ SV156 @ SV75 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1259]) ).
thf(1308,plain,
! [SV143: $i,SV185: $i,SV193: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV193 ) )
= $true )
| ( ( SV185 = SV193 )
= $true )
| ( ( SV12 @ SV185 )
= $false )
| ( ( SV12 @ SV143 )
= $false )
| ( ( SV12 @ ( sK38_SY862 @ SV143 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1260]) ).
thf(1309,plain,
! [SV143: $i,SV183: $i,SV186: $i,SV12: $i > $o] :
( ( ( SV12 @ SV186 )
= $false )
| ( ( SV183 = SV186 )
= $true )
| ( ( SV12 @ SV183 )
= $false )
| ( ( SV12 @ SV143 )
= $false )
| ( ( SV143
= ( sK38_SY862 @ SV143 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1261]) ).
thf(1310,plain,
! [SV22: $i,SV146: $i,SV194: $i] :
( ( ( ~ ( in @ SV194 @ ( sK23_SY588 @ SV146 @ SV22 ) ) )
= $true )
| ( ( ~ ( in @ SV194 @ SV22 ) )
= $true )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1262]) ).
thf(1311,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ ( sK56_SY606 @ SV147 @ SV31 ) ) )
= $false )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV31 @ ( sK40_SY865 @ SV147 @ SV31 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1263]) ).
thf(1312,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ~ ! [SY921: $i] :
( ~ ( SV31 @ SY921 )
| ( ( sK56_SY606 @ SV147 @ SV31 )
= SY921 ) ) )
= $false )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV31 @ ( sK40_SY865 @ SV147 @ SV31 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1263]) ).
thf(1313,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( SV31 @ ( sK48_SY606 @ SV147 @ SV31 ) )
= $true )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV147
= ( sK40_SY865 @ SV147 @ SV31 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1264]) ).
thf(1314,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ! [SY912: $i] :
( ~ ( SV31 @ SY912 )
| ( ( sK48_SY606 @ SV147 @ SV31 )
= SY912 ) ) )
= $true )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV147
= ( sK40_SY865 @ SV147 @ SV31 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1265]) ).
thf(1315,plain,
! [SV181: $i,SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
| ( SV181
= ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) ) )
= $false )
| ( ( SV36 @ SV181 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1266]) ).
thf(1316,plain,
! [SV102: $i > $o,SV36: $i > $o] :
( ( ( ! [SY620: $i] :
~ ~ ( ~ ( SV36 @ SY620 )
| ~ ! [SY621: $i] :
( ~ ( SV36 @ SY621 )
| ( SY620 = SY621 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1267]) ).
thf(1317,plain,
! [SV102: $i > $o,SV203: $i,SV36: $i > $o] :
( ( ( ~ ~ ( ~ ( SV36 @ SV203 )
| ~ ! [SY936: $i] :
( ~ ( SV36 @ SY936 )
| ( SV203 = SY936 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1268]) ).
thf(1318,plain,
! [SV102: $i > $o,SV204: $i,SV36: $i > $o] :
( ( ( ~ ~ ( ~ ( SV36 @ SV204 )
| ~ ! [SY937: $i] :
( ~ ( SV36 @ SY937 )
| ( SV204 = SY937 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1269]) ).
thf(1319,plain,
! [SV102: $i > $o,SV200: $i,SV36: $i > $o] :
( ( ( ~ ( ~ ( SV36 @ SV200 )
| ~ ! [SY931: $i] :
( ~ ( SV36 @ SY931 )
| ( SV200 = SY931 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1270]) ).
thf(1320,plain,
! [SV104: $i > $o,SV195: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV195 ) )
= $true )
| ( ( ~ ! [SY922: $i] :
( ~ ( SV38 @ SY922 )
| ( SV195 = SY922 ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1271]) ).
thf(1321,plain,
! [SV38: $i > $o,SV196: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV196 ) )
= $true )
| ( ( ~ ! [SY923: $i] :
( ~ ( SV104 @ SY923 )
| ( SV196 = SY923 ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1272]) ).
thf(1322,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) )
| ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1273]) ).
thf(1323,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) )
| ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1274]) ).
thf(1324,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1275]) ).
thf(1325,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1276]) ).
thf(1326,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1277]) ).
thf(1327,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1278]) ).
thf(1328,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) ) )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1329,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) ) )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1280]) ).
thf(1330,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( SV43 @ ( sK49_SY650 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ ( sK31_SY648 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1281]) ).
thf(1331,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ! [SY913: $i] :
( ~ ( SV43 @ SY913 )
| ( ( sK49_SY650 @ SV150 @ SV43 )
= SY913 ) ) )
= $true )
| ( ( SV43 @ ( sK31_SY648 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1282]) ).
thf(1332,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ ( sK57_SY650 @ SV150 @ SV43 ) ) )
= $false )
| ( ( SV43 @ ( sK36_SY896 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1283]) ).
thf(1333,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ~ ! [SY924: $i] :
( ~ ( SV43 @ SY924 )
| ( ( sK57_SY650 @ SV150 @ SV43 )
= SY924 ) ) )
= $false )
| ( ( SV43 @ ( sK36_SY896 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1283]) ).
thf(1334,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( SV43 @ ( sK50_SY650 @ SV150 @ SV43 ) )
= $true )
| ( ( ( sK31_SY648 @ SV150 @ SV43 )
= ( sK36_SY896 @ SV150 @ SV43 ) )
= $false )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1284]) ).
thf(1335,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ! [SY914: $i] :
( ~ ( SV43 @ SY914 )
| ( ( sK50_SY650 @ SV150 @ SV43 )
= SY914 ) ) )
= $true )
| ( ( ( sK31_SY648 @ SV150 @ SV43 )
= ( sK36_SY896 @ SV150 @ SV43 ) )
= $false )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1285]) ).
thf(1336,plain,
! [SV151: $i,SV201: $i,SV47: $i > $o] :
( ( ( ~ ( ~ ( SV47 @ SV201 )
| ( SV201
= ( sK58_SY661 @ SV151 @ SV47 ) ) )
| ~ ( ( SV201
!= ( sK58_SY661 @ SV151 @ SV47 ) )
| ( SV47 @ SV201 ) ) )
= $false )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1286]) ).
thf(1337,plain,
! [SV151: $i,SV199: $i,SV47: $i > $o] :
( ( ( ~ ( ~ ( SV47 @ SV199 )
| ( SV199
= ( sK51_SY661 @ SV151 @ SV47 ) ) ) )
= $false )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV151
= ( sK42_SY870 @ SV151 @ SV47 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1287]) ).
thf(1338,plain,
! [SV47: $i > $o,SV151: $i,SV199: $i] :
( ( ( ~ ( ( SV199
!= ( sK51_SY661 @ SV151 @ SV47 ) )
| ( SV47 @ SV199 ) ) )
= $false )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV151
= ( sK42_SY870 @ SV151 @ SV47 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1287]) ).
thf(1339,plain,
! [SV51: $i,SV114: $i,SV164: $i > $o,SV152: $i > $o] :
( ( ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) )
= $true )
| ( ( ~ ( ~ ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
| ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) ) ) )
= $true )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1288]) ).
thf(1340,plain,
! [SV114: $i,SV152: $i > $o,SV51: $i,SV164: $i > $o] :
( ( ( ~ ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
| ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) ) )
= $false )
| ( ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
= $false )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1289]) ).
thf(1341,plain,
! [SV55: $i,SV187: $i,SV202: $i] :
( ( ( ~ ( in @ SV202 @ SV187 ) )
= $true )
| ( ( in @ SV202 @ SV55 )
= $true )
| ( ( in @ SV187 @ ( sK2_SY683 @ SV55 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1290]) ).
thf(1342,plain,
! [SV197: $i,SV55: $i,SV188: $i] :
( ( ( ~ ( in @ SV188 @ SV55 )
| ~ ( in @ SV197 @ SV55 ) )
= $true )
| ( ( ~ ! [SY926: $i] :
( ~ ( in @ SY926 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SV188 @ SY926 )
| ( in @ SV197 @ SY926 ) )
| ~ ( ~ ( in @ SV197 @ SY926 )
| ( in @ SV188 @ SY926 ) ) ) )
| ( SV188 = SV197 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1291]) ).
thf(1343,plain,
! [SV175: $i,SV55: $i,SV182: $i] :
( ( ( in @ SV182 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ SV175 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( ! [SY907: $i] :
( ~ ( in @ SY907 @ SV175 )
| ( in @ SY907 @ SV182 ) )
| ! [SY908: $i] :
( ~ ( in @ SY908 @ SV182 )
| ( in @ SY908 @ SV175 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1344,plain,
! [SV55: $i,SV169: $i] :
( ( ( ! [SY889: $i] :
~ ( in @ SY889 @ SV169 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1345,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ( in @ SV205 @ SV169 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1294]) ).
thf(1346,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( ~ ( SV65 @ ( sK63_SY718 @ SV153 @ SV65 ) )
| ~ ! [SY932: $i] :
( ~ ( SV65 @ SY932 )
| ( ( sK63_SY718 @ SV153 @ SV65 )
= SY932 ) ) ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1295]) ).
thf(1347,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ ( sK61_SY718 @ SV153 @ SV65 ) )
| ~ ! [SY929: $i] :
( ~ ( SV65 @ SY929 )
| ( ( sK61_SY718 @ SV153 @ SV65 )
= SY929 ) ) )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1296]) ).
thf(1348,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ ( sK62_SY718 @ SV153 @ SV65 ) )
| ~ ! [SY930: $i] :
( ~ ( SV65 @ SY930 )
| ( ( sK62_SY718 @ SV153 @ SV65 )
= SY930 ) ) )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1349,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ ( sK59_SY718 @ SV153 @ SV65 ) ) )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1298]) ).
thf(1350,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ! [SY927: $i] :
( ~ ( SV65 @ SY927 )
| ( ( sK59_SY718 @ SV153 @ SV65 )
= SY927 ) ) )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1298]) ).
thf(1351,plain,
! [SV123: $i,SV67: $i > $i > $o,SV176: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK66_SY904 @ SV176 @ SV67 @ SV123 ) @ SV123 )
| ~ ( SV67 @ ( sK66_SY904 @ SV176 @ SV67 @ SV123 ) @ SV176 ) ) )
= $false )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $false )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1299]) ).
thf(1352,plain,
! [SV176: $i,SV67: $i > $i > $o,SV123: $i,SV206: $i] :
( ( ( ~ ~ ( ~ ( in @ SV206 @ SV123 )
| ~ ( SV67 @ SV206 @ SV176 ) ) )
= $true )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $true )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1300]) ).
thf(1353,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i] :
( ( ( ~ ! [SY938: $i] :
~ ( ~ ( ~ ( in @ SY938 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY938 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY938 ) )
| ( in @ SY938 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) ) ) ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1301]) ).
thf(1354,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i] :
( ( ( ! [SY933: $i] :
~ ( ~ ( ~ ( in @ SY933 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY933 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY933 ) )
| ( in @ SY933 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) ) ) ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1302]) ).
thf(1355,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ ( sK60_SY735 @ SV155 @ SV71 ) ) )
= $false )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV71 @ ( sK44_SY879 @ SV155 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1356,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ~ ! [SY928: $i] :
( ~ ( SV71 @ SY928 )
| ( ( sK60_SY735 @ SV155 @ SV71 )
= SY928 ) ) )
= $false )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV71 @ ( sK44_SY879 @ SV155 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1357,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( SV71 @ ( sK54_SY735 @ SV155 @ SV71 ) )
= $true )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV155
= ( sK44_SY879 @ SV155 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1304]) ).
thf(1358,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ! [SY919: $i] :
( ~ ( SV71 @ SY919 )
| ( ( sK54_SY735 @ SV155 @ SV71 )
= SY919 ) ) )
= $true )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV155
= ( sK44_SY879 @ SV155 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1305]) ).
thf(1359,plain,
! [SV156: $i,SV191: $i,SV198: $i,SV75: $i > $o] :
( ( ( ~ ( SV75 @ SV198 ) )
= $true )
| ( ( SV191 = SV198 )
= $true )
| ( ( SV75 @ SV191 )
= $false )
| ( ( SV75 @ SV156 )
= $false )
| ( ( SV75 @ ( sK45_SY880 @ SV156 @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1306]) ).
thf(1360,plain,
! [SV156: $i,SV184: $i,SV192: $i,SV75: $i > $o] :
( ( ( SV75 @ SV192 )
= $false )
| ( ( SV184 = SV192 )
= $true )
| ( ( SV75 @ SV184 )
= $false )
| ( ( SV75 @ SV156 )
= $false )
| ( ( SV156
= ( sK45_SY880 @ SV156 @ SV75 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1307]) ).
thf(1361,plain,
! [SV143: $i,SV185: $i,SV193: $i,SV12: $i > $o] :
( ( ( SV12 @ SV193 )
= $false )
| ( ( SV185 = SV193 )
= $true )
| ( ( SV12 @ SV185 )
= $false )
| ( ( SV12 @ SV143 )
= $false )
| ( ( SV12 @ ( sK38_SY862 @ SV143 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1308]) ).
thf(1362,plain,
! [SV22: $i,SV146: $i,SV194: $i] :
( ( ( in @ SV194 @ ( sK23_SY588 @ SV146 @ SV22 ) )
= $false )
| ( ( ~ ( in @ SV194 @ SV22 ) )
= $true )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1310]) ).
thf(1363,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( SV31 @ ( sK56_SY606 @ SV147 @ SV31 ) )
= $true )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV31 @ ( sK40_SY865 @ SV147 @ SV31 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1311]) ).
thf(1364,plain,
! [SV147: $i,SV31: $i > $o] :
( ( ( ! [SY921: $i] :
( ~ ( SV31 @ SY921 )
| ( ( sK56_SY606 @ SV147 @ SV31 )
= SY921 ) ) )
= $true )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV31 @ ( sK40_SY865 @ SV147 @ SV31 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1312]) ).
thf(1365,plain,
! [SV147: $i,SV207: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ SV207 )
| ( ( sK48_SY606 @ SV147 @ SV31 )
= SV207 ) )
= $true )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV147
= ( sK40_SY865 @ SV147 @ SV31 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1314]) ).
thf(1366,plain,
! [SV181: $i,SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) ) )
= $false )
| ( ( SV36 @ SV181 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1315]) ).
thf(1367,plain,
! [SV36: $i > $o,SV102: $i > $o,SV181: $i] :
( ( ( SV181
= ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $false )
| ( ( SV36 @ SV181 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1315]) ).
thf(1368,plain,
! [SV102: $i > $o,SV208: $i,SV36: $i > $o] :
( ( ( ~ ~ ( ~ ( SV36 @ SV208 )
| ~ ! [SY941: $i] :
( ~ ( SV36 @ SY941 )
| ( SV208 = SY941 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1316]) ).
thf(1369,plain,
! [SV102: $i > $o,SV203: $i,SV36: $i > $o] :
( ( ( ~ ( ~ ( SV36 @ SV203 )
| ~ ! [SY936: $i] :
( ~ ( SV36 @ SY936 )
| ( SV203 = SY936 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1317]) ).
thf(1370,plain,
! [SV102: $i > $o,SV204: $i,SV36: $i > $o] :
( ( ( ~ ( ~ ( SV36 @ SV204 )
| ~ ! [SY937: $i] :
( ~ ( SV36 @ SY937 )
| ( SV204 = SY937 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1318]) ).
thf(1371,plain,
! [SV102: $i > $o,SV200: $i,SV36: $i > $o] :
( ( ( ~ ( SV36 @ SV200 )
| ~ ! [SY931: $i] :
( ~ ( SV36 @ SY931 )
| ( SV200 = SY931 ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1319]) ).
thf(1372,plain,
! [SV104: $i > $o,SV195: $i,SV38: $i > $o] :
( ( ( SV38 @ SV195 )
= $false )
| ( ( ~ ! [SY922: $i] :
( ~ ( SV38 @ SY922 )
| ( SV195 = SY922 ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1320]) ).
thf(1373,plain,
! [SV38: $i > $o,SV196: $i,SV104: $i > $o] :
( ( ( SV104 @ SV196 )
= $false )
| ( ( ~ ! [SY923: $i] :
( ~ ( SV104 @ SY923 )
| ( SV196 = SY923 ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1321]) ).
thf(1374,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1322]) ).
thf(1375,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1323]) ).
thf(1376,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) ) )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1324]) ).
thf(1377,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) ) )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1325]) ).
thf(1378,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) ) )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1326]) ).
thf(1379,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) ) )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1380,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1328]) ).
thf(1381,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1329]) ).
thf(1382,plain,
! [SV150: $i,SV209: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ SV209 )
| ( ( sK49_SY650 @ SV150 @ SV43 )
= SV209 ) )
= $true )
| ( ( SV43 @ ( sK31_SY648 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1331]) ).
thf(1383,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( SV43 @ ( sK57_SY650 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ ( sK36_SY896 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1332]) ).
thf(1384,plain,
! [SV150: $i,SV43: $i > $o] :
( ( ( ! [SY924: $i] :
( ~ ( SV43 @ SY924 )
| ( ( sK57_SY650 @ SV150 @ SV43 )
= SY924 ) ) )
= $true )
| ( ( SV43 @ ( sK36_SY896 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1333]) ).
thf(1385,plain,
! [SV150: $i,SV210: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ SV210 )
| ( ( sK50_SY650 @ SV150 @ SV43 )
= SV210 ) )
= $true )
| ( ( ( sK31_SY648 @ SV150 @ SV43 )
= ( sK36_SY896 @ SV150 @ SV43 ) )
= $false )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1335]) ).
thf(1386,plain,
! [SV151: $i,SV201: $i,SV47: $i > $o] :
( ( ( ~ ( ~ ( SV47 @ SV201 )
| ( SV201
= ( sK58_SY661 @ SV151 @ SV47 ) ) ) )
= $false )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1387,plain,
! [SV47: $i > $o,SV151: $i,SV201: $i] :
( ( ( ~ ( ( SV201
!= ( sK58_SY661 @ SV151 @ SV47 ) )
| ( SV47 @ SV201 ) ) )
= $false )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1388,plain,
! [SV151: $i,SV199: $i,SV47: $i > $o] :
( ( ( ~ ( SV47 @ SV199 )
| ( SV199
= ( sK51_SY661 @ SV151 @ SV47 ) ) )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV151
= ( sK42_SY870 @ SV151 @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1337]) ).
thf(1389,plain,
! [SV47: $i > $o,SV151: $i,SV199: $i] :
( ( ( ( SV199
!= ( sK51_SY661 @ SV151 @ SV47 ) )
| ( SV47 @ SV199 ) )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV151
= ( sK42_SY870 @ SV151 @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1338]) ).
thf(1390,plain,
! [SV114: $i,SV152: $i > $o,SV51: $i,SV164: $i > $o] :
( ( ( ~ ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
| ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) ) )
= $false )
| ( ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) )
= $true )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1339]) ).
thf(1391,plain,
! [SV114: $i,SV152: $i > $o,SV51: $i,SV164: $i > $o] :
( ( ( ~ ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) ) )
= $false )
| ( ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
= $false )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1392,plain,
! [SV51: $i,SV114: $i,SV164: $i > $o,SV152: $i > $o] :
( ( ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) )
= $false )
| ( ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
= $false )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1393,plain,
! [SV55: $i,SV187: $i,SV202: $i] :
( ( ( in @ SV202 @ SV187 )
= $false )
| ( ( in @ SV202 @ SV55 )
= $true )
| ( ( in @ SV187 @ ( sK2_SY683 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1341]) ).
thf(1394,plain,
! [SV197: $i,SV55: $i,SV188: $i] :
( ( ( ~ ( in @ SV188 @ SV55 ) )
= $true )
| ( ( ~ ( in @ SV197 @ SV55 ) )
= $true )
| ( ( ~ ! [SY926: $i] :
( ~ ( in @ SY926 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SV188 @ SY926 )
| ( in @ SV197 @ SY926 ) )
| ~ ( ~ ( in @ SV197 @ SY926 )
| ( in @ SV188 @ SY926 ) ) ) )
| ( SV188 = SV197 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1342]) ).
thf(1395,plain,
! [SV55: $i,SV182: $i,SV175: $i] :
( ( ( ! [SY907: $i] :
( ~ ( in @ SY907 @ SV175 )
| ( in @ SY907 @ SV182 ) ) )
= $true )
| ( ( ! [SY908: $i] :
( ~ ( in @ SY908 @ SV182 )
| ( in @ SY908 @ SV175 ) ) )
= $true )
| ( ( in @ SV175 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ SV182 @ ( sK2_SY683 @ SV55 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1343]) ).
thf(1396,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ( in @ SV211 @ SV169 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1397,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( in @ SV205 @ SV169 )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1398,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ ( sK63_SY718 @ SV153 @ SV65 ) )
| ~ ! [SY932: $i] :
( ~ ( SV65 @ SY932 )
| ( ( sK63_SY718 @ SV153 @ SV65 )
= SY932 ) ) )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1346]) ).
thf(1399,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ ( sK61_SY718 @ SV153 @ SV65 ) ) )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1400,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ! [SY929: $i] :
( ~ ( SV65 @ SY929 )
| ( ( sK61_SY718 @ SV153 @ SV65 )
= SY929 ) ) )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1401,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ ( sK62_SY718 @ SV153 @ SV65 ) ) )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1348]) ).
thf(1402,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ! [SY930: $i] :
( ~ ( SV65 @ SY930 )
| ( ( sK62_SY718 @ SV153 @ SV65 )
= SY930 ) ) )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1348]) ).
thf(1403,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( SV65 @ ( sK59_SY718 @ SV153 @ SV65 ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1349]) ).
thf(1404,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ! [SY927: $i] :
( ~ ( SV65 @ SY927 )
| ( ( sK59_SY718 @ SV153 @ SV65 )
= SY927 ) ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1350]) ).
thf(1405,plain,
! [SV123: $i,SV67: $i > $i > $o,SV176: $i] :
( ( ( ~ ( ~ ( in @ ( sK66_SY904 @ SV176 @ SV67 @ SV123 ) @ SV123 )
| ~ ( SV67 @ ( sK66_SY904 @ SV176 @ SV67 @ SV123 ) @ SV176 ) ) )
= $true )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $false )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1351]) ).
thf(1406,plain,
! [SV176: $i,SV67: $i > $i > $o,SV123: $i,SV206: $i] :
( ( ( ~ ( ~ ( in @ SV206 @ SV123 )
| ~ ( SV67 @ SV206 @ SV176 ) ) )
= $false )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $true )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1407,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i] :
( ( ( ! [SY938: $i] :
~ ( ~ ( ~ ( in @ SY938 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
| ~ ! [SY827: $i] :
~ ~ ( ~ ( in @ SY827 @ SV123 )
| ~ ( SV67 @ SY827 @ SY938 ) ) )
| ~ ( ~ ~ ! [SY828: $i] :
~ ~ ( ~ ( in @ SY828 @ SV123 )
| ~ ( SV67 @ SY828 @ SY938 ) )
| ( in @ SY938 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) ) ) ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1353]) ).
thf(1408,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i,SV212: $i] :
( ( ( ~ ( ~ ( ~ ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
| ~ ! [SY942: $i] :
~ ~ ( ~ ( in @ SY942 @ SV123 )
| ~ ( SV67 @ SY942 @ SV212 ) ) )
| ~ ( ~ ~ ! [SY943: $i] :
~ ~ ( ~ ( in @ SY943 @ SV123 )
| ~ ( SV67 @ SY943 @ SV212 ) )
| ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) ) ) ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1354]) ).
thf(1409,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( SV71 @ ( sK60_SY735 @ SV155 @ SV71 ) )
= $true )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV71 @ ( sK44_SY879 @ SV155 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1355]) ).
thf(1410,plain,
! [SV155: $i,SV71: $i > $o] :
( ( ( ! [SY928: $i] :
( ~ ( SV71 @ SY928 )
| ( ( sK60_SY735 @ SV155 @ SV71 )
= SY928 ) ) )
= $true )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV71 @ ( sK44_SY879 @ SV155 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1356]) ).
thf(1411,plain,
! [SV155: $i,SV213: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ SV213 )
| ( ( sK54_SY735 @ SV155 @ SV71 )
= SV213 ) )
= $true )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV155
= ( sK44_SY879 @ SV155 @ SV71 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1358]) ).
thf(1412,plain,
! [SV156: $i,SV191: $i,SV198: $i,SV75: $i > $o] :
( ( ( SV75 @ SV198 )
= $false )
| ( ( SV191 = SV198 )
= $true )
| ( ( SV75 @ SV191 )
= $false )
| ( ( SV75 @ SV156 )
= $false )
| ( ( SV75 @ ( sK45_SY880 @ SV156 @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1359]) ).
thf(1413,plain,
! [SV146: $i,SV22: $i,SV194: $i] :
( ( ( in @ SV194 @ SV22 )
= $false )
| ( ( in @ SV194 @ ( sK23_SY588 @ SV146 @ SV22 ) )
= $false )
| ( ( in @ SV146 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1362]) ).
thf(1414,plain,
! [SV147: $i,SV214: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ SV214 )
| ( ( sK56_SY606 @ SV147 @ SV31 )
= SV214 ) )
= $true )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV31 @ ( sK40_SY865 @ SV147 @ SV31 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(1415,plain,
! [SV147: $i,SV207: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ SV207 ) )
= $true )
| ( ( ( sK48_SY606 @ SV147 @ SV31 )
= SV207 )
= $true )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV147
= ( sK40_SY865 @ SV147 @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1365]) ).
thf(1416,plain,
! [SV181: $i,SV102: $i > $o,SV36: $i > $o] :
( ( ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1366]) ).
thf(1417,plain,
! [SV181: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV181
= ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $false )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1367]) ).
thf(1418,plain,
! [SV102: $i > $o,SV208: $i,SV36: $i > $o] :
( ( ( ~ ( ~ ( SV36 @ SV208 )
| ~ ! [SY941: $i] :
( ~ ( SV36 @ SY941 )
| ( SV208 = SY941 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1368]) ).
thf(1419,plain,
! [SV102: $i > $o,SV203: $i,SV36: $i > $o] :
( ( ( ~ ( SV36 @ SV203 )
| ~ ! [SY936: $i] :
( ~ ( SV36 @ SY936 )
| ( SV203 = SY936 ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1369]) ).
thf(1420,plain,
! [SV102: $i > $o,SV204: $i,SV36: $i > $o] :
( ( ( ~ ( SV36 @ SV204 )
| ~ ! [SY937: $i] :
( ~ ( SV36 @ SY937 )
| ( SV204 = SY937 ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1370]) ).
thf(1421,plain,
! [SV102: $i > $o,SV200: $i,SV36: $i > $o] :
( ( ( ~ ( SV36 @ SV200 ) )
= $true )
| ( ( ~ ! [SY931: $i] :
( ~ ( SV36 @ SY931 )
| ( SV200 = SY931 ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1371]) ).
thf(1422,plain,
! [SV104: $i > $o,SV195: $i,SV38: $i > $o] :
( ( ( ! [SY922: $i] :
( ~ ( SV38 @ SY922 )
| ( SV195 = SY922 ) ) )
= $false )
| ( ( SV38 @ SV195 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1372]) ).
thf(1423,plain,
! [SV38: $i > $o,SV196: $i,SV104: $i > $o] :
( ( ( ! [SY923: $i] :
( ~ ( SV104 @ SY923 )
| ( SV196 = SY923 ) ) )
= $false )
| ( ( SV104 @ SV196 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1424,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) ) )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1374]) ).
thf(1425,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) ) )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1375]) ).
thf(1426,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1376]) ).
thf(1427,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1377]) ).
thf(1428,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1378]) ).
thf(1429,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1379]) ).
thf(1430,plain,
! [SV104: $i > $o,SV215: $i,SV38: $i > $o] :
( ( ( ~ ~ ( ~ ( SV38 @ SV215 )
| ~ ! [SY944: $i] :
( ~ ( SV38 @ SY944 )
| ( SV215 = SY944 ) ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1380]) ).
thf(1431,plain,
! [SV38: $i > $o,SV216: $i,SV104: $i > $o] :
( ( ( ~ ~ ( ~ ( SV104 @ SV216 )
| ~ ! [SY945: $i] :
( ~ ( SV104 @ SY945 )
| ( SV216 = SY945 ) ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1381]) ).
thf(1432,plain,
! [SV150: $i,SV209: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ SV209 ) )
= $true )
| ( ( ( sK49_SY650 @ SV150 @ SV43 )
= SV209 )
= $true )
| ( ( SV43 @ ( sK31_SY648 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1382]) ).
thf(1433,plain,
! [SV150: $i,SV217: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ SV217 )
| ( ( sK57_SY650 @ SV150 @ SV43 )
= SV217 ) )
= $true )
| ( ( SV43 @ ( sK36_SY896 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1384]) ).
thf(1434,plain,
! [SV150: $i,SV210: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ SV210 ) )
= $true )
| ( ( ( sK50_SY650 @ SV150 @ SV43 )
= SV210 )
= $true )
| ( ( ( sK31_SY648 @ SV150 @ SV43 )
= ( sK36_SY896 @ SV150 @ SV43 ) )
= $false )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1385]) ).
thf(1435,plain,
! [SV151: $i,SV201: $i,SV47: $i > $o] :
( ( ( ~ ( SV47 @ SV201 )
| ( SV201
= ( sK58_SY661 @ SV151 @ SV47 ) ) )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1386]) ).
thf(1436,plain,
! [SV47: $i > $o,SV151: $i,SV201: $i] :
( ( ( ( SV201
!= ( sK58_SY661 @ SV151 @ SV47 ) )
| ( SV47 @ SV201 ) )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1387]) ).
thf(1437,plain,
! [SV151: $i,SV199: $i,SV47: $i > $o] :
( ( ( ~ ( SV47 @ SV199 ) )
= $true )
| ( ( SV199
= ( sK51_SY661 @ SV151 @ SV47 ) )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV151
= ( sK42_SY870 @ SV151 @ SV47 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1388]) ).
thf(1438,plain,
! [SV47: $i > $o,SV151: $i,SV199: $i] :
( ( ( SV199
!= ( sK51_SY661 @ SV151 @ SV47 ) )
= $true )
| ( ( SV47 @ SV199 )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV151
= ( sK42_SY870 @ SV151 @ SV47 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1389]) ).
thf(1439,plain,
! [SV114: $i,SV152: $i > $o,SV51: $i,SV164: $i > $o] :
( ( ( ~ ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) ) )
= $false )
| ( ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) )
= $true )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1390]) ).
thf(1440,plain,
! [SV51: $i,SV114: $i,SV164: $i > $o,SV152: $i > $o] :
( ( ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) )
= $false )
| ( ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) )
= $true )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1390]) ).
thf(1441,plain,
! [SV114: $i,SV152: $i > $o,SV51: $i,SV164: $i > $o] :
( ( ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
= $true )
| ( ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
= $false )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1391]) ).
thf(1442,plain,
! [SV197: $i,SV55: $i,SV188: $i] :
( ( ( in @ SV188 @ SV55 )
= $false )
| ( ( ~ ( in @ SV197 @ SV55 ) )
= $true )
| ( ( ~ ! [SY926: $i] :
( ~ ( in @ SY926 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SV188 @ SY926 )
| ( in @ SV197 @ SY926 ) )
| ~ ( ~ ( in @ SV197 @ SY926 )
| ( in @ SV188 @ SY926 ) ) ) )
| ( SV188 = SV197 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1394]) ).
thf(1443,plain,
! [SV55: $i,SV182: $i,SV175: $i,SV218: $i] :
( ( ( ~ ( in @ SV218 @ SV175 )
| ( in @ SV218 @ SV182 ) )
= $true )
| ( ( ! [SY908: $i] :
( ~ ( in @ SY908 @ SV182 )
| ( in @ SY908 @ SV175 ) ) )
= $true )
| ( ( in @ SV175 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ SV182 @ ( sK2_SY683 @ SV55 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1395]) ).
thf(1444,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( in @ SV211 @ SV169 )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( ~ ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1396]) ).
thf(1445,plain,
! [SV205: $i,SV169: $i,SV55: $i] :
( ( ( ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1397]) ).
thf(1446,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ ( sK63_SY718 @ SV153 @ SV65 ) ) )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1398]) ).
thf(1447,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ~ ! [SY932: $i] :
( ~ ( SV65 @ SY932 )
| ( ( sK63_SY718 @ SV153 @ SV65 )
= SY932 ) ) )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1398]) ).
thf(1448,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( SV65 @ ( sK61_SY718 @ SV153 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1399]) ).
thf(1449,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ! [SY929: $i] :
( ~ ( SV65 @ SY929 )
| ( ( sK61_SY718 @ SV153 @ SV65 )
= SY929 ) ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1400]) ).
thf(1450,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( SV65 @ ( sK62_SY718 @ SV153 @ SV65 ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1401]) ).
thf(1451,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ! [SY930: $i] :
( ~ ( SV65 @ SY930 )
| ( ( sK62_SY718 @ SV153 @ SV65 )
= SY930 ) ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1402]) ).
thf(1452,plain,
! [SV153: $i,SV219: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ SV219 )
| ( ( sK59_SY718 @ SV153 @ SV65 )
= SV219 ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1404]) ).
thf(1453,plain,
! [SV123: $i,SV67: $i > $i > $o,SV176: $i] :
( ( ( ~ ( in @ ( sK66_SY904 @ SV176 @ SV67 @ SV123 ) @ SV123 )
| ~ ( SV67 @ ( sK66_SY904 @ SV176 @ SV67 @ SV123 ) @ SV176 ) )
= $false )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $false )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1454,plain,
! [SV176: $i,SV67: $i > $i > $o,SV123: $i,SV206: $i] :
( ( ( ~ ( in @ SV206 @ SV123 )
| ~ ( SV67 @ SV206 @ SV176 ) )
= $true )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $true )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1406]) ).
thf(1455,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i,SV220: $i] :
( ( ( ~ ( ~ ( ~ ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
| ~ ! [SY946: $i] :
~ ~ ( ~ ( in @ SY946 @ SV123 )
| ~ ( SV67 @ SY946 @ SV220 ) ) )
| ~ ( ~ ~ ! [SY947: $i] :
~ ~ ( ~ ( in @ SY947 @ SV123 )
| ~ ( SV67 @ SY947 @ SV220 ) )
| ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) ) ) ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1407]) ).
thf(1456,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i,SV212: $i] :
( ( ( ~ ( ~ ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
| ~ ! [SY942: $i] :
~ ~ ( ~ ( in @ SY942 @ SV123 )
| ~ ( SV67 @ SY942 @ SV212 ) ) )
| ~ ( ~ ~ ! [SY943: $i] :
~ ~ ( ~ ( in @ SY943 @ SV123 )
| ~ ( SV67 @ SY943 @ SV212 ) )
| ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) ) ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1408]) ).
thf(1457,plain,
! [SV155: $i,SV221: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ SV221 )
| ( ( sK60_SY735 @ SV155 @ SV71 )
= SV221 ) )
= $true )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV71 @ ( sK44_SY879 @ SV155 @ SV71 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1410]) ).
thf(1458,plain,
! [SV155: $i,SV213: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ SV213 ) )
= $true )
| ( ( ( sK54_SY735 @ SV155 @ SV71 )
= SV213 )
= $true )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV155
= ( sK44_SY879 @ SV155 @ SV71 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1411]) ).
thf(1459,plain,
! [SV147: $i,SV214: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ SV214 ) )
= $true )
| ( ( ( sK56_SY606 @ SV147 @ SV31 )
= SV214 )
= $true )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV31 @ ( sK40_SY865 @ SV147 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1414]) ).
thf(1460,plain,
! [SV147: $i,SV207: $i,SV31: $i > $o] :
( ( ( SV31 @ SV207 )
= $false )
| ( ( ( sK48_SY606 @ SV147 @ SV31 )
= SV207 )
= $true )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV147
= ( sK40_SY865 @ SV147 @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1461,plain,
! [SV181: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1416]) ).
thf(1462,plain,
! [SV181: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV181
= ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $false )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1417]) ).
thf(1463,plain,
! [SV102: $i > $o,SV208: $i,SV36: $i > $o] :
( ( ( ~ ( SV36 @ SV208 )
| ~ ! [SY941: $i] :
( ~ ( SV36 @ SY941 )
| ( SV208 = SY941 ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1418]) ).
thf(1464,plain,
! [SV102: $i > $o,SV203: $i,SV36: $i > $o] :
( ( ( ~ ( SV36 @ SV203 ) )
= $true )
| ( ( ~ ! [SY936: $i] :
( ~ ( SV36 @ SY936 )
| ( SV203 = SY936 ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1419]) ).
thf(1465,plain,
! [SV102: $i > $o,SV204: $i,SV36: $i > $o] :
( ( ( ~ ( SV36 @ SV204 ) )
= $true )
| ( ( ~ ! [SY937: $i] :
( ~ ( SV36 @ SY937 )
| ( SV204 = SY937 ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1420]) ).
thf(1466,plain,
! [SV102: $i > $o,SV200: $i,SV36: $i > $o] :
( ( ( SV36 @ SV200 )
= $false )
| ( ( ~ ! [SY931: $i] :
( ~ ( SV36 @ SY931 )
| ( SV200 = SY931 ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1421]) ).
thf(1467,plain,
! [SV195: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
| ( SV195
= ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) ) )
= $false )
| ( ( SV38 @ SV195 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1422]) ).
thf(1468,plain,
! [SV196: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
| ( SV196
= ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) ) )
= $false )
| ( ( SV104 @ SV196 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1423]) ).
thf(1469,plain,
! [SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY632: $i] :
~ ~ ( ~ ( SV38 @ SY632 )
| ~ ! [SY633: $i] :
( ~ ( SV38 @ SY633 )
| ( SY632 = SY633 ) ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1424]) ).
thf(1470,plain,
! [SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY790: $i] :
~ ~ ( ~ ( SV104 @ SY790 )
| ~ ! [SY791: $i] :
( ~ ( SV104 @ SY791 )
| ( SY790 = SY791 ) ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1425]) ).
thf(1471,plain,
! [SV104: $i > $o,SV222: $i,SV38: $i > $o] :
( ( ( ~ ~ ( ~ ( SV38 @ SV222 )
| ~ ! [SY948: $i] :
( ~ ( SV38 @ SY948 )
| ( SV222 = SY948 ) ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1426]) ).
thf(1472,plain,
! [SV38: $i > $o,SV223: $i,SV104: $i > $o] :
( ( ( ~ ~ ( ~ ( SV104 @ SV223 )
| ~ ! [SY949: $i] :
( ~ ( SV104 @ SY949 )
| ( SV223 = SY949 ) ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1427]) ).
thf(1473,plain,
! [SV104: $i > $o,SV224: $i,SV38: $i > $o] :
( ( ( ~ ~ ( ~ ( SV38 @ SV224 )
| ~ ! [SY950: $i] :
( ~ ( SV38 @ SY950 )
| ( SV224 = SY950 ) ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1428]) ).
thf(1474,plain,
! [SV38: $i > $o,SV225: $i,SV104: $i > $o] :
( ( ( ~ ~ ( ~ ( SV104 @ SV225 )
| ~ ! [SY951: $i] :
( ~ ( SV104 @ SY951 )
| ( SV225 = SY951 ) ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1429]) ).
thf(1475,plain,
! [SV104: $i > $o,SV215: $i,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ SV215 )
| ~ ! [SY944: $i] :
( ~ ( SV38 @ SY944 )
| ( SV215 = SY944 ) ) ) )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1476,plain,
! [SV38: $i > $o,SV216: $i,SV104: $i > $o] :
( ( ( ~ ( ~ ( SV104 @ SV216 )
| ~ ! [SY945: $i] :
( ~ ( SV104 @ SY945 )
| ( SV216 = SY945 ) ) ) )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1477,plain,
! [SV150: $i,SV209: $i,SV43: $i > $o] :
( ( ( SV43 @ SV209 )
= $false )
| ( ( ( sK49_SY650 @ SV150 @ SV43 )
= SV209 )
= $true )
| ( ( SV43 @ ( sK31_SY648 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1478,plain,
! [SV150: $i,SV217: $i,SV43: $i > $o] :
( ( ( ~ ( SV43 @ SV217 ) )
= $true )
| ( ( ( sK57_SY650 @ SV150 @ SV43 )
= SV217 )
= $true )
| ( ( SV43 @ ( sK36_SY896 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1433]) ).
thf(1479,plain,
! [SV150: $i,SV210: $i,SV43: $i > $o] :
( ( ( SV43 @ SV210 )
= $false )
| ( ( ( sK50_SY650 @ SV150 @ SV43 )
= SV210 )
= $true )
| ( ( ( sK31_SY648 @ SV150 @ SV43 )
= ( sK36_SY896 @ SV150 @ SV43 ) )
= $false )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1434]) ).
thf(1480,plain,
! [SV151: $i,SV201: $i,SV47: $i > $o] :
( ( ( ~ ( SV47 @ SV201 ) )
= $true )
| ( ( SV201
= ( sK58_SY661 @ SV151 @ SV47 ) )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1435]) ).
thf(1481,plain,
! [SV47: $i > $o,SV151: $i,SV201: $i] :
( ( ( SV201
!= ( sK58_SY661 @ SV151 @ SV47 ) )
= $true )
| ( ( SV47 @ SV201 )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1436]) ).
thf(1482,plain,
! [SV151: $i,SV199: $i,SV47: $i > $o] :
( ( ( SV47 @ SV199 )
= $false )
| ( ( SV199
= ( sK51_SY661 @ SV151 @ SV47 ) )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV151
= ( sK42_SY870 @ SV151 @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1437]) ).
thf(1483,plain,
! [SV47: $i > $o,SV151: $i,SV199: $i] :
( ( ( SV199
= ( sK51_SY661 @ SV151 @ SV47 ) )
= $false )
| ( ( SV47 @ SV199 )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV151
= ( sK42_SY870 @ SV151 @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1438]) ).
thf(1484,plain,
! [SV114: $i,SV152: $i > $o,SV51: $i,SV164: $i > $o] :
( ( ( SV164 @ ( sK43_SY897 @ SV51 @ SV152 @ SV164 @ SV114 ) )
= $true )
| ( ( SV152 @ ( sK32_SY883 @ SV164 @ SV152 @ SV114 @ SV51 ) )
= $true )
| ( ( ( dsetconstr @ SV51
@ ^ [SY874: $i] : ( SV152 @ SY874 ) )
= ( dsetconstr @ SV114
@ ^ [SY886: $i] : ( SV164 @ SY886 ) ) )
= $true )
| ( ( SV51 = SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1439]) ).
thf(1485,plain,
! [SV188: $i,SV55: $i,SV197: $i] :
( ( ( in @ SV197 @ SV55 )
= $false )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( ~ ! [SY926: $i] :
( ~ ( in @ SY926 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SV188 @ SY926 )
| ( in @ SV197 @ SY926 ) )
| ~ ( ~ ( in @ SV197 @ SY926 )
| ( in @ SV188 @ SY926 ) ) ) )
| ( SV188 = SV197 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1486,plain,
! [SV55: $i,SV182: $i,SV175: $i,SV218: $i] :
( ( ( ~ ( in @ SV218 @ SV175 ) )
= $true )
| ( ( in @ SV218 @ SV182 )
= $true )
| ( ( ! [SY908: $i] :
( ~ ( in @ SY908 @ SV182 )
| ( in @ SY908 @ SV175 ) ) )
= $true )
| ( ( in @ SV175 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ SV182 @ ( sK2_SY683 @ SV55 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1443]) ).
thf(1487,plain,
! [SV211: $i,SV169: $i,SV55: $i] :
( ( ( ! [SY890: $i] :
~ ~ ! [SY891: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY890 @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY891 @ SV169 ) )
| ~ ~ ~ ! [SY892: $i] :
~ ~ ( ~ ( in @ SY892 @ SY890 )
| ~ ( in @ SY892 @ SV169 ) ) )
| ~ ! [SY856: $i] :
( ~ ( in @ SY856 @ ( sK2_SY683 @ SV55 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY856 )
| ( in @ SX6 @ SY890 ) )
| ( in @ SY891 @ SY856 ) ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1444]) ).
thf(1488,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ~ ! [SY952: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY952 @ SV169 ) )
| ~ ~ ~ ! [SY953: $i] :
~ ~ ( ~ ( in @ SY953 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SY953 @ SV169 ) ) )
| ~ ! [SY954: $i] :
( ~ ( in @ SY954 @ ( sK2_SY683 @ SV55 ) )
| ! [SY955: $i] :
( ~ ( in @ SY955 @ SY954 )
| ( in @ SY955 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) ) )
| ( in @ SY952 @ SY954 ) ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1445]) ).
thf(1489,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( SV65 @ ( sK63_SY718 @ SV153 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1446]) ).
thf(1490,plain,
! [SV153: $i,SV65: $i > $o] :
( ( ( ! [SY932: $i] :
( ~ ( SV65 @ SY932 )
| ( ( sK63_SY718 @ SV153 @ SV65 )
= SY932 ) ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1447]) ).
thf(1491,plain,
! [SV153: $i,SV226: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ SV226 )
| ( ( sK61_SY718 @ SV153 @ SV65 )
= SV226 ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1449]) ).
thf(1492,plain,
! [SV153: $i,SV227: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ SV227 )
| ( ( sK62_SY718 @ SV153 @ SV65 )
= SV227 ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1451]) ).
thf(1493,plain,
! [SV153: $i,SV219: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ SV219 ) )
= $true )
| ( ( ( sK59_SY718 @ SV153 @ SV65 )
= SV219 )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1452]) ).
thf(1494,plain,
! [SV123: $i,SV67: $i > $i > $o,SV176: $i] :
( ( ( ~ ( in @ ( sK66_SY904 @ SV176 @ SV67 @ SV123 ) @ SV123 ) )
= $false )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $false )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1453]) ).
thf(1495,plain,
! [SV123: $i,SV176: $i,SV67: $i > $i > $o] :
( ( ( ~ ( SV67 @ ( sK66_SY904 @ SV176 @ SV67 @ SV123 ) @ SV176 ) )
= $false )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $false )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1453]) ).
thf(1496,plain,
! [SV176: $i,SV67: $i > $i > $o,SV123: $i,SV206: $i] :
( ( ( ~ ( in @ SV206 @ SV123 ) )
= $true )
| ( ( ~ ( SV67 @ SV206 @ SV176 ) )
= $true )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $true )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1454]) ).
thf(1497,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i,SV220: $i] :
( ( ( ~ ( ~ ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
| ~ ! [SY946: $i] :
~ ~ ( ~ ( in @ SY946 @ SV123 )
| ~ ( SV67 @ SY946 @ SV220 ) ) )
| ~ ( ~ ~ ! [SY947: $i] :
~ ~ ( ~ ( in @ SY947 @ SV123 )
| ~ ( SV67 @ SY947 @ SV220 ) )
| ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) ) ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1455]) ).
thf(1498,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i,SV212: $i] :
( ( ( ~ ( ~ ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
| ~ ! [SY942: $i] :
~ ~ ( ~ ( in @ SY942 @ SV123 )
| ~ ( SV67 @ SY942 @ SV212 ) ) ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1456]) ).
thf(1499,plain,
! [SV170: $i,SV212: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ~ ( ~ ~ ! [SY943: $i] :
~ ~ ( ~ ( in @ SY943 @ SV123 )
| ~ ( SV67 @ SY943 @ SV212 ) )
| ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) ) ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1456]) ).
thf(1500,plain,
! [SV155: $i,SV221: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ SV221 ) )
= $true )
| ( ( ( sK60_SY735 @ SV155 @ SV71 )
= SV221 )
= $true )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV71 @ ( sK44_SY879 @ SV155 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1457]) ).
thf(1501,plain,
! [SV155: $i,SV213: $i,SV71: $i > $o] :
( ( ( SV71 @ SV213 )
= $false )
| ( ( ( sK54_SY735 @ SV155 @ SV71 )
= SV213 )
= $true )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV155
= ( sK44_SY879 @ SV155 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1502,plain,
! [SV147: $i,SV214: $i,SV31: $i > $o] :
( ( ( SV31 @ SV214 )
= $false )
| ( ( ( sK56_SY606 @ SV147 @ SV31 )
= SV214 )
= $true )
| ( ( SV31 @ SV147 )
= $false )
| ( ( SV31 @ ( sK40_SY865 @ SV147 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1503,plain,
! [SV181: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1461]) ).
thf(1504,plain,
! [SV181: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV181
= ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $false )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1462]) ).
thf(1505,plain,
! [SV102: $i > $o,SV208: $i,SV36: $i > $o] :
( ( ( ~ ( SV36 @ SV208 ) )
= $true )
| ( ( ~ ! [SY941: $i] :
( ~ ( SV36 @ SY941 )
| ( SV208 = SY941 ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1463]) ).
thf(1506,plain,
! [SV102: $i > $o,SV203: $i,SV36: $i > $o] :
( ( ( SV36 @ SV203 )
= $false )
| ( ( ~ ! [SY936: $i] :
( ~ ( SV36 @ SY936 )
| ( SV203 = SY936 ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1464]) ).
thf(1507,plain,
! [SV102: $i > $o,SV204: $i,SV36: $i > $o] :
( ( ( SV36 @ SV204 )
= $false )
| ( ( ~ ! [SY937: $i] :
( ~ ( SV36 @ SY937 )
| ( SV204 = SY937 ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1508,plain,
! [SV102: $i > $o,SV200: $i,SV36: $i > $o] :
( ( ( ! [SY931: $i] :
( ~ ( SV36 @ SY931 )
| ( SV200 = SY931 ) ) )
= $false )
| ( ( SV36 @ SV200 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1466]) ).
thf(1509,plain,
! [SV195: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) ) )
= $false )
| ( ( SV38 @ SV195 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1467]) ).
thf(1510,plain,
! [SV38: $i > $o,SV104: $i > $o,SV195: $i] :
( ( ( SV195
= ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $false )
| ( ( SV38 @ SV195 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1467]) ).
thf(1511,plain,
! [SV196: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) ) )
= $false )
| ( ( SV104 @ SV196 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1468]) ).
thf(1512,plain,
! [SV104: $i > $o,SV38: $i > $o,SV196: $i] :
( ( ( SV196
= ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $false )
| ( ( SV104 @ SV196 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1468]) ).
thf(1513,plain,
! [SV104: $i > $o,SV228: $i,SV38: $i > $o] :
( ( ( ~ ~ ( ~ ( SV38 @ SV228 )
| ~ ! [SY956: $i] :
( ~ ( SV38 @ SY956 )
| ( SV228 = SY956 ) ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1469]) ).
thf(1514,plain,
! [SV38: $i > $o,SV229: $i,SV104: $i > $o] :
( ( ( ~ ~ ( ~ ( SV104 @ SV229 )
| ~ ! [SY957: $i] :
( ~ ( SV104 @ SY957 )
| ( SV229 = SY957 ) ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1470]) ).
thf(1515,plain,
! [SV104: $i > $o,SV222: $i,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ SV222 )
| ~ ! [SY948: $i] :
( ~ ( SV38 @ SY948 )
| ( SV222 = SY948 ) ) ) )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1471]) ).
thf(1516,plain,
! [SV38: $i > $o,SV223: $i,SV104: $i > $o] :
( ( ( ~ ( ~ ( SV104 @ SV223 )
| ~ ! [SY949: $i] :
( ~ ( SV104 @ SY949 )
| ( SV223 = SY949 ) ) ) )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1472]) ).
thf(1517,plain,
! [SV104: $i > $o,SV224: $i,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ SV224 )
| ~ ! [SY950: $i] :
( ~ ( SV38 @ SY950 )
| ( SV224 = SY950 ) ) ) )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1473]) ).
thf(1518,plain,
! [SV38: $i > $o,SV225: $i,SV104: $i > $o] :
( ( ( ~ ( ~ ( SV104 @ SV225 )
| ~ ! [SY951: $i] :
( ~ ( SV104 @ SY951 )
| ( SV225 = SY951 ) ) ) )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1474]) ).
thf(1519,plain,
! [SV104: $i > $o,SV215: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV215 )
| ~ ! [SY944: $i] :
( ~ ( SV38 @ SY944 )
| ( SV215 = SY944 ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1475]) ).
thf(1520,plain,
! [SV38: $i > $o,SV216: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV216 )
| ~ ! [SY945: $i] :
( ~ ( SV104 @ SY945 )
| ( SV216 = SY945 ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1476]) ).
thf(1521,plain,
! [SV150: $i,SV217: $i,SV43: $i > $o] :
( ( ( SV43 @ SV217 )
= $false )
| ( ( ( sK57_SY650 @ SV150 @ SV43 )
= SV217 )
= $true )
| ( ( SV43 @ ( sK36_SY896 @ SV150 @ SV43 ) )
= $true )
| ( ( SV43 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1478]) ).
thf(1522,plain,
! [SV151: $i,SV201: $i,SV47: $i > $o] :
( ( ( SV47 @ SV201 )
= $false )
| ( ( SV201
= ( sK58_SY661 @ SV151 @ SV47 ) )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1523,plain,
! [SV47: $i > $o,SV151: $i,SV201: $i] :
( ( ( SV201
= ( sK58_SY661 @ SV151 @ SV47 ) )
= $false )
| ( ( SV47 @ SV201 )
= $true )
| ( ( SV47 @ SV151 )
= $false )
| ( ( SV47 @ ( sK42_SY870 @ SV151 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1481]) ).
thf(1524,plain,
! [SV197: $i,SV188: $i,SV55: $i] :
( ( ( ~ ! [SY926: $i] :
( ~ ( in @ SY926 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SV188 @ SY926 )
| ( in @ SV197 @ SY926 ) )
| ~ ( ~ ( in @ SV197 @ SY926 )
| ( in @ SV188 @ SY926 ) ) ) ) )
= $true )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1485]) ).
thf(1525,plain,
! [SV55: $i,SV182: $i,SV175: $i,SV218: $i] :
( ( ( in @ SV218 @ SV175 )
= $false )
| ( ( in @ SV218 @ SV182 )
= $true )
| ( ( ! [SY908: $i] :
( ~ ( in @ SY908 @ SV182 )
| ( in @ SY908 @ SV175 ) ) )
= $true )
| ( ( in @ SV175 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ SV182 @ ( sK2_SY683 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1486]) ).
thf(1526,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ~ ! [SY958: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY958 @ SV169 ) )
| ~ ~ ~ ! [SY959: $i] :
~ ~ ( ~ ( in @ SY959 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SY959 @ SV169 ) ) )
| ~ ! [SY960: $i] :
( ~ ( in @ SY960 @ ( sK2_SY683 @ SV55 ) )
| ! [SY961: $i] :
( ~ ( in @ SY961 @ SY960 )
| ( in @ SY961 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) ) )
| ( in @ SY958 @ SY960 ) ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1487]) ).
thf(1527,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ! [SY952: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY952 @ SV169 ) )
| ~ ~ ~ ! [SY953: $i] :
~ ~ ( ~ ( in @ SY953 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SY953 @ SV169 ) ) )
| ~ ! [SY954: $i] :
( ~ ( in @ SY954 @ ( sK2_SY683 @ SV55 ) )
| ! [SY955: $i] :
( ~ ( in @ SY955 @ SY954 )
| ( in @ SY955 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) ) )
| ( in @ SY952 @ SY954 ) ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1488]) ).
thf(1528,plain,
! [SV153: $i,SV230: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ SV230 )
| ( ( sK63_SY718 @ SV153 @ SV65 )
= SV230 ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1490]) ).
thf(1529,plain,
! [SV153: $i,SV226: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ SV226 ) )
= $true )
| ( ( ( sK61_SY718 @ SV153 @ SV65 )
= SV226 )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1491]) ).
thf(1530,plain,
! [SV153: $i,SV227: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ SV227 ) )
= $true )
| ( ( ( sK62_SY718 @ SV153 @ SV65 )
= SV227 )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1492]) ).
thf(1531,plain,
! [SV153: $i,SV219: $i,SV65: $i > $o] :
( ( ( SV65 @ SV219 )
= $false )
| ( ( ( sK59_SY718 @ SV153 @ SV65 )
= SV219 )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1532,plain,
! [SV123: $i,SV67: $i > $i > $o,SV176: $i] :
( ( ( in @ ( sK66_SY904 @ SV176 @ SV67 @ SV123 ) @ SV123 )
= $true )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $false )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1494]) ).
thf(1533,plain,
! [SV123: $i,SV176: $i,SV67: $i > $i > $o] :
( ( ( SV67 @ ( sK66_SY904 @ SV176 @ SV67 @ SV123 ) @ SV176 )
= $true )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $false )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1495]) ).
thf(1534,plain,
! [SV176: $i,SV67: $i > $i > $o,SV123: $i,SV206: $i] :
( ( ( in @ SV206 @ SV123 )
= $false )
| ( ( ~ ( SV67 @ SV206 @ SV176 ) )
= $true )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $true )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1535,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i,SV220: $i] :
( ( ( ~ ( ~ ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
| ~ ! [SY946: $i] :
~ ~ ( ~ ( in @ SY946 @ SV123 )
| ~ ( SV67 @ SY946 @ SV220 ) ) ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1497]) ).
thf(1536,plain,
! [SV170: $i,SV220: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ~ ( ~ ~ ! [SY947: $i] :
~ ~ ( ~ ( in @ SY947 @ SV123 )
| ~ ( SV67 @ SY947 @ SV220 ) )
| ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) ) ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1497]) ).
thf(1537,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i,SV212: $i] :
( ( ( ~ ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
| ~ ! [SY942: $i] :
~ ~ ( ~ ( in @ SY942 @ SV123 )
| ~ ( SV67 @ SY942 @ SV212 ) ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1498]) ).
thf(1538,plain,
! [SV170: $i,SV212: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ~ ~ ! [SY943: $i] :
~ ~ ( ~ ( in @ SY943 @ SV123 )
| ~ ( SV67 @ SY943 @ SV212 ) )
| ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1499]) ).
thf(1539,plain,
! [SV155: $i,SV221: $i,SV71: $i > $o] :
( ( ( SV71 @ SV221 )
= $false )
| ( ( ( sK60_SY735 @ SV155 @ SV71 )
= SV221 )
= $true )
| ( ( SV71 @ SV155 )
= $false )
| ( ( SV71 @ ( sK44_SY879 @ SV155 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1500]) ).
thf(1540,plain,
! [SV181: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1503]) ).
thf(1541,plain,
! [SV181: $i,SV36: $i > $o,SV231: $i,SV102: $i > $o] :
( ( ( ~ ~ ( ~ ( SV102 @ SV231 )
| ~ ! [SY962: $i] :
( ~ ( SV102 @ SY962 )
| ( SV231 = SY962 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV181
= ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $false )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1504]) ).
thf(1542,plain,
! [SV102: $i > $o,SV208: $i,SV36: $i > $o] :
( ( ( SV36 @ SV208 )
= $false )
| ( ( ~ ! [SY941: $i] :
( ~ ( SV36 @ SY941 )
| ( SV208 = SY941 ) ) )
= $true )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1505]) ).
thf(1543,plain,
! [SV102: $i > $o,SV203: $i,SV36: $i > $o] :
( ( ( ! [SY936: $i] :
( ~ ( SV36 @ SY936 )
| ( SV203 = SY936 ) ) )
= $false )
| ( ( SV36 @ SV203 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1506]) ).
thf(1544,plain,
! [SV102: $i > $o,SV204: $i,SV36: $i > $o] :
( ( ( ! [SY937: $i] :
( ~ ( SV36 @ SY937 )
| ( SV204 = SY937 ) ) )
= $false )
| ( ( SV36 @ SV204 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1507]) ).
thf(1545,plain,
! [SV200: $i,SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
| ( SV200
= ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) ) )
= $false )
| ( ( SV36 @ SV200 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1508]) ).
thf(1546,plain,
! [SV195: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( SV38 @ ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $true )
| ( ( SV38 @ SV195 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1509]) ).
thf(1547,plain,
! [SV195: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $false )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV195
= ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1510]) ).
thf(1548,plain,
! [SV196: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( SV104 @ ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $true )
| ( ( SV104 @ SV196 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1511]) ).
thf(1549,plain,
! [SV196: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $false )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV196
= ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1512]) ).
thf(1550,plain,
! [SV104: $i > $o,SV228: $i,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ SV228 )
| ~ ! [SY956: $i] :
( ~ ( SV38 @ SY956 )
| ( SV228 = SY956 ) ) ) )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1513]) ).
thf(1551,plain,
! [SV38: $i > $o,SV229: $i,SV104: $i > $o] :
( ( ( ~ ( ~ ( SV104 @ SV229 )
| ~ ! [SY957: $i] :
( ~ ( SV104 @ SY957 )
| ( SV229 = SY957 ) ) ) )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1514]) ).
thf(1552,plain,
! [SV104: $i > $o,SV222: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV222 )
| ~ ! [SY948: $i] :
( ~ ( SV38 @ SY948 )
| ( SV222 = SY948 ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1515]) ).
thf(1553,plain,
! [SV38: $i > $o,SV223: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV223 )
| ~ ! [SY949: $i] :
( ~ ( SV104 @ SY949 )
| ( SV223 = SY949 ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1516]) ).
thf(1554,plain,
! [SV104: $i > $o,SV224: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV224 )
| ~ ! [SY950: $i] :
( ~ ( SV38 @ SY950 )
| ( SV224 = SY950 ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1517]) ).
thf(1555,plain,
! [SV38: $i > $o,SV225: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV225 )
| ~ ! [SY951: $i] :
( ~ ( SV104 @ SY951 )
| ( SV225 = SY951 ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1518]) ).
thf(1556,plain,
! [SV104: $i > $o,SV215: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV215 ) )
= $true )
| ( ( ~ ! [SY944: $i] :
( ~ ( SV38 @ SY944 )
| ( SV215 = SY944 ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1519]) ).
thf(1557,plain,
! [SV38: $i > $o,SV216: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV216 ) )
= $true )
| ( ( ~ ! [SY945: $i] :
( ~ ( SV104 @ SY945 )
| ( SV216 = SY945 ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1520]) ).
thf(1558,plain,
! [SV197: $i,SV188: $i,SV55: $i] :
( ( ( ! [SY926: $i] :
( ~ ( in @ SY926 @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SV188 @ SY926 )
| ( in @ SV197 @ SY926 ) )
| ~ ( ~ ( in @ SV197 @ SY926 )
| ( in @ SV188 @ SY926 ) ) ) ) )
= $false )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1524]) ).
thf(1559,plain,
! [SV55: $i,SV218: $i,SV175: $i,SV182: $i,SV232: $i] :
( ( ( ~ ( in @ SV232 @ SV182 )
| ( in @ SV232 @ SV175 ) )
= $true )
| ( ( in @ SV218 @ SV182 )
= $true )
| ( ( in @ SV218 @ SV175 )
= $false )
| ( ( in @ SV175 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ SV182 @ ( sK2_SY683 @ SV55 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1525]) ).
thf(1560,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ! [SY958: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY958 @ SV169 ) )
| ~ ~ ~ ! [SY959: $i] :
~ ~ ( ~ ( in @ SY959 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SY959 @ SV169 ) ) )
| ~ ! [SY960: $i] :
( ~ ( in @ SY960 @ ( sK2_SY683 @ SV55 ) )
| ! [SY961: $i] :
( ~ ( in @ SY961 @ SY960 )
| ( in @ SY961 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) ) )
| ( in @ SY958 @ SY960 ) ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1526]) ).
thf(1561,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ! [SY952: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY952 @ SV169 ) )
| ~ ~ ~ ! [SY953: $i] :
~ ~ ( ~ ( in @ SY953 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SY953 @ SV169 ) ) )
| ~ ! [SY954: $i] :
( ~ ( in @ SY954 @ ( sK2_SY683 @ SV55 ) )
| ! [SY955: $i] :
( ~ ( in @ SY955 @ SY954 )
| ( in @ SY955 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) ) )
| ( in @ SY952 @ SY954 ) ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1527]) ).
thf(1562,plain,
! [SV153: $i,SV230: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ SV230 ) )
= $true )
| ( ( ( sK63_SY718 @ SV153 @ SV65 )
= SV230 )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1528]) ).
thf(1563,plain,
! [SV153: $i,SV226: $i,SV65: $i > $o] :
( ( ( SV65 @ SV226 )
= $false )
| ( ( ( sK61_SY718 @ SV153 @ SV65 )
= SV226 )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1529]) ).
thf(1564,plain,
! [SV153: $i,SV227: $i,SV65: $i > $o] :
( ( ( SV65 @ SV227 )
= $false )
| ( ( ( sK62_SY718 @ SV153 @ SV65 )
= SV227 )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $false )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1530]) ).
thf(1565,plain,
! [SV123: $i,SV176: $i,SV206: $i,SV67: $i > $i > $o] :
( ( ( SV67 @ SV206 @ SV176 )
= $false )
| ( ( in @ SV206 @ SV123 )
= $false )
| ( ( in @ SV176 @ ( sK33_SY825 @ SV67 @ SV123 ) )
= $true )
| ( ( in @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1534]) ).
thf(1566,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i,SV220: $i] :
( ( ( ~ ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
| ~ ! [SY946: $i] :
~ ~ ( ~ ( in @ SY946 @ SV123 )
| ~ ( SV67 @ SY946 @ SV220 ) ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1535]) ).
thf(1567,plain,
! [SV170: $i,SV220: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ~ ~ ! [SY947: $i] :
~ ~ ( ~ ( in @ SY947 @ SV123 )
| ~ ( SV67 @ SY947 @ SV220 ) )
| ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1536]) ).
thf(1568,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i,SV212: $i] :
( ( ( ~ ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) ) )
= $true )
| ( ( ~ ! [SY942: $i] :
~ ~ ( ~ ( in @ SY942 @ SV123 )
| ~ ( SV67 @ SY942 @ SV212 ) ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1537]) ).
thf(1569,plain,
! [SV170: $i,SV212: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ~ ~ ! [SY943: $i] :
~ ~ ( ~ ( in @ SY943 @ SV123 )
| ~ ( SV67 @ SY943 @ SV212 ) ) )
= $true )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1538]) ).
thf(1570,plain,
! [SV181: $i,SV36: $i > $o,SV233: $i,SV102: $i > $o] :
( ( ( ~ ~ ( ~ ( SV102 @ SV233 )
| ~ ! [SY963: $i] :
( ~ ( SV102 @ SY963 )
| ( SV233 = SY963 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1540]) ).
thf(1571,plain,
! [SV181: $i,SV36: $i > $o,SV231: $i,SV102: $i > $o] :
( ( ( ~ ( ~ ( SV102 @ SV231 )
| ~ ! [SY962: $i] :
( ~ ( SV102 @ SY962 )
| ( SV231 = SY962 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV181
= ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $false )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1541]) ).
thf(1572,plain,
! [SV102: $i > $o,SV208: $i,SV36: $i > $o] :
( ( ( ! [SY941: $i] :
( ~ ( SV36 @ SY941 )
| ( SV208 = SY941 ) ) )
= $false )
| ( ( SV36 @ SV208 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1542]) ).
thf(1573,plain,
! [SV203: $i,SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
| ( SV203
= ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) ) )
= $false )
| ( ( SV36 @ SV203 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1543]) ).
thf(1574,plain,
! [SV204: $i,SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
| ( SV204
= ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) ) )
= $false )
| ( ( SV36 @ SV204 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1544]) ).
thf(1575,plain,
! [SV200: $i,SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) ) )
= $false )
| ( ( SV36 @ SV200 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1576,plain,
! [SV36: $i > $o,SV102: $i > $o,SV200: $i] :
( ( ( SV200
= ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $false )
| ( ( SV36 @ SV200 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1577,plain,
! [SV195: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $false )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV38 @ ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1578,plain,
! [SV38: $i > $o,SV195: $i,SV104: $i > $o] :
( ( ( ~ ~ ( ~ ( SV104 @ ( sK75_SY788 @ SV195 @ SV38 @ SV104 ) )
| ~ ! [SY964: $i] :
( ~ ( SV104 @ SY964 )
| ( ( sK75_SY788 @ SV195 @ SV38 @ SV104 )
= SY964 ) ) ) )
= $false )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV195
= ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1547]) ).
thf(1579,plain,
! [SV196: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $false )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV104 @ ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1580,plain,
! [SV104: $i > $o,SV196: $i,SV38: $i > $o] :
( ( ( ~ ~ ( ~ ( SV38 @ ( sK76_SY638 @ SV196 @ SV104 @ SV38 ) )
| ~ ! [SY965: $i] :
( ~ ( SV38 @ SY965 )
| ( ( sK76_SY638 @ SV196 @ SV104 @ SV38 )
= SY965 ) ) ) )
= $false )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV196
= ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1549]) ).
thf(1581,plain,
! [SV104: $i > $o,SV228: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV228 )
| ~ ! [SY956: $i] :
( ~ ( SV38 @ SY956 )
| ( SV228 = SY956 ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1550]) ).
thf(1582,plain,
! [SV38: $i > $o,SV229: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV229 )
| ~ ! [SY957: $i] :
( ~ ( SV104 @ SY957 )
| ( SV229 = SY957 ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1551]) ).
thf(1583,plain,
! [SV104: $i > $o,SV222: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV222 ) )
= $true )
| ( ( ~ ! [SY948: $i] :
( ~ ( SV38 @ SY948 )
| ( SV222 = SY948 ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1552]) ).
thf(1584,plain,
! [SV38: $i > $o,SV223: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV223 ) )
= $true )
| ( ( ~ ! [SY949: $i] :
( ~ ( SV104 @ SY949 )
| ( SV223 = SY949 ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1553]) ).
thf(1585,plain,
! [SV104: $i > $o,SV224: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV224 ) )
= $true )
| ( ( ~ ! [SY950: $i] :
( ~ ( SV38 @ SY950 )
| ( SV224 = SY950 ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1554]) ).
thf(1586,plain,
! [SV38: $i > $o,SV225: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV225 ) )
= $true )
| ( ( ~ ! [SY951: $i] :
( ~ ( SV104 @ SY951 )
| ( SV225 = SY951 ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1555]) ).
thf(1587,plain,
! [SV104: $i > $o,SV215: $i,SV38: $i > $o] :
( ( ( SV38 @ SV215 )
= $false )
| ( ( ~ ! [SY944: $i] :
( ~ ( SV38 @ SY944 )
| ( SV215 = SY944 ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1588,plain,
! [SV38: $i > $o,SV216: $i,SV104: $i > $o] :
( ( ( SV104 @ SV216 )
= $false )
| ( ( ~ ! [SY945: $i] :
( ~ ( SV104 @ SY945 )
| ( SV216 = SY945 ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1557]) ).
thf(1589,plain,
! [SV55: $i,SV188: $i,SV197: $i] :
( ( ( ~ ( in @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( ~ ( ~ ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
| ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) )
| ~ ( ~ ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
| ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) ) ) )
= $false )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1558]) ).
thf(1590,plain,
! [SV55: $i,SV218: $i,SV175: $i,SV182: $i,SV232: $i] :
( ( ( ~ ( in @ SV232 @ SV182 ) )
= $true )
| ( ( in @ SV232 @ SV175 )
= $true )
| ( ( in @ SV218 @ SV182 )
= $true )
| ( ( in @ SV218 @ SV175 )
= $false )
| ( ( in @ SV175 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ SV182 @ ( sK2_SY683 @ SV55 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1559]) ).
thf(1591,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ! [SY958: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ SY958 @ SV169 ) )
| ~ ~ ~ ! [SY959: $i] :
~ ~ ( ~ ( in @ SY959 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SY959 @ SV169 ) ) )
| ~ ! [SY960: $i] :
( ~ ( in @ SY960 @ ( sK2_SY683 @ SV55 ) )
| ! [SY961: $i] :
( ~ ( in @ SY961 @ SY960 )
| ( in @ SY961 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) ) )
| ( in @ SY958 @ SY960 ) ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1560]) ).
thf(1592,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV169 ) )
| ~ ~ ~ ! [SY953: $i] :
~ ~ ( ~ ( in @ SY953 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SY953 @ SV169 ) ) )
| ~ ! [SY967: $i] :
( ~ ( in @ SY967 @ ( sK2_SY683 @ SV55 ) )
| ! [SY955: $i] :
( ~ ( in @ SY955 @ SY967 )
| ( in @ SY955 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) ) )
| ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SY967 ) ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1561]) ).
thf(1593,plain,
! [SV153: $i,SV230: $i,SV65: $i > $o] :
( ( ( SV65 @ SV230 )
= $false )
| ( ( ( sK63_SY718 @ SV153 @ SV65 )
= SV230 )
= $true )
| ( ( SV65 @ ( sK22_SY876 @ SV153 @ SV65 ) )
= $true )
| ( ( ( sK22_SY876 @ SV153 @ SV65 )
= SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1594,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i,SV220: $i] :
( ( ( ~ ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) ) )
= $true )
| ( ( ~ ! [SY946: $i] :
~ ~ ( ~ ( in @ SY946 @ SV123 )
| ~ ( SV67 @ SY946 @ SV220 ) ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1566]) ).
thf(1595,plain,
! [SV170: $i,SV220: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ~ ~ ! [SY947: $i] :
~ ~ ( ~ ( in @ SY947 @ SV123 )
| ~ ( SV67 @ SY947 @ SV220 ) ) )
= $true )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1567]) ).
thf(1596,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i,SV212: $i] :
( ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( ~ ! [SY942: $i] :
~ ~ ( ~ ( in @ SY942 @ SV123 )
| ~ ( SV67 @ SY942 @ SV212 ) ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1597,plain,
! [SV170: $i,SV212: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ~ ! [SY943: $i] :
~ ~ ( ~ ( in @ SY943 @ SV123 )
| ~ ( SV67 @ SY943 @ SV212 ) ) )
= $false )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1569]) ).
thf(1598,plain,
! [SV181: $i,SV36: $i > $o,SV233: $i,SV102: $i > $o] :
( ( ( ~ ( ~ ( SV102 @ SV233 )
| ~ ! [SY963: $i] :
( ~ ( SV102 @ SY963 )
| ( SV233 = SY963 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1599,plain,
! [SV181: $i,SV36: $i > $o,SV231: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV231 )
| ~ ! [SY962: $i] :
( ~ ( SV102 @ SY962 )
| ( SV231 = SY962 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV181
= ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $false )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1571]) ).
thf(1600,plain,
! [SV208: $i,SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
| ( SV208
= ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) ) )
= $false )
| ( ( SV36 @ SV208 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1572]) ).
thf(1601,plain,
! [SV203: $i,SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) ) )
= $false )
| ( ( SV36 @ SV203 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1573]) ).
thf(1602,plain,
! [SV36: $i > $o,SV102: $i > $o,SV203: $i] :
( ( ( SV203
= ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $false )
| ( ( SV36 @ SV203 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1573]) ).
thf(1603,plain,
! [SV204: $i,SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) ) )
= $false )
| ( ( SV36 @ SV204 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1574]) ).
thf(1604,plain,
! [SV36: $i > $o,SV102: $i > $o,SV204: $i] :
( ( ( SV204
= ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $false )
| ( ( SV36 @ SV204 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1574]) ).
thf(1605,plain,
! [SV200: $i,SV102: $i > $o,SV36: $i > $o] :
( ( ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1575]) ).
thf(1606,plain,
! [SV200: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV200
= ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1576]) ).
thf(1607,plain,
! [SV38: $i > $o,SV195: $i,SV104: $i > $o] :
( ( ( ~ ~ ( ~ ( SV104 @ ( sK80_SY788 @ SV195 @ SV38 @ SV104 ) )
| ~ ! [SY969: $i] :
( ~ ( SV104 @ SY969 )
| ( ( sK80_SY788 @ SV195 @ SV38 @ SV104 )
= SY969 ) ) ) )
= $false )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV38 @ ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1577]) ).
thf(1608,plain,
! [SV38: $i > $o,SV195: $i,SV104: $i > $o] :
( ( ( ~ ( ~ ( SV104 @ ( sK75_SY788 @ SV195 @ SV38 @ SV104 ) )
| ~ ! [SY964: $i] :
( ~ ( SV104 @ SY964 )
| ( ( sK75_SY788 @ SV195 @ SV38 @ SV104 )
= SY964 ) ) ) )
= $true )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV195
= ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1578]) ).
thf(1609,plain,
! [SV104: $i > $o,SV196: $i,SV38: $i > $o] :
( ( ( ~ ~ ( ~ ( SV38 @ ( sK81_SY638 @ SV196 @ SV104 @ SV38 ) )
| ~ ! [SY970: $i] :
( ~ ( SV38 @ SY970 )
| ( ( sK81_SY638 @ SV196 @ SV104 @ SV38 )
= SY970 ) ) ) )
= $false )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV104 @ ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1579]) ).
thf(1610,plain,
! [SV104: $i > $o,SV196: $i,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK76_SY638 @ SV196 @ SV104 @ SV38 ) )
| ~ ! [SY965: $i] :
( ~ ( SV38 @ SY965 )
| ( ( sK76_SY638 @ SV196 @ SV104 @ SV38 )
= SY965 ) ) ) )
= $true )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV196
= ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1580]) ).
thf(1611,plain,
! [SV104: $i > $o,SV228: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV228 ) )
= $true )
| ( ( ~ ! [SY956: $i] :
( ~ ( SV38 @ SY956 )
| ( SV228 = SY956 ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1581]) ).
thf(1612,plain,
! [SV38: $i > $o,SV229: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV229 ) )
= $true )
| ( ( ~ ! [SY957: $i] :
( ~ ( SV104 @ SY957 )
| ( SV229 = SY957 ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1582]) ).
thf(1613,plain,
! [SV104: $i > $o,SV222: $i,SV38: $i > $o] :
( ( ( SV38 @ SV222 )
= $false )
| ( ( ~ ! [SY948: $i] :
( ~ ( SV38 @ SY948 )
| ( SV222 = SY948 ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1583]) ).
thf(1614,plain,
! [SV38: $i > $o,SV223: $i,SV104: $i > $o] :
( ( ( SV104 @ SV223 )
= $false )
| ( ( ~ ! [SY949: $i] :
( ~ ( SV104 @ SY949 )
| ( SV223 = SY949 ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1584]) ).
thf(1615,plain,
! [SV104: $i > $o,SV224: $i,SV38: $i > $o] :
( ( ( SV38 @ SV224 )
= $false )
| ( ( ~ ! [SY950: $i] :
( ~ ( SV38 @ SY950 )
| ( SV224 = SY950 ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1585]) ).
thf(1616,plain,
! [SV38: $i > $o,SV225: $i,SV104: $i > $o] :
( ( ( SV104 @ SV225 )
= $false )
| ( ( ~ ! [SY951: $i] :
( ~ ( SV104 @ SY951 )
| ( SV225 = SY951 ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1586]) ).
thf(1617,plain,
! [SV104: $i > $o,SV215: $i,SV38: $i > $o] :
( ( ( ! [SY944: $i] :
( ~ ( SV38 @ SY944 )
| ( SV215 = SY944 ) ) )
= $false )
| ( ( SV38 @ SV215 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1587]) ).
thf(1618,plain,
! [SV38: $i > $o,SV216: $i,SV104: $i > $o] :
( ( ( ! [SY945: $i] :
( ~ ( SV104 @ SY945 )
| ( SV216 = SY945 ) ) )
= $false )
| ( ( SV104 @ SV216 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1588]) ).
thf(1619,plain,
! [SV55: $i,SV188: $i,SV197: $i] :
( ( ( ~ ( in @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) @ ( sK2_SY683 @ SV55 ) ) )
= $false )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1589]) ).
thf(1620,plain,
! [SV55: $i,SV197: $i,SV188: $i] :
( ( ( ~ ( ~ ( ~ ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
| ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) )
| ~ ( ~ ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
| ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) ) ) )
= $false )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1589]) ).
thf(1621,plain,
! [SV55: $i,SV218: $i,SV175: $i,SV182: $i,SV232: $i] :
( ( ( in @ SV232 @ SV182 )
= $false )
| ( ( in @ SV232 @ SV175 )
= $true )
| ( ( in @ SV218 @ SV182 )
= $true )
| ( ( in @ SV218 @ SV175 )
= $false )
| ( ( in @ SV175 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ SV182 @ ( sK2_SY683 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1590]) ).
thf(1622,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV169 ) )
| ~ ~ ~ ! [SY959: $i] :
~ ~ ( ~ ( in @ SY959 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SY959 @ SV169 ) ) )
| ~ ! [SY972: $i] :
( ~ ( in @ SY972 @ ( sK2_SY683 @ SV55 ) )
| ! [SY961: $i] :
( ~ ( in @ SY961 @ SY972 )
| ( in @ SY961 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) ) )
| ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SY972 ) ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1591]) ).
thf(1623,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV169 ) )
| ~ ~ ~ ! [SY953: $i] :
~ ~ ( ~ ( in @ SY953 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SY953 @ SV169 ) ) )
| ~ ! [SY967: $i] :
( ~ ( in @ SY967 @ ( sK2_SY683 @ SV55 ) )
| ! [SY955: $i] :
( ~ ( in @ SY955 @ SY967 )
| ( in @ SY955 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) ) )
| ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SY967 ) ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1592]) ).
thf(1624,plain,
! [SV123: $i,SV67: $i > $i > $o,SV170: $i,SV220: $i] :
( ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( ~ ! [SY946: $i] :
~ ~ ( ~ ( in @ SY946 @ SV123 )
| ~ ( SV67 @ SY946 @ SV220 ) ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1594]) ).
thf(1625,plain,
! [SV170: $i,SV220: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ~ ! [SY947: $i] :
~ ~ ( ~ ( in @ SY947 @ SV123 )
| ~ ( SV67 @ SY947 @ SV220 ) ) )
= $false )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1595]) ).
thf(1626,plain,
! [SV170: $i,SV212: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ! [SY942: $i] :
~ ~ ( ~ ( in @ SY942 @ SV123 )
| ~ ( SV67 @ SY942 @ SV212 ) ) )
= $false )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1596]) ).
thf(1627,plain,
! [SV170: $i,SV212: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ! [SY943: $i] :
~ ~ ( ~ ( in @ SY943 @ SV123 )
| ~ ( SV67 @ SY943 @ SV212 ) ) )
= $true )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1597]) ).
thf(1628,plain,
! [SV181: $i,SV36: $i > $o,SV233: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV233 )
| ~ ! [SY963: $i] :
( ~ ( SV102 @ SY963 )
| ( SV233 = SY963 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1598]) ).
thf(1629,plain,
! [SV181: $i,SV36: $i > $o,SV231: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV231 ) )
= $true )
| ( ( ~ ! [SY962: $i] :
( ~ ( SV102 @ SY962 )
| ( SV231 = SY962 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV181
= ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $false )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1599]) ).
thf(1630,plain,
! [SV208: $i,SV102: $i > $o,SV36: $i > $o] :
( ( ( ~ ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) ) )
= $false )
| ( ( SV36 @ SV208 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1600]) ).
thf(1631,plain,
! [SV36: $i > $o,SV102: $i > $o,SV208: $i] :
( ( ( SV208
= ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $false )
| ( ( SV36 @ SV208 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1600]) ).
thf(1632,plain,
! [SV203: $i,SV102: $i > $o,SV36: $i > $o] :
( ( ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1601]) ).
thf(1633,plain,
! [SV203: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV203
= ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1602]) ).
thf(1634,plain,
! [SV204: $i,SV102: $i > $o,SV36: $i > $o] :
( ( ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1603]) ).
thf(1635,plain,
! [SV204: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV204
= ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1604]) ).
thf(1636,plain,
! [SV200: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1605]) ).
thf(1637,plain,
! [SV200: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV200
= ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1606]) ).
thf(1638,plain,
! [SV38: $i > $o,SV195: $i,SV104: $i > $o] :
( ( ( ~ ( ~ ( SV104 @ ( sK80_SY788 @ SV195 @ SV38 @ SV104 ) )
| ~ ! [SY969: $i] :
( ~ ( SV104 @ SY969 )
| ( ( sK80_SY788 @ SV195 @ SV38 @ SV104 )
= SY969 ) ) ) )
= $true )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV38 @ ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1607]) ).
thf(1639,plain,
! [SV38: $i > $o,SV195: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK75_SY788 @ SV195 @ SV38 @ SV104 ) )
| ~ ! [SY964: $i] :
( ~ ( SV104 @ SY964 )
| ( ( sK75_SY788 @ SV195 @ SV38 @ SV104 )
= SY964 ) ) )
= $false )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV195
= ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1640,plain,
! [SV104: $i > $o,SV196: $i,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK81_SY638 @ SV196 @ SV104 @ SV38 ) )
| ~ ! [SY970: $i] :
( ~ ( SV38 @ SY970 )
| ( ( sK81_SY638 @ SV196 @ SV104 @ SV38 )
= SY970 ) ) ) )
= $true )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV104 @ ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1609]) ).
thf(1641,plain,
! [SV104: $i > $o,SV196: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK76_SY638 @ SV196 @ SV104 @ SV38 ) )
| ~ ! [SY965: $i] :
( ~ ( SV38 @ SY965 )
| ( ( sK76_SY638 @ SV196 @ SV104 @ SV38 )
= SY965 ) ) )
= $false )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV196
= ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1610]) ).
thf(1642,plain,
! [SV104: $i > $o,SV228: $i,SV38: $i > $o] :
( ( ( SV38 @ SV228 )
= $false )
| ( ( ~ ! [SY956: $i] :
( ~ ( SV38 @ SY956 )
| ( SV228 = SY956 ) ) )
= $true )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1611]) ).
thf(1643,plain,
! [SV38: $i > $o,SV229: $i,SV104: $i > $o] :
( ( ( SV104 @ SV229 )
= $false )
| ( ( ~ ! [SY957: $i] :
( ~ ( SV104 @ SY957 )
| ( SV229 = SY957 ) ) )
= $true )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1612]) ).
thf(1644,plain,
! [SV104: $i > $o,SV222: $i,SV38: $i > $o] :
( ( ( ! [SY948: $i] :
( ~ ( SV38 @ SY948 )
| ( SV222 = SY948 ) ) )
= $false )
| ( ( SV38 @ SV222 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1613]) ).
thf(1645,plain,
! [SV38: $i > $o,SV223: $i,SV104: $i > $o] :
( ( ( ! [SY949: $i] :
( ~ ( SV104 @ SY949 )
| ( SV223 = SY949 ) ) )
= $false )
| ( ( SV104 @ SV223 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1614]) ).
thf(1646,plain,
! [SV104: $i > $o,SV224: $i,SV38: $i > $o] :
( ( ( ! [SY950: $i] :
( ~ ( SV38 @ SY950 )
| ( SV224 = SY950 ) ) )
= $false )
| ( ( SV38 @ SV224 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1615]) ).
thf(1647,plain,
! [SV38: $i > $o,SV225: $i,SV104: $i > $o] :
( ( ( ! [SY951: $i] :
( ~ ( SV104 @ SY951 )
| ( SV225 = SY951 ) ) )
= $false )
| ( ( SV104 @ SV225 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1616]) ).
thf(1648,plain,
! [SV215: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
| ( SV215
= ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) ) )
= $false )
| ( ( SV38 @ SV215 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1617]) ).
thf(1649,plain,
! [SV216: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
| ( SV216
= ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) ) )
= $false )
| ( ( SV104 @ SV216 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1618]) ).
thf(1650,plain,
! [SV55: $i,SV188: $i,SV197: $i] :
( ( ( in @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
= $true )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1619]) ).
thf(1651,plain,
! [SV55: $i,SV197: $i,SV188: $i] :
( ( ( ~ ( ~ ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
| ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) )
| ~ ( ~ ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
| ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) ) )
= $true )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1620]) ).
thf(1652,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV169 ) )
| ~ ~ ~ ! [SY959: $i] :
~ ~ ( ~ ( in @ SY959 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SY959 @ SV169 ) ) )
| ~ ! [SY972: $i] :
( ~ ( in @ SY972 @ ( sK2_SY683 @ SV55 ) )
| ! [SY961: $i] :
( ~ ( in @ SY961 @ SY972 )
| ( in @ SY961 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) ) )
| ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SY972 ) ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1622]) ).
thf(1653,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV169 ) )
| ~ ~ ~ ! [SY953: $i] :
~ ~ ( ~ ( in @ SY953 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SY953 @ SV169 ) ) )
| ~ ! [SY967: $i] :
( ~ ( in @ SY967 @ ( sK2_SY683 @ SV55 ) )
| ! [SY955: $i] :
( ~ ( in @ SY955 @ SY967 )
| ( in @ SY955 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) ) )
| ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SY967 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1623]) ).
thf(1654,plain,
! [SV170: $i,SV220: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ! [SY946: $i] :
~ ~ ( ~ ( in @ SY946 @ SV123 )
| ~ ( SV67 @ SY946 @ SV220 ) ) )
= $false )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1624]) ).
thf(1655,plain,
! [SV170: $i,SV220: $i,SV67: $i > $i > $o,SV123: $i] :
( ( ( ! [SY947: $i] :
~ ~ ( ~ ( in @ SY947 @ SV123 )
| ~ ( SV67 @ SY947 @ SV220 ) ) )
= $true )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1625]) ).
thf(1656,plain,
! [SV123: $i,SV67: $i > $i > $o,SV212: $i,SV170: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK85_SY942 @ SV170 @ SV212 @ SV67 @ SV123 ) @ SV123 )
| ~ ( SV67 @ ( sK85_SY942 @ SV170 @ SV212 @ SV67 @ SV123 ) @ SV212 ) ) )
= $false )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1626]) ).
thf(1657,plain,
! [SV170: $i,SV212: $i,SV67: $i > $i > $o,SV123: $i,SV234: $i] :
( ( ( ~ ~ ( ~ ( in @ SV234 @ SV123 )
| ~ ( SV67 @ SV234 @ SV212 ) ) )
= $true )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1627]) ).
thf(1658,plain,
! [SV181: $i,SV36: $i > $o,SV233: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV233 ) )
= $true )
| ( ( ~ ! [SY963: $i] :
( ~ ( SV102 @ SY963 )
| ( SV233 = SY963 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1628]) ).
thf(1659,plain,
! [SV181: $i,SV36: $i > $o,SV231: $i,SV102: $i > $o] :
( ( ( SV102 @ SV231 )
= $false )
| ( ( ~ ! [SY962: $i] :
( ~ ( SV102 @ SY962 )
| ( SV231 = SY962 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV181
= ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $false )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1629]) ).
thf(1660,plain,
! [SV208: $i,SV102: $i > $o,SV36: $i > $o] :
( ( ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) )
| ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1630]) ).
thf(1661,plain,
! [SV208: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV208
= ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1631]) ).
thf(1662,plain,
! [SV203: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1632]) ).
thf(1663,plain,
! [SV203: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV203
= ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1633]) ).
thf(1664,plain,
! [SV204: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1634]) ).
thf(1665,plain,
! [SV204: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV204
= ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1635]) ).
thf(1666,plain,
! [SV200: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1636]) ).
thf(1667,plain,
! [SV200: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV200
= ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1637]) ).
thf(1668,plain,
! [SV38: $i > $o,SV195: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK80_SY788 @ SV195 @ SV38 @ SV104 ) )
| ~ ! [SY969: $i] :
( ~ ( SV104 @ SY969 )
| ( ( sK80_SY788 @ SV195 @ SV38 @ SV104 )
= SY969 ) ) )
= $false )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV38 @ ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1638]) ).
thf(1669,plain,
! [SV38: $i > $o,SV195: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK75_SY788 @ SV195 @ SV38 @ SV104 ) ) )
= $false )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV195
= ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1639]) ).
thf(1670,plain,
! [SV38: $i > $o,SV195: $i,SV104: $i > $o] :
( ( ( ~ ! [SY964: $i] :
( ~ ( SV104 @ SY964 )
| ( ( sK75_SY788 @ SV195 @ SV38 @ SV104 )
= SY964 ) ) )
= $false )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV195
= ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1639]) ).
thf(1671,plain,
! [SV104: $i > $o,SV196: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK81_SY638 @ SV196 @ SV104 @ SV38 ) )
| ~ ! [SY970: $i] :
( ~ ( SV38 @ SY970 )
| ( ( sK81_SY638 @ SV196 @ SV104 @ SV38 )
= SY970 ) ) )
= $false )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV104 @ ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1640]) ).
thf(1672,plain,
! [SV104: $i > $o,SV196: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK76_SY638 @ SV196 @ SV104 @ SV38 ) ) )
= $false )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV196
= ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1641]) ).
thf(1673,plain,
! [SV104: $i > $o,SV196: $i,SV38: $i > $o] :
( ( ( ~ ! [SY965: $i] :
( ~ ( SV38 @ SY965 )
| ( ( sK76_SY638 @ SV196 @ SV104 @ SV38 )
= SY965 ) ) )
= $false )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV196
= ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1641]) ).
thf(1674,plain,
! [SV104: $i > $o,SV228: $i,SV38: $i > $o] :
( ( ( ! [SY956: $i] :
( ~ ( SV38 @ SY956 )
| ( SV228 = SY956 ) ) )
= $false )
| ( ( SV38 @ SV228 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1642]) ).
thf(1675,plain,
! [SV38: $i > $o,SV229: $i,SV104: $i > $o] :
( ( ( ! [SY957: $i] :
( ~ ( SV104 @ SY957 )
| ( SV229 = SY957 ) ) )
= $false )
| ( ( SV104 @ SV229 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1643]) ).
thf(1676,plain,
! [SV222: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
| ( SV222
= ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) ) )
= $false )
| ( ( SV38 @ SV222 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1644]) ).
thf(1677,plain,
! [SV223: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
| ( SV223
= ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) ) )
= $false )
| ( ( SV104 @ SV223 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1645]) ).
thf(1678,plain,
! [SV224: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
| ( SV224
= ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) ) )
= $false )
| ( ( SV38 @ SV224 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1646]) ).
thf(1679,plain,
! [SV225: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
| ( SV225
= ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) ) )
= $false )
| ( ( SV104 @ SV225 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1647]) ).
thf(1680,plain,
! [SV215: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) ) )
= $false )
| ( ( SV38 @ SV215 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1648]) ).
thf(1681,plain,
! [SV38: $i > $o,SV104: $i > $o,SV215: $i] :
( ( ( SV215
= ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $false )
| ( ( SV38 @ SV215 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1648]) ).
thf(1682,plain,
! [SV216: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) ) )
= $false )
| ( ( SV104 @ SV216 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1649]) ).
thf(1683,plain,
! [SV104: $i > $o,SV38: $i > $o,SV216: $i] :
( ( ( SV216
= ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $false )
| ( ( SV104 @ SV216 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1649]) ).
thf(1684,plain,
! [SV55: $i,SV197: $i,SV188: $i] :
( ( ( ~ ( ~ ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
| ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) ) )
= $true )
| ( ( ~ ( ~ ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
| ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) ) )
= $true )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1651]) ).
thf(1685,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV169 ) )
| ~ ~ ~ ! [SY959: $i] :
~ ~ ( ~ ( in @ SY959 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SY959 @ SV169 ) ) )
| ~ ! [SY972: $i] :
( ~ ( in @ SY972 @ ( sK2_SY683 @ SV55 ) )
| ! [SY961: $i] :
( ~ ( in @ SY961 @ SY972 )
| ( in @ SY961 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) ) )
| ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SY972 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1652]) ).
thf(1686,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV169 ) )
| ~ ~ ~ ! [SY953: $i] :
~ ~ ( ~ ( in @ SY953 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SY953 @ SV169 ) ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1653]) ).
thf(1687,plain,
! [SV169: $i,SV205: $i,SV55: $i] :
( ( ( ~ ! [SY967: $i] :
( ~ ( in @ SY967 @ ( sK2_SY683 @ SV55 ) )
| ! [SY955: $i] :
( ~ ( in @ SY955 @ SY967 )
| ( in @ SY955 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) ) )
| ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SY967 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1653]) ).
thf(1688,plain,
! [SV123: $i,SV67: $i > $i > $o,SV220: $i,SV170: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK90_SY946 @ SV170 @ SV220 @ SV67 @ SV123 ) @ SV123 )
| ~ ( SV67 @ ( sK90_SY946 @ SV170 @ SV220 @ SV67 @ SV123 ) @ SV220 ) ) )
= $false )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1654]) ).
thf(1689,plain,
! [SV170: $i,SV220: $i,SV67: $i > $i > $o,SV123: $i,SV235: $i] :
( ( ( ~ ~ ( ~ ( in @ SV235 @ SV123 )
| ~ ( SV67 @ SV235 @ SV220 ) ) )
= $true )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1655]) ).
thf(1690,plain,
! [SV123: $i,SV67: $i > $i > $o,SV212: $i,SV170: $i] :
( ( ( ~ ( ~ ( in @ ( sK85_SY942 @ SV170 @ SV212 @ SV67 @ SV123 ) @ SV123 )
| ~ ( SV67 @ ( sK85_SY942 @ SV170 @ SV212 @ SV67 @ SV123 ) @ SV212 ) ) )
= $true )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1656]) ).
thf(1691,plain,
! [SV170: $i,SV212: $i,SV67: $i > $i > $o,SV123: $i,SV234: $i] :
( ( ( ~ ( ~ ( in @ SV234 @ SV123 )
| ~ ( SV67 @ SV234 @ SV212 ) ) )
= $false )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1657]) ).
thf(1692,plain,
! [SV181: $i,SV36: $i > $o,SV233: $i,SV102: $i > $o] :
( ( ( SV102 @ SV233 )
= $false )
| ( ( ~ ! [SY963: $i] :
( ~ ( SV102 @ SY963 )
| ( SV233 = SY963 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1658]) ).
thf(1693,plain,
! [SV181: $i,SV36: $i > $o,SV231: $i,SV102: $i > $o] :
( ( ( ! [SY962: $i] :
( ~ ( SV102 @ SY962 )
| ( SV231 = SY962 ) ) )
= $false )
| ( ( SV102 @ SV231 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV181
= ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $false )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1659]) ).
thf(1694,plain,
! [SV208: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1660]) ).
thf(1695,plain,
! [SV208: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV208
= ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1661]) ).
thf(1696,plain,
! [SV203: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1662]) ).
thf(1697,plain,
! [SV203: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV203
= ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1663]) ).
thf(1698,plain,
! [SV204: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1664]) ).
thf(1699,plain,
! [SV204: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV204
= ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1665]) ).
thf(1700,plain,
! [SV200: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1666]) ).
thf(1701,plain,
! [SV200: $i,SV36: $i > $o,SV236: $i,SV102: $i > $o] :
( ( ( ~ ~ ( ~ ( SV102 @ SV236 )
| ~ ! [SY974: $i] :
( ~ ( SV102 @ SY974 )
| ( SV236 = SY974 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV200
= ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1667]) ).
thf(1702,plain,
! [SV38: $i > $o,SV195: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK80_SY788 @ SV195 @ SV38 @ SV104 ) ) )
= $false )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV38 @ ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1668]) ).
thf(1703,plain,
! [SV38: $i > $o,SV195: $i,SV104: $i > $o] :
( ( ( ~ ! [SY969: $i] :
( ~ ( SV104 @ SY969 )
| ( ( sK80_SY788 @ SV195 @ SV38 @ SV104 )
= SY969 ) ) )
= $false )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV38 @ ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1668]) ).
thf(1704,plain,
! [SV38: $i > $o,SV195: $i,SV104: $i > $o] :
( ( ( SV104 @ ( sK75_SY788 @ SV195 @ SV38 @ SV104 ) )
= $true )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV195
= ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1669]) ).
thf(1705,plain,
! [SV38: $i > $o,SV195: $i,SV104: $i > $o] :
( ( ( ! [SY964: $i] :
( ~ ( SV104 @ SY964 )
| ( ( sK75_SY788 @ SV195 @ SV38 @ SV104 )
= SY964 ) ) )
= $true )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV195
= ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1670]) ).
thf(1706,plain,
! [SV104: $i > $o,SV196: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK81_SY638 @ SV196 @ SV104 @ SV38 ) ) )
= $false )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV104 @ ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1671]) ).
thf(1707,plain,
! [SV104: $i > $o,SV196: $i,SV38: $i > $o] :
( ( ( ~ ! [SY970: $i] :
( ~ ( SV38 @ SY970 )
| ( ( sK81_SY638 @ SV196 @ SV104 @ SV38 )
= SY970 ) ) )
= $false )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV104 @ ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1671]) ).
thf(1708,plain,
! [SV104: $i > $o,SV196: $i,SV38: $i > $o] :
( ( ( SV38 @ ( sK76_SY638 @ SV196 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV196
= ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1672]) ).
thf(1709,plain,
! [SV104: $i > $o,SV196: $i,SV38: $i > $o] :
( ( ( ! [SY965: $i] :
( ~ ( SV38 @ SY965 )
| ( ( sK76_SY638 @ SV196 @ SV104 @ SV38 )
= SY965 ) ) )
= $true )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV196
= ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1673]) ).
thf(1710,plain,
! [SV228: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
| ( SV228
= ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) ) )
= $false )
| ( ( SV38 @ SV228 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1674]) ).
thf(1711,plain,
! [SV229: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
| ( SV229
= ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) ) )
= $false )
| ( ( SV104 @ SV229 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1675]) ).
thf(1712,plain,
! [SV222: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) ) )
= $false )
| ( ( SV38 @ SV222 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1676]) ).
thf(1713,plain,
! [SV38: $i > $o,SV104: $i > $o,SV222: $i] :
( ( ( SV222
= ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $false )
| ( ( SV38 @ SV222 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1676]) ).
thf(1714,plain,
! [SV223: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) ) )
= $false )
| ( ( SV104 @ SV223 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1677]) ).
thf(1715,plain,
! [SV104: $i > $o,SV38: $i > $o,SV223: $i] :
( ( ( SV223
= ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $false )
| ( ( SV104 @ SV223 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1677]) ).
thf(1716,plain,
! [SV224: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) ) )
= $false )
| ( ( SV38 @ SV224 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1678]) ).
thf(1717,plain,
! [SV38: $i > $o,SV104: $i > $o,SV224: $i] :
( ( ( SV224
= ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $false )
| ( ( SV38 @ SV224 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1678]) ).
thf(1718,plain,
! [SV225: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) ) )
= $false )
| ( ( SV104 @ SV225 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1679]) ).
thf(1719,plain,
! [SV104: $i > $o,SV38: $i > $o,SV225: $i] :
( ( ( SV225
= ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $false )
| ( ( SV104 @ SV225 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1679]) ).
thf(1720,plain,
! [SV215: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( SV38 @ ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $true )
| ( ( SV38 @ SV215 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1680]) ).
thf(1721,plain,
! [SV215: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $false )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV215
= ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1681]) ).
thf(1722,plain,
! [SV216: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( SV104 @ ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $true )
| ( ( SV104 @ SV216 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1682]) ).
thf(1723,plain,
! [SV216: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $false )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV216
= ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1683]) ).
thf(1724,plain,
! [SV55: $i,SV197: $i,SV188: $i] :
( ( ( ~ ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
| ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) )
= $false )
| ( ( ~ ( ~ ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
| ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) ) )
= $true )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1684]) ).
thf(1725,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV169 ) )
| ~ ~ ~ ! [SY959: $i] :
~ ~ ( ~ ( in @ SY959 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SY959 @ SV169 ) ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1685]) ).
thf(1726,plain,
! [SV169: $i,SV211: $i,SV55: $i] :
( ( ( ~ ! [SY972: $i] :
( ~ ( in @ SY972 @ ( sK2_SY683 @ SV55 ) )
| ! [SY961: $i] :
( ~ ( in @ SY961 @ SY972 )
| ( in @ SY961 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) ) )
| ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SY972 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1685]) ).
thf(1727,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV169 ) )
| ~ ~ ~ ! [SY953: $i] :
~ ~ ( ~ ( in @ SY953 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SY953 @ SV169 ) ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1686]) ).
thf(1728,plain,
! [SV169: $i,SV205: $i,SV55: $i] :
( ( ( ! [SY967: $i] :
( ~ ( in @ SY967 @ ( sK2_SY683 @ SV55 ) )
| ! [SY955: $i] :
( ~ ( in @ SY955 @ SY967 )
| ( in @ SY955 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) ) )
| ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SY967 ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1687]) ).
thf(1729,plain,
! [SV123: $i,SV67: $i > $i > $o,SV220: $i,SV170: $i] :
( ( ( ~ ( ~ ( in @ ( sK90_SY946 @ SV170 @ SV220 @ SV67 @ SV123 ) @ SV123 )
| ~ ( SV67 @ ( sK90_SY946 @ SV170 @ SV220 @ SV67 @ SV123 ) @ SV220 ) ) )
= $true )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1688]) ).
thf(1730,plain,
! [SV170: $i,SV220: $i,SV67: $i > $i > $o,SV123: $i,SV235: $i] :
( ( ( ~ ( ~ ( in @ SV235 @ SV123 )
| ~ ( SV67 @ SV235 @ SV220 ) ) )
= $false )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1689]) ).
thf(1731,plain,
! [SV123: $i,SV67: $i > $i > $o,SV212: $i,SV170: $i] :
( ( ( ~ ( in @ ( sK85_SY942 @ SV170 @ SV212 @ SV67 @ SV123 ) @ SV123 )
| ~ ( SV67 @ ( sK85_SY942 @ SV170 @ SV212 @ SV67 @ SV123 ) @ SV212 ) )
= $false )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1690]) ).
thf(1732,plain,
! [SV170: $i,SV212: $i,SV67: $i > $i > $o,SV123: $i,SV234: $i] :
( ( ( ~ ( in @ SV234 @ SV123 )
| ~ ( SV67 @ SV234 @ SV212 ) )
= $true )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1691]) ).
thf(1733,plain,
! [SV181: $i,SV36: $i > $o,SV233: $i,SV102: $i > $o] :
( ( ( ! [SY963: $i] :
( ~ ( SV102 @ SY963 )
| ( SV233 = SY963 ) ) )
= $false )
| ( ( SV102 @ SV233 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1692]) ).
thf(1734,plain,
! [SV231: $i,SV36: $i > $o,SV181: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK93_SY962 @ SV181 @ SV36 @ SV231 @ SV102 ) )
| ( SV231
= ( sK93_SY962 @ SV181 @ SV36 @ SV231 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV231 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV181
= ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $false )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1693]) ).
thf(1735,plain,
! [SV208: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ~ ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1694]) ).
thf(1736,plain,
! [SV208: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV208
= ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1695]) ).
thf(1737,plain,
! [SV203: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1696]) ).
thf(1738,plain,
! [SV203: $i,SV36: $i > $o,SV237: $i,SV102: $i > $o] :
( ( ( ~ ~ ( ~ ( SV102 @ SV237 )
| ~ ! [SY975: $i] :
( ~ ( SV102 @ SY975 )
| ( SV237 = SY975 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV203
= ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1697]) ).
thf(1739,plain,
! [SV204: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1698]) ).
thf(1740,plain,
! [SV204: $i,SV36: $i > $o,SV238: $i,SV102: $i > $o] :
( ( ( ~ ~ ( ~ ( SV102 @ SV238 )
| ~ ! [SY976: $i] :
( ~ ( SV102 @ SY976 )
| ( SV238 = SY976 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV204
= ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1699]) ).
thf(1741,plain,
! [SV200: $i,SV36: $i > $o,SV239: $i,SV102: $i > $o] :
( ( ( ~ ~ ( ~ ( SV102 @ SV239 )
| ~ ! [SY977: $i] :
( ~ ( SV102 @ SY977 )
| ( SV239 = SY977 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1700]) ).
thf(1742,plain,
! [SV200: $i,SV36: $i > $o,SV236: $i,SV102: $i > $o] :
( ( ( ~ ( ~ ( SV102 @ SV236 )
| ~ ! [SY974: $i] :
( ~ ( SV102 @ SY974 )
| ( SV236 = SY974 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV200
= ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1701]) ).
thf(1743,plain,
! [SV38: $i > $o,SV195: $i,SV104: $i > $o] :
( ( ( SV104 @ ( sK80_SY788 @ SV195 @ SV38 @ SV104 ) )
= $true )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV38 @ ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1702]) ).
thf(1744,plain,
! [SV38: $i > $o,SV195: $i,SV104: $i > $o] :
( ( ( ! [SY969: $i] :
( ~ ( SV104 @ SY969 )
| ( ( sK80_SY788 @ SV195 @ SV38 @ SV104 )
= SY969 ) ) )
= $true )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV38 @ ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1703]) ).
thf(1745,plain,
! [SV38: $i > $o,SV195: $i,SV240: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV240 )
| ( ( sK75_SY788 @ SV195 @ SV38 @ SV104 )
= SV240 ) )
= $true )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV195
= ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1705]) ).
thf(1746,plain,
! [SV104: $i > $o,SV196: $i,SV38: $i > $o] :
( ( ( SV38 @ ( sK81_SY638 @ SV196 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV104 @ ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1706]) ).
thf(1747,plain,
! [SV104: $i > $o,SV196: $i,SV38: $i > $o] :
( ( ( ! [SY970: $i] :
( ~ ( SV38 @ SY970 )
| ( ( sK81_SY638 @ SV196 @ SV104 @ SV38 )
= SY970 ) ) )
= $true )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV104 @ ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1707]) ).
thf(1748,plain,
! [SV104: $i > $o,SV196: $i,SV241: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV241 )
| ( ( sK76_SY638 @ SV196 @ SV104 @ SV38 )
= SV241 ) )
= $true )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV196
= ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1709]) ).
thf(1749,plain,
! [SV228: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) ) )
= $false )
| ( ( SV38 @ SV228 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1750,plain,
! [SV38: $i > $o,SV104: $i > $o,SV228: $i] :
( ( ( SV228
= ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $false )
| ( ( SV38 @ SV228 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1751,plain,
! [SV229: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) ) )
= $false )
| ( ( SV104 @ SV229 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1711]) ).
thf(1752,plain,
! [SV104: $i > $o,SV38: $i > $o,SV229: $i] :
( ( ( SV229
= ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $false )
| ( ( SV104 @ SV229 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1711]) ).
thf(1753,plain,
! [SV222: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( SV38 @ ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $true )
| ( ( SV38 @ SV222 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1712]) ).
thf(1754,plain,
! [SV222: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $false )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV222
= ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1713]) ).
thf(1755,plain,
! [SV223: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( SV104 @ ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $true )
| ( ( SV104 @ SV223 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1714]) ).
thf(1756,plain,
! [SV223: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $false )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV223
= ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1757,plain,
! [SV224: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( SV38 @ ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $true )
| ( ( SV38 @ SV224 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1716]) ).
thf(1758,plain,
! [SV224: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $false )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV224
= ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1717]) ).
thf(1759,plain,
! [SV225: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( SV104 @ ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $true )
| ( ( SV104 @ SV225 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1718]) ).
thf(1760,plain,
! [SV225: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $false )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV225
= ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1719]) ).
thf(1761,plain,
! [SV215: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $false )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV38 @ ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1762,plain,
! [SV38: $i > $o,SV215: $i,SV104: $i > $o] :
( ( ( ~ ~ ( ~ ( SV104 @ ( sK94_SY788 @ SV215 @ SV38 @ SV104 ) )
| ~ ! [SY978: $i] :
( ~ ( SV104 @ SY978 )
| ( ( sK94_SY788 @ SV215 @ SV38 @ SV104 )
= SY978 ) ) ) )
= $false )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV215
= ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1721]) ).
thf(1763,plain,
! [SV216: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $false )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV104 @ ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(1764,plain,
! [SV104: $i > $o,SV216: $i,SV38: $i > $o] :
( ( ( ~ ~ ( ~ ( SV38 @ ( sK95_SY638 @ SV216 @ SV104 @ SV38 ) )
| ~ ! [SY979: $i] :
( ~ ( SV38 @ SY979 )
| ( ( sK95_SY638 @ SV216 @ SV104 @ SV38 )
= SY979 ) ) ) )
= $false )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV216
= ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1723]) ).
thf(1765,plain,
! [SV55: $i,SV197: $i,SV188: $i] :
( ( ( ~ ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) )
= $false )
| ( ( ~ ( ~ ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
| ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) ) )
= $true )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1766,plain,
! [SV55: $i,SV188: $i,SV197: $i] :
( ( ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
= $false )
| ( ( ~ ( ~ ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
| ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) ) )
= $true )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1767,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV169 ) )
| ~ ~ ~ ! [SY959: $i] :
~ ~ ( ~ ( in @ SY959 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SY959 @ SV169 ) ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1725]) ).
thf(1768,plain,
! [SV169: $i,SV211: $i,SV55: $i] :
( ( ( ! [SY972: $i] :
( ~ ( in @ SY972 @ ( sK2_SY683 @ SV55 ) )
| ! [SY961: $i] :
( ~ ( in @ SY961 @ SY972 )
| ( in @ SY961 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) ) )
| ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SY972 ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1726]) ).
thf(1769,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV169 ) )
| ~ ~ ~ ! [SY953: $i] :
~ ~ ( ~ ( in @ SY953 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SY953 @ SV169 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1727]) ).
thf(1770,plain,
! [SV169: $i,SV205: $i,SV55: $i,SV242: $i] :
( ( ( ~ ( in @ SV242 @ ( sK2_SY683 @ SV55 ) )
| ! [SY980: $i] :
( ~ ( in @ SY980 @ SV242 )
| ( in @ SY980 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) ) )
| ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV242 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1728]) ).
thf(1771,plain,
! [SV123: $i,SV67: $i > $i > $o,SV220: $i,SV170: $i] :
( ( ( ~ ( in @ ( sK90_SY946 @ SV170 @ SV220 @ SV67 @ SV123 ) @ SV123 )
| ~ ( SV67 @ ( sK90_SY946 @ SV170 @ SV220 @ SV67 @ SV123 ) @ SV220 ) )
= $false )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1729]) ).
thf(1772,plain,
! [SV170: $i,SV220: $i,SV67: $i > $i > $o,SV123: $i,SV235: $i] :
( ( ( ~ ( in @ SV235 @ SV123 )
| ~ ( SV67 @ SV235 @ SV220 ) )
= $true )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1730]) ).
thf(1773,plain,
! [SV123: $i,SV67: $i > $i > $o,SV212: $i,SV170: $i] :
( ( ( ~ ( in @ ( sK85_SY942 @ SV170 @ SV212 @ SV67 @ SV123 ) @ SV123 ) )
= $false )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1731]) ).
thf(1774,plain,
! [SV123: $i,SV212: $i,SV170: $i,SV67: $i > $i > $o] :
( ( ( ~ ( SV67 @ ( sK85_SY942 @ SV170 @ SV212 @ SV67 @ SV123 ) @ SV212 ) )
= $false )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1731]) ).
thf(1775,plain,
! [SV170: $i,SV212: $i,SV67: $i > $i > $o,SV123: $i,SV234: $i] :
( ( ( ~ ( in @ SV234 @ SV123 ) )
= $true )
| ( ( ~ ( SV67 @ SV234 @ SV212 ) )
= $true )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1732]) ).
thf(1776,plain,
! [SV233: $i,SV36: $i > $o,SV181: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK96_SY963 @ SV181 @ SV36 @ SV233 @ SV102 ) )
| ( SV233
= ( sK96_SY963 @ SV181 @ SV36 @ SV233 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV233 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1733]) ).
thf(1777,plain,
! [SV231: $i,SV36: $i > $o,SV181: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK93_SY962 @ SV181 @ SV36 @ SV231 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV231 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV181
= ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $false )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(1778,plain,
! [SV102: $i > $o,SV36: $i > $o,SV181: $i,SV231: $i] :
( ( ( SV231
= ( sK93_SY962 @ SV181 @ SV36 @ SV231 @ SV102 ) )
= $false )
| ( ( SV102 @ SV231 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV181
= ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $false )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(1779,plain,
! [SV208: $i,SV36: $i > $o,SV102: $i > $o] :
( ( ( ! [SY778: $i] :
~ ~ ( ~ ( SV102 @ SY778 )
| ~ ! [SY779: $i] :
( ~ ( SV102 @ SY779 )
| ( SY778 = SY779 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1735]) ).
thf(1780,plain,
! [SV208: $i,SV36: $i > $o,SV243: $i,SV102: $i > $o] :
( ( ( ~ ~ ( ~ ( SV102 @ SV243 )
| ~ ! [SY981: $i] :
( ~ ( SV102 @ SY981 )
| ( SV243 = SY981 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV208
= ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1736]) ).
thf(1781,plain,
! [SV203: $i,SV36: $i > $o,SV244: $i,SV102: $i > $o] :
( ( ( ~ ~ ( ~ ( SV102 @ SV244 )
| ~ ! [SY982: $i] :
( ~ ( SV102 @ SY982 )
| ( SV244 = SY982 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1737]) ).
thf(1782,plain,
! [SV203: $i,SV36: $i > $o,SV237: $i,SV102: $i > $o] :
( ( ( ~ ( ~ ( SV102 @ SV237 )
| ~ ! [SY975: $i] :
( ~ ( SV102 @ SY975 )
| ( SV237 = SY975 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV203
= ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1738]) ).
thf(1783,plain,
! [SV204: $i,SV36: $i > $o,SV245: $i,SV102: $i > $o] :
( ( ( ~ ~ ( ~ ( SV102 @ SV245 )
| ~ ! [SY983: $i] :
( ~ ( SV102 @ SY983 )
| ( SV245 = SY983 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1739]) ).
thf(1784,plain,
! [SV204: $i,SV36: $i > $o,SV238: $i,SV102: $i > $o] :
( ( ( ~ ( ~ ( SV102 @ SV238 )
| ~ ! [SY976: $i] :
( ~ ( SV102 @ SY976 )
| ( SV238 = SY976 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV204
= ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1740]) ).
thf(1785,plain,
! [SV200: $i,SV36: $i > $o,SV239: $i,SV102: $i > $o] :
( ( ( ~ ( ~ ( SV102 @ SV239 )
| ~ ! [SY977: $i] :
( ~ ( SV102 @ SY977 )
| ( SV239 = SY977 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1741]) ).
thf(1786,plain,
! [SV200: $i,SV36: $i > $o,SV236: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV236 )
| ~ ! [SY974: $i] :
( ~ ( SV102 @ SY974 )
| ( SV236 = SY974 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV200
= ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1742]) ).
thf(1787,plain,
! [SV38: $i > $o,SV195: $i,SV246: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV246 )
| ( ( sK80_SY788 @ SV195 @ SV38 @ SV104 )
= SV246 ) )
= $true )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV38 @ ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1744]) ).
thf(1788,plain,
! [SV38: $i > $o,SV195: $i,SV240: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV240 ) )
= $true )
| ( ( ( sK75_SY788 @ SV195 @ SV38 @ SV104 )
= SV240 )
= $true )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV195
= ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1745]) ).
thf(1789,plain,
! [SV104: $i > $o,SV196: $i,SV247: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV247 )
| ( ( sK81_SY638 @ SV196 @ SV104 @ SV38 )
= SV247 ) )
= $true )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV104 @ ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1747]) ).
thf(1790,plain,
! [SV104: $i > $o,SV196: $i,SV241: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV241 ) )
= $true )
| ( ( ( sK76_SY638 @ SV196 @ SV104 @ SV38 )
= SV241 )
= $true )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV196
= ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1748]) ).
thf(1791,plain,
! [SV228: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( SV38 @ ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $true )
| ( ( SV38 @ SV228 )
= $false )
| ( ( ~ ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1749]) ).
thf(1792,plain,
! [SV228: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $false )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV228
= ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1750]) ).
thf(1793,plain,
! [SV229: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( SV104 @ ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $true )
| ( ( SV104 @ SV229 )
= $false )
| ( ( ~ ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1751]) ).
thf(1794,plain,
! [SV229: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $false )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV229
= ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1752]) ).
thf(1795,plain,
! [SV222: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $false )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV38 @ ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1753]) ).
thf(1796,plain,
! [SV38: $i > $o,SV222: $i,SV104: $i > $o] :
( ( ( ~ ~ ( ~ ( SV104 @ ( sK97_SY788 @ SV222 @ SV38 @ SV104 ) )
| ~ ! [SY984: $i] :
( ~ ( SV104 @ SY984 )
| ( ( sK97_SY788 @ SV222 @ SV38 @ SV104 )
= SY984 ) ) ) )
= $false )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV222
= ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1754]) ).
thf(1797,plain,
! [SV223: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $false )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV104 @ ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1755]) ).
thf(1798,plain,
! [SV104: $i > $o,SV223: $i,SV38: $i > $o] :
( ( ( ~ ~ ( ~ ( SV38 @ ( sK98_SY638 @ SV223 @ SV104 @ SV38 ) )
| ~ ! [SY985: $i] :
( ~ ( SV38 @ SY985 )
| ( ( sK98_SY638 @ SV223 @ SV104 @ SV38 )
= SY985 ) ) ) )
= $false )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV223
= ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1756]) ).
thf(1799,plain,
! [SV224: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $false )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV38 @ ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1757]) ).
thf(1800,plain,
! [SV38: $i > $o,SV224: $i,SV104: $i > $o] :
( ( ( ~ ~ ( ~ ( SV104 @ ( sK99_SY788 @ SV224 @ SV38 @ SV104 ) )
| ~ ! [SY986: $i] :
( ~ ( SV104 @ SY986 )
| ( ( sK99_SY788 @ SV224 @ SV38 @ SV104 )
= SY986 ) ) ) )
= $false )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV224
= ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1758]) ).
thf(1801,plain,
! [SV225: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $false )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV104 @ ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1759]) ).
thf(1802,plain,
! [SV104: $i > $o,SV225: $i,SV38: $i > $o] :
( ( ( ~ ~ ( ~ ( SV38 @ ( sK100_SY638 @ SV225 @ SV104 @ SV38 ) )
| ~ ! [SY987: $i] :
( ~ ( SV38 @ SY987 )
| ( ( sK100_SY638 @ SV225 @ SV104 @ SV38 )
= SY987 ) ) ) )
= $false )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV225
= ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1760]) ).
thf(1803,plain,
! [SV38: $i > $o,SV215: $i,SV104: $i > $o] :
( ( ( ~ ~ ( ~ ( SV104 @ ( sK101_SY788 @ SV215 @ SV38 @ SV104 ) )
| ~ ! [SY988: $i] :
( ~ ( SV104 @ SY988 )
| ( ( sK101_SY788 @ SV215 @ SV38 @ SV104 )
= SY988 ) ) ) )
= $false )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV38 @ ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1761]) ).
thf(1804,plain,
! [SV38: $i > $o,SV215: $i,SV104: $i > $o] :
( ( ( ~ ( ~ ( SV104 @ ( sK94_SY788 @ SV215 @ SV38 @ SV104 ) )
| ~ ! [SY978: $i] :
( ~ ( SV104 @ SY978 )
| ( ( sK94_SY788 @ SV215 @ SV38 @ SV104 )
= SY978 ) ) ) )
= $true )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV215
= ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1762]) ).
thf(1805,plain,
! [SV104: $i > $o,SV216: $i,SV38: $i > $o] :
( ( ( ~ ~ ( ~ ( SV38 @ ( sK102_SY638 @ SV216 @ SV104 @ SV38 ) )
| ~ ! [SY989: $i] :
( ~ ( SV38 @ SY989 )
| ( ( sK102_SY638 @ SV216 @ SV104 @ SV38 )
= SY989 ) ) ) )
= $false )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV104 @ ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1763]) ).
thf(1806,plain,
! [SV104: $i > $o,SV216: $i,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK95_SY638 @ SV216 @ SV104 @ SV38 ) )
| ~ ! [SY979: $i] :
( ~ ( SV38 @ SY979 )
| ( ( sK95_SY638 @ SV216 @ SV104 @ SV38 )
= SY979 ) ) ) )
= $true )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV216
= ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1764]) ).
thf(1807,plain,
! [SV55: $i,SV197: $i,SV188: $i] :
( ( ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
= $true )
| ( ( ~ ( ~ ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
| ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) ) )
= $true )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(1808,plain,
! [SV55: $i,SV188: $i,SV197: $i] :
( ( ( ~ ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
| ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) )
= $false )
| ( ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
= $false )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1766]) ).
thf(1809,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV169 ) )
| ~ ~ ~ ! [SY959: $i] :
~ ~ ( ~ ( in @ SY959 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SY959 @ SV169 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1767]) ).
thf(1810,plain,
! [SV169: $i,SV211: $i,SV55: $i,SV248: $i] :
( ( ( ~ ( in @ SV248 @ ( sK2_SY683 @ SV55 ) )
| ! [SY990: $i] :
( ~ ( in @ SY990 @ SV248 )
| ( in @ SY990 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) ) )
| ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV248 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1768]) ).
thf(1811,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV169 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1769]) ).
thf(1812,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ~ ~ ! [SY953: $i] :
~ ~ ( ~ ( in @ SY953 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SY953 @ SV169 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1769]) ).
thf(1813,plain,
! [SV169: $i,SV205: $i,SV55: $i,SV242: $i] :
( ( ( ~ ( in @ SV242 @ ( sK2_SY683 @ SV55 ) ) )
= $true )
| ( ( ! [SY980: $i] :
( ~ ( in @ SY980 @ SV242 )
| ( in @ SY980 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) ) )
| ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV242 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1770]) ).
thf(1814,plain,
! [SV123: $i,SV67: $i > $i > $o,SV220: $i,SV170: $i] :
( ( ( ~ ( in @ ( sK90_SY946 @ SV170 @ SV220 @ SV67 @ SV123 ) @ SV123 ) )
= $false )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1771]) ).
thf(1815,plain,
! [SV123: $i,SV220: $i,SV170: $i,SV67: $i > $i > $o] :
( ( ( ~ ( SV67 @ ( sK90_SY946 @ SV170 @ SV220 @ SV67 @ SV123 ) @ SV220 ) )
= $false )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1771]) ).
thf(1816,plain,
! [SV170: $i,SV220: $i,SV67: $i > $i > $o,SV123: $i,SV235: $i] :
( ( ( ~ ( in @ SV235 @ SV123 ) )
= $true )
| ( ( ~ ( SV67 @ SV235 @ SV220 ) )
= $true )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1772]) ).
thf(1817,plain,
! [SV123: $i,SV67: $i > $i > $o,SV212: $i,SV170: $i] :
( ( ( in @ ( sK85_SY942 @ SV170 @ SV212 @ SV67 @ SV123 ) @ SV123 )
= $true )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1773]) ).
thf(1818,plain,
! [SV123: $i,SV212: $i,SV170: $i,SV67: $i > $i > $o] :
( ( ( SV67 @ ( sK85_SY942 @ SV170 @ SV212 @ SV67 @ SV123 ) @ SV212 )
= $true )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1774]) ).
thf(1819,plain,
! [SV170: $i,SV212: $i,SV67: $i > $i > $o,SV123: $i,SV234: $i] :
( ( ( in @ SV234 @ SV123 )
= $false )
| ( ( ~ ( SV67 @ SV234 @ SV212 ) )
= $true )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1775]) ).
thf(1820,plain,
! [SV233: $i,SV36: $i > $o,SV181: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK96_SY963 @ SV181 @ SV36 @ SV233 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV233 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1776]) ).
thf(1821,plain,
! [SV102: $i > $o,SV36: $i > $o,SV181: $i,SV233: $i] :
( ( ( SV233
= ( sK96_SY963 @ SV181 @ SV36 @ SV233 @ SV102 ) )
= $false )
| ( ( SV102 @ SV233 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1776]) ).
thf(1822,plain,
! [SV231: $i,SV36: $i > $o,SV181: $i,SV102: $i > $o] :
( ( ( SV102 @ ( sK93_SY962 @ SV181 @ SV36 @ SV231 @ SV102 ) )
= $true )
| ( ( SV102 @ SV231 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV181
= ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $false )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1777]) ).
thf(1823,plain,
! [SV208: $i,SV36: $i > $o,SV249: $i,SV102: $i > $o] :
( ( ( ~ ~ ( ~ ( SV102 @ SV249 )
| ~ ! [SY991: $i] :
( ~ ( SV102 @ SY991 )
| ( SV249 = SY991 ) ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1779]) ).
thf(1824,plain,
! [SV208: $i,SV36: $i > $o,SV243: $i,SV102: $i > $o] :
( ( ( ~ ( ~ ( SV102 @ SV243 )
| ~ ! [SY981: $i] :
( ~ ( SV102 @ SY981 )
| ( SV243 = SY981 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV208
= ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1780]) ).
thf(1825,plain,
! [SV203: $i,SV36: $i > $o,SV244: $i,SV102: $i > $o] :
( ( ( ~ ( ~ ( SV102 @ SV244 )
| ~ ! [SY982: $i] :
( ~ ( SV102 @ SY982 )
| ( SV244 = SY982 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1781]) ).
thf(1826,plain,
! [SV203: $i,SV36: $i > $o,SV237: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV237 )
| ~ ! [SY975: $i] :
( ~ ( SV102 @ SY975 )
| ( SV237 = SY975 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV203
= ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1782]) ).
thf(1827,plain,
! [SV204: $i,SV36: $i > $o,SV245: $i,SV102: $i > $o] :
( ( ( ~ ( ~ ( SV102 @ SV245 )
| ~ ! [SY983: $i] :
( ~ ( SV102 @ SY983 )
| ( SV245 = SY983 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1783]) ).
thf(1828,plain,
! [SV204: $i,SV36: $i > $o,SV238: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV238 )
| ~ ! [SY976: $i] :
( ~ ( SV102 @ SY976 )
| ( SV238 = SY976 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV204
= ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1784]) ).
thf(1829,plain,
! [SV200: $i,SV36: $i > $o,SV239: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV239 )
| ~ ! [SY977: $i] :
( ~ ( SV102 @ SY977 )
| ( SV239 = SY977 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1785]) ).
thf(1830,plain,
! [SV200: $i,SV36: $i > $o,SV236: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV236 ) )
= $true )
| ( ( ~ ! [SY974: $i] :
( ~ ( SV102 @ SY974 )
| ( SV236 = SY974 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV200
= ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1786]) ).
thf(1831,plain,
! [SV38: $i > $o,SV195: $i,SV246: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV246 ) )
= $true )
| ( ( ( sK80_SY788 @ SV195 @ SV38 @ SV104 )
= SV246 )
= $true )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV38 @ ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1787]) ).
thf(1832,plain,
! [SV38: $i > $o,SV195: $i,SV240: $i,SV104: $i > $o] :
( ( ( SV104 @ SV240 )
= $false )
| ( ( ( sK75_SY788 @ SV195 @ SV38 @ SV104 )
= SV240 )
= $true )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV195
= ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1788]) ).
thf(1833,plain,
! [SV104: $i > $o,SV196: $i,SV247: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV247 ) )
= $true )
| ( ( ( sK81_SY638 @ SV196 @ SV104 @ SV38 )
= SV247 )
= $true )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV104 @ ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1789]) ).
thf(1834,plain,
! [SV104: $i > $o,SV196: $i,SV241: $i,SV38: $i > $o] :
( ( ( SV38 @ SV241 )
= $false )
| ( ( ( sK76_SY638 @ SV196 @ SV104 @ SV38 )
= SV241 )
= $true )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV196
= ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $false )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1790]) ).
thf(1835,plain,
! [SV228: $i,SV38: $i > $o,SV104: $i > $o] :
( ( ( ! [SY788: $i] :
~ ~ ( ~ ( SV104 @ SY788 )
| ~ ! [SY789: $i] :
( ~ ( SV104 @ SY789 )
| ( SY788 = SY789 ) ) ) )
= $false )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV38 @ ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1791]) ).
thf(1836,plain,
! [SV38: $i > $o,SV228: $i,SV104: $i > $o] :
( ( ( ~ ~ ( ~ ( SV104 @ ( sK103_SY788 @ SV228 @ SV38 @ SV104 ) )
| ~ ! [SY992: $i] :
( ~ ( SV104 @ SY992 )
| ( ( sK103_SY788 @ SV228 @ SV38 @ SV104 )
= SY992 ) ) ) )
= $false )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV228
= ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1792]) ).
thf(1837,plain,
! [SV229: $i,SV104: $i > $o,SV38: $i > $o] :
( ( ( ! [SY638: $i] :
~ ~ ( ~ ( SV38 @ SY638 )
| ~ ! [SY639: $i] :
( ~ ( SV38 @ SY639 )
| ( SY638 = SY639 ) ) ) )
= $false )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV104 @ ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1793]) ).
thf(1838,plain,
! [SV104: $i > $o,SV229: $i,SV38: $i > $o] :
( ( ( ~ ~ ( ~ ( SV38 @ ( sK104_SY638 @ SV229 @ SV104 @ SV38 ) )
| ~ ! [SY993: $i] :
( ~ ( SV38 @ SY993 )
| ( ( sK104_SY638 @ SV229 @ SV104 @ SV38 )
= SY993 ) ) ) )
= $false )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV229
= ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1794]) ).
thf(1839,plain,
! [SV38: $i > $o,SV222: $i,SV104: $i > $o] :
( ( ( ~ ~ ( ~ ( SV104 @ ( sK105_SY788 @ SV222 @ SV38 @ SV104 ) )
| ~ ! [SY994: $i] :
( ~ ( SV104 @ SY994 )
| ( ( sK105_SY788 @ SV222 @ SV38 @ SV104 )
= SY994 ) ) ) )
= $false )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV38 @ ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1795]) ).
thf(1840,plain,
! [SV38: $i > $o,SV222: $i,SV104: $i > $o] :
( ( ( ~ ( ~ ( SV104 @ ( sK97_SY788 @ SV222 @ SV38 @ SV104 ) )
| ~ ! [SY984: $i] :
( ~ ( SV104 @ SY984 )
| ( ( sK97_SY788 @ SV222 @ SV38 @ SV104 )
= SY984 ) ) ) )
= $true )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV222
= ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1796]) ).
thf(1841,plain,
! [SV104: $i > $o,SV223: $i,SV38: $i > $o] :
( ( ( ~ ~ ( ~ ( SV38 @ ( sK106_SY638 @ SV223 @ SV104 @ SV38 ) )
| ~ ! [SY995: $i] :
( ~ ( SV38 @ SY995 )
| ( ( sK106_SY638 @ SV223 @ SV104 @ SV38 )
= SY995 ) ) ) )
= $false )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV104 @ ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1797]) ).
thf(1842,plain,
! [SV104: $i > $o,SV223: $i,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK98_SY638 @ SV223 @ SV104 @ SV38 ) )
| ~ ! [SY985: $i] :
( ~ ( SV38 @ SY985 )
| ( ( sK98_SY638 @ SV223 @ SV104 @ SV38 )
= SY985 ) ) ) )
= $true )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV223
= ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1798]) ).
thf(1843,plain,
! [SV38: $i > $o,SV224: $i,SV104: $i > $o] :
( ( ( ~ ~ ( ~ ( SV104 @ ( sK107_SY788 @ SV224 @ SV38 @ SV104 ) )
| ~ ! [SY996: $i] :
( ~ ( SV104 @ SY996 )
| ( ( sK107_SY788 @ SV224 @ SV38 @ SV104 )
= SY996 ) ) ) )
= $false )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV38 @ ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1799]) ).
thf(1844,plain,
! [SV38: $i > $o,SV224: $i,SV104: $i > $o] :
( ( ( ~ ( ~ ( SV104 @ ( sK99_SY788 @ SV224 @ SV38 @ SV104 ) )
| ~ ! [SY986: $i] :
( ~ ( SV104 @ SY986 )
| ( ( sK99_SY788 @ SV224 @ SV38 @ SV104 )
= SY986 ) ) ) )
= $true )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV224
= ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1800]) ).
thf(1845,plain,
! [SV104: $i > $o,SV225: $i,SV38: $i > $o] :
( ( ( ~ ~ ( ~ ( SV38 @ ( sK108_SY638 @ SV225 @ SV104 @ SV38 ) )
| ~ ! [SY997: $i] :
( ~ ( SV38 @ SY997 )
| ( ( sK108_SY638 @ SV225 @ SV104 @ SV38 )
= SY997 ) ) ) )
= $false )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV104 @ ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1801]) ).
thf(1846,plain,
! [SV104: $i > $o,SV225: $i,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK100_SY638 @ SV225 @ SV104 @ SV38 ) )
| ~ ! [SY987: $i] :
( ~ ( SV38 @ SY987 )
| ( ( sK100_SY638 @ SV225 @ SV104 @ SV38 )
= SY987 ) ) ) )
= $true )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV225
= ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1802]) ).
thf(1847,plain,
! [SV38: $i > $o,SV215: $i,SV104: $i > $o] :
( ( ( ~ ( ~ ( SV104 @ ( sK101_SY788 @ SV215 @ SV38 @ SV104 ) )
| ~ ! [SY988: $i] :
( ~ ( SV104 @ SY988 )
| ( ( sK101_SY788 @ SV215 @ SV38 @ SV104 )
= SY988 ) ) ) )
= $true )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV38 @ ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1803]) ).
thf(1848,plain,
! [SV38: $i > $o,SV215: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK94_SY788 @ SV215 @ SV38 @ SV104 ) )
| ~ ! [SY978: $i] :
( ~ ( SV104 @ SY978 )
| ( ( sK94_SY788 @ SV215 @ SV38 @ SV104 )
= SY978 ) ) )
= $false )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV215
= ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1804]) ).
thf(1849,plain,
! [SV104: $i > $o,SV216: $i,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK102_SY638 @ SV216 @ SV104 @ SV38 ) )
| ~ ! [SY989: $i] :
( ~ ( SV38 @ SY989 )
| ( ( sK102_SY638 @ SV216 @ SV104 @ SV38 )
= SY989 ) ) ) )
= $true )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV104 @ ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1805]) ).
thf(1850,plain,
! [SV104: $i > $o,SV216: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK95_SY638 @ SV216 @ SV104 @ SV38 ) )
| ~ ! [SY979: $i] :
( ~ ( SV38 @ SY979 )
| ( ( sK95_SY638 @ SV216 @ SV104 @ SV38 )
= SY979 ) ) )
= $false )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV216
= ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1806]) ).
thf(1851,plain,
! [SV55: $i,SV188: $i,SV197: $i] :
( ( ( ~ ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
| ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) )
= $false )
| ( ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
= $true )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1807]) ).
thf(1852,plain,
! [SV55: $i,SV188: $i,SV197: $i] :
( ( ( ~ ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) )
= $false )
| ( ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
= $false )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1808]) ).
thf(1853,plain,
! [SV55: $i,SV197: $i,SV188: $i] :
( ( ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
= $false )
| ( ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
= $false )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1808]) ).
thf(1854,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV169 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1809]) ).
thf(1855,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ~ ~ ! [SY959: $i] :
~ ~ ( ~ ( in @ SY959 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SY959 @ SV169 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1809]) ).
thf(1856,plain,
! [SV169: $i,SV211: $i,SV55: $i,SV248: $i] :
( ( ( ~ ( in @ SV248 @ ( sK2_SY683 @ SV55 ) ) )
= $true )
| ( ( ! [SY990: $i] :
( ~ ( in @ SY990 @ SV248 )
| ( in @ SY990 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) ) )
| ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV248 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1810]) ).
thf(1857,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ( ~ ( in @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV169 ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1811]) ).
thf(1858,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ~ ! [SY953: $i] :
~ ~ ( ~ ( in @ SY953 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SY953 @ SV169 ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1812]) ).
thf(1859,plain,
! [SV169: $i,SV205: $i,SV55: $i,SV242: $i] :
( ( ( in @ SV242 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( ! [SY980: $i] :
( ~ ( in @ SY980 @ SV242 )
| ( in @ SY980 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) ) )
| ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV242 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1813]) ).
thf(1860,plain,
! [SV123: $i,SV67: $i > $i > $o,SV220: $i,SV170: $i] :
( ( ( in @ ( sK90_SY946 @ SV170 @ SV220 @ SV67 @ SV123 ) @ SV123 )
= $true )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1814]) ).
thf(1861,plain,
! [SV123: $i,SV220: $i,SV170: $i,SV67: $i > $i > $o] :
( ( ( SV67 @ ( sK90_SY946 @ SV170 @ SV220 @ SV67 @ SV123 ) @ SV220 )
= $true )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1815]) ).
thf(1862,plain,
! [SV170: $i,SV220: $i,SV67: $i > $i > $o,SV123: $i,SV235: $i] :
( ( ( in @ SV235 @ SV123 )
= $false )
| ( ( ~ ( SV67 @ SV235 @ SV220 ) )
= $true )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1816]) ).
thf(1863,plain,
! [SV170: $i,SV123: $i,SV212: $i,SV234: $i,SV67: $i > $i > $o] :
( ( ( SV67 @ SV234 @ SV212 )
= $false )
| ( ( in @ SV234 @ SV123 )
= $false )
| ( ( in @ SV212 @ ( sK64_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV170
= ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1819]) ).
thf(1864,plain,
! [SV233: $i,SV36: $i > $o,SV181: $i,SV102: $i > $o] :
( ( ( SV102 @ ( sK96_SY963 @ SV181 @ SV36 @ SV233 @ SV102 ) )
= $true )
| ( ( SV102 @ SV233 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV181 )
= $false )
| ( ( SV36 @ ( sK65_SY906 @ SV102 @ SV181 @ SV36 ) )
= $true )
| ( ( ( sK10_SY774 @ SV102 @ SV36 )
= ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1820]) ).
thf(1865,plain,
! [SV208: $i,SV36: $i > $o,SV249: $i,SV102: $i > $o] :
( ( ( ~ ( ~ ( SV102 @ SV249 )
| ~ ! [SY991: $i] :
( ~ ( SV102 @ SY991 )
| ( SV249 = SY991 ) ) ) )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1823]) ).
thf(1866,plain,
! [SV208: $i,SV36: $i > $o,SV243: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV243 )
| ~ ! [SY981: $i] :
( ~ ( SV102 @ SY981 )
| ( SV243 = SY981 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV208
= ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1824]) ).
thf(1867,plain,
! [SV203: $i,SV36: $i > $o,SV244: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV244 )
| ~ ! [SY982: $i] :
( ~ ( SV102 @ SY982 )
| ( SV244 = SY982 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1825]) ).
thf(1868,plain,
! [SV203: $i,SV36: $i > $o,SV237: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV237 ) )
= $true )
| ( ( ~ ! [SY975: $i] :
( ~ ( SV102 @ SY975 )
| ( SV237 = SY975 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV203
= ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1826]) ).
thf(1869,plain,
! [SV204: $i,SV36: $i > $o,SV245: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV245 )
| ~ ! [SY983: $i] :
( ~ ( SV102 @ SY983 )
| ( SV245 = SY983 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1827]) ).
thf(1870,plain,
! [SV204: $i,SV36: $i > $o,SV238: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV238 ) )
= $true )
| ( ( ~ ! [SY976: $i] :
( ~ ( SV102 @ SY976 )
| ( SV238 = SY976 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV204
= ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1828]) ).
thf(1871,plain,
! [SV200: $i,SV36: $i > $o,SV239: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV239 ) )
= $true )
| ( ( ~ ! [SY977: $i] :
( ~ ( SV102 @ SY977 )
| ( SV239 = SY977 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1829]) ).
thf(1872,plain,
! [SV200: $i,SV36: $i > $o,SV236: $i,SV102: $i > $o] :
( ( ( SV102 @ SV236 )
= $false )
| ( ( ~ ! [SY974: $i] :
( ~ ( SV102 @ SY974 )
| ( SV236 = SY974 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV200
= ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1830]) ).
thf(1873,plain,
! [SV38: $i > $o,SV195: $i,SV246: $i,SV104: $i > $o] :
( ( ( SV104 @ SV246 )
= $false )
| ( ( ( sK80_SY788 @ SV195 @ SV38 @ SV104 )
= SV246 )
= $true )
| ( ( SV38 @ SV195 )
= $false )
| ( ( SV38 @ ( sK68_SY922 @ SV104 @ SV195 @ SV38 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1831]) ).
thf(1874,plain,
! [SV104: $i > $o,SV196: $i,SV247: $i,SV38: $i > $o] :
( ( ( SV38 @ SV247 )
= $false )
| ( ( ( sK81_SY638 @ SV196 @ SV104 @ SV38 )
= SV247 )
= $true )
| ( ( SV104 @ SV196 )
= $false )
| ( ( SV104 @ ( sK69_SY923 @ SV38 @ SV196 @ SV104 ) )
= $true )
| ( ( ( sK11_SY784 @ SV104 @ SV38 )
= ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1833]) ).
thf(1875,plain,
! [SV38: $i > $o,SV228: $i,SV104: $i > $o] :
( ( ( ~ ~ ( ~ ( SV104 @ ( sK109_SY788 @ SV228 @ SV38 @ SV104 ) )
| ~ ! [SY998: $i] :
( ~ ( SV104 @ SY998 )
| ( ( sK109_SY788 @ SV228 @ SV38 @ SV104 )
= SY998 ) ) ) )
= $false )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV38 @ ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1835]) ).
thf(1876,plain,
! [SV38: $i > $o,SV228: $i,SV104: $i > $o] :
( ( ( ~ ( ~ ( SV104 @ ( sK103_SY788 @ SV228 @ SV38 @ SV104 ) )
| ~ ! [SY992: $i] :
( ~ ( SV104 @ SY992 )
| ( ( sK103_SY788 @ SV228 @ SV38 @ SV104 )
= SY992 ) ) ) )
= $true )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV228
= ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1836]) ).
thf(1877,plain,
! [SV104: $i > $o,SV229: $i,SV38: $i > $o] :
( ( ( ~ ~ ( ~ ( SV38 @ ( sK110_SY638 @ SV229 @ SV104 @ SV38 ) )
| ~ ! [SY999: $i] :
( ~ ( SV38 @ SY999 )
| ( ( sK110_SY638 @ SV229 @ SV104 @ SV38 )
= SY999 ) ) ) )
= $false )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV104 @ ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1837]) ).
thf(1878,plain,
! [SV104: $i > $o,SV229: $i,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK104_SY638 @ SV229 @ SV104 @ SV38 ) )
| ~ ! [SY993: $i] :
( ~ ( SV38 @ SY993 )
| ( ( sK104_SY638 @ SV229 @ SV104 @ SV38 )
= SY993 ) ) ) )
= $true )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV229
= ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1838]) ).
thf(1879,plain,
! [SV38: $i > $o,SV222: $i,SV104: $i > $o] :
( ( ( ~ ( ~ ( SV104 @ ( sK105_SY788 @ SV222 @ SV38 @ SV104 ) )
| ~ ! [SY994: $i] :
( ~ ( SV104 @ SY994 )
| ( ( sK105_SY788 @ SV222 @ SV38 @ SV104 )
= SY994 ) ) ) )
= $true )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV38 @ ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1839]) ).
thf(1880,plain,
! [SV38: $i > $o,SV222: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK97_SY788 @ SV222 @ SV38 @ SV104 ) )
| ~ ! [SY984: $i] :
( ~ ( SV104 @ SY984 )
| ( ( sK97_SY788 @ SV222 @ SV38 @ SV104 )
= SY984 ) ) )
= $false )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV222
= ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1840]) ).
thf(1881,plain,
! [SV104: $i > $o,SV223: $i,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK106_SY638 @ SV223 @ SV104 @ SV38 ) )
| ~ ! [SY995: $i] :
( ~ ( SV38 @ SY995 )
| ( ( sK106_SY638 @ SV223 @ SV104 @ SV38 )
= SY995 ) ) ) )
= $true )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV104 @ ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1841]) ).
thf(1882,plain,
! [SV104: $i > $o,SV223: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK98_SY638 @ SV223 @ SV104 @ SV38 ) )
| ~ ! [SY985: $i] :
( ~ ( SV38 @ SY985 )
| ( ( sK98_SY638 @ SV223 @ SV104 @ SV38 )
= SY985 ) ) )
= $false )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV223
= ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1842]) ).
thf(1883,plain,
! [SV38: $i > $o,SV224: $i,SV104: $i > $o] :
( ( ( ~ ( ~ ( SV104 @ ( sK107_SY788 @ SV224 @ SV38 @ SV104 ) )
| ~ ! [SY996: $i] :
( ~ ( SV104 @ SY996 )
| ( ( sK107_SY788 @ SV224 @ SV38 @ SV104 )
= SY996 ) ) ) )
= $true )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV38 @ ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1843]) ).
thf(1884,plain,
! [SV38: $i > $o,SV224: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK99_SY788 @ SV224 @ SV38 @ SV104 ) )
| ~ ! [SY986: $i] :
( ~ ( SV104 @ SY986 )
| ( ( sK99_SY788 @ SV224 @ SV38 @ SV104 )
= SY986 ) ) )
= $false )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV224
= ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1844]) ).
thf(1885,plain,
! [SV104: $i > $o,SV225: $i,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK108_SY638 @ SV225 @ SV104 @ SV38 ) )
| ~ ! [SY997: $i] :
( ~ ( SV38 @ SY997 )
| ( ( sK108_SY638 @ SV225 @ SV104 @ SV38 )
= SY997 ) ) ) )
= $true )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV104 @ ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1845]) ).
thf(1886,plain,
! [SV104: $i > $o,SV225: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK100_SY638 @ SV225 @ SV104 @ SV38 ) )
| ~ ! [SY987: $i] :
( ~ ( SV38 @ SY987 )
| ( ( sK100_SY638 @ SV225 @ SV104 @ SV38 )
= SY987 ) ) )
= $false )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV225
= ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1846]) ).
thf(1887,plain,
! [SV38: $i > $o,SV215: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK101_SY788 @ SV215 @ SV38 @ SV104 ) )
| ~ ! [SY988: $i] :
( ~ ( SV104 @ SY988 )
| ( ( sK101_SY788 @ SV215 @ SV38 @ SV104 )
= SY988 ) ) )
= $false )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV38 @ ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1847]) ).
thf(1888,plain,
! [SV38: $i > $o,SV215: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK94_SY788 @ SV215 @ SV38 @ SV104 ) ) )
= $false )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV215
= ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1848]) ).
thf(1889,plain,
! [SV38: $i > $o,SV215: $i,SV104: $i > $o] :
( ( ( ~ ! [SY978: $i] :
( ~ ( SV104 @ SY978 )
| ( ( sK94_SY788 @ SV215 @ SV38 @ SV104 )
= SY978 ) ) )
= $false )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV215
= ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1848]) ).
thf(1890,plain,
! [SV104: $i > $o,SV216: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK102_SY638 @ SV216 @ SV104 @ SV38 ) )
| ~ ! [SY989: $i] :
( ~ ( SV38 @ SY989 )
| ( ( sK102_SY638 @ SV216 @ SV104 @ SV38 )
= SY989 ) ) )
= $false )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV104 @ ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1849]) ).
thf(1891,plain,
! [SV104: $i > $o,SV216: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK95_SY638 @ SV216 @ SV104 @ SV38 ) ) )
= $false )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV216
= ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1850]) ).
thf(1892,plain,
! [SV104: $i > $o,SV216: $i,SV38: $i > $o] :
( ( ( ~ ! [SY979: $i] :
( ~ ( SV38 @ SY979 )
| ( ( sK95_SY638 @ SV216 @ SV104 @ SV38 )
= SY979 ) ) )
= $false )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV216
= ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1850]) ).
thf(1893,plain,
! [SV55: $i,SV188: $i,SV197: $i] :
( ( ( ~ ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) ) )
= $false )
| ( ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
= $true )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1851]) ).
thf(1894,plain,
! [SV55: $i,SV197: $i,SV188: $i] :
( ( ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
= $false )
| ( ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
= $true )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1851]) ).
thf(1895,plain,
! [SV55: $i,SV188: $i,SV197: $i] :
( ( ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
= $true )
| ( ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
= $false )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1852]) ).
thf(1896,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ( ~ ( in @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV169 ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1854]) ).
thf(1897,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ~ ! [SY959: $i] :
~ ~ ( ~ ( in @ SY959 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SY959 @ SV169 ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1855]) ).
thf(1898,plain,
! [SV169: $i,SV211: $i,SV55: $i,SV248: $i] :
( ( ( in @ SV248 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( ! [SY990: $i] :
( ~ ( in @ SY990 @ SV248 )
| ( in @ SY990 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) ) )
| ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV248 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1856]) ).
thf(1899,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ( in @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV169 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1857]) ).
thf(1900,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ! [SY953: $i] :
~ ~ ( ~ ( in @ SY953 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SY953 @ SV169 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1858]) ).
thf(1901,plain,
! [SV55: $i,SV169: $i,SV205: $i,SV242: $i] :
( ( ( ! [SY980: $i] :
( ~ ( in @ SY980 @ SV242 )
| ( in @ SY980 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) ) ) )
= $true )
| ( ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV242 )
= $true )
| ( ( in @ SV242 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1859]) ).
thf(1902,plain,
! [SV170: $i,SV123: $i,SV220: $i,SV235: $i,SV67: $i > $i > $o] :
( ( ( SV67 @ SV235 @ SV220 )
= $false )
| ( ( in @ SV235 @ SV123 )
= $false )
| ( ( in @ SV220 @ ( sK67_SY825 @ SV170 @ SV67 @ SV123 ) )
= $true )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ SV170 )
= $false )
| ( ( SV67 @ ( sK15_SY822 @ SV67 @ SV123 ) @ ( sK53_SY895 @ SV170 @ SV123 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1862]) ).
thf(1903,plain,
! [SV208: $i,SV36: $i > $o,SV249: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV249 )
| ~ ! [SY991: $i] :
( ~ ( SV102 @ SY991 )
| ( SV249 = SY991 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1865]) ).
thf(1904,plain,
! [SV208: $i,SV36: $i > $o,SV243: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV243 ) )
= $true )
| ( ( ~ ! [SY981: $i] :
( ~ ( SV102 @ SY981 )
| ( SV243 = SY981 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV208
= ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1866]) ).
thf(1905,plain,
! [SV203: $i,SV36: $i > $o,SV244: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV244 ) )
= $true )
| ( ( ~ ! [SY982: $i] :
( ~ ( SV102 @ SY982 )
| ( SV244 = SY982 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1867]) ).
thf(1906,plain,
! [SV203: $i,SV36: $i > $o,SV237: $i,SV102: $i > $o] :
( ( ( SV102 @ SV237 )
= $false )
| ( ( ~ ! [SY975: $i] :
( ~ ( SV102 @ SY975 )
| ( SV237 = SY975 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV203
= ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1868]) ).
thf(1907,plain,
! [SV204: $i,SV36: $i > $o,SV245: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV245 ) )
= $true )
| ( ( ~ ! [SY983: $i] :
( ~ ( SV102 @ SY983 )
| ( SV245 = SY983 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1869]) ).
thf(1908,plain,
! [SV204: $i,SV36: $i > $o,SV238: $i,SV102: $i > $o] :
( ( ( SV102 @ SV238 )
= $false )
| ( ( ~ ! [SY976: $i] :
( ~ ( SV102 @ SY976 )
| ( SV238 = SY976 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV204
= ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1870]) ).
thf(1909,plain,
! [SV200: $i,SV36: $i > $o,SV239: $i,SV102: $i > $o] :
( ( ( SV102 @ SV239 )
= $false )
| ( ( ~ ! [SY977: $i] :
( ~ ( SV102 @ SY977 )
| ( SV239 = SY977 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1871]) ).
thf(1910,plain,
! [SV200: $i,SV36: $i > $o,SV236: $i,SV102: $i > $o] :
( ( ( ! [SY974: $i] :
( ~ ( SV102 @ SY974 )
| ( SV236 = SY974 ) ) )
= $false )
| ( ( SV102 @ SV236 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV200
= ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1872]) ).
thf(1911,plain,
! [SV38: $i > $o,SV228: $i,SV104: $i > $o] :
( ( ( ~ ( ~ ( SV104 @ ( sK109_SY788 @ SV228 @ SV38 @ SV104 ) )
| ~ ! [SY998: $i] :
( ~ ( SV104 @ SY998 )
| ( ( sK109_SY788 @ SV228 @ SV38 @ SV104 )
= SY998 ) ) ) )
= $true )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV38 @ ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1875]) ).
thf(1912,plain,
! [SV38: $i > $o,SV228: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK103_SY788 @ SV228 @ SV38 @ SV104 ) )
| ~ ! [SY992: $i] :
( ~ ( SV104 @ SY992 )
| ( ( sK103_SY788 @ SV228 @ SV38 @ SV104 )
= SY992 ) ) )
= $false )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV228
= ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1876]) ).
thf(1913,plain,
! [SV104: $i > $o,SV229: $i,SV38: $i > $o] :
( ( ( ~ ( ~ ( SV38 @ ( sK110_SY638 @ SV229 @ SV104 @ SV38 ) )
| ~ ! [SY999: $i] :
( ~ ( SV38 @ SY999 )
| ( ( sK110_SY638 @ SV229 @ SV104 @ SV38 )
= SY999 ) ) ) )
= $true )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV104 @ ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1877]) ).
thf(1914,plain,
! [SV104: $i > $o,SV229: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK104_SY638 @ SV229 @ SV104 @ SV38 ) )
| ~ ! [SY993: $i] :
( ~ ( SV38 @ SY993 )
| ( ( sK104_SY638 @ SV229 @ SV104 @ SV38 )
= SY993 ) ) )
= $false )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV229
= ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1878]) ).
thf(1915,plain,
! [SV38: $i > $o,SV222: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK105_SY788 @ SV222 @ SV38 @ SV104 ) )
| ~ ! [SY994: $i] :
( ~ ( SV104 @ SY994 )
| ( ( sK105_SY788 @ SV222 @ SV38 @ SV104 )
= SY994 ) ) )
= $false )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV38 @ ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1879]) ).
thf(1916,plain,
! [SV38: $i > $o,SV222: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK97_SY788 @ SV222 @ SV38 @ SV104 ) ) )
= $false )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV222
= ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1880]) ).
thf(1917,plain,
! [SV38: $i > $o,SV222: $i,SV104: $i > $o] :
( ( ( ~ ! [SY984: $i] :
( ~ ( SV104 @ SY984 )
| ( ( sK97_SY788 @ SV222 @ SV38 @ SV104 )
= SY984 ) ) )
= $false )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV222
= ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1880]) ).
thf(1918,plain,
! [SV104: $i > $o,SV223: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK106_SY638 @ SV223 @ SV104 @ SV38 ) )
| ~ ! [SY995: $i] :
( ~ ( SV38 @ SY995 )
| ( ( sK106_SY638 @ SV223 @ SV104 @ SV38 )
= SY995 ) ) )
= $false )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV104 @ ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1881]) ).
thf(1919,plain,
! [SV104: $i > $o,SV223: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK98_SY638 @ SV223 @ SV104 @ SV38 ) ) )
= $false )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV223
= ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1882]) ).
thf(1920,plain,
! [SV104: $i > $o,SV223: $i,SV38: $i > $o] :
( ( ( ~ ! [SY985: $i] :
( ~ ( SV38 @ SY985 )
| ( ( sK98_SY638 @ SV223 @ SV104 @ SV38 )
= SY985 ) ) )
= $false )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV223
= ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1882]) ).
thf(1921,plain,
! [SV38: $i > $o,SV224: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK107_SY788 @ SV224 @ SV38 @ SV104 ) )
| ~ ! [SY996: $i] :
( ~ ( SV104 @ SY996 )
| ( ( sK107_SY788 @ SV224 @ SV38 @ SV104 )
= SY996 ) ) )
= $false )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV38 @ ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1883]) ).
thf(1922,plain,
! [SV38: $i > $o,SV224: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK99_SY788 @ SV224 @ SV38 @ SV104 ) ) )
= $false )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV224
= ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1884]) ).
thf(1923,plain,
! [SV38: $i > $o,SV224: $i,SV104: $i > $o] :
( ( ( ~ ! [SY986: $i] :
( ~ ( SV104 @ SY986 )
| ( ( sK99_SY788 @ SV224 @ SV38 @ SV104 )
= SY986 ) ) )
= $false )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV224
= ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1884]) ).
thf(1924,plain,
! [SV104: $i > $o,SV225: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK108_SY638 @ SV225 @ SV104 @ SV38 ) )
| ~ ! [SY997: $i] :
( ~ ( SV38 @ SY997 )
| ( ( sK108_SY638 @ SV225 @ SV104 @ SV38 )
= SY997 ) ) )
= $false )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV104 @ ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1885]) ).
thf(1925,plain,
! [SV104: $i > $o,SV225: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK100_SY638 @ SV225 @ SV104 @ SV38 ) ) )
= $false )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV225
= ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1886]) ).
thf(1926,plain,
! [SV104: $i > $o,SV225: $i,SV38: $i > $o] :
( ( ( ~ ! [SY987: $i] :
( ~ ( SV38 @ SY987 )
| ( ( sK100_SY638 @ SV225 @ SV104 @ SV38 )
= SY987 ) ) )
= $false )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV225
= ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1886]) ).
thf(1927,plain,
! [SV38: $i > $o,SV215: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK101_SY788 @ SV215 @ SV38 @ SV104 ) ) )
= $false )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV38 @ ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1887]) ).
thf(1928,plain,
! [SV38: $i > $o,SV215: $i,SV104: $i > $o] :
( ( ( ~ ! [SY988: $i] :
( ~ ( SV104 @ SY988 )
| ( ( sK101_SY788 @ SV215 @ SV38 @ SV104 )
= SY988 ) ) )
= $false )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV38 @ ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1887]) ).
thf(1929,plain,
! [SV38: $i > $o,SV215: $i,SV104: $i > $o] :
( ( ( SV104 @ ( sK94_SY788 @ SV215 @ SV38 @ SV104 ) )
= $true )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV215
= ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1888]) ).
thf(1930,plain,
! [SV38: $i > $o,SV215: $i,SV104: $i > $o] :
( ( ( ! [SY978: $i] :
( ~ ( SV104 @ SY978 )
| ( ( sK94_SY788 @ SV215 @ SV38 @ SV104 )
= SY978 ) ) )
= $true )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV215
= ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1889]) ).
thf(1931,plain,
! [SV104: $i > $o,SV216: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK102_SY638 @ SV216 @ SV104 @ SV38 ) ) )
= $false )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV104 @ ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1890]) ).
thf(1932,plain,
! [SV104: $i > $o,SV216: $i,SV38: $i > $o] :
( ( ( ~ ! [SY989: $i] :
( ~ ( SV38 @ SY989 )
| ( ( sK102_SY638 @ SV216 @ SV104 @ SV38 )
= SY989 ) ) )
= $false )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV104 @ ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1890]) ).
thf(1933,plain,
! [SV104: $i > $o,SV216: $i,SV38: $i > $o] :
( ( ( SV38 @ ( sK95_SY638 @ SV216 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV216
= ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1891]) ).
thf(1934,plain,
! [SV104: $i > $o,SV216: $i,SV38: $i > $o] :
( ( ( ! [SY979: $i] :
( ~ ( SV38 @ SY979 )
| ( ( sK95_SY638 @ SV216 @ SV104 @ SV38 )
= SY979 ) ) )
= $true )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV216
= ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1892]) ).
thf(1935,plain,
! [SV55: $i,SV188: $i,SV197: $i] :
( ( ( in @ SV197 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
= $true )
| ( ( in @ SV188 @ ( sK77_SY926 @ SV197 @ SV188 @ SV55 ) )
= $true )
| ( ( SV188 = SV197 )
= $true )
| ( ( in @ SV188 @ SV55 )
= $false )
| ( ( in @ SV197 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1893]) ).
thf(1936,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ( in @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
| ~ ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV169 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1896]) ).
thf(1937,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ! [SY959: $i] :
~ ~ ( ~ ( in @ SY959 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SY959 @ SV169 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1897]) ).
thf(1938,plain,
! [SV55: $i,SV169: $i,SV211: $i,SV248: $i] :
( ( ( ! [SY990: $i] :
( ~ ( in @ SY990 @ SV248 )
| ( in @ SY990 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) ) ) )
= $true )
| ( ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV248 )
= $true )
| ( ( in @ SV248 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1898]) ).
thf(1939,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ~ ( in @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1899]) ).
thf(1940,plain,
! [SV205: $i,SV169: $i,SV55: $i] :
( ( ( ~ ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV169 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1899]) ).
thf(1941,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( ! [SY953: $i] :
~ ~ ( ~ ( in @ SY953 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SY953 @ SV169 ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1900]) ).
thf(1942,plain,
! [SV55: $i,SV169: $i,SV205: $i,SV242: $i,SV250: $i] :
( ( ( ~ ( in @ SV250 @ SV242 )
| ( in @ SV250 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) ) )
= $true )
| ( ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV242 )
= $true )
| ( ( in @ SV242 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1901]) ).
thf(1943,plain,
! [SV208: $i,SV36: $i > $o,SV249: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ SV249 ) )
= $true )
| ( ( ~ ! [SY991: $i] :
( ~ ( SV102 @ SY991 )
| ( SV249 = SY991 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1903]) ).
thf(1944,plain,
! [SV208: $i,SV36: $i > $o,SV243: $i,SV102: $i > $o] :
( ( ( SV102 @ SV243 )
= $false )
| ( ( ~ ! [SY981: $i] :
( ~ ( SV102 @ SY981 )
| ( SV243 = SY981 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV208
= ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1904]) ).
thf(1945,plain,
! [SV203: $i,SV36: $i > $o,SV244: $i,SV102: $i > $o] :
( ( ( SV102 @ SV244 )
= $false )
| ( ( ~ ! [SY982: $i] :
( ~ ( SV102 @ SY982 )
| ( SV244 = SY982 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1905]) ).
thf(1946,plain,
! [SV203: $i,SV36: $i > $o,SV237: $i,SV102: $i > $o] :
( ( ( ! [SY975: $i] :
( ~ ( SV102 @ SY975 )
| ( SV237 = SY975 ) ) )
= $false )
| ( ( SV102 @ SV237 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV203
= ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1906]) ).
thf(1947,plain,
! [SV204: $i,SV36: $i > $o,SV245: $i,SV102: $i > $o] :
( ( ( SV102 @ SV245 )
= $false )
| ( ( ~ ! [SY983: $i] :
( ~ ( SV102 @ SY983 )
| ( SV245 = SY983 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1907]) ).
thf(1948,plain,
! [SV204: $i,SV36: $i > $o,SV238: $i,SV102: $i > $o] :
( ( ( ! [SY976: $i] :
( ~ ( SV102 @ SY976 )
| ( SV238 = SY976 ) ) )
= $false )
| ( ( SV102 @ SV238 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV204
= ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1908]) ).
thf(1949,plain,
! [SV200: $i,SV36: $i > $o,SV239: $i,SV102: $i > $o] :
( ( ( ! [SY977: $i] :
( ~ ( SV102 @ SY977 )
| ( SV239 = SY977 ) ) )
= $false )
| ( ( SV102 @ SV239 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1909]) ).
thf(1950,plain,
! [SV236: $i,SV36: $i > $o,SV200: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK111_SY974 @ SV200 @ SV36 @ SV236 @ SV102 ) )
| ( SV236
= ( sK111_SY974 @ SV200 @ SV36 @ SV236 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV236 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV200
= ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1910]) ).
thf(1951,plain,
! [SV38: $i > $o,SV228: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK109_SY788 @ SV228 @ SV38 @ SV104 ) )
| ~ ! [SY998: $i] :
( ~ ( SV104 @ SY998 )
| ( ( sK109_SY788 @ SV228 @ SV38 @ SV104 )
= SY998 ) ) )
= $false )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV38 @ ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1911]) ).
thf(1952,plain,
! [SV38: $i > $o,SV228: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK103_SY788 @ SV228 @ SV38 @ SV104 ) ) )
= $false )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV228
= ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1912]) ).
thf(1953,plain,
! [SV38: $i > $o,SV228: $i,SV104: $i > $o] :
( ( ( ~ ! [SY992: $i] :
( ~ ( SV104 @ SY992 )
| ( ( sK103_SY788 @ SV228 @ SV38 @ SV104 )
= SY992 ) ) )
= $false )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV228
= ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1912]) ).
thf(1954,plain,
! [SV104: $i > $o,SV229: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK110_SY638 @ SV229 @ SV104 @ SV38 ) )
| ~ ! [SY999: $i] :
( ~ ( SV38 @ SY999 )
| ( ( sK110_SY638 @ SV229 @ SV104 @ SV38 )
= SY999 ) ) )
= $false )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV104 @ ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1913]) ).
thf(1955,plain,
! [SV104: $i > $o,SV229: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK104_SY638 @ SV229 @ SV104 @ SV38 ) ) )
= $false )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV229
= ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1914]) ).
thf(1956,plain,
! [SV104: $i > $o,SV229: $i,SV38: $i > $o] :
( ( ( ~ ! [SY993: $i] :
( ~ ( SV38 @ SY993 )
| ( ( sK104_SY638 @ SV229 @ SV104 @ SV38 )
= SY993 ) ) )
= $false )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV229
= ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1914]) ).
thf(1957,plain,
! [SV38: $i > $o,SV222: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK105_SY788 @ SV222 @ SV38 @ SV104 ) ) )
= $false )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV38 @ ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1915]) ).
thf(1958,plain,
! [SV38: $i > $o,SV222: $i,SV104: $i > $o] :
( ( ( ~ ! [SY994: $i] :
( ~ ( SV104 @ SY994 )
| ( ( sK105_SY788 @ SV222 @ SV38 @ SV104 )
= SY994 ) ) )
= $false )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV38 @ ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1915]) ).
thf(1959,plain,
! [SV38: $i > $o,SV222: $i,SV104: $i > $o] :
( ( ( SV104 @ ( sK97_SY788 @ SV222 @ SV38 @ SV104 ) )
= $true )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV222
= ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1916]) ).
thf(1960,plain,
! [SV38: $i > $o,SV222: $i,SV104: $i > $o] :
( ( ( ! [SY984: $i] :
( ~ ( SV104 @ SY984 )
| ( ( sK97_SY788 @ SV222 @ SV38 @ SV104 )
= SY984 ) ) )
= $true )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV222
= ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1917]) ).
thf(1961,plain,
! [SV104: $i > $o,SV223: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK106_SY638 @ SV223 @ SV104 @ SV38 ) ) )
= $false )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV104 @ ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1918]) ).
thf(1962,plain,
! [SV104: $i > $o,SV223: $i,SV38: $i > $o] :
( ( ( ~ ! [SY995: $i] :
( ~ ( SV38 @ SY995 )
| ( ( sK106_SY638 @ SV223 @ SV104 @ SV38 )
= SY995 ) ) )
= $false )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV104 @ ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1918]) ).
thf(1963,plain,
! [SV104: $i > $o,SV223: $i,SV38: $i > $o] :
( ( ( SV38 @ ( sK98_SY638 @ SV223 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV223
= ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1919]) ).
thf(1964,plain,
! [SV104: $i > $o,SV223: $i,SV38: $i > $o] :
( ( ( ! [SY985: $i] :
( ~ ( SV38 @ SY985 )
| ( ( sK98_SY638 @ SV223 @ SV104 @ SV38 )
= SY985 ) ) )
= $true )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV223
= ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1920]) ).
thf(1965,plain,
! [SV38: $i > $o,SV224: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK107_SY788 @ SV224 @ SV38 @ SV104 ) ) )
= $false )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV38 @ ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1921]) ).
thf(1966,plain,
! [SV38: $i > $o,SV224: $i,SV104: $i > $o] :
( ( ( ~ ! [SY996: $i] :
( ~ ( SV104 @ SY996 )
| ( ( sK107_SY788 @ SV224 @ SV38 @ SV104 )
= SY996 ) ) )
= $false )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV38 @ ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1921]) ).
thf(1967,plain,
! [SV38: $i > $o,SV224: $i,SV104: $i > $o] :
( ( ( SV104 @ ( sK99_SY788 @ SV224 @ SV38 @ SV104 ) )
= $true )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV224
= ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1922]) ).
thf(1968,plain,
! [SV38: $i > $o,SV224: $i,SV104: $i > $o] :
( ( ( ! [SY986: $i] :
( ~ ( SV104 @ SY986 )
| ( ( sK99_SY788 @ SV224 @ SV38 @ SV104 )
= SY986 ) ) )
= $true )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV224
= ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1923]) ).
thf(1969,plain,
! [SV104: $i > $o,SV225: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK108_SY638 @ SV225 @ SV104 @ SV38 ) ) )
= $false )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV104 @ ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1924]) ).
thf(1970,plain,
! [SV104: $i > $o,SV225: $i,SV38: $i > $o] :
( ( ( ~ ! [SY997: $i] :
( ~ ( SV38 @ SY997 )
| ( ( sK108_SY638 @ SV225 @ SV104 @ SV38 )
= SY997 ) ) )
= $false )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV104 @ ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1924]) ).
thf(1971,plain,
! [SV104: $i > $o,SV225: $i,SV38: $i > $o] :
( ( ( SV38 @ ( sK100_SY638 @ SV225 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV225
= ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1925]) ).
thf(1972,plain,
! [SV104: $i > $o,SV225: $i,SV38: $i > $o] :
( ( ( ! [SY987: $i] :
( ~ ( SV38 @ SY987 )
| ( ( sK100_SY638 @ SV225 @ SV104 @ SV38 )
= SY987 ) ) )
= $true )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV225
= ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1926]) ).
thf(1973,plain,
! [SV38: $i > $o,SV215: $i,SV104: $i > $o] :
( ( ( SV104 @ ( sK101_SY788 @ SV215 @ SV38 @ SV104 ) )
= $true )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV38 @ ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1927]) ).
thf(1974,plain,
! [SV38: $i > $o,SV215: $i,SV104: $i > $o] :
( ( ( ! [SY988: $i] :
( ~ ( SV104 @ SY988 )
| ( ( sK101_SY788 @ SV215 @ SV38 @ SV104 )
= SY988 ) ) )
= $true )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV38 @ ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1928]) ).
thf(1975,plain,
! [SV38: $i > $o,SV215: $i,SV251: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV251 )
| ( ( sK94_SY788 @ SV215 @ SV38 @ SV104 )
= SV251 ) )
= $true )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV215
= ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1930]) ).
thf(1976,plain,
! [SV104: $i > $o,SV216: $i,SV38: $i > $o] :
( ( ( SV38 @ ( sK102_SY638 @ SV216 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV104 @ ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1931]) ).
thf(1977,plain,
! [SV104: $i > $o,SV216: $i,SV38: $i > $o] :
( ( ( ! [SY989: $i] :
( ~ ( SV38 @ SY989 )
| ( ( sK102_SY638 @ SV216 @ SV104 @ SV38 )
= SY989 ) ) )
= $true )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV104 @ ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1932]) ).
thf(1978,plain,
! [SV104: $i > $o,SV216: $i,SV252: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV252 )
| ( ( sK95_SY638 @ SV216 @ SV104 @ SV38 )
= SV252 ) )
= $true )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV216
= ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1934]) ).
thf(1979,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ~ ( in @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1936]) ).
thf(1980,plain,
! [SV211: $i,SV169: $i,SV55: $i] :
( ( ( ~ ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV169 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1936]) ).
thf(1981,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( ! [SY959: $i] :
~ ~ ( ~ ( in @ SY959 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SY959 @ SV169 ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1937]) ).
thf(1982,plain,
! [SV55: $i,SV169: $i,SV211: $i,SV248: $i,SV253: $i] :
( ( ( ~ ( in @ SV253 @ SV248 )
| ( in @ SV253 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) ) )
= $true )
| ( ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV248 )
= $true )
| ( ( in @ SV248 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1938]) ).
thf(1983,plain,
! [SV55: $i,SV169: $i,SV205: $i] :
( ( ( in @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1939]) ).
thf(1984,plain,
! [SV205: $i,SV169: $i,SV55: $i] :
( ( ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV169 )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1940]) ).
thf(1985,plain,
! [SV55: $i,SV169: $i,SV205: $i,SV254: $i] :
( ( ( ~ ~ ( ~ ( in @ SV254 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SV254 @ SV169 ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1941]) ).
thf(1986,plain,
! [SV55: $i,SV169: $i,SV205: $i,SV242: $i,SV250: $i] :
( ( ( ~ ( in @ SV250 @ SV242 ) )
= $true )
| ( ( in @ SV250 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
= $true )
| ( ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV242 )
= $true )
| ( ( in @ SV242 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1942]) ).
thf(1987,plain,
! [SV208: $i,SV36: $i > $o,SV249: $i,SV102: $i > $o] :
( ( ( SV102 @ SV249 )
= $false )
| ( ( ~ ! [SY991: $i] :
( ~ ( SV102 @ SY991 )
| ( SV249 = SY991 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1943]) ).
thf(1988,plain,
! [SV208: $i,SV36: $i > $o,SV243: $i,SV102: $i > $o] :
( ( ( ! [SY981: $i] :
( ~ ( SV102 @ SY981 )
| ( SV243 = SY981 ) ) )
= $false )
| ( ( SV102 @ SV243 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV208
= ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1944]) ).
thf(1989,plain,
! [SV203: $i,SV36: $i > $o,SV244: $i,SV102: $i > $o] :
( ( ( ! [SY982: $i] :
( ~ ( SV102 @ SY982 )
| ( SV244 = SY982 ) ) )
= $false )
| ( ( SV102 @ SV244 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1945]) ).
thf(1990,plain,
! [SV237: $i,SV36: $i > $o,SV203: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK112_SY975 @ SV203 @ SV36 @ SV237 @ SV102 ) )
| ( SV237
= ( sK112_SY975 @ SV203 @ SV36 @ SV237 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV237 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV203
= ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1946]) ).
thf(1991,plain,
! [SV204: $i,SV36: $i > $o,SV245: $i,SV102: $i > $o] :
( ( ( ! [SY983: $i] :
( ~ ( SV102 @ SY983 )
| ( SV245 = SY983 ) ) )
= $false )
| ( ( SV102 @ SV245 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1947]) ).
thf(1992,plain,
! [SV238: $i,SV36: $i > $o,SV204: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK113_SY976 @ SV204 @ SV36 @ SV238 @ SV102 ) )
| ( SV238
= ( sK113_SY976 @ SV204 @ SV36 @ SV238 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV238 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV204
= ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1948]) ).
thf(1993,plain,
! [SV239: $i,SV36: $i > $o,SV200: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK114_SY977 @ SV200 @ SV36 @ SV239 @ SV102 ) )
| ( SV239
= ( sK114_SY977 @ SV200 @ SV36 @ SV239 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV239 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1949]) ).
thf(1994,plain,
! [SV236: $i,SV36: $i > $o,SV200: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK111_SY974 @ SV200 @ SV36 @ SV236 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV236 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV200
= ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1950]) ).
thf(1995,plain,
! [SV102: $i > $o,SV36: $i > $o,SV200: $i,SV236: $i] :
( ( ( SV236
= ( sK111_SY974 @ SV200 @ SV36 @ SV236 @ SV102 ) )
= $false )
| ( ( SV102 @ SV236 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV200
= ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1950]) ).
thf(1996,plain,
! [SV38: $i > $o,SV228: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ ( sK109_SY788 @ SV228 @ SV38 @ SV104 ) ) )
= $false )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV38 @ ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1951]) ).
thf(1997,plain,
! [SV38: $i > $o,SV228: $i,SV104: $i > $o] :
( ( ( ~ ! [SY998: $i] :
( ~ ( SV104 @ SY998 )
| ( ( sK109_SY788 @ SV228 @ SV38 @ SV104 )
= SY998 ) ) )
= $false )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV38 @ ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1951]) ).
thf(1998,plain,
! [SV38: $i > $o,SV228: $i,SV104: $i > $o] :
( ( ( SV104 @ ( sK103_SY788 @ SV228 @ SV38 @ SV104 ) )
= $true )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV228
= ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1952]) ).
thf(1999,plain,
! [SV38: $i > $o,SV228: $i,SV104: $i > $o] :
( ( ( ! [SY992: $i] :
( ~ ( SV104 @ SY992 )
| ( ( sK103_SY788 @ SV228 @ SV38 @ SV104 )
= SY992 ) ) )
= $true )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV228
= ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1953]) ).
thf(2000,plain,
! [SV104: $i > $o,SV229: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ ( sK110_SY638 @ SV229 @ SV104 @ SV38 ) ) )
= $false )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV104 @ ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1954]) ).
thf(2001,plain,
! [SV104: $i > $o,SV229: $i,SV38: $i > $o] :
( ( ( ~ ! [SY999: $i] :
( ~ ( SV38 @ SY999 )
| ( ( sK110_SY638 @ SV229 @ SV104 @ SV38 )
= SY999 ) ) )
= $false )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV104 @ ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1954]) ).
thf(2002,plain,
! [SV104: $i > $o,SV229: $i,SV38: $i > $o] :
( ( ( SV38 @ ( sK104_SY638 @ SV229 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV229
= ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1955]) ).
thf(2003,plain,
! [SV104: $i > $o,SV229: $i,SV38: $i > $o] :
( ( ( ! [SY993: $i] :
( ~ ( SV38 @ SY993 )
| ( ( sK104_SY638 @ SV229 @ SV104 @ SV38 )
= SY993 ) ) )
= $true )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV229
= ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1956]) ).
thf(2004,plain,
! [SV38: $i > $o,SV222: $i,SV104: $i > $o] :
( ( ( SV104 @ ( sK105_SY788 @ SV222 @ SV38 @ SV104 ) )
= $true )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV38 @ ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1957]) ).
thf(2005,plain,
! [SV38: $i > $o,SV222: $i,SV104: $i > $o] :
( ( ( ! [SY994: $i] :
( ~ ( SV104 @ SY994 )
| ( ( sK105_SY788 @ SV222 @ SV38 @ SV104 )
= SY994 ) ) )
= $true )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV38 @ ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1958]) ).
thf(2006,plain,
! [SV38: $i > $o,SV222: $i,SV255: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV255 )
| ( ( sK97_SY788 @ SV222 @ SV38 @ SV104 )
= SV255 ) )
= $true )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV222
= ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1960]) ).
thf(2007,plain,
! [SV104: $i > $o,SV223: $i,SV38: $i > $o] :
( ( ( SV38 @ ( sK106_SY638 @ SV223 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV104 @ ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1961]) ).
thf(2008,plain,
! [SV104: $i > $o,SV223: $i,SV38: $i > $o] :
( ( ( ! [SY995: $i] :
( ~ ( SV38 @ SY995 )
| ( ( sK106_SY638 @ SV223 @ SV104 @ SV38 )
= SY995 ) ) )
= $true )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV104 @ ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1962]) ).
thf(2009,plain,
! [SV104: $i > $o,SV223: $i,SV256: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV256 )
| ( ( sK98_SY638 @ SV223 @ SV104 @ SV38 )
= SV256 ) )
= $true )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV223
= ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1964]) ).
thf(2010,plain,
! [SV38: $i > $o,SV224: $i,SV104: $i > $o] :
( ( ( SV104 @ ( sK107_SY788 @ SV224 @ SV38 @ SV104 ) )
= $true )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV38 @ ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1965]) ).
thf(2011,plain,
! [SV38: $i > $o,SV224: $i,SV104: $i > $o] :
( ( ( ! [SY996: $i] :
( ~ ( SV104 @ SY996 )
| ( ( sK107_SY788 @ SV224 @ SV38 @ SV104 )
= SY996 ) ) )
= $true )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV38 @ ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1966]) ).
thf(2012,plain,
! [SV38: $i > $o,SV224: $i,SV257: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV257 )
| ( ( sK99_SY788 @ SV224 @ SV38 @ SV104 )
= SV257 ) )
= $true )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV224
= ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1968]) ).
thf(2013,plain,
! [SV104: $i > $o,SV225: $i,SV38: $i > $o] :
( ( ( SV38 @ ( sK108_SY638 @ SV225 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV104 @ ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1969]) ).
thf(2014,plain,
! [SV104: $i > $o,SV225: $i,SV38: $i > $o] :
( ( ( ! [SY997: $i] :
( ~ ( SV38 @ SY997 )
| ( ( sK108_SY638 @ SV225 @ SV104 @ SV38 )
= SY997 ) ) )
= $true )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV104 @ ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1970]) ).
thf(2015,plain,
! [SV104: $i > $o,SV225: $i,SV258: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV258 )
| ( ( sK100_SY638 @ SV225 @ SV104 @ SV38 )
= SV258 ) )
= $true )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV225
= ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1972]) ).
thf(2016,plain,
! [SV38: $i > $o,SV215: $i,SV259: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV259 )
| ( ( sK101_SY788 @ SV215 @ SV38 @ SV104 )
= SV259 ) )
= $true )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV38 @ ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1974]) ).
thf(2017,plain,
! [SV38: $i > $o,SV215: $i,SV251: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV251 ) )
= $true )
| ( ( ( sK94_SY788 @ SV215 @ SV38 @ SV104 )
= SV251 )
= $true )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV215
= ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1975]) ).
thf(2018,plain,
! [SV104: $i > $o,SV216: $i,SV260: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV260 )
| ( ( sK102_SY638 @ SV216 @ SV104 @ SV38 )
= SV260 ) )
= $true )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV104 @ ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1977]) ).
thf(2019,plain,
! [SV104: $i > $o,SV216: $i,SV252: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV252 ) )
= $true )
| ( ( ( sK95_SY638 @ SV216 @ SV104 @ SV38 )
= SV252 )
= $true )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV216
= ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1978]) ).
thf(2020,plain,
! [SV55: $i,SV169: $i,SV211: $i] :
( ( ( in @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) @ ( sK2_SY683 @ SV55 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1979]) ).
thf(2021,plain,
! [SV211: $i,SV169: $i,SV55: $i] :
( ( ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV169 )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1980]) ).
thf(2022,plain,
! [SV55: $i,SV169: $i,SV211: $i,SV261: $i] :
( ( ( ~ ~ ( ~ ( in @ SV261 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SV261 @ SV169 ) ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1981]) ).
thf(2023,plain,
! [SV55: $i,SV169: $i,SV211: $i,SV248: $i,SV253: $i] :
( ( ( ~ ( in @ SV253 @ SV248 ) )
= $true )
| ( ( in @ SV253 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
= $true )
| ( ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV248 )
= $true )
| ( ( in @ SV248 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1982]) ).
thf(2024,plain,
! [SV55: $i,SV169: $i,SV205: $i,SV254: $i] :
( ( ( ~ ( ~ ( in @ SV254 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SV254 @ SV169 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1985]) ).
thf(2025,plain,
! [SV55: $i,SV169: $i,SV205: $i,SV242: $i,SV250: $i] :
( ( ( in @ SV250 @ SV242 )
= $false )
| ( ( in @ SV250 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
= $true )
| ( ( in @ ( sK78_SY952 @ SV55 @ SV169 @ SV205 ) @ SV242 )
= $true )
| ( ( in @ SV242 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1986]) ).
thf(2026,plain,
! [SV208: $i,SV36: $i > $o,SV249: $i,SV102: $i > $o] :
( ( ( ! [SY991: $i] :
( ~ ( SV102 @ SY991 )
| ( SV249 = SY991 ) ) )
= $false )
| ( ( SV102 @ SV249 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1987]) ).
thf(2027,plain,
! [SV243: $i,SV36: $i > $o,SV208: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK115_SY981 @ SV208 @ SV36 @ SV243 @ SV102 ) )
| ( SV243
= ( sK115_SY981 @ SV208 @ SV36 @ SV243 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV243 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV208
= ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1988]) ).
thf(2028,plain,
! [SV244: $i,SV36: $i > $o,SV203: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK116_SY982 @ SV203 @ SV36 @ SV244 @ SV102 ) )
| ( SV244
= ( sK116_SY982 @ SV203 @ SV36 @ SV244 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV244 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1989]) ).
thf(2029,plain,
! [SV237: $i,SV36: $i > $o,SV203: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK112_SY975 @ SV203 @ SV36 @ SV237 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV237 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV203
= ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1990]) ).
thf(2030,plain,
! [SV102: $i > $o,SV36: $i > $o,SV203: $i,SV237: $i] :
( ( ( SV237
= ( sK112_SY975 @ SV203 @ SV36 @ SV237 @ SV102 ) )
= $false )
| ( ( SV102 @ SV237 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV203
= ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1990]) ).
thf(2031,plain,
! [SV245: $i,SV36: $i > $o,SV204: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK117_SY983 @ SV204 @ SV36 @ SV245 @ SV102 ) )
| ( SV245
= ( sK117_SY983 @ SV204 @ SV36 @ SV245 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV245 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1991]) ).
thf(2032,plain,
! [SV238: $i,SV36: $i > $o,SV204: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK113_SY976 @ SV204 @ SV36 @ SV238 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV238 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV204
= ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1992]) ).
thf(2033,plain,
! [SV102: $i > $o,SV36: $i > $o,SV204: $i,SV238: $i] :
( ( ( SV238
= ( sK113_SY976 @ SV204 @ SV36 @ SV238 @ SV102 ) )
= $false )
| ( ( SV102 @ SV238 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV204
= ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1992]) ).
thf(2034,plain,
! [SV239: $i,SV36: $i > $o,SV200: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK114_SY977 @ SV200 @ SV36 @ SV239 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV239 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1993]) ).
thf(2035,plain,
! [SV102: $i > $o,SV36: $i > $o,SV200: $i,SV239: $i] :
( ( ( SV239
= ( sK114_SY977 @ SV200 @ SV36 @ SV239 @ SV102 ) )
= $false )
| ( ( SV102 @ SV239 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1993]) ).
thf(2036,plain,
! [SV236: $i,SV36: $i > $o,SV200: $i,SV102: $i > $o] :
( ( ( SV102 @ ( sK111_SY974 @ SV200 @ SV36 @ SV236 @ SV102 ) )
= $true )
| ( ( SV102 @ SV236 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV200
= ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1994]) ).
thf(2037,plain,
! [SV38: $i > $o,SV228: $i,SV104: $i > $o] :
( ( ( SV104 @ ( sK109_SY788 @ SV228 @ SV38 @ SV104 ) )
= $true )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV38 @ ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1996]) ).
thf(2038,plain,
! [SV38: $i > $o,SV228: $i,SV104: $i > $o] :
( ( ( ! [SY998: $i] :
( ~ ( SV104 @ SY998 )
| ( ( sK109_SY788 @ SV228 @ SV38 @ SV104 )
= SY998 ) ) )
= $true )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV38 @ ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1997]) ).
thf(2039,plain,
! [SV38: $i > $o,SV228: $i,SV262: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV262 )
| ( ( sK103_SY788 @ SV228 @ SV38 @ SV104 )
= SV262 ) )
= $true )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV228
= ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1999]) ).
thf(2040,plain,
! [SV104: $i > $o,SV229: $i,SV38: $i > $o] :
( ( ( SV38 @ ( sK110_SY638 @ SV229 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV104 @ ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2000]) ).
thf(2041,plain,
! [SV104: $i > $o,SV229: $i,SV38: $i > $o] :
( ( ( ! [SY999: $i] :
( ~ ( SV38 @ SY999 )
| ( ( sK110_SY638 @ SV229 @ SV104 @ SV38 )
= SY999 ) ) )
= $true )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV104 @ ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2001]) ).
thf(2042,plain,
! [SV104: $i > $o,SV229: $i,SV263: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV263 )
| ( ( sK104_SY638 @ SV229 @ SV104 @ SV38 )
= SV263 ) )
= $true )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV229
= ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2003]) ).
thf(2043,plain,
! [SV38: $i > $o,SV222: $i,SV264: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV264 )
| ( ( sK105_SY788 @ SV222 @ SV38 @ SV104 )
= SV264 ) )
= $true )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV38 @ ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2005]) ).
thf(2044,plain,
! [SV38: $i > $o,SV222: $i,SV255: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV255 ) )
= $true )
| ( ( ( sK97_SY788 @ SV222 @ SV38 @ SV104 )
= SV255 )
= $true )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV222
= ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2006]) ).
thf(2045,plain,
! [SV104: $i > $o,SV223: $i,SV265: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV265 )
| ( ( sK106_SY638 @ SV223 @ SV104 @ SV38 )
= SV265 ) )
= $true )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV104 @ ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2008]) ).
thf(2046,plain,
! [SV104: $i > $o,SV223: $i,SV256: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV256 ) )
= $true )
| ( ( ( sK98_SY638 @ SV223 @ SV104 @ SV38 )
= SV256 )
= $true )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV223
= ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2009]) ).
thf(2047,plain,
! [SV38: $i > $o,SV224: $i,SV266: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV266 )
| ( ( sK107_SY788 @ SV224 @ SV38 @ SV104 )
= SV266 ) )
= $true )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV38 @ ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2011]) ).
thf(2048,plain,
! [SV38: $i > $o,SV224: $i,SV257: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV257 ) )
= $true )
| ( ( ( sK99_SY788 @ SV224 @ SV38 @ SV104 )
= SV257 )
= $true )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV224
= ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2012]) ).
thf(2049,plain,
! [SV104: $i > $o,SV225: $i,SV267: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV267 )
| ( ( sK108_SY638 @ SV225 @ SV104 @ SV38 )
= SV267 ) )
= $true )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV104 @ ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2014]) ).
thf(2050,plain,
! [SV104: $i > $o,SV225: $i,SV258: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV258 ) )
= $true )
| ( ( ( sK100_SY638 @ SV225 @ SV104 @ SV38 )
= SV258 )
= $true )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV225
= ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2015]) ).
thf(2051,plain,
! [SV38: $i > $o,SV215: $i,SV259: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV259 ) )
= $true )
| ( ( ( sK101_SY788 @ SV215 @ SV38 @ SV104 )
= SV259 )
= $true )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV38 @ ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2016]) ).
thf(2052,plain,
! [SV38: $i > $o,SV215: $i,SV251: $i,SV104: $i > $o] :
( ( ( SV104 @ SV251 )
= $false )
| ( ( ( sK94_SY788 @ SV215 @ SV38 @ SV104 )
= SV251 )
= $true )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV215
= ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2017]) ).
thf(2053,plain,
! [SV104: $i > $o,SV216: $i,SV260: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV260 ) )
= $true )
| ( ( ( sK102_SY638 @ SV216 @ SV104 @ SV38 )
= SV260 )
= $true )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV104 @ ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2018]) ).
thf(2054,plain,
! [SV104: $i > $o,SV216: $i,SV252: $i,SV38: $i > $o] :
( ( ( SV38 @ SV252 )
= $false )
| ( ( ( sK95_SY638 @ SV216 @ SV104 @ SV38 )
= SV252 )
= $true )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV216
= ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2019]) ).
thf(2055,plain,
! [SV55: $i,SV169: $i,SV211: $i,SV261: $i] :
( ( ( ~ ( ~ ( in @ SV261 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SV261 @ SV169 ) ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2022]) ).
thf(2056,plain,
! [SV55: $i,SV169: $i,SV211: $i,SV248: $i,SV253: $i] :
( ( ( in @ SV253 @ SV248 )
= $false )
| ( ( in @ SV253 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
= $true )
| ( ( in @ ( sK82_SY958 @ SV55 @ SV169 @ SV211 ) @ SV248 )
= $true )
| ( ( in @ SV248 @ ( sK2_SY683 @ SV55 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2023]) ).
thf(2057,plain,
! [SV55: $i,SV169: $i,SV205: $i,SV254: $i] :
( ( ( ~ ( in @ SV254 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
| ~ ( in @ SV254 @ SV169 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2024]) ).
thf(2058,plain,
! [SV249: $i,SV36: $i > $o,SV208: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK118_SY991 @ SV208 @ SV36 @ SV249 @ SV102 ) )
| ( SV249
= ( sK118_SY991 @ SV208 @ SV36 @ SV249 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV249 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2026]) ).
thf(2059,plain,
! [SV243: $i,SV36: $i > $o,SV208: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK115_SY981 @ SV208 @ SV36 @ SV243 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV243 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV208
= ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2027]) ).
thf(2060,plain,
! [SV102: $i > $o,SV36: $i > $o,SV208: $i,SV243: $i] :
( ( ( SV243
= ( sK115_SY981 @ SV208 @ SV36 @ SV243 @ SV102 ) )
= $false )
| ( ( SV102 @ SV243 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV208
= ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2027]) ).
thf(2061,plain,
! [SV244: $i,SV36: $i > $o,SV203: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK116_SY982 @ SV203 @ SV36 @ SV244 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV244 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2028]) ).
thf(2062,plain,
! [SV102: $i > $o,SV36: $i > $o,SV203: $i,SV244: $i] :
( ( ( SV244
= ( sK116_SY982 @ SV203 @ SV36 @ SV244 @ SV102 ) )
= $false )
| ( ( SV102 @ SV244 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2028]) ).
thf(2063,plain,
! [SV237: $i,SV36: $i > $o,SV203: $i,SV102: $i > $o] :
( ( ( SV102 @ ( sK112_SY975 @ SV203 @ SV36 @ SV237 @ SV102 ) )
= $true )
| ( ( SV102 @ SV237 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV203
= ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2029]) ).
thf(2064,plain,
! [SV245: $i,SV36: $i > $o,SV204: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK117_SY983 @ SV204 @ SV36 @ SV245 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV245 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2031]) ).
thf(2065,plain,
! [SV102: $i > $o,SV36: $i > $o,SV204: $i,SV245: $i] :
( ( ( SV245
= ( sK117_SY983 @ SV204 @ SV36 @ SV245 @ SV102 ) )
= $false )
| ( ( SV102 @ SV245 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2031]) ).
thf(2066,plain,
! [SV238: $i,SV36: $i > $o,SV204: $i,SV102: $i > $o] :
( ( ( SV102 @ ( sK113_SY976 @ SV204 @ SV36 @ SV238 @ SV102 ) )
= $true )
| ( ( SV102 @ SV238 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV204
= ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2032]) ).
thf(2067,plain,
! [SV239: $i,SV36: $i > $o,SV200: $i,SV102: $i > $o] :
( ( ( SV102 @ ( sK114_SY977 @ SV200 @ SV36 @ SV239 @ SV102 ) )
= $true )
| ( ( SV102 @ SV239 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV200 )
= $false )
| ( ( SV36 @ ( sK72_SY931 @ SV102 @ SV200 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2034]) ).
thf(2068,plain,
! [SV38: $i > $o,SV228: $i,SV268: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV268 )
| ( ( sK109_SY788 @ SV228 @ SV38 @ SV104 )
= SV268 ) )
= $true )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV38 @ ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2038]) ).
thf(2069,plain,
! [SV38: $i > $o,SV228: $i,SV262: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV262 ) )
= $true )
| ( ( ( sK103_SY788 @ SV228 @ SV38 @ SV104 )
= SV262 )
= $true )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV228
= ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2039]) ).
thf(2070,plain,
! [SV104: $i > $o,SV229: $i,SV269: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV269 )
| ( ( sK110_SY638 @ SV229 @ SV104 @ SV38 )
= SV269 ) )
= $true )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV104 @ ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2041]) ).
thf(2071,plain,
! [SV104: $i > $o,SV229: $i,SV263: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV263 ) )
= $true )
| ( ( ( sK104_SY638 @ SV229 @ SV104 @ SV38 )
= SV263 )
= $true )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV229
= ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2042]) ).
thf(2072,plain,
! [SV38: $i > $o,SV222: $i,SV264: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV264 ) )
= $true )
| ( ( ( sK105_SY788 @ SV222 @ SV38 @ SV104 )
= SV264 )
= $true )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV38 @ ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2043]) ).
thf(2073,plain,
! [SV38: $i > $o,SV222: $i,SV255: $i,SV104: $i > $o] :
( ( ( SV104 @ SV255 )
= $false )
| ( ( ( sK97_SY788 @ SV222 @ SV38 @ SV104 )
= SV255 )
= $true )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV222
= ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2044]) ).
thf(2074,plain,
! [SV104: $i > $o,SV223: $i,SV265: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV265 ) )
= $true )
| ( ( ( sK106_SY638 @ SV223 @ SV104 @ SV38 )
= SV265 )
= $true )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV104 @ ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2045]) ).
thf(2075,plain,
! [SV104: $i > $o,SV223: $i,SV256: $i,SV38: $i > $o] :
( ( ( SV38 @ SV256 )
= $false )
| ( ( ( sK98_SY638 @ SV223 @ SV104 @ SV38 )
= SV256 )
= $true )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV223
= ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2046]) ).
thf(2076,plain,
! [SV38: $i > $o,SV224: $i,SV266: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV266 ) )
= $true )
| ( ( ( sK107_SY788 @ SV224 @ SV38 @ SV104 )
= SV266 )
= $true )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV38 @ ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2047]) ).
thf(2077,plain,
! [SV38: $i > $o,SV224: $i,SV257: $i,SV104: $i > $o] :
( ( ( SV104 @ SV257 )
= $false )
| ( ( ( sK99_SY788 @ SV224 @ SV38 @ SV104 )
= SV257 )
= $true )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV224
= ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2048]) ).
thf(2078,plain,
! [SV104: $i > $o,SV225: $i,SV267: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV267 ) )
= $true )
| ( ( ( sK108_SY638 @ SV225 @ SV104 @ SV38 )
= SV267 )
= $true )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV104 @ ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2049]) ).
thf(2079,plain,
! [SV104: $i > $o,SV225: $i,SV258: $i,SV38: $i > $o] :
( ( ( SV38 @ SV258 )
= $false )
| ( ( ( sK100_SY638 @ SV225 @ SV104 @ SV38 )
= SV258 )
= $true )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV225
= ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2050]) ).
thf(2080,plain,
! [SV38: $i > $o,SV215: $i,SV259: $i,SV104: $i > $o] :
( ( ( SV104 @ SV259 )
= $false )
| ( ( ( sK101_SY788 @ SV215 @ SV38 @ SV104 )
= SV259 )
= $true )
| ( ( SV38 @ SV215 )
= $false )
| ( ( SV38 @ ( sK83_SY944 @ SV104 @ SV215 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2051]) ).
thf(2081,plain,
! [SV104: $i > $o,SV216: $i,SV260: $i,SV38: $i > $o] :
( ( ( SV38 @ SV260 )
= $false )
| ( ( ( sK102_SY638 @ SV216 @ SV104 @ SV38 )
= SV260 )
= $true )
| ( ( SV104 @ SV216 )
= $false )
| ( ( SV104 @ ( sK84_SY945 @ SV38 @ SV216 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2053]) ).
thf(2082,plain,
! [SV55: $i,SV169: $i,SV211: $i,SV261: $i] :
( ( ( ~ ( in @ SV261 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
| ~ ( in @ SV261 @ SV169 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2055]) ).
thf(2083,plain,
! [SV55: $i,SV169: $i,SV205: $i,SV254: $i] :
( ( ( ~ ( in @ SV254 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) ) )
= $true )
| ( ( ~ ( in @ SV254 @ SV169 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2057]) ).
thf(2084,plain,
! [SV249: $i,SV36: $i > $o,SV208: $i,SV102: $i > $o] :
( ( ( ~ ( SV102 @ ( sK118_SY991 @ SV208 @ SV36 @ SV249 @ SV102 ) ) )
= $false )
| ( ( SV102 @ SV249 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2058]) ).
thf(2085,plain,
! [SV102: $i > $o,SV36: $i > $o,SV208: $i,SV249: $i] :
( ( ( SV249
= ( sK118_SY991 @ SV208 @ SV36 @ SV249 @ SV102 ) )
= $false )
| ( ( SV102 @ SV249 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2058]) ).
thf(2086,plain,
! [SV243: $i,SV36: $i > $o,SV208: $i,SV102: $i > $o] :
( ( ( SV102 @ ( sK115_SY981 @ SV208 @ SV36 @ SV243 @ SV102 ) )
= $true )
| ( ( SV102 @ SV243 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV208
= ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $false )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2059]) ).
thf(2087,plain,
! [SV244: $i,SV36: $i > $o,SV203: $i,SV102: $i > $o] :
( ( ( SV102 @ ( sK116_SY982 @ SV203 @ SV36 @ SV244 @ SV102 ) )
= $true )
| ( ( SV102 @ SV244 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV203 )
= $false )
| ( ( SV36 @ ( sK73_SY936 @ SV102 @ SV203 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2061]) ).
thf(2088,plain,
! [SV245: $i,SV36: $i > $o,SV204: $i,SV102: $i > $o] :
( ( ( SV102 @ ( sK117_SY983 @ SV204 @ SV36 @ SV245 @ SV102 ) )
= $true )
| ( ( SV102 @ SV245 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV204 )
= $false )
| ( ( SV36 @ ( sK74_SY937 @ SV102 @ SV204 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $false )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2064]) ).
thf(2089,plain,
! [SV38: $i > $o,SV228: $i,SV268: $i,SV104: $i > $o] :
( ( ( ~ ( SV104 @ SV268 ) )
= $true )
| ( ( ( sK109_SY788 @ SV228 @ SV38 @ SV104 )
= SV268 )
= $true )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV38 @ ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2068]) ).
thf(2090,plain,
! [SV38: $i > $o,SV228: $i,SV262: $i,SV104: $i > $o] :
( ( ( SV104 @ SV262 )
= $false )
| ( ( ( sK103_SY788 @ SV228 @ SV38 @ SV104 )
= SV262 )
= $true )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV228
= ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2069]) ).
thf(2091,plain,
! [SV104: $i > $o,SV229: $i,SV269: $i,SV38: $i > $o] :
( ( ( ~ ( SV38 @ SV269 ) )
= $true )
| ( ( ( sK110_SY638 @ SV229 @ SV104 @ SV38 )
= SV269 )
= $true )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV104 @ ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2070]) ).
thf(2092,plain,
! [SV104: $i > $o,SV229: $i,SV263: $i,SV38: $i > $o] :
( ( ( SV38 @ SV263 )
= $false )
| ( ( ( sK104_SY638 @ SV229 @ SV104 @ SV38 )
= SV263 )
= $true )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV229
= ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $false )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2071]) ).
thf(2093,plain,
! [SV38: $i > $o,SV222: $i,SV264: $i,SV104: $i > $o] :
( ( ( SV104 @ SV264 )
= $false )
| ( ( ( sK105_SY788 @ SV222 @ SV38 @ SV104 )
= SV264 )
= $true )
| ( ( SV38 @ SV222 )
= $false )
| ( ( SV38 @ ( sK86_SY948 @ SV104 @ SV222 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2072]) ).
thf(2094,plain,
! [SV104: $i > $o,SV223: $i,SV265: $i,SV38: $i > $o] :
( ( ( SV38 @ SV265 )
= $false )
| ( ( ( sK106_SY638 @ SV223 @ SV104 @ SV38 )
= SV265 )
= $true )
| ( ( SV104 @ SV223 )
= $false )
| ( ( SV104 @ ( sK87_SY949 @ SV38 @ SV223 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2074]) ).
thf(2095,plain,
! [SV38: $i > $o,SV224: $i,SV266: $i,SV104: $i > $o] :
( ( ( SV104 @ SV266 )
= $false )
| ( ( ( sK107_SY788 @ SV224 @ SV38 @ SV104 )
= SV266 )
= $true )
| ( ( SV38 @ SV224 )
= $false )
| ( ( SV38 @ ( sK88_SY950 @ SV104 @ SV224 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2076]) ).
thf(2096,plain,
! [SV104: $i > $o,SV225: $i,SV267: $i,SV38: $i > $o] :
( ( ( SV38 @ SV267 )
= $false )
| ( ( ( sK108_SY638 @ SV225 @ SV104 @ SV38 )
= SV267 )
= $true )
| ( ( SV104 @ SV225 )
= $false )
| ( ( SV104 @ ( sK89_SY951 @ SV38 @ SV225 @ SV104 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $false )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2078]) ).
thf(2097,plain,
! [SV55: $i,SV169: $i,SV211: $i,SV261: $i] :
( ( ( ~ ( in @ SV261 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) ) )
= $true )
| ( ( ~ ( in @ SV261 @ SV169 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2082]) ).
thf(2098,plain,
! [SV55: $i,SV169: $i,SV205: $i,SV254: $i] :
( ( ( in @ SV254 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
= $false )
| ( ( ~ ( in @ SV254 @ SV169 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2083]) ).
thf(2099,plain,
! [SV249: $i,SV36: $i > $o,SV208: $i,SV102: $i > $o] :
( ( ( SV102 @ ( sK118_SY991 @ SV208 @ SV36 @ SV249 @ SV102 ) )
= $true )
| ( ( SV102 @ SV249 )
= $false )
| ( ( ( descr
@ ^ [SY624: $i] : ( SV36 @ SY624 ) )
= ( descr
@ ^ [SY781: $i] : ( SV102 @ SY781 ) ) )
= $true )
| ( ( SV36 @ SV208 )
= $false )
| ( ( SV36 @ ( sK79_SY941 @ SV102 @ SV208 @ SV36 ) )
= $true )
| ( ( SV36 @ ( sK10_SY774 @ SV102 @ SV36 ) )
= $true )
| ( ( SV102 @ ( sK16_SY867 @ SV36 @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2084]) ).
thf(2100,plain,
! [SV38: $i > $o,SV228: $i,SV268: $i,SV104: $i > $o] :
( ( ( SV104 @ SV268 )
= $false )
| ( ( ( sK109_SY788 @ SV228 @ SV38 @ SV104 )
= SV268 )
= $true )
| ( ( SV38 @ SV228 )
= $false )
| ( ( SV38 @ ( sK91_SY956 @ SV104 @ SV228 @ SV38 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2089]) ).
thf(2101,plain,
! [SV104: $i > $o,SV229: $i,SV269: $i,SV38: $i > $o] :
( ( ( SV38 @ SV269 )
= $false )
| ( ( ( sK110_SY638 @ SV229 @ SV104 @ SV38 )
= SV269 )
= $true )
| ( ( SV104 @ SV229 )
= $false )
| ( ( SV104 @ ( sK92_SY957 @ SV38 @ SV229 @ SV104 ) )
= $true )
| ( ( SV38 @ ( sK11_SY784 @ SV104 @ SV38 ) )
= $true )
| ( ( SV104 @ ( sK17_SY869 @ SV38 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2091]) ).
thf(2102,plain,
! [SV55: $i,SV169: $i,SV211: $i,SV261: $i] :
( ( ( in @ SV261 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
= $false )
| ( ( ~ ( in @ SV261 @ SV169 ) )
= $true )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2097]) ).
thf(2103,plain,
! [SV55: $i,SV205: $i,SV169: $i,SV254: $i] :
( ( ( in @ SV254 @ SV169 )
= $false )
| ( ( in @ SV254 @ ( sK70_SY890 @ SV205 @ SV169 @ SV55 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV55 )
= $false )
| ( ( in @ SV205 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2098]) ).
thf(2104,plain,
! [SV55: $i,SV211: $i,SV169: $i,SV261: $i] :
( ( ( in @ SV261 @ SV169 )
= $false )
| ( ( in @ SV261 @ ( sK71_SY890 @ SV211 @ SV169 @ SV55 ) )
= $false )
| ( ( in @ ( sK52_SY888 @ SV55 @ SV169 ) @ SV169 )
= $true )
| ( ( in @ SV211 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2102]) ).
thf(2105,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[96,2104,2103,2101,2100,2099,2096,2095,2094,2093,2092,2090,2088,2087,2086,2085,2081,2080,2079,2077,2075,2073,2067,2066,2065,2063,2062,2060,2056,2054,2052,2040,2037,2036,2035,2033,2030,2025,2021,2020,2013,2010,2007,2004,2002,1998,1995,1984,1983,1976,1973,1971,1967,1963,1959,1935,1933,1929,1902,1895,1894,1874,1873,1864,1863,1861,1860,1853,1834,1832,1822,1821,1818,1817,1778,1746,1743,1708,1704,1650,1621,1593,1565,1564,1563,1539,1533,1532,1531,1523,1522,1521,1502,1501,1489,1484,1483,1482,1479,1477,1460,1450,1448,1441,1440,1413,1412,1409,1403,1393,1392,1383,1363,1361,1360,1357,1334,1330,1313,1309,1255,1254,1217,1216,1191,1175,1174,1170,1169,1168,1166,1164,1163,1160,1141,1140,1139,1138,1134,1109,1103,1102,1101,1088,1081,1080,1079,1077,1076,1074,1073,1053,1052,1042,1041,1028,1014,1011,1008,990,989,987,983,981,952,937,936,935,929,924,923,909,899,898,897,896,880,879,875,873,872,870,869,867,858,817,797,796,795,781,780,738,729,725,717,714,712,707,705,703,702,684,666,659,651,649,639,637,616,604,590,589,582,559,543,538,535,529,528,527,521,500,497,494,492,491,490,484,483,457,440,439,438,424,423,422,403,326,325,324,323,322,243,242,241,238,162,138,100]) ).
thf(2106,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[2105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU565^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.17 % Computer : n009.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Oct 6 15:28:17 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.15/2.28
% 12.15/2.28 No.of.Axioms: 0
% 12.15/2.28
% 12.15/2.28 Length.of.Defs: 17011
% 12.15/2.28
% 12.15/2.28 Contains.Choice.Funs: true
% 12.15/2.28 .....................................................................
% 12.15/2.28
% 12.15/2.28 ********************************
% 12.15/2.28 * All subproblems solved! *
% 12.15/2.28 ********************************
% 12.15/2.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:81,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:2105,loop_count:0,foatp_calls:1,translation:fof_full)
% 12.15/2.28
% 12.15/2.28 %**** Beginning of derivation protocol ****
% 12.15/2.28 % SZS output start CNFRefutation
% See solution above
% 2.28/2.30
% 2.28/2.30 %**** End of derivation protocol ****
% 2.28/2.30 %**** no. of clauses in derivation: 2106 ****
% 2.28/2.30 %**** clause counter: 2105 ****
% 2.28/2.30
% 2.28/2.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:81,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:2105,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------