%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU557^1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 10:45:03 AM UTC 2026
% Result : Theorem 131.20s 26.51s
% Output : CNFRefutation 131.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 76
% Syntax : Number of formulae : 2615 ( 530 unt; 0 typ; 75 def)
% Number of atoms : 23680 (12100 equ; 0 cnn)
% Maximal formula atoms : 77 ( 9 avg)
% Number of connectives : 40341 (8723 ~;8219 |; 35 &;23076 @)
% ( 16 <=>; 272 =>; 0 <=; 0 <~>)
% Maximal formula depth : 82 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1795 (1795 >; 0 *; 0 +; 0 <<)
% Number of symbols : 187 ( 184 usr; 80 con; 0-4 aty)
% Number of variables : 10124 (2495 ^;7601 !; 28 ?;10124 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_descr,type,
descr: ( $i > $o ) > $i ).
thf(tp_descrp,type,
descrp: $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_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_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_sK10_SY235,type,
sK10_SY235: ( $i > $i > $o ) > $i > $i ).
thf(tp_sK11_SY244,type,
sK11_SY244: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK12_SY68,type,
sK12_SY68: $i > $i ).
thf(tp_sK13_SY95,type,
sK13_SY95: $i > $i ).
thf(tp_sK14_SY292,type,
sK14_SY292: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK15_SY196,type,
sK15_SY196: ( $i > $o ) > $i > $i ).
thf(tp_sK16_SY286,type,
sK16_SY286: $i > ( $i > $o ) > $i ).
thf(tp_sK17_SY221,type,
sK17_SY221: ( $i > $o ) > $i > $i ).
thf(tp_sK18_SY283,type,
sK18_SY283: $o > $i > $i > $i ).
thf(tp_sK19_SX0,type,
sK19_SX0: $i > $i > $i ).
thf(tp_sK1_Xphi,type,
sK1_Xphi: $i > $o ).
thf(tp_sK20_SX0,type,
sK20_SX0: $i > $i > $i ).
thf(tp_sK21_SY226,type,
sK21_SY226: $i > $i > $i ).
thf(tp_sK22_SY127,type,
sK22_SY127: $i > $i ).
thf(tp_sK23_SY130,type,
sK23_SY130: $i > $i > $i ).
thf(tp_sK24_SX0,type,
sK24_SX0: $i ).
thf(tp_sK25_SY198,type,
sK25_SY198: $i > $i > $i ).
thf(tp_sK26_SY60,type,
sK26_SY60: $i > ( $i > $o ) > $i ).
thf(tp_sK27_SY215,type,
sK27_SY215: $i > $i > $i ).
thf(tp_sK28_SY238,type,
sK28_SY238: ( $i > $i > $o ) > $i > $i ).
thf(tp_sK29_SY195,type,
sK29_SY195: $i > ( $i > $o ) > $i > $i ).
thf(tp_sK2_SY0,type,
sK2_SY0: $i > $o ).
thf(tp_sK30_SY307,type,
sK30_SY307: $i > ( $i > $o ) > $i ).
thf(tp_sK31_SY215,type,
sK31_SY215: $i > $i > $i ).
thf(tp_sK32_SY219,type,
sK32_SY219: $i > ( $i > $o ) > $i > $i ).
thf(tp_sK33_SY280,type,
sK33_SY280: $i > ( $i > $o ) > $i ).
thf(tp_sK34_SY282,type,
sK34_SY282: $i > ( $i > $o ) > $i ).
thf(tp_sK35_SY284,type,
sK35_SY284: $i > ( $i > $o ) > $i ).
thf(tp_sK36_SY285,type,
sK36_SY285: $i > ( $i > $o ) > $i ).
thf(tp_sK37_SY288,type,
sK37_SY288: $i > ( $i > $o ) > $i ).
thf(tp_sK38_SY293,type,
sK38_SY293: $i > ( $i > $o ) > $i ).
thf(tp_sK39_SY294,type,
sK39_SY294: $i > ( $i > $o ) > $i ).
thf(tp_sK3_SY166,type,
sK3_SY166: $i > $i ).
thf(tp_sK40_SX0,type,
sK40_SX0: $i ).
thf(tp_sK41_SY36,type,
sK41_SY36: $i > ( $i > $o ) > $i ).
thf(tp_sK42_SY57,type,
sK42_SY57: $i > ( $i > $o ) > $i ).
thf(tp_sK43_SY62,type,
sK43_SY62: $i > ( $i > $o ) > $i ).
thf(tp_sK44_SY62,type,
sK44_SY62: $i > ( $i > $o ) > $i ).
thf(tp_sK45_SY211,type,
sK45_SY211: $i > ( $i > $o ) > $i > $i ).
thf(tp_sK46_SY101,type,
sK46_SY101: $i > ( $i > $o ) > $i ).
thf(tp_sK47_SY298,type,
sK47_SY298: $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK48_SY161,type,
sK48_SY161: $i > ( $i > $o ) > $i ).
thf(tp_sK49_SY300,type,
sK49_SY300: $i > $i > $i ).
thf(tp_sK4_SY70,type,
sK4_SY70: $i > $i ).
thf(tp_sK50_SY36,type,
sK50_SY36: $i > ( $i > $o ) > $i ).
thf(tp_sK51_SY57,type,
sK51_SY57: $i > ( $i > $o ) > $i ).
thf(tp_sK52_SY62,type,
sK52_SY62: $i > ( $i > $o ) > $i ).
thf(tp_sK53_SY85,type,
sK53_SY85: $i > ( $i > $o ) > $i ).
thf(tp_sK54_SY101,type,
sK54_SY101: $i > ( $i > $o ) > $i ).
thf(tp_sK55_SY161,type,
sK55_SY161: $i > ( $i > $o ) > $i ).
thf(tp_sK56_SY85,type,
sK56_SY85: $i > ( $i > $o ) > $i ).
thf(tp_sK57_SY85,type,
sK57_SY85: $i > ( $i > $o ) > $i ).
thf(tp_sK58_SY85,type,
sK58_SY85: $i > ( $i > $o ) > $i ).
thf(tp_sK59_SY238,type,
sK59_SY238: $i > ( $i > $i > $o ) > $i > $i ).
thf(tp_sK5_SY94,type,
sK5_SY94: $i > $i ).
thf(tp_sK60_SY311,type,
sK60_SY311: $i > ( $i > $i > $o ) > $i > $i ).
thf(tp_sK61_SY238,type,
sK61_SY238: $i > ( $i > $i > $o ) > $i > $i ).
thf(tp_sK62_SY336,type,
sK62_SY336: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK63_SY337,type,
sK63_SY337: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK64_SY302,type,
sK64_SY302: $i > $i > $i > $i ).
thf(tp_sK65_SY302,type,
sK65_SY302: $i > $i > $i > $i ).
thf(tp_sK66_SY248,type,
sK66_SY248: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK67_SY157,type,
sK67_SY157: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK68_SY338,type,
sK68_SY338: $i > $i > $i > $i ).
thf(tp_sK69_SY358,type,
sK69_SY358: $i > $i > $i > $i ).
thf(tp_sK6_SY207,type,
sK6_SY207: $i > $i > $i ).
thf(tp_sK70_SY248,type,
sK70_SY248: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK71_SY157,type,
sK71_SY157: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK72_SY364,type,
sK72_SY364: $i > $i > $i > $i ).
thf(tp_sK73_SY348,type,
sK73_SY348: $i > $i > ( $i > $i > $o ) > $i > $i ).
thf(tp_sK74_SY352,type,
sK74_SY352: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK75_SY353,type,
sK75_SY353: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK76_SY350,type,
sK76_SY350: $i > $i > ( $i > $i > $o ) > $i > $i ).
thf(tp_sK77_SY354,type,
sK77_SY354: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK78_SY355,type,
sK78_SY355: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK79_SY356,type,
sK79_SY356: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK7_SY208,type,
sK7_SY208: ( $i > $o ) > $i > $i ).
thf(tp_sK80_SY357,type,
sK80_SY357: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK81_SY362,type,
sK81_SY362: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK82_SY363,type,
sK82_SY363: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK83_SY248,type,
sK83_SY248: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK84_SY157,type,
sK84_SY157: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK85_SY248,type,
sK85_SY248: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK86_SY157,type,
sK86_SY157: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK87_SY248,type,
sK87_SY248: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK88_SY157,type,
sK88_SY157: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK89_SY248,type,
sK89_SY248: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK8_SY214,type,
sK8_SY214: $i > $i > $i ).
thf(tp_sK90_SY157,type,
sK90_SY157: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK91_SY248,type,
sK91_SY248: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK92_SY157,type,
sK92_SY157: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK93_SY248,type,
sK93_SY248: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK94_SY157,type,
sK94_SY157: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK95_SY248,type,
sK95_SY248: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK96_SY157,type,
sK96_SY157: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK97_SY248,type,
sK97_SY248: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK98_SY157,type,
sK98_SY157: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK99_E,type,
sK99_E: $i ).
thf(tp_sK9_SY234,type,
sK9_SY234: $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_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_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(descrp,definition,
( descrp
= ( ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ( Xphi
@ ( descr
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dsetconstrI) ).
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/sandbox2/benchmark/theBenchmark.p',emptyE1) ).
thf(emptyI,definition,
( emptyI
= ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyI) ).
thf(emptyInPowerset,definition,
( emptyInPowerset
= ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyInPowerset) ).
thf(emptyinPowerset,definition,
( emptyinPowerset
= ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyinPowerset) ).
thf(emptyinunitempty,definition,
( emptyinunitempty
= ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyinunitempty) ).
thf(emptysetAx,definition,
( emptysetAx
= ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetAx) ).
thf(emptysetE,definition,
( emptysetE
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetE) ).
thf(emptyset__Cong,definition,
( emptyset__Cong
= ( emptyset = emptyset ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyset__Cong) ).
thf(emptysetimpfalse,definition,
( emptysetimpfalse
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> $false ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetimpfalse) ).
thf(eqinunit,definition,
( eqinunit
= ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eqinunit) ).
thf(exu,definition,
( exu
= ( ^ [Xphi: $i > $o] :
? [Xx: $i] :
( ( Xphi @ Xx )
& ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',exuE2) ).
thf(exuE3e,definition,
( exuE3e
= ( ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ? [Xx: $i] : ( Xphi @ Xx ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',in__Cong) ).
thf(noeltsimpempty,definition,
( noeltsimpempty
= ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noeltsimpempty) ).
thf(nonempty,definition,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonempty) ).
thf(nonemptyE1,definition,
( nonemptyE1
= ( ! [A: $i] :
( ( nonempty @ A )
=> ? [Xx: $i] : ( in @ Xx @ A ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',nonemptyI) ).
thf(nonemptyI1,definition,
( nonemptyI1
= ( ! [A: $i] :
( ? [Xx: $i] : ( in @ Xx @ A )
=> ( nonempty @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonemptyI1) ).
thf(nonemptyImpWitness,definition,
( nonemptyImpWitness
= ( ! [A: $i] :
( ( nonempty @ A )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& $true ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',notdexE) ).
thf(notinemptyset,definition,
( notinemptyset
= ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinemptyset) ).
thf(notinsingleton,definition,
( notinsingleton
= ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
=> ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinsingleton) ).
thf(omega0Ax,definition,
( omega0Ax
= ( in @ emptyset @ omega ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',omegaIndAx) ).
thf(omegaSAx,definition,
( omegaSAx
= ( ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaSAx) ).
thf(omega__Cong,definition,
( omega__Cong
= ( omega = omega ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',powersetI) ).
thf(powerset__Cong,definition,
( powerset__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( powerset @ A )
= ( powerset @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powerset__Cong) ).
thf(prop2set2propI,definition,
( prop2set2propI
= ( ! [Xphi: $o] :
( Xphi
=> ( set2prop @ ( prop2set @ Xphi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop2set2propI) ).
thf(prop2setE,definition,
( prop2setE
= ( ! [Xphi: $o,Xx: $i] :
( ( in @ Xx @ ( prop2set @ Xphi ) )
=> Xphi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop2setE) ).
thf(prop2setI,definition,
( prop2setI
= ( ! [Xphi: $o] :
( Xphi
=> ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',setadjoinE) ).
thf(setadjoinIL,definition,
( setadjoinIL
= ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',setextAx) ).
thf(setoftrueEq,definition,
( setoftrueEq
= ( ! [A: $i] :
( ( dsetconstr @ A
@ ^ [Xx: $i] : $true )
= A ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',setunionI) ).
thf(setunion__Cong,definition,
( setunion__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( setunion @ A )
= ( setunion @ B ) ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',singletonsswitch) ).
thf(subPowSU,definition,
( subPowSU
= ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subPowSU) ).
thf(uniqinunit,definition,
( uniqinunit
= ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',upairsetE) ).
thf(upairsetIL,definition,
( upairsetIL
= ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upairsetIL) ).
thf(upairsetIR,definition,
( upairsetIR
= ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upairsetIR) ).
thf(vacuousDall,definition,
( vacuousDall
= ( ! [Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ emptyset )
=> ( Xphi @ Xx ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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
=> ! [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/sandbox2/benchmark/theBenchmark.p',descr__Cong) ).
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
=> ! [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
setextAx = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(4,plain,
emptysetAx = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(5,plain,
setadjoinAx = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(6,plain,
powersetAx = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(7,plain,
setunionAx = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(8,plain,
omega0Ax = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(9,plain,
omegaSAx = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(10,plain,
omegaIndAx = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(11,plain,
replAx = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(12,plain,
foundationAx = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(13,plain,
wellorderingAx = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(14,plain,
descrp = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(15,plain,
dsetconstrI = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(16,plain,
dsetconstrEL = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(17,plain,
dsetconstrER = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(18,plain,
exuE1 = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(19,plain,
prop2setE = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(20,plain,
emptysetE = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(21,plain,
emptysetimpfalse = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(22,plain,
notinemptyset = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(23,plain,
exuE3e = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(24,plain,
setext = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(25,plain,
emptyI = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(26,plain,
noeltsimpempty = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(27,plain,
setbeta = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(28,plain,
nonemptyE1 = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(29,plain,
nonemptyI = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(30,plain,
nonemptyI1 = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(31,plain,
setadjoinIL = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(32,plain,
emptyinunitempty = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(33,plain,
setadjoinIR = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(34,plain,
setadjoinE = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(35,plain,
setadjoinOr = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(36,plain,
setoftrueEq = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(37,plain,
powersetI = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(38,plain,
emptyinPowerset = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(39,plain,
emptyInPowerset = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(40,plain,
powersetE = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(41,plain,
setunionI = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(42,plain,
setunionE = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(43,plain,
subPowSU = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(44,plain,
exuE2 = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(45,plain,
nonemptyImpWitness = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(46,plain,
uniqinunit = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(47,plain,
notinsingleton = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(48,plain,
eqinunit = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(49,plain,
singletonsswitch = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(50,plain,
upairsetE = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(51,plain,
upairsetIL = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(52,plain,
upairsetIR = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(53,plain,
emptyE1 = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(54,plain,
vacuousDall = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(55,plain,
quantDeMorgan1 = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(56,plain,
quantDeMorgan2 = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(57,plain,
quantDeMorgan3 = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(58,plain,
quantDeMorgan4 = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(59,plain,
prop2setI = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(60,plain,
prop2set2propI = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(61,plain,
notdexE = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(62,plain,
notdallE = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(63,plain,
exuI1 = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(64,plain,
exuI3 = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(65,plain,
exuI2 = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(66,plain,
inCongP = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(67,plain,
in__Cong = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(68,plain,
exuE3u = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(69,plain,
exu__Cong = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(71,plain,
setadjoin__Cong = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(72,plain,
powerset__Cong = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(73,plain,
setunion__Cong = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(75,plain,
exuEu = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(76,plain,
( ( ! [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 ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(77,plain,
( ( ~ ! [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 ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[76]) ).
thf(78,plain,
( ( ! [SY9: $i,SY10: $i] :
( ( SY9 != SY10 )
| ~ ( sK1_Xphi @ SY9 )
| ( sK2_SY0 @ SY10 ) )
& ! [SY11: $i,SY12: $i] :
( ( SY11 != SY12 )
| ~ ( sK2_SY0 @ SY12 )
| ( sK1_Xphi @ SY11 ) )
& ( exu
@ ^ [SY5: $i] : ( sK1_Xphi @ SY5 ) )
& ( exu
@ ^ [SY14: $i] : ( sK2_SY0 @ SY14 ) )
& ( ( descr
@ ^ [SY7: $i] : ( sK1_Xphi @ SY7 ) )
!= ( descr
@ ^ [SY16: $i] : ( sK2_SY0 @ SY16 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(79,plain,
exuEu = $true,
inference(copy,[status(thm)],[75]) ).
thf(81,plain,
setunion__Cong = $true,
inference(copy,[status(thm)],[73]) ).
thf(82,plain,
powerset__Cong = $true,
inference(copy,[status(thm)],[72]) ).
thf(83,plain,
setadjoin__Cong = $true,
inference(copy,[status(thm)],[71]) ).
thf(85,plain,
exu__Cong = $true,
inference(copy,[status(thm)],[69]) ).
thf(86,plain,
exuE3u = $true,
inference(copy,[status(thm)],[68]) ).
thf(87,plain,
in__Cong = $true,
inference(copy,[status(thm)],[67]) ).
thf(88,plain,
inCongP = $true,
inference(copy,[status(thm)],[66]) ).
thf(89,plain,
exuI2 = $true,
inference(copy,[status(thm)],[65]) ).
thf(90,plain,
exuI3 = $true,
inference(copy,[status(thm)],[64]) ).
thf(91,plain,
exuI1 = $true,
inference(copy,[status(thm)],[63]) ).
thf(92,plain,
notdallE = $true,
inference(copy,[status(thm)],[62]) ).
thf(93,plain,
notdexE = $true,
inference(copy,[status(thm)],[61]) ).
thf(94,plain,
prop2set2propI = $true,
inference(copy,[status(thm)],[60]) ).
thf(95,plain,
prop2setI = $true,
inference(copy,[status(thm)],[59]) ).
thf(96,plain,
quantDeMorgan4 = $true,
inference(copy,[status(thm)],[58]) ).
thf(97,plain,
quantDeMorgan3 = $true,
inference(copy,[status(thm)],[57]) ).
thf(98,plain,
quantDeMorgan2 = $true,
inference(copy,[status(thm)],[56]) ).
thf(99,plain,
quantDeMorgan1 = $true,
inference(copy,[status(thm)],[55]) ).
thf(100,plain,
vacuousDall = $true,
inference(copy,[status(thm)],[54]) ).
thf(101,plain,
emptyE1 = $true,
inference(copy,[status(thm)],[53]) ).
thf(102,plain,
upairsetIR = $true,
inference(copy,[status(thm)],[52]) ).
thf(103,plain,
upairsetIL = $true,
inference(copy,[status(thm)],[51]) ).
thf(104,plain,
upairsetE = $true,
inference(copy,[status(thm)],[50]) ).
thf(105,plain,
singletonsswitch = $true,
inference(copy,[status(thm)],[49]) ).
thf(106,plain,
eqinunit = $true,
inference(copy,[status(thm)],[48]) ).
thf(107,plain,
notinsingleton = $true,
inference(copy,[status(thm)],[47]) ).
thf(108,plain,
uniqinunit = $true,
inference(copy,[status(thm)],[46]) ).
thf(109,plain,
nonemptyImpWitness = $true,
inference(copy,[status(thm)],[45]) ).
thf(110,plain,
exuE2 = $true,
inference(copy,[status(thm)],[44]) ).
thf(111,plain,
subPowSU = $true,
inference(copy,[status(thm)],[43]) ).
thf(112,plain,
setunionE = $true,
inference(copy,[status(thm)],[42]) ).
thf(113,plain,
setunionI = $true,
inference(copy,[status(thm)],[41]) ).
thf(114,plain,
powersetE = $true,
inference(copy,[status(thm)],[40]) ).
thf(115,plain,
emptyInPowerset = $true,
inference(copy,[status(thm)],[39]) ).
thf(116,plain,
emptyinPowerset = $true,
inference(copy,[status(thm)],[38]) ).
thf(117,plain,
powersetI = $true,
inference(copy,[status(thm)],[37]) ).
thf(118,plain,
setoftrueEq = $true,
inference(copy,[status(thm)],[36]) ).
thf(119,plain,
setadjoinOr = $true,
inference(copy,[status(thm)],[35]) ).
thf(120,plain,
setadjoinE = $true,
inference(copy,[status(thm)],[34]) ).
thf(121,plain,
setadjoinIR = $true,
inference(copy,[status(thm)],[33]) ).
thf(122,plain,
emptyinunitempty = $true,
inference(copy,[status(thm)],[32]) ).
thf(123,plain,
setadjoinIL = $true,
inference(copy,[status(thm)],[31]) ).
thf(124,plain,
nonemptyI1 = $true,
inference(copy,[status(thm)],[30]) ).
thf(125,plain,
nonemptyI = $true,
inference(copy,[status(thm)],[29]) ).
thf(126,plain,
nonemptyE1 = $true,
inference(copy,[status(thm)],[28]) ).
thf(127,plain,
setbeta = $true,
inference(copy,[status(thm)],[27]) ).
thf(128,plain,
noeltsimpempty = $true,
inference(copy,[status(thm)],[26]) ).
thf(129,plain,
emptyI = $true,
inference(copy,[status(thm)],[25]) ).
thf(130,plain,
setext = $true,
inference(copy,[status(thm)],[24]) ).
thf(131,plain,
exuE3e = $true,
inference(copy,[status(thm)],[23]) ).
thf(132,plain,
notinemptyset = $true,
inference(copy,[status(thm)],[22]) ).
thf(133,plain,
emptysetimpfalse = $true,
inference(copy,[status(thm)],[21]) ).
thf(134,plain,
emptysetE = $true,
inference(copy,[status(thm)],[20]) ).
thf(135,plain,
prop2setE = $true,
inference(copy,[status(thm)],[19]) ).
thf(136,plain,
exuE1 = $true,
inference(copy,[status(thm)],[18]) ).
thf(137,plain,
dsetconstrER = $true,
inference(copy,[status(thm)],[17]) ).
thf(138,plain,
dsetconstrEL = $true,
inference(copy,[status(thm)],[16]) ).
thf(139,plain,
dsetconstrI = $true,
inference(copy,[status(thm)],[15]) ).
thf(140,plain,
descrp = $true,
inference(copy,[status(thm)],[14]) ).
thf(141,plain,
wellorderingAx = $true,
inference(copy,[status(thm)],[13]) ).
thf(142,plain,
foundationAx = $true,
inference(copy,[status(thm)],[12]) ).
thf(143,plain,
replAx = $true,
inference(copy,[status(thm)],[11]) ).
thf(144,plain,
omegaIndAx = $true,
inference(copy,[status(thm)],[10]) ).
thf(145,plain,
omegaSAx = $true,
inference(copy,[status(thm)],[9]) ).
thf(146,plain,
omega0Ax = $true,
inference(copy,[status(thm)],[8]) ).
thf(147,plain,
setunionAx = $true,
inference(copy,[status(thm)],[7]) ).
thf(148,plain,
powersetAx = $true,
inference(copy,[status(thm)],[6]) ).
thf(149,plain,
setadjoinAx = $true,
inference(copy,[status(thm)],[5]) ).
thf(150,plain,
emptysetAx = $true,
inference(copy,[status(thm)],[4]) ).
thf(151,plain,
setextAx = $true,
inference(copy,[status(thm)],[3]) ).
thf(152,plain,
( ( ! [SY9: $i,SY10: $i] :
( ( SY9 != SY10 )
| ~ ( sK1_Xphi @ SY9 )
| ( sK2_SY0 @ SY10 ) )
& ! [SY11: $i,SY12: $i] :
( ( SY11 != SY12 )
| ~ ( sK2_SY0 @ SY12 )
| ( sK1_Xphi @ SY11 ) )
& ( exu
@ ^ [SY5: $i] : ( sK1_Xphi @ SY5 ) )
& ( exu
@ ^ [SY14: $i] : ( sK2_SY0 @ SY14 ) )
& ( ( descr
@ ^ [SY7: $i] : ( sK1_Xphi @ SY7 ) )
!= ( descr
@ ^ [SY16: $i] : ( sK2_SY0 @ SY16 ) ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(153,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)],[86,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(154,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)],[83,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(155,plain,
( ( ! [SX0: $i] : ( in @ emptyset @ ( powerset @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(156,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)],[149,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(157,plain,
( ( ! [SX0: $o] :
( ~ SX0
| ( in @ emptyset @ ( prop2set @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(158,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX1 @ ( powerset @ SX0 ) )
| ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(159,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)],[99,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(160,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)],[97,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(161,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)],[91,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(162,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)],[147,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(163,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)],[139,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(164,plain,
( ( ! [SX0: $i,SX1: $i] : ( in @ SX0 @ ( setadjoin @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(165,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)],[112,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(166,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)],[138,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(167,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX1 @ SX2 )
| ~ ( in @ SX2 @ SX0 )
| ( in @ SX1 @ ( setunion @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(168,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)],[151,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(169,plain,
( ( ! [SX0: $i] : ( in @ emptyset @ ( powerset @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(170,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)],[110,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(171,plain,
( ( ! [SX0: $i] :
~ ( in @ SX0 @ emptyset ) )
= $true ),
inference(unfold_def,[status(thm)],[132,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(172,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)],[90,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(173,plain,
( ( in @ emptyset @ omega )
= $true ),
inference(unfold_def,[status(thm)],[146,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(174,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( in @ SX1 @ ( setadjoin @ SX0 @ emptyset ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(175,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)],[98,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(176,plain,
( ( ! [SX0: $i] :
( ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(177,plain,
( ( ! [SX0: $o] :
( ~ SX0
| ( set2prop @ ( prop2set @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(178,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $o] : SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[134,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(179,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
~ ( in @ SX1 @ SX0 )
| ( SX0 = emptyset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(180,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( ( setunion @ SX0 )
= ( setunion @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(181,plain,
( ( ! [SX0: $i] :
( ( dsetconstr @ SX0
@ ^ [SX1: $i] : $true )
= SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[118,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(182,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)],[96,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(183,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)],[101,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(184,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)],[79,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(185,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)],[89,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(186,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| $false ) )
= $true ),
inference(unfold_def,[status(thm)],[133,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(187,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( ( powerset @ SX0 )
= ( powerset @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(188,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ( in @ SX1 @ ( powerset @ ( setunion @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(189,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( in @ SX0 @ ( setadjoin @ SX1 @ emptyset ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(190,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)],[130,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(191,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX0 @ ( setadjoin @ SX1 @ emptyset ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(192,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
~ ( in @ SX1 @ SX0 )
| ( SX0 = emptyset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(193,plain,
( ( ! [SX0: $i] :
( ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(194,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)],[88,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(195,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)],[136,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(196,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)],[92,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(197,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX2 @ ( setadjoin @ SX0 @ SX1 ) )
| ( SX2 = SX0 )
| ( in @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(198,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)],[93,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(199,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)],[120,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(200,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)],[148,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(201,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)],[127,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(203,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)],[87,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(204,plain,
( ( ! [SX0: $i,SX1: $i > $o,SX2: $i] :
( ~ ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] : ( SX1 @ SX3 ) ) )
| ( SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(205,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)],[144,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(206,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)],[142,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(207,plain,
( ( ! [SX0: $i] :
~ ( in @ SX0 @ emptyset ) )
= $true ),
inference(unfold_def,[status(thm)],[150,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(208,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ SX0 ) )
| ( in @ SX1 @ ( powerset @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(209,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)],[143,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(210,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)],[125,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(211,plain,
( ( ! [SX0: $o,SX1: $i] :
( ~ ( in @ SX1 @ ( prop2set @ SX0 ) )
| SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[135,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(212,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX0 @ ( setadjoin @ SX1 @ emptyset ) )
| ( in @ SX1 @ ( setadjoin @ SX0 @ emptyset ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(213,plain,
( ( ! [SX0: $i > $o,SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(214,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)],[85,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(215,plain,
( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
= $true ),
inference(unfold_def,[status(thm)],[122,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(216,plain,
( ( ! [SX0: $i > $o] :
( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) )
| ~ ! [SX1: $i] :
~ ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(217,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)],[140,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(218,plain,
( ( ! [SX0: $i] :
( ~ ~ ! [SX1: $i] :
~ ( in @ SX1 @ SX0 )
| ( SX0 != emptyset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(219,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( sK1_Xphi @ SX0 )
| ( sK2_SY0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( sK2_SY0 @ SX1 )
| ( sK1_Xphi @ SX0 ) ) )
| ~ ~ ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( sK1_Xphi @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK1_Xphi @ SX1 )
| ( SX0 = SX1 ) ) )
| ~ ~ ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( sK2_SY0 @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK2_SY0 @ SX1 )
| ( SX0 = SX1 ) ) )
| ~ ( ( ( descr
@ ^ [SX0: $i] : ( sK1_Xphi @ SX0 ) )
!= ( descr
@ ^ [SX0: $i] : ( sK2_SY0 @ SX0 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(220,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)],[141,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(221,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ ( setadjoin @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(222,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ omega )
| ( in @ ( setadjoin @ SX0 @ SX0 ) @ omega ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(223,plain,
( ( ! [SX0: $i,SX1: $i] : ( in @ SX1 @ ( setadjoin @ SX0 @ ( setadjoin @ SX1 @ emptyset ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(224,plain,
( ( ! [SX0: $i,SX1: $i] : ( in @ SX0 @ ( setadjoin @ SX0 @ ( setadjoin @ SX1 @ emptyset ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(225,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX2 @ ( setadjoin @ SX0 @ ( setadjoin @ SX1 @ emptyset ) ) )
| ( SX2 = SX0 )
| ( SX2 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,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,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(227,plain,
! [SV1: $i > $o] :
( ( ~ ~ ! [SY17: $i] :
~ ~ ( ~ ( SV1 @ SY17 )
| ~ ! [SY18: $i] :
( ~ ( SV1 @ SY18 )
| ( SY17 = SY18 ) ) )
| ! [SY19: $i,SY20: $i] :
( ~ ( SV1 @ SY19 )
| ~ ( SV1 @ SY20 )
| ( SY19 = SY20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(228,plain,
! [SV2: $i] :
( ( ! [SY21: $i] :
( ( SV2 != SY21 )
| ! [SY22: $i,SY23: $i] :
( ( SY22 != SY23 )
| ( ( setadjoin @ SV2 @ SY22 )
= ( setadjoin @ SY21 @ SY23 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(229,plain,
! [SV3: $i] :
( ( in @ emptyset @ ( powerset @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(230,plain,
! [SV4: $i] :
( ( ! [SY24: $i,SY25: $i] :
~ ( ~ ( ~ ( in @ SY25 @ ( setadjoin @ SV4 @ SY24 ) )
| ( SY25 = SV4 )
| ( in @ SY25 @ SY24 ) )
| ~ ( ~ ( ( SY25 = SV4 )
| ( in @ SY25 @ SY24 ) )
| ( in @ SY25 @ ( setadjoin @ SV4 @ SY24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(231,plain,
! [SV5: $o] :
( ( ~ SV5
| ( in @ emptyset @ ( prop2set @ SV5 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[157]) ).
thf(232,plain,
( ( ~ $true
| ( in @ emptyset @ ( prop2set @ $true ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[157]) ).
thf(234,plain,
! [SV6: $i] :
( ( ! [SY26: $i,SY27: $i] :
( ~ ( in @ SY26 @ ( powerset @ SV6 ) )
| ~ ( in @ SY27 @ SY26 )
| ( in @ SY27 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(235,plain,
! [SV7: $i] :
( ( ! [SY28: $i > $o] :
( ~ ~ ! [SY29: $i] :
( ~ ( in @ SY29 @ SV7 )
| ( SY28 @ SY29 ) )
| ~ ! [SY30: $i] :
~ ~ ( ~ ( in @ SY30 @ SV7 )
| ~ ~ ( SY28 @ SY30 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(236,plain,
! [SV8: $i] :
( ( ! [SY31: $i > $o] :
( ~ ~ ~ ! [SY32: $i] :
~ ~ ( ~ ( in @ SY32 @ SV8 )
| ~ ( SY31 @ SY32 ) )
| ! [SY33: $i] :
( ~ ( in @ SY33 @ SV8 )
| ~ ( SY31 @ SY33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(237,plain,
! [SV9: $i > $o] :
( ( ~ ~ ! [SY34: $i] :
~ ~ ( ~ ( SV9 @ SY34 )
| ~ ! [SY35: $i] :
( ~ ( SV9 @ SY35 )
| ( SY34 = SY35 ) ) )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(238,plain,
! [SV10: $i] :
( ( ! [SY38: $i] :
~ ( ~ ( ~ ( in @ SY38 @ ( setunion @ SV10 ) )
| ~ ! [SY39: $i] :
~ ~ ( ~ ( in @ SY38 @ SY39 )
| ~ ( in @ SY39 @ SV10 ) ) )
| ~ ( ~ ~ ! [SY40: $i] :
~ ~ ( ~ ( in @ SY38 @ SY40 )
| ~ ( in @ SY40 @ SV10 ) )
| ( in @ SY38 @ ( setunion @ SV10 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(239,plain,
! [SV11: $i] :
( ( ! [SY41: $i > $o,SY42: $i] :
( ~ ( in @ SY42 @ SV11 )
| ~ ( SY41 @ SY42 )
| ( in @ SY42
@ ( dsetconstr @ SV11
@ ^ [SX3: $i] : ( SY41 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(240,plain,
! [SV12: $i] :
( ( ! [SY44: $i] : ( in @ SV12 @ ( setadjoin @ SV12 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(241,plain,
! [SV13: $i] :
( ( ! [SY45: $i] :
( ~ ( in @ SY45 @ ( setunion @ SV13 ) )
| ! [SY46: $o] :
( ~ ! [SY47: $i] :
( ~ ( in @ SY45 @ SY47 )
| ~ ( in @ SY47 @ SV13 )
| SY46 )
| SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(242,plain,
! [SV14: $i] :
( ( ! [SY48: $i > $o,SY49: $i] :
( ~ ( in @ SY49
@ ( dsetconstr @ SV14
@ ^ [SX3: $i] : ( SY48 @ SX3 ) ) )
| ( in @ SY49 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(243,plain,
! [SV15: $i] :
( ( ! [SY51: $i,SY52: $i] :
( ~ ( in @ SY51 @ SY52 )
| ~ ( in @ SY52 @ SV15 )
| ( in @ SY51 @ ( setunion @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(244,plain,
! [SV16: $i] :
( ( ! [SY53: $i] :
( ~ ! [SY54: $i] :
~ ( ~ ( ~ ( in @ SY54 @ SV16 )
| ( in @ SY54 @ SY53 ) )
| ~ ( ~ ( in @ SY54 @ SY53 )
| ( in @ SY54 @ SV16 ) ) )
| ( SV16 = SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(245,plain,
! [SV17: $i] :
( ( in @ emptyset @ ( powerset @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(246,plain,
! [SV18: $i > $o] :
( ( ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( SV18 @ SY55 )
| ~ ! [SY56: $i] :
( ~ ( SV18 @ SY56 )
| ( SY55 = SY56 ) ) )
| ~ ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(247,plain,
! [SV19: $i] :
( ( ~ ( in @ SV19 @ emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(248,plain,
! [SV20: $i > $o] :
( ( ~ ~ ! [SY59: $i] :
~ ( SV20 @ SY59 )
| ~ ! [SY60: $i,SY61: $i] :
( ~ ( SV20 @ SY60 )
| ~ ( SV20 @ SY61 )
| ( SY60 = SY61 ) )
| ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(249,plain,
! [SV21: $i] :
( ( ! [SY64: $i] :
( ~ ( ( SV21 != SY64 ) )
| ~ ( in @ SY64 @ ( setadjoin @ SV21 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(250,plain,
! [SV22: $i] :
( ( ! [SY65: $i > $o] :
( ~ ! [SY66: $i] :
( ~ ( in @ SY66 @ SV22 )
| ~ ( SY65 @ SY66 ) )
| ~ ~ ! [SY67: $i] :
~ ~ ( ~ ( in @ SY67 @ SV22 )
| ~ ( SY65 @ SY67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(251,plain,
! [SV23: $i] :
( ( ~ ( ( SV23 != emptyset ) )
| ~ ! [SY68: $i] :
~ ~ ( ~ ( in @ SY68 @ SV23 )
| ~ $true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(252,plain,
! [SV24: $o] :
( ( ~ SV24
| ( set2prop @ ( prop2set @ SV24 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[177]) ).
thf(253,plain,
( ( ~ $true
| ( set2prop @ ( prop2set @ $true ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[177]) ).
thf(255,plain,
! [SV25: $i] :
( ( ~ ( in @ SV25 @ emptyset )
| ! [SX1: $o] : SX1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(256,plain,
! [SV26: $i] :
( ( ~ ! [SY70: $i] :
~ ( in @ SY70 @ SV26 )
| ( SV26 = emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(257,plain,
! [SV27: $i] :
( ( ! [SY71: $i] :
( ( SV27 != SY71 )
| ( ( setunion @ SV27 )
= ( setunion @ SY71 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(258,plain,
! [SV28: $i] :
( ( ( dsetconstr @ SV28
@ ^ [SX1: $i] : $true )
= SV28 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(259,plain,
! [SV29: $i] :
( ( ! [SY73: $i > $o] :
( ~ ~ ! [SY74: $i] :
~ ~ ( ~ ( in @ SY74 @ SV29 )
| ~ ~ ( SY73 @ SY74 ) )
| ~ ! [SY75: $i] :
( ~ ( in @ SY75 @ SV29 )
| ( SY73 @ SY75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(260,plain,
! [SV30: $i] :
( ( ! [SY76: $i > $o] :
( ~ ~ ! [SY77: $i] :
~ ~ ( ~ ( in @ SY77 @ SV30 )
| ~ ( SY76 @ SY77 ) )
| ( ( dsetconstr @ SV30
@ ^ [SX2: $i] : ( SY76 @ SX2 ) )
!= emptyset )
| $false ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(261,plain,
! [SV31: $i > $o] :
( ( ~ ~ ! [SY79: $i] :
~ ~ ( ~ ( SV31 @ SY79 )
| ~ ! [SY80: $i] :
( ~ ( SV31 @ SY80 )
| ( SY79 = SY80 ) ) )
| ! [SY81: $i,SY82: $i] :
( ~ ( SV31 @ SY81 )
| ~ ( SV31 @ SY82 )
| ( SY81 = SY82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(262,plain,
! [SV32: $i > $o] :
( ( ~ ~ ! [SY83: $i] :
~ ! [SY84: $i] :
~ ( ~ ( ~ ( SV32 @ SY84 )
| ( SY84 = SY83 ) )
| ~ ( ( SY84 != SY83 )
| ( SV32 @ SY84 ) ) )
| ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(263,plain,
! [SV33: $i] :
( ( ~ ( in @ SV33 @ emptyset )
| $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(264,plain,
! [SV34: $i] :
( ( ! [SY87: $i] :
( ( SV34 != SY87 )
| ( ( powerset @ SV34 )
= ( powerset @ SY87 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(265,plain,
! [SV35: $i] :
( ( ! [SY88: $i] :
( ~ ( in @ SY88 @ SV35 )
| ( in @ SY88 @ ( powerset @ ( setunion @ SV35 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(266,plain,
! [SV36: $i] :
( ( ! [SY89: $i] :
( ( SV36 != SY89 )
| ( in @ SV36 @ ( setadjoin @ SY89 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(267,plain,
! [SV37: $i] :
( ( ! [SY90: $i] :
( ~ ! [SY91: $i] :
( ~ ( in @ SY91 @ SV37 )
| ( in @ SY91 @ SY90 ) )
| ~ ! [SY92: $i] :
( ~ ( in @ SY92 @ SY90 )
| ( in @ SY92 @ SV37 ) )
| ( SV37 = SY90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(268,plain,
! [SV38: $i] :
( ( ! [SY93: $i] :
( ~ ( in @ SV38 @ ( setadjoin @ SY93 @ emptyset ) )
| ( SV38 = SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(269,plain,
! [SV39: $i] :
( ( ~ ! [SY94: $i] :
~ ( in @ SY94 @ SV39 )
| ( SV39 = emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(270,plain,
! [SV40: $i] :
( ( ~ ( ( SV40 != emptyset ) )
| ~ ! [SY95: $i] :
~ ( in @ SY95 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(271,plain,
! [SV41: $i] :
( ( ! [SY96: $i] :
( ( SV41 != SY96 )
| ! [SY97: $i,SY98: $i] :
( ( SY97 != SY98 )
| ~ ( in @ SY97 @ SV41 )
| ( in @ SY98 @ SY96 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(272,plain,
! [SV42: $i > $o] :
( ( ~ ~ ! [SY99: $i] :
~ ~ ( ~ ( SV42 @ SY99 )
| ~ ! [SY100: $i] :
( ~ ( SV42 @ SY100 )
| ( SY99 = SY100 ) ) )
| ~ ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(273,plain,
! [SV43: $i] :
( ( ! [SY103: $i > $o] :
( ~ ~ ! [SY104: $i] :
( ~ ( in @ SY104 @ SV43 )
| ( SY103 @ SY104 ) )
| ~ ! [SY105: $i] :
~ ~ ( ~ ( in @ SY105 @ SV43 )
| ~ ~ ( SY103 @ SY105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(274,plain,
! [SV44: $i] :
( ( ! [SY106: $i,SY107: $i] :
( ~ ( in @ SY107 @ ( setadjoin @ SV44 @ SY106 ) )
| ( SY107 = SV44 )
| ( in @ SY107 @ SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(275,plain,
! [SV45: $i] :
( ( ! [SY108: $i > $o] :
( ~ ~ ~ ! [SY109: $i] :
~ ~ ( ~ ( in @ SY109 @ SV45 )
| ~ ( SY108 @ SY109 ) )
| ! [SY110: $i] :
( ~ ( in @ SY110 @ SV45 )
| ~ ( SY108 @ SY110 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(276,plain,
! [SV46: $i] :
( ( ! [SY111: $i,SY112: $i] :
( ~ ( in @ SY112 @ ( setadjoin @ SV46 @ SY111 ) )
| ! [SY113: $o] :
( ~ ( ( SY112 != SV46 )
| SY113 )
| ~ ( ~ ( in @ SY112 @ SY111 )
| SY113 )
| SY113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(277,plain,
! [SV47: $i] :
( ( ! [SY114: $i] :
~ ( ~ ( ~ ( in @ SY114 @ ( powerset @ SV47 ) )
| ! [SY115: $i] :
( ~ ( in @ SY115 @ SY114 )
| ( in @ SY115 @ SV47 ) ) )
| ~ ( ~ ! [SY116: $i] :
( ~ ( in @ SY116 @ SY114 )
| ( in @ SY116 @ SV47 ) )
| ( in @ SY114 @ ( powerset @ SV47 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(278,plain,
! [SV48: $i] :
( ( ! [SY117: $i > $o,SY118: $i] :
( ~ ( in @ SY118 @ SV48 )
| ~ ( ~ ( ~ ( in @ SY118
@ ( dsetconstr @ SV48
@ ^ [SX3: $i] : ( SY117 @ SX3 ) ) )
| ( SY117 @ SY118 ) )
| ~ ( ~ ( SY117 @ SY118 )
| ( in @ SY118
@ ( dsetconstr @ SV48
@ ^ [SX3: $i] : ( SY117 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(279,plain,
! [SV49: $i] :
( ( ! [SY121: $i] :
( ( SV49 != SY121 )
| ! [SY122: $i,SY123: $i] :
( ( SY122 != SY123 )
| ~ ( ~ ( ~ ( in @ SY122 @ SV49 )
| ( in @ SY123 @ SY121 ) )
| ~ ( ~ ( in @ SY123 @ SY121 )
| ( in @ SY122 @ SV49 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(280,plain,
! [SV50: $i] :
( ( ! [SY124: $i > $o,SY125: $i] :
( ~ ( in @ SY125
@ ( dsetconstr @ SV50
@ ^ [SX3: $i] : ( SY124 @ SX3 ) ) )
| ( SY124 @ SY125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(281,plain,
! [SV51: $i] :
( ( ~ ~ ( ~ ( in @ emptyset @ SV51 )
| ~ ! [SY127: $i] :
( ~ ~ ( ~ ( in @ SY127 @ omega )
| ~ ( in @ SY127 @ SV51 ) )
| ( in @ ( setadjoin @ SY127 @ SY127 ) @ SV51 ) ) )
| ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(282,plain,
! [SV52: $i] :
( ( ~ ~ ! [SY129: $i] :
~ ( in @ SY129 @ SV52 )
| ~ ! [SY130: $i] :
~ ~ ( ~ ( in @ SY130 @ SV52 )
| ~ ~ ~ ! [SY131: $i] :
~ ~ ( ~ ( in @ SY131 @ SY130 )
| ~ ( in @ SY131 @ SV52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(283,plain,
! [SV53: $i] :
( ( ~ ( in @ SV53 @ emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(284,plain,
! [SV54: $i] :
( ( ! [SY132: $i] :
( ~ ! [SY133: $i] :
( ~ ( in @ SY133 @ SY132 )
| ( in @ SY133 @ SV54 ) )
| ( in @ SY132 @ ( powerset @ SV54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(285,plain,
! [SV55: $i > $i > $o] :
( ( ! [SY134: $i] :
( ~ ! [SY135: $i] :
( ~ ( in @ SY135 @ SY134 )
| ~ ! [SY136: $i] :
~ ~ ( ~ ( SV55 @ SY135 @ SY136 )
| ~ ! [SY137: $i] :
( ~ ( SV55 @ SY135 @ SY137 )
| ( SY136 = SY137 ) ) ) )
| ~ ! [SY138: $i] :
~ ! [SY139: $i] :
~ ( ~ ( ~ ( in @ SY139 @ SY138 )
| ~ ! [SY140: $i] :
~ ~ ( ~ ( in @ SY140 @ SY134 )
| ~ ( SV55 @ SY140 @ SY139 ) ) )
| ~ ( ~ ~ ! [SY141: $i] :
~ ~ ( ~ ( in @ SY141 @ SY134 )
| ~ ( SV55 @ SY141 @ SY139 ) )
| ( in @ SY139 @ SY138 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(286,plain,
! [SV56: $i] :
( ( ! [SY142: $i > $o,SY143: $i] :
( ~ ( in @ SY143 @ SV56 )
| ~ ( SY142 @ SY143 )
| ( ( dsetconstr @ SV56
@ ^ [SX3: $i] : ( SY142 @ SX3 ) )
!= emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(287,plain,
! [SV57: $o] :
( ( ! [SY145: $i] :
( ~ ( in @ SY145 @ ( prop2set @ SV57 ) )
| SV57 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[211]) ).
thf(289,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( prop2set @ $false ) )
| $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[211]) ).
thf(290,plain,
! [SV58: $i] :
( ( ! [SY146: $i] :
( ~ ( in @ SV58 @ ( setadjoin @ SY146 @ emptyset ) )
| ( in @ SY146 @ ( setadjoin @ SV58 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(291,plain,
! [SV59: $i > $o] :
( ( ! [SY147: $i] :
( ~ ( in @ SY147 @ emptyset )
| ( SV59 @ SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(292,plain,
! [SV60: $i > $o] :
( ( ! [SY148: $i > $o] :
( ~ ! [SY149: $i,SY150: $i] :
( ( SY149 != SY150 )
| ~ ( ~ ( ~ ( SV60 @ SY149 )
| ( SY148 @ SY150 ) )
| ~ ( ~ ( SY148 @ SY150 )
| ( SV60 @ SY149 ) ) ) )
| ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( SY148 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( SY148 @ SX3 )
| ( SX2 = SX3 ) ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( SY148 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( SY148 @ SX3 )
| ( SX2 = SX3 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(293,plain,
! [SV61: $i > $o] :
( ( ~ ~ ! [SY159: $i] :
~ ~ ( ~ ( SV61 @ SY159 )
| ~ ! [SY160: $i] :
( ~ ( SV61 @ SY160 )
| ( SY159 = SY160 ) ) )
| ~ ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(294,plain,
! [SV62: $i > $o] :
( ( ~ ~ ! [SY162: $i] :
~ ~ ( ~ ( SV62 @ SY162 )
| ~ ! [SY163: $i] :
( ~ ( SV62 @ SY163 )
| ( SY162 = SY163 ) ) )
| ( SV62
@ ( descr
@ ^ [SY164: $i] : ( SV62 @ SY164 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(295,plain,
! [SV63: $i] :
( ( ~ ~ ! [SY165: $i] :
~ ( in @ SY165 @ SV63 )
| ( SV63 != emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(296,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( sK1_Xphi @ SX0 )
| ( sK2_SY0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( sK2_SY0 @ SX1 )
| ( sK1_Xphi @ SX0 ) ) )
| ~ ~ ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( sK1_Xphi @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK1_Xphi @ SX1 )
| ( SX0 = SX1 ) ) )
| ~ ~ ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( sK2_SY0 @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK2_SY0 @ SX1 )
| ( SX0 = SX1 ) ) )
| ~ ( ( ( descr
@ ^ [SX0: $i] : ( sK1_Xphi @ SX0 ) )
!= ( descr
@ ^ [SX0: $i] : ( sK2_SY0 @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(297,plain,
! [SV64: $i] :
( ( ~ ! [SY166: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY167: $i] :
( ~ ( in @ SY167 @ SY166 )
| ! [SY168: $i] :
( ~ ( in @ SY168 @ SY167 )
| ( in @ SY168 @ SV64 ) ) )
| ~ ! [SY169: $i,SY170: $i] :
( ~ ~ ( ~ ( in @ SY169 @ SV64 )
| ~ ( in @ SY170 @ SV64 ) )
| ~ ! [SX4: $i] :
( ~ ( in @ SX4 @ SY166 )
| ~ ( ~ ( ~ ( in @ SY169 @ SX4 )
| ( in @ SY170 @ SX4 ) )
| ~ ( ~ ( in @ SY170 @ SX4 )
| ( in @ SY169 @ SX4 ) ) ) )
| ( SY169 = SY170 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( in @ SX2 @ SY166 )
| ~ ( in @ SX3 @ SY166 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SX2 )
| ( in @ SX4 @ SX3 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SX3 )
| ( in @ SX4 @ SX2 ) ) ) )
| ~ ! [SY176: $i] :
( ~ ~ ( ~ ! [SY177: $i] :
( ~ ( in @ SY177 @ SY176 )
| ( in @ SY177 @ SV64 ) )
| ~ ~ ! [SX3: $i] :
~ ( in @ SX3 @ SY176 ) )
| ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SX3 @ SY166 )
| ~ ( in @ SX4 @ SY176 ) )
| ~ ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( in @ SX5 @ SX3 )
| ~ ( in @ SX5 @ SY176 ) ) )
| ~ ! [SX5: $i] :
( ~ ( in @ SX5 @ SY166 )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SX5 )
| ( in @ SX6 @ SX3 ) )
| ( in @ SX4 @ SX5 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(298,plain,
! [SV65: $i] :
( ( ! [SY184: $i,SY185: $i] :
( ~ ( in @ SY185 @ SY184 )
| ( in @ SY185 @ ( setadjoin @ SV65 @ SY184 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(299,plain,
! [SV66: $i] :
( ( ~ ( in @ SV66 @ omega )
| ( in @ ( setadjoin @ SV66 @ SV66 ) @ omega ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(300,plain,
! [SV67: $i] :
( ( ! [SY186: $i] : ( in @ SY186 @ ( setadjoin @ SV67 @ ( setadjoin @ SY186 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(301,plain,
! [SV68: $i] :
( ( ! [SY187: $i] : ( in @ SV68 @ ( setadjoin @ SV68 @ ( setadjoin @ SY187 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(302,plain,
! [SV69: $i] :
( ( ! [SY188: $i,SY189: $i] :
( ~ ( in @ SY189 @ ( setadjoin @ SV69 @ ( setadjoin @ SY188 @ emptyset ) ) )
| ( SY189 = SV69 )
| ( SY189 = SY188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(303,plain,
! [SV1: $i > $o] :
( ( ( ~ ~ ! [SY17: $i] :
~ ~ ( ~ ( SV1 @ SY17 )
| ~ ! [SY18: $i] :
( ~ ( SV1 @ SY18 )
| ( SY17 = SY18 ) ) ) )
= $true )
| ( ( ! [SY19: $i,SY20: $i] :
( ~ ( SV1 @ SY19 )
| ~ ( SV1 @ SY20 )
| ( SY19 = SY20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(304,plain,
! [SV70: $i,SV2: $i] :
( ( ( SV2 != SV70 )
| ! [SY190: $i,SY191: $i] :
( ( SY190 != SY191 )
| ( ( setadjoin @ SV2 @ SY190 )
= ( setadjoin @ SV70 @ SY191 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(305,plain,
! [SV71: $i,SV4: $i] :
( ( ! [SY192: $i] :
~ ( ~ ( ~ ( in @ SY192 @ ( setadjoin @ SV4 @ SV71 ) )
| ( SY192 = SV4 )
| ( in @ SY192 @ SV71 ) )
| ~ ( ~ ( ( SY192 = SV4 )
| ( in @ SY192 @ SV71 ) )
| ( in @ SY192 @ ( setadjoin @ SV4 @ SV71 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(306,plain,
! [SV5: $o] :
( ( ( ~ SV5 ) = $true )
| ( ( in @ emptyset @ ( prop2set @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(307,plain,
( ( ( ~ $true ) = $true )
| ( ( in @ emptyset @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(309,plain,
! [SV6: $i,SV72: $i] :
( ( ! [SY193: $i] :
( ~ ( in @ SV72 @ ( powerset @ SV6 ) )
| ~ ( in @ SY193 @ SV72 )
| ( in @ SY193 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(310,plain,
! [SV73: $i > $o,SV7: $i] :
( ( ~ ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ SV7 )
| ( SV73 @ SY194 ) )
| ~ ! [SY195: $i] :
~ ~ ( ~ ( in @ SY195 @ SV7 )
| ~ ~ ( SV73 @ SY195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(311,plain,
! [SV74: $i > $o,SV8: $i] :
( ( ~ ~ ~ ! [SY196: $i] :
~ ~ ( ~ ( in @ SY196 @ SV8 )
| ~ ( SV74 @ SY196 ) )
| ! [SY197: $i] :
( ~ ( in @ SY197 @ SV8 )
| ~ ( SV74 @ SY197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(312,plain,
! [SV9: $i > $o] :
( ( ( ~ ~ ! [SY34: $i] :
~ ~ ( ~ ( SV9 @ SY34 )
| ~ ! [SY35: $i] :
( ~ ( SV9 @ SY35 )
| ( SY34 = SY35 ) ) ) )
= $true )
| ( ( ~ ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(313,plain,
! [SV10: $i,SV75: $i] :
( ( ~ ( ~ ( ~ ( in @ SV75 @ ( setunion @ SV10 ) )
| ~ ! [SY198: $i] :
~ ~ ( ~ ( in @ SV75 @ SY198 )
| ~ ( in @ SY198 @ SV10 ) ) )
| ~ ( ~ ~ ! [SY199: $i] :
~ ~ ( ~ ( in @ SV75 @ SY199 )
| ~ ( in @ SY199 @ SV10 ) )
| ( in @ SV75 @ ( setunion @ SV10 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(314,plain,
! [SV76: $i > $o,SV11: $i] :
( ( ! [SY200: $i] :
( ~ ( in @ SY200 @ SV11 )
| ~ ( SV76 @ SY200 )
| ( in @ SY200
@ ( dsetconstr @ SV11
@ ^ [SY201: $i] : ( SV76 @ SY201 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(315,plain,
! [SV77: $i,SV12: $i] :
( ( in @ SV12 @ ( setadjoin @ SV12 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(316,plain,
! [SV13: $i,SV78: $i] :
( ( ~ ( in @ SV78 @ ( setunion @ SV13 ) )
| ! [SY202: $o] :
( ~ ! [SY203: $i] :
( ~ ( in @ SV78 @ SY203 )
| ~ ( in @ SY203 @ SV13 )
| SY202 )
| SY202 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(317,plain,
! [SV79: $i > $o,SV14: $i] :
( ( ! [SY204: $i] :
( ~ ( in @ SY204
@ ( dsetconstr @ SV14
@ ^ [SY205: $i] : ( SV79 @ SY205 ) ) )
| ( in @ SY204 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(318,plain,
! [SV15: $i,SV80: $i] :
( ( ! [SY206: $i] :
( ~ ( in @ SV80 @ SY206 )
| ~ ( in @ SY206 @ SV15 )
| ( in @ SV80 @ ( setunion @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(319,plain,
! [SV81: $i,SV16: $i] :
( ( ~ ! [SY207: $i] :
~ ( ~ ( ~ ( in @ SY207 @ SV16 )
| ( in @ SY207 @ SV81 ) )
| ~ ( ~ ( in @ SY207 @ SV81 )
| ( in @ SY207 @ SV16 ) ) )
| ( SV16 = SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(320,plain,
! [SV18: $i > $o] :
( ( ( ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( SV18 @ SY55 )
| ~ ! [SY56: $i] :
( ~ ( SV18 @ SY56 )
| ( SY55 = SY56 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(321,plain,
! [SV19: $i] :
( ( in @ SV19 @ emptyset )
= $false ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(322,plain,
! [SV20: $i > $o] :
( ( ( ~ ~ ! [SY59: $i] :
~ ( SV20 @ SY59 ) )
= $true )
| ( ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( SV20 @ SY60 )
| ~ ( SV20 @ SY61 )
| ( SY60 = SY61 ) )
| ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(323,plain,
! [SV82: $i,SV21: $i] :
( ( ~ ( ( SV21 != SV82 ) )
| ~ ( in @ SV82 @ ( setadjoin @ SV21 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(324,plain,
! [SV83: $i > $o,SV22: $i] :
( ( ~ ! [SY208: $i] :
( ~ ( in @ SY208 @ SV22 )
| ~ ( SV83 @ SY208 ) )
| ~ ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ SV22 )
| ~ ( SV83 @ SY209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(325,plain,
! [SV23: $i] :
( ( ( ~ ( ( SV23 != emptyset ) ) )
= $true )
| ( ( ~ ! [SY68: $i] :
~ ~ ( ~ ( in @ SY68 @ SV23 )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(326,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $true )
| ( ( set2prop @ ( prop2set @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(327,plain,
( ( ( ~ $true ) = $true )
| ( ( set2prop @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(329,plain,
! [SV25: $i] :
( ( ( ~ ( in @ SV25 @ emptyset ) )
= $true )
| ( ( ! [SX1: $o] : SX1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(330,plain,
! [SV26: $i] :
( ( ( ~ ! [SY70: $i] :
~ ( in @ SY70 @ SV26 ) )
= $true )
| ( ( SV26 = emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(331,plain,
! [SV84: $i,SV27: $i] :
( ( ( SV27 != SV84 )
| ( ( setunion @ SV27 )
= ( setunion @ SV84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(332,plain,
! [SV85: $i > $o,SV29: $i] :
( ( ~ ~ ! [SY210: $i] :
~ ~ ( ~ ( in @ SY210 @ SV29 )
| ~ ~ ( SV85 @ SY210 ) )
| ~ ! [SY211: $i] :
( ~ ( in @ SY211 @ SV29 )
| ( SV85 @ SY211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(333,plain,
! [SV86: $i > $o,SV30: $i] :
( ( ~ ~ ! [SY212: $i] :
~ ~ ( ~ ( in @ SY212 @ SV30 )
| ~ ( SV86 @ SY212 ) )
| ( ( dsetconstr @ SV30
@ ^ [SY213: $i] : ( SV86 @ SY213 ) )
!= emptyset )
| $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(334,plain,
! [SV31: $i > $o] :
( ( ( ~ ~ ! [SY79: $i] :
~ ~ ( ~ ( SV31 @ SY79 )
| ~ ! [SY80: $i] :
( ~ ( SV31 @ SY80 )
| ( SY79 = SY80 ) ) ) )
= $true )
| ( ( ! [SY81: $i,SY82: $i] :
( ~ ( SV31 @ SY81 )
| ~ ( SV31 @ SY82 )
| ( SY81 = SY82 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(335,plain,
! [SV32: $i > $o] :
( ( ( ~ ~ ! [SY83: $i] :
~ ! [SY84: $i] :
~ ( ~ ( ~ ( SV32 @ SY84 )
| ( SY84 = SY83 ) )
| ~ ( ( SY84 != SY83 )
| ( SV32 @ SY84 ) ) ) )
= $true )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(336,plain,
! [SV33: $i] :
( ( ( ~ ( in @ SV33 @ emptyset ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(337,plain,
! [SV87: $i,SV34: $i] :
( ( ( SV34 != SV87 )
| ( ( powerset @ SV34 )
= ( powerset @ SV87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(338,plain,
! [SV35: $i,SV88: $i] :
( ( ~ ( in @ SV88 @ SV35 )
| ( in @ SV88 @ ( powerset @ ( setunion @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(339,plain,
! [SV89: $i,SV36: $i] :
( ( ( SV36 != SV89 )
| ( in @ SV36 @ ( setadjoin @ SV89 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(340,plain,
! [SV90: $i,SV37: $i] :
( ( ~ ! [SY214: $i] :
( ~ ( in @ SY214 @ SV37 )
| ( in @ SY214 @ SV90 ) )
| ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ SV90 )
| ( in @ SY215 @ SV37 ) )
| ( SV37 = SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(341,plain,
! [SV91: $i,SV38: $i] :
( ( ~ ( in @ SV38 @ ( setadjoin @ SV91 @ emptyset ) )
| ( SV38 = SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(342,plain,
! [SV39: $i] :
( ( ( ~ ! [SY94: $i] :
~ ( in @ SY94 @ SV39 ) )
= $true )
| ( ( SV39 = emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(343,plain,
! [SV40: $i] :
( ( ( ~ ( ( SV40 != emptyset ) ) )
= $true )
| ( ( ~ ! [SY95: $i] :
~ ( in @ SY95 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(344,plain,
! [SV92: $i,SV41: $i] :
( ( ( SV41 != SV92 )
| ! [SY216: $i,SY217: $i] :
( ( SY216 != SY217 )
| ~ ( in @ SY216 @ SV41 )
| ( in @ SY217 @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(345,plain,
! [SV42: $i > $o] :
( ( ( ~ ~ ! [SY99: $i] :
~ ~ ( ~ ( SV42 @ SY99 )
| ~ ! [SY100: $i] :
( ~ ( SV42 @ SY100 )
| ( SY99 = SY100 ) ) ) )
= $true )
| ( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(346,plain,
! [SV93: $i > $o,SV43: $i] :
( ( ~ ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ SV43 )
| ( SV93 @ SY218 ) )
| ~ ! [SY219: $i] :
~ ~ ( ~ ( in @ SY219 @ SV43 )
| ~ ~ ( SV93 @ SY219 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(347,plain,
! [SV94: $i,SV44: $i] :
( ( ! [SY220: $i] :
( ~ ( in @ SY220 @ ( setadjoin @ SV44 @ SV94 ) )
| ( SY220 = SV44 )
| ( in @ SY220 @ SV94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(348,plain,
! [SV95: $i > $o,SV45: $i] :
( ( ~ ~ ~ ! [SY221: $i] :
~ ~ ( ~ ( in @ SY221 @ SV45 )
| ~ ( SV95 @ SY221 ) )
| ! [SY222: $i] :
( ~ ( in @ SY222 @ SV45 )
| ~ ( SV95 @ SY222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(349,plain,
! [SV96: $i,SV46: $i] :
( ( ! [SY223: $i] :
( ~ ( in @ SY223 @ ( setadjoin @ SV46 @ SV96 ) )
| ! [SY224: $o] :
( ~ ( ( SY223 != SV46 )
| SY224 )
| ~ ( ~ ( in @ SY223 @ SV96 )
| SY224 )
| SY224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(350,plain,
! [SV47: $i,SV97: $i] :
( ( ~ ( ~ ( ~ ( in @ SV97 @ ( powerset @ SV47 ) )
| ! [SY225: $i] :
( ~ ( in @ SY225 @ SV97 )
| ( in @ SY225 @ SV47 ) ) )
| ~ ( ~ ! [SY226: $i] :
( ~ ( in @ SY226 @ SV97 )
| ( in @ SY226 @ SV47 ) )
| ( in @ SV97 @ ( powerset @ SV47 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(351,plain,
! [SV98: $i > $o,SV48: $i] :
( ( ! [SY227: $i] :
( ~ ( in @ SY227 @ SV48 )
| ~ ( ~ ( ~ ( in @ SY227
@ ( dsetconstr @ SV48
@ ^ [SY228: $i] : ( SV98 @ SY228 ) ) )
| ( SV98 @ SY227 ) )
| ~ ( ~ ( SV98 @ SY227 )
| ( in @ SY227
@ ( dsetconstr @ SV48
@ ^ [SY229: $i] : ( SV98 @ SY229 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(352,plain,
! [SV99: $i,SV49: $i] :
( ( ( SV49 != SV99 )
| ! [SY230: $i,SY231: $i] :
( ( SY230 != SY231 )
| ~ ( ~ ( ~ ( in @ SY230 @ SV49 )
| ( in @ SY231 @ SV99 ) )
| ~ ( ~ ( in @ SY231 @ SV99 )
| ( in @ SY230 @ SV49 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(353,plain,
! [SV100: $i > $o,SV50: $i] :
( ( ! [SY232: $i] :
( ~ ( in @ SY232
@ ( dsetconstr @ SV50
@ ^ [SY233: $i] : ( SV100 @ SY233 ) ) )
| ( SV100 @ SY232 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(354,plain,
! [SV51: $i] :
( ( ( ~ ~ ( ~ ( in @ emptyset @ SV51 )
| ~ ! [SY127: $i] :
( ~ ~ ( ~ ( in @ SY127 @ omega )
| ~ ( in @ SY127 @ SV51 ) )
| ( in @ ( setadjoin @ SY127 @ SY127 ) @ SV51 ) ) ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(355,plain,
! [SV52: $i] :
( ( ( ~ ~ ! [SY129: $i] :
~ ( in @ SY129 @ SV52 ) )
= $true )
| ( ( ~ ! [SY130: $i] :
~ ~ ( ~ ( in @ SY130 @ SV52 )
| ~ ~ ~ ! [SY131: $i] :
~ ~ ( ~ ( in @ SY131 @ SY130 )
| ~ ( in @ SY131 @ SV52 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(356,plain,
! [SV53: $i] :
( ( in @ SV53 @ emptyset )
= $false ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(357,plain,
! [SV54: $i,SV101: $i] :
( ( ~ ! [SY234: $i] :
( ~ ( in @ SY234 @ SV101 )
| ( in @ SY234 @ SV54 ) )
| ( in @ SV101 @ ( powerset @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(358,plain,
! [SV55: $i > $i > $o,SV102: $i] :
( ( ~ ! [SY235: $i] :
( ~ ( in @ SY235 @ SV102 )
| ~ ! [SY136: $i] :
~ ~ ( ~ ( SV55 @ SY235 @ SY136 )
| ~ ! [SY137: $i] :
( ~ ( SV55 @ SY235 @ SY137 )
| ( SY136 = SY137 ) ) ) )
| ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(359,plain,
! [SV103: $i > $o,SV56: $i] :
( ( ! [SY242: $i] :
( ~ ( in @ SY242 @ SV56 )
| ~ ( SV103 @ SY242 )
| ( ( dsetconstr @ SV56
@ ^ [SY243: $i] : ( SV103 @ SY243 ) )
!= emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(360,plain,
! [SV57: $o,SV104: $i] :
( ( ~ ( in @ SV104 @ ( prop2set @ SV57 ) )
| SV57 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(362,plain,
! [SV106: $i] :
( ( ~ ( in @ SV106 @ ( prop2set @ $false ) )
| $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(363,plain,
! [SV107: $i,SV58: $i] :
( ( ~ ( in @ SV58 @ ( setadjoin @ SV107 @ emptyset ) )
| ( in @ SV107 @ ( setadjoin @ SV58 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(364,plain,
! [SV59: $i > $o,SV108: $i] :
( ( ~ ( in @ SV108 @ emptyset )
| ( SV59 @ SV108 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(365,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ~ ! [SY244: $i,SY245: $i] :
( ( SY244 != SY245 )
| ~ ( ~ ( ~ ( SV60 @ SY244 )
| ( SV109 @ SY245 ) )
| ~ ( ~ ( SV109 @ SY245 )
| ( SV60 @ SY244 ) ) ) )
| ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(366,plain,
! [SV61: $i > $o] :
( ( ( ~ ~ ! [SY159: $i] :
~ ~ ( ~ ( SV61 @ SY159 )
| ~ ! [SY160: $i] :
( ~ ( SV61 @ SY160 )
| ( SY159 = SY160 ) ) ) )
= $true )
| ( ( ~ ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(367,plain,
! [SV62: $i > $o] :
( ( ( ~ ~ ! [SY162: $i] :
~ ~ ( ~ ( SV62 @ SY162 )
| ~ ! [SY163: $i] :
( ~ ( SV62 @ SY163 )
| ( SY162 = SY163 ) ) ) )
= $true )
| ( ( SV62
@ ( descr
@ ^ [SY164: $i] : ( SV62 @ SY164 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(368,plain,
! [SV63: $i] :
( ( ( ~ ~ ! [SY165: $i] :
~ ( in @ SY165 @ SV63 ) )
= $true )
| ( ( SV63 != emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(369,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( sK1_Xphi @ SX0 )
| ( sK2_SY0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( sK2_SY0 @ SX1 )
| ( sK1_Xphi @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(370,plain,
( ( ~ ~ ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( sK1_Xphi @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK1_Xphi @ SX1 )
| ( SX0 = SX1 ) ) )
| ~ ~ ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( sK2_SY0 @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK2_SY0 @ SX1 )
| ( SX0 = SX1 ) ) )
| ~ ( ( ( descr
@ ^ [SX0: $i] : ( sK1_Xphi @ SX0 ) )
!= ( descr
@ ^ [SX0: $i] : ( sK2_SY0 @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(371,plain,
! [SV64: $i] :
( ( ! [SY166: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY167: $i] :
( ~ ( in @ SY167 @ SY166 )
| ! [SY168: $i] :
( ~ ( in @ SY168 @ SY167 )
| ( in @ SY168 @ SV64 ) ) )
| ~ ! [SY169: $i,SY170: $i] :
( ~ ~ ( ~ ( in @ SY169 @ SV64 )
| ~ ( in @ SY170 @ SV64 ) )
| ~ ! [SX4: $i] :
( ~ ( in @ SX4 @ SY166 )
| ~ ( ~ ( ~ ( in @ SY169 @ SX4 )
| ( in @ SY170 @ SX4 ) )
| ~ ( ~ ( in @ SY170 @ SX4 )
| ( in @ SY169 @ SX4 ) ) ) )
| ( SY169 = SY170 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( in @ SX2 @ SY166 )
| ~ ( in @ SX3 @ SY166 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SX2 )
| ( in @ SX4 @ SX3 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SX3 )
| ( in @ SX4 @ SX2 ) ) ) )
| ~ ! [SY176: $i] :
( ~ ~ ( ~ ! [SY177: $i] :
( ~ ( in @ SY177 @ SY176 )
| ( in @ SY177 @ SV64 ) )
| ~ ~ ! [SX3: $i] :
~ ( in @ SX3 @ SY176 ) )
| ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SX3 @ SY166 )
| ~ ( in @ SX4 @ SY176 ) )
| ~ ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( in @ SX5 @ SX3 )
| ~ ( in @ SX5 @ SY176 ) ) )
| ~ ! [SX5: $i] :
( ~ ( in @ SX5 @ SY166 )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SX5 )
| ( in @ SX6 @ SX3 ) )
| ( in @ SX4 @ SX5 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(372,plain,
! [SV65: $i,SV110: $i] :
( ( ! [SY254: $i] :
( ~ ( in @ SY254 @ SV110 )
| ( in @ SY254 @ ( setadjoin @ SV65 @ SV110 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(373,plain,
! [SV66: $i] :
( ( ( ~ ( in @ SV66 @ omega ) )
= $true )
| ( ( in @ ( setadjoin @ SV66 @ SV66 ) @ omega )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(374,plain,
! [SV67: $i,SV111: $i] :
( ( in @ SV111 @ ( setadjoin @ SV67 @ ( setadjoin @ SV111 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(375,plain,
! [SV112: $i,SV68: $i] :
( ( in @ SV68 @ ( setadjoin @ SV68 @ ( setadjoin @ SV112 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(376,plain,
! [SV113: $i,SV69: $i] :
( ( ! [SY255: $i] :
( ~ ( in @ SY255 @ ( setadjoin @ SV69 @ ( setadjoin @ SV113 @ emptyset ) ) )
| ( SY255 = SV69 )
| ( SY255 = SV113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(377,plain,
! [SV1: $i > $o] :
( ( ( ~ ! [SY17: $i] :
~ ~ ( ~ ( SV1 @ SY17 )
| ~ ! [SY18: $i] :
( ~ ( SV1 @ SY18 )
| ( SY17 = SY18 ) ) ) )
= $false )
| ( ( ! [SY19: $i,SY20: $i] :
( ~ ( SV1 @ SY19 )
| ~ ( SV1 @ SY20 )
| ( SY19 = SY20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(378,plain,
! [SV70: $i,SV2: $i] :
( ( ( SV2 != SV70 )
= $true )
| ( ( ! [SY190: $i,SY191: $i] :
( ( SY190 != SY191 )
| ( ( setadjoin @ SV2 @ SY190 )
= ( setadjoin @ SV70 @ SY191 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(379,plain,
! [SV71: $i,SV4: $i,SV114: $i] :
( ( ~ ( ~ ( ~ ( in @ SV114 @ ( setadjoin @ SV4 @ SV71 ) )
| ( SV114 = SV4 )
| ( in @ SV114 @ SV71 ) )
| ~ ( ~ ( ( SV114 = SV4 )
| ( in @ SV114 @ SV71 ) )
| ( in @ SV114 @ ( setadjoin @ SV4 @ SV71 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(380,plain,
! [SV5: $o] :
( ( SV5 = $false )
| ( ( in @ emptyset @ ( prop2set @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(381,plain,
( ( $true = $false )
| ( ( in @ emptyset @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(383,plain,
! [SV115: $i,SV6: $i,SV72: $i] :
( ( ~ ( in @ SV72 @ ( powerset @ SV6 ) )
| ~ ( in @ SV115 @ SV72 )
| ( in @ SV115 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(384,plain,
! [SV73: $i > $o,SV7: $i] :
( ( ( ~ ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ SV7 )
| ( SV73 @ SY194 ) ) )
= $true )
| ( ( ~ ! [SY195: $i] :
~ ~ ( ~ ( in @ SY195 @ SV7 )
| ~ ~ ( SV73 @ SY195 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(385,plain,
! [SV74: $i > $o,SV8: $i] :
( ( ( ~ ~ ~ ! [SY196: $i] :
~ ~ ( ~ ( in @ SY196 @ SV8 )
| ~ ( SV74 @ SY196 ) ) )
= $true )
| ( ( ! [SY197: $i] :
( ~ ( in @ SY197 @ SV8 )
| ~ ( SV74 @ SY197 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(386,plain,
! [SV9: $i > $o] :
( ( ( ~ ! [SY34: $i] :
~ ~ ( ~ ( SV9 @ SY34 )
| ~ ! [SY35: $i] :
( ~ ( SV9 @ SY35 )
| ( SY34 = SY35 ) ) ) )
= $false )
| ( ( ~ ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(387,plain,
! [SV10: $i,SV75: $i] :
( ( ~ ( ~ ( in @ SV75 @ ( setunion @ SV10 ) )
| ~ ! [SY198: $i] :
~ ~ ( ~ ( in @ SV75 @ SY198 )
| ~ ( in @ SY198 @ SV10 ) ) )
| ~ ( ~ ~ ! [SY199: $i] :
~ ~ ( ~ ( in @ SV75 @ SY199 )
| ~ ( in @ SY199 @ SV10 ) )
| ( in @ SV75 @ ( setunion @ SV10 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(388,plain,
! [SV76: $i > $o,SV11: $i,SV116: $i] :
( ( ~ ( in @ SV116 @ SV11 )
| ~ ( SV76 @ SV116 )
| ( in @ SV116
@ ( dsetconstr @ SV11
@ ^ [SY201: $i] : ( SV76 @ SY201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(389,plain,
! [SV13: $i,SV78: $i] :
( ( ( ~ ( in @ SV78 @ ( setunion @ SV13 ) ) )
= $true )
| ( ( ! [SY202: $o] :
( ~ ! [SY203: $i] :
( ~ ( in @ SV78 @ SY203 )
| ~ ( in @ SY203 @ SV13 )
| SY202 )
| SY202 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(390,plain,
! [SV79: $i > $o,SV14: $i,SV117: $i] :
( ( ~ ( in @ SV117
@ ( dsetconstr @ SV14
@ ^ [SY205: $i] : ( SV79 @ SY205 ) ) )
| ( in @ SV117 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(391,plain,
! [SV15: $i,SV118: $i,SV80: $i] :
( ( ~ ( in @ SV80 @ SV118 )
| ~ ( in @ SV118 @ SV15 )
| ( in @ SV80 @ ( setunion @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(392,plain,
! [SV81: $i,SV16: $i] :
( ( ( ~ ! [SY207: $i] :
~ ( ~ ( ~ ( in @ SY207 @ SV16 )
| ( in @ SY207 @ SV81 ) )
| ~ ( ~ ( in @ SY207 @ SV81 )
| ( in @ SY207 @ SV16 ) ) ) )
= $true )
| ( ( SV16 = SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(393,plain,
! [SV18: $i > $o] :
( ( ( ~ ! [SY55: $i] :
~ ~ ( ~ ( SV18 @ SY55 )
| ~ ! [SY56: $i] :
( ~ ( SV18 @ SY56 )
| ( SY55 = SY56 ) ) ) )
= $false )
| ( ( ~ ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(394,plain,
! [SV20: $i > $o] :
( ( ( ~ ! [SY59: $i] :
~ ( SV20 @ SY59 ) )
= $false )
| ( ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( SV20 @ SY60 )
| ~ ( SV20 @ SY61 )
| ( SY60 = SY61 ) )
| ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(395,plain,
! [SV82: $i,SV21: $i] :
( ( ( ~ ( ( SV21 != SV82 ) ) )
= $true )
| ( ( ~ ( in @ SV82 @ ( setadjoin @ SV21 @ emptyset ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(396,plain,
! [SV83: $i > $o,SV22: $i] :
( ( ( ~ ! [SY208: $i] :
( ~ ( in @ SY208 @ SV22 )
| ~ ( SV83 @ SY208 ) ) )
= $true )
| ( ( ~ ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ SV22 )
| ~ ( SV83 @ SY209 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(397,plain,
! [SV23: $i] :
( ( ( SV23 != emptyset )
= $false )
| ( ( ~ ! [SY68: $i] :
~ ~ ( ~ ( in @ SY68 @ SV23 )
| ~ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(398,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( set2prop @ ( prop2set @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(399,plain,
( ( $true = $false )
| ( ( set2prop @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(401,plain,
! [SV25: $i] :
( ( ( in @ SV25 @ emptyset )
= $false )
| ( ( ! [SX1: $o] : SX1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(402,plain,
! [SV26: $i] :
( ( ( ! [SY70: $i] :
~ ( in @ SY70 @ SV26 ) )
= $false )
| ( ( SV26 = emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(403,plain,
! [SV84: $i,SV27: $i] :
( ( ( SV27 != SV84 )
= $true )
| ( ( ( setunion @ SV27 )
= ( setunion @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(404,plain,
! [SV85: $i > $o,SV29: $i] :
( ( ( ~ ~ ! [SY210: $i] :
~ ~ ( ~ ( in @ SY210 @ SV29 )
| ~ ~ ( SV85 @ SY210 ) ) )
= $true )
| ( ( ~ ! [SY211: $i] :
( ~ ( in @ SY211 @ SV29 )
| ( SV85 @ SY211 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(405,plain,
! [SV86: $i > $o,SV30: $i] :
( ( ( ~ ~ ! [SY212: $i] :
~ ~ ( ~ ( in @ SY212 @ SV30 )
| ~ ( SV86 @ SY212 ) ) )
= $true )
| ( ( ( ( dsetconstr @ SV30
@ ^ [SY213: $i] : ( SV86 @ SY213 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(406,plain,
! [SV31: $i > $o] :
( ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( SV31 @ SY79 )
| ~ ! [SY80: $i] :
( ~ ( SV31 @ SY80 )
| ( SY79 = SY80 ) ) ) )
= $false )
| ( ( ! [SY81: $i,SY82: $i] :
( ~ ( SV31 @ SY81 )
| ~ ( SV31 @ SY82 )
| ( SY81 = SY82 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(407,plain,
! [SV32: $i > $o] :
( ( ( ~ ! [SY83: $i] :
~ ! [SY84: $i] :
~ ( ~ ( ~ ( SV32 @ SY84 )
| ( SY84 = SY83 ) )
| ~ ( ( SY84 != SY83 )
| ( SV32 @ SY84 ) ) ) )
= $false )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(408,plain,
! [SV33: $i] :
( ( ( in @ SV33 @ emptyset )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(409,plain,
! [SV87: $i,SV34: $i] :
( ( ( SV34 != SV87 )
= $true )
| ( ( ( powerset @ SV34 )
= ( powerset @ SV87 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(410,plain,
! [SV35: $i,SV88: $i] :
( ( ( ~ ( in @ SV88 @ SV35 ) )
= $true )
| ( ( in @ SV88 @ ( powerset @ ( setunion @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(411,plain,
! [SV89: $i,SV36: $i] :
( ( ( SV36 != SV89 )
= $true )
| ( ( in @ SV36 @ ( setadjoin @ SV89 @ emptyset ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(412,plain,
! [SV90: $i,SV37: $i] :
( ( ( ~ ! [SY214: $i] :
( ~ ( in @ SY214 @ SV37 )
| ( in @ SY214 @ SV90 ) ) )
= $true )
| ( ( ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ SV90 )
| ( in @ SY215 @ SV37 ) )
| ( SV37 = SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(413,plain,
! [SV91: $i,SV38: $i] :
( ( ( ~ ( in @ SV38 @ ( setadjoin @ SV91 @ emptyset ) ) )
= $true )
| ( ( SV38 = SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(414,plain,
! [SV39: $i] :
( ( ( ! [SY94: $i] :
~ ( in @ SY94 @ SV39 ) )
= $false )
| ( ( SV39 = emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(415,plain,
! [SV40: $i] :
( ( ( SV40 != emptyset )
= $false )
| ( ( ~ ! [SY95: $i] :
~ ( in @ SY95 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(416,plain,
! [SV92: $i,SV41: $i] :
( ( ( SV41 != SV92 )
= $true )
| ( ( ! [SY216: $i,SY217: $i] :
( ( SY216 != SY217 )
| ~ ( in @ SY216 @ SV41 )
| ( in @ SY217 @ SV92 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(417,plain,
! [SV42: $i > $o] :
( ( ( ~ ! [SY99: $i] :
~ ~ ( ~ ( SV42 @ SY99 )
| ~ ! [SY100: $i] :
( ~ ( SV42 @ SY100 )
| ( SY99 = SY100 ) ) ) )
= $false )
| ( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(418,plain,
! [SV93: $i > $o,SV43: $i] :
( ( ( ~ ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ SV43 )
| ( SV93 @ SY218 ) ) )
= $true )
| ( ( ~ ! [SY219: $i] :
~ ~ ( ~ ( in @ SY219 @ SV43 )
| ~ ~ ( SV93 @ SY219 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(419,plain,
! [SV94: $i,SV44: $i,SV119: $i] :
( ( ~ ( in @ SV119 @ ( setadjoin @ SV44 @ SV94 ) )
| ( SV119 = SV44 )
| ( in @ SV119 @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(420,plain,
! [SV95: $i > $o,SV45: $i] :
( ( ( ~ ~ ~ ! [SY221: $i] :
~ ~ ( ~ ( in @ SY221 @ SV45 )
| ~ ( SV95 @ SY221 ) ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( in @ SY222 @ SV45 )
| ~ ( SV95 @ SY222 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(421,plain,
! [SV96: $i,SV46: $i,SV120: $i] :
( ( ~ ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
| ! [SY258: $o] :
( ~ ( ( SV120 != SV46 )
| SY258 )
| ~ ( ~ ( in @ SV120 @ SV96 )
| SY258 )
| SY258 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(422,plain,
! [SV47: $i,SV97: $i] :
( ( ~ ( ~ ( in @ SV97 @ ( powerset @ SV47 ) )
| ! [SY225: $i] :
( ~ ( in @ SY225 @ SV97 )
| ( in @ SY225 @ SV47 ) ) )
| ~ ( ~ ! [SY226: $i] :
( ~ ( in @ SY226 @ SV97 )
| ( in @ SY226 @ SV47 ) )
| ( in @ SV97 @ ( powerset @ SV47 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(423,plain,
! [SV98: $i > $o,SV48: $i,SV121: $i] :
( ( ~ ( in @ SV121 @ SV48 )
| ~ ( ~ ( ~ ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY228: $i] : ( SV98 @ SY228 ) ) )
| ( SV98 @ SV121 ) )
| ~ ( ~ ( SV98 @ SV121 )
| ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY229: $i] : ( SV98 @ SY229 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(424,plain,
! [SV99: $i,SV49: $i] :
( ( ( SV49 != SV99 )
= $true )
| ( ( ! [SY230: $i,SY231: $i] :
( ( SY230 != SY231 )
| ~ ( ~ ( ~ ( in @ SY230 @ SV49 )
| ( in @ SY231 @ SV99 ) )
| ~ ( ~ ( in @ SY231 @ SV99 )
| ( in @ SY230 @ SV49 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(425,plain,
! [SV100: $i > $o,SV50: $i,SV122: $i] :
( ( ~ ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SY233: $i] : ( SV100 @ SY233 ) ) )
| ( SV100 @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(426,plain,
! [SV51: $i] :
( ( ( ~ ( ~ ( in @ emptyset @ SV51 )
| ~ ! [SY127: $i] :
( ~ ~ ( ~ ( in @ SY127 @ omega )
| ~ ( in @ SY127 @ SV51 ) )
| ( in @ ( setadjoin @ SY127 @ SY127 ) @ SV51 ) ) ) )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(427,plain,
! [SV52: $i] :
( ( ( ~ ! [SY129: $i] :
~ ( in @ SY129 @ SV52 ) )
= $false )
| ( ( ~ ! [SY130: $i] :
~ ~ ( ~ ( in @ SY130 @ SV52 )
| ~ ~ ~ ! [SY131: $i] :
~ ~ ( ~ ( in @ SY131 @ SY130 )
| ~ ( in @ SY131 @ SV52 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(428,plain,
! [SV54: $i,SV101: $i] :
( ( ( ~ ! [SY234: $i] :
( ~ ( in @ SY234 @ SV101 )
| ( in @ SY234 @ SV54 ) ) )
= $true )
| ( ( in @ SV101 @ ( powerset @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(429,plain,
! [SV55: $i > $i > $o,SV102: $i] :
( ( ( ~ ! [SY235: $i] :
( ~ ( in @ SY235 @ SV102 )
| ~ ! [SY136: $i] :
~ ~ ( ~ ( SV55 @ SY235 @ SY136 )
| ~ ! [SY137: $i] :
( ~ ( SV55 @ SY235 @ SY137 )
| ( SY136 = SY137 ) ) ) ) )
= $true )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(430,plain,
! [SV103: $i > $o,SV56: $i,SV123: $i] :
( ( ~ ( in @ SV123 @ SV56 )
| ~ ( SV103 @ SV123 )
| ( ( dsetconstr @ SV56
@ ^ [SY243: $i] : ( SV103 @ SY243 ) )
!= emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(431,plain,
! [SV57: $o,SV104: $i] :
( ( ( ~ ( in @ SV104 @ ( prop2set @ SV57 ) ) )
= $true )
| ( SV57 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(433,plain,
! [SV106: $i] :
( ( ( ~ ( in @ SV106 @ ( prop2set @ $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(434,plain,
! [SV107: $i,SV58: $i] :
( ( ( ~ ( in @ SV58 @ ( setadjoin @ SV107 @ emptyset ) ) )
= $true )
| ( ( in @ SV107 @ ( setadjoin @ SV58 @ emptyset ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(435,plain,
! [SV59: $i > $o,SV108: $i] :
( ( ( ~ ( in @ SV108 @ emptyset ) )
= $true )
| ( ( SV59 @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(436,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ! [SY244: $i,SY245: $i] :
( ( SY244 != SY245 )
| ~ ( ~ ( ~ ( SV60 @ SY244 )
| ( SV109 @ SY245 ) )
| ~ ( ~ ( SV109 @ SY245 )
| ( SV60 @ SY244 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(437,plain,
! [SV61: $i > $o] :
( ( ( ~ ! [SY159: $i] :
~ ~ ( ~ ( SV61 @ SY159 )
| ~ ! [SY160: $i] :
( ~ ( SV61 @ SY160 )
| ( SY159 = SY160 ) ) ) )
= $false )
| ( ( ~ ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(438,plain,
! [SV62: $i > $o] :
( ( ( ~ ! [SY162: $i] :
~ ~ ( ~ ( SV62 @ SY162 )
| ~ ! [SY163: $i] :
( ~ ( SV62 @ SY163 )
| ( SY162 = SY163 ) ) ) )
= $false )
| ( ( SV62
@ ( descr
@ ^ [SY164: $i] : ( SV62 @ SY164 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(439,plain,
! [SV63: $i] :
( ( ( ~ ! [SY165: $i] :
~ ( in @ SY165 @ SV63 ) )
= $false )
| ( ( SV63 != emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(440,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( sK1_Xphi @ SX0 )
| ( sK2_SY0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( sK2_SY0 @ SX1 )
| ( sK1_Xphi @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(441,plain,
( ( ~ ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( sK1_Xphi @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK1_Xphi @ SX1 )
| ( SX0 = SX1 ) ) )
| ~ ~ ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( sK2_SY0 @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK2_SY0 @ SX1 )
| ( SX0 = SX1 ) ) )
| ~ ( ( ( descr
@ ^ [SX0: $i] : ( sK1_Xphi @ SX0 ) )
!= ( descr
@ ^ [SX0: $i] : ( sK2_SY0 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(442,plain,
! [SV64: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK3_SY166 @ SV64 ) )
| ! [SY168: $i] :
( ~ ( in @ SY168 @ SY263 )
| ( in @ SY168 @ SV64 ) ) )
| ~ ! [SY265: $i,SY266: $i] :
( ~ ~ ( ~ ( in @ SY265 @ SV64 )
| ~ ( in @ SY266 @ SV64 ) )
| ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SY265 @ SY267 )
| ( in @ SY266 @ SY267 ) )
| ~ ( ~ ( in @ SY266 @ SY267 )
| ( in @ SY265 @ SY267 ) ) ) )
| ( SY265 = SY266 ) ) )
| ~ ! [SY268: $i,SY269: $i] :
( ~ ~ ( ~ ( in @ SY268 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY269 @ ( sK3_SY166 @ SV64 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY268 )
| ( in @ SX4 @ SY269 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY269 )
| ( in @ SX4 @ SY268 ) ) ) )
| ~ ! [SY272: $i] :
( ~ ~ ( ~ ! [SY177: $i] :
( ~ ( in @ SY177 @ SY272 )
| ( in @ SY177 @ SV64 ) )
| ~ ~ ! [SX3: $i] :
~ ( in @ SX3 @ SY272 ) )
| ~ ! [SY275: $i] :
~ ~ ! [SY276: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY275 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY276 @ SY272 ) )
| ~ ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( in @ SX5 @ SY275 )
| ~ ( in @ SX5 @ SY272 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY275 ) )
| ( in @ SY276 @ SY278 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[371]) ).
thf(443,plain,
! [SV65: $i,SV110: $i,SV124: $i] :
( ( ~ ( in @ SV124 @ SV110 )
| ( in @ SV124 @ ( setadjoin @ SV65 @ SV110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(444,plain,
! [SV66: $i] :
( ( ( in @ SV66 @ omega )
= $false )
| ( ( in @ ( setadjoin @ SV66 @ SV66 ) @ omega )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(445,plain,
! [SV113: $i,SV69: $i,SV125: $i] :
( ( ~ ( in @ SV125 @ ( setadjoin @ SV69 @ ( setadjoin @ SV113 @ emptyset ) ) )
| ( SV125 = SV69 )
| ( SV125 = SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(446,plain,
! [SV1: $i > $o] :
( ( ( ! [SY17: $i] :
~ ~ ( ~ ( SV1 @ SY17 )
| ~ ! [SY18: $i] :
( ~ ( SV1 @ SY18 )
| ( SY17 = SY18 ) ) ) )
= $true )
| ( ( ! [SY19: $i,SY20: $i] :
( ~ ( SV1 @ SY19 )
| ~ ( SV1 @ SY20 )
| ( SY19 = SY20 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(447,plain,
! [SV70: $i,SV2: $i] :
( ( ( SV2 = SV70 )
= $false )
| ( ( ! [SY190: $i,SY191: $i] :
( ( SY190 != SY191 )
| ( ( setadjoin @ SV2 @ SY190 )
= ( setadjoin @ SV70 @ SY191 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(448,plain,
! [SV71: $i,SV4: $i,SV114: $i] :
( ( ~ ( ~ ( in @ SV114 @ ( setadjoin @ SV4 @ SV71 ) )
| ( SV114 = SV4 )
| ( in @ SV114 @ SV71 ) )
| ~ ( ~ ( ( SV114 = SV4 )
| ( in @ SV114 @ SV71 ) )
| ( in @ SV114 @ ( setadjoin @ SV4 @ SV71 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(449,plain,
! [SV115: $i,SV6: $i,SV72: $i] :
( ( ( ~ ( in @ SV72 @ ( powerset @ SV6 ) ) )
= $true )
| ( ( ~ ( in @ SV115 @ SV72 )
| ( in @ SV115 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(450,plain,
! [SV73: $i > $o,SV7: $i] :
( ( ( ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ SV7 )
| ( SV73 @ SY194 ) ) )
= $false )
| ( ( ~ ! [SY195: $i] :
~ ~ ( ~ ( in @ SY195 @ SV7 )
| ~ ~ ( SV73 @ SY195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(451,plain,
! [SV74: $i > $o,SV8: $i] :
( ( ( ~ ~ ! [SY196: $i] :
~ ~ ( ~ ( in @ SY196 @ SV8 )
| ~ ( SV74 @ SY196 ) ) )
= $false )
| ( ( ! [SY197: $i] :
( ~ ( in @ SY197 @ SV8 )
| ~ ( SV74 @ SY197 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(452,plain,
! [SV9: $i > $o] :
( ( ( ! [SY34: $i] :
~ ~ ( ~ ( SV9 @ SY34 )
| ~ ! [SY35: $i] :
( ~ ( SV9 @ SY35 )
| ( SY34 = SY35 ) ) ) )
= $true )
| ( ( ~ ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(453,plain,
! [SV10: $i,SV75: $i] :
( ( ~ ( ~ ( in @ SV75 @ ( setunion @ SV10 ) )
| ~ ! [SY198: $i] :
~ ~ ( ~ ( in @ SV75 @ SY198 )
| ~ ( in @ SY198 @ SV10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(454,plain,
! [SV10: $i,SV75: $i] :
( ( ~ ( ~ ~ ! [SY199: $i] :
~ ~ ( ~ ( in @ SV75 @ SY199 )
| ~ ( in @ SY199 @ SV10 ) )
| ( in @ SV75 @ ( setunion @ SV10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(455,plain,
! [SV76: $i > $o,SV11: $i,SV116: $i] :
( ( ( ~ ( in @ SV116 @ SV11 ) )
= $true )
| ( ( ~ ( SV76 @ SV116 )
| ( in @ SV116
@ ( dsetconstr @ SV11
@ ^ [SY201: $i] : ( SV76 @ SY201 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(456,plain,
! [SV13: $i,SV78: $i] :
( ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false )
| ( ( ! [SY202: $o] :
( ~ ! [SY203: $i] :
( ~ ( in @ SV78 @ SY203 )
| ~ ( in @ SY203 @ SV13 )
| SY202 )
| SY202 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(457,plain,
! [SV79: $i > $o,SV14: $i,SV117: $i] :
( ( ( ~ ( in @ SV117
@ ( dsetconstr @ SV14
@ ^ [SY205: $i] : ( SV79 @ SY205 ) ) ) )
= $true )
| ( ( in @ SV117 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(458,plain,
! [SV15: $i,SV118: $i,SV80: $i] :
( ( ( ~ ( in @ SV80 @ SV118 ) )
= $true )
| ( ( ~ ( in @ SV118 @ SV15 )
| ( in @ SV80 @ ( setunion @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(459,plain,
! [SV81: $i,SV16: $i] :
( ( ( ! [SY207: $i] :
~ ( ~ ( ~ ( in @ SY207 @ SV16 )
| ( in @ SY207 @ SV81 ) )
| ~ ( ~ ( in @ SY207 @ SV81 )
| ( in @ SY207 @ SV16 ) ) ) )
= $false )
| ( ( SV16 = SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(460,plain,
! [SV18: $i > $o] :
( ( ( ! [SY55: $i] :
~ ~ ( ~ ( SV18 @ SY55 )
| ~ ! [SY56: $i] :
( ~ ( SV18 @ SY56 )
| ( SY55 = SY56 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[393]) ).
thf(461,plain,
! [SV20: $i > $o] :
( ( ( ! [SY59: $i] :
~ ( SV20 @ SY59 ) )
= $true )
| ( ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( SV20 @ SY60 )
| ~ ( SV20 @ SY61 )
| ( SY60 = SY61 ) )
| ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(462,plain,
! [SV82: $i,SV21: $i] :
( ( ( SV21 != SV82 )
= $false )
| ( ( ~ ( in @ SV82 @ ( setadjoin @ SV21 @ emptyset ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(463,plain,
! [SV83: $i > $o,SV22: $i] :
( ( ( ! [SY208: $i] :
( ~ ( in @ SY208 @ SV22 )
| ~ ( SV83 @ SY208 ) ) )
= $false )
| ( ( ~ ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ SV22 )
| ~ ( SV83 @ SY209 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(464,plain,
! [SV23: $i] :
( ( ( SV23 = emptyset )
= $true )
| ( ( ~ ! [SY68: $i] :
~ ~ ( ~ ( in @ SY68 @ SV23 )
| ~ $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(465,plain,
! [SV25: $i,SV126: $o] :
( ( SV126 = $true )
| ( ( in @ SV25 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[401]) ).
thf(467,plain,
! [SV25: $i] :
( ( $false = $true )
| ( ( in @ SV25 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[401]) ).
thf(468,plain,
! [SV26: $i] :
( ( ( ~ ( in @ ( sK4_SY70 @ SV26 ) @ SV26 ) )
= $false )
| ( ( SV26 = emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[402]) ).
thf(469,plain,
! [SV84: $i,SV27: $i] :
( ( ( SV27 = SV84 )
= $false )
| ( ( ( setunion @ SV27 )
= ( setunion @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(470,plain,
! [SV85: $i > $o,SV29: $i] :
( ( ( ~ ! [SY210: $i] :
~ ~ ( ~ ( in @ SY210 @ SV29 )
| ~ ~ ( SV85 @ SY210 ) ) )
= $false )
| ( ( ~ ! [SY211: $i] :
( ~ ( in @ SY211 @ SV29 )
| ( SV85 @ SY211 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(471,plain,
! [SV86: $i > $o,SV30: $i] :
( ( ( ~ ! [SY212: $i] :
~ ~ ( ~ ( in @ SY212 @ SV30 )
| ~ ( SV86 @ SY212 ) ) )
= $false )
| ( ( ( ( dsetconstr @ SV30
@ ^ [SY213: $i] : ( SV86 @ SY213 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(472,plain,
! [SV31: $i > $o] :
( ( ( ! [SY79: $i] :
~ ~ ( ~ ( SV31 @ SY79 )
| ~ ! [SY80: $i] :
( ~ ( SV31 @ SY80 )
| ( SY79 = SY80 ) ) ) )
= $true )
| ( ( ! [SY81: $i,SY82: $i] :
( ~ ( SV31 @ SY81 )
| ~ ( SV31 @ SY82 )
| ( SY81 = SY82 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(473,plain,
! [SV32: $i > $o] :
( ( ( ! [SY83: $i] :
~ ! [SY84: $i] :
~ ( ~ ( ~ ( SV32 @ SY84 )
| ( SY84 = SY83 ) )
| ~ ( ( SY84 != SY83 )
| ( SV32 @ SY84 ) ) ) )
= $true )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(474,plain,
! [SV87: $i,SV34: $i] :
( ( ( SV34 = SV87 )
= $false )
| ( ( ( powerset @ SV34 )
= ( powerset @ SV87 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(475,plain,
! [SV35: $i,SV88: $i] :
( ( ( in @ SV88 @ SV35 )
= $false )
| ( ( in @ SV88 @ ( powerset @ ( setunion @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(476,plain,
! [SV89: $i,SV36: $i] :
( ( ( SV36 = SV89 )
= $false )
| ( ( in @ SV36 @ ( setadjoin @ SV89 @ emptyset ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(477,plain,
! [SV90: $i,SV37: $i] :
( ( ( ! [SY214: $i] :
( ~ ( in @ SY214 @ SV37 )
| ( in @ SY214 @ SV90 ) ) )
= $false )
| ( ( ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ SV90 )
| ( in @ SY215 @ SV37 ) )
| ( SV37 = SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(478,plain,
! [SV91: $i,SV38: $i] :
( ( ( in @ SV38 @ ( setadjoin @ SV91 @ emptyset ) )
= $false )
| ( ( SV38 = SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(479,plain,
! [SV39: $i] :
( ( ( ~ ( in @ ( sK5_SY94 @ SV39 ) @ SV39 ) )
= $false )
| ( ( SV39 = emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[414]) ).
thf(480,plain,
! [SV40: $i] :
( ( ( SV40 = emptyset )
= $true )
| ( ( ~ ! [SY95: $i] :
~ ( in @ SY95 @ SV40 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(481,plain,
! [SV92: $i,SV41: $i] :
( ( ( SV41 = SV92 )
= $false )
| ( ( ! [SY216: $i,SY217: $i] :
( ( SY216 != SY217 )
| ~ ( in @ SY216 @ SV41 )
| ( in @ SY217 @ SV92 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(482,plain,
! [SV42: $i > $o] :
( ( ( ! [SY99: $i] :
~ ~ ( ~ ( SV42 @ SY99 )
| ~ ! [SY100: $i] :
( ~ ( SV42 @ SY100 )
| ( SY99 = SY100 ) ) ) )
= $true )
| ( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(483,plain,
! [SV93: $i > $o,SV43: $i] :
( ( ( ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ SV43 )
| ( SV93 @ SY218 ) ) )
= $false )
| ( ( ~ ! [SY219: $i] :
~ ~ ( ~ ( in @ SY219 @ SV43 )
| ~ ~ ( SV93 @ SY219 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(484,plain,
! [SV94: $i,SV44: $i,SV119: $i] :
( ( ( ~ ( in @ SV119 @ ( setadjoin @ SV44 @ SV94 ) ) )
= $true )
| ( ( ( SV119 = SV44 )
| ( in @ SV119 @ SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(485,plain,
! [SV95: $i > $o,SV45: $i] :
( ( ( ~ ~ ! [SY221: $i] :
~ ~ ( ~ ( in @ SY221 @ SV45 )
| ~ ( SV95 @ SY221 ) ) )
= $false )
| ( ( ! [SY222: $i] :
( ~ ( in @ SY222 @ SV45 )
| ~ ( SV95 @ SY222 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(486,plain,
! [SV96: $i,SV46: $i,SV120: $i] :
( ( ( ~ ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) ) )
= $true )
| ( ( ! [SY258: $o] :
( ~ ( ( SV120 != SV46 )
| SY258 )
| ~ ( ~ ( in @ SV120 @ SV96 )
| SY258 )
| SY258 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(487,plain,
! [SV47: $i,SV97: $i] :
( ( ~ ( ~ ( in @ SV97 @ ( powerset @ SV47 ) )
| ! [SY225: $i] :
( ~ ( in @ SY225 @ SV97 )
| ( in @ SY225 @ SV47 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(488,plain,
! [SV47: $i,SV97: $i] :
( ( ~ ( ~ ! [SY226: $i] :
( ~ ( in @ SY226 @ SV97 )
| ( in @ SY226 @ SV47 ) )
| ( in @ SV97 @ ( powerset @ SV47 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(489,plain,
! [SV98: $i > $o,SV48: $i,SV121: $i] :
( ( ( ~ ( in @ SV121 @ SV48 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY228: $i] : ( SV98 @ SY228 ) ) )
| ( SV98 @ SV121 ) )
| ~ ( ~ ( SV98 @ SV121 )
| ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY229: $i] : ( SV98 @ SY229 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(490,plain,
! [SV99: $i,SV49: $i] :
( ( ( SV49 = SV99 )
= $false )
| ( ( ! [SY230: $i,SY231: $i] :
( ( SY230 != SY231 )
| ~ ( ~ ( ~ ( in @ SY230 @ SV49 )
| ( in @ SY231 @ SV99 ) )
| ~ ( ~ ( in @ SY231 @ SV99 )
| ( in @ SY230 @ SV49 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(491,plain,
! [SV100: $i > $o,SV50: $i,SV122: $i] :
( ( ( ~ ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SY233: $i] : ( SV100 @ SY233 ) ) ) )
= $true )
| ( ( SV100 @ SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(492,plain,
! [SV51: $i] :
( ( ( ~ ( in @ emptyset @ SV51 )
| ~ ! [SY127: $i] :
( ~ ~ ( ~ ( in @ SY127 @ omega )
| ~ ( in @ SY127 @ SV51 ) )
| ( in @ ( setadjoin @ SY127 @ SY127 ) @ SV51 ) ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(493,plain,
! [SV52: $i] :
( ( ( ! [SY129: $i] :
~ ( in @ SY129 @ SV52 ) )
= $true )
| ( ( ~ ! [SY130: $i] :
~ ~ ( ~ ( in @ SY130 @ SV52 )
| ~ ~ ~ ! [SY131: $i] :
~ ~ ( ~ ( in @ SY131 @ SY130 )
| ~ ( in @ SY131 @ SV52 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(494,plain,
! [SV54: $i,SV101: $i] :
( ( ( ! [SY234: $i] :
( ~ ( in @ SY234 @ SV101 )
| ( in @ SY234 @ SV54 ) ) )
= $false )
| ( ( in @ SV101 @ ( powerset @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(495,plain,
! [SV55: $i > $i > $o,SV102: $i] :
( ( ( ! [SY235: $i] :
( ~ ( in @ SY235 @ SV102 )
| ~ ! [SY136: $i] :
~ ~ ( ~ ( SV55 @ SY235 @ SY136 )
| ~ ! [SY137: $i] :
( ~ ( SV55 @ SY235 @ SY137 )
| ( SY136 = SY137 ) ) ) ) )
= $false )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(496,plain,
! [SV103: $i > $o,SV56: $i,SV123: $i] :
( ( ( ~ ( in @ SV123 @ SV56 ) )
= $true )
| ( ( ~ ( SV103 @ SV123 )
| ( ( dsetconstr @ SV56
@ ^ [SY243: $i] : ( SV103 @ SY243 ) )
!= emptyset ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(497,plain,
! [SV57: $o,SV104: $i] :
( ( ( in @ SV104 @ ( prop2set @ SV57 ) )
= $false )
| ( SV57 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(499,plain,
! [SV106: $i] :
( ( ( in @ SV106 @ ( prop2set @ $false ) )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(500,plain,
! [SV107: $i,SV58: $i] :
( ( ( in @ SV58 @ ( setadjoin @ SV107 @ emptyset ) )
= $false )
| ( ( in @ SV107 @ ( setadjoin @ SV58 @ emptyset ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(501,plain,
! [SV59: $i > $o,SV108: $i] :
( ( ( in @ SV108 @ emptyset )
= $false )
| ( ( SV59 @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(502,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ! [SY244: $i,SY245: $i] :
( ( SY244 != SY245 )
| ~ ( ~ ( ~ ( SV60 @ SY244 )
| ( SV109 @ SY245 ) )
| ~ ( ~ ( SV109 @ SY245 )
| ( SV60 @ SY244 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(503,plain,
! [SV61: $i > $o] :
( ( ( ! [SY159: $i] :
~ ~ ( ~ ( SV61 @ SY159 )
| ~ ! [SY160: $i] :
( ~ ( SV61 @ SY160 )
| ( SY159 = SY160 ) ) ) )
= $true )
| ( ( ~ ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(504,plain,
! [SV62: $i > $o] :
( ( ( ! [SY162: $i] :
~ ~ ( ~ ( SV62 @ SY162 )
| ~ ! [SY163: $i] :
( ~ ( SV62 @ SY163 )
| ( SY162 = SY163 ) ) ) )
= $true )
| ( ( SV62
@ ( descr
@ ^ [SY164: $i] : ( SV62 @ SY164 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(505,plain,
! [SV63: $i] :
( ( ( ! [SY165: $i] :
~ ( in @ SY165 @ SV63 ) )
= $true )
| ( ( SV63 != emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(506,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( sK1_Xphi @ SX0 )
| ( sK2_SY0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( sK2_SY0 @ SX1 )
| ( sK1_Xphi @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(507,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( sK1_Xphi @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK1_Xphi @ SX1 )
| ( SX0 = SX1 ) ) )
| ~ ~ ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( sK2_SY0 @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK2_SY0 @ SX1 )
| ( SX0 = SX1 ) ) )
| ~ ( ( ( descr
@ ^ [SX0: $i] : ( sK1_Xphi @ SX0 ) )
!= ( descr
@ ^ [SX0: $i] : ( sK2_SY0 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(508,plain,
! [SV64: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK3_SY166 @ SV64 ) )
| ! [SY168: $i] :
( ~ ( in @ SY168 @ SY263 )
| ( in @ SY168 @ SV64 ) ) )
| ~ ! [SY265: $i,SY266: $i] :
( ~ ~ ( ~ ( in @ SY265 @ SV64 )
| ~ ( in @ SY266 @ SV64 ) )
| ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SY265 @ SY267 )
| ( in @ SY266 @ SY267 ) )
| ~ ( ~ ( in @ SY266 @ SY267 )
| ( in @ SY265 @ SY267 ) ) ) )
| ( SY265 = SY266 ) ) )
| ~ ! [SY268: $i,SY269: $i] :
( ~ ~ ( ~ ( in @ SY268 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY269 @ ( sK3_SY166 @ SV64 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY268 )
| ( in @ SX4 @ SY269 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY269 )
| ( in @ SX4 @ SY268 ) ) ) )
| ~ ! [SY272: $i] :
( ~ ~ ( ~ ! [SY177: $i] :
( ~ ( in @ SY177 @ SY272 )
| ( in @ SY177 @ SV64 ) )
| ~ ~ ! [SX3: $i] :
~ ( in @ SX3 @ SY272 ) )
| ~ ! [SY275: $i] :
~ ~ ! [SY276: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY275 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY276 @ SY272 ) )
| ~ ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( in @ SX5 @ SY275 )
| ~ ( in @ SX5 @ SY272 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY275 ) )
| ( in @ SY276 @ SY278 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(509,plain,
! [SV65: $i,SV110: $i,SV124: $i] :
( ( ( ~ ( in @ SV124 @ SV110 ) )
= $true )
| ( ( in @ SV124 @ ( setadjoin @ SV65 @ SV110 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(510,plain,
! [SV113: $i,SV69: $i,SV125: $i] :
( ( ( ~ ( in @ SV125 @ ( setadjoin @ SV69 @ ( setadjoin @ SV113 @ emptyset ) ) ) )
= $true )
| ( ( ( SV125 = SV69 )
| ( SV125 = SV113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(511,plain,
! [SV127: $i,SV1: $i > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ SV127 )
| ~ ! [SY280: $i] :
( ~ ( SV1 @ SY280 )
| ( SV127 = SY280 ) ) ) )
= $true )
| ( ( ! [SY19: $i,SY20: $i] :
( ~ ( SV1 @ SY19 )
| ~ ( SV1 @ SY20 )
| ( SY19 = SY20 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(512,plain,
! [SV70: $i,SV2: $i,SV128: $i] :
( ( ( ! [SY281: $i] :
( ( SV128 != SY281 )
| ( ( setadjoin @ SV2 @ SV128 )
= ( setadjoin @ SV70 @ SY281 ) ) ) )
= $true )
| ( ( SV2 = SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(513,plain,
! [SV71: $i,SV4: $i,SV114: $i] :
( ( ~ ( ~ ( in @ SV114 @ ( setadjoin @ SV4 @ SV71 ) )
| ( SV114 = SV4 )
| ( in @ SV114 @ SV71 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(514,plain,
! [SV71: $i,SV4: $i,SV114: $i] :
( ( ~ ( ~ ( ( SV114 = SV4 )
| ( in @ SV114 @ SV71 ) )
| ( in @ SV114 @ ( setadjoin @ SV4 @ SV71 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(515,plain,
! [SV115: $i,SV6: $i,SV72: $i] :
( ( ( in @ SV72 @ ( powerset @ SV6 ) )
= $false )
| ( ( ~ ( in @ SV115 @ SV72 )
| ( in @ SV115 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(516,plain,
! [SV73: $i > $o,SV7: $i] :
( ( ( ! [SY194: $i] :
( ~ ( in @ SY194 @ SV7 )
| ( SV73 @ SY194 ) ) )
= $true )
| ( ( ~ ! [SY195: $i] :
~ ~ ( ~ ( in @ SY195 @ SV7 )
| ~ ~ ( SV73 @ SY195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(517,plain,
! [SV74: $i > $o,SV8: $i] :
( ( ( ~ ! [SY196: $i] :
~ ~ ( ~ ( in @ SY196 @ SV8 )
| ~ ( SV74 @ SY196 ) ) )
= $true )
| ( ( ! [SY197: $i] :
( ~ ( in @ SY197 @ SV8 )
| ~ ( SV74 @ SY197 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(518,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ~ ( ~ ( SV9 @ SV129 )
| ~ ! [SY282: $i] :
( ~ ( SV9 @ SY282 )
| ( SV129 = SY282 ) ) ) )
= $true )
| ( ( ~ ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(519,plain,
! [SV10: $i,SV75: $i] :
( ( ~ ( in @ SV75 @ ( setunion @ SV10 ) )
| ~ ! [SY198: $i] :
~ ~ ( ~ ( in @ SV75 @ SY198 )
| ~ ( in @ SY198 @ SV10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(520,plain,
! [SV10: $i,SV75: $i] :
( ( ~ ~ ! [SY199: $i] :
~ ~ ( ~ ( in @ SV75 @ SY199 )
| ~ ( in @ SY199 @ SV10 ) )
| ( in @ SV75 @ ( setunion @ SV10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(521,plain,
! [SV76: $i > $o,SV11: $i,SV116: $i] :
( ( ( in @ SV116 @ SV11 )
= $false )
| ( ( ~ ( SV76 @ SV116 )
| ( in @ SV116
@ ( dsetconstr @ SV11
@ ^ [SY201: $i] : ( SV76 @ SY201 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(522,plain,
! [SV130: $o,SV13: $i,SV78: $i] :
( ( ( ~ ! [SY283: $i] :
( ~ ( in @ SV78 @ SY283 )
| ~ ( in @ SY283 @ SV13 )
| SV130 )
| SV130 )
= $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[456]) ).
thf(524,plain,
! [SV13: $i,SV78: $i] :
( ( ( ~ ! [SX0: $i] :
( ~ ( in @ SV78 @ SX0 )
| ~ ( in @ SX0 @ SV13 )
| $false )
| $false )
= $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[456]) ).
thf(525,plain,
! [SV79: $i > $o,SV14: $i,SV117: $i] :
( ( ( in @ SV117
@ ( dsetconstr @ SV14
@ ^ [SY205: $i] : ( SV79 @ SY205 ) ) )
= $false )
| ( ( in @ SV117 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(526,plain,
! [SV15: $i,SV118: $i,SV80: $i] :
( ( ( in @ SV80 @ SV118 )
= $false )
| ( ( ~ ( in @ SV118 @ SV15 )
| ( in @ SV80 @ ( setunion @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(527,plain,
! [SV16: $i,SV81: $i] :
( ( ( ~ ( ~ ( ~ ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 )
| ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 ) )
| ~ ( ~ ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 )
| ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 ) ) ) )
= $false )
| ( ( SV16 = SV81 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[459]) ).
thf(528,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ SV131 )
| ~ ! [SY284: $i] :
( ~ ( SV18 @ SY284 )
| ( SV131 = SY284 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(529,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ SV132 ) )
= $true )
| ( ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( SV20 @ SY60 )
| ~ ( SV20 @ SY61 )
| ( SY60 = SY61 ) )
| ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(530,plain,
! [SV82: $i,SV21: $i] :
( ( ( SV21 = SV82 )
= $true )
| ( ( ~ ( in @ SV82 @ ( setadjoin @ SV21 @ emptyset ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(531,plain,
! [SV22: $i,SV83: $i > $o] :
( ( ( ~ ( in @ ( sK7_SY208 @ SV83 @ SV22 ) @ SV22 )
| ~ ( SV83 @ ( sK7_SY208 @ SV83 @ SV22 ) ) )
= $false )
| ( ( ~ ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ SV22 )
| ~ ( SV83 @ SY209 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[463]) ).
thf(532,plain,
! [SV23: $i] :
( ( ( ! [SY68: $i] :
~ ~ ( ~ ( in @ SY68 @ SV23 )
| ~ $true ) )
= $false )
| ( ( SV23 = emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(533,plain,
! [SV26: $i] :
( ( ( in @ ( sK4_SY70 @ SV26 ) @ SV26 )
= $true )
| ( ( SV26 = emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(534,plain,
! [SV85: $i > $o,SV29: $i] :
( ( ( ! [SY210: $i] :
~ ~ ( ~ ( in @ SY210 @ SV29 )
| ~ ~ ( SV85 @ SY210 ) ) )
= $true )
| ( ( ~ ! [SY211: $i] :
( ~ ( in @ SY211 @ SV29 )
| ( SV85 @ SY211 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(535,plain,
! [SV86: $i > $o,SV30: $i] :
( ( ( ! [SY212: $i] :
~ ~ ( ~ ( in @ SY212 @ SV30 )
| ~ ( SV86 @ SY212 ) ) )
= $true )
| ( ( ( ( dsetconstr @ SV30
@ ^ [SY213: $i] : ( SV86 @ SY213 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(536,plain,
! [SV133: $i,SV31: $i > $o] :
( ( ( ~ ~ ( ~ ( SV31 @ SV133 )
| ~ ! [SY285: $i] :
( ~ ( SV31 @ SY285 )
| ( SV133 = SY285 ) ) ) )
= $true )
| ( ( ! [SY81: $i,SY82: $i] :
( ~ ( SV31 @ SY81 )
| ~ ( SV31 @ SY82 )
| ( SY81 = SY82 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(537,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ! [SY286: $i] :
~ ( ~ ( ~ ( SV32 @ SY286 )
| ( SY286 = SV134 ) )
| ~ ( ( SY286 != SV134 )
| ( SV32 @ SY286 ) ) ) )
= $true )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(538,plain,
! [SV37: $i,SV90: $i] :
( ( ( ~ ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV37 )
| ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV90 ) )
= $false )
| ( ( ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ SV90 )
| ( in @ SY215 @ SV37 ) )
| ( SV37 = SV90 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[477]) ).
thf(539,plain,
! [SV39: $i] :
( ( ( in @ ( sK5_SY94 @ SV39 ) @ SV39 )
= $true )
| ( ( SV39 = emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[479]) ).
thf(540,plain,
! [SV40: $i] :
( ( ( ! [SY95: $i] :
~ ( in @ SY95 @ SV40 ) )
= $false )
| ( ( SV40 = emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(541,plain,
! [SV92: $i,SV41: $i,SV135: $i] :
( ( ( ! [SY287: $i] :
( ( SV135 != SY287 )
| ~ ( in @ SV135 @ SV41 )
| ( in @ SY287 @ SV92 ) ) )
= $true )
| ( ( SV41 = SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(542,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ~ ( ~ ( SV42 @ SV136 )
| ~ ! [SY288: $i] :
( ~ ( SV42 @ SY288 )
| ( SV136 = SY288 ) ) ) )
= $true )
| ( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(543,plain,
! [SV93: $i > $o,SV43: $i] :
( ( ( ! [SY218: $i] :
( ~ ( in @ SY218 @ SV43 )
| ( SV93 @ SY218 ) ) )
= $true )
| ( ( ~ ! [SY219: $i] :
~ ~ ( ~ ( in @ SY219 @ SV43 )
| ~ ~ ( SV93 @ SY219 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[483]) ).
thf(544,plain,
! [SV94: $i,SV44: $i,SV119: $i] :
( ( ( in @ SV119 @ ( setadjoin @ SV44 @ SV94 ) )
= $false )
| ( ( ( SV119 = SV44 )
| ( in @ SV119 @ SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(545,plain,
! [SV95: $i > $o,SV45: $i] :
( ( ( ~ ! [SY221: $i] :
~ ~ ( ~ ( in @ SY221 @ SV45 )
| ~ ( SV95 @ SY221 ) ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( in @ SY222 @ SV45 )
| ~ ( SV95 @ SY222 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(546,plain,
! [SV96: $i,SV46: $i,SV120: $i] :
( ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false )
| ( ( ! [SY258: $o] :
( ~ ( ( SV120 != SV46 )
| SY258 )
| ~ ( ~ ( in @ SV120 @ SV96 )
| SY258 )
| SY258 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(547,plain,
! [SV47: $i,SV97: $i] :
( ( ~ ( in @ SV97 @ ( powerset @ SV47 ) )
| ! [SY225: $i] :
( ~ ( in @ SY225 @ SV97 )
| ( in @ SY225 @ SV47 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(548,plain,
! [SV47: $i,SV97: $i] :
( ( ~ ! [SY226: $i] :
( ~ ( in @ SY226 @ SV97 )
| ( in @ SY226 @ SV47 ) )
| ( in @ SV97 @ ( powerset @ SV47 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(549,plain,
! [SV98: $i > $o,SV48: $i,SV121: $i] :
( ( ( in @ SV121 @ SV48 )
= $false )
| ( ( ~ ( ~ ( ~ ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY228: $i] : ( SV98 @ SY228 ) ) )
| ( SV98 @ SV121 ) )
| ~ ( ~ ( SV98 @ SV121 )
| ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY229: $i] : ( SV98 @ SY229 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(550,plain,
! [SV99: $i,SV49: $i,SV137: $i] :
( ( ( ! [SY289: $i] :
( ( SV137 != SY289 )
| ~ ( ~ ( ~ ( in @ SV137 @ SV49 )
| ( in @ SY289 @ SV99 ) )
| ~ ( ~ ( in @ SY289 @ SV99 )
| ( in @ SV137 @ SV49 ) ) ) ) )
= $true )
| ( ( SV49 = SV99 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(551,plain,
! [SV100: $i > $o,SV50: $i,SV122: $i] :
( ( ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SY233: $i] : ( SV100 @ SY233 ) ) )
= $false )
| ( ( SV100 @ SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(552,plain,
! [SV51: $i] :
( ( ( ~ ( in @ emptyset @ SV51 ) )
= $true )
| ( ( ~ ! [SY127: $i] :
( ~ ~ ( ~ ( in @ SY127 @ omega )
| ~ ( in @ SY127 @ SV51 ) )
| ( in @ ( setadjoin @ SY127 @ SY127 ) @ SV51 ) ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[492]) ).
thf(553,plain,
! [SV52: $i,SV138: $i] :
( ( ( ~ ( in @ SV138 @ SV52 ) )
= $true )
| ( ( ~ ! [SY130: $i] :
~ ~ ( ~ ( in @ SY130 @ SV52 )
| ~ ~ ~ ! [SY131: $i] :
~ ~ ( ~ ( in @ SY131 @ SY130 )
| ~ ( in @ SY131 @ SV52 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(554,plain,
! [SV101: $i,SV54: $i] :
( ( ( ~ ( in @ ( sK9_SY234 @ SV54 @ SV101 ) @ SV101 )
| ( in @ ( sK9_SY234 @ SV54 @ SV101 ) @ SV54 ) )
= $false )
| ( ( in @ SV101 @ ( powerset @ SV54 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[494]) ).
thf(555,plain,
! [SV102: $i,SV55: $i > $i > $o] :
( ( ( ~ ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
| ~ ! [SY290: $i] :
~ ~ ( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SY290 )
| ~ ! [SY291: $i] :
( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SY291 )
| ( SY290 = SY291 ) ) ) )
= $false )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[495]) ).
thf(556,plain,
! [SV103: $i > $o,SV56: $i,SV123: $i] :
( ( ( in @ SV123 @ SV56 )
= $false )
| ( ( ~ ( SV103 @ SV123 )
| ( ( dsetconstr @ SV56
@ ^ [SY243: $i] : ( SV103 @ SY243 ) )
!= emptyset ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(557,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ! [SY292: $i] :
( ( ( sK11_SY244 @ SV109 @ SV60 )
!= SY292 )
| ~ ( ~ ( ~ ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
| ( SV109 @ SY292 ) )
| ~ ( ~ ( SV109 @ SY292 )
| ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[502]) ).
thf(558,plain,
! [SV139: $i,SV61: $i > $o] :
( ( ( ~ ~ ( ~ ( SV61 @ SV139 )
| ~ ! [SY293: $i] :
( ~ ( SV61 @ SY293 )
| ( SV139 = SY293 ) ) ) )
= $true )
| ( ( ~ ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(559,plain,
! [SV140: $i,SV62: $i > $o] :
( ( ( ~ ~ ( ~ ( SV62 @ SV140 )
| ~ ! [SY294: $i] :
( ~ ( SV62 @ SY294 )
| ( SV140 = SY294 ) ) ) )
= $true )
| ( ( SV62
@ ( descr
@ ^ [SY164: $i] : ( SV62 @ SY164 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(560,plain,
! [SV63: $i,SV141: $i] :
( ( ( ~ ( in @ SV141 @ SV63 ) )
= $true )
| ( ( SV63 != emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(561,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( sK1_Xphi @ SX0 )
| ( sK2_SY0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(562,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( sK2_SY0 @ SX1 )
| ( sK1_Xphi @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(563,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( sK1_Xphi @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK1_Xphi @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(564,plain,
( ( ~ ~ ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( sK2_SY0 @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK2_SY0 @ SX1 )
| ( SX0 = SX1 ) ) )
| ~ ( ( ( descr
@ ^ [SX0: $i] : ( sK1_Xphi @ SX0 ) )
!= ( descr
@ ^ [SX0: $i] : ( sK2_SY0 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(565,plain,
! [SV64: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK3_SY166 @ SV64 ) )
| ! [SY168: $i] :
( ~ ( in @ SY168 @ SY263 )
| ( in @ SY168 @ SV64 ) ) )
| ~ ! [SY265: $i,SY266: $i] :
( ~ ~ ( ~ ( in @ SY265 @ SV64 )
| ~ ( in @ SY266 @ SV64 ) )
| ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SY265 @ SY267 )
| ( in @ SY266 @ SY267 ) )
| ~ ( ~ ( in @ SY266 @ SY267 )
| ( in @ SY265 @ SY267 ) ) ) )
| ( SY265 = SY266 ) ) )
| ~ ! [SY268: $i,SY269: $i] :
( ~ ~ ( ~ ( in @ SY268 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY269 @ ( sK3_SY166 @ SV64 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY268 )
| ( in @ SX4 @ SY269 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY269 )
| ( in @ SX4 @ SY268 ) ) ) )
| ~ ! [SY272: $i] :
( ~ ~ ( ~ ! [SY177: $i] :
( ~ ( in @ SY177 @ SY272 )
| ( in @ SY177 @ SV64 ) )
| ~ ~ ! [SX3: $i] :
~ ( in @ SX3 @ SY272 ) )
| ~ ! [SY275: $i] :
~ ~ ! [SY276: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY275 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY276 @ SY272 ) )
| ~ ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( in @ SX5 @ SY275 )
| ~ ( in @ SX5 @ SY272 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY275 ) )
| ( in @ SY276 @ SY278 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(566,plain,
! [SV65: $i,SV110: $i,SV124: $i] :
( ( ( in @ SV124 @ SV110 )
= $false )
| ( ( in @ SV124 @ ( setadjoin @ SV65 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(567,plain,
! [SV113: $i,SV69: $i,SV125: $i] :
( ( ( in @ SV125 @ ( setadjoin @ SV69 @ ( setadjoin @ SV113 @ emptyset ) ) )
= $false )
| ( ( ( SV125 = SV69 )
| ( SV125 = SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(568,plain,
! [SV127: $i,SV1: $i > $o] :
( ( ( ~ ( ~ ( SV1 @ SV127 )
| ~ ! [SY280: $i] :
( ~ ( SV1 @ SY280 )
| ( SV127 = SY280 ) ) ) )
= $false )
| ( ( ! [SY19: $i,SY20: $i] :
( ~ ( SV1 @ SY19 )
| ~ ( SV1 @ SY20 )
| ( SY19 = SY20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(569,plain,
! [SV70: $i,SV2: $i,SV142: $i,SV128: $i] :
( ( ( ( SV128 != SV142 )
| ( ( setadjoin @ SV2 @ SV128 )
= ( setadjoin @ SV70 @ SV142 ) ) )
= $true )
| ( ( SV2 = SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(570,plain,
! [SV71: $i,SV4: $i,SV114: $i] :
( ( ~ ( in @ SV114 @ ( setadjoin @ SV4 @ SV71 ) )
| ( SV114 = SV4 )
| ( in @ SV114 @ SV71 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(571,plain,
! [SV71: $i,SV4: $i,SV114: $i] :
( ( ~ ( ( SV114 = SV4 )
| ( in @ SV114 @ SV71 ) )
| ( in @ SV114 @ ( setadjoin @ SV4 @ SV71 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[514]) ).
thf(572,plain,
! [SV6: $i,SV72: $i,SV115: $i] :
( ( ( ~ ( in @ SV115 @ SV72 ) )
= $true )
| ( ( in @ SV115 @ SV6 )
= $true )
| ( ( in @ SV72 @ ( powerset @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[515]) ).
thf(573,plain,
! [SV73: $i > $o,SV7: $i,SV143: $i] :
( ( ( ~ ( in @ SV143 @ SV7 )
| ( SV73 @ SV143 ) )
= $true )
| ( ( ~ ! [SY195: $i] :
~ ~ ( ~ ( in @ SY195 @ SV7 )
| ~ ~ ( SV73 @ SY195 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(574,plain,
! [SV74: $i > $o,SV8: $i] :
( ( ( ! [SY196: $i] :
~ ~ ( ~ ( in @ SY196 @ SV8 )
| ~ ( SV74 @ SY196 ) ) )
= $false )
| ( ( ! [SY197: $i] :
( ~ ( in @ SY197 @ SV8 )
| ~ ( SV74 @ SY197 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(575,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ( ~ ( SV9 @ SV129 )
| ~ ! [SY282: $i] :
( ~ ( SV9 @ SY282 )
| ( SV129 = SY282 ) ) ) )
= $false )
| ( ( ~ ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(576,plain,
! [SV10: $i,SV75: $i] :
( ( ( ~ ( in @ SV75 @ ( setunion @ SV10 ) ) )
= $true )
| ( ( ~ ! [SY198: $i] :
~ ~ ( ~ ( in @ SV75 @ SY198 )
| ~ ( in @ SY198 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(577,plain,
! [SV10: $i,SV75: $i] :
( ( ( ~ ~ ! [SY199: $i] :
~ ~ ( ~ ( in @ SV75 @ SY199 )
| ~ ( in @ SY199 @ SV10 ) ) )
= $true )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(578,plain,
! [SV11: $i,SV116: $i,SV76: $i > $o] :
( ( ( ~ ( SV76 @ SV116 ) )
= $true )
| ( ( in @ SV116
@ ( dsetconstr @ SV11
@ ^ [SY201: $i] : ( SV76 @ SY201 ) ) )
= $true )
| ( ( in @ SV116 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(579,plain,
! [SV130: $o,SV13: $i,SV78: $i] :
( ( ( ~ ! [SY283: $i] :
( ~ ( in @ SV78 @ SY283 )
| ~ ( in @ SY283 @ SV13 )
| SV130 ) )
= $true )
| ( SV130 = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(581,plain,
! [SV13: $i,SV78: $i] :
( ( ( ~ ! [SX0: $i] :
( ~ ( in @ SV78 @ SX0 )
| ~ ( in @ SX0 @ SV13 )
| $false ) )
= $true )
| ( $false = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[524]) ).
thf(582,plain,
! [SV80: $i,SV15: $i,SV118: $i] :
( ( ( ~ ( in @ SV118 @ SV15 ) )
= $true )
| ( ( in @ SV80 @ ( setunion @ SV15 ) )
= $true )
| ( ( in @ SV80 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(583,plain,
! [SV16: $i,SV81: $i] :
( ( ( ~ ( ~ ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 )
| ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 ) )
| ~ ( ~ ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 )
| ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 ) ) )
= $true )
| ( ( SV16 = SV81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(584,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ( SV18 @ SV131 )
| ~ ! [SY284: $i] :
( ~ ( SV18 @ SY284 )
| ( SV131 = SY284 ) ) ) )
= $false )
| ( ( ~ ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(585,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( SV20 @ SV132 )
= $false )
| ( ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( SV20 @ SY60 )
| ~ ( SV20 @ SY61 )
| ( SY60 = SY61 ) )
| ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(586,plain,
! [SV21: $i,SV82: $i] :
( ( ( in @ SV82 @ ( setadjoin @ SV21 @ emptyset ) )
= $false )
| ( ( SV21 = SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(587,plain,
! [SV22: $i,SV83: $i > $o] :
( ( ( ~ ( in @ ( sK7_SY208 @ SV83 @ SV22 ) @ SV22 ) )
= $false )
| ( ( ~ ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ SV22 )
| ~ ( SV83 @ SY209 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(588,plain,
! [SV22: $i,SV83: $i > $o] :
( ( ( ~ ( SV83 @ ( sK7_SY208 @ SV83 @ SV22 ) ) )
= $false )
| ( ( ~ ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ SV22 )
| ~ ( SV83 @ SY209 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(589,plain,
! [SV23: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK12_SY68 @ SV23 ) @ SV23 )
| ~ $true ) )
= $false )
| ( ( SV23 = emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[532]) ).
thf(590,plain,
! [SV85: $i > $o,SV29: $i,SV144: $i] :
( ( ( ~ ~ ( ~ ( in @ SV144 @ SV29 )
| ~ ~ ( SV85 @ SV144 ) ) )
= $true )
| ( ( ~ ! [SY211: $i] :
( ~ ( in @ SY211 @ SV29 )
| ( SV85 @ SY211 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(591,plain,
! [SV86: $i > $o,SV30: $i,SV145: $i] :
( ( ( ~ ~ ( ~ ( in @ SV145 @ SV30 )
| ~ ( SV86 @ SV145 ) ) )
= $true )
| ( ( ( ( dsetconstr @ SV30
@ ^ [SY213: $i] : ( SV86 @ SY213 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(592,plain,
! [SV133: $i,SV31: $i > $o] :
( ( ( ~ ( ~ ( SV31 @ SV133 )
| ~ ! [SY285: $i] :
( ~ ( SV31 @ SY285 )
| ( SV133 = SY285 ) ) ) )
= $false )
| ( ( ! [SY81: $i,SY82: $i] :
( ~ ( SV31 @ SY81 )
| ~ ( SV31 @ SY82 )
| ( SY81 = SY82 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(593,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ! [SY286: $i] :
~ ( ~ ( ~ ( SV32 @ SY286 )
| ( SY286 = SV134 ) )
| ~ ( ( SY286 != SV134 )
| ( SV32 @ SY286 ) ) ) )
= $false )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(594,plain,
! [SV37: $i,SV90: $i] :
( ( ( ~ ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV37 ) )
= $false )
| ( ( ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ SV90 )
| ( in @ SY215 @ SV37 ) )
| ( SV37 = SV90 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(595,plain,
! [SV37: $i,SV90: $i] :
( ( ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV90 )
= $false )
| ( ( ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ SV90 )
| ( in @ SY215 @ SV37 ) )
| ( SV37 = SV90 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(596,plain,
! [SV40: $i] :
( ( ( ~ ( in @ ( sK13_SY95 @ SV40 ) @ SV40 ) )
= $false )
| ( ( SV40 = emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[540]) ).
thf(597,plain,
! [SV92: $i,SV41: $i,SV146: $i,SV135: $i] :
( ( ( ( SV135 != SV146 )
| ~ ( in @ SV135 @ SV41 )
| ( in @ SV146 @ SV92 ) )
= $true )
| ( ( SV41 = SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(598,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ( ~ ( SV42 @ SV136 )
| ~ ! [SY288: $i] :
( ~ ( SV42 @ SY288 )
| ( SV136 = SY288 ) ) ) )
= $false )
| ( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(599,plain,
! [SV93: $i > $o,SV43: $i,SV147: $i] :
( ( ( ~ ( in @ SV147 @ SV43 )
| ( SV93 @ SV147 ) )
= $true )
| ( ( ~ ! [SY219: $i] :
~ ~ ( ~ ( in @ SY219 @ SV43 )
| ~ ~ ( SV93 @ SY219 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(600,plain,
! [SV94: $i,SV44: $i,SV119: $i] :
( ( ( SV119 = SV44 )
= $true )
| ( ( in @ SV119 @ SV94 )
= $true )
| ( ( in @ SV119 @ ( setadjoin @ SV44 @ SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[544]) ).
thf(601,plain,
! [SV95: $i > $o,SV45: $i] :
( ( ( ! [SY221: $i] :
~ ~ ( ~ ( in @ SY221 @ SV45 )
| ~ ( SV95 @ SY221 ) ) )
= $false )
| ( ( ! [SY222: $i] :
( ~ ( in @ SY222 @ SV45 )
| ~ ( SV95 @ SY222 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(602,plain,
! [SV96: $i,SV148: $o,SV46: $i,SV120: $i] :
( ( ( ~ ( ( SV120 != SV46 )
| SV148 )
| ~ ( ~ ( in @ SV120 @ SV96 )
| SV148 )
| SV148 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[546]) ).
thf(604,plain,
! [SV96: $i,SV46: $i,SV120: $i] :
( ( ( ~ ( ( SV120 != SV46 )
| $false )
| ~ ( ~ ( in @ SV120 @ SV96 )
| $false )
| $false )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[546]) ).
thf(605,plain,
! [SV47: $i,SV97: $i] :
( ( ( ~ ( in @ SV97 @ ( powerset @ SV47 ) ) )
= $true )
| ( ( ! [SY225: $i] :
( ~ ( in @ SY225 @ SV97 )
| ( in @ SY225 @ SV47 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(606,plain,
! [SV47: $i,SV97: $i] :
( ( ( ~ ! [SY226: $i] :
( ~ ( in @ SY226 @ SV97 )
| ( in @ SY226 @ SV47 ) ) )
= $true )
| ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[548]) ).
thf(607,plain,
! [SV98: $i > $o,SV48: $i,SV121: $i] :
( ( ( ~ ( ~ ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY228: $i] : ( SV98 @ SY228 ) ) )
| ( SV98 @ SV121 ) )
| ~ ( ~ ( SV98 @ SV121 )
| ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY229: $i] : ( SV98 @ SY229 ) ) ) ) )
= $false )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(608,plain,
! [SV99: $i,SV49: $i,SV149: $i,SV137: $i] :
( ( ( ( SV137 != SV149 )
| ~ ( ~ ( ~ ( in @ SV137 @ SV49 )
| ( in @ SV149 @ SV99 ) )
| ~ ( ~ ( in @ SV149 @ SV99 )
| ( in @ SV137 @ SV49 ) ) ) )
= $true )
| ( ( SV49 = SV99 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(609,plain,
! [SV51: $i] :
( ( ( in @ emptyset @ SV51 )
= $false )
| ( ( ~ ! [SY127: $i] :
( ~ ~ ( ~ ( in @ SY127 @ omega )
| ~ ( in @ SY127 @ SV51 ) )
| ( in @ ( setadjoin @ SY127 @ SY127 ) @ SV51 ) ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(610,plain,
! [SV52: $i,SV138: $i] :
( ( ( in @ SV138 @ SV52 )
= $false )
| ( ( ~ ! [SY130: $i] :
~ ~ ( ~ ( in @ SY130 @ SV52 )
| ~ ~ ~ ! [SY131: $i] :
~ ~ ( ~ ( in @ SY131 @ SY130 )
| ~ ( in @ SY131 @ SV52 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(611,plain,
! [SV101: $i,SV54: $i] :
( ( ( ~ ( in @ ( sK9_SY234 @ SV54 @ SV101 ) @ SV101 ) )
= $false )
| ( ( in @ SV101 @ ( powerset @ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(612,plain,
! [SV101: $i,SV54: $i] :
( ( ( in @ ( sK9_SY234 @ SV54 @ SV101 ) @ SV54 )
= $false )
| ( ( in @ SV101 @ ( powerset @ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(613,plain,
! [SV102: $i,SV55: $i > $i > $o] :
( ( ( ~ ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 ) )
= $false )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(614,plain,
! [SV102: $i,SV55: $i > $i > $o] :
( ( ( ~ ! [SY290: $i] :
~ ~ ( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SY290 )
| ~ ! [SY291: $i] :
( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SY291 )
| ( SY290 = SY291 ) ) ) )
= $false )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(615,plain,
! [SV56: $i,SV123: $i,SV103: $i > $o] :
( ( ( ~ ( SV103 @ SV123 ) )
= $true )
| ( ( ( dsetconstr @ SV56
@ ^ [SY243: $i] : ( SV103 @ SY243 ) )
!= emptyset )
= $true )
| ( ( in @ SV123 @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(616,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ( ( sK11_SY244 @ SV109 @ SV60 )
!= ( sK14_SY292 @ SV60 @ SV109 ) )
| ~ ( ~ ( ~ ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
| ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) ) )
| ~ ( ~ ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
| ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[557]) ).
thf(617,plain,
! [SV139: $i,SV61: $i > $o] :
( ( ( ~ ( ~ ( SV61 @ SV139 )
| ~ ! [SY293: $i] :
( ~ ( SV61 @ SY293 )
| ( SV139 = SY293 ) ) ) )
= $false )
| ( ( ~ ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(618,plain,
! [SV140: $i,SV62: $i > $o] :
( ( ( ~ ( ~ ( SV62 @ SV140 )
| ~ ! [SY294: $i] :
( ~ ( SV62 @ SY294 )
| ( SV140 = SY294 ) ) ) )
= $false )
| ( ( SV62
@ ( descr
@ ^ [SY164: $i] : ( SV62 @ SY164 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(619,plain,
! [SV63: $i,SV141: $i] :
( ( ( in @ SV141 @ SV63 )
= $false )
| ( ( SV63 != emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(620,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( sK1_Xphi @ SX0 )
| ( sK2_SY0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(621,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( sK2_SY0 @ SX1 )
| ( sK1_Xphi @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(622,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( sK1_Xphi @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK1_Xphi @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(623,plain,
( ( ~ ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( sK2_SY0 @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK2_SY0 @ SX1 )
| ( SX0 = SX1 ) ) )
| ~ ( ( ( descr
@ ^ [SX0: $i] : ( sK1_Xphi @ SX0 ) )
!= ( descr
@ ^ [SX0: $i] : ( sK2_SY0 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(624,plain,
! [SV64: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK3_SY166 @ SV64 ) )
| ! [SY168: $i] :
( ~ ( in @ SY168 @ SY263 )
| ( in @ SY168 @ SV64 ) ) )
| ~ ! [SY265: $i,SY266: $i] :
( ~ ~ ( ~ ( in @ SY265 @ SV64 )
| ~ ( in @ SY266 @ SV64 ) )
| ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SY265 @ SY267 )
| ( in @ SY266 @ SY267 ) )
| ~ ( ~ ( in @ SY266 @ SY267 )
| ( in @ SY265 @ SY267 ) ) ) )
| ( SY265 = SY266 ) ) )
| ~ ! [SY268: $i,SY269: $i] :
( ~ ~ ( ~ ( in @ SY268 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY269 @ ( sK3_SY166 @ SV64 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY268 )
| ( in @ SX4 @ SY269 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY269 )
| ( in @ SX4 @ SY268 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[565]) ).
thf(625,plain,
! [SV64: $i] :
( ( ~ ! [SY272: $i] :
( ~ ~ ( ~ ! [SY177: $i] :
( ~ ( in @ SY177 @ SY272 )
| ( in @ SY177 @ SV64 ) )
| ~ ~ ! [SX3: $i] :
~ ( in @ SX3 @ SY272 ) )
| ~ ! [SY275: $i] :
~ ~ ! [SY276: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY275 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY276 @ SY272 ) )
| ~ ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( in @ SX5 @ SY275 )
| ~ ( in @ SX5 @ SY272 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY275 ) )
| ( in @ SY276 @ SY278 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[565]) ).
thf(626,plain,
! [SV113: $i,SV69: $i,SV125: $i] :
( ( ( SV125 = SV69 )
= $true )
| ( ( SV125 = SV113 )
= $true )
| ( ( in @ SV125 @ ( setadjoin @ SV69 @ ( setadjoin @ SV113 @ emptyset ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(627,plain,
! [SV127: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV127 )
| ~ ! [SY280: $i] :
( ~ ( SV1 @ SY280 )
| ( SV127 = SY280 ) ) )
= $true )
| ( ( ! [SY19: $i,SY20: $i] :
( ~ ( SV1 @ SY19 )
| ~ ( SV1 @ SY20 )
| ( SY19 = SY20 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(628,plain,
! [SV70: $i,SV2: $i,SV142: $i,SV128: $i] :
( ( ( SV128 != SV142 )
= $true )
| ( ( ( setadjoin @ SV2 @ SV128 )
= ( setadjoin @ SV70 @ SV142 ) )
= $true )
| ( ( SV2 = SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[569]) ).
thf(629,plain,
! [SV71: $i,SV4: $i,SV114: $i] :
( ( ( ~ ( in @ SV114 @ ( setadjoin @ SV4 @ SV71 ) ) )
= $true )
| ( ( ( SV114 = SV4 )
| ( in @ SV114 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(630,plain,
! [SV71: $i,SV4: $i,SV114: $i] :
( ( ( ~ ( ( SV114 = SV4 )
| ( in @ SV114 @ SV71 ) ) )
= $true )
| ( ( in @ SV114 @ ( setadjoin @ SV4 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(631,plain,
! [SV6: $i,SV72: $i,SV115: $i] :
( ( ( in @ SV115 @ SV72 )
= $false )
| ( ( in @ SV115 @ SV6 )
= $true )
| ( ( in @ SV72 @ ( powerset @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(632,plain,
! [SV73: $i > $o,SV7: $i,SV143: $i] :
( ( ( ~ ( in @ SV143 @ SV7 ) )
= $true )
| ( ( SV73 @ SV143 )
= $true )
| ( ( ~ ! [SY195: $i] :
~ ~ ( ~ ( in @ SY195 @ SV7 )
| ~ ~ ( SV73 @ SY195 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[573]) ).
thf(633,plain,
! [SV8: $i,SV74: $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK15_SY196 @ SV74 @ SV8 ) @ SV8 )
| ~ ( SV74 @ ( sK15_SY196 @ SV74 @ SV8 ) ) ) )
= $false )
| ( ( ! [SY197: $i] :
( ~ ( in @ SY197 @ SV8 )
| ~ ( SV74 @ SY197 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[574]) ).
thf(634,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ( SV9 @ SV129 )
| ~ ! [SY282: $i] :
( ~ ( SV9 @ SY282 )
| ( SV129 = SY282 ) ) )
= $true )
| ( ( ~ ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(635,plain,
! [SV10: $i,SV75: $i] :
( ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $false )
| ( ( ~ ! [SY198: $i] :
~ ~ ( ~ ( in @ SV75 @ SY198 )
| ~ ( in @ SY198 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(636,plain,
! [SV10: $i,SV75: $i] :
( ( ( ~ ! [SY199: $i] :
~ ~ ( ~ ( in @ SV75 @ SY199 )
| ~ ( in @ SY199 @ SV10 ) ) )
= $false )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(637,plain,
! [SV11: $i,SV116: $i,SV76: $i > $o] :
( ( ( SV76 @ SV116 )
= $false )
| ( ( in @ SV116
@ ( dsetconstr @ SV11
@ ^ [SY201: $i] : ( SV76 @ SY201 ) ) )
= $true )
| ( ( in @ SV116 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(638,plain,
! [SV130: $o,SV13: $i,SV78: $i] :
( ( ( ! [SY283: $i] :
( ~ ( in @ SV78 @ SY283 )
| ~ ( in @ SY283 @ SV13 )
| SV130 ) )
= $false )
| ( SV130 = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(640,plain,
! [SV13: $i,SV78: $i] :
( ( ( ! [SX0: $i] :
( ~ ( in @ SV78 @ SX0 )
| ~ ( in @ SX0 @ SV13 )
| $false ) )
= $false )
| ( $false = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(641,plain,
! [SV80: $i,SV15: $i,SV118: $i] :
( ( ( in @ SV118 @ SV15 )
= $false )
| ( ( in @ SV80 @ ( setunion @ SV15 ) )
= $true )
| ( ( in @ SV80 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(642,plain,
! [SV16: $i,SV81: $i] :
( ( ( ~ ( ~ ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 )
| ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 ) ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 )
| ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 ) ) )
= $true )
| ( ( SV16 = SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(643,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ SV131 )
| ~ ! [SY284: $i] :
( ~ ( SV18 @ SY284 )
| ( SV131 = SY284 ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[584]) ).
thf(644,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( SV20 @ SY60 )
| ~ ( SV20 @ SY61 )
| ( SY60 = SY61 ) ) )
= $true )
| ( ( ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(645,plain,
! [SV22: $i,SV83: $i > $o] :
( ( ( in @ ( sK7_SY208 @ SV83 @ SV22 ) @ SV22 )
= $true )
| ( ( ~ ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ SV22 )
| ~ ( SV83 @ SY209 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(646,plain,
! [SV22: $i,SV83: $i > $o] :
( ( ( SV83 @ ( sK7_SY208 @ SV83 @ SV22 ) )
= $true )
| ( ( ~ ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ SV22 )
| ~ ( SV83 @ SY209 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[588]) ).
thf(647,plain,
! [SV23: $i] :
( ( ( ~ ( ~ ( in @ ( sK12_SY68 @ SV23 ) @ SV23 )
| ~ $true ) )
= $true )
| ( ( SV23 = emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(648,plain,
! [SV85: $i > $o,SV29: $i,SV144: $i] :
( ( ( ~ ( ~ ( in @ SV144 @ SV29 )
| ~ ~ ( SV85 @ SV144 ) ) )
= $false )
| ( ( ~ ! [SY211: $i] :
( ~ ( in @ SY211 @ SV29 )
| ( SV85 @ SY211 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(649,plain,
! [SV86: $i > $o,SV30: $i,SV145: $i] :
( ( ( ~ ( ~ ( in @ SV145 @ SV30 )
| ~ ( SV86 @ SV145 ) ) )
= $false )
| ( ( ( ( dsetconstr @ SV30
@ ^ [SY213: $i] : ( SV86 @ SY213 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(650,plain,
! [SV133: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ SV133 )
| ~ ! [SY285: $i] :
( ~ ( SV31 @ SY285 )
| ( SV133 = SY285 ) ) )
= $true )
| ( ( ! [SY81: $i,SY82: $i] :
( ~ ( SV31 @ SY81 )
| ~ ( SV31 @ SY82 )
| ( SY81 = SY82 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(651,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
| ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 ) )
| ~ ( ( ( sK16_SY286 @ SV134 @ SV32 )
!= SV134 )
| ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) ) ) ) )
= $false )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[593]) ).
thf(652,plain,
! [SV37: $i,SV90: $i] :
( ( ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV37 )
= $true )
| ( ( ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ SV90 )
| ( in @ SY215 @ SV37 ) )
| ( SV37 = SV90 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(653,plain,
! [SV37: $i,SV90: $i] :
( ( ( ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ SV90 )
| ( in @ SY215 @ SV37 ) ) )
= $true )
| ( ( SV37 = SV90 )
= $true )
| ( ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(654,plain,
! [SV40: $i] :
( ( ( in @ ( sK13_SY95 @ SV40 ) @ SV40 )
= $true )
| ( ( SV40 = emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[596]) ).
thf(655,plain,
! [SV92: $i,SV41: $i,SV146: $i,SV135: $i] :
( ( ( SV135 != SV146 )
= $true )
| ( ( ~ ( in @ SV135 @ SV41 )
| ( in @ SV146 @ SV92 ) )
= $true )
| ( ( SV41 = SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(656,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ( SV42 @ SV136 )
| ~ ! [SY288: $i] :
( ~ ( SV42 @ SY288 )
| ( SV136 = SY288 ) ) )
= $true )
| ( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[598]) ).
thf(657,plain,
! [SV93: $i > $o,SV43: $i,SV147: $i] :
( ( ( ~ ( in @ SV147 @ SV43 ) )
= $true )
| ( ( SV93 @ SV147 )
= $true )
| ( ( ~ ! [SY219: $i] :
~ ~ ( ~ ( in @ SY219 @ SV43 )
| ~ ~ ( SV93 @ SY219 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(658,plain,
! [SV45: $i,SV95: $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK17_SY221 @ SV95 @ SV45 ) @ SV45 )
| ~ ( SV95 @ ( sK17_SY221 @ SV95 @ SV45 ) ) ) )
= $false )
| ( ( ! [SY222: $i] :
( ~ ( in @ SY222 @ SV45 )
| ~ ( SV95 @ SY222 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[601]) ).
thf(659,plain,
! [SV96: $i,SV148: $o,SV46: $i,SV120: $i] :
( ( ( ~ ( ( SV120 != SV46 )
| SV148 ) )
= $true )
| ( ( ~ ( ~ ( in @ SV120 @ SV96 )
| SV148 )
| SV148 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(661,plain,
! [SV96: $i,SV46: $i,SV120: $i] :
( ( ( ~ ( ( SV120 != SV46 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( in @ SV120 @ SV96 )
| $false )
| $false )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(662,plain,
! [SV47: $i,SV97: $i] :
( ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $false )
| ( ( ! [SY225: $i] :
( ~ ( in @ SY225 @ SV97 )
| ( in @ SY225 @ SV47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(663,plain,
! [SV47: $i,SV97: $i] :
( ( ( ! [SY226: $i] :
( ~ ( in @ SY226 @ SV97 )
| ( in @ SY226 @ SV47 ) ) )
= $false )
| ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(664,plain,
! [SV98: $i > $o,SV48: $i,SV121: $i] :
( ( ( ~ ( ~ ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY228: $i] : ( SV98 @ SY228 ) ) )
| ( SV98 @ SV121 ) ) )
= $false )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(665,plain,
! [SV48: $i,SV121: $i,SV98: $i > $o] :
( ( ( ~ ( ~ ( SV98 @ SV121 )
| ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY229: $i] : ( SV98 @ SY229 ) ) ) ) )
= $false )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(666,plain,
! [SV99: $i,SV49: $i,SV149: $i,SV137: $i] :
( ( ( SV137 != SV149 )
= $true )
| ( ( ~ ( ~ ( ~ ( in @ SV137 @ SV49 )
| ( in @ SV149 @ SV99 ) )
| ~ ( ~ ( in @ SV149 @ SV99 )
| ( in @ SV137 @ SV49 ) ) ) )
= $true )
| ( ( SV49 = SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(667,plain,
! [SV51: $i] :
( ( ( ! [SY127: $i] :
( ~ ~ ( ~ ( in @ SY127 @ omega )
| ~ ( in @ SY127 @ SV51 ) )
| ( in @ ( setadjoin @ SY127 @ SY127 ) @ SV51 ) ) )
= $false )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(668,plain,
! [SV138: $i,SV52: $i] :
( ( ( ! [SY130: $i] :
~ ~ ( ~ ( in @ SY130 @ SV52 )
| ~ ~ ~ ! [SY131: $i] :
~ ~ ( ~ ( in @ SY131 @ SY130 )
| ~ ( in @ SY131 @ SV52 ) ) ) )
= $false )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(669,plain,
! [SV101: $i,SV54: $i] :
( ( ( in @ ( sK9_SY234 @ SV54 @ SV101 ) @ SV101 )
= $true )
| ( ( in @ SV101 @ ( powerset @ SV54 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[611]) ).
thf(670,plain,
! [SV102: $i,SV55: $i > $i > $o] :
( ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(671,plain,
! [SV102: $i,SV55: $i > $i > $o] :
( ( ( ! [SY290: $i] :
~ ~ ( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SY290 )
| ~ ! [SY291: $i] :
( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SY291 )
| ( SY290 = SY291 ) ) ) )
= $true )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(672,plain,
! [SV56: $i,SV123: $i,SV103: $i > $o] :
( ( ( SV103 @ SV123 )
= $false )
| ( ( ( dsetconstr @ SV56
@ ^ [SY243: $i] : ( SV103 @ SY243 ) )
!= emptyset )
= $true )
| ( ( in @ SV123 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(673,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109 @ SV60 )
!= ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[616]) ).
thf(674,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
| ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) ) )
| ~ ( ~ ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
| ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[616]) ).
thf(675,plain,
! [SV139: $i,SV61: $i > $o] :
( ( ( ~ ( SV61 @ SV139 )
| ~ ! [SY293: $i] :
( ~ ( SV61 @ SY293 )
| ( SV139 = SY293 ) ) )
= $true )
| ( ( ~ ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(676,plain,
! [SV140: $i,SV62: $i > $o] :
( ( ( ~ ( SV62 @ SV140 )
| ~ ! [SY294: $i] :
( ~ ( SV62 @ SY294 )
| ( SV140 = SY294 ) ) )
= $true )
| ( ( SV62
@ ( descr
@ ^ [SY164: $i] : ( SV62 @ SY164 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[618]) ).
thf(677,plain,
! [SV141: $i,SV63: $i] :
( ( ( SV63 = emptyset )
= $false )
| ( ( in @ SV141 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(678,plain,
! [SV150: $i] :
( ( ! [SY295: $i] :
( ( SV150 != SY295 )
| ~ ( sK1_Xphi @ SV150 )
| ( sK2_SY0 @ SY295 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(679,plain,
! [SV151: $i] :
( ( ! [SY296: $i] :
( ( SV151 != SY296 )
| ~ ( sK2_SY0 @ SY296 )
| ( sK1_Xphi @ SV151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(680,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( sK1_Xphi @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK1_Xphi @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(681,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( sK2_SY0 @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK2_SY0 @ SX1 )
| ( SX0 = SX1 ) ) )
| ~ ( ( ( descr
@ ^ [SX0: $i] : ( sK1_Xphi @ SX0 ) )
!= ( descr
@ ^ [SX0: $i] : ( sK2_SY0 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(682,plain,
! [SV64: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK3_SY166 @ SV64 ) )
| ! [SY168: $i] :
( ~ ( in @ SY168 @ SY263 )
| ( in @ SY168 @ SV64 ) ) )
| ~ ! [SY265: $i,SY266: $i] :
( ~ ~ ( ~ ( in @ SY265 @ SV64 )
| ~ ( in @ SY266 @ SV64 ) )
| ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SY265 @ SY267 )
| ( in @ SY266 @ SY267 ) )
| ~ ( ~ ( in @ SY266 @ SY267 )
| ( in @ SY265 @ SY267 ) ) ) )
| ( SY265 = SY266 ) ) )
| ~ ! [SY268: $i,SY269: $i] :
( ~ ~ ( ~ ( in @ SY268 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY269 @ ( sK3_SY166 @ SV64 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY268 )
| ( in @ SX4 @ SY269 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY269 )
| ( in @ SX4 @ SY268 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(683,plain,
! [SV64: $i] :
( ( ! [SY272: $i] :
( ~ ~ ( ~ ! [SY177: $i] :
( ~ ( in @ SY177 @ SY272 )
| ( in @ SY177 @ SV64 ) )
| ~ ~ ! [SX3: $i] :
~ ( in @ SX3 @ SY272 ) )
| ~ ! [SY275: $i] :
~ ~ ! [SY276: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY275 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY276 @ SY272 ) )
| ~ ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( in @ SX5 @ SY275 )
| ~ ( in @ SX5 @ SY272 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY275 ) )
| ( in @ SY276 @ SY278 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(684,plain,
! [SV127: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV127 ) )
= $true )
| ( ( ~ ! [SY280: $i] :
( ~ ( SV1 @ SY280 )
| ( SV127 = SY280 ) ) )
= $true )
| ( ( ! [SY19: $i,SY20: $i] :
( ~ ( SV1 @ SY19 )
| ~ ( SV1 @ SY20 )
| ( SY19 = SY20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(685,plain,
! [SV70: $i,SV2: $i,SV142: $i,SV128: $i] :
( ( ( SV128 = SV142 )
= $false )
| ( ( ( setadjoin @ SV2 @ SV128 )
= ( setadjoin @ SV70 @ SV142 ) )
= $true )
| ( ( SV2 = SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(686,plain,
! [SV71: $i,SV4: $i,SV114: $i] :
( ( ( in @ SV114 @ ( setadjoin @ SV4 @ SV71 ) )
= $false )
| ( ( ( SV114 = SV4 )
| ( in @ SV114 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(687,plain,
! [SV71: $i,SV4: $i,SV114: $i] :
( ( ( ( SV114 = SV4 )
| ( in @ SV114 @ SV71 ) )
= $false )
| ( ( in @ SV114 @ ( setadjoin @ SV4 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(688,plain,
! [SV73: $i > $o,SV7: $i,SV143: $i] :
( ( ( in @ SV143 @ SV7 )
= $false )
| ( ( SV73 @ SV143 )
= $true )
| ( ( ~ ! [SY195: $i] :
~ ~ ( ~ ( in @ SY195 @ SV7 )
| ~ ~ ( SV73 @ SY195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(689,plain,
! [SV8: $i,SV74: $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK15_SY196 @ SV74 @ SV8 ) @ SV8 )
| ~ ( SV74 @ ( sK15_SY196 @ SV74 @ SV8 ) ) ) )
= $true )
| ( ( ! [SY197: $i] :
( ~ ( in @ SY197 @ SV8 )
| ~ ( SV74 @ SY197 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(690,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ( SV9 @ SV129 ) )
= $true )
| ( ( ~ ! [SY282: $i] :
( ~ ( SV9 @ SY282 )
| ( SV129 = SY282 ) ) )
= $true )
| ( ( ~ ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(691,plain,
! [SV10: $i,SV75: $i] :
( ( ( ! [SY198: $i] :
~ ~ ( ~ ( in @ SV75 @ SY198 )
| ~ ( in @ SY198 @ SV10 ) ) )
= $false )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(692,plain,
! [SV10: $i,SV75: $i] :
( ( ( ! [SY199: $i] :
~ ~ ( ~ ( in @ SV75 @ SY199 )
| ~ ( in @ SY199 @ SV10 ) ) )
= $true )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(693,plain,
! [SV13: $i,SV130: $o,SV78: $i] :
( ( ( ~ ( in @ SV78 @ ( sK18_SY283 @ SV130 @ SV13 @ SV78 ) )
| ~ ( in @ ( sK18_SY283 @ SV130 @ SV13 @ SV78 ) @ SV13 )
| SV130 )
= $false )
| ( SV130 = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[638]) ).
thf(695,plain,
! [SV13: $i,SV78: $i] :
( ( ( ~ ( in @ SV78 @ ( sK20_SX0 @ SV13 @ SV78 ) )
| ~ ( in @ ( sK20_SX0 @ SV13 @ SV78 ) @ SV13 )
| $false )
= $false )
| ( $false = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[640]) ).
thf(696,plain,
! [SV16: $i,SV81: $i] :
( ( ( ~ ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 )
| ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 ) )
= $false )
| ( ( ~ ( ~ ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 )
| ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 ) ) )
= $true )
| ( ( SV16 = SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(697,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ SV131 ) )
= $true )
| ( ( ~ ! [SY284: $i] :
( ~ ( SV18 @ SY284 )
| ( SV131 = SY284 ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(698,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ! [SY60: $i,SY61: $i] :
( ~ ( SV20 @ SY60 )
| ~ ( SV20 @ SY61 )
| ( SY60 = SY61 ) ) )
= $false )
| ( ( ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(699,plain,
! [SV83: $i > $o,SV22: $i] :
( ( ( ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ SV22 )
| ~ ( SV83 @ SY209 ) ) )
= $false )
| ( ( in @ ( sK7_SY208 @ SV83 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(700,plain,
! [SV83: $i > $o,SV22: $i] :
( ( ( ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ SV22 )
| ~ ( SV83 @ SY209 ) ) )
= $false )
| ( ( SV83 @ ( sK7_SY208 @ SV83 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(701,plain,
! [SV23: $i] :
( ( ( ~ ( in @ ( sK12_SY68 @ SV23 ) @ SV23 )
| ~ $true )
= $false )
| ( ( SV23 = emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(702,plain,
! [SV85: $i > $o,SV29: $i,SV144: $i] :
( ( ( ~ ( in @ SV144 @ SV29 )
| ~ ~ ( SV85 @ SV144 ) )
= $true )
| ( ( ~ ! [SY211: $i] :
( ~ ( in @ SY211 @ SV29 )
| ( SV85 @ SY211 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(703,plain,
! [SV86: $i > $o,SV30: $i,SV145: $i] :
( ( ( ~ ( in @ SV145 @ SV30 )
| ~ ( SV86 @ SV145 ) )
= $true )
| ( ( ( ( dsetconstr @ SV30
@ ^ [SY213: $i] : ( SV86 @ SY213 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(704,plain,
! [SV133: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ SV133 ) )
= $true )
| ( ( ~ ! [SY285: $i] :
( ~ ( SV31 @ SY285 )
| ( SV133 = SY285 ) ) )
= $true )
| ( ( ! [SY81: $i,SY82: $i] :
( ~ ( SV31 @ SY81 )
| ~ ( SV31 @ SY82 )
| ( SY81 = SY82 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(705,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ( ~ ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
| ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 ) )
| ~ ( ( ( sK16_SY286 @ SV134 @ SV32 )
!= SV134 )
| ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) ) ) )
= $true )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(706,plain,
! [SV37: $i,SV90: $i] :
( ( ( ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ SV90 )
| ( in @ SY215 @ SV37 ) ) )
= $true )
| ( ( SV37 = SV90 )
= $true )
| ( ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(707,plain,
! [SV37: $i,SV90: $i] :
( ( ( ! [SY215: $i] :
( ~ ( in @ SY215 @ SV90 )
| ( in @ SY215 @ SV37 ) ) )
= $false )
| ( ( SV37 = SV90 )
= $true )
| ( ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(708,plain,
! [SV92: $i,SV41: $i,SV146: $i,SV135: $i] :
( ( ( SV135 = SV146 )
= $false )
| ( ( ~ ( in @ SV135 @ SV41 )
| ( in @ SV146 @ SV92 ) )
= $true )
| ( ( SV41 = SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(709,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ( SV42 @ SV136 ) )
= $true )
| ( ( ~ ! [SY288: $i] :
( ~ ( SV42 @ SY288 )
| ( SV136 = SY288 ) ) )
= $true )
| ( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(710,plain,
! [SV93: $i > $o,SV43: $i,SV147: $i] :
( ( ( in @ SV147 @ SV43 )
= $false )
| ( ( SV93 @ SV147 )
= $true )
| ( ( ~ ! [SY219: $i] :
~ ~ ( ~ ( in @ SY219 @ SV43 )
| ~ ~ ( SV93 @ SY219 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(711,plain,
! [SV45: $i,SV95: $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK17_SY221 @ SV95 @ SV45 ) @ SV45 )
| ~ ( SV95 @ ( sK17_SY221 @ SV95 @ SV45 ) ) ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( in @ SY222 @ SV45 )
| ~ ( SV95 @ SY222 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[658]) ).
thf(712,plain,
! [SV96: $i,SV148: $o,SV46: $i,SV120: $i] :
( ( ( ( SV120 != SV46 )
| SV148 )
= $false )
| ( ( ~ ( ~ ( in @ SV120 @ SV96 )
| SV148 )
| SV148 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(714,plain,
! [SV96: $i,SV46: $i,SV120: $i] :
( ( ( ( SV120 != SV46 )
| $false )
= $false )
| ( ( ~ ( ~ ( in @ SV120 @ SV96 )
| $false )
| $false )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(715,plain,
! [SV47: $i,SV97: $i,SV152: $i] :
( ( ( ~ ( in @ SV152 @ SV97 )
| ( in @ SV152 @ SV47 ) )
= $true )
| ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(716,plain,
! [SV97: $i,SV47: $i] :
( ( ( ~ ( in @ ( sK21_SY226 @ SV47 @ SV97 ) @ SV97 )
| ( in @ ( sK21_SY226 @ SV47 @ SV97 ) @ SV47 ) )
= $false )
| ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[663]) ).
thf(717,plain,
! [SV98: $i > $o,SV48: $i,SV121: $i] :
( ( ( ~ ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY228: $i] : ( SV98 @ SY228 ) ) )
| ( SV98 @ SV121 ) )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(718,plain,
! [SV48: $i,SV121: $i,SV98: $i > $o] :
( ( ( ~ ( SV98 @ SV121 )
| ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY229: $i] : ( SV98 @ SY229 ) ) ) )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(719,plain,
! [SV99: $i,SV49: $i,SV149: $i,SV137: $i] :
( ( ( SV137 = SV149 )
= $false )
| ( ( ~ ( ~ ( ~ ( in @ SV137 @ SV49 )
| ( in @ SV149 @ SV99 ) )
| ~ ( ~ ( in @ SV149 @ SV99 )
| ( in @ SV137 @ SV49 ) ) ) )
= $true )
| ( ( SV49 = SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(720,plain,
! [SV51: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK22_SY127 @ SV51 ) @ omega )
| ~ ( in @ ( sK22_SY127 @ SV51 ) @ SV51 ) )
| ( in @ ( setadjoin @ ( sK22_SY127 @ SV51 ) @ ( sK22_SY127 @ SV51 ) ) @ SV51 ) )
= $false )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[667]) ).
thf(721,plain,
! [SV52: $i,SV138: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK23_SY130 @ SV138 @ SV52 ) @ SV52 )
| ~ ~ ~ ! [SY297: $i] :
~ ~ ( ~ ( in @ SY297 @ ( sK23_SY130 @ SV138 @ SV52 ) )
| ~ ( in @ SY297 @ SV52 ) ) ) )
= $false )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[668]) ).
thf(722,plain,
! [SV55: $i > $i > $o,SV102: $i] :
( ( ( ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(723,plain,
! [SV153: $i,SV102: $i,SV55: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
| ~ ! [SY298: $i] :
( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SY298 )
| ( SV153 = SY298 ) ) ) )
= $true )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(724,plain,
! [SV123: $i,SV103: $i > $o,SV56: $i] :
( ( ( ( dsetconstr @ SV56
@ ^ [SY243: $i] : ( SV103 @ SY243 ) )
= emptyset )
= $false )
| ( ( SV103 @ SV123 )
= $false )
| ( ( in @ SV123 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(725,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[673]) ).
thf(726,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( ~ ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
| ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) ) )
| ~ ( ~ ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
| ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(727,plain,
! [SV139: $i,SV61: $i > $o] :
( ( ( ~ ( SV61 @ SV139 ) )
= $true )
| ( ( ~ ! [SY293: $i] :
( ~ ( SV61 @ SY293 )
| ( SV139 = SY293 ) ) )
= $true )
| ( ( ~ ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(728,plain,
! [SV140: $i,SV62: $i > $o] :
( ( ( ~ ( SV62 @ SV140 ) )
= $true )
| ( ( ~ ! [SY294: $i] :
( ~ ( SV62 @ SY294 )
| ( SV140 = SY294 ) ) )
= $true )
| ( ( SV62
@ ( descr
@ ^ [SY164: $i] : ( SV62 @ SY164 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(729,plain,
! [SV154: $i,SV150: $i] :
( ( ( SV150 != SV154 )
| ~ ( sK1_Xphi @ SV150 )
| ( sK2_SY0 @ SV154 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(730,plain,
! [SV155: $i,SV151: $i] :
( ( ( SV151 != SV155 )
| ~ ( sK2_SY0 @ SV155 )
| ( sK1_Xphi @ SV151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(731,plain,
( ( ~ ~ ( ~ ( sK1_Xphi @ sK24_SX0 )
| ~ ! [SY299: $i] :
( ~ ( sK1_Xphi @ SY299 )
| ( sK24_SX0 = SY299 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[680]) ).
thf(732,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( sK2_SY0 @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK2_SY0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(733,plain,
( ( ~ ( ( ( descr
@ ^ [SX0: $i] : ( sK1_Xphi @ SX0 ) )
!= ( descr
@ ^ [SX0: $i] : ( sK2_SY0 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(734,plain,
! [SV64: $i] :
( ( ~ ~ ( ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK3_SY166 @ SV64 ) )
| ! [SY168: $i] :
( ~ ( in @ SY168 @ SY263 )
| ( in @ SY168 @ SV64 ) ) )
| ~ ! [SY265: $i,SY266: $i] :
( ~ ~ ( ~ ( in @ SY265 @ SV64 )
| ~ ( in @ SY266 @ SV64 ) )
| ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SY265 @ SY267 )
| ( in @ SY266 @ SY267 ) )
| ~ ( ~ ( in @ SY266 @ SY267 )
| ( in @ SY265 @ SY267 ) ) ) )
| ( SY265 = SY266 ) ) )
| ~ ! [SY268: $i,SY269: $i] :
( ~ ~ ( ~ ( in @ SY268 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY269 @ ( sK3_SY166 @ SV64 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY268 )
| ( in @ SX4 @ SY269 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY269 )
| ( in @ SX4 @ SY268 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(735,plain,
! [SV64: $i,SV156: $i] :
( ( ~ ~ ( ~ ! [SY300: $i] :
( ~ ( in @ SY300 @ SV156 )
| ( in @ SY300 @ SV64 ) )
| ~ ~ ! [SY301: $i] :
~ ( in @ SY301 @ SV156 ) )
| ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(736,plain,
! [SV127: $i,SV1: $i > $o] :
( ( ( SV1 @ SV127 )
= $false )
| ( ( ~ ! [SY280: $i] :
( ~ ( SV1 @ SY280 )
| ( SV127 = SY280 ) ) )
= $true )
| ( ( ! [SY19: $i,SY20: $i] :
( ~ ( SV1 @ SY19 )
| ~ ( SV1 @ SY20 )
| ( SY19 = SY20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(737,plain,
! [SV71: $i,SV4: $i,SV114: $i] :
( ( ( SV114 = SV4 )
= $true )
| ( ( in @ SV114 @ SV71 )
= $true )
| ( ( in @ SV114 @ ( setadjoin @ SV4 @ SV71 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(738,plain,
! [SV71: $i,SV4: $i,SV114: $i] :
( ( ( SV114 = SV4 )
= $false )
| ( ( in @ SV114 @ ( setadjoin @ SV4 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[687]) ).
thf(739,plain,
! [SV4: $i,SV71: $i,SV114: $i] :
( ( ( in @ SV114 @ SV71 )
= $false )
| ( ( in @ SV114 @ ( setadjoin @ SV4 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[687]) ).
thf(740,plain,
! [SV143: $i,SV73: $i > $o,SV7: $i] :
( ( ( ! [SY195: $i] :
~ ~ ( ~ ( in @ SY195 @ SV7 )
| ~ ~ ( SV73 @ SY195 ) ) )
= $false )
| ( ( SV73 @ SV143 )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(741,plain,
! [SV8: $i,SV74: $i > $o] :
( ( ( ~ ( in @ ( sK15_SY196 @ SV74 @ SV8 ) @ SV8 )
| ~ ( SV74 @ ( sK15_SY196 @ SV74 @ SV8 ) ) )
= $false )
| ( ( ! [SY197: $i] :
( ~ ( in @ SY197 @ SV8 )
| ~ ( SV74 @ SY197 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(742,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( SV9 @ SV129 )
= $false )
| ( ( ~ ! [SY282: $i] :
( ~ ( SV9 @ SY282 )
| ( SV129 = SY282 ) ) )
= $true )
| ( ( ~ ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(743,plain,
! [SV10: $i,SV75: $i] :
( ( ( ~ ~ ( ~ ( in @ SV75 @ ( sK25_SY198 @ SV10 @ SV75 ) )
| ~ ( in @ ( sK25_SY198 @ SV10 @ SV75 ) @ SV10 ) ) )
= $false )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[691]) ).
thf(744,plain,
! [SV10: $i,SV157: $i,SV75: $i] :
( ( ( ~ ~ ( ~ ( in @ SV75 @ SV157 )
| ~ ( in @ SV157 @ SV10 ) ) )
= $true )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(745,plain,
! [SV13: $i,SV130: $o,SV78: $i] :
( ( ( ~ ( in @ SV78 @ ( sK18_SY283 @ SV130 @ SV13 @ SV78 ) ) )
= $false )
| ( SV130 = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(746,plain,
! [SV78: $i,SV13: $i,SV130: $o] :
( ( ( ~ ( in @ ( sK18_SY283 @ SV130 @ SV13 @ SV78 ) @ SV13 )
| SV130 )
= $false )
| ( SV130 = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(749,plain,
! [SV13: $i,SV78: $i] :
( ( ( ~ ( in @ SV78 @ ( sK20_SX0 @ SV13 @ SV78 ) ) )
= $false )
| ( $false = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(750,plain,
! [SV78: $i,SV13: $i] :
( ( ( ~ ( in @ ( sK20_SX0 @ SV13 @ SV78 ) @ SV13 )
| $false )
= $false )
| ( $false = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(751,plain,
! [SV16: $i,SV81: $i] :
( ( ( ~ ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 ) )
= $false )
| ( ( ~ ( ~ ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 )
| ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 ) ) )
= $true )
| ( ( SV16 = SV81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[696]) ).
thf(752,plain,
! [SV16: $i,SV81: $i] :
( ( ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 )
= $false )
| ( ( ~ ( ~ ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 )
| ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 ) ) )
= $true )
| ( ( SV16 = SV81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[696]) ).
thf(753,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( SV18 @ SV131 )
= $false )
| ( ( ~ ! [SY284: $i] :
( ~ ( SV18 @ SY284 )
| ( SV131 = SY284 ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(754,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ! [SY307: $i] :
( ~ ( SV20 @ ( sK26_SY60 @ SV132 @ SV20 ) )
| ~ ( SV20 @ SY307 )
| ( ( sK26_SY60 @ SV132 @ SV20 )
= SY307 ) ) )
= $false )
| ( ( ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[698]) ).
thf(755,plain,
! [SV83: $i > $o,SV22: $i] :
( ( ( ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ SV22 )
| ~ ( SV83 @ SY209 ) ) )
= $true )
| ( ( in @ ( sK7_SY208 @ SV83 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[699]) ).
thf(756,plain,
! [SV83: $i > $o,SV22: $i] :
( ( ( ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ SV22 )
| ~ ( SV83 @ SY209 ) ) )
= $true )
| ( ( SV83 @ ( sK7_SY208 @ SV83 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(757,plain,
! [SV23: $i] :
( ( ( ~ ( in @ ( sK12_SY68 @ SV23 ) @ SV23 ) )
= $false )
| ( ( SV23 = emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[701]) ).
thf(759,plain,
! [SV85: $i > $o,SV29: $i,SV144: $i] :
( ( ( ~ ( in @ SV144 @ SV29 ) )
= $true )
| ( ( ~ ~ ( SV85 @ SV144 ) )
= $true )
| ( ( ~ ! [SY211: $i] :
( ~ ( in @ SY211 @ SV29 )
| ( SV85 @ SY211 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(760,plain,
! [SV86: $i > $o,SV30: $i,SV145: $i] :
( ( ( ~ ( in @ SV145 @ SV30 ) )
= $true )
| ( ( ~ ( SV86 @ SV145 ) )
= $true )
| ( ( ( ( dsetconstr @ SV30
@ ^ [SY213: $i] : ( SV86 @ SY213 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[703]) ).
thf(761,plain,
! [SV133: $i,SV31: $i > $o] :
( ( ( SV31 @ SV133 )
= $false )
| ( ( ~ ! [SY285: $i] :
( ~ ( SV31 @ SY285 )
| ( SV133 = SY285 ) ) )
= $true )
| ( ( ! [SY81: $i,SY82: $i] :
( ~ ( SV31 @ SY81 )
| ~ ( SV31 @ SY82 )
| ( SY81 = SY82 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(762,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ( ~ ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
| ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 ) ) )
= $true )
| ( ( ~ ( ( ( sK16_SY286 @ SV134 @ SV32 )
!= SV134 )
| ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) ) ) )
= $true )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(763,plain,
! [SV37: $i,SV90: $i] :
( ( ( ! [SY215: $i] :
( ~ ( in @ SY215 @ SV90 )
| ( in @ SY215 @ SV37 ) ) )
= $false )
| ( ( SV37 = SV90 )
= $true )
| ( ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(764,plain,
! [SV90: $i,SV37: $i] :
( ( ( ~ ( in @ ( sK27_SY215 @ SV37 @ SV90 ) @ SV90 )
| ( in @ ( sK27_SY215 @ SV37 @ SV90 ) @ SV37 ) )
= $false )
| ( ( SV37 = SV90 )
= $true )
| ( ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV90 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[707]) ).
thf(765,plain,
! [SV92: $i,SV146: $i,SV41: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ SV41 ) )
= $true )
| ( ( in @ SV146 @ SV92 )
= $true )
| ( ( SV135 = SV146 )
= $false )
| ( ( SV41 = SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(766,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( SV42 @ SV136 )
= $false )
| ( ( ~ ! [SY288: $i] :
( ~ ( SV42 @ SY288 )
| ( SV136 = SY288 ) ) )
= $true )
| ( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(767,plain,
! [SV147: $i,SV93: $i > $o,SV43: $i] :
( ( ( ! [SY219: $i] :
~ ~ ( ~ ( in @ SY219 @ SV43 )
| ~ ~ ( SV93 @ SY219 ) ) )
= $false )
| ( ( SV93 @ SV147 )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(768,plain,
! [SV45: $i,SV95: $i > $o] :
( ( ( ~ ( in @ ( sK17_SY221 @ SV95 @ SV45 ) @ SV45 )
| ~ ( SV95 @ ( sK17_SY221 @ SV95 @ SV45 ) ) )
= $false )
| ( ( ! [SY222: $i] :
( ~ ( in @ SY222 @ SV45 )
| ~ ( SV95 @ SY222 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(769,plain,
! [SV148: $o,SV96: $i,SV46: $i,SV120: $i] :
( ( ( SV120 != SV46 )
= $false )
| ( ( ~ ( ~ ( in @ SV120 @ SV96 )
| SV148 )
| SV148 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(773,plain,
! [SV96: $i,SV46: $i,SV120: $i] :
( ( ( SV120 != SV46 )
= $false )
| ( ( ~ ( ~ ( in @ SV120 @ SV96 )
| $false )
| $false )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(775,plain,
! [SV47: $i,SV97: $i,SV152: $i] :
( ( ( ~ ( in @ SV152 @ SV97 ) )
= $true )
| ( ( in @ SV152 @ SV47 )
= $true )
| ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(776,plain,
! [SV97: $i,SV47: $i] :
( ( ( ~ ( in @ ( sK21_SY226 @ SV47 @ SV97 ) @ SV97 ) )
= $false )
| ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(777,plain,
! [SV97: $i,SV47: $i] :
( ( ( in @ ( sK21_SY226 @ SV47 @ SV97 ) @ SV47 )
= $false )
| ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(778,plain,
! [SV98: $i > $o,SV48: $i,SV121: $i] :
( ( ( ~ ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY228: $i] : ( SV98 @ SY228 ) ) ) )
= $true )
| ( ( SV98 @ SV121 )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(779,plain,
! [SV48: $i,SV121: $i,SV98: $i > $o] :
( ( ( ~ ( SV98 @ SV121 ) )
= $true )
| ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY229: $i] : ( SV98 @ SY229 ) ) )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(780,plain,
! [SV99: $i,SV149: $i,SV49: $i,SV137: $i] :
( ( ( ~ ( ~ ( in @ SV137 @ SV49 )
| ( in @ SV149 @ SV99 ) )
| ~ ( ~ ( in @ SV149 @ SV99 )
| ( in @ SV137 @ SV49 ) ) )
= $false )
| ( ( SV137 = SV149 )
= $false )
| ( ( SV49 = SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(781,plain,
! [SV51: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK22_SY127 @ SV51 ) @ omega )
| ~ ( in @ ( sK22_SY127 @ SV51 ) @ SV51 ) ) )
= $false )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(782,plain,
! [SV51: $i] :
( ( ( in @ ( setadjoin @ ( sK22_SY127 @ SV51 ) @ ( sK22_SY127 @ SV51 ) ) @ SV51 )
= $false )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(783,plain,
! [SV52: $i,SV138: $i] :
( ( ( ~ ( ~ ( in @ ( sK23_SY130 @ SV138 @ SV52 ) @ SV52 )
| ~ ~ ~ ! [SY297: $i] :
~ ~ ( ~ ( in @ SY297 @ ( sK23_SY130 @ SV138 @ SV52 ) )
| ~ ( in @ SY297 @ SV52 ) ) ) )
= $true )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[721]) ).
thf(784,plain,
! [SV102: $i,SV55: $i > $i > $o] :
( ( ( ~ ! [SY308: $i] :
~ ( ~ ( ~ ( in @ SY308 @ ( sK28_SY238 @ SV55 @ SV102 ) )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY308 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY308 ) )
| ( in @ SY308 @ ( sK28_SY238 @ SV55 @ SV102 ) ) ) ) )
= $false )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[722]) ).
thf(785,plain,
! [SV153: $i,SV102: $i,SV55: $i > $i > $o] :
( ( ( ~ ( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
| ~ ! [SY298: $i] :
( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SY298 )
| ( SV153 = SY298 ) ) ) )
= $false )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(786,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(787,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( ~ ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
| ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
| ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[726]) ).
thf(788,plain,
! [SV139: $i,SV61: $i > $o] :
( ( ( SV61 @ SV139 )
= $false )
| ( ( ~ ! [SY293: $i] :
( ~ ( SV61 @ SY293 )
| ( SV139 = SY293 ) ) )
= $true )
| ( ( ~ ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(789,plain,
! [SV140: $i,SV62: $i > $o] :
( ( ( SV62 @ SV140 )
= $false )
| ( ( ~ ! [SY294: $i] :
( ~ ( SV62 @ SY294 )
| ( SV140 = SY294 ) ) )
= $true )
| ( ( SV62
@ ( descr
@ ^ [SY164: $i] : ( SV62 @ SY164 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(790,plain,
! [SV154: $i,SV150: $i] :
( ( ( SV150 != SV154 )
= $true )
| ( ( ~ ( sK1_Xphi @ SV150 )
| ( sK2_SY0 @ SV154 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[729]) ).
thf(791,plain,
! [SV155: $i,SV151: $i] :
( ( ( SV151 != SV155 )
= $true )
| ( ( ~ ( sK2_SY0 @ SV155 )
| ( sK1_Xphi @ SV151 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(792,plain,
( ( ~ ( ~ ( sK1_Xphi @ sK24_SX0 )
| ~ ! [SY299: $i] :
( ~ ( sK1_Xphi @ SY299 )
| ( sK24_SX0 = SY299 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[731]) ).
thf(793,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( sK2_SY0 @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK2_SY0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(794,plain,
( ( ( descr
@ ^ [SX0: $i] : ( sK1_Xphi @ SX0 ) )
!= ( descr
@ ^ [SX0: $i] : ( sK2_SY0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(795,plain,
! [SV64: $i] :
( ( ~ ~ ( ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK3_SY166 @ SV64 ) )
| ! [SY168: $i] :
( ~ ( in @ SY168 @ SY263 )
| ( in @ SY168 @ SV64 ) ) )
| ~ ! [SY265: $i,SY266: $i] :
( ~ ~ ( ~ ( in @ SY265 @ SV64 )
| ~ ( in @ SY266 @ SV64 ) )
| ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SY265 @ SY267 )
| ( in @ SY266 @ SY267 ) )
| ~ ( ~ ( in @ SY266 @ SY267 )
| ( in @ SY265 @ SY267 ) ) ) )
| ( SY265 = SY266 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[734]) ).
thf(796,plain,
! [SV64: $i] :
( ( ~ ! [SY268: $i,SY269: $i] :
( ~ ~ ( ~ ( in @ SY268 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY269 @ ( sK3_SY166 @ SV64 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY268 )
| ( in @ SX4 @ SY269 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY269 )
| ( in @ SX4 @ SY268 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[734]) ).
thf(797,plain,
! [SV64: $i,SV156: $i] :
( ( ( ~ ~ ( ~ ! [SY300: $i] :
( ~ ( in @ SY300 @ SV156 )
| ( in @ SY300 @ SV64 ) )
| ~ ~ ! [SY301: $i] :
~ ( in @ SY301 @ SV156 ) ) )
= $true )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[735]) ).
thf(798,plain,
! [SV127: $i,SV1: $i > $o] :
( ( ( ! [SY280: $i] :
( ~ ( SV1 @ SY280 )
| ( SV127 = SY280 ) ) )
= $false )
| ( ( SV1 @ SV127 )
= $false )
| ( ( ! [SY19: $i,SY20: $i] :
( ~ ( SV1 @ SY19 )
| ~ ( SV1 @ SY20 )
| ( SY19 = SY20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(799,plain,
! [SV7: $i,SV73: $i > $o,SV143: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK29_SY195 @ SV143 @ SV73 @ SV7 ) @ SV7 )
| ~ ~ ( SV73 @ ( sK29_SY195 @ SV143 @ SV73 @ SV7 ) ) ) )
= $false )
| ( ( SV73 @ SV143 )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[740]) ).
thf(800,plain,
! [SV8: $i,SV74: $i > $o] :
( ( ( ~ ( in @ ( sK15_SY196 @ SV74 @ SV8 ) @ SV8 ) )
= $false )
| ( ( ! [SY197: $i] :
( ~ ( in @ SY197 @ SV8 )
| ~ ( SV74 @ SY197 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(801,plain,
! [SV8: $i,SV74: $i > $o] :
( ( ( ~ ( SV74 @ ( sK15_SY196 @ SV74 @ SV8 ) ) )
= $false )
| ( ( ! [SY197: $i] :
( ~ ( in @ SY197 @ SV8 )
| ~ ( SV74 @ SY197 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(802,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ! [SY282: $i] :
( ~ ( SV9 @ SY282 )
| ( SV129 = SY282 ) ) )
= $false )
| ( ( SV9 @ SV129 )
= $false )
| ( ( ~ ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(803,plain,
! [SV10: $i,SV75: $i] :
( ( ( ~ ( ~ ( in @ SV75 @ ( sK25_SY198 @ SV10 @ SV75 ) )
| ~ ( in @ ( sK25_SY198 @ SV10 @ SV75 ) @ SV10 ) ) )
= $true )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[743]) ).
thf(804,plain,
! [SV10: $i,SV157: $i,SV75: $i] :
( ( ( ~ ( ~ ( in @ SV75 @ SV157 )
| ~ ( in @ SV157 @ SV10 ) ) )
= $false )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(805,plain,
! [SV13: $i,SV130: $o,SV78: $i] :
( ( ( in @ SV78 @ ( sK18_SY283 @ SV130 @ SV13 @ SV78 ) )
= $true )
| ( SV130 = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[745]) ).
thf(806,plain,
! [SV78: $i,SV13: $i,SV130: $o] :
( ( ( ~ ( in @ ( sK18_SY283 @ SV130 @ SV13 @ SV78 ) @ SV13 ) )
= $false )
| ( SV130 = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[746]) ).
thf(811,plain,
! [SV13: $i,SV78: $i] :
( ( ( in @ SV78 @ ( sK20_SX0 @ SV13 @ SV78 ) )
= $true )
| ( $false = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(812,plain,
! [SV78: $i,SV13: $i] :
( ( ( ~ ( in @ ( sK20_SX0 @ SV13 @ SV78 ) @ SV13 ) )
= $false )
| ( $false = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[750]) ).
thf(814,plain,
! [SV16: $i,SV81: $i] :
( ( ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 )
| ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 ) ) )
= $true )
| ( ( SV16 = SV81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(815,plain,
! [SV16: $i,SV81: $i] :
( ( ( ~ ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 )
| ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 ) )
= $false )
| ( ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 )
= $false )
| ( ( SV16 = SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(816,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( ! [SY284: $i] :
( ~ ( SV18 @ SY284 )
| ( SV131 = SY284 ) ) )
= $false )
| ( ( SV18 @ SV131 )
= $false )
| ( ( ~ ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(817,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ ( sK26_SY60 @ SV132 @ SV20 ) )
| ~ ( SV20 @ ( sK30_SY307 @ SV132 @ SV20 ) )
| ( ( sK26_SY60 @ SV132 @ SV20 )
= ( sK30_SY307 @ SV132 @ SV20 ) ) )
= $false )
| ( ( ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[754]) ).
thf(818,plain,
! [SV83: $i > $o,SV22: $i,SV158: $i] :
( ( ( ~ ~ ( ~ ( in @ SV158 @ SV22 )
| ~ ( SV83 @ SV158 ) ) )
= $true )
| ( ( in @ ( sK7_SY208 @ SV83 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(819,plain,
! [SV83: $i > $o,SV22: $i,SV159: $i] :
( ( ( ~ ~ ( ~ ( in @ SV159 @ SV22 )
| ~ ( SV83 @ SV159 ) ) )
= $true )
| ( ( SV83 @ ( sK7_SY208 @ SV83 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(820,plain,
! [SV23: $i] :
( ( ( in @ ( sK12_SY68 @ SV23 ) @ SV23 )
= $true )
| ( ( SV23 = emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(822,plain,
! [SV85: $i > $o,SV29: $i,SV144: $i] :
( ( ( in @ SV144 @ SV29 )
= $false )
| ( ( ~ ~ ( SV85 @ SV144 ) )
= $true )
| ( ( ~ ! [SY211: $i] :
( ~ ( in @ SY211 @ SV29 )
| ( SV85 @ SY211 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(823,plain,
! [SV86: $i > $o,SV30: $i,SV145: $i] :
( ( ( in @ SV145 @ SV30 )
= $false )
| ( ( ~ ( SV86 @ SV145 ) )
= $true )
| ( ( ( ( dsetconstr @ SV30
@ ^ [SY213: $i] : ( SV86 @ SY213 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(824,plain,
! [SV133: $i,SV31: $i > $o] :
( ( ( ! [SY285: $i] :
( ~ ( SV31 @ SY285 )
| ( SV133 = SY285 ) ) )
= $false )
| ( ( SV31 @ SV133 )
= $false )
| ( ( ! [SY81: $i,SY82: $i] :
( ~ ( SV31 @ SY81 )
| ~ ( SV31 @ SY82 )
| ( SY81 = SY82 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(825,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
| ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 ) )
= $false )
| ( ( ~ ( ( ( sK16_SY286 @ SV134 @ SV32 )
!= SV134 )
| ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) ) ) )
= $true )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(826,plain,
! [SV90: $i,SV37: $i] :
( ( ( ~ ( in @ ( sK31_SY215 @ SV37 @ SV90 ) @ SV90 )
| ( in @ ( sK31_SY215 @ SV37 @ SV90 ) @ SV37 ) )
= $false )
| ( ( SV37 = SV90 )
= $true )
| ( ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[763]) ).
thf(827,plain,
! [SV90: $i,SV37: $i] :
( ( ( ~ ( in @ ( sK27_SY215 @ SV37 @ SV90 ) @ SV90 ) )
= $false )
| ( ( SV37 = SV90 )
= $true )
| ( ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[764]) ).
thf(828,plain,
! [SV90: $i,SV37: $i] :
( ( ( in @ ( sK27_SY215 @ SV37 @ SV90 ) @ SV37 )
= $false )
| ( ( SV37 = SV90 )
= $true )
| ( ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[764]) ).
thf(829,plain,
! [SV92: $i,SV146: $i,SV41: $i,SV135: $i] :
( ( ( in @ SV135 @ SV41 )
= $false )
| ( ( in @ SV146 @ SV92 )
= $true )
| ( ( SV135 = SV146 )
= $false )
| ( ( SV41 = SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(830,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ! [SY288: $i] :
( ~ ( SV42 @ SY288 )
| ( SV136 = SY288 ) ) )
= $false )
| ( ( SV42 @ SV136 )
= $false )
| ( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(831,plain,
! [SV43: $i,SV93: $i > $o,SV147: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK32_SY219 @ SV147 @ SV93 @ SV43 ) @ SV43 )
| ~ ~ ( SV93 @ ( sK32_SY219 @ SV147 @ SV93 @ SV43 ) ) ) )
= $false )
| ( ( SV93 @ SV147 )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[767]) ).
thf(832,plain,
! [SV45: $i,SV95: $i > $o] :
( ( ( ~ ( in @ ( sK17_SY221 @ SV95 @ SV45 ) @ SV45 ) )
= $false )
| ( ( ! [SY222: $i] :
( ~ ( in @ SY222 @ SV45 )
| ~ ( SV95 @ SY222 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(833,plain,
! [SV45: $i,SV95: $i > $o] :
( ( ( ~ ( SV95 @ ( sK17_SY221 @ SV95 @ SV45 ) ) )
= $false )
| ( ( ! [SY222: $i] :
( ~ ( in @ SY222 @ SV45 )
| ~ ( SV95 @ SY222 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(834,plain,
! [SV148: $o,SV96: $i,SV46: $i,SV120: $i] :
( ( ( SV120 = SV46 )
= $true )
| ( ( ~ ( ~ ( in @ SV120 @ SV96 )
| SV148 )
| SV148 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(838,plain,
! [SV96: $i,SV46: $i,SV120: $i] :
( ( ( SV120 = SV46 )
= $true )
| ( ( ~ ( ~ ( in @ SV120 @ SV96 )
| $false )
| $false )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(840,plain,
! [SV47: $i,SV97: $i,SV152: $i] :
( ( ( in @ SV152 @ SV97 )
= $false )
| ( ( in @ SV152 @ SV47 )
= $true )
| ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(841,plain,
! [SV97: $i,SV47: $i] :
( ( ( in @ ( sK21_SY226 @ SV47 @ SV97 ) @ SV97 )
= $true )
| ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(842,plain,
! [SV98: $i > $o,SV48: $i,SV121: $i] :
( ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY228: $i] : ( SV98 @ SY228 ) ) )
= $false )
| ( ( SV98 @ SV121 )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(843,plain,
! [SV48: $i,SV121: $i,SV98: $i > $o] :
( ( ( SV98 @ SV121 )
= $false )
| ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SY229: $i] : ( SV98 @ SY229 ) ) )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(844,plain,
! [SV99: $i,SV149: $i,SV49: $i,SV137: $i] :
( ( ( ~ ( ~ ( in @ SV137 @ SV49 )
| ( in @ SV149 @ SV99 ) ) )
= $false )
| ( ( SV137 = SV149 )
= $false )
| ( ( SV49 = SV99 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[780]) ).
thf(845,plain,
! [SV49: $i,SV137: $i,SV99: $i,SV149: $i] :
( ( ( ~ ( ~ ( in @ SV149 @ SV99 )
| ( in @ SV137 @ SV49 ) ) )
= $false )
| ( ( SV137 = SV149 )
= $false )
| ( ( SV49 = SV99 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[780]) ).
thf(846,plain,
! [SV51: $i] :
( ( ( ~ ( ~ ( in @ ( sK22_SY127 @ SV51 ) @ omega )
| ~ ( in @ ( sK22_SY127 @ SV51 ) @ SV51 ) ) )
= $true )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[781]) ).
thf(847,plain,
! [SV51: $i,SV160: $i] :
( ( ( ~ ( in @ SV160 @ omega )
| ( in @ SV160 @ SV51 ) )
= $true )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( in @ ( setadjoin @ ( sK22_SY127 @ SV51 ) @ ( sK22_SY127 @ SV51 ) ) @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(848,plain,
! [SV52: $i,SV138: $i] :
( ( ( ~ ( in @ ( sK23_SY130 @ SV138 @ SV52 ) @ SV52 )
| ~ ~ ~ ! [SY297: $i] :
~ ~ ( ~ ( in @ SY297 @ ( sK23_SY130 @ SV138 @ SV52 ) )
| ~ ( in @ SY297 @ SV52 ) ) )
= $false )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(849,plain,
! [SV102: $i,SV55: $i > $i > $o] :
( ( ( ! [SY308: $i] :
~ ( ~ ( ~ ( in @ SY308 @ ( sK28_SY238 @ SV55 @ SV102 ) )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY308 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY308 ) )
| ( in @ SY308 @ ( sK28_SY238 @ SV55 @ SV102 ) ) ) ) )
= $true )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(850,plain,
! [SV153: $i,SV102: $i,SV55: $i > $i > $o] :
( ( ( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
| ~ ! [SY298: $i] :
( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SY298 )
| ( SV153 = SY298 ) ) )
= $true )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(851,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[786]) ).
thf(852,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[786]) ).
thf(853,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
| ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) ) )
= $false )
| ( ( ~ ( ~ ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
| ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(854,plain,
! [SV139: $i,SV61: $i > $o] :
( ( ( ! [SY293: $i] :
( ~ ( SV61 @ SY293 )
| ( SV139 = SY293 ) ) )
= $false )
| ( ( SV61 @ SV139 )
= $false )
| ( ( ~ ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[788]) ).
thf(855,plain,
! [SV140: $i,SV62: $i > $o] :
( ( ( ! [SY294: $i] :
( ~ ( SV62 @ SY294 )
| ( SV140 = SY294 ) ) )
= $false )
| ( ( SV62 @ SV140 )
= $false )
| ( ( SV62
@ ( descr
@ ^ [SY164: $i] : ( SV62 @ SY164 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(856,plain,
! [SV154: $i,SV150: $i] :
( ( ( SV150 = SV154 )
= $false )
| ( ( ~ ( sK1_Xphi @ SV150 )
| ( sK2_SY0 @ SV154 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(857,plain,
! [SV155: $i,SV151: $i] :
( ( ( SV151 = SV155 )
= $false )
| ( ( ~ ( sK2_SY0 @ SV155 )
| ( sK1_Xphi @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(858,plain,
( ( ~ ( sK1_Xphi @ sK24_SX0 )
| ~ ! [SY299: $i] :
( ~ ( sK1_Xphi @ SY299 )
| ( sK24_SX0 = SY299 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(859,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( sK2_SY0 @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( sK2_SY0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(860,plain,
( ( ( descr
@ ^ [SX0: $i] : ( sK1_Xphi @ SX0 ) )
= ( descr
@ ^ [SX0: $i] : ( sK2_SY0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(861,plain,
! [SV64: $i] :
( ( ~ ( ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK3_SY166 @ SV64 ) )
| ! [SY168: $i] :
( ~ ( in @ SY168 @ SY263 )
| ( in @ SY168 @ SV64 ) ) )
| ~ ! [SY265: $i,SY266: $i] :
( ~ ~ ( ~ ( in @ SY265 @ SV64 )
| ~ ( in @ SY266 @ SV64 ) )
| ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SY265 @ SY267 )
| ( in @ SY266 @ SY267 ) )
| ~ ( ~ ( in @ SY266 @ SY267 )
| ( in @ SY265 @ SY267 ) ) ) )
| ( SY265 = SY266 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(862,plain,
! [SV64: $i] :
( ( ! [SY268: $i,SY269: $i] :
( ~ ~ ( ~ ( in @ SY268 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY269 @ ( sK3_SY166 @ SV64 ) ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY268 )
| ( in @ SX4 @ SY269 ) )
| ! [SX4: $i] :
( ~ ( in @ SX4 @ SY269 )
| ( in @ SX4 @ SY268 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[796]) ).
thf(863,plain,
! [SV64: $i,SV156: $i] :
( ( ( ~ ( ~ ! [SY300: $i] :
( ~ ( in @ SY300 @ SV156 )
| ( in @ SY300 @ SV64 ) )
| ~ ~ ! [SY301: $i] :
~ ( in @ SY301 @ SV156 ) ) )
= $false )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(864,plain,
! [SV127: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK33_SY280 @ SV127 @ SV1 ) )
| ( SV127
= ( sK33_SY280 @ SV127 @ SV1 ) ) )
= $false )
| ( ( SV1 @ SV127 )
= $false )
| ( ( ! [SY19: $i,SY20: $i] :
( ~ ( SV1 @ SY19 )
| ~ ( SV1 @ SY20 )
| ( SY19 = SY20 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[798]) ).
thf(865,plain,
! [SV7: $i,SV73: $i > $o,SV143: $i] :
( ( ( ~ ( ~ ( in @ ( sK29_SY195 @ SV143 @ SV73 @ SV7 ) @ SV7 )
| ~ ~ ( SV73 @ ( sK29_SY195 @ SV143 @ SV73 @ SV7 ) ) ) )
= $true )
| ( ( SV73 @ SV143 )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(866,plain,
! [SV8: $i,SV74: $i > $o] :
( ( ( in @ ( sK15_SY196 @ SV74 @ SV8 ) @ SV8 )
= $true )
| ( ( ! [SY197: $i] :
( ~ ( in @ SY197 @ SV8 )
| ~ ( SV74 @ SY197 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[800]) ).
thf(867,plain,
! [SV8: $i,SV74: $i > $o] :
( ( ( SV74 @ ( sK15_SY196 @ SV74 @ SV8 ) )
= $true )
| ( ( ! [SY197: $i] :
( ~ ( in @ SY197 @ SV8 )
| ~ ( SV74 @ SY197 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[801]) ).
thf(868,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ( SV9 @ ( sK34_SY282 @ SV129 @ SV9 ) )
| ( SV129
= ( sK34_SY282 @ SV129 @ SV9 ) ) )
= $false )
| ( ( SV9 @ SV129 )
= $false )
| ( ( ~ ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[802]) ).
thf(869,plain,
! [SV10: $i,SV75: $i] :
( ( ( ~ ( in @ SV75 @ ( sK25_SY198 @ SV10 @ SV75 ) )
| ~ ( in @ ( sK25_SY198 @ SV10 @ SV75 ) @ SV10 ) )
= $false )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(870,plain,
! [SV10: $i,SV157: $i,SV75: $i] :
( ( ( ~ ( in @ SV75 @ SV157 )
| ~ ( in @ SV157 @ SV10 ) )
= $true )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[804]) ).
thf(871,plain,
! [SV78: $i,SV13: $i,SV130: $o] :
( ( ( in @ ( sK18_SY283 @ SV130 @ SV13 @ SV78 ) @ SV13 )
= $true )
| ( SV130 = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[806]) ).
thf(873,plain,
! [SV78: $i,SV13: $i] :
( ( ( in @ ( sK20_SX0 @ SV13 @ SV78 ) @ SV13 )
= $true )
| ( $false = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(874,plain,
! [SV16: $i,SV81: $i] :
( ( ( ~ ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 )
| ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 ) )
= $false )
| ( ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 )
= $true )
| ( ( SV16 = SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(876,plain,
! [SV16: $i,SV81: $i] :
( ( ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 )
= $false )
| ( ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 )
= $false )
| ( ( SV16 = SV81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(877,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
| ( SV131
= ( sK35_SY284 @ SV131 @ SV18 ) ) )
= $false )
| ( ( SV18 @ SV131 )
= $false )
| ( ( ~ ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[816]) ).
thf(878,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ ( sK26_SY60 @ SV132 @ SV20 ) ) )
= $false )
| ( ( ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[817]) ).
thf(879,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ ( sK30_SY307 @ SV132 @ SV20 ) )
| ( ( sK26_SY60 @ SV132 @ SV20 )
= ( sK30_SY307 @ SV132 @ SV20 ) ) )
= $false )
| ( ( ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[817]) ).
thf(880,plain,
! [SV83: $i > $o,SV22: $i,SV158: $i] :
( ( ( ~ ( ~ ( in @ SV158 @ SV22 )
| ~ ( SV83 @ SV158 ) ) )
= $false )
| ( ( in @ ( sK7_SY208 @ SV83 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(881,plain,
! [SV83: $i > $o,SV22: $i,SV159: $i] :
( ( ( ~ ( ~ ( in @ SV159 @ SV22 )
| ~ ( SV83 @ SV159 ) ) )
= $false )
| ( ( SV83 @ ( sK7_SY208 @ SV83 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(882,plain,
! [SV29: $i,SV144: $i,SV85: $i > $o] :
( ( ( ~ ( SV85 @ SV144 ) )
= $false )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( ~ ! [SY211: $i] :
( ~ ( in @ SY211 @ SV29 )
| ( SV85 @ SY211 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(883,plain,
! [SV30: $i,SV145: $i,SV86: $i > $o] :
( ( ( SV86 @ SV145 )
= $false )
| ( ( in @ SV145 @ SV30 )
= $false )
| ( ( ( ( dsetconstr @ SV30
@ ^ [SY213: $i] : ( SV86 @ SY213 ) )
!= emptyset )
| $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(884,plain,
! [SV133: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ ( sK36_SY285 @ SV133 @ SV31 ) )
| ( SV133
= ( sK36_SY285 @ SV133 @ SV31 ) ) )
= $false )
| ( ( SV31 @ SV133 )
= $false )
| ( ( ! [SY81: $i,SY82: $i] :
( ~ ( SV31 @ SY81 )
| ~ ( SV31 @ SY82 )
| ( SY81 = SY82 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[824]) ).
thf(885,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) ) )
= $false )
| ( ( ~ ( ( ( sK16_SY286 @ SV134 @ SV32 )
!= SV134 )
| ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) ) ) )
= $true )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(886,plain,
! [SV32: $i > $o,SV134: $i] :
( ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $false )
| ( ( ~ ( ( ( sK16_SY286 @ SV134 @ SV32 )
!= SV134 )
| ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) ) ) )
= $true )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(887,plain,
! [SV90: $i,SV37: $i] :
( ( ( ~ ( in @ ( sK31_SY215 @ SV37 @ SV90 ) @ SV90 ) )
= $false )
| ( ( SV37 = SV90 )
= $true )
| ( ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[826]) ).
thf(888,plain,
! [SV90: $i,SV37: $i] :
( ( ( in @ ( sK31_SY215 @ SV37 @ SV90 ) @ SV37 )
= $false )
| ( ( SV37 = SV90 )
= $true )
| ( ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[826]) ).
thf(889,plain,
! [SV90: $i,SV37: $i] :
( ( ( in @ ( sK27_SY215 @ SV37 @ SV90 ) @ SV90 )
= $true )
| ( ( SV37 = SV90 )
= $true )
| ( ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[827]) ).
thf(890,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ( SV42 @ ( sK37_SY288 @ SV136 @ SV42 ) )
| ( SV136
= ( sK37_SY288 @ SV136 @ SV42 ) ) )
= $false )
| ( ( SV42 @ SV136 )
= $false )
| ( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[830]) ).
thf(891,plain,
! [SV43: $i,SV93: $i > $o,SV147: $i] :
( ( ( ~ ( ~ ( in @ ( sK32_SY219 @ SV147 @ SV93 @ SV43 ) @ SV43 )
| ~ ~ ( SV93 @ ( sK32_SY219 @ SV147 @ SV93 @ SV43 ) ) ) )
= $true )
| ( ( SV93 @ SV147 )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[831]) ).
thf(892,plain,
! [SV45: $i,SV95: $i > $o] :
( ( ( in @ ( sK17_SY221 @ SV95 @ SV45 ) @ SV45 )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( in @ SY222 @ SV45 )
| ~ ( SV95 @ SY222 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[832]) ).
thf(893,plain,
! [SV45: $i,SV95: $i > $o] :
( ( ( SV95 @ ( sK17_SY221 @ SV95 @ SV45 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( in @ SY222 @ SV45 )
| ~ ( SV95 @ SY222 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[833]) ).
thf(894,plain,
! [SV46: $i,SV148: $o,SV96: $i,SV120: $i] :
( ( ( ~ ( ~ ( in @ SV120 @ SV96 )
| SV148 ) )
= $true )
| ( SV148 = $true )
| ( ( SV120 = SV46 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(898,plain,
! [SV46: $i,SV96: $i,SV120: $i] :
( ( ( ~ ( ~ ( in @ SV120 @ SV96 )
| $false ) )
= $true )
| ( $false = $true )
| ( ( SV120 = SV46 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[838]) ).
thf(900,plain,
! [SV99: $i,SV149: $i,SV49: $i,SV137: $i] :
( ( ( ~ ( in @ SV137 @ SV49 )
| ( in @ SV149 @ SV99 ) )
= $true )
| ( ( SV137 = SV149 )
= $false )
| ( ( SV49 = SV99 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[844]) ).
thf(901,plain,
! [SV49: $i,SV137: $i,SV99: $i,SV149: $i] :
( ( ( ~ ( in @ SV149 @ SV99 )
| ( in @ SV137 @ SV49 ) )
= $true )
| ( ( SV137 = SV149 )
= $false )
| ( ( SV49 = SV99 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[845]) ).
thf(902,plain,
! [SV51: $i] :
( ( ( ~ ( in @ ( sK22_SY127 @ SV51 ) @ omega )
| ~ ( in @ ( sK22_SY127 @ SV51 ) @ SV51 ) )
= $false )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(903,plain,
! [SV51: $i,SV160: $i] :
( ( ( ~ ( in @ SV160 @ omega ) )
= $true )
| ( ( in @ SV160 @ SV51 )
= $true )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( in @ ( setadjoin @ ( sK22_SY127 @ SV51 ) @ ( sK22_SY127 @ SV51 ) ) @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[847]) ).
thf(904,plain,
! [SV52: $i,SV138: $i] :
( ( ( ~ ( in @ ( sK23_SY130 @ SV138 @ SV52 ) @ SV52 ) )
= $false )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[848]) ).
thf(905,plain,
! [SV52: $i,SV138: $i] :
( ( ( ~ ~ ~ ! [SY297: $i] :
~ ~ ( ~ ( in @ SY297 @ ( sK23_SY130 @ SV138 @ SV52 ) )
| ~ ( in @ SY297 @ SV52 ) ) )
= $false )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[848]) ).
thf(906,plain,
! [SV102: $i,SV55: $i > $i > $o,SV161: $i] :
( ( ( ~ ( ~ ( ~ ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
| ~ ! [SY311: $i] :
~ ~ ( ~ ( in @ SY311 @ SV102 )
| ~ ( SV55 @ SY311 @ SV161 ) ) )
| ~ ( ~ ~ ! [SY312: $i] :
~ ~ ( ~ ( in @ SY312 @ SV102 )
| ~ ( SV55 @ SY312 @ SV161 ) )
| ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) ) ) ) )
= $true )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(907,plain,
! [SV153: $i,SV102: $i,SV55: $i > $i > $o] :
( ( ( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 ) )
= $true )
| ( ( ~ ! [SY298: $i] :
( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SY298 )
| ( SV153 = SY298 ) ) )
= $true )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[850]) ).
thf(908,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[851]) ).
thf(909,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[852]) ).
thf(910,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) ) )
= $false )
| ( ( ~ ( ~ ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
| ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(911,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( ~ ( ~ ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
| ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(912,plain,
! [SV139: $i,SV61: $i > $o] :
( ( ( ~ ( SV61 @ ( sK38_SY293 @ SV139 @ SV61 ) )
| ( SV139
= ( sK38_SY293 @ SV139 @ SV61 ) ) )
= $false )
| ( ( SV61 @ SV139 )
= $false )
| ( ( ~ ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[854]) ).
thf(913,plain,
! [SV140: $i,SV62: $i > $o] :
( ( ( ~ ( SV62 @ ( sK39_SY294 @ SV140 @ SV62 ) )
| ( SV140
= ( sK39_SY294 @ SV140 @ SV62 ) ) )
= $false )
| ( ( SV62 @ SV140 )
= $false )
| ( ( SV62
@ ( descr
@ ^ [SY164: $i] : ( SV62 @ SY164 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[855]) ).
thf(914,plain,
! [SV154: $i,SV150: $i] :
( ( ( ~ ( sK1_Xphi @ SV150 ) )
= $true )
| ( ( sK2_SY0 @ SV154 )
= $true )
| ( ( SV150 = SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[856]) ).
thf(915,plain,
! [SV151: $i,SV155: $i] :
( ( ( ~ ( sK2_SY0 @ SV155 ) )
= $true )
| ( ( sK1_Xphi @ SV151 )
= $true )
| ( ( SV151 = SV155 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[857]) ).
thf(916,plain,
( ( ~ ( sK1_Xphi @ sK24_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(917,plain,
( ( ~ ! [SY299: $i] :
( ~ ( sK1_Xphi @ SY299 )
| ( sK24_SX0 = SY299 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(918,plain,
( ( ~ ~ ( ~ ( sK2_SY0 @ sK40_SX0 )
| ~ ! [SY313: $i] :
( ~ ( sK2_SY0 @ SY313 )
| ( sK40_SX0 = SY313 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[859]) ).
thf(919,plain,
! [SV64: $i] :
( ( ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK3_SY166 @ SV64 ) )
| ! [SY168: $i] :
( ~ ( in @ SY168 @ SY263 )
| ( in @ SY168 @ SV64 ) ) )
| ~ ! [SY265: $i,SY266: $i] :
( ~ ~ ( ~ ( in @ SY265 @ SV64 )
| ~ ( in @ SY266 @ SV64 ) )
| ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SY265 @ SY267 )
| ( in @ SY266 @ SY267 ) )
| ~ ( ~ ( in @ SY266 @ SY267 )
| ( in @ SY265 @ SY267 ) ) ) )
| ( SY265 = SY266 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(920,plain,
! [SV64: $i,SV162: $i] :
( ( ! [SY314: $i] :
( ~ ~ ( ~ ( in @ SV162 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY314 @ ( sK3_SY166 @ SV64 ) ) )
| ! [SY315: $i] :
( ~ ( in @ SY315 @ SV162 )
| ( in @ SY315 @ SY314 ) )
| ! [SY316: $i] :
( ~ ( in @ SY316 @ SY314 )
| ( in @ SY316 @ SV162 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[862]) ).
thf(921,plain,
! [SV64: $i,SV156: $i] :
( ( ( ~ ! [SY300: $i] :
( ~ ( in @ SY300 @ SV156 )
| ( in @ SY300 @ SV64 ) )
| ~ ~ ! [SY301: $i] :
~ ( in @ SY301 @ SV156 ) )
= $true )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(922,plain,
! [SV127: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK33_SY280 @ SV127 @ SV1 ) ) )
= $false )
| ( ( SV1 @ SV127 )
= $false )
| ( ( ! [SY19: $i,SY20: $i] :
( ~ ( SV1 @ SY19 )
| ~ ( SV1 @ SY20 )
| ( SY19 = SY20 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[864]) ).
thf(923,plain,
! [SV1: $i > $o,SV127: $i] :
( ( ( SV127
= ( sK33_SY280 @ SV127 @ SV1 ) )
= $false )
| ( ( SV1 @ SV127 )
= $false )
| ( ( ! [SY19: $i,SY20: $i] :
( ~ ( SV1 @ SY19 )
| ~ ( SV1 @ SY20 )
| ( SY19 = SY20 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[864]) ).
thf(924,plain,
! [SV7: $i,SV73: $i > $o,SV143: $i] :
( ( ( ~ ( in @ ( sK29_SY195 @ SV143 @ SV73 @ SV7 ) @ SV7 )
| ~ ~ ( SV73 @ ( sK29_SY195 @ SV143 @ SV73 @ SV7 ) ) )
= $false )
| ( ( SV73 @ SV143 )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(925,plain,
! [SV74: $i > $o,SV8: $i,SV163: $i] :
( ( ( ~ ( in @ SV163 @ SV8 )
| ~ ( SV74 @ SV163 ) )
= $true )
| ( ( in @ ( sK15_SY196 @ SV74 @ SV8 ) @ SV8 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(926,plain,
! [SV74: $i > $o,SV8: $i,SV164: $i] :
( ( ( ~ ( in @ SV164 @ SV8 )
| ~ ( SV74 @ SV164 ) )
= $true )
| ( ( SV74 @ ( sK15_SY196 @ SV74 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(927,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ( SV9 @ ( sK34_SY282 @ SV129 @ SV9 ) ) )
= $false )
| ( ( SV9 @ SV129 )
= $false )
| ( ( ~ ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(928,plain,
! [SV9: $i > $o,SV129: $i] :
( ( ( SV129
= ( sK34_SY282 @ SV129 @ SV9 ) )
= $false )
| ( ( SV9 @ SV129 )
= $false )
| ( ( ~ ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(929,plain,
! [SV10: $i,SV75: $i] :
( ( ( ~ ( in @ SV75 @ ( sK25_SY198 @ SV10 @ SV75 ) ) )
= $false )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[869]) ).
thf(930,plain,
! [SV75: $i,SV10: $i] :
( ( ( ~ ( in @ ( sK25_SY198 @ SV10 @ SV75 ) @ SV10 ) )
= $false )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[869]) ).
thf(931,plain,
! [SV10: $i,SV157: $i,SV75: $i] :
( ( ( ~ ( in @ SV75 @ SV157 ) )
= $true )
| ( ( ~ ( in @ SV157 @ SV10 ) )
= $true )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[870]) ).
thf(932,plain,
! [SV16: $i,SV81: $i] :
( ( ( ~ ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 ) )
= $false )
| ( ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 )
= $true )
| ( ( SV16 = SV81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(935,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) ) )
= $false )
| ( ( SV18 @ SV131 )
= $false )
| ( ( ~ ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[877]) ).
thf(936,plain,
! [SV18: $i > $o,SV131: $i] :
( ( ( SV131
= ( sK35_SY284 @ SV131 @ SV18 ) )
= $false )
| ( ( SV18 @ SV131 )
= $false )
| ( ( ~ ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[877]) ).
thf(937,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( SV20 @ ( sK26_SY60 @ SV132 @ SV20 ) )
= $true )
| ( ( ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[878]) ).
thf(938,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ ( sK30_SY307 @ SV132 @ SV20 ) ) )
= $false )
| ( ( ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[879]) ).
thf(939,plain,
! [SV20: $i > $o,SV132: $i] :
( ( ( ( sK26_SY60 @ SV132 @ SV20 )
= ( sK30_SY307 @ SV132 @ SV20 ) )
= $false )
| ( ( ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[879]) ).
thf(940,plain,
! [SV83: $i > $o,SV22: $i,SV158: $i] :
( ( ( ~ ( in @ SV158 @ SV22 )
| ~ ( SV83 @ SV158 ) )
= $true )
| ( ( in @ ( sK7_SY208 @ SV83 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[880]) ).
thf(941,plain,
! [SV83: $i > $o,SV22: $i,SV159: $i] :
( ( ( ~ ( in @ SV159 @ SV22 )
| ~ ( SV83 @ SV159 ) )
= $true )
| ( ( SV83 @ ( sK7_SY208 @ SV83 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[881]) ).
thf(942,plain,
! [SV29: $i,SV144: $i,SV85: $i > $o] :
( ( ( SV85 @ SV144 )
= $true )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( ~ ! [SY211: $i] :
( ~ ( in @ SY211 @ SV29 )
| ( SV85 @ SY211 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[882]) ).
thf(943,plain,
! [SV145: $i,SV86: $i > $o,SV30: $i] :
( ( ( ( dsetconstr @ SV30
@ ^ [SY213: $i] : ( SV86 @ SY213 ) )
!= emptyset )
= $true )
| ( $false = $true )
| ( ( in @ SV145 @ SV30 )
= $false )
| ( ( SV86 @ SV145 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[883]) ).
thf(944,plain,
! [SV133: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ ( sK36_SY285 @ SV133 @ SV31 ) ) )
= $false )
| ( ( SV31 @ SV133 )
= $false )
| ( ( ! [SY81: $i,SY82: $i] :
( ~ ( SV31 @ SY81 )
| ~ ( SV31 @ SY82 )
| ( SY81 = SY82 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(945,plain,
! [SV31: $i > $o,SV133: $i] :
( ( ( SV133
= ( sK36_SY285 @ SV133 @ SV31 ) )
= $false )
| ( ( SV31 @ SV133 )
= $false )
| ( ( ! [SY81: $i,SY82: $i] :
( ~ ( SV31 @ SY81 )
| ~ ( SV31 @ SY82 )
| ( SY81 = SY82 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(946,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $true )
| ( ( ~ ( ( ( sK16_SY286 @ SV134 @ SV32 )
!= SV134 )
| ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) ) ) )
= $true )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[885]) ).
thf(947,plain,
! [SV32: $i > $o,SV134: $i] :
( ( ( ( ( sK16_SY286 @ SV134 @ SV32 )
!= SV134 )
| ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) ) )
= $false )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $false )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(948,plain,
! [SV90: $i,SV37: $i] :
( ( ( in @ ( sK31_SY215 @ SV37 @ SV90 ) @ SV90 )
= $true )
| ( ( SV37 = SV90 )
= $true )
| ( ( in @ ( sK8_SY214 @ SV90 @ SV37 ) @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[887]) ).
thf(949,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ( SV42 @ ( sK37_SY288 @ SV136 @ SV42 ) ) )
= $false )
| ( ( SV42 @ SV136 )
= $false )
| ( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(950,plain,
! [SV42: $i > $o,SV136: $i] :
( ( ( SV136
= ( sK37_SY288 @ SV136 @ SV42 ) )
= $false )
| ( ( SV42 @ SV136 )
= $false )
| ( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(951,plain,
! [SV43: $i,SV93: $i > $o,SV147: $i] :
( ( ( ~ ( in @ ( sK32_SY219 @ SV147 @ SV93 @ SV43 ) @ SV43 )
| ~ ~ ( SV93 @ ( sK32_SY219 @ SV147 @ SV93 @ SV43 ) ) )
= $false )
| ( ( SV93 @ SV147 )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(952,plain,
! [SV95: $i > $o,SV45: $i,SV165: $i] :
( ( ( ~ ( in @ SV165 @ SV45 )
| ~ ( SV95 @ SV165 ) )
= $true )
| ( ( in @ ( sK17_SY221 @ SV95 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(953,plain,
! [SV95: $i > $o,SV45: $i,SV166: $i] :
( ( ( ~ ( in @ SV166 @ SV45 )
| ~ ( SV95 @ SV166 ) )
= $true )
| ( ( SV95 @ ( sK17_SY221 @ SV95 @ SV45 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(954,plain,
! [SV46: $i,SV148: $o,SV96: $i,SV120: $i] :
( ( ( ~ ( in @ SV120 @ SV96 )
| SV148 )
= $false )
| ( SV148 = $true )
| ( ( SV120 = SV46 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(960,plain,
! [SV46: $i,SV96: $i,SV120: $i] :
( ( ( ~ ( in @ SV120 @ SV96 )
| $false )
= $false )
| ( $false = $true )
| ( ( SV120 = SV46 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(963,plain,
! [SV99: $i,SV149: $i,SV49: $i,SV137: $i] :
( ( ( ~ ( in @ SV137 @ SV49 ) )
= $true )
| ( ( in @ SV149 @ SV99 )
= $true )
| ( ( SV137 = SV149 )
= $false )
| ( ( SV49 = SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(964,plain,
! [SV49: $i,SV137: $i,SV99: $i,SV149: $i] :
( ( ( ~ ( in @ SV149 @ SV99 ) )
= $true )
| ( ( in @ SV137 @ SV49 )
= $true )
| ( ( SV137 = SV149 )
= $false )
| ( ( SV49 = SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[901]) ).
thf(965,plain,
! [SV51: $i] :
( ( ( ~ ( in @ ( sK22_SY127 @ SV51 ) @ omega ) )
= $false )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(966,plain,
! [SV51: $i] :
( ( ( ~ ( in @ ( sK22_SY127 @ SV51 ) @ SV51 ) )
= $false )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(967,plain,
! [SV51: $i,SV160: $i] :
( ( ( in @ SV160 @ omega )
= $false )
| ( ( in @ SV160 @ SV51 )
= $true )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( in @ ( setadjoin @ ( sK22_SY127 @ SV51 ) @ ( sK22_SY127 @ SV51 ) ) @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(968,plain,
! [SV52: $i,SV138: $i] :
( ( ( in @ ( sK23_SY130 @ SV138 @ SV52 ) @ SV52 )
= $true )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[904]) ).
thf(969,plain,
! [SV52: $i,SV138: $i] :
( ( ( ~ ~ ! [SY297: $i] :
~ ~ ( ~ ( in @ SY297 @ ( sK23_SY130 @ SV138 @ SV52 ) )
| ~ ( in @ SY297 @ SV52 ) ) )
= $true )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[905]) ).
thf(970,plain,
! [SV102: $i,SV55: $i > $i > $o,SV161: $i] :
( ( ( ~ ( ~ ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
| ~ ! [SY311: $i] :
~ ~ ( ~ ( in @ SY311 @ SV102 )
| ~ ( SV55 @ SY311 @ SV161 ) ) )
| ~ ( ~ ~ ! [SY312: $i] :
~ ~ ( ~ ( in @ SY312 @ SV102 )
| ~ ( SV55 @ SY312 @ SV161 ) )
| ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(971,plain,
! [SV153: $i,SV102: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( ~ ! [SY298: $i] :
( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SY298 )
| ( SV153 = SY298 ) ) )
= $true )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(972,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[908]) ).
thf(973,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[909]) ).
thf(974,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( ~ ( ~ ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
| ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[910]) ).
thf(975,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
| ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(976,plain,
! [SV139: $i,SV61: $i > $o] :
( ( ( ~ ( SV61 @ ( sK38_SY293 @ SV139 @ SV61 ) ) )
= $false )
| ( ( SV61 @ SV139 )
= $false )
| ( ( ~ ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(977,plain,
! [SV61: $i > $o,SV139: $i] :
( ( ( SV139
= ( sK38_SY293 @ SV139 @ SV61 ) )
= $false )
| ( ( SV61 @ SV139 )
= $false )
| ( ( ~ ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(978,plain,
! [SV140: $i,SV62: $i > $o] :
( ( ( ~ ( SV62 @ ( sK39_SY294 @ SV140 @ SV62 ) ) )
= $false )
| ( ( SV62 @ SV140 )
= $false )
| ( ( SV62
@ ( descr
@ ^ [SY164: $i] : ( SV62 @ SY164 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(979,plain,
! [SV62: $i > $o,SV140: $i] :
( ( ( SV140
= ( sK39_SY294 @ SV140 @ SV62 ) )
= $false )
| ( ( SV62 @ SV140 )
= $false )
| ( ( SV62
@ ( descr
@ ^ [SY164: $i] : ( SV62 @ SY164 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(980,plain,
! [SV154: $i,SV150: $i] :
( ( ( sK1_Xphi @ SV150 )
= $false )
| ( ( sK2_SY0 @ SV154 )
= $true )
| ( ( SV150 = SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(981,plain,
! [SV151: $i,SV155: $i] :
( ( ( sK2_SY0 @ SV155 )
= $false )
| ( ( sK1_Xphi @ SV151 )
= $true )
| ( ( SV151 = SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(982,plain,
( ( sK1_Xphi @ sK24_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[916]) ).
thf(983,plain,
( ( ! [SY299: $i] :
( ~ ( sK1_Xphi @ SY299 )
| ( sK24_SX0 = SY299 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[917]) ).
thf(984,plain,
( ( ~ ( ~ ( sK2_SY0 @ sK40_SX0 )
| ~ ! [SY313: $i] :
( ~ ( sK2_SY0 @ SY313 )
| ( sK40_SX0 = SY313 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[918]) ).
thf(985,plain,
! [SV64: $i] :
( ( ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK3_SY166 @ SV64 ) )
| ! [SY168: $i] :
( ~ ( in @ SY168 @ SY263 )
| ( in @ SY168 @ SV64 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[919]) ).
thf(986,plain,
! [SV64: $i] :
( ( ~ ! [SY265: $i,SY266: $i] :
( ~ ~ ( ~ ( in @ SY265 @ SV64 )
| ~ ( in @ SY266 @ SV64 ) )
| ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SY265 @ SY267 )
| ( in @ SY266 @ SY267 ) )
| ~ ( ~ ( in @ SY266 @ SY267 )
| ( in @ SY265 @ SY267 ) ) ) )
| ( SY265 = SY266 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[919]) ).
thf(987,plain,
! [SV167: $i,SV64: $i,SV162: $i] :
( ( ~ ~ ( ~ ( in @ SV162 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SV167 @ ( sK3_SY166 @ SV64 ) ) )
| ! [SY317: $i] :
( ~ ( in @ SY317 @ SV162 )
| ( in @ SY317 @ SV167 ) )
| ! [SY318: $i] :
( ~ ( in @ SY318 @ SV167 )
| ( in @ SY318 @ SV162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(988,plain,
! [SV64: $i,SV156: $i] :
( ( ( ~ ! [SY300: $i] :
( ~ ( in @ SY300 @ SV156 )
| ( in @ SY300 @ SV64 ) ) )
= $true )
| ( ( ~ ~ ! [SY301: $i] :
~ ( in @ SY301 @ SV156 ) )
= $true )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[921]) ).
thf(989,plain,
! [SV127: $i,SV1: $i > $o] :
( ( ( SV1 @ ( sK33_SY280 @ SV127 @ SV1 ) )
= $true )
| ( ( SV1 @ SV127 )
= $false )
| ( ( ! [SY19: $i,SY20: $i] :
( ~ ( SV1 @ SY19 )
| ~ ( SV1 @ SY20 )
| ( SY19 = SY20 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[922]) ).
thf(990,plain,
! [SV127: $i,SV168: $i,SV1: $i > $o] :
( ( ( ! [SY319: $i] :
( ~ ( SV1 @ SV168 )
| ~ ( SV1 @ SY319 )
| ( SV168 = SY319 ) ) )
= $true )
| ( ( SV1 @ SV127 )
= $false )
| ( ( SV127
= ( sK33_SY280 @ SV127 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(991,plain,
! [SV7: $i,SV73: $i > $o,SV143: $i] :
( ( ( ~ ( in @ ( sK29_SY195 @ SV143 @ SV73 @ SV7 ) @ SV7 ) )
= $false )
| ( ( SV73 @ SV143 )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[924]) ).
thf(992,plain,
! [SV7: $i,SV143: $i,SV73: $i > $o] :
( ( ( ~ ~ ( SV73 @ ( sK29_SY195 @ SV143 @ SV73 @ SV7 ) ) )
= $false )
| ( ( SV73 @ SV143 )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[924]) ).
thf(993,plain,
! [SV74: $i > $o,SV8: $i,SV163: $i] :
( ( ( ~ ( in @ SV163 @ SV8 ) )
= $true )
| ( ( ~ ( SV74 @ SV163 ) )
= $true )
| ( ( in @ ( sK15_SY196 @ SV74 @ SV8 ) @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[925]) ).
thf(994,plain,
! [SV74: $i > $o,SV8: $i,SV164: $i] :
( ( ( ~ ( in @ SV164 @ SV8 ) )
= $true )
| ( ( ~ ( SV74 @ SV164 ) )
= $true )
| ( ( SV74 @ ( sK15_SY196 @ SV74 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[926]) ).
thf(995,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( SV9 @ ( sK34_SY282 @ SV129 @ SV9 ) )
= $true )
| ( ( SV9 @ SV129 )
= $false )
| ( ( ~ ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[927]) ).
thf(996,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $false )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(997,plain,
! [SV10: $i,SV75: $i] :
( ( ( in @ SV75 @ ( sK25_SY198 @ SV10 @ SV75 ) )
= $true )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[929]) ).
thf(998,plain,
! [SV75: $i,SV10: $i] :
( ( ( in @ ( sK25_SY198 @ SV10 @ SV75 ) @ SV10 )
= $true )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[930]) ).
thf(999,plain,
! [SV10: $i,SV157: $i,SV75: $i] :
( ( ( in @ SV75 @ SV157 )
= $false )
| ( ( ~ ( in @ SV157 @ SV10 ) )
= $true )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(1000,plain,
! [SV16: $i,SV81: $i] :
( ( ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV81 )
= $true )
| ( ( in @ ( sK6_SY207 @ SV81 @ SV16 ) @ SV16 )
= $true )
| ( ( SV16 = SV81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(1001,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( ~ ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(1002,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $false )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(1003,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $false )
| ( ( SV20 @ ( sK26_SY60 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(1004,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( SV20 @ ( sK30_SY307 @ SV132 @ SV20 ) )
= $true )
| ( ( ~ ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[938]) ).
thf(1005,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $false )
| ( ( ( sK26_SY60 @ SV132 @ SV20 )
= ( sK30_SY307 @ SV132 @ SV20 ) )
= $false )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(1006,plain,
! [SV83: $i > $o,SV22: $i,SV158: $i] :
( ( ( ~ ( in @ SV158 @ SV22 ) )
= $true )
| ( ( ~ ( SV83 @ SV158 ) )
= $true )
| ( ( in @ ( sK7_SY208 @ SV83 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[940]) ).
thf(1007,plain,
! [SV83: $i > $o,SV22: $i,SV159: $i] :
( ( ( ~ ( in @ SV159 @ SV22 ) )
= $true )
| ( ( ~ ( SV83 @ SV159 ) )
= $true )
| ( ( SV83 @ ( sK7_SY208 @ SV83 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(1008,plain,
! [SV144: $i,SV85: $i > $o,SV29: $i] :
( ( ( ! [SY211: $i] :
( ~ ( in @ SY211 @ SV29 )
| ( SV85 @ SY211 ) ) )
= $false )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( SV85 @ SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1009,plain,
! [SV145: $i,SV86: $i > $o,SV30: $i] :
( ( ( ( dsetconstr @ SV30
@ ^ [SY213: $i] : ( SV86 @ SY213 ) )
= emptyset )
= $false )
| ( $false = $true )
| ( ( in @ SV145 @ SV30 )
= $false )
| ( ( SV86 @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1010,plain,
! [SV133: $i,SV31: $i > $o] :
( ( ( SV31 @ ( sK36_SY285 @ SV133 @ SV31 ) )
= $true )
| ( ( SV31 @ SV133 )
= $false )
| ( ( ! [SY81: $i,SY82: $i] :
( ~ ( SV31 @ SY81 )
| ~ ( SV31 @ SY82 )
| ( SY81 = SY82 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[944]) ).
thf(1011,plain,
! [SV133: $i,SV169: $i,SV31: $i > $o] :
( ( ( ! [SY320: $i] :
( ~ ( SV31 @ SV169 )
| ~ ( SV31 @ SY320 )
| ( SV169 = SY320 ) ) )
= $true )
| ( ( SV31 @ SV133 )
= $false )
| ( ( SV133
= ( sK36_SY285 @ SV133 @ SV31 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1012,plain,
! [SV32: $i > $o,SV134: $i] :
( ( ( ( ( sK16_SY286 @ SV134 @ SV32 )
!= SV134 )
| ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) ) )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $true )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1014,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $false )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $false )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(1015,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( SV42 @ ( sK37_SY288 @ SV136 @ SV42 ) )
= $true )
| ( ( SV42 @ SV136 )
= $false )
| ( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[949]) ).
thf(1016,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $false )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136 @ SV42 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[950]) ).
thf(1017,plain,
! [SV43: $i,SV93: $i > $o,SV147: $i] :
( ( ( ~ ( in @ ( sK32_SY219 @ SV147 @ SV93 @ SV43 ) @ SV43 ) )
= $false )
| ( ( SV93 @ SV147 )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[951]) ).
thf(1018,plain,
! [SV43: $i,SV147: $i,SV93: $i > $o] :
( ( ( ~ ~ ( SV93 @ ( sK32_SY219 @ SV147 @ SV93 @ SV43 ) ) )
= $false )
| ( ( SV93 @ SV147 )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[951]) ).
thf(1019,plain,
! [SV95: $i > $o,SV45: $i,SV165: $i] :
( ( ( ~ ( in @ SV165 @ SV45 ) )
= $true )
| ( ( ~ ( SV95 @ SV165 ) )
= $true )
| ( ( in @ ( sK17_SY221 @ SV95 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[952]) ).
thf(1020,plain,
! [SV95: $i > $o,SV45: $i,SV166: $i] :
( ( ( ~ ( in @ SV166 @ SV45 ) )
= $true )
| ( ( ~ ( SV95 @ SV166 ) )
= $true )
| ( ( SV95 @ ( sK17_SY221 @ SV95 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[953]) ).
thf(1021,plain,
! [SV46: $i,SV148: $o,SV96: $i,SV120: $i] :
( ( ( ~ ( in @ SV120 @ SV96 ) )
= $false )
| ( SV148 = $true )
| ( ( SV120 = SV46 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1027,plain,
! [SV46: $i,SV96: $i,SV120: $i] :
( ( ( ~ ( in @ SV120 @ SV96 ) )
= $false )
| ( $false = $true )
| ( ( SV120 = SV46 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1030,plain,
! [SV99: $i,SV149: $i,SV49: $i,SV137: $i] :
( ( ( in @ SV137 @ SV49 )
= $false )
| ( ( in @ SV149 @ SV99 )
= $true )
| ( ( SV137 = SV149 )
= $false )
| ( ( SV49 = SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(1031,plain,
! [SV49: $i,SV137: $i,SV99: $i,SV149: $i] :
( ( ( in @ SV149 @ SV99 )
= $false )
| ( ( in @ SV137 @ SV49 )
= $true )
| ( ( SV137 = SV149 )
= $false )
| ( ( SV49 = SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(1032,plain,
! [SV51: $i] :
( ( ( in @ ( sK22_SY127 @ SV51 ) @ omega )
= $true )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(1033,plain,
! [SV51: $i] :
( ( ( in @ ( sK22_SY127 @ SV51 ) @ SV51 )
= $true )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( in @ SY128 @ omega )
| ( in @ SY128 @ SV51 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[966]) ).
thf(1034,plain,
! [SV52: $i,SV138: $i] :
( ( ( ~ ! [SY297: $i] :
~ ~ ( ~ ( in @ SY297 @ ( sK23_SY130 @ SV138 @ SV52 ) )
| ~ ( in @ SY297 @ SV52 ) ) )
= $false )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1035,plain,
! [SV102: $i,SV55: $i > $i > $o,SV161: $i] :
( ( ( ~ ( ~ ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
| ~ ! [SY311: $i] :
~ ~ ( ~ ( in @ SY311 @ SV102 )
| ~ ( SV55 @ SY311 @ SV161 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1036,plain,
! [SV161: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ~ ( ~ ~ ! [SY312: $i] :
~ ~ ( ~ ( in @ SY312 @ SV102 )
| ~ ( SV55 @ SY312 @ SV161 ) )
| ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1037,plain,
! [SV153: $i,SV102: $i,SV55: $i > $i > $o] :
( ( ( ! [SY298: $i] :
( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SY298 )
| ( SV153 = SY298 ) ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[971]) ).
thf(1038,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) ) )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1039,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) ) )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(1040,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
| ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1042,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[975]) ).
thf(1043,plain,
! [SV139: $i,SV61: $i > $o] :
( ( ( SV61 @ ( sK38_SY293 @ SV139 @ SV61 ) )
= $true )
| ( ( SV61 @ SV139 )
= $false )
| ( ( ~ ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(1044,plain,
! [SV139: $i,SV61: $i > $o] :
( ( ( ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $false )
| ( ( SV61 @ SV139 )
= $false )
| ( ( SV139
= ( sK38_SY293 @ SV139 @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(1045,plain,
! [SV140: $i,SV62: $i > $o] :
( ( ( SV62 @ ( sK39_SY294 @ SV140 @ SV62 ) )
= $true )
| ( ( SV62 @ SV140 )
= $false )
| ( ( SV62
@ ( descr
@ ^ [SY164: $i] : ( SV62 @ SY164 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(1046,plain,
! [SV170: $i] :
( ( ~ ( sK1_Xphi @ SV170 )
| ( sK24_SX0 = SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[983]) ).
thf(1047,plain,
( ( ~ ( sK2_SY0 @ sK40_SX0 )
| ~ ! [SY313: $i] :
( ~ ( sK2_SY0 @ SY313 )
| ( sK40_SX0 = SY313 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(1048,plain,
! [SV64: $i] :
( ( ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK3_SY166 @ SV64 ) )
| ! [SY168: $i] :
( ~ ( in @ SY168 @ SY263 )
| ( in @ SY168 @ SV64 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1049,plain,
! [SV64: $i] :
( ( ! [SY265: $i,SY266: $i] :
( ~ ~ ( ~ ( in @ SY265 @ SV64 )
| ~ ( in @ SY266 @ SV64 ) )
| ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SY265 @ SY267 )
| ( in @ SY266 @ SY267 ) )
| ~ ( ~ ( in @ SY266 @ SY267 )
| ( in @ SY265 @ SY267 ) ) ) )
| ( SY265 = SY266 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[986]) ).
thf(1050,plain,
! [SV167: $i,SV64: $i,SV162: $i] :
( ( ( ~ ~ ( ~ ( in @ SV162 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SV167 @ ( sK3_SY166 @ SV64 ) ) ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( in @ SY317 @ SV162 )
| ( in @ SY317 @ SV167 ) )
| ! [SY318: $i] :
( ~ ( in @ SY318 @ SV167 )
| ( in @ SY318 @ SV162 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[987]) ).
thf(1051,plain,
! [SV64: $i,SV156: $i] :
( ( ( ! [SY300: $i] :
( ~ ( in @ SY300 @ SV156 )
| ( in @ SY300 @ SV64 ) ) )
= $false )
| ( ( ~ ~ ! [SY301: $i] :
~ ( in @ SY301 @ SV156 ) )
= $true )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1052,plain,
! [SV127: $i,SV171: $i,SV1: $i > $o] :
( ( ( ! [SY321: $i] :
( ~ ( SV1 @ SV171 )
| ~ ( SV1 @ SY321 )
| ( SV171 = SY321 ) ) )
= $true )
| ( ( SV1 @ SV127 )
= $false )
| ( ( SV1 @ ( sK33_SY280 @ SV127 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[989]) ).
thf(1053,plain,
! [SV127: $i,SV172: $i,SV168: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV168 )
| ~ ( SV1 @ SV172 )
| ( SV168 = SV172 ) )
= $true )
| ( ( SV1 @ SV127 )
= $false )
| ( ( SV127
= ( sK33_SY280 @ SV127 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[990]) ).
thf(1054,plain,
! [SV7: $i,SV73: $i > $o,SV143: $i] :
( ( ( in @ ( sK29_SY195 @ SV143 @ SV73 @ SV7 ) @ SV7 )
= $true )
| ( ( SV73 @ SV143 )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[991]) ).
thf(1055,plain,
! [SV7: $i,SV143: $i,SV73: $i > $o] :
( ( ( ~ ( SV73 @ ( sK29_SY195 @ SV143 @ SV73 @ SV7 ) ) )
= $true )
| ( ( SV73 @ SV143 )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(1056,plain,
! [SV74: $i > $o,SV8: $i,SV163: $i] :
( ( ( in @ SV163 @ SV8 )
= $false )
| ( ( ~ ( SV74 @ SV163 ) )
= $true )
| ( ( in @ ( sK15_SY196 @ SV74 @ SV8 ) @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1057,plain,
! [SV74: $i > $o,SV8: $i,SV164: $i] :
( ( ( in @ SV164 @ SV8 )
= $false )
| ( ( ~ ( SV74 @ SV164 ) )
= $true )
| ( ( SV74 @ ( sK15_SY196 @ SV74 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1058,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ! [SY36: $i] :
~ ~ ( ~ ( SV9 @ SY36 )
| ~ ! [SY37: $i] :
( ~ ( SV9 @ SY37 )
| ( SY36 = SY37 ) ) ) )
= $false )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV9 @ ( sK34_SY282 @ SV129 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1059,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ~ ( ~ ( SV9 @ ( sK41_SY36 @ SV129 @ SV9 ) )
| ~ ! [SY322: $i] :
( ~ ( SV9 @ SY322 )
| ( ( sK41_SY36 @ SV129 @ SV9 )
= SY322 ) ) ) )
= $false )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[996]) ).
thf(1060,plain,
! [SV75: $i,SV10: $i,SV157: $i] :
( ( ( in @ SV157 @ SV10 )
= $false )
| ( ( in @ SV75 @ SV157 )
= $false )
| ( ( in @ SV75 @ ( setunion @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1061,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( ! [SY57: $i] :
~ ! [SY58: $i] :
~ ( ~ ( ~ ( SV18 @ SY58 )
| ( SY58 = SY57 ) )
| ~ ( ( SY58 != SY57 )
| ( SV18 @ SY58 ) ) ) )
= $false )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1062,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( ~ ! [SY323: $i] :
~ ( ~ ( ~ ( SV18 @ SY323 )
| ( SY323
= ( sK42_SY57 @ SV131 @ SV18 ) ) )
| ~ ( ( SY323
!= ( sK42_SY57 @ SV131 @ SV18 ) )
| ( SV18 @ SY323 ) ) ) )
= $false )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1002]) ).
thf(1063,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ~ ( ~ ( SV20 @ ( sK43_SY62 @ SV132 @ SV20 ) )
| ~ ! [SY324: $i] :
( ~ ( SV20 @ SY324 )
| ( ( sK43_SY62 @ SV132 @ SV20 )
= SY324 ) ) ) )
= $false )
| ( ( SV20 @ ( sK26_SY60 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1003]) ).
thf(1064,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ! [SY62: $i] :
~ ~ ( ~ ( SV20 @ SY62 )
| ~ ! [SY63: $i] :
( ~ ( SV20 @ SY63 )
| ( SY62 = SY63 ) ) ) )
= $false )
| ( ( SV20 @ ( sK30_SY307 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1004]) ).
thf(1065,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ~ ( ~ ( SV20 @ ( sK44_SY62 @ SV132 @ SV20 ) )
| ~ ! [SY325: $i] :
( ~ ( SV20 @ SY325 )
| ( ( sK44_SY62 @ SV132 @ SV20 )
= SY325 ) ) ) )
= $false )
| ( ( ( sK26_SY60 @ SV132 @ SV20 )
= ( sK30_SY307 @ SV132 @ SV20 ) )
= $false )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1005]) ).
thf(1066,plain,
! [SV83: $i > $o,SV22: $i,SV158: $i] :
( ( ( in @ SV158 @ SV22 )
= $false )
| ( ( ~ ( SV83 @ SV158 ) )
= $true )
| ( ( in @ ( sK7_SY208 @ SV83 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1067,plain,
! [SV83: $i > $o,SV22: $i,SV159: $i] :
( ( ( in @ SV159 @ SV22 )
= $false )
| ( ( ~ ( SV83 @ SV159 ) )
= $true )
| ( ( SV83 @ ( sK7_SY208 @ SV83 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1068,plain,
! [SV29: $i,SV85: $i > $o,SV144: $i] :
( ( ( ~ ( in @ ( sK45_SY211 @ SV144 @ SV85 @ SV29 ) @ SV29 )
| ( SV85 @ ( sK45_SY211 @ SV144 @ SV85 @ SV29 ) ) )
= $false )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( SV85 @ SV144 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1008]) ).
thf(1069,plain,
! [SV133: $i,SV173: $i,SV31: $i > $o] :
( ( ( ! [SY326: $i] :
( ~ ( SV31 @ SV173 )
| ~ ( SV31 @ SY326 )
| ( SV173 = SY326 ) ) )
= $true )
| ( ( SV31 @ SV133 )
= $false )
| ( ( SV31 @ ( sK36_SY285 @ SV133 @ SV31 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1010]) ).
thf(1070,plain,
! [SV133: $i,SV174: $i,SV169: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ SV169 )
| ~ ( SV31 @ SV174 )
| ( SV169 = SV174 ) )
= $true )
| ( ( SV31 @ SV133 )
= $false )
| ( ( SV133
= ( sK36_SY285 @ SV133 @ SV31 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1011]) ).
thf(1071,plain,
! [SV32: $i > $o,SV134: $i] :
( ( ( ( sK16_SY286 @ SV134 @ SV32 )
!= SV134 )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $true )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1012]) ).
thf(1074,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $false )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1075,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ! [SY101: $i] :
~ ~ ( ~ ( SV42 @ SY101 )
| ~ ! [SY102: $i] :
( ~ ( SV42 @ SY102 )
| ( SY101 = SY102 ) ) ) )
= $false )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV42 @ ( sK37_SY288 @ SV136 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1076,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ~ ( ~ ( SV42 @ ( sK46_SY101 @ SV136 @ SV42 ) )
| ~ ! [SY327: $i] :
( ~ ( SV42 @ SY327 )
| ( ( sK46_SY101 @ SV136 @ SV42 )
= SY327 ) ) ) )
= $false )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136 @ SV42 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1016]) ).
thf(1077,plain,
! [SV43: $i,SV93: $i > $o,SV147: $i] :
( ( ( in @ ( sK32_SY219 @ SV147 @ SV93 @ SV43 ) @ SV43 )
= $true )
| ( ( SV93 @ SV147 )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1017]) ).
thf(1078,plain,
! [SV43: $i,SV147: $i,SV93: $i > $o] :
( ( ( ~ ( SV93 @ ( sK32_SY219 @ SV147 @ SV93 @ SV43 ) ) )
= $true )
| ( ( SV93 @ SV147 )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1018]) ).
thf(1079,plain,
! [SV95: $i > $o,SV45: $i,SV165: $i] :
( ( ( in @ SV165 @ SV45 )
= $false )
| ( ( ~ ( SV95 @ SV165 ) )
= $true )
| ( ( in @ ( sK17_SY221 @ SV95 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1080,plain,
! [SV95: $i > $o,SV45: $i,SV166: $i] :
( ( ( in @ SV166 @ SV45 )
= $false )
| ( ( ~ ( SV95 @ SV166 ) )
= $true )
| ( ( SV95 @ ( sK17_SY221 @ SV95 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1081,plain,
! [SV46: $i,SV148: $o,SV96: $i,SV120: $i] :
( ( ( in @ SV120 @ SV96 )
= $true )
| ( SV148 = $true )
| ( ( SV120 = SV46 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1021]) ).
thf(1083,plain,
! [SV46: $i,SV96: $i,SV120: $i] :
( ( ( in @ SV120 @ SV96 )
= $true )
| ( $false = $true )
| ( ( SV120 = SV46 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1027]) ).
thf(1084,plain,
! [SV51: $i,SV175: $i] :
( ( ( ~ ( in @ SV175 @ omega )
| ( in @ SV175 @ SV51 ) )
= $true )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( in @ ( sK22_SY127 @ SV51 ) @ omega )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1032]) ).
thf(1085,plain,
! [SV51: $i,SV176: $i] :
( ( ( ~ ( in @ SV176 @ omega )
| ( in @ SV176 @ SV51 ) )
= $true )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( in @ ( sK22_SY127 @ SV51 ) @ SV51 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1033]) ).
thf(1086,plain,
! [SV52: $i,SV138: $i] :
( ( ( ! [SY297: $i] :
~ ~ ( ~ ( in @ SY297 @ ( sK23_SY130 @ SV138 @ SV52 ) )
| ~ ( in @ SY297 @ SV52 ) ) )
= $true )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1034]) ).
thf(1087,plain,
! [SV102: $i,SV55: $i > $i > $o,SV161: $i] :
( ( ( ~ ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
| ~ ! [SY311: $i] :
~ ~ ( ~ ( in @ SY311 @ SV102 )
| ~ ( SV55 @ SY311 @ SV161 ) ) )
= $true )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1088,plain,
! [SV161: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ~ ~ ! [SY312: $i] :
~ ~ ( ~ ( in @ SY312 @ SV102 )
| ~ ( SV55 @ SY312 @ SV161 ) )
| ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) ) )
= $true )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1089,plain,
! [SV153: $i,SV102: $i,SV55: $i > $i > $o] :
( ( ( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
| ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1037]) ).
thf(1090,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1038]) ).
thf(1091,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1039]) ).
thf(1092,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1095,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1096,plain,
! [SV139: $i,SV61: $i > $o] :
( ( ( ! [SY161: $i] :
~ ( SV61 @ SY161 ) )
= $false )
| ( ( SV61 @ SV139 )
= $false )
| ( ( SV61 @ ( sK38_SY293 @ SV139 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1097,plain,
! [SV139: $i,SV61: $i > $o] :
( ( ( ~ ( SV61 @ ( sK48_SY161 @ SV139 @ SV61 ) ) )
= $false )
| ( ( SV61 @ SV139 )
= $false )
| ( ( SV139
= ( sK38_SY293 @ SV139 @ SV61 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1044]) ).
thf(1098,plain,
! [SV170: $i] :
( ( ( ~ ( sK1_Xphi @ SV170 ) )
= $true )
| ( ( sK24_SX0 = SV170 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1046]) ).
thf(1099,plain,
( ( ~ ( sK2_SY0 @ sK40_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1100,plain,
( ( ~ ! [SY313: $i] :
( ~ ( sK2_SY0 @ SY313 )
| ( sK40_SX0 = SY313 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1101,plain,
! [SV64: $i,SV177: $i] :
( ( ~ ( in @ SV177 @ ( sK3_SY166 @ SV64 ) )
| ! [SY328: $i] :
( ~ ( in @ SY328 @ SV177 )
| ( in @ SY328 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1048]) ).
thf(1102,plain,
! [SV64: $i,SV178: $i] :
( ( ! [SY329: $i] :
( ~ ~ ( ~ ( in @ SV178 @ SV64 )
| ~ ( in @ SY329 @ SV64 ) )
| ~ ! [SY330: $i] :
( ~ ( in @ SY330 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SV178 @ SY330 )
| ( in @ SY329 @ SY330 ) )
| ~ ( ~ ( in @ SY329 @ SY330 )
| ( in @ SV178 @ SY330 ) ) ) )
| ( SV178 = SY329 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1049]) ).
thf(1103,plain,
! [SV167: $i,SV64: $i,SV162: $i] :
( ( ( ~ ( ~ ( in @ SV162 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SV167 @ ( sK3_SY166 @ SV64 ) ) ) )
= $false )
| ( ( ! [SY317: $i] :
( ~ ( in @ SY317 @ SV162 )
| ( in @ SY317 @ SV167 ) )
| ! [SY318: $i] :
( ~ ( in @ SY318 @ SV167 )
| ( in @ SY318 @ SV162 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1104,plain,
! [SV156: $i,SV64: $i] :
( ( ( ~ ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
| ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 ) )
= $false )
| ( ( ~ ~ ! [SY301: $i] :
~ ( in @ SY301 @ SV156 ) )
= $true )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1051]) ).
thf(1105,plain,
! [SV127: $i,SV179: $i,SV171: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV171 )
| ~ ( SV1 @ SV179 )
| ( SV171 = SV179 ) )
= $true )
| ( ( SV1 @ SV127 )
= $false )
| ( ( SV1 @ ( sK33_SY280 @ SV127 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1052]) ).
thf(1106,plain,
! [SV127: $i,SV172: $i,SV168: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV168 ) )
= $true )
| ( ( ~ ( SV1 @ SV172 )
| ( SV168 = SV172 ) )
= $true )
| ( ( SV1 @ SV127 )
= $false )
| ( ( SV127
= ( sK33_SY280 @ SV127 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1053]) ).
thf(1107,plain,
! [SV7: $i,SV143: $i,SV73: $i > $o] :
( ( ( SV73 @ ( sK29_SY195 @ SV143 @ SV73 @ SV7 ) )
= $false )
| ( ( SV73 @ SV143 )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1108,plain,
! [SV8: $i,SV163: $i,SV74: $i > $o] :
( ( ( SV74 @ SV163 )
= $false )
| ( ( in @ SV163 @ SV8 )
= $false )
| ( ( in @ ( sK15_SY196 @ SV74 @ SV8 ) @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1109,plain,
! [SV8: $i,SV164: $i,SV74: $i > $o] :
( ( ( SV74 @ SV164 )
= $false )
| ( ( in @ SV164 @ SV8 )
= $false )
| ( ( SV74 @ ( sK15_SY196 @ SV74 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1110,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ~ ( ~ ( SV9 @ ( sK50_SY36 @ SV129 @ SV9 ) )
| ~ ! [SY331: $i] :
( ~ ( SV9 @ SY331 )
| ( ( sK50_SY36 @ SV129 @ SV9 )
= SY331 ) ) ) )
= $false )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV9 @ ( sK34_SY282 @ SV129 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1058]) ).
thf(1111,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ( ~ ( SV9 @ ( sK41_SY36 @ SV129 @ SV9 ) )
| ~ ! [SY322: $i] :
( ~ ( SV9 @ SY322 )
| ( ( sK41_SY36 @ SV129 @ SV9 )
= SY322 ) ) ) )
= $true )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1059]) ).
thf(1112,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( ~ ! [SY332: $i] :
~ ( ~ ( ~ ( SV18 @ SY332 )
| ( SY332
= ( sK51_SY57 @ SV131 @ SV18 ) ) )
| ~ ( ( SY332
!= ( sK51_SY57 @ SV131 @ SV18 ) )
| ( SV18 @ SY332 ) ) ) )
= $false )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1061]) ).
thf(1113,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( ! [SY323: $i] :
~ ( ~ ( ~ ( SV18 @ SY323 )
| ( SY323
= ( sK42_SY57 @ SV131 @ SV18 ) ) )
| ~ ( ( SY323
!= ( sK42_SY57 @ SV131 @ SV18 ) )
| ( SV18 @ SY323 ) ) ) )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131 @ SV18 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1062]) ).
thf(1114,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ( ~ ( SV20 @ ( sK43_SY62 @ SV132 @ SV20 ) )
| ~ ! [SY324: $i] :
( ~ ( SV20 @ SY324 )
| ( ( sK43_SY62 @ SV132 @ SV20 )
= SY324 ) ) ) )
= $true )
| ( ( SV20 @ ( sK26_SY60 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1063]) ).
thf(1115,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ~ ( ~ ( SV20 @ ( sK52_SY62 @ SV132 @ SV20 ) )
| ~ ! [SY333: $i] :
( ~ ( SV20 @ SY333 )
| ( ( sK52_SY62 @ SV132 @ SV20 )
= SY333 ) ) ) )
= $false )
| ( ( SV20 @ ( sK30_SY307 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1064]) ).
thf(1116,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ( ~ ( SV20 @ ( sK44_SY62 @ SV132 @ SV20 ) )
| ~ ! [SY325: $i] :
( ~ ( SV20 @ SY325 )
| ( ( sK44_SY62 @ SV132 @ SV20 )
= SY325 ) ) ) )
= $true )
| ( ( ( sK26_SY60 @ SV132 @ SV20 )
= ( sK30_SY307 @ SV132 @ SV20 ) )
= $false )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1117,plain,
! [SV22: $i,SV158: $i,SV83: $i > $o] :
( ( ( SV83 @ SV158 )
= $false )
| ( ( in @ SV158 @ SV22 )
= $false )
| ( ( in @ ( sK7_SY208 @ SV83 @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1118,plain,
! [SV22: $i,SV159: $i,SV83: $i > $o] :
( ( ( SV83 @ SV159 )
= $false )
| ( ( in @ SV159 @ SV22 )
= $false )
| ( ( SV83 @ ( sK7_SY208 @ SV83 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1119,plain,
! [SV29: $i,SV85: $i > $o,SV144: $i] :
( ( ( ~ ( in @ ( sK45_SY211 @ SV144 @ SV85 @ SV29 ) @ SV29 ) )
= $false )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( SV85 @ SV144 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1068]) ).
thf(1120,plain,
! [SV29: $i,SV144: $i,SV85: $i > $o] :
( ( ( SV85 @ ( sK45_SY211 @ SV144 @ SV85 @ SV29 ) )
= $false )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( SV85 @ SV144 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1068]) ).
thf(1121,plain,
! [SV133: $i,SV180: $i,SV173: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ SV173 )
| ~ ( SV31 @ SV180 )
| ( SV173 = SV180 ) )
= $true )
| ( ( SV31 @ SV133 )
= $false )
| ( ( SV31 @ ( sK36_SY285 @ SV133 @ SV31 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1069]) ).
thf(1122,plain,
! [SV133: $i,SV174: $i,SV169: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ SV169 ) )
= $true )
| ( ( ~ ( SV31 @ SV174 )
| ( SV169 = SV174 ) )
= $true )
| ( ( SV31 @ SV133 )
= $false )
| ( ( SV133
= ( sK36_SY285 @ SV133 @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1070]) ).
thf(1123,plain,
! [SV32: $i > $o,SV134: $i] :
( ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $true )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $true )
| ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1126,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ~ ( ~ ( SV32 @ ( sK53_SY85 @ SV134 @ SV32 ) )
| ~ ! [SY334: $i] :
( ~ ( SV32 @ SY334 )
| ( ( sK53_SY85 @ SV134 @ SV32 )
= SY334 ) ) ) )
= $false )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1074]) ).
thf(1127,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ~ ( ~ ( SV42 @ ( sK54_SY101 @ SV136 @ SV42 ) )
| ~ ! [SY335: $i] :
( ~ ( SV42 @ SY335 )
| ( ( sK54_SY101 @ SV136 @ SV42 )
= SY335 ) ) ) )
= $false )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV42 @ ( sK37_SY288 @ SV136 @ SV42 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1075]) ).
thf(1128,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ( ~ ( SV42 @ ( sK46_SY101 @ SV136 @ SV42 ) )
| ~ ! [SY327: $i] :
( ~ ( SV42 @ SY327 )
| ( ( sK46_SY101 @ SV136 @ SV42 )
= SY327 ) ) ) )
= $true )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136 @ SV42 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1076]) ).
thf(1129,plain,
! [SV43: $i,SV147: $i,SV93: $i > $o] :
( ( ( SV93 @ ( sK32_SY219 @ SV147 @ SV93 @ SV43 ) )
= $false )
| ( ( SV93 @ SV147 )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1078]) ).
thf(1130,plain,
! [SV45: $i,SV165: $i,SV95: $i > $o] :
( ( ( SV95 @ SV165 )
= $false )
| ( ( in @ SV165 @ SV45 )
= $false )
| ( ( in @ ( sK17_SY221 @ SV95 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1079]) ).
thf(1131,plain,
! [SV45: $i,SV166: $i,SV95: $i > $o] :
( ( ( SV95 @ SV166 )
= $false )
| ( ( in @ SV166 @ SV45 )
= $false )
| ( ( SV95 @ ( sK17_SY221 @ SV95 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1132,plain,
! [SV51: $i,SV175: $i] :
( ( ( ~ ( in @ SV175 @ omega ) )
= $true )
| ( ( in @ SV175 @ SV51 )
= $true )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( in @ ( sK22_SY127 @ SV51 ) @ omega )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1084]) ).
thf(1133,plain,
! [SV51: $i,SV176: $i] :
( ( ( ~ ( in @ SV176 @ omega ) )
= $true )
| ( ( in @ SV176 @ SV51 )
= $true )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( in @ ( sK22_SY127 @ SV51 ) @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1085]) ).
thf(1134,plain,
! [SV52: $i,SV138: $i,SV181: $i] :
( ( ( ~ ~ ( ~ ( in @ SV181 @ ( sK23_SY130 @ SV138 @ SV52 ) )
| ~ ( in @ SV181 @ SV52 ) ) )
= $true )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1086]) ).
thf(1135,plain,
! [SV102: $i,SV55: $i > $i > $o,SV161: $i] :
( ( ( ~ ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) ) )
= $true )
| ( ( ~ ! [SY311: $i] :
~ ~ ( ~ ( in @ SY311 @ SV102 )
| ~ ( SV55 @ SY311 @ SV161 ) ) )
= $true )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1087]) ).
thf(1136,plain,
! [SV161: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ~ ~ ! [SY312: $i] :
~ ~ ( ~ ( in @ SY312 @ SV102 )
| ~ ( SV55 @ SY312 @ SV161 ) ) )
= $true )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $true )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1137,plain,
! [SV153: $i,SV102: $i,SV55: $i > $i > $o] :
( ( ( ~ ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1138,plain,
! [SV55: $i > $i > $o,SV102: $i,SV153: $i] :
( ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1139,plain,
! [SV109: $i > $o,SV182: $i,SV60: $i > $o] :
( ( ( ~ ~ ( ~ ( SV60 @ SV182 )
| ~ ! [SY336: $i] :
( ~ ( SV60 @ SY336 )
| ( SV182 = SY336 ) ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1090]) ).
thf(1140,plain,
! [SV60: $i > $o,SV183: $i,SV109: $i > $o] :
( ( ( ~ ~ ( ~ ( SV109 @ SV183 )
| ~ ! [SY337: $i] :
( ~ ( SV109 @ SY337 )
| ( SV183 = SY337 ) ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1091]) ).
thf(1141,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1092]) ).
thf(1144,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1145,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1146,plain,
! [SV139: $i,SV61: $i > $o] :
( ( ( ~ ( SV61 @ ( sK55_SY161 @ SV139 @ SV61 ) ) )
= $false )
| ( ( SV61 @ SV139 )
= $false )
| ( ( SV61 @ ( sK38_SY293 @ SV139 @ SV61 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1096]) ).
thf(1147,plain,
! [SV139: $i,SV61: $i > $o] :
( ( ( SV61 @ ( sK48_SY161 @ SV139 @ SV61 ) )
= $true )
| ( ( SV61 @ SV139 )
= $false )
| ( ( SV139
= ( sK38_SY293 @ SV139 @ SV61 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1097]) ).
thf(1148,plain,
! [SV170: $i] :
( ( ( sK1_Xphi @ SV170 )
= $false )
| ( ( sK24_SX0 = SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1149,plain,
( ( sK2_SY0 @ sK40_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1099]) ).
thf(1150,plain,
( ( ! [SY313: $i] :
( ~ ( sK2_SY0 @ SY313 )
| ( sK40_SX0 = SY313 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1100]) ).
thf(1151,plain,
! [SV64: $i,SV177: $i] :
( ( ( ~ ( in @ SV177 @ ( sK3_SY166 @ SV64 ) ) )
= $true )
| ( ( ! [SY328: $i] :
( ~ ( in @ SY328 @ SV177 )
| ( in @ SY328 @ SV64 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1101]) ).
thf(1152,plain,
! [SV184: $i,SV64: $i,SV178: $i] :
( ( ~ ~ ( ~ ( in @ SV178 @ SV64 )
| ~ ( in @ SV184 @ SV64 ) )
| ~ ! [SY338: $i] :
( ~ ( in @ SY338 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SV178 @ SY338 )
| ( in @ SV184 @ SY338 ) )
| ~ ( ~ ( in @ SV184 @ SY338 )
| ( in @ SV178 @ SY338 ) ) ) )
| ( SV178 = SV184 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1102]) ).
thf(1153,plain,
! [SV167: $i,SV64: $i,SV162: $i] :
( ( ( ~ ( in @ SV162 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SV167 @ ( sK3_SY166 @ SV64 ) ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( in @ SY317 @ SV162 )
| ( in @ SY317 @ SV167 ) )
| ! [SY318: $i] :
( ~ ( in @ SY318 @ SV167 )
| ( in @ SY318 @ SV162 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1103]) ).
thf(1154,plain,
! [SV156: $i,SV64: $i] :
( ( ( ~ ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 ) )
= $false )
| ( ( ~ ~ ! [SY301: $i] :
~ ( in @ SY301 @ SV156 ) )
= $true )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1155,plain,
! [SV156: $i,SV64: $i] :
( ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( ~ ~ ! [SY301: $i] :
~ ( in @ SY301 @ SV156 ) )
= $true )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1156,plain,
! [SV127: $i,SV179: $i,SV171: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV171 ) )
= $true )
| ( ( ~ ( SV1 @ SV179 )
| ( SV171 = SV179 ) )
= $true )
| ( ( SV1 @ SV127 )
= $false )
| ( ( SV1 @ ( sK33_SY280 @ SV127 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1105]) ).
thf(1157,plain,
! [SV127: $i,SV172: $i,SV168: $i,SV1: $i > $o] :
( ( ( SV1 @ SV168 )
= $false )
| ( ( ~ ( SV1 @ SV172 )
| ( SV168 = SV172 ) )
= $true )
| ( ( SV1 @ SV127 )
= $false )
| ( ( SV127
= ( sK33_SY280 @ SV127 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1158,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ( ~ ( SV9 @ ( sK50_SY36 @ SV129 @ SV9 ) )
| ~ ! [SY331: $i] :
( ~ ( SV9 @ SY331 )
| ( ( sK50_SY36 @ SV129 @ SV9 )
= SY331 ) ) ) )
= $true )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV9 @ ( sK34_SY282 @ SV129 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1110]) ).
thf(1159,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ( SV9 @ ( sK41_SY36 @ SV129 @ SV9 ) )
| ~ ! [SY322: $i] :
( ~ ( SV9 @ SY322 )
| ( ( sK41_SY36 @ SV129 @ SV9 )
= SY322 ) ) )
= $false )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1111]) ).
thf(1160,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( ! [SY332: $i] :
~ ( ~ ( ~ ( SV18 @ SY332 )
| ( SY332
= ( sK51_SY57 @ SV131 @ SV18 ) ) )
| ~ ( ( SY332
!= ( sK51_SY57 @ SV131 @ SV18 ) )
| ( SV18 @ SY332 ) ) ) )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1112]) ).
thf(1161,plain,
! [SV131: $i,SV185: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV18 @ SV185 )
| ( SV185
= ( sK42_SY57 @ SV131 @ SV18 ) ) )
| ~ ( ( SV185
!= ( sK42_SY57 @ SV131 @ SV18 ) )
| ( SV18 @ SV185 ) ) ) )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1113]) ).
thf(1162,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ ( sK43_SY62 @ SV132 @ SV20 ) )
| ~ ! [SY324: $i] :
( ~ ( SV20 @ SY324 )
| ( ( sK43_SY62 @ SV132 @ SV20 )
= SY324 ) ) )
= $false )
| ( ( SV20 @ ( sK26_SY60 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1114]) ).
thf(1163,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ( ~ ( SV20 @ ( sK52_SY62 @ SV132 @ SV20 ) )
| ~ ! [SY333: $i] :
( ~ ( SV20 @ SY333 )
| ( ( sK52_SY62 @ SV132 @ SV20 )
= SY333 ) ) ) )
= $true )
| ( ( SV20 @ ( sK30_SY307 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1115]) ).
thf(1164,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ ( sK44_SY62 @ SV132 @ SV20 ) )
| ~ ! [SY325: $i] :
( ~ ( SV20 @ SY325 )
| ( ( sK44_SY62 @ SV132 @ SV20 )
= SY325 ) ) )
= $false )
| ( ( ( sK26_SY60 @ SV132 @ SV20 )
= ( sK30_SY307 @ SV132 @ SV20 ) )
= $false )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1165,plain,
! [SV29: $i,SV85: $i > $o,SV144: $i] :
( ( ( in @ ( sK45_SY211 @ SV144 @ SV85 @ SV29 ) @ SV29 )
= $true )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( SV85 @ SV144 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1119]) ).
thf(1166,plain,
! [SV133: $i,SV180: $i,SV173: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ SV173 ) )
= $true )
| ( ( ~ ( SV31 @ SV180 )
| ( SV173 = SV180 ) )
= $true )
| ( ( SV31 @ SV133 )
= $false )
| ( ( SV31 @ ( sK36_SY285 @ SV133 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1121]) ).
thf(1167,plain,
! [SV133: $i,SV174: $i,SV169: $i,SV31: $i > $o] :
( ( ( SV31 @ SV169 )
= $false )
| ( ( ~ ( SV31 @ SV174 )
| ( SV169 = SV174 ) )
= $true )
| ( ( SV31 @ SV133 )
= $false )
| ( ( SV133
= ( sK36_SY285 @ SV133 @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1168,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ! [SY85: $i] :
~ ~ ( ~ ( SV32 @ SY85 )
| ~ ! [SY86: $i] :
( ~ ( SV32 @ SY86 )
| ( SY85 = SY86 ) ) ) )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1123]) ).
thf(1171,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ( ~ ( SV32 @ ( sK53_SY85 @ SV134 @ SV32 ) )
| ~ ! [SY334: $i] :
( ~ ( SV32 @ SY334 )
| ( ( sK53_SY85 @ SV134 @ SV32 )
= SY334 ) ) ) )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1126]) ).
thf(1172,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ( ~ ( SV42 @ ( sK54_SY101 @ SV136 @ SV42 ) )
| ~ ! [SY335: $i] :
( ~ ( SV42 @ SY335 )
| ( ( sK54_SY101 @ SV136 @ SV42 )
= SY335 ) ) ) )
= $true )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV42 @ ( sK37_SY288 @ SV136 @ SV42 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1127]) ).
thf(1173,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ( SV42 @ ( sK46_SY101 @ SV136 @ SV42 ) )
| ~ ! [SY327: $i] :
( ~ ( SV42 @ SY327 )
| ( ( sK46_SY101 @ SV136 @ SV42 )
= SY327 ) ) )
= $false )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136 @ SV42 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1174,plain,
! [SV51: $i,SV175: $i] :
( ( ( in @ SV175 @ omega )
= $false )
| ( ( in @ SV175 @ SV51 )
= $true )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( in @ ( sK22_SY127 @ SV51 ) @ omega )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1175,plain,
! [SV51: $i,SV176: $i] :
( ( ( in @ SV176 @ omega )
= $false )
| ( ( in @ SV176 @ SV51 )
= $true )
| ( ( in @ emptyset @ SV51 )
= $false )
| ( ( in @ ( sK22_SY127 @ SV51 ) @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1176,plain,
! [SV52: $i,SV138: $i,SV181: $i] :
( ( ( ~ ( ~ ( in @ SV181 @ ( sK23_SY130 @ SV138 @ SV52 ) )
| ~ ( in @ SV181 @ SV52 ) ) )
= $false )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1177,plain,
! [SV102: $i,SV55: $i > $i > $o,SV161: $i] :
( ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $false )
| ( ( ~ ! [SY311: $i] :
~ ~ ( ~ ( in @ SY311 @ SV102 )
| ~ ( SV55 @ SY311 @ SV161 ) ) )
= $true )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1178,plain,
! [SV161: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ~ ! [SY312: $i] :
~ ~ ( ~ ( in @ SY312 @ SV102 )
| ~ ( SV55 @ SY312 @ SV161 ) ) )
= $false )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $true )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1136]) ).
thf(1179,plain,
! [SV153: $i,SV102: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( ~ ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1137]) ).
thf(1180,plain,
! [SV153: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1138]) ).
thf(1181,plain,
! [SV109: $i > $o,SV182: $i,SV60: $i > $o] :
( ( ( ~ ( ~ ( SV60 @ SV182 )
| ~ ! [SY336: $i] :
( ~ ( SV60 @ SY336 )
| ( SV182 = SY336 ) ) ) )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1139]) ).
thf(1182,plain,
! [SV60: $i > $o,SV183: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ SV183 )
| ~ ! [SY337: $i] :
( ~ ( SV109 @ SY337 )
| ( SV183 = SY337 ) ) ) )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1183,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
| ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1188,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1144]) ).
thf(1189,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1190,plain,
! [SV139: $i,SV61: $i > $o] :
( ( ( SV61 @ ( sK55_SY161 @ SV139 @ SV61 ) )
= $true )
| ( ( SV61 @ SV139 )
= $false )
| ( ( SV61 @ ( sK38_SY293 @ SV139 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1146]) ).
thf(1191,plain,
! [SV186: $i] :
( ( ~ ( sK2_SY0 @ SV186 )
| ( sK40_SX0 = SV186 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1150]) ).
thf(1192,plain,
! [SV64: $i,SV177: $i] :
( ( ( in @ SV177 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( ! [SY328: $i] :
( ~ ( in @ SY328 @ SV177 )
| ( in @ SY328 @ SV64 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1193,plain,
! [SV184: $i,SV64: $i,SV178: $i] :
( ( ( ~ ~ ( ~ ( in @ SV178 @ SV64 )
| ~ ( in @ SV184 @ SV64 ) ) )
= $true )
| ( ( ~ ! [SY338: $i] :
( ~ ( in @ SY338 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SV178 @ SY338 )
| ( in @ SV184 @ SY338 ) )
| ~ ( ~ ( in @ SV184 @ SY338 )
| ( in @ SV178 @ SY338 ) ) ) )
| ( SV178 = SV184 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1152]) ).
thf(1194,plain,
! [SV167: $i,SV64: $i,SV162: $i] :
( ( ( ~ ( in @ SV162 @ ( sK3_SY166 @ SV64 ) ) )
= $true )
| ( ( ~ ( in @ SV167 @ ( sK3_SY166 @ SV64 ) ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( in @ SY317 @ SV162 )
| ( in @ SY317 @ SV167 ) )
| ! [SY318: $i] :
( ~ ( in @ SY318 @ SV167 )
| ( in @ SY318 @ SV162 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1153]) ).
thf(1195,plain,
! [SV156: $i,SV64: $i] :
( ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( ~ ~ ! [SY301: $i] :
~ ( in @ SY301 @ SV156 ) )
= $true )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1154]) ).
thf(1196,plain,
! [SV64: $i,SV156: $i] :
( ( ( ~ ! [SY301: $i] :
~ ( in @ SY301 @ SV156 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1155]) ).
thf(1197,plain,
! [SV127: $i,SV179: $i,SV171: $i,SV1: $i > $o] :
( ( ( SV1 @ SV171 )
= $false )
| ( ( ~ ( SV1 @ SV179 )
| ( SV171 = SV179 ) )
= $true )
| ( ( SV1 @ SV127 )
= $false )
| ( ( SV1 @ ( sK33_SY280 @ SV127 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1156]) ).
thf(1198,plain,
! [SV127: $i,SV168: $i,SV172: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV172 ) )
= $true )
| ( ( SV168 = SV172 )
= $true )
| ( ( SV1 @ SV168 )
= $false )
| ( ( SV1 @ SV127 )
= $false )
| ( ( SV127
= ( sK33_SY280 @ SV127 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1157]) ).
thf(1199,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ( SV9 @ ( sK50_SY36 @ SV129 @ SV9 ) )
| ~ ! [SY331: $i] :
( ~ ( SV9 @ SY331 )
| ( ( sK50_SY36 @ SV129 @ SV9 )
= SY331 ) ) )
= $false )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV9 @ ( sK34_SY282 @ SV129 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1158]) ).
thf(1200,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ( SV9 @ ( sK41_SY36 @ SV129 @ SV9 ) ) )
= $false )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129 @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1201,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ! [SY322: $i] :
( ~ ( SV9 @ SY322 )
| ( ( sK41_SY36 @ SV129 @ SV9 )
= SY322 ) ) )
= $false )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129 @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1202,plain,
! [SV131: $i,SV187: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV18 @ SV187 )
| ( SV187
= ( sK51_SY57 @ SV131 @ SV18 ) ) )
| ~ ( ( SV187
!= ( sK51_SY57 @ SV131 @ SV18 ) )
| ( SV18 @ SV187 ) ) ) )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1160]) ).
thf(1203,plain,
! [SV131: $i,SV185: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ( SV18 @ SV185 )
| ( SV185
= ( sK42_SY57 @ SV131 @ SV18 ) ) )
| ~ ( ( SV185
!= ( sK42_SY57 @ SV131 @ SV18 ) )
| ( SV18 @ SV185 ) ) )
= $false )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1204,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ ( sK43_SY62 @ SV132 @ SV20 ) ) )
= $false )
| ( ( SV20 @ ( sK26_SY60 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1162]) ).
thf(1205,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ! [SY324: $i] :
( ~ ( SV20 @ SY324 )
| ( ( sK43_SY62 @ SV132 @ SV20 )
= SY324 ) ) )
= $false )
| ( ( SV20 @ ( sK26_SY60 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1162]) ).
thf(1206,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ ( sK52_SY62 @ SV132 @ SV20 ) )
| ~ ! [SY333: $i] :
( ~ ( SV20 @ SY333 )
| ( ( sK52_SY62 @ SV132 @ SV20 )
= SY333 ) ) )
= $false )
| ( ( SV20 @ ( sK30_SY307 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1207,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ ( sK44_SY62 @ SV132 @ SV20 ) ) )
= $false )
| ( ( ( sK26_SY60 @ SV132 @ SV20 )
= ( sK30_SY307 @ SV132 @ SV20 ) )
= $false )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1164]) ).
thf(1208,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ! [SY325: $i] :
( ~ ( SV20 @ SY325 )
| ( ( sK44_SY62 @ SV132 @ SV20 )
= SY325 ) ) )
= $false )
| ( ( ( sK26_SY60 @ SV132 @ SV20 )
= ( sK30_SY307 @ SV132 @ SV20 ) )
= $false )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1164]) ).
thf(1209,plain,
! [SV133: $i,SV180: $i,SV173: $i,SV31: $i > $o] :
( ( ( SV31 @ SV173 )
= $false )
| ( ( ~ ( SV31 @ SV180 )
| ( SV173 = SV180 ) )
= $true )
| ( ( SV31 @ SV133 )
= $false )
| ( ( SV31 @ ( sK36_SY285 @ SV133 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1210,plain,
! [SV133: $i,SV169: $i,SV174: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ SV174 ) )
= $true )
| ( ( SV169 = SV174 )
= $true )
| ( ( SV31 @ SV169 )
= $false )
| ( ( SV31 @ SV133 )
= $false )
| ( ( SV133
= ( sK36_SY285 @ SV133 @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1167]) ).
thf(1211,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ~ ( ~ ( SV32 @ ( sK58_SY85 @ SV134 @ SV32 ) )
| ~ ! [SY341: $i] :
( ~ ( SV32 @ SY341 )
| ( ( sK58_SY85 @ SV134 @ SV32 )
= SY341 ) ) ) )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1168]) ).
thf(1214,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ( SV32 @ ( sK53_SY85 @ SV134 @ SV32 ) )
| ~ ! [SY334: $i] :
( ~ ( SV32 @ SY334 )
| ( ( sK53_SY85 @ SV134 @ SV32 )
= SY334 ) ) )
= $false )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1215,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ( SV42 @ ( sK54_SY101 @ SV136 @ SV42 ) )
| ~ ! [SY335: $i] :
( ~ ( SV42 @ SY335 )
| ( ( sK54_SY101 @ SV136 @ SV42 )
= SY335 ) ) )
= $false )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV42 @ ( sK37_SY288 @ SV136 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1216,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ( SV42 @ ( sK46_SY101 @ SV136 @ SV42 ) ) )
= $false )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136 @ SV42 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1173]) ).
thf(1217,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ! [SY327: $i] :
( ~ ( SV42 @ SY327 )
| ( ( sK46_SY101 @ SV136 @ SV42 )
= SY327 ) ) )
= $false )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136 @ SV42 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1173]) ).
thf(1218,plain,
! [SV52: $i,SV138: $i,SV181: $i] :
( ( ( ~ ( in @ SV181 @ ( sK23_SY130 @ SV138 @ SV52 ) )
| ~ ( in @ SV181 @ SV52 ) )
= $true )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1176]) ).
thf(1219,plain,
! [SV161: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ! [SY311: $i] :
~ ~ ( ~ ( in @ SY311 @ SV102 )
| ~ ( SV55 @ SY311 @ SV161 ) ) )
= $false )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $false )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1177]) ).
thf(1220,plain,
! [SV161: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ! [SY312: $i] :
~ ~ ( ~ ( in @ SY312 @ SV102 )
| ~ ( SV55 @ SY312 @ SV161 ) ) )
= $true )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $true )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1178]) ).
thf(1221,plain,
! [SV153: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ! [SY238: $i] :
~ ! [SY239: $i] :
~ ( ~ ( ~ ( in @ SY239 @ SY238 )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY239 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY239 ) )
| ( in @ SY239 @ SY238 ) ) ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1222,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i] :
( ( ( ~ ! [SY342: $i] :
~ ( ~ ( ~ ( in @ SY342 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY342 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY342 ) )
| ( in @ SY342 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) ) ) ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1180]) ).
thf(1223,plain,
! [SV109: $i > $o,SV182: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV182 )
| ~ ! [SY336: $i] :
( ~ ( SV60 @ SY336 )
| ( SV182 = SY336 ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1181]) ).
thf(1224,plain,
! [SV60: $i > $o,SV183: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV183 )
| ~ ! [SY337: $i] :
( ~ ( SV109 @ SY337 )
| ( SV183 = SY337 ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1182]) ).
thf(1225,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1226,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1231,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1188]) ).
thf(1232,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1189]) ).
thf(1233,plain,
! [SV186: $i] :
( ( ( ~ ( sK2_SY0 @ SV186 ) )
= $true )
| ( ( sK40_SX0 = SV186 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1191]) ).
thf(1234,plain,
! [SV64: $i,SV177: $i,SV188: $i] :
( ( ( ~ ( in @ SV188 @ SV177 )
| ( in @ SV188 @ SV64 ) )
= $true )
| ( ( in @ SV177 @ ( sK3_SY166 @ SV64 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1192]) ).
thf(1235,plain,
! [SV184: $i,SV64: $i,SV178: $i] :
( ( ( ~ ( ~ ( in @ SV178 @ SV64 )
| ~ ( in @ SV184 @ SV64 ) ) )
= $false )
| ( ( ~ ! [SY338: $i] :
( ~ ( in @ SY338 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SV178 @ SY338 )
| ( in @ SV184 @ SY338 ) )
| ~ ( ~ ( in @ SV184 @ SY338 )
| ( in @ SV178 @ SY338 ) ) ) )
| ( SV178 = SV184 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1236,plain,
! [SV167: $i,SV64: $i,SV162: $i] :
( ( ( in @ SV162 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( ~ ( in @ SV167 @ ( sK3_SY166 @ SV64 ) ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( in @ SY317 @ SV162 )
| ( in @ SY317 @ SV167 ) )
| ! [SY318: $i] :
( ~ ( in @ SY318 @ SV167 )
| ( in @ SY318 @ SV162 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1237,plain,
! [SV64: $i,SV156: $i] :
( ( ( ~ ! [SY301: $i] :
~ ( in @ SY301 @ SV156 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1238,plain,
! [SV64: $i,SV156: $i] :
( ( ( ! [SY301: $i] :
~ ( in @ SY301 @ SV156 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1196]) ).
thf(1239,plain,
! [SV127: $i,SV171: $i,SV179: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV179 ) )
= $true )
| ( ( SV171 = SV179 )
= $true )
| ( ( SV1 @ SV171 )
= $false )
| ( ( SV1 @ SV127 )
= $false )
| ( ( SV1 @ ( sK33_SY280 @ SV127 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1197]) ).
thf(1240,plain,
! [SV127: $i,SV168: $i,SV172: $i,SV1: $i > $o] :
( ( ( SV1 @ SV172 )
= $false )
| ( ( SV168 = SV172 )
= $true )
| ( ( SV1 @ SV168 )
= $false )
| ( ( SV1 @ SV127 )
= $false )
| ( ( SV127
= ( sK33_SY280 @ SV127 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1198]) ).
thf(1241,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ( SV9 @ ( sK50_SY36 @ SV129 @ SV9 ) ) )
= $false )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV9 @ ( sK34_SY282 @ SV129 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1199]) ).
thf(1242,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ~ ! [SY331: $i] :
( ~ ( SV9 @ SY331 )
| ( ( sK50_SY36 @ SV129 @ SV9 )
= SY331 ) ) )
= $false )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV9 @ ( sK34_SY282 @ SV129 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1199]) ).
thf(1243,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( SV9 @ ( sK41_SY36 @ SV129 @ SV9 ) )
= $true )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1200]) ).
thf(1244,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ! [SY322: $i] :
( ~ ( SV9 @ SY322 )
| ( ( sK41_SY36 @ SV129 @ SV9 )
= SY322 ) ) )
= $true )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1201]) ).
thf(1245,plain,
! [SV131: $i,SV187: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ( SV18 @ SV187 )
| ( SV187
= ( sK51_SY57 @ SV131 @ SV18 ) ) )
| ~ ( ( SV187
!= ( sK51_SY57 @ SV131 @ SV18 ) )
| ( SV18 @ SV187 ) ) )
= $false )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1202]) ).
thf(1246,plain,
! [SV131: $i,SV185: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ( SV18 @ SV185 )
| ( SV185
= ( sK42_SY57 @ SV131 @ SV18 ) ) ) )
= $false )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131 @ SV18 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1203]) ).
thf(1247,plain,
! [SV18: $i > $o,SV131: $i,SV185: $i] :
( ( ( ~ ( ( SV185
!= ( sK42_SY57 @ SV131 @ SV18 ) )
| ( SV18 @ SV185 ) ) )
= $false )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131 @ SV18 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1203]) ).
thf(1248,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( SV20 @ ( sK43_SY62 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ ( sK26_SY60 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1204]) ).
thf(1249,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ! [SY324: $i] :
( ~ ( SV20 @ SY324 )
| ( ( sK43_SY62 @ SV132 @ SV20 )
= SY324 ) ) )
= $true )
| ( ( SV20 @ ( sK26_SY60 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1205]) ).
thf(1250,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ ( sK52_SY62 @ SV132 @ SV20 ) ) )
= $false )
| ( ( SV20 @ ( sK30_SY307 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1206]) ).
thf(1251,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ~ ! [SY333: $i] :
( ~ ( SV20 @ SY333 )
| ( ( sK52_SY62 @ SV132 @ SV20 )
= SY333 ) ) )
= $false )
| ( ( SV20 @ ( sK30_SY307 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1206]) ).
thf(1252,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( SV20 @ ( sK44_SY62 @ SV132 @ SV20 ) )
= $true )
| ( ( ( sK26_SY60 @ SV132 @ SV20 )
= ( sK30_SY307 @ SV132 @ SV20 ) )
= $false )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1207]) ).
thf(1253,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ! [SY325: $i] :
( ~ ( SV20 @ SY325 )
| ( ( sK44_SY62 @ SV132 @ SV20 )
= SY325 ) ) )
= $true )
| ( ( ( sK26_SY60 @ SV132 @ SV20 )
= ( sK30_SY307 @ SV132 @ SV20 ) )
= $false )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1208]) ).
thf(1254,plain,
! [SV133: $i,SV173: $i,SV180: $i,SV31: $i > $o] :
( ( ( ~ ( SV31 @ SV180 ) )
= $true )
| ( ( SV173 = SV180 )
= $true )
| ( ( SV31 @ SV173 )
= $false )
| ( ( SV31 @ SV133 )
= $false )
| ( ( SV31 @ ( sK36_SY285 @ SV133 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1209]) ).
thf(1255,plain,
! [SV133: $i,SV169: $i,SV174: $i,SV31: $i > $o] :
( ( ( SV31 @ SV174 )
= $false )
| ( ( SV169 = SV174 )
= $true )
| ( ( SV31 @ SV169 )
= $false )
| ( ( SV31 @ SV133 )
= $false )
| ( ( SV133
= ( sK36_SY285 @ SV133 @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1256,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ( ~ ( SV32 @ ( sK58_SY85 @ SV134 @ SV32 ) )
| ~ ! [SY341: $i] :
( ~ ( SV32 @ SY341 )
| ( ( sK58_SY85 @ SV134 @ SV32 )
= SY341 ) ) ) )
= $true )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1259,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ( SV32 @ ( sK53_SY85 @ SV134 @ SV32 ) ) )
= $false )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1214]) ).
thf(1260,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ! [SY334: $i] :
( ~ ( SV32 @ SY334 )
| ( ( sK53_SY85 @ SV134 @ SV32 )
= SY334 ) ) )
= $false )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1214]) ).
thf(1261,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ( SV42 @ ( sK54_SY101 @ SV136 @ SV42 ) ) )
= $false )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV42 @ ( sK37_SY288 @ SV136 @ SV42 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1215]) ).
thf(1262,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ~ ! [SY335: $i] :
( ~ ( SV42 @ SY335 )
| ( ( sK54_SY101 @ SV136 @ SV42 )
= SY335 ) ) )
= $false )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV42 @ ( sK37_SY288 @ SV136 @ SV42 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1215]) ).
thf(1263,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( SV42 @ ( sK46_SY101 @ SV136 @ SV42 ) )
= $true )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136 @ SV42 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1216]) ).
thf(1264,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ! [SY327: $i] :
( ~ ( SV42 @ SY327 )
| ( ( sK46_SY101 @ SV136 @ SV42 )
= SY327 ) ) )
= $true )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136 @ SV42 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1217]) ).
thf(1265,plain,
! [SV52: $i,SV138: $i,SV181: $i] :
( ( ( ~ ( in @ SV181 @ ( sK23_SY130 @ SV138 @ SV52 ) ) )
= $true )
| ( ( ~ ( in @ SV181 @ SV52 ) )
= $true )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1218]) ).
thf(1266,plain,
! [SV102: $i,SV55: $i > $i > $o,SV161: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK60_SY311 @ SV161 @ SV55 @ SV102 ) @ SV102 )
| ~ ( SV55 @ ( sK60_SY311 @ SV161 @ SV55 @ SV102 ) @ SV161 ) ) )
= $false )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $false )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1219]) ).
thf(1267,plain,
! [SV161: $i,SV55: $i > $i > $o,SV102: $i,SV189: $i] :
( ( ( ~ ~ ( ~ ( in @ SV189 @ SV102 )
| ~ ( SV55 @ SV189 @ SV161 ) ) )
= $true )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $true )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1220]) ).
thf(1268,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i] :
( ( ( ~ ! [SY345: $i] :
~ ( ~ ( ~ ( in @ SY345 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY345 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY345 ) )
| ( in @ SY345 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) ) ) ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1221]) ).
thf(1269,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i] :
( ( ( ! [SY342: $i] :
~ ( ~ ( ~ ( in @ SY342 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY342 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY342 ) )
| ( in @ SY342 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) ) ) ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1222]) ).
thf(1270,plain,
! [SV109: $i > $o,SV182: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV182 ) )
= $true )
| ( ( ~ ! [SY336: $i] :
( ~ ( SV60 @ SY336 )
| ( SV182 = SY336 ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1223]) ).
thf(1271,plain,
! [SV60: $i > $o,SV183: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV183 ) )
= $true )
| ( ( ~ ! [SY337: $i] :
( ~ ( SV109 @ SY337 )
| ( SV183 = SY337 ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1224]) ).
thf(1272,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1225]) ).
thf(1273,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1226]) ).
thf(1278,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) ) )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1231]) ).
thf(1279,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) ) )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1280,plain,
! [SV186: $i] :
( ( ( sK2_SY0 @ SV186 )
= $false )
| ( ( sK40_SX0 = SV186 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1281,plain,
! [SV64: $i,SV177: $i,SV188: $i] :
( ( ( ~ ( in @ SV188 @ SV177 ) )
= $true )
| ( ( in @ SV188 @ SV64 )
= $true )
| ( ( in @ SV177 @ ( sK3_SY166 @ SV64 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1234]) ).
thf(1282,plain,
! [SV184: $i,SV64: $i,SV178: $i] :
( ( ( ~ ( in @ SV178 @ SV64 )
| ~ ( in @ SV184 @ SV64 ) )
= $true )
| ( ( ~ ! [SY338: $i] :
( ~ ( in @ SY338 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SV178 @ SY338 )
| ( in @ SV184 @ SY338 ) )
| ~ ( ~ ( in @ SV184 @ SY338 )
| ( in @ SV178 @ SY338 ) ) ) )
| ( SV178 = SV184 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1235]) ).
thf(1283,plain,
! [SV162: $i,SV64: $i,SV167: $i] :
( ( ( in @ SV167 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ SV162 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( ! [SY317: $i] :
( ~ ( in @ SY317 @ SV162 )
| ( in @ SY317 @ SV167 ) )
| ! [SY318: $i] :
( ~ ( in @ SY318 @ SV167 )
| ( in @ SY318 @ SV162 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1284,plain,
! [SV64: $i,SV156: $i] :
( ( ( ! [SY301: $i] :
~ ( in @ SY301 @ SV156 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1237]) ).
thf(1285,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ( in @ SV190 @ SV156 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1238]) ).
thf(1286,plain,
! [SV127: $i,SV171: $i,SV179: $i,SV1: $i > $o] :
( ( ( SV1 @ SV179 )
= $false )
| ( ( SV171 = SV179 )
= $true )
| ( ( SV1 @ SV171 )
= $false )
| ( ( SV1 @ SV127 )
= $false )
| ( ( SV1 @ ( sK33_SY280 @ SV127 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1239]) ).
thf(1287,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( SV9 @ ( sK50_SY36 @ SV129 @ SV9 ) )
= $true )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV9 @ ( sK34_SY282 @ SV129 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1241]) ).
thf(1288,plain,
! [SV129: $i,SV9: $i > $o] :
( ( ( ! [SY331: $i] :
( ~ ( SV9 @ SY331 )
| ( ( sK50_SY36 @ SV129 @ SV9 )
= SY331 ) ) )
= $true )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV9 @ ( sK34_SY282 @ SV129 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1289,plain,
! [SV129: $i,SV191: $i,SV9: $i > $o] :
( ( ( ~ ( SV9 @ SV191 )
| ( ( sK41_SY36 @ SV129 @ SV9 )
= SV191 ) )
= $true )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1244]) ).
thf(1290,plain,
! [SV131: $i,SV187: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ( SV18 @ SV187 )
| ( SV187
= ( sK51_SY57 @ SV131 @ SV18 ) ) ) )
= $false )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1245]) ).
thf(1291,plain,
! [SV18: $i > $o,SV131: $i,SV187: $i] :
( ( ( ~ ( ( SV187
!= ( sK51_SY57 @ SV131 @ SV18 ) )
| ( SV18 @ SV187 ) ) )
= $false )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1245]) ).
thf(1292,plain,
! [SV131: $i,SV185: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ SV185 )
| ( SV185
= ( sK42_SY57 @ SV131 @ SV18 ) ) )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131 @ SV18 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1246]) ).
thf(1293,plain,
! [SV18: $i > $o,SV131: $i,SV185: $i] :
( ( ( ( SV185
!= ( sK42_SY57 @ SV131 @ SV18 ) )
| ( SV18 @ SV185 ) )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131 @ SV18 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1294,plain,
! [SV132: $i,SV192: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ SV192 )
| ( ( sK43_SY62 @ SV132 @ SV20 )
= SV192 ) )
= $true )
| ( ( SV20 @ ( sK26_SY60 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1249]) ).
thf(1295,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( SV20 @ ( sK52_SY62 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ ( sK30_SY307 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1250]) ).
thf(1296,plain,
! [SV132: $i,SV20: $i > $o] :
( ( ( ! [SY333: $i] :
( ~ ( SV20 @ SY333 )
| ( ( sK52_SY62 @ SV132 @ SV20 )
= SY333 ) ) )
= $true )
| ( ( SV20 @ ( sK30_SY307 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1251]) ).
thf(1297,plain,
! [SV132: $i,SV193: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ SV193 )
| ( ( sK44_SY62 @ SV132 @ SV20 )
= SV193 ) )
= $true )
| ( ( ( sK26_SY60 @ SV132 @ SV20 )
= ( sK30_SY307 @ SV132 @ SV20 ) )
= $false )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1253]) ).
thf(1298,plain,
! [SV133: $i,SV173: $i,SV180: $i,SV31: $i > $o] :
( ( ( SV31 @ SV180 )
= $false )
| ( ( SV173 = SV180 )
= $true )
| ( ( SV31 @ SV173 )
= $false )
| ( ( SV31 @ SV133 )
= $false )
| ( ( SV31 @ ( sK36_SY285 @ SV133 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1299,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ( SV32 @ ( sK58_SY85 @ SV134 @ SV32 ) )
| ~ ! [SY341: $i] :
( ~ ( SV32 @ SY341 )
| ( ( sK58_SY85 @ SV134 @ SV32 )
= SY341 ) ) )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1256]) ).
thf(1304,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( SV32 @ ( sK53_SY85 @ SV134 @ SV32 ) )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1259]) ).
thf(1305,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ! [SY334: $i] :
( ~ ( SV32 @ SY334 )
| ( ( sK53_SY85 @ SV134 @ SV32 )
= SY334 ) ) )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1260]) ).
thf(1306,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( SV42 @ ( sK54_SY101 @ SV136 @ SV42 ) )
= $true )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV42 @ ( sK37_SY288 @ SV136 @ SV42 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1261]) ).
thf(1307,plain,
! [SV136: $i,SV42: $i > $o] :
( ( ( ! [SY335: $i] :
( ~ ( SV42 @ SY335 )
| ( ( sK54_SY101 @ SV136 @ SV42 )
= SY335 ) ) )
= $true )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV42 @ ( sK37_SY288 @ SV136 @ SV42 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1262]) ).
thf(1308,plain,
! [SV136: $i,SV194: $i,SV42: $i > $o] :
( ( ( ~ ( SV42 @ SV194 )
| ( ( sK46_SY101 @ SV136 @ SV42 )
= SV194 ) )
= $true )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136 @ SV42 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1264]) ).
thf(1309,plain,
! [SV52: $i,SV138: $i,SV181: $i] :
( ( ( in @ SV181 @ ( sK23_SY130 @ SV138 @ SV52 ) )
= $false )
| ( ( ~ ( in @ SV181 @ SV52 ) )
= $true )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1265]) ).
thf(1310,plain,
! [SV102: $i,SV55: $i > $i > $o,SV161: $i] :
( ( ( ~ ( ~ ( in @ ( sK60_SY311 @ SV161 @ SV55 @ SV102 ) @ SV102 )
| ~ ( SV55 @ ( sK60_SY311 @ SV161 @ SV55 @ SV102 ) @ SV161 ) ) )
= $true )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $false )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1311,plain,
! [SV161: $i,SV55: $i > $i > $o,SV102: $i,SV189: $i] :
( ( ( ~ ( ~ ( in @ SV189 @ SV102 )
| ~ ( SV55 @ SV189 @ SV161 ) ) )
= $false )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $true )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1312,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i] :
( ( ( ! [SY345: $i] :
~ ( ~ ( ~ ( in @ SY345 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
| ~ ! [SY240: $i] :
~ ~ ( ~ ( in @ SY240 @ SV102 )
| ~ ( SV55 @ SY240 @ SY345 ) ) )
| ~ ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ SV102 )
| ~ ( SV55 @ SY241 @ SY345 ) )
| ( in @ SY345 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) ) ) ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1268]) ).
thf(1313,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i,SV195: $i] :
( ( ( ~ ( ~ ( ~ ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
| ~ ! [SY348: $i] :
~ ~ ( ~ ( in @ SY348 @ SV102 )
| ~ ( SV55 @ SY348 @ SV195 ) ) )
| ~ ( ~ ~ ! [SY349: $i] :
~ ~ ( ~ ( in @ SY349 @ SV102 )
| ~ ( SV55 @ SY349 @ SV195 ) )
| ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) ) ) ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1269]) ).
thf(1314,plain,
! [SV109: $i > $o,SV182: $i,SV60: $i > $o] :
( ( ( SV60 @ SV182 )
= $false )
| ( ( ~ ! [SY336: $i] :
( ~ ( SV60 @ SY336 )
| ( SV182 = SY336 ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1270]) ).
thf(1315,plain,
! [SV60: $i > $o,SV183: $i,SV109: $i > $o] :
( ( ( SV109 @ SV183 )
= $false )
| ( ( ~ ! [SY337: $i] :
( ~ ( SV109 @ SY337 )
| ( SV183 = SY337 ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1316,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1272]) ).
thf(1317,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1273]) ).
thf(1322,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1278]) ).
thf(1323,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1279]) ).
thf(1324,plain,
! [SV64: $i,SV177: $i,SV188: $i] :
( ( ( in @ SV188 @ SV177 )
= $false )
| ( ( in @ SV188 @ SV64 )
= $true )
| ( ( in @ SV177 @ ( sK3_SY166 @ SV64 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1281]) ).
thf(1325,plain,
! [SV184: $i,SV64: $i,SV178: $i] :
( ( ( ~ ( in @ SV178 @ SV64 ) )
= $true )
| ( ( ~ ( in @ SV184 @ SV64 ) )
= $true )
| ( ( ~ ! [SY338: $i] :
( ~ ( in @ SY338 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SV178 @ SY338 )
| ( in @ SV184 @ SY338 ) )
| ~ ( ~ ( in @ SV184 @ SY338 )
| ( in @ SV178 @ SY338 ) ) ) )
| ( SV178 = SV184 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1282]) ).
thf(1326,plain,
! [SV64: $i,SV167: $i,SV162: $i] :
( ( ( ! [SY317: $i] :
( ~ ( in @ SY317 @ SV162 )
| ( in @ SY317 @ SV167 ) ) )
= $true )
| ( ( ! [SY318: $i] :
( ~ ( in @ SY318 @ SV167 )
| ( in @ SY318 @ SV162 ) ) )
= $true )
| ( ( in @ SV162 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ SV167 @ ( sK3_SY166 @ SV64 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1283]) ).
thf(1327,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ( in @ SV196 @ SV156 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1284]) ).
thf(1328,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( in @ SV190 @ SV156 )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1285]) ).
thf(1329,plain,
! [SV129: $i,SV197: $i,SV9: $i > $o] :
( ( ( ~ ( SV9 @ SV197 )
| ( ( sK50_SY36 @ SV129 @ SV9 )
= SV197 ) )
= $true )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV9 @ ( sK34_SY282 @ SV129 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1288]) ).
thf(1330,plain,
! [SV129: $i,SV191: $i,SV9: $i > $o] :
( ( ( ~ ( SV9 @ SV191 ) )
= $true )
| ( ( ( sK41_SY36 @ SV129 @ SV9 )
= SV191 )
= $true )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1289]) ).
thf(1331,plain,
! [SV131: $i,SV187: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ SV187 )
| ( SV187
= ( sK51_SY57 @ SV131 @ SV18 ) ) )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1290]) ).
thf(1332,plain,
! [SV18: $i > $o,SV131: $i,SV187: $i] :
( ( ( ( SV187
!= ( sK51_SY57 @ SV131 @ SV18 ) )
| ( SV18 @ SV187 ) )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1291]) ).
thf(1333,plain,
! [SV131: $i,SV185: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ SV185 ) )
= $true )
| ( ( SV185
= ( sK42_SY57 @ SV131 @ SV18 ) )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131 @ SV18 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1292]) ).
thf(1334,plain,
! [SV18: $i > $o,SV131: $i,SV185: $i] :
( ( ( SV185
!= ( sK42_SY57 @ SV131 @ SV18 ) )
= $true )
| ( ( SV18 @ SV185 )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131 @ SV18 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1293]) ).
thf(1335,plain,
! [SV132: $i,SV192: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ SV192 ) )
= $true )
| ( ( ( sK43_SY62 @ SV132 @ SV20 )
= SV192 )
= $true )
| ( ( SV20 @ ( sK26_SY60 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1294]) ).
thf(1336,plain,
! [SV132: $i,SV198: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ SV198 )
| ( ( sK52_SY62 @ SV132 @ SV20 )
= SV198 ) )
= $true )
| ( ( SV20 @ ( sK30_SY307 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1296]) ).
thf(1337,plain,
! [SV132: $i,SV193: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ SV193 ) )
= $true )
| ( ( ( sK44_SY62 @ SV132 @ SV20 )
= SV193 )
= $true )
| ( ( ( sK26_SY60 @ SV132 @ SV20 )
= ( sK30_SY307 @ SV132 @ SV20 ) )
= $false )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1297]) ).
thf(1338,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ( SV32 @ ( sK58_SY85 @ SV134 @ SV32 ) ) )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1299]) ).
thf(1339,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ~ ! [SY341: $i] :
( ~ ( SV32 @ SY341 )
| ( ( sK58_SY85 @ SV134 @ SV32 )
= SY341 ) ) )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1299]) ).
thf(1344,plain,
! [SV134: $i,SV199: $i,SV32: $i > $o] :
( ( ( ~ ( SV32 @ SV199 )
| ( ( sK53_SY85 @ SV134 @ SV32 )
= SV199 ) )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1305]) ).
thf(1345,plain,
! [SV136: $i,SV200: $i,SV42: $i > $o] :
( ( ( ~ ( SV42 @ SV200 )
| ( ( sK54_SY101 @ SV136 @ SV42 )
= SV200 ) )
= $true )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV42 @ ( sK37_SY288 @ SV136 @ SV42 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1307]) ).
thf(1346,plain,
! [SV136: $i,SV194: $i,SV42: $i > $o] :
( ( ( ~ ( SV42 @ SV194 ) )
= $true )
| ( ( ( sK46_SY101 @ SV136 @ SV42 )
= SV194 )
= $true )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136 @ SV42 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1308]) ).
thf(1347,plain,
! [SV138: $i,SV52: $i,SV181: $i] :
( ( ( in @ SV181 @ SV52 )
= $false )
| ( ( in @ SV181 @ ( sK23_SY130 @ SV138 @ SV52 ) )
= $false )
| ( ( in @ SV138 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1309]) ).
thf(1348,plain,
! [SV102: $i,SV55: $i > $i > $o,SV161: $i] :
( ( ( ~ ( in @ ( sK60_SY311 @ SV161 @ SV55 @ SV102 ) @ SV102 )
| ~ ( SV55 @ ( sK60_SY311 @ SV161 @ SV55 @ SV102 ) @ SV161 ) )
= $false )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $false )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1310]) ).
thf(1349,plain,
! [SV161: $i,SV55: $i > $i > $o,SV102: $i,SV189: $i] :
( ( ( ~ ( in @ SV189 @ SV102 )
| ~ ( SV55 @ SV189 @ SV161 ) )
= $true )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $true )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1311]) ).
thf(1350,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i,SV201: $i] :
( ( ( ~ ( ~ ( ~ ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
| ~ ! [SY350: $i] :
~ ~ ( ~ ( in @ SY350 @ SV102 )
| ~ ( SV55 @ SY350 @ SV201 ) ) )
| ~ ( ~ ~ ! [SY351: $i] :
~ ~ ( ~ ( in @ SY351 @ SV102 )
| ~ ( SV55 @ SY351 @ SV201 ) )
| ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) ) ) ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1312]) ).
thf(1351,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i,SV195: $i] :
( ( ( ~ ( ~ ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
| ~ ! [SY348: $i] :
~ ~ ( ~ ( in @ SY348 @ SV102 )
| ~ ( SV55 @ SY348 @ SV195 ) ) )
| ~ ( ~ ~ ! [SY349: $i] :
~ ~ ( ~ ( in @ SY349 @ SV102 )
| ~ ( SV55 @ SY349 @ SV195 ) )
| ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) ) ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1352,plain,
! [SV109: $i > $o,SV182: $i,SV60: $i > $o] :
( ( ( ! [SY336: $i] :
( ~ ( SV60 @ SY336 )
| ( SV182 = SY336 ) ) )
= $false )
| ( ( SV60 @ SV182 )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1314]) ).
thf(1353,plain,
! [SV60: $i > $o,SV183: $i,SV109: $i > $o] :
( ( ( ! [SY337: $i] :
( ~ ( SV109 @ SY337 )
| ( SV183 = SY337 ) ) )
= $false )
| ( ( SV109 @ SV183 )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1315]) ).
thf(1354,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) ) )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1316]) ).
thf(1355,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) ) )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1317]) ).
thf(1360,plain,
! [SV109: $i > $o,SV202: $i,SV60: $i > $o] :
( ( ( ~ ~ ( ~ ( SV60 @ SV202 )
| ~ ! [SY352: $i] :
( ~ ( SV60 @ SY352 )
| ( SV202 = SY352 ) ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1322]) ).
thf(1361,plain,
! [SV60: $i > $o,SV203: $i,SV109: $i > $o] :
( ( ( ~ ~ ( ~ ( SV109 @ SV203 )
| ~ ! [SY353: $i] :
( ~ ( SV109 @ SY353 )
| ( SV203 = SY353 ) ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1362,plain,
! [SV184: $i,SV64: $i,SV178: $i] :
( ( ( in @ SV178 @ SV64 )
= $false )
| ( ( ~ ( in @ SV184 @ SV64 ) )
= $true )
| ( ( ~ ! [SY338: $i] :
( ~ ( in @ SY338 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SV178 @ SY338 )
| ( in @ SV184 @ SY338 ) )
| ~ ( ~ ( in @ SV184 @ SY338 )
| ( in @ SV178 @ SY338 ) ) ) )
| ( SV178 = SV184 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1325]) ).
thf(1363,plain,
! [SV64: $i,SV167: $i,SV162: $i,SV204: $i] :
( ( ( ~ ( in @ SV204 @ SV162 )
| ( in @ SV204 @ SV167 ) )
= $true )
| ( ( ! [SY318: $i] :
( ~ ( in @ SY318 @ SV167 )
| ( in @ SY318 @ SV162 ) ) )
= $true )
| ( ( in @ SV162 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ SV167 @ ( sK3_SY166 @ SV64 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1326]) ).
thf(1364,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( in @ SV196 @ SV156 )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( ~ ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1365,plain,
! [SV190: $i,SV156: $i,SV64: $i] :
( ( ( ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1328]) ).
thf(1366,plain,
! [SV129: $i,SV197: $i,SV9: $i > $o] :
( ( ( ~ ( SV9 @ SV197 ) )
= $true )
| ( ( ( sK50_SY36 @ SV129 @ SV9 )
= SV197 )
= $true )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV9 @ ( sK34_SY282 @ SV129 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1329]) ).
thf(1367,plain,
! [SV129: $i,SV191: $i,SV9: $i > $o] :
( ( ( SV9 @ SV191 )
= $false )
| ( ( ( sK41_SY36 @ SV129 @ SV9 )
= SV191 )
= $true )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1330]) ).
thf(1368,plain,
! [SV131: $i,SV187: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ SV187 ) )
= $true )
| ( ( SV187
= ( sK51_SY57 @ SV131 @ SV18 ) )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1331]) ).
thf(1369,plain,
! [SV18: $i > $o,SV131: $i,SV187: $i] :
( ( ( SV187
!= ( sK51_SY57 @ SV131 @ SV18 ) )
= $true )
| ( ( SV18 @ SV187 )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1332]) ).
thf(1370,plain,
! [SV131: $i,SV185: $i,SV18: $i > $o] :
( ( ( SV18 @ SV185 )
= $false )
| ( ( SV185
= ( sK42_SY57 @ SV131 @ SV18 ) )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1333]) ).
thf(1371,plain,
! [SV18: $i > $o,SV131: $i,SV185: $i] :
( ( ( SV185
= ( sK42_SY57 @ SV131 @ SV18 ) )
= $false )
| ( ( SV18 @ SV185 )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1372,plain,
! [SV132: $i,SV192: $i,SV20: $i > $o] :
( ( ( SV20 @ SV192 )
= $false )
| ( ( ( sK43_SY62 @ SV132 @ SV20 )
= SV192 )
= $true )
| ( ( SV20 @ ( sK26_SY60 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1335]) ).
thf(1373,plain,
! [SV132: $i,SV198: $i,SV20: $i > $o] :
( ( ( ~ ( SV20 @ SV198 ) )
= $true )
| ( ( ( sK52_SY62 @ SV132 @ SV20 )
= SV198 )
= $true )
| ( ( SV20 @ ( sK30_SY307 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1336]) ).
thf(1374,plain,
! [SV132: $i,SV193: $i,SV20: $i > $o] :
( ( ( SV20 @ SV193 )
= $false )
| ( ( ( sK44_SY62 @ SV132 @ SV20 )
= SV193 )
= $true )
| ( ( ( sK26_SY60 @ SV132 @ SV20 )
= ( sK30_SY307 @ SV132 @ SV20 ) )
= $false )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1337]) ).
thf(1375,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( SV32 @ ( sK58_SY85 @ SV134 @ SV32 ) )
= $true )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1338]) ).
thf(1376,plain,
! [SV134: $i,SV32: $i > $o] :
( ( ( ! [SY341: $i] :
( ~ ( SV32 @ SY341 )
| ( ( sK58_SY85 @ SV134 @ SV32 )
= SY341 ) ) )
= $true )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1339]) ).
thf(1379,plain,
! [SV134: $i,SV199: $i,SV32: $i > $o] :
( ( ( ~ ( SV32 @ SV199 ) )
= $true )
| ( ( ( sK53_SY85 @ SV134 @ SV32 )
= SV199 )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1344]) ).
thf(1380,plain,
! [SV136: $i,SV200: $i,SV42: $i > $o] :
( ( ( ~ ( SV42 @ SV200 ) )
= $true )
| ( ( ( sK54_SY101 @ SV136 @ SV42 )
= SV200 )
= $true )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV42 @ ( sK37_SY288 @ SV136 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1345]) ).
thf(1381,plain,
! [SV136: $i,SV194: $i,SV42: $i > $o] :
( ( ( SV42 @ SV194 )
= $false )
| ( ( ( sK46_SY101 @ SV136 @ SV42 )
= SV194 )
= $true )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136 @ SV42 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1346]) ).
thf(1382,plain,
! [SV102: $i,SV55: $i > $i > $o,SV161: $i] :
( ( ( ~ ( in @ ( sK60_SY311 @ SV161 @ SV55 @ SV102 ) @ SV102 ) )
= $false )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $false )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1348]) ).
thf(1383,plain,
! [SV102: $i,SV161: $i,SV55: $i > $i > $o] :
( ( ( ~ ( SV55 @ ( sK60_SY311 @ SV161 @ SV55 @ SV102 ) @ SV161 ) )
= $false )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $false )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1348]) ).
thf(1384,plain,
! [SV161: $i,SV55: $i > $i > $o,SV102: $i,SV189: $i] :
( ( ( ~ ( in @ SV189 @ SV102 ) )
= $true )
| ( ( ~ ( SV55 @ SV189 @ SV161 ) )
= $true )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $true )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1349]) ).
thf(1385,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i,SV201: $i] :
( ( ( ~ ( ~ ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
| ~ ! [SY350: $i] :
~ ~ ( ~ ( in @ SY350 @ SV102 )
| ~ ( SV55 @ SY350 @ SV201 ) ) )
| ~ ( ~ ~ ! [SY351: $i] :
~ ~ ( ~ ( in @ SY351 @ SV102 )
| ~ ( SV55 @ SY351 @ SV201 ) )
| ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) ) ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1350]) ).
thf(1386,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i,SV195: $i] :
( ( ( ~ ( ~ ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
| ~ ! [SY348: $i] :
~ ~ ( ~ ( in @ SY348 @ SV102 )
| ~ ( SV55 @ SY348 @ SV195 ) ) ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1351]) ).
thf(1387,plain,
! [SV153: $i,SV195: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ~ ( ~ ~ ! [SY349: $i] :
~ ~ ( ~ ( in @ SY349 @ SV102 )
| ~ ( SV55 @ SY349 @ SV195 ) )
| ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) ) ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1351]) ).
thf(1388,plain,
! [SV182: $i,SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
| ( SV182
= ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) ) )
= $false )
| ( ( SV60 @ SV182 )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1352]) ).
thf(1389,plain,
! [SV183: $i,SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
| ( SV183
= ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) ) )
= $false )
| ( ( SV109 @ SV183 )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1353]) ).
thf(1390,plain,
! [SV109: $i > $o,SV60: $i > $o] :
( ( ( ! [SY151: $i] :
~ ~ ( ~ ( SV60 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( SV60 @ SY152 )
| ( SY151 = SY152 ) ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1354]) ).
thf(1391,plain,
! [SV60: $i > $o,SV109: $i > $o] :
( ( ( ! [SY250: $i] :
~ ~ ( ~ ( SV109 @ SY250 )
| ~ ! [SY251: $i] :
( ~ ( SV109 @ SY251 )
| ( SY250 = SY251 ) ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1355]) ).
thf(1396,plain,
! [SV109: $i > $o,SV202: $i,SV60: $i > $o] :
( ( ( ~ ( ~ ( SV60 @ SV202 )
| ~ ! [SY352: $i] :
( ~ ( SV60 @ SY352 )
| ( SV202 = SY352 ) ) ) )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1360]) ).
thf(1397,plain,
! [SV60: $i > $o,SV203: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ SV203 )
| ~ ! [SY353: $i] :
( ~ ( SV109 @ SY353 )
| ( SV203 = SY353 ) ) ) )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1361]) ).
thf(1398,plain,
! [SV178: $i,SV64: $i,SV184: $i] :
( ( ( in @ SV184 @ SV64 )
= $false )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( ~ ! [SY338: $i] :
( ~ ( in @ SY338 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SV178 @ SY338 )
| ( in @ SV184 @ SY338 ) )
| ~ ( ~ ( in @ SV184 @ SY338 )
| ( in @ SV178 @ SY338 ) ) ) )
| ( SV178 = SV184 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1362]) ).
thf(1399,plain,
! [SV64: $i,SV167: $i,SV162: $i,SV204: $i] :
( ( ( ~ ( in @ SV204 @ SV162 ) )
= $true )
| ( ( in @ SV204 @ SV167 )
= $true )
| ( ( ! [SY318: $i] :
( ~ ( in @ SY318 @ SV167 )
| ( in @ SY318 @ SV162 ) ) )
= $true )
| ( ( in @ SV162 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ SV167 @ ( sK3_SY166 @ SV64 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1363]) ).
thf(1400,plain,
! [SV196: $i,SV156: $i,SV64: $i] :
( ( ( ! [SY302: $i] :
~ ~ ! [SY303: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ SY302 @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY303 @ SV156 ) )
| ~ ~ ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ SY302 )
| ~ ( in @ SY304 @ SV156 ) ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK3_SY166 @ SV64 ) )
| ! [SX6: $i] :
( ~ ( in @ SX6 @ SY278 )
| ( in @ SX6 @ SY302 ) )
| ( in @ SY303 @ SY278 ) ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1364]) ).
thf(1401,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ~ ! [SY358: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY358 @ SV156 ) )
| ~ ~ ~ ! [SY359: $i] :
~ ~ ( ~ ( in @ SY359 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SY359 @ SV156 ) ) )
| ~ ! [SY360: $i] :
( ~ ( in @ SY360 @ ( sK3_SY166 @ SV64 ) )
| ! [SY361: $i] :
( ~ ( in @ SY361 @ SY360 )
| ( in @ SY361 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) ) )
| ( in @ SY358 @ SY360 ) ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1365]) ).
thf(1402,plain,
! [SV129: $i,SV197: $i,SV9: $i > $o] :
( ( ( SV9 @ SV197 )
= $false )
| ( ( ( sK50_SY36 @ SV129 @ SV9 )
= SV197 )
= $true )
| ( ( SV9 @ SV129 )
= $false )
| ( ( SV9 @ ( sK34_SY282 @ SV129 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1366]) ).
thf(1403,plain,
! [SV131: $i,SV187: $i,SV18: $i > $o] :
( ( ( SV18 @ SV187 )
= $false )
| ( ( SV187
= ( sK51_SY57 @ SV131 @ SV18 ) )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1368]) ).
thf(1404,plain,
! [SV18: $i > $o,SV131: $i,SV187: $i] :
( ( ( SV187
= ( sK51_SY57 @ SV131 @ SV18 ) )
= $false )
| ( ( SV18 @ SV187 )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1369]) ).
thf(1405,plain,
! [SV132: $i,SV198: $i,SV20: $i > $o] :
( ( ( SV20 @ SV198 )
= $false )
| ( ( ( sK52_SY62 @ SV132 @ SV20 )
= SV198 )
= $true )
| ( ( SV20 @ ( sK30_SY307 @ SV132 @ SV20 ) )
= $true )
| ( ( SV20 @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1406,plain,
! [SV134: $i,SV211: $i,SV32: $i > $o] :
( ( ( ~ ( SV32 @ SV211 )
| ( ( sK58_SY85 @ SV134 @ SV32 )
= SV211 ) )
= $true )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1376]) ).
thf(1409,plain,
! [SV134: $i,SV199: $i,SV32: $i > $o] :
( ( ( SV32 @ SV199 )
= $false )
| ( ( ( sK53_SY85 @ SV134 @ SV32 )
= SV199 )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $false )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1379]) ).
thf(1410,plain,
! [SV136: $i,SV200: $i,SV42: $i > $o] :
( ( ( SV42 @ SV200 )
= $false )
| ( ( ( sK54_SY101 @ SV136 @ SV42 )
= SV200 )
= $true )
| ( ( SV42 @ SV136 )
= $false )
| ( ( SV42 @ ( sK37_SY288 @ SV136 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1380]) ).
thf(1411,plain,
! [SV102: $i,SV55: $i > $i > $o,SV161: $i] :
( ( ( in @ ( sK60_SY311 @ SV161 @ SV55 @ SV102 ) @ SV102 )
= $true )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $false )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1382]) ).
thf(1412,plain,
! [SV102: $i,SV161: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ ( sK60_SY311 @ SV161 @ SV55 @ SV102 ) @ SV161 )
= $true )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $false )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1383]) ).
thf(1413,plain,
! [SV161: $i,SV55: $i > $i > $o,SV102: $i,SV189: $i] :
( ( ( in @ SV189 @ SV102 )
= $false )
| ( ( ~ ( SV55 @ SV189 @ SV161 ) )
= $true )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $true )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1384]) ).
thf(1414,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i,SV201: $i] :
( ( ( ~ ( ~ ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
| ~ ! [SY350: $i] :
~ ~ ( ~ ( in @ SY350 @ SV102 )
| ~ ( SV55 @ SY350 @ SV201 ) ) ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1385]) ).
thf(1415,plain,
! [SV153: $i,SV201: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ~ ( ~ ~ ! [SY351: $i] :
~ ~ ( ~ ( in @ SY351 @ SV102 )
| ~ ( SV55 @ SY351 @ SV201 ) )
| ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) ) ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1385]) ).
thf(1416,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i,SV195: $i] :
( ( ( ~ ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
| ~ ! [SY348: $i] :
~ ~ ( ~ ( in @ SY348 @ SV102 )
| ~ ( SV55 @ SY348 @ SV195 ) ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1386]) ).
thf(1417,plain,
! [SV153: $i,SV195: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ~ ~ ! [SY349: $i] :
~ ~ ( ~ ( in @ SY349 @ SV102 )
| ~ ( SV55 @ SY349 @ SV195 ) )
| ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1387]) ).
thf(1418,plain,
! [SV182: $i,SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) ) )
= $false )
| ( ( SV60 @ SV182 )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1419,plain,
! [SV60: $i > $o,SV109: $i > $o,SV182: $i] :
( ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $false )
| ( ( SV60 @ SV182 )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1420,plain,
! [SV183: $i,SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) ) )
= $false )
| ( ( SV109 @ SV183 )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1389]) ).
thf(1421,plain,
! [SV109: $i > $o,SV60: $i > $o,SV183: $i] :
( ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $false )
| ( ( SV109 @ SV183 )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1389]) ).
thf(1422,plain,
! [SV109: $i > $o,SV212: $i,SV60: $i > $o] :
( ( ( ~ ~ ( ~ ( SV60 @ SV212 )
| ~ ! [SY362: $i] :
( ~ ( SV60 @ SY362 )
| ( SV212 = SY362 ) ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(1423,plain,
! [SV60: $i > $o,SV213: $i,SV109: $i > $o] :
( ( ( ~ ~ ( ~ ( SV109 @ SV213 )
| ~ ! [SY363: $i] :
( ~ ( SV109 @ SY363 )
| ( SV213 = SY363 ) ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1391]) ).
thf(1428,plain,
! [SV109: $i > $o,SV202: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV202 )
| ~ ! [SY352: $i] :
( ~ ( SV60 @ SY352 )
| ( SV202 = SY352 ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1396]) ).
thf(1429,plain,
! [SV60: $i > $o,SV203: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV203 )
| ~ ! [SY353: $i] :
( ~ ( SV109 @ SY353 )
| ( SV203 = SY353 ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1397]) ).
thf(1430,plain,
! [SV184: $i,SV178: $i,SV64: $i] :
( ( ( ~ ! [SY338: $i] :
( ~ ( in @ SY338 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SV178 @ SY338 )
| ( in @ SV184 @ SY338 ) )
| ~ ( ~ ( in @ SV184 @ SY338 )
| ( in @ SV178 @ SY338 ) ) ) ) )
= $true )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1431,plain,
! [SV64: $i,SV167: $i,SV162: $i,SV204: $i] :
( ( ( in @ SV204 @ SV162 )
= $false )
| ( ( in @ SV204 @ SV167 )
= $true )
| ( ( ! [SY318: $i] :
( ~ ( in @ SY318 @ SV167 )
| ( in @ SY318 @ SV162 ) ) )
= $true )
| ( ( in @ SV162 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ SV167 @ ( sK3_SY166 @ SV64 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1399]) ).
thf(1432,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ~ ! [SY364: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY364 @ SV156 ) )
| ~ ~ ~ ! [SY365: $i] :
~ ~ ( ~ ( in @ SY365 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SY365 @ SV156 ) ) )
| ~ ! [SY366: $i] :
( ~ ( in @ SY366 @ ( sK3_SY166 @ SV64 ) )
| ! [SY367: $i] :
( ~ ( in @ SY367 @ SY366 )
| ( in @ SY367 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) ) )
| ( in @ SY364 @ SY366 ) ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1400]) ).
thf(1433,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ! [SY358: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY358 @ SV156 ) )
| ~ ~ ~ ! [SY359: $i] :
~ ~ ( ~ ( in @ SY359 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SY359 @ SV156 ) ) )
| ~ ! [SY360: $i] :
( ~ ( in @ SY360 @ ( sK3_SY166 @ SV64 ) )
| ! [SY361: $i] :
( ~ ( in @ SY361 @ SY360 )
| ( in @ SY361 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) ) )
| ( in @ SY358 @ SY360 ) ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1401]) ).
thf(1434,plain,
! [SV134: $i,SV211: $i,SV32: $i > $o] :
( ( ( ~ ( SV32 @ SV211 ) )
= $true )
| ( ( ( sK58_SY85 @ SV134 @ SV32 )
= SV211 )
= $true )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1406]) ).
thf(1437,plain,
! [SV102: $i,SV161: $i,SV189: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV189 @ SV161 )
= $false )
| ( ( in @ SV189 @ SV102 )
= $false )
| ( ( in @ SV161 @ ( sK28_SY238 @ SV55 @ SV102 ) )
= $true )
| ( ( in @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1413]) ).
thf(1438,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i,SV201: $i] :
( ( ( ~ ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
| ~ ! [SY350: $i] :
~ ~ ( ~ ( in @ SY350 @ SV102 )
| ~ ( SV55 @ SY350 @ SV201 ) ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1414]) ).
thf(1439,plain,
! [SV153: $i,SV201: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ~ ~ ! [SY351: $i] :
~ ~ ( ~ ( in @ SY351 @ SV102 )
| ~ ( SV55 @ SY351 @ SV201 ) )
| ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1415]) ).
thf(1440,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i,SV195: $i] :
( ( ( ~ ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) ) )
= $true )
| ( ( ~ ! [SY348: $i] :
~ ~ ( ~ ( in @ SY348 @ SV102 )
| ~ ( SV55 @ SY348 @ SV195 ) ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1416]) ).
thf(1441,plain,
! [SV153: $i,SV195: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ~ ~ ! [SY349: $i] :
~ ~ ( ~ ( in @ SY349 @ SV102 )
| ~ ( SV55 @ SY349 @ SV195 ) ) )
= $true )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1417]) ).
thf(1442,plain,
! [SV182: $i,SV109: $i > $o,SV60: $i > $o] :
( ( ( SV60 @ ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1418]) ).
thf(1443,plain,
! [SV182: $i,SV60: $i > $o,SV109: $i > $o] :
( ( ( ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $false )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1419]) ).
thf(1444,plain,
! [SV183: $i,SV60: $i > $o,SV109: $i > $o] :
( ( ( SV109 @ ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1420]) ).
thf(1445,plain,
! [SV183: $i,SV109: $i > $o,SV60: $i > $o] :
( ( ( ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $false )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1421]) ).
thf(1446,plain,
! [SV109: $i > $o,SV212: $i,SV60: $i > $o] :
( ( ( ~ ( ~ ( SV60 @ SV212 )
| ~ ! [SY362: $i] :
( ~ ( SV60 @ SY362 )
| ( SV212 = SY362 ) ) ) )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1422]) ).
thf(1447,plain,
! [SV60: $i > $o,SV213: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ SV213 )
| ~ ! [SY363: $i] :
( ~ ( SV109 @ SY363 )
| ( SV213 = SY363 ) ) ) )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1423]) ).
thf(1452,plain,
! [SV109: $i > $o,SV202: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV202 ) )
= $true )
| ( ( ~ ! [SY352: $i] :
( ~ ( SV60 @ SY352 )
| ( SV202 = SY352 ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1428]) ).
thf(1453,plain,
! [SV60: $i > $o,SV203: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV203 ) )
= $true )
| ( ( ~ ! [SY353: $i] :
( ~ ( SV109 @ SY353 )
| ( SV203 = SY353 ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1429]) ).
thf(1454,plain,
! [SV184: $i,SV178: $i,SV64: $i] :
( ( ( ! [SY338: $i] :
( ~ ( in @ SY338 @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SV178 @ SY338 )
| ( in @ SV184 @ SY338 ) )
| ~ ( ~ ( in @ SV184 @ SY338 )
| ( in @ SV178 @ SY338 ) ) ) ) )
= $false )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1455,plain,
! [SV64: $i,SV204: $i,SV162: $i,SV167: $i,SV214: $i] :
( ( ( ~ ( in @ SV214 @ SV167 )
| ( in @ SV214 @ SV162 ) )
= $true )
| ( ( in @ SV204 @ SV167 )
= $true )
| ( ( in @ SV204 @ SV162 )
= $false )
| ( ( in @ SV162 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ SV167 @ ( sK3_SY166 @ SV64 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1431]) ).
thf(1456,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ! [SY364: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY364 @ SV156 ) )
| ~ ~ ~ ! [SY365: $i] :
~ ~ ( ~ ( in @ SY365 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SY365 @ SV156 ) ) )
| ~ ! [SY366: $i] :
( ~ ( in @ SY366 @ ( sK3_SY166 @ SV64 ) )
| ! [SY367: $i] :
( ~ ( in @ SY367 @ SY366 )
| ( in @ SY367 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) ) )
| ( in @ SY364 @ SY366 ) ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1432]) ).
thf(1457,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ! [SY358: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY358 @ SV156 ) )
| ~ ~ ~ ! [SY359: $i] :
~ ~ ( ~ ( in @ SY359 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SY359 @ SV156 ) ) )
| ~ ! [SY360: $i] :
( ~ ( in @ SY360 @ ( sK3_SY166 @ SV64 ) )
| ! [SY361: $i] :
( ~ ( in @ SY361 @ SY360 )
| ( in @ SY361 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) ) )
| ( in @ SY358 @ SY360 ) ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1433]) ).
thf(1458,plain,
! [SV134: $i,SV211: $i,SV32: $i > $o] :
( ( ( SV32 @ SV211 )
= $false )
| ( ( ( sK58_SY85 @ SV134 @ SV32 )
= SV211 )
= $true )
| ( ( SV32 @ ( sK16_SY286 @ SV134 @ SV32 ) )
= $true )
| ( ( ( sK16_SY286 @ SV134 @ SV32 )
= SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1434]) ).
thf(1459,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i,SV201: $i] :
( ( ( ~ ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) ) )
= $true )
| ( ( ~ ! [SY350: $i] :
~ ~ ( ~ ( in @ SY350 @ SV102 )
| ~ ( SV55 @ SY350 @ SV201 ) ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1438]) ).
thf(1460,plain,
! [SV153: $i,SV201: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ~ ~ ! [SY351: $i] :
~ ~ ( ~ ( in @ SY351 @ SV102 )
| ~ ( SV55 @ SY351 @ SV201 ) ) )
= $true )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1439]) ).
thf(1461,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i,SV195: $i] :
( ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( ~ ! [SY348: $i] :
~ ~ ( ~ ( in @ SY348 @ SV102 )
| ~ ( SV55 @ SY348 @ SV195 ) ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1440]) ).
thf(1462,plain,
! [SV153: $i,SV195: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ~ ! [SY349: $i] :
~ ~ ( ~ ( in @ SY349 @ SV102 )
| ~ ( SV55 @ SY349 @ SV195 ) ) )
= $false )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1463,plain,
! [SV182: $i,SV60: $i > $o,SV109: $i > $o] :
( ( ( ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $false )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60 @ ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1464,plain,
! [SV60: $i > $o,SV182: $i,SV109: $i > $o] :
( ( ( ~ ~ ( ~ ( SV109 @ ( sK66_SY248 @ SV182 @ SV60 @ SV109 ) )
| ~ ! [SY368: $i] :
( ~ ( SV109 @ SY368 )
| ( ( sK66_SY248 @ SV182 @ SV60 @ SV109 )
= SY368 ) ) ) )
= $false )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1443]) ).
thf(1465,plain,
! [SV183: $i,SV109: $i > $o,SV60: $i > $o] :
( ( ( ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $false )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109 @ ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1444]) ).
thf(1466,plain,
! [SV109: $i > $o,SV183: $i,SV60: $i > $o] :
( ( ( ~ ~ ( ~ ( SV60 @ ( sK67_SY157 @ SV183 @ SV109 @ SV60 ) )
| ~ ! [SY369: $i] :
( ~ ( SV60 @ SY369 )
| ( ( sK67_SY157 @ SV183 @ SV109 @ SV60 )
= SY369 ) ) ) )
= $false )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1445]) ).
thf(1467,plain,
! [SV109: $i > $o,SV212: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV212 )
| ~ ! [SY362: $i] :
( ~ ( SV60 @ SY362 )
| ( SV212 = SY362 ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1446]) ).
thf(1468,plain,
! [SV60: $i > $o,SV213: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV213 )
| ~ ! [SY363: $i] :
( ~ ( SV109 @ SY363 )
| ( SV213 = SY363 ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1447]) ).
thf(1473,plain,
! [SV109: $i > $o,SV202: $i,SV60: $i > $o] :
( ( ( SV60 @ SV202 )
= $false )
| ( ( ~ ! [SY352: $i] :
( ~ ( SV60 @ SY352 )
| ( SV202 = SY352 ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1452]) ).
thf(1474,plain,
! [SV60: $i > $o,SV203: $i,SV109: $i > $o] :
( ( ( SV109 @ SV203 )
= $false )
| ( ( ~ ! [SY353: $i] :
( ~ ( SV109 @ SY353 )
| ( SV203 = SY353 ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1453]) ).
thf(1475,plain,
! [SV64: $i,SV178: $i,SV184: $i] :
( ( ( ~ ( in @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( ~ ( ~ ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
| ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) )
| ~ ( ~ ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
| ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) ) ) )
= $false )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1454]) ).
thf(1476,plain,
! [SV64: $i,SV204: $i,SV162: $i,SV167: $i,SV214: $i] :
( ( ( ~ ( in @ SV214 @ SV167 ) )
= $true )
| ( ( in @ SV214 @ SV162 )
= $true )
| ( ( in @ SV204 @ SV167 )
= $true )
| ( ( in @ SV204 @ SV162 )
= $false )
| ( ( in @ SV162 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ SV167 @ ( sK3_SY166 @ SV64 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1455]) ).
thf(1477,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ! [SY364: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ SY364 @ SV156 ) )
| ~ ~ ~ ! [SY365: $i] :
~ ~ ( ~ ( in @ SY365 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SY365 @ SV156 ) ) )
| ~ ! [SY366: $i] :
( ~ ( in @ SY366 @ ( sK3_SY166 @ SV64 ) )
| ! [SY367: $i] :
( ~ ( in @ SY367 @ SY366 )
| ( in @ SY367 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) ) )
| ( in @ SY364 @ SY366 ) ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1478,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV156 ) )
| ~ ~ ~ ! [SY359: $i] :
~ ~ ( ~ ( in @ SY359 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SY359 @ SV156 ) ) )
| ~ ! [SY371: $i] :
( ~ ( in @ SY371 @ ( sK3_SY166 @ SV64 ) )
| ! [SY361: $i] :
( ~ ( in @ SY361 @ SY371 )
| ( in @ SY361 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) ) )
| ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SY371 ) ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1457]) ).
thf(1479,plain,
! [SV102: $i,SV55: $i > $i > $o,SV153: $i,SV201: $i] :
( ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( ~ ! [SY350: $i] :
~ ~ ( ~ ( in @ SY350 @ SV102 )
| ~ ( SV55 @ SY350 @ SV201 ) ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1480,plain,
! [SV153: $i,SV201: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ~ ! [SY351: $i] :
~ ~ ( ~ ( in @ SY351 @ SV102 )
| ~ ( SV55 @ SY351 @ SV201 ) ) )
= $false )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1481,plain,
! [SV153: $i,SV195: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ! [SY348: $i] :
~ ~ ( ~ ( in @ SY348 @ SV102 )
| ~ ( SV55 @ SY348 @ SV195 ) ) )
= $false )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1461]) ).
thf(1482,plain,
! [SV153: $i,SV195: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ! [SY349: $i] :
~ ~ ( ~ ( in @ SY349 @ SV102 )
| ~ ( SV55 @ SY349 @ SV195 ) ) )
= $true )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1462]) ).
thf(1483,plain,
! [SV60: $i > $o,SV182: $i,SV109: $i > $o] :
( ( ( ~ ~ ( ~ ( SV109 @ ( sK70_SY248 @ SV182 @ SV60 @ SV109 ) )
| ~ ! [SY373: $i] :
( ~ ( SV109 @ SY373 )
| ( ( sK70_SY248 @ SV182 @ SV60 @ SV109 )
= SY373 ) ) ) )
= $false )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60 @ ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1463]) ).
thf(1484,plain,
! [SV60: $i > $o,SV182: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK66_SY248 @ SV182 @ SV60 @ SV109 ) )
| ~ ! [SY368: $i] :
( ~ ( SV109 @ SY368 )
| ( ( sK66_SY248 @ SV182 @ SV60 @ SV109 )
= SY368 ) ) ) )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1464]) ).
thf(1485,plain,
! [SV109: $i > $o,SV183: $i,SV60: $i > $o] :
( ( ( ~ ~ ( ~ ( SV60 @ ( sK71_SY157 @ SV183 @ SV109 @ SV60 ) )
| ~ ! [SY374: $i] :
( ~ ( SV60 @ SY374 )
| ( ( sK71_SY157 @ SV183 @ SV109 @ SV60 )
= SY374 ) ) ) )
= $false )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109 @ ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1465]) ).
thf(1486,plain,
! [SV109: $i > $o,SV183: $i,SV60: $i > $o] :
( ( ( ~ ( ~ ( SV60 @ ( sK67_SY157 @ SV183 @ SV109 @ SV60 ) )
| ~ ! [SY369: $i] :
( ~ ( SV60 @ SY369 )
| ( ( sK67_SY157 @ SV183 @ SV109 @ SV60 )
= SY369 ) ) ) )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1466]) ).
thf(1487,plain,
! [SV109: $i > $o,SV212: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV212 ) )
= $true )
| ( ( ~ ! [SY362: $i] :
( ~ ( SV60 @ SY362 )
| ( SV212 = SY362 ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1467]) ).
thf(1488,plain,
! [SV60: $i > $o,SV213: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV213 ) )
= $true )
| ( ( ~ ! [SY363: $i] :
( ~ ( SV109 @ SY363 )
| ( SV213 = SY363 ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1468]) ).
thf(1493,plain,
! [SV109: $i > $o,SV202: $i,SV60: $i > $o] :
( ( ( ! [SY352: $i] :
( ~ ( SV60 @ SY352 )
| ( SV202 = SY352 ) ) )
= $false )
| ( ( SV60 @ SV202 )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1473]) ).
thf(1494,plain,
! [SV60: $i > $o,SV203: $i,SV109: $i > $o] :
( ( ( ! [SY353: $i] :
( ~ ( SV109 @ SY353 )
| ( SV203 = SY353 ) ) )
= $false )
| ( ( SV109 @ SV203 )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1474]) ).
thf(1495,plain,
! [SV64: $i,SV178: $i,SV184: $i] :
( ( ( ~ ( in @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) @ ( sK3_SY166 @ SV64 ) ) )
= $false )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1475]) ).
thf(1496,plain,
! [SV64: $i,SV184: $i,SV178: $i] :
( ( ( ~ ( ~ ( ~ ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
| ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) )
| ~ ( ~ ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
| ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) ) ) )
= $false )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1475]) ).
thf(1497,plain,
! [SV64: $i,SV204: $i,SV162: $i,SV167: $i,SV214: $i] :
( ( ( in @ SV214 @ SV167 )
= $false )
| ( ( in @ SV214 @ SV162 )
= $true )
| ( ( in @ SV204 @ SV167 )
= $true )
| ( ( in @ SV204 @ SV162 )
= $false )
| ( ( in @ SV162 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ SV167 @ ( sK3_SY166 @ SV64 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1476]) ).
thf(1498,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV156 ) )
| ~ ~ ~ ! [SY365: $i] :
~ ~ ( ~ ( in @ SY365 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SY365 @ SV156 ) ) )
| ~ ! [SY376: $i] :
( ~ ( in @ SY376 @ ( sK3_SY166 @ SV64 ) )
| ! [SY367: $i] :
( ~ ( in @ SY367 @ SY376 )
| ( in @ SY367 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) ) )
| ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SY376 ) ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1477]) ).
thf(1499,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV156 ) )
| ~ ~ ~ ! [SY359: $i] :
~ ~ ( ~ ( in @ SY359 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SY359 @ SV156 ) ) )
| ~ ! [SY371: $i] :
( ~ ( in @ SY371 @ ( sK3_SY166 @ SV64 ) )
| ! [SY361: $i] :
( ~ ( in @ SY361 @ SY371 )
| ( in @ SY361 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) ) )
| ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SY371 ) ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1478]) ).
thf(1500,plain,
! [SV153: $i,SV201: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ! [SY350: $i] :
~ ~ ( ~ ( in @ SY350 @ SV102 )
| ~ ( SV55 @ SY350 @ SV201 ) ) )
= $false )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1479]) ).
thf(1501,plain,
! [SV153: $i,SV201: $i,SV55: $i > $i > $o,SV102: $i] :
( ( ( ! [SY351: $i] :
~ ~ ( ~ ( in @ SY351 @ SV102 )
| ~ ( SV55 @ SY351 @ SV201 ) ) )
= $true )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1480]) ).
thf(1502,plain,
! [SV102: $i,SV55: $i > $i > $o,SV195: $i,SV153: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK73_SY348 @ SV153 @ SV195 @ SV55 @ SV102 ) @ SV102 )
| ~ ( SV55 @ ( sK73_SY348 @ SV153 @ SV195 @ SV55 @ SV102 ) @ SV195 ) ) )
= $false )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1481]) ).
thf(1503,plain,
! [SV153: $i,SV195: $i,SV55: $i > $i > $o,SV102: $i,SV215: $i] :
( ( ( ~ ~ ( ~ ( in @ SV215 @ SV102 )
| ~ ( SV55 @ SV215 @ SV195 ) ) )
= $true )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(1504,plain,
! [SV60: $i > $o,SV182: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK70_SY248 @ SV182 @ SV60 @ SV109 ) )
| ~ ! [SY373: $i] :
( ~ ( SV109 @ SY373 )
| ( ( sK70_SY248 @ SV182 @ SV60 @ SV109 )
= SY373 ) ) ) )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60 @ ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1483]) ).
thf(1505,plain,
! [SV60: $i > $o,SV182: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK66_SY248 @ SV182 @ SV60 @ SV109 ) )
| ~ ! [SY368: $i] :
( ~ ( SV109 @ SY368 )
| ( ( sK66_SY248 @ SV182 @ SV60 @ SV109 )
= SY368 ) ) )
= $false )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1484]) ).
thf(1506,plain,
! [SV109: $i > $o,SV183: $i,SV60: $i > $o] :
( ( ( ~ ( ~ ( SV60 @ ( sK71_SY157 @ SV183 @ SV109 @ SV60 ) )
| ~ ! [SY374: $i] :
( ~ ( SV60 @ SY374 )
| ( ( sK71_SY157 @ SV183 @ SV109 @ SV60 )
= SY374 ) ) ) )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109 @ ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1485]) ).
thf(1507,plain,
! [SV109: $i > $o,SV183: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK67_SY157 @ SV183 @ SV109 @ SV60 ) )
| ~ ! [SY369: $i] :
( ~ ( SV60 @ SY369 )
| ( ( sK67_SY157 @ SV183 @ SV109 @ SV60 )
= SY369 ) ) )
= $false )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1486]) ).
thf(1508,plain,
! [SV109: $i > $o,SV212: $i,SV60: $i > $o] :
( ( ( SV60 @ SV212 )
= $false )
| ( ( ~ ! [SY362: $i] :
( ~ ( SV60 @ SY362 )
| ( SV212 = SY362 ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1509,plain,
! [SV60: $i > $o,SV213: $i,SV109: $i > $o] :
( ( ( SV109 @ SV213 )
= $false )
| ( ( ~ ! [SY363: $i] :
( ~ ( SV109 @ SY363 )
| ( SV213 = SY363 ) ) )
= $true )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1488]) ).
thf(1514,plain,
! [SV202: $i,SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
| ( SV202
= ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) ) )
= $false )
| ( ( SV60 @ SV202 )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1493]) ).
thf(1515,plain,
! [SV203: $i,SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
| ( SV203
= ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) ) )
= $false )
| ( ( SV109 @ SV203 )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1494]) ).
thf(1516,plain,
! [SV64: $i,SV178: $i,SV184: $i] :
( ( ( in @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
= $true )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1495]) ).
thf(1517,plain,
! [SV64: $i,SV184: $i,SV178: $i] :
( ( ( ~ ( ~ ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
| ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) )
| ~ ( ~ ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
| ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) ) )
= $true )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1496]) ).
thf(1518,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV156 ) )
| ~ ~ ~ ! [SY365: $i] :
~ ~ ( ~ ( in @ SY365 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SY365 @ SV156 ) ) )
| ~ ! [SY376: $i] :
( ~ ( in @ SY376 @ ( sK3_SY166 @ SV64 ) )
| ! [SY367: $i] :
( ~ ( in @ SY367 @ SY376 )
| ( in @ SY367 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) ) )
| ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SY376 ) ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1498]) ).
thf(1519,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV156 ) )
| ~ ~ ~ ! [SY359: $i] :
~ ~ ( ~ ( in @ SY359 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SY359 @ SV156 ) ) )
| ~ ! [SY371: $i] :
( ~ ( in @ SY371 @ ( sK3_SY166 @ SV64 ) )
| ! [SY361: $i] :
( ~ ( in @ SY361 @ SY371 )
| ( in @ SY361 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) ) )
| ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SY371 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1499]) ).
thf(1520,plain,
! [SV102: $i,SV55: $i > $i > $o,SV201: $i,SV153: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK76_SY350 @ SV153 @ SV201 @ SV55 @ SV102 ) @ SV102 )
| ~ ( SV55 @ ( sK76_SY350 @ SV153 @ SV201 @ SV55 @ SV102 ) @ SV201 ) ) )
= $false )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1500]) ).
thf(1521,plain,
! [SV153: $i,SV201: $i,SV55: $i > $i > $o,SV102: $i,SV216: $i] :
( ( ( ~ ~ ( ~ ( in @ SV216 @ SV102 )
| ~ ( SV55 @ SV216 @ SV201 ) ) )
= $true )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(1522,plain,
! [SV102: $i,SV55: $i > $i > $o,SV195: $i,SV153: $i] :
( ( ( ~ ( ~ ( in @ ( sK73_SY348 @ SV153 @ SV195 @ SV55 @ SV102 ) @ SV102 )
| ~ ( SV55 @ ( sK73_SY348 @ SV153 @ SV195 @ SV55 @ SV102 ) @ SV195 ) ) )
= $true )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1502]) ).
thf(1523,plain,
! [SV153: $i,SV195: $i,SV55: $i > $i > $o,SV102: $i,SV215: $i] :
( ( ( ~ ( ~ ( in @ SV215 @ SV102 )
| ~ ( SV55 @ SV215 @ SV195 ) ) )
= $false )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1503]) ).
thf(1524,plain,
! [SV60: $i > $o,SV182: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK70_SY248 @ SV182 @ SV60 @ SV109 ) )
| ~ ! [SY373: $i] :
( ~ ( SV109 @ SY373 )
| ( ( sK70_SY248 @ SV182 @ SV60 @ SV109 )
= SY373 ) ) )
= $false )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60 @ ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1504]) ).
thf(1525,plain,
! [SV60: $i > $o,SV182: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK66_SY248 @ SV182 @ SV60 @ SV109 ) ) )
= $false )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1505]) ).
thf(1526,plain,
! [SV60: $i > $o,SV182: $i,SV109: $i > $o] :
( ( ( ~ ! [SY368: $i] :
( ~ ( SV109 @ SY368 )
| ( ( sK66_SY248 @ SV182 @ SV60 @ SV109 )
= SY368 ) ) )
= $false )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1505]) ).
thf(1527,plain,
! [SV109: $i > $o,SV183: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK71_SY157 @ SV183 @ SV109 @ SV60 ) )
| ~ ! [SY374: $i] :
( ~ ( SV60 @ SY374 )
| ( ( sK71_SY157 @ SV183 @ SV109 @ SV60 )
= SY374 ) ) )
= $false )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109 @ ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1506]) ).
thf(1528,plain,
! [SV109: $i > $o,SV183: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK67_SY157 @ SV183 @ SV109 @ SV60 ) ) )
= $false )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1529,plain,
! [SV109: $i > $o,SV183: $i,SV60: $i > $o] :
( ( ( ~ ! [SY369: $i] :
( ~ ( SV60 @ SY369 )
| ( ( sK67_SY157 @ SV183 @ SV109 @ SV60 )
= SY369 ) ) )
= $false )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1530,plain,
! [SV109: $i > $o,SV212: $i,SV60: $i > $o] :
( ( ( ! [SY362: $i] :
( ~ ( SV60 @ SY362 )
| ( SV212 = SY362 ) ) )
= $false )
| ( ( SV60 @ SV212 )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1508]) ).
thf(1531,plain,
! [SV60: $i > $o,SV213: $i,SV109: $i > $o] :
( ( ( ! [SY363: $i] :
( ~ ( SV109 @ SY363 )
| ( SV213 = SY363 ) ) )
= $false )
| ( ( SV109 @ SV213 )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1509]) ).
thf(1536,plain,
! [SV202: $i,SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) ) )
= $false )
| ( ( SV60 @ SV202 )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1514]) ).
thf(1537,plain,
! [SV60: $i > $o,SV109: $i > $o,SV202: $i] :
( ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $false )
| ( ( SV60 @ SV202 )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1514]) ).
thf(1538,plain,
! [SV203: $i,SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) ) )
= $false )
| ( ( SV109 @ SV203 )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1515]) ).
thf(1539,plain,
! [SV109: $i > $o,SV60: $i > $o,SV203: $i] :
( ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $false )
| ( ( SV109 @ SV203 )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1515]) ).
thf(1540,plain,
! [SV64: $i,SV184: $i,SV178: $i] :
( ( ( ~ ( ~ ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
| ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) ) )
= $true )
| ( ( ~ ( ~ ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
| ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) ) )
= $true )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1517]) ).
thf(1541,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV156 ) )
| ~ ~ ~ ! [SY365: $i] :
~ ~ ( ~ ( in @ SY365 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SY365 @ SV156 ) ) )
| ~ ! [SY376: $i] :
( ~ ( in @ SY376 @ ( sK3_SY166 @ SV64 ) )
| ! [SY367: $i] :
( ~ ( in @ SY367 @ SY376 )
| ( in @ SY367 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) ) )
| ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SY376 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1542,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV156 ) )
| ~ ~ ~ ! [SY359: $i] :
~ ~ ( ~ ( in @ SY359 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SY359 @ SV156 ) ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1519]) ).
thf(1543,plain,
! [SV156: $i,SV190: $i,SV64: $i] :
( ( ( ~ ! [SY371: $i] :
( ~ ( in @ SY371 @ ( sK3_SY166 @ SV64 ) )
| ! [SY361: $i] :
( ~ ( in @ SY361 @ SY371 )
| ( in @ SY361 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) ) )
| ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SY371 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1519]) ).
thf(1544,plain,
! [SV102: $i,SV55: $i > $i > $o,SV201: $i,SV153: $i] :
( ( ( ~ ( ~ ( in @ ( sK76_SY350 @ SV153 @ SV201 @ SV55 @ SV102 ) @ SV102 )
| ~ ( SV55 @ ( sK76_SY350 @ SV153 @ SV201 @ SV55 @ SV102 ) @ SV201 ) ) )
= $true )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1520]) ).
thf(1545,plain,
! [SV153: $i,SV201: $i,SV55: $i > $i > $o,SV102: $i,SV216: $i] :
( ( ( ~ ( ~ ( in @ SV216 @ SV102 )
| ~ ( SV55 @ SV216 @ SV201 ) ) )
= $false )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1521]) ).
thf(1546,plain,
! [SV102: $i,SV55: $i > $i > $o,SV195: $i,SV153: $i] :
( ( ( ~ ( in @ ( sK73_SY348 @ SV153 @ SV195 @ SV55 @ SV102 ) @ SV102 )
| ~ ( SV55 @ ( sK73_SY348 @ SV153 @ SV195 @ SV55 @ SV102 ) @ SV195 ) )
= $false )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1522]) ).
thf(1547,plain,
! [SV153: $i,SV195: $i,SV55: $i > $i > $o,SV102: $i,SV215: $i] :
( ( ( ~ ( in @ SV215 @ SV102 )
| ~ ( SV55 @ SV215 @ SV195 ) )
= $true )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1523]) ).
thf(1548,plain,
! [SV60: $i > $o,SV182: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK70_SY248 @ SV182 @ SV60 @ SV109 ) ) )
= $false )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60 @ ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1524]) ).
thf(1549,plain,
! [SV60: $i > $o,SV182: $i,SV109: $i > $o] :
( ( ( ~ ! [SY373: $i] :
( ~ ( SV109 @ SY373 )
| ( ( sK70_SY248 @ SV182 @ SV60 @ SV109 )
= SY373 ) ) )
= $false )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60 @ ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1524]) ).
thf(1550,plain,
! [SV60: $i > $o,SV182: $i,SV109: $i > $o] :
( ( ( SV109 @ ( sK66_SY248 @ SV182 @ SV60 @ SV109 ) )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1525]) ).
thf(1551,plain,
! [SV60: $i > $o,SV182: $i,SV109: $i > $o] :
( ( ( ! [SY368: $i] :
( ~ ( SV109 @ SY368 )
| ( ( sK66_SY248 @ SV182 @ SV60 @ SV109 )
= SY368 ) ) )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1526]) ).
thf(1552,plain,
! [SV109: $i > $o,SV183: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK71_SY157 @ SV183 @ SV109 @ SV60 ) ) )
= $false )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109 @ ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1527]) ).
thf(1553,plain,
! [SV109: $i > $o,SV183: $i,SV60: $i > $o] :
( ( ( ~ ! [SY374: $i] :
( ~ ( SV60 @ SY374 )
| ( ( sK71_SY157 @ SV183 @ SV109 @ SV60 )
= SY374 ) ) )
= $false )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109 @ ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1527]) ).
thf(1554,plain,
! [SV109: $i > $o,SV183: $i,SV60: $i > $o] :
( ( ( SV60 @ ( sK67_SY157 @ SV183 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1528]) ).
thf(1555,plain,
! [SV109: $i > $o,SV183: $i,SV60: $i > $o] :
( ( ( ! [SY369: $i] :
( ~ ( SV60 @ SY369 )
| ( ( sK67_SY157 @ SV183 @ SV109 @ SV60 )
= SY369 ) ) )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1529]) ).
thf(1556,plain,
! [SV212: $i,SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
| ( SV212
= ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) ) )
= $false )
| ( ( SV60 @ SV212 )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1530]) ).
thf(1557,plain,
! [SV213: $i,SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
| ( SV213
= ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) ) )
= $false )
| ( ( SV109 @ SV213 )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1531]) ).
thf(1566,plain,
! [SV202: $i,SV109: $i > $o,SV60: $i > $o] :
( ( ( SV60 @ ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1536]) ).
thf(1567,plain,
! [SV202: $i,SV60: $i > $o,SV109: $i > $o] :
( ( ( ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $false )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1537]) ).
thf(1568,plain,
! [SV203: $i,SV60: $i > $o,SV109: $i > $o] :
( ( ( SV109 @ ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1538]) ).
thf(1569,plain,
! [SV203: $i,SV109: $i > $o,SV60: $i > $o] :
( ( ( ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $false )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1539]) ).
thf(1570,plain,
! [SV64: $i,SV184: $i,SV178: $i] :
( ( ( ~ ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
| ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) )
= $false )
| ( ( ~ ( ~ ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
| ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) ) )
= $true )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1571,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV156 ) )
| ~ ~ ~ ! [SY365: $i] :
~ ~ ( ~ ( in @ SY365 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SY365 @ SV156 ) ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1541]) ).
thf(1572,plain,
! [SV156: $i,SV196: $i,SV64: $i] :
( ( ( ~ ! [SY376: $i] :
( ~ ( in @ SY376 @ ( sK3_SY166 @ SV64 ) )
| ! [SY367: $i] :
( ~ ( in @ SY367 @ SY376 )
| ( in @ SY367 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) ) )
| ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SY376 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1541]) ).
thf(1573,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV156 ) )
| ~ ~ ~ ! [SY359: $i] :
~ ~ ( ~ ( in @ SY359 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SY359 @ SV156 ) ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1574,plain,
! [SV156: $i,SV190: $i,SV64: $i] :
( ( ( ! [SY371: $i] :
( ~ ( in @ SY371 @ ( sK3_SY166 @ SV64 ) )
| ! [SY361: $i] :
( ~ ( in @ SY361 @ SY371 )
| ( in @ SY361 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) ) )
| ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SY371 ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1543]) ).
thf(1575,plain,
! [SV102: $i,SV55: $i > $i > $o,SV201: $i,SV153: $i] :
( ( ( ~ ( in @ ( sK76_SY350 @ SV153 @ SV201 @ SV55 @ SV102 ) @ SV102 )
| ~ ( SV55 @ ( sK76_SY350 @ SV153 @ SV201 @ SV55 @ SV102 ) @ SV201 ) )
= $false )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1544]) ).
thf(1576,plain,
! [SV153: $i,SV201: $i,SV55: $i > $i > $o,SV102: $i,SV216: $i] :
( ( ( ~ ( in @ SV216 @ SV102 )
| ~ ( SV55 @ SV216 @ SV201 ) )
= $true )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1545]) ).
thf(1577,plain,
! [SV102: $i,SV55: $i > $i > $o,SV195: $i,SV153: $i] :
( ( ( ~ ( in @ ( sK73_SY348 @ SV153 @ SV195 @ SV55 @ SV102 ) @ SV102 ) )
= $false )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1546]) ).
thf(1578,plain,
! [SV102: $i,SV195: $i,SV153: $i,SV55: $i > $i > $o] :
( ( ( ~ ( SV55 @ ( sK73_SY348 @ SV153 @ SV195 @ SV55 @ SV102 ) @ SV195 ) )
= $false )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1546]) ).
thf(1579,plain,
! [SV153: $i,SV195: $i,SV55: $i > $i > $o,SV102: $i,SV215: $i] :
( ( ( ~ ( in @ SV215 @ SV102 ) )
= $true )
| ( ( ~ ( SV55 @ SV215 @ SV195 ) )
= $true )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1547]) ).
thf(1580,plain,
! [SV60: $i > $o,SV182: $i,SV109: $i > $o] :
( ( ( SV109 @ ( sK70_SY248 @ SV182 @ SV60 @ SV109 ) )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60 @ ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1548]) ).
thf(1581,plain,
! [SV60: $i > $o,SV182: $i,SV109: $i > $o] :
( ( ( ! [SY373: $i] :
( ~ ( SV109 @ SY373 )
| ( ( sK70_SY248 @ SV182 @ SV60 @ SV109 )
= SY373 ) ) )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60 @ ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1549]) ).
thf(1582,plain,
! [SV60: $i > $o,SV182: $i,SV217: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV217 )
| ( ( sK66_SY248 @ SV182 @ SV60 @ SV109 )
= SV217 ) )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1551]) ).
thf(1583,plain,
! [SV109: $i > $o,SV183: $i,SV60: $i > $o] :
( ( ( SV60 @ ( sK71_SY157 @ SV183 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109 @ ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1552]) ).
thf(1584,plain,
! [SV109: $i > $o,SV183: $i,SV60: $i > $o] :
( ( ( ! [SY374: $i] :
( ~ ( SV60 @ SY374 )
| ( ( sK71_SY157 @ SV183 @ SV109 @ SV60 )
= SY374 ) ) )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109 @ ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1553]) ).
thf(1585,plain,
! [SV109: $i > $o,SV183: $i,SV218: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV218 )
| ( ( sK67_SY157 @ SV183 @ SV109 @ SV60 )
= SV218 ) )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1555]) ).
thf(1586,plain,
! [SV212: $i,SV109: $i > $o,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) ) )
= $false )
| ( ( SV60 @ SV212 )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1556]) ).
thf(1587,plain,
! [SV60: $i > $o,SV109: $i > $o,SV212: $i] :
( ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $false )
| ( ( SV60 @ SV212 )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1556]) ).
thf(1588,plain,
! [SV213: $i,SV60: $i > $o,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) ) )
= $false )
| ( ( SV109 @ SV213 )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1557]) ).
thf(1589,plain,
! [SV109: $i > $o,SV60: $i > $o,SV213: $i] :
( ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $false )
| ( ( SV109 @ SV213 )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1557]) ).
thf(1598,plain,
! [SV202: $i,SV60: $i > $o,SV109: $i > $o] :
( ( ( ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $false )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60 @ ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1599,plain,
! [SV60: $i > $o,SV202: $i,SV109: $i > $o] :
( ( ( ~ ~ ( ~ ( SV109 @ ( sK83_SY248 @ SV202 @ SV60 @ SV109 ) )
| ~ ! [SY378: $i] :
( ~ ( SV109 @ SY378 )
| ( ( sK83_SY248 @ SV202 @ SV60 @ SV109 )
= SY378 ) ) ) )
= $false )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1567]) ).
thf(1600,plain,
! [SV203: $i,SV109: $i > $o,SV60: $i > $o] :
( ( ( ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $false )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109 @ ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1601,plain,
! [SV109: $i > $o,SV203: $i,SV60: $i > $o] :
( ( ( ~ ~ ( ~ ( SV60 @ ( sK84_SY157 @ SV203 @ SV109 @ SV60 ) )
| ~ ! [SY379: $i] :
( ~ ( SV60 @ SY379 )
| ( ( sK84_SY157 @ SV203 @ SV109 @ SV60 )
= SY379 ) ) ) )
= $false )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1569]) ).
thf(1602,plain,
! [SV64: $i,SV184: $i,SV178: $i] :
( ( ( ~ ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) )
= $false )
| ( ( ~ ( ~ ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
| ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) ) )
= $true )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1570]) ).
thf(1603,plain,
! [SV64: $i,SV178: $i,SV184: $i] :
( ( ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
= $false )
| ( ( ~ ( ~ ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
| ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) ) )
= $true )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1570]) ).
thf(1604,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV156 ) )
| ~ ~ ~ ! [SY365: $i] :
~ ~ ( ~ ( in @ SY365 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SY365 @ SV156 ) ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1571]) ).
thf(1605,plain,
! [SV156: $i,SV196: $i,SV64: $i] :
( ( ( ! [SY376: $i] :
( ~ ( in @ SY376 @ ( sK3_SY166 @ SV64 ) )
| ! [SY367: $i] :
( ~ ( in @ SY367 @ SY376 )
| ( in @ SY367 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) ) )
| ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SY376 ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1572]) ).
thf(1606,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV156 ) )
| ~ ~ ~ ! [SY359: $i] :
~ ~ ( ~ ( in @ SY359 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SY359 @ SV156 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1573]) ).
thf(1607,plain,
! [SV156: $i,SV190: $i,SV64: $i,SV219: $i] :
( ( ( ~ ( in @ SV219 @ ( sK3_SY166 @ SV64 ) )
| ! [SY380: $i] :
( ~ ( in @ SY380 @ SV219 )
| ( in @ SY380 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) ) )
| ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV219 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1574]) ).
thf(1608,plain,
! [SV102: $i,SV55: $i > $i > $o,SV201: $i,SV153: $i] :
( ( ( ~ ( in @ ( sK76_SY350 @ SV153 @ SV201 @ SV55 @ SV102 ) @ SV102 ) )
= $false )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1575]) ).
thf(1609,plain,
! [SV102: $i,SV201: $i,SV153: $i,SV55: $i > $i > $o] :
( ( ( ~ ( SV55 @ ( sK76_SY350 @ SV153 @ SV201 @ SV55 @ SV102 ) @ SV201 ) )
= $false )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1575]) ).
thf(1610,plain,
! [SV153: $i,SV201: $i,SV55: $i > $i > $o,SV102: $i,SV216: $i] :
( ( ( ~ ( in @ SV216 @ SV102 ) )
= $true )
| ( ( ~ ( SV55 @ SV216 @ SV201 ) )
= $true )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1576]) ).
thf(1611,plain,
! [SV102: $i,SV55: $i > $i > $o,SV195: $i,SV153: $i] :
( ( ( in @ ( sK73_SY348 @ SV153 @ SV195 @ SV55 @ SV102 ) @ SV102 )
= $true )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1577]) ).
thf(1612,plain,
! [SV102: $i,SV195: $i,SV153: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ ( sK73_SY348 @ SV153 @ SV195 @ SV55 @ SV102 ) @ SV195 )
= $true )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1578]) ).
thf(1613,plain,
! [SV153: $i,SV195: $i,SV55: $i > $i > $o,SV102: $i,SV215: $i] :
( ( ( in @ SV215 @ SV102 )
= $false )
| ( ( ~ ( SV55 @ SV215 @ SV195 ) )
= $true )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1579]) ).
thf(1614,plain,
! [SV60: $i > $o,SV182: $i,SV220: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV220 )
| ( ( sK70_SY248 @ SV182 @ SV60 @ SV109 )
= SV220 ) )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60 @ ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1581]) ).
thf(1615,plain,
! [SV60: $i > $o,SV182: $i,SV217: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV217 ) )
= $true )
| ( ( ( sK66_SY248 @ SV182 @ SV60 @ SV109 )
= SV217 )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1582]) ).
thf(1616,plain,
! [SV109: $i > $o,SV183: $i,SV221: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV221 )
| ( ( sK71_SY157 @ SV183 @ SV109 @ SV60 )
= SV221 ) )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109 @ ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1584]) ).
thf(1617,plain,
! [SV109: $i > $o,SV183: $i,SV218: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV218 ) )
= $true )
| ( ( ( sK67_SY157 @ SV183 @ SV109 @ SV60 )
= SV218 )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1585]) ).
thf(1618,plain,
! [SV212: $i,SV109: $i > $o,SV60: $i > $o] :
( ( ( SV60 @ ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1586]) ).
thf(1619,plain,
! [SV212: $i,SV60: $i > $o,SV109: $i > $o] :
( ( ( ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $false )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1587]) ).
thf(1620,plain,
! [SV213: $i,SV60: $i > $o,SV109: $i > $o] :
( ( ( SV109 @ ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1588]) ).
thf(1621,plain,
! [SV213: $i,SV109: $i > $o,SV60: $i > $o] :
( ( ( ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $false )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1589]) ).
thf(1630,plain,
! [SV60: $i > $o,SV202: $i,SV109: $i > $o] :
( ( ( ~ ~ ( ~ ( SV109 @ ( sK89_SY248 @ SV202 @ SV60 @ SV109 ) )
| ~ ! [SY385: $i] :
( ~ ( SV109 @ SY385 )
| ( ( sK89_SY248 @ SV202 @ SV60 @ SV109 )
= SY385 ) ) ) )
= $false )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60 @ ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1598]) ).
thf(1631,plain,
! [SV60: $i > $o,SV202: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK83_SY248 @ SV202 @ SV60 @ SV109 ) )
| ~ ! [SY378: $i] :
( ~ ( SV109 @ SY378 )
| ( ( sK83_SY248 @ SV202 @ SV60 @ SV109 )
= SY378 ) ) ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1599]) ).
thf(1632,plain,
! [SV109: $i > $o,SV203: $i,SV60: $i > $o] :
( ( ( ~ ~ ( ~ ( SV60 @ ( sK90_SY157 @ SV203 @ SV109 @ SV60 ) )
| ~ ! [SY386: $i] :
( ~ ( SV60 @ SY386 )
| ( ( sK90_SY157 @ SV203 @ SV109 @ SV60 )
= SY386 ) ) ) )
= $false )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109 @ ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1600]) ).
thf(1633,plain,
! [SV109: $i > $o,SV203: $i,SV60: $i > $o] :
( ( ( ~ ( ~ ( SV60 @ ( sK84_SY157 @ SV203 @ SV109 @ SV60 ) )
| ~ ! [SY379: $i] :
( ~ ( SV60 @ SY379 )
| ( ( sK84_SY157 @ SV203 @ SV109 @ SV60 )
= SY379 ) ) ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1601]) ).
thf(1634,plain,
! [SV64: $i,SV184: $i,SV178: $i] :
( ( ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
= $true )
| ( ( ~ ( ~ ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
| ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) ) )
= $true )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1602]) ).
thf(1635,plain,
! [SV64: $i,SV178: $i,SV184: $i] :
( ( ( ~ ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
| ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) )
= $false )
| ( ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
= $false )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1603]) ).
thf(1636,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV156 ) )
| ~ ~ ~ ! [SY365: $i] :
~ ~ ( ~ ( in @ SY365 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SY365 @ SV156 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1604]) ).
thf(1637,plain,
! [SV156: $i,SV196: $i,SV64: $i,SV222: $i] :
( ( ( ~ ( in @ SV222 @ ( sK3_SY166 @ SV64 ) )
| ! [SY387: $i] :
( ~ ( in @ SY387 @ SV222 )
| ( in @ SY387 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) ) )
| ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV222 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1605]) ).
thf(1638,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV156 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1639,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ~ ~ ! [SY359: $i] :
~ ~ ( ~ ( in @ SY359 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SY359 @ SV156 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1640,plain,
! [SV156: $i,SV190: $i,SV64: $i,SV219: $i] :
( ( ( ~ ( in @ SV219 @ ( sK3_SY166 @ SV64 ) ) )
= $true )
| ( ( ! [SY380: $i] :
( ~ ( in @ SY380 @ SV219 )
| ( in @ SY380 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) ) )
| ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV219 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1607]) ).
thf(1641,plain,
! [SV102: $i,SV55: $i > $i > $o,SV201: $i,SV153: $i] :
( ( ( in @ ( sK76_SY350 @ SV153 @ SV201 @ SV55 @ SV102 ) @ SV102 )
= $true )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1608]) ).
thf(1642,plain,
! [SV102: $i,SV201: $i,SV153: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ ( sK76_SY350 @ SV153 @ SV201 @ SV55 @ SV102 ) @ SV201 )
= $true )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1609]) ).
thf(1643,plain,
! [SV153: $i,SV201: $i,SV55: $i > $i > $o,SV102: $i,SV216: $i] :
( ( ( in @ SV216 @ SV102 )
= $false )
| ( ( ~ ( SV55 @ SV216 @ SV201 ) )
= $true )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1610]) ).
thf(1644,plain,
! [SV153: $i,SV102: $i,SV195: $i,SV215: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV215 @ SV195 )
= $false )
| ( ( in @ SV215 @ SV102 )
= $false )
| ( ( in @ SV195 @ ( sK59_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1613]) ).
thf(1645,plain,
! [SV60: $i > $o,SV182: $i,SV220: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV220 ) )
= $true )
| ( ( ( sK70_SY248 @ SV182 @ SV60 @ SV109 )
= SV220 )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60 @ ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1614]) ).
thf(1646,plain,
! [SV60: $i > $o,SV182: $i,SV217: $i,SV109: $i > $o] :
( ( ( SV109 @ SV217 )
= $false )
| ( ( ( sK66_SY248 @ SV182 @ SV60 @ SV109 )
= SV217 )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1615]) ).
thf(1647,plain,
! [SV109: $i > $o,SV183: $i,SV221: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV221 ) )
= $true )
| ( ( ( sK71_SY157 @ SV183 @ SV109 @ SV60 )
= SV221 )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109 @ ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1616]) ).
thf(1648,plain,
! [SV109: $i > $o,SV183: $i,SV218: $i,SV60: $i > $o] :
( ( ( SV60 @ SV218 )
= $false )
| ( ( ( sK67_SY157 @ SV183 @ SV109 @ SV60 )
= SV218 )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1617]) ).
thf(1649,plain,
! [SV212: $i,SV60: $i > $o,SV109: $i > $o] :
( ( ( ! [SY248: $i] :
~ ~ ( ~ ( SV109 @ SY248 )
| ~ ! [SY249: $i] :
( ~ ( SV109 @ SY249 )
| ( SY248 = SY249 ) ) ) )
= $false )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60 @ ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1618]) ).
thf(1650,plain,
! [SV60: $i > $o,SV212: $i,SV109: $i > $o] :
( ( ( ~ ~ ( ~ ( SV109 @ ( sK91_SY248 @ SV212 @ SV60 @ SV109 ) )
| ~ ! [SY388: $i] :
( ~ ( SV109 @ SY388 )
| ( ( sK91_SY248 @ SV212 @ SV60 @ SV109 )
= SY388 ) ) ) )
= $false )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1619]) ).
thf(1651,plain,
! [SV213: $i,SV109: $i > $o,SV60: $i > $o] :
( ( ( ! [SY157: $i] :
~ ~ ( ~ ( SV60 @ SY157 )
| ~ ! [SY158: $i] :
( ~ ( SV60 @ SY158 )
| ( SY157 = SY158 ) ) ) )
= $false )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109 @ ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1620]) ).
thf(1652,plain,
! [SV109: $i > $o,SV213: $i,SV60: $i > $o] :
( ( ( ~ ~ ( ~ ( SV60 @ ( sK92_SY157 @ SV213 @ SV109 @ SV60 ) )
| ~ ! [SY389: $i] :
( ~ ( SV60 @ SY389 )
| ( ( sK92_SY157 @ SV213 @ SV109 @ SV60 )
= SY389 ) ) ) )
= $false )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1621]) ).
thf(1661,plain,
! [SV60: $i > $o,SV202: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK89_SY248 @ SV202 @ SV60 @ SV109 ) )
| ~ ! [SY385: $i] :
( ~ ( SV109 @ SY385 )
| ( ( sK89_SY248 @ SV202 @ SV60 @ SV109 )
= SY385 ) ) ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60 @ ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1630]) ).
thf(1662,plain,
! [SV60: $i > $o,SV202: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK83_SY248 @ SV202 @ SV60 @ SV109 ) )
| ~ ! [SY378: $i] :
( ~ ( SV109 @ SY378 )
| ( ( sK83_SY248 @ SV202 @ SV60 @ SV109 )
= SY378 ) ) )
= $false )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1631]) ).
thf(1663,plain,
! [SV109: $i > $o,SV203: $i,SV60: $i > $o] :
( ( ( ~ ( ~ ( SV60 @ ( sK90_SY157 @ SV203 @ SV109 @ SV60 ) )
| ~ ! [SY386: $i] :
( ~ ( SV60 @ SY386 )
| ( ( sK90_SY157 @ SV203 @ SV109 @ SV60 )
= SY386 ) ) ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109 @ ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1632]) ).
thf(1664,plain,
! [SV109: $i > $o,SV203: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK84_SY157 @ SV203 @ SV109 @ SV60 ) )
| ~ ! [SY379: $i] :
( ~ ( SV60 @ SY379 )
| ( ( sK84_SY157 @ SV203 @ SV109 @ SV60 )
= SY379 ) ) )
= $false )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1633]) ).
thf(1665,plain,
! [SV64: $i,SV178: $i,SV184: $i] :
( ( ( ~ ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
| ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) )
= $false )
| ( ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
= $true )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1634]) ).
thf(1667,plain,
! [SV64: $i,SV184: $i,SV178: $i] :
( ( ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
= $false )
| ( ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
= $false )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1635]) ).
thf(1668,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV156 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1669,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ~ ~ ! [SY365: $i] :
~ ~ ( ~ ( in @ SY365 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SY365 @ SV156 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1670,plain,
! [SV156: $i,SV196: $i,SV64: $i,SV222: $i] :
( ( ( ~ ( in @ SV222 @ ( sK3_SY166 @ SV64 ) ) )
= $true )
| ( ( ! [SY387: $i] :
( ~ ( in @ SY387 @ SV222 )
| ( in @ SY387 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) ) )
| ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV222 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1637]) ).
thf(1671,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ( ~ ( in @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV156 ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1638]) ).
thf(1672,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ~ ! [SY359: $i] :
~ ~ ( ~ ( in @ SY359 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SY359 @ SV156 ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1639]) ).
thf(1673,plain,
! [SV156: $i,SV190: $i,SV64: $i,SV219: $i] :
( ( ( in @ SV219 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( ! [SY380: $i] :
( ~ ( in @ SY380 @ SV219 )
| ( in @ SY380 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) ) )
| ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV219 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1640]) ).
thf(1674,plain,
! [SV153: $i,SV102: $i,SV201: $i,SV216: $i,SV55: $i > $i > $o] :
( ( ( SV55 @ SV216 @ SV201 )
= $false )
| ( ( in @ SV216 @ SV102 )
= $false )
| ( ( in @ SV201 @ ( sK61_SY238 @ SV153 @ SV55 @ SV102 ) )
= $true )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ SV153 )
= $false )
| ( ( SV55 @ ( sK10_SY235 @ SV55 @ SV102 ) @ ( sK47_SY298 @ SV153 @ SV102 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1643]) ).
thf(1675,plain,
! [SV60: $i > $o,SV182: $i,SV220: $i,SV109: $i > $o] :
( ( ( SV109 @ SV220 )
= $false )
| ( ( ( sK70_SY248 @ SV182 @ SV60 @ SV109 )
= SV220 )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60 @ ( sK62_SY336 @ SV109 @ SV182 @ SV60 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1645]) ).
thf(1676,plain,
! [SV109: $i > $o,SV183: $i,SV221: $i,SV60: $i > $o] :
( ( ( SV60 @ SV221 )
= $false )
| ( ( ( sK71_SY157 @ SV183 @ SV109 @ SV60 )
= SV221 )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109 @ ( sK63_SY337 @ SV60 @ SV183 @ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109 @ SV60 )
= ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1647]) ).
thf(1677,plain,
! [SV60: $i > $o,SV212: $i,SV109: $i > $o] :
( ( ( ~ ~ ( ~ ( SV109 @ ( sK97_SY248 @ SV212 @ SV60 @ SV109 ) )
| ~ ! [SY394: $i] :
( ~ ( SV109 @ SY394 )
| ( ( sK97_SY248 @ SV212 @ SV60 @ SV109 )
= SY394 ) ) ) )
= $false )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60 @ ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1649]) ).
thf(1678,plain,
! [SV60: $i > $o,SV212: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK91_SY248 @ SV212 @ SV60 @ SV109 ) )
| ~ ! [SY388: $i] :
( ~ ( SV109 @ SY388 )
| ( ( sK91_SY248 @ SV212 @ SV60 @ SV109 )
= SY388 ) ) ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1650]) ).
thf(1679,plain,
! [SV109: $i > $o,SV213: $i,SV60: $i > $o] :
( ( ( ~ ~ ( ~ ( SV60 @ ( sK98_SY157 @ SV213 @ SV109 @ SV60 ) )
| ~ ! [SY395: $i] :
( ~ ( SV60 @ SY395 )
| ( ( sK98_SY157 @ SV213 @ SV109 @ SV60 )
= SY395 ) ) ) )
= $false )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109 @ ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1651]) ).
thf(1680,plain,
! [SV109: $i > $o,SV213: $i,SV60: $i > $o] :
( ( ( ~ ( ~ ( SV60 @ ( sK92_SY157 @ SV213 @ SV109 @ SV60 ) )
| ~ ! [SY389: $i] :
( ~ ( SV60 @ SY389 )
| ( ( sK92_SY157 @ SV213 @ SV109 @ SV60 )
= SY389 ) ) ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1652]) ).
thf(1689,plain,
! [SV60: $i > $o,SV202: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK89_SY248 @ SV202 @ SV60 @ SV109 ) )
| ~ ! [SY385: $i] :
( ~ ( SV109 @ SY385 )
| ( ( sK89_SY248 @ SV202 @ SV60 @ SV109 )
= SY385 ) ) )
= $false )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60 @ ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1661]) ).
thf(1690,plain,
! [SV60: $i > $o,SV202: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK83_SY248 @ SV202 @ SV60 @ SV109 ) ) )
= $false )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1662]) ).
thf(1691,plain,
! [SV60: $i > $o,SV202: $i,SV109: $i > $o] :
( ( ( ~ ! [SY378: $i] :
( ~ ( SV109 @ SY378 )
| ( ( sK83_SY248 @ SV202 @ SV60 @ SV109 )
= SY378 ) ) )
= $false )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1662]) ).
thf(1692,plain,
! [SV109: $i > $o,SV203: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK90_SY157 @ SV203 @ SV109 @ SV60 ) )
| ~ ! [SY386: $i] :
( ~ ( SV60 @ SY386 )
| ( ( sK90_SY157 @ SV203 @ SV109 @ SV60 )
= SY386 ) ) )
= $false )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109 @ ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1663]) ).
thf(1693,plain,
! [SV109: $i > $o,SV203: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK84_SY157 @ SV203 @ SV109 @ SV60 ) ) )
= $false )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1664]) ).
thf(1694,plain,
! [SV109: $i > $o,SV203: $i,SV60: $i > $o] :
( ( ( ~ ! [SY379: $i] :
( ~ ( SV60 @ SY379 )
| ( ( sK84_SY157 @ SV203 @ SV109 @ SV60 )
= SY379 ) ) )
= $false )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1664]) ).
thf(1695,plain,
! [SV64: $i,SV178: $i,SV184: $i] :
( ( ( ~ ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) ) )
= $false )
| ( ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
= $true )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1665]) ).
thf(1698,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ( ~ ( in @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV156 ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1668]) ).
thf(1699,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ~ ! [SY365: $i] :
~ ~ ( ~ ( in @ SY365 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SY365 @ SV156 ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1669]) ).
thf(1700,plain,
! [SV156: $i,SV196: $i,SV64: $i,SV222: $i] :
( ( ( in @ SV222 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( ! [SY387: $i] :
( ~ ( in @ SY387 @ SV222 )
| ( in @ SY387 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) ) )
| ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV222 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1670]) ).
thf(1701,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ( in @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV156 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1671]) ).
thf(1702,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ! [SY359: $i] :
~ ~ ( ~ ( in @ SY359 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SY359 @ SV156 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1672]) ).
thf(1703,plain,
! [SV64: $i,SV156: $i,SV190: $i,SV219: $i] :
( ( ( ! [SY380: $i] :
( ~ ( in @ SY380 @ SV219 )
| ( in @ SY380 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) ) ) )
= $true )
| ( ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV219 )
= $true )
| ( ( in @ SV219 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1673]) ).
thf(1704,plain,
! [SV60: $i > $o,SV212: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK97_SY248 @ SV212 @ SV60 @ SV109 ) )
| ~ ! [SY394: $i] :
( ~ ( SV109 @ SY394 )
| ( ( sK97_SY248 @ SV212 @ SV60 @ SV109 )
= SY394 ) ) ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60 @ ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1677]) ).
thf(1705,plain,
! [SV60: $i > $o,SV212: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK91_SY248 @ SV212 @ SV60 @ SV109 ) )
| ~ ! [SY388: $i] :
( ~ ( SV109 @ SY388 )
| ( ( sK91_SY248 @ SV212 @ SV60 @ SV109 )
= SY388 ) ) )
= $false )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1678]) ).
thf(1706,plain,
! [SV109: $i > $o,SV213: $i,SV60: $i > $o] :
( ( ( ~ ( ~ ( SV60 @ ( sK98_SY157 @ SV213 @ SV109 @ SV60 ) )
| ~ ! [SY395: $i] :
( ~ ( SV60 @ SY395 )
| ( ( sK98_SY157 @ SV213 @ SV109 @ SV60 )
= SY395 ) ) ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109 @ ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1679]) ).
thf(1707,plain,
! [SV109: $i > $o,SV213: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK92_SY157 @ SV213 @ SV109 @ SV60 ) )
| ~ ! [SY389: $i] :
( ~ ( SV60 @ SY389 )
| ( ( sK92_SY157 @ SV213 @ SV109 @ SV60 )
= SY389 ) ) )
= $false )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1680]) ).
thf(1720,plain,
! [SV60: $i > $o,SV202: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK89_SY248 @ SV202 @ SV60 @ SV109 ) ) )
= $false )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60 @ ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1689]) ).
thf(1721,plain,
! [SV60: $i > $o,SV202: $i,SV109: $i > $o] :
( ( ( ~ ! [SY385: $i] :
( ~ ( SV109 @ SY385 )
| ( ( sK89_SY248 @ SV202 @ SV60 @ SV109 )
= SY385 ) ) )
= $false )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60 @ ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1689]) ).
thf(1722,plain,
! [SV60: $i > $o,SV202: $i,SV109: $i > $o] :
( ( ( SV109 @ ( sK83_SY248 @ SV202 @ SV60 @ SV109 ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1690]) ).
thf(1723,plain,
! [SV60: $i > $o,SV202: $i,SV109: $i > $o] :
( ( ( ! [SY378: $i] :
( ~ ( SV109 @ SY378 )
| ( ( sK83_SY248 @ SV202 @ SV60 @ SV109 )
= SY378 ) ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1691]) ).
thf(1724,plain,
! [SV109: $i > $o,SV203: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK90_SY157 @ SV203 @ SV109 @ SV60 ) ) )
= $false )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109 @ ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1692]) ).
thf(1725,plain,
! [SV109: $i > $o,SV203: $i,SV60: $i > $o] :
( ( ( ~ ! [SY386: $i] :
( ~ ( SV60 @ SY386 )
| ( ( sK90_SY157 @ SV203 @ SV109 @ SV60 )
= SY386 ) ) )
= $false )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109 @ ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1692]) ).
thf(1726,plain,
! [SV109: $i > $o,SV203: $i,SV60: $i > $o] :
( ( ( SV60 @ ( sK84_SY157 @ SV203 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1693]) ).
thf(1727,plain,
! [SV109: $i > $o,SV203: $i,SV60: $i > $o] :
( ( ( ! [SY379: $i] :
( ~ ( SV60 @ SY379 )
| ( ( sK84_SY157 @ SV203 @ SV109 @ SV60 )
= SY379 ) ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1694]) ).
thf(1728,plain,
! [SV64: $i,SV178: $i,SV184: $i] :
( ( ( in @ SV184 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
= $true )
| ( ( in @ SV178 @ ( sK68_SY338 @ SV184 @ SV178 @ SV64 ) )
= $true )
| ( ( SV178 = SV184 )
= $true )
| ( ( in @ SV178 @ SV64 )
= $false )
| ( ( in @ SV184 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1695]) ).
thf(1729,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ( in @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
| ~ ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV156 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1698]) ).
thf(1730,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ! [SY365: $i] :
~ ~ ( ~ ( in @ SY365 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SY365 @ SV156 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1699]) ).
thf(1731,plain,
! [SV64: $i,SV156: $i,SV196: $i,SV222: $i] :
( ( ( ! [SY387: $i] :
( ~ ( in @ SY387 @ SV222 )
| ( in @ SY387 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) ) ) )
= $true )
| ( ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV222 )
= $true )
| ( ( in @ SV222 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1700]) ).
thf(1732,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ~ ( in @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1701]) ).
thf(1733,plain,
! [SV190: $i,SV156: $i,SV64: $i] :
( ( ( ~ ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV156 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1701]) ).
thf(1734,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( ! [SY359: $i] :
~ ~ ( ~ ( in @ SY359 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SY359 @ SV156 ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1702]) ).
thf(1735,plain,
! [SV64: $i,SV156: $i,SV190: $i,SV219: $i,SV223: $i] :
( ( ( ~ ( in @ SV223 @ SV219 )
| ( in @ SV223 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) ) )
= $true )
| ( ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV219 )
= $true )
| ( ( in @ SV219 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1703]) ).
thf(1736,plain,
! [SV60: $i > $o,SV212: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK97_SY248 @ SV212 @ SV60 @ SV109 ) )
| ~ ! [SY394: $i] :
( ~ ( SV109 @ SY394 )
| ( ( sK97_SY248 @ SV212 @ SV60 @ SV109 )
= SY394 ) ) )
= $false )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60 @ ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1704]) ).
thf(1737,plain,
! [SV60: $i > $o,SV212: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK91_SY248 @ SV212 @ SV60 @ SV109 ) ) )
= $false )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1705]) ).
thf(1738,plain,
! [SV60: $i > $o,SV212: $i,SV109: $i > $o] :
( ( ( ~ ! [SY388: $i] :
( ~ ( SV109 @ SY388 )
| ( ( sK91_SY248 @ SV212 @ SV60 @ SV109 )
= SY388 ) ) )
= $false )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1705]) ).
thf(1739,plain,
! [SV109: $i > $o,SV213: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK98_SY157 @ SV213 @ SV109 @ SV60 ) )
| ~ ! [SY395: $i] :
( ~ ( SV60 @ SY395 )
| ( ( sK98_SY157 @ SV213 @ SV109 @ SV60 )
= SY395 ) ) )
= $false )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109 @ ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1706]) ).
thf(1740,plain,
! [SV109: $i > $o,SV213: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK92_SY157 @ SV213 @ SV109 @ SV60 ) ) )
= $false )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1707]) ).
thf(1741,plain,
! [SV109: $i > $o,SV213: $i,SV60: $i > $o] :
( ( ( ~ ! [SY389: $i] :
( ~ ( SV60 @ SY389 )
| ( ( sK92_SY157 @ SV213 @ SV109 @ SV60 )
= SY389 ) ) )
= $false )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1707]) ).
thf(1758,plain,
! [SV60: $i > $o,SV202: $i,SV109: $i > $o] :
( ( ( SV109 @ ( sK89_SY248 @ SV202 @ SV60 @ SV109 ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60 @ ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1720]) ).
thf(1759,plain,
! [SV60: $i > $o,SV202: $i,SV109: $i > $o] :
( ( ( ! [SY385: $i] :
( ~ ( SV109 @ SY385 )
| ( ( sK89_SY248 @ SV202 @ SV60 @ SV109 )
= SY385 ) ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60 @ ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1721]) ).
thf(1760,plain,
! [SV60: $i > $o,SV202: $i,SV224: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV224 )
| ( ( sK83_SY248 @ SV202 @ SV60 @ SV109 )
= SV224 ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1723]) ).
thf(1761,plain,
! [SV109: $i > $o,SV203: $i,SV60: $i > $o] :
( ( ( SV60 @ ( sK90_SY157 @ SV203 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109 @ ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1724]) ).
thf(1762,plain,
! [SV109: $i > $o,SV203: $i,SV60: $i > $o] :
( ( ( ! [SY386: $i] :
( ~ ( SV60 @ SY386 )
| ( ( sK90_SY157 @ SV203 @ SV109 @ SV60 )
= SY386 ) ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109 @ ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1725]) ).
thf(1763,plain,
! [SV109: $i > $o,SV203: $i,SV225: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV225 )
| ( ( sK84_SY157 @ SV203 @ SV109 @ SV60 )
= SV225 ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1727]) ).
thf(1764,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ~ ( in @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1729]) ).
thf(1765,plain,
! [SV196: $i,SV156: $i,SV64: $i] :
( ( ( ~ ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV156 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1729]) ).
thf(1766,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( ! [SY365: $i] :
~ ~ ( ~ ( in @ SY365 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SY365 @ SV156 ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1730]) ).
thf(1767,plain,
! [SV64: $i,SV156: $i,SV196: $i,SV222: $i,SV226: $i] :
( ( ( ~ ( in @ SV226 @ SV222 )
| ( in @ SV226 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) ) )
= $true )
| ( ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV222 )
= $true )
| ( ( in @ SV222 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1731]) ).
thf(1768,plain,
! [SV64: $i,SV156: $i,SV190: $i] :
( ( ( in @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1732]) ).
thf(1769,plain,
! [SV190: $i,SV156: $i,SV64: $i] :
( ( ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV156 )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1733]) ).
thf(1770,plain,
! [SV64: $i,SV156: $i,SV190: $i,SV227: $i] :
( ( ( ~ ~ ( ~ ( in @ SV227 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SV227 @ SV156 ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1734]) ).
thf(1771,plain,
! [SV64: $i,SV156: $i,SV190: $i,SV219: $i,SV223: $i] :
( ( ( ~ ( in @ SV223 @ SV219 ) )
= $true )
| ( ( in @ SV223 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
= $true )
| ( ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV219 )
= $true )
| ( ( in @ SV219 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1735]) ).
thf(1772,plain,
! [SV60: $i > $o,SV212: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK97_SY248 @ SV212 @ SV60 @ SV109 ) ) )
= $false )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60 @ ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1736]) ).
thf(1773,plain,
! [SV60: $i > $o,SV212: $i,SV109: $i > $o] :
( ( ( ~ ! [SY394: $i] :
( ~ ( SV109 @ SY394 )
| ( ( sK97_SY248 @ SV212 @ SV60 @ SV109 )
= SY394 ) ) )
= $false )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60 @ ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1736]) ).
thf(1774,plain,
! [SV60: $i > $o,SV212: $i,SV109: $i > $o] :
( ( ( SV109 @ ( sK91_SY248 @ SV212 @ SV60 @ SV109 ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1737]) ).
thf(1775,plain,
! [SV60: $i > $o,SV212: $i,SV109: $i > $o] :
( ( ( ! [SY388: $i] :
( ~ ( SV109 @ SY388 )
| ( ( sK91_SY248 @ SV212 @ SV60 @ SV109 )
= SY388 ) ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1738]) ).
thf(1776,plain,
! [SV109: $i > $o,SV213: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK98_SY157 @ SV213 @ SV109 @ SV60 ) ) )
= $false )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109 @ ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1777,plain,
! [SV109: $i > $o,SV213: $i,SV60: $i > $o] :
( ( ( ~ ! [SY395: $i] :
( ~ ( SV60 @ SY395 )
| ( ( sK98_SY157 @ SV213 @ SV109 @ SV60 )
= SY395 ) ) )
= $false )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109 @ ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1778,plain,
! [SV109: $i > $o,SV213: $i,SV60: $i > $o] :
( ( ( SV60 @ ( sK92_SY157 @ SV213 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1740]) ).
thf(1779,plain,
! [SV109: $i > $o,SV213: $i,SV60: $i > $o] :
( ( ( ! [SY389: $i] :
( ~ ( SV60 @ SY389 )
| ( ( sK92_SY157 @ SV213 @ SV109 @ SV60 )
= SY389 ) ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1741]) ).
thf(1792,plain,
! [SV60: $i > $o,SV202: $i,SV232: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV232 )
| ( ( sK89_SY248 @ SV202 @ SV60 @ SV109 )
= SV232 ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60 @ ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1759]) ).
thf(1793,plain,
! [SV60: $i > $o,SV202: $i,SV224: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV224 ) )
= $true )
| ( ( ( sK83_SY248 @ SV202 @ SV60 @ SV109 )
= SV224 )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1760]) ).
thf(1794,plain,
! [SV109: $i > $o,SV203: $i,SV233: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV233 )
| ( ( sK90_SY157 @ SV203 @ SV109 @ SV60 )
= SV233 ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109 @ ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1762]) ).
thf(1795,plain,
! [SV109: $i > $o,SV203: $i,SV225: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV225 ) )
= $true )
| ( ( ( sK84_SY157 @ SV203 @ SV109 @ SV60 )
= SV225 )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1763]) ).
thf(1796,plain,
! [SV64: $i,SV156: $i,SV196: $i] :
( ( ( in @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) @ ( sK3_SY166 @ SV64 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1764]) ).
thf(1797,plain,
! [SV196: $i,SV156: $i,SV64: $i] :
( ( ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV156 )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(1798,plain,
! [SV64: $i,SV156: $i,SV196: $i,SV234: $i] :
( ( ( ~ ~ ( ~ ( in @ SV234 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SV234 @ SV156 ) ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1766]) ).
thf(1799,plain,
! [SV64: $i,SV156: $i,SV196: $i,SV222: $i,SV226: $i] :
( ( ( ~ ( in @ SV226 @ SV222 ) )
= $true )
| ( ( in @ SV226 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
= $true )
| ( ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV222 )
= $true )
| ( ( in @ SV222 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1767]) ).
thf(1800,plain,
! [SV64: $i,SV156: $i,SV190: $i,SV227: $i] :
( ( ( ~ ( ~ ( in @ SV227 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SV227 @ SV156 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1770]) ).
thf(1801,plain,
! [SV64: $i,SV156: $i,SV190: $i,SV219: $i,SV223: $i] :
( ( ( in @ SV223 @ SV219 )
= $false )
| ( ( in @ SV223 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
= $true )
| ( ( in @ ( sK69_SY358 @ SV64 @ SV156 @ SV190 ) @ SV219 )
= $true )
| ( ( in @ SV219 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1771]) ).
thf(1802,plain,
! [SV60: $i > $o,SV212: $i,SV109: $i > $o] :
( ( ( SV109 @ ( sK97_SY248 @ SV212 @ SV60 @ SV109 ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60 @ ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1772]) ).
thf(1803,plain,
! [SV60: $i > $o,SV212: $i,SV109: $i > $o] :
( ( ( ! [SY394: $i] :
( ~ ( SV109 @ SY394 )
| ( ( sK97_SY248 @ SV212 @ SV60 @ SV109 )
= SY394 ) ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60 @ ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1773]) ).
thf(1804,plain,
! [SV60: $i > $o,SV212: $i,SV235: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV235 )
| ( ( sK91_SY248 @ SV212 @ SV60 @ SV109 )
= SV235 ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1775]) ).
thf(1805,plain,
! [SV109: $i > $o,SV213: $i,SV60: $i > $o] :
( ( ( SV60 @ ( sK98_SY157 @ SV213 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109 @ ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1776]) ).
thf(1806,plain,
! [SV109: $i > $o,SV213: $i,SV60: $i > $o] :
( ( ( ! [SY395: $i] :
( ~ ( SV60 @ SY395 )
| ( ( sK98_SY157 @ SV213 @ SV109 @ SV60 )
= SY395 ) ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109 @ ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1777]) ).
thf(1807,plain,
! [SV109: $i > $o,SV213: $i,SV236: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV236 )
| ( ( sK92_SY157 @ SV213 @ SV109 @ SV60 )
= SV236 ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1779]) ).
thf(1816,plain,
! [SV60: $i > $o,SV202: $i,SV232: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV232 ) )
= $true )
| ( ( ( sK89_SY248 @ SV202 @ SV60 @ SV109 )
= SV232 )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60 @ ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1792]) ).
thf(1817,plain,
! [SV60: $i > $o,SV202: $i,SV224: $i,SV109: $i > $o] :
( ( ( SV109 @ SV224 )
= $false )
| ( ( ( sK83_SY248 @ SV202 @ SV60 @ SV109 )
= SV224 )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1793]) ).
thf(1818,plain,
! [SV109: $i > $o,SV203: $i,SV233: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV233 ) )
= $true )
| ( ( ( sK90_SY157 @ SV203 @ SV109 @ SV60 )
= SV233 )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109 @ ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1794]) ).
thf(1819,plain,
! [SV109: $i > $o,SV203: $i,SV225: $i,SV60: $i > $o] :
( ( ( SV60 @ SV225 )
= $false )
| ( ( ( sK84_SY157 @ SV203 @ SV109 @ SV60 )
= SV225 )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $false )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1795]) ).
thf(1820,plain,
! [SV64: $i,SV156: $i,SV196: $i,SV234: $i] :
( ( ( ~ ( ~ ( in @ SV234 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SV234 @ SV156 ) ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1798]) ).
thf(1821,plain,
! [SV64: $i,SV156: $i,SV196: $i,SV222: $i,SV226: $i] :
( ( ( in @ SV226 @ SV222 )
= $false )
| ( ( in @ SV226 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
= $true )
| ( ( in @ ( sK72_SY364 @ SV64 @ SV156 @ SV196 ) @ SV222 )
= $true )
| ( ( in @ SV222 @ ( sK3_SY166 @ SV64 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1799]) ).
thf(1822,plain,
! [SV64: $i,SV156: $i,SV190: $i,SV227: $i] :
( ( ( ~ ( in @ SV227 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
| ~ ( in @ SV227 @ SV156 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1800]) ).
thf(1823,plain,
! [SV60: $i > $o,SV212: $i,SV241: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV241 )
| ( ( sK97_SY248 @ SV212 @ SV60 @ SV109 )
= SV241 ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60 @ ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1803]) ).
thf(1824,plain,
! [SV60: $i > $o,SV212: $i,SV235: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV235 ) )
= $true )
| ( ( ( sK91_SY248 @ SV212 @ SV60 @ SV109 )
= SV235 )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1804]) ).
thf(1825,plain,
! [SV109: $i > $o,SV213: $i,SV242: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV242 )
| ( ( sK98_SY157 @ SV213 @ SV109 @ SV60 )
= SV242 ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109 @ ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1806]) ).
thf(1826,plain,
! [SV109: $i > $o,SV213: $i,SV236: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV236 ) )
= $true )
| ( ( ( sK92_SY157 @ SV213 @ SV109 @ SV60 )
= SV236 )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1807]) ).
thf(1835,plain,
! [SV60: $i > $o,SV202: $i,SV232: $i,SV109: $i > $o] :
( ( ( SV109 @ SV232 )
= $false )
| ( ( ( sK89_SY248 @ SV202 @ SV60 @ SV109 )
= SV232 )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60 @ ( sK74_SY352 @ SV109 @ SV202 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1816]) ).
thf(1836,plain,
! [SV109: $i > $o,SV203: $i,SV233: $i,SV60: $i > $o] :
( ( ( SV60 @ SV233 )
= $false )
| ( ( ( sK90_SY157 @ SV203 @ SV109 @ SV60 )
= SV233 )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109 @ ( sK75_SY353 @ SV60 @ SV203 @ SV109 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1818]) ).
thf(1837,plain,
! [SV64: $i,SV156: $i,SV196: $i,SV234: $i] :
( ( ( ~ ( in @ SV234 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
| ~ ( in @ SV234 @ SV156 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1820]) ).
thf(1838,plain,
! [SV64: $i,SV156: $i,SV190: $i,SV227: $i] :
( ( ( ~ ( in @ SV227 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) ) )
= $true )
| ( ( ~ ( in @ SV227 @ SV156 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1822]) ).
thf(1839,plain,
! [SV60: $i > $o,SV212: $i,SV241: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV241 ) )
= $true )
| ( ( ( sK97_SY248 @ SV212 @ SV60 @ SV109 )
= SV241 )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60 @ ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1823]) ).
thf(1840,plain,
! [SV60: $i > $o,SV212: $i,SV235: $i,SV109: $i > $o] :
( ( ( SV109 @ SV235 )
= $false )
| ( ( ( sK91_SY248 @ SV212 @ SV60 @ SV109 )
= SV235 )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1824]) ).
thf(1841,plain,
! [SV109: $i > $o,SV213: $i,SV242: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV242 ) )
= $true )
| ( ( ( sK98_SY157 @ SV213 @ SV109 @ SV60 )
= SV242 )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109 @ ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1825]) ).
thf(1842,plain,
! [SV109: $i > $o,SV213: $i,SV236: $i,SV60: $i > $o] :
( ( ( SV60 @ SV236 )
= $false )
| ( ( ( sK92_SY157 @ SV213 @ SV109 @ SV60 )
= SV236 )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $false )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1826]) ).
thf(1847,plain,
! [SV64: $i,SV156: $i,SV196: $i,SV234: $i] :
( ( ( ~ ( in @ SV234 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) ) )
= $true )
| ( ( ~ ( in @ SV234 @ SV156 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1837]) ).
thf(1848,plain,
! [SV64: $i,SV156: $i,SV190: $i,SV227: $i] :
( ( ( in @ SV227 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
= $false )
| ( ( ~ ( in @ SV227 @ SV156 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1838]) ).
thf(1849,plain,
! [SV60: $i > $o,SV212: $i,SV241: $i,SV109: $i > $o] :
( ( ( SV109 @ SV241 )
= $false )
| ( ( ( sK97_SY248 @ SV212 @ SV60 @ SV109 )
= SV241 )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60 @ ( sK81_SY362 @ SV109 @ SV212 @ SV60 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1839]) ).
thf(1850,plain,
! [SV109: $i > $o,SV213: $i,SV242: $i,SV60: $i > $o] :
( ( ( SV60 @ SV242 )
= $false )
| ( ( ( sK98_SY157 @ SV213 @ SV109 @ SV60 )
= SV242 )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109 @ ( sK82_SY363 @ SV60 @ SV213 @ SV109 ) )
= $true )
| ( ( SV60 @ ( sK11_SY244 @ SV109 @ SV60 ) )
= $true )
| ( ( SV109 @ ( sK14_SY292 @ SV60 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1841]) ).
thf(1851,plain,
! [SV64: $i,SV156: $i,SV196: $i,SV234: $i] :
( ( ( in @ SV234 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
= $false )
| ( ( ~ ( in @ SV234 @ SV156 ) )
= $true )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1847]) ).
thf(1852,plain,
! [SV64: $i,SV190: $i,SV156: $i,SV227: $i] :
( ( ( in @ SV227 @ SV156 )
= $false )
| ( ( in @ SV227 @ ( sK64_SY302 @ SV190 @ SV156 @ SV64 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV64 )
= $false )
| ( ( in @ SV190 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1848]) ).
thf(1853,plain,
! [SV64: $i,SV196: $i,SV156: $i,SV234: $i] :
( ( ( in @ SV234 @ SV156 )
= $false )
| ( ( in @ SV234 @ ( sK65_SY302 @ SV196 @ SV156 @ SV64 ) )
= $false )
| ( ( in @ ( sK49_SY300 @ SV64 @ SV156 ) @ SV156 )
= $true )
| ( ( in @ SV196 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1851]) ).
thf(1854,plain,
! [SV131: $i,SV185: $i] :
( ( ( SV185
= ( sK42_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = SV131 ) ) )
= $false )
| ( ( SV185 = SV131 )
= $true )
| ( ( SV131 = SV131 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = SV131 ) ) )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[1371:[bind(SV18,$thf( ^ [SV243: $i] : ( SV243 = SV131 ) ))]]) ).
thf(1855,plain,
! [SV131: $i,SV185: $i] :
( ( ( SV185
= ( sK42_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = SV131 ) ) )
= $false )
| ( ( SV185 = SV131 )
= $true )
| ( ( SV131
= ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = SV131 ) ) )
= $false ) ),
inference(sim,[status(thm)],[1854]) ).
thf(1856,plain,
! [SV131: $i,SV187: $i] :
( ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = SV131 ) ) )
= $false )
| ( ( SV187 = SV131 )
= $true )
| ( ( SV131 = SV131 )
= $false )
| ( ( ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = SV131 ) )
= SV131 )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[1404:[bind(SV18,$thf( ^ [SV244: $i] : ( SV244 = SV131 ) ))]]) ).
thf(1857,plain,
! [SV131: $i,SV187: $i] :
( ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = SV131 ) ) )
= $false )
| ( ( SV187 = SV131 )
= $true )
| ( ( ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = SV131 ) )
= SV131 )
= $true ) ),
inference(sim,[status(thm)],[1856]) ).
thf(1858,plain,
( ( $true = $false )
| ( ( in @ emptyset @ ( prop2set @ $true ) )
= $true ) ),
inference(prim_subst,[status(thm)],[380:[bind(SV5,$thf( $true ))]]) ).
thf(1860,plain,
! [SV443: $o] :
( ( ( ~ SV443 ) = $false )
| ( ( in @ emptyset @ ( prop2set @ ~ SV443 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[380:[bind(SV5,$thf( ~ ( SV443 ) ))]]) ).
thf(1861,plain,
( ( $true = $false )
| ( ( set2prop @ ( prop2set @ $true ) )
= $true ) ),
inference(prim_subst,[status(thm)],[398:[bind(SV24,$thf( $true ))]]) ).
thf(1863,plain,
! [SV442: $o] :
( ( ( ~ SV442 ) = $false )
| ( ( set2prop @ ( prop2set @ ~ SV442 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[398:[bind(SV24,$thf( ~ ( SV442 ) ))]]) ).
thf(1865,plain,
! [SV25: $i] :
( ( $false = $true )
| ( ( in @ SV25 @ emptyset )
= $false ) ),
inference(prim_subst,[status(thm)],[465:[bind(SV126,$thf( $false ))]]) ).
thf(1866,plain,
! [SV25: $i,SV441: $o] :
( ( ( ~ SV441 ) = $true )
| ( ( in @ SV25 @ emptyset )
= $false ) ),
inference(prim_subst,[status(thm)],[465:[bind(SV126,$thf( ~ ( SV441 ) ))]]) ).
thf(1868,plain,
! [SV104: $i] :
( ( ( in @ SV104 @ ( prop2set @ $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[497:[bind(SV57,$thf( $false ))]]) ).
thf(1869,plain,
! [SV440: $o,SV104: $i] :
( ( ( in @ SV104 @ ( prop2set @ ~ SV440 ) )
= $false )
| ( ( ~ SV440 ) = $true ) ),
inference(prim_subst,[status(thm)],[497:[bind(SV57,$thf( ~ ( SV440 ) ))]]) ).
thf(1871,plain,
! [SV108: $i] :
( ( ( in @ SV108 @ emptyset )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[501:[bind(SV59,$thf( ^ [SV438: $i] : $false ))]]) ).
thf(1872,plain,
! [SV437: $i > $o,SV108: $i] :
( ( ( in @ SV108 @ emptyset )
= $false )
| ( ( ~ ( SV437 @ SV108 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[501:[bind(SV59,$thf( ^ [SV436: $i] : ~ ( SV437 @ SV436 ) ))]]) ).
thf(1873,plain,
! [SV108: $i] :
( ( ( in @ SV108 @ emptyset )
= $false )
| ( ( SV108 = omega )
= $true ) ),
inference(prim_subst,[status(thm)],[501:[bind(SV59,$thf( ^ [SV432: $i] : ( SV432 = omega ) ))]]) ).
thf(1874,plain,
! [SV108: $i] :
( ( ( in @ SV108 @ emptyset )
= $false )
| ( ( SV108 = sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[501:[bind(SV59,$thf( ^ [SV433: $i] : ( SV433 = sK40_SX0 ) ))]]) ).
thf(1875,plain,
! [SV108: $i] :
( ( ( in @ SV108 @ emptyset )
= $false )
| ( ( SV108 = emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[501:[bind(SV59,$thf( ^ [SV434: $i] : ( SV434 = emptyset ) ))]]) ).
thf(1876,plain,
! [SV108: $i] :
( ( ( in @ SV108 @ emptyset )
= $false )
| ( ( SV108 = sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[501:[bind(SV59,$thf( ^ [SV435: $i] : ( SV435 = sK24_SX0 ) ))]]) ).
thf(1878,plain,
! [SV50: $i,SV122: $i] :
( ( ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SX0: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[551:[bind(SV100,$thf( ^ [SV430: $i] : $false ))]]) ).
thf(1879,plain,
! [SV429: $i > $o,SV50: $i,SV122: $i] :
( ( ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SX0: $i] :
~ ( SV429 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV429 @ SV122 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[551:[bind(SV100,$thf( ^ [SV428: $i] : ~ ( SV429 @ SV428 ) ))]]) ).
thf(1880,plain,
! [SV50: $i,SV122: $i] :
( ( ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( SV122 = omega )
= $true ) ),
inference(prim_subst,[status(thm)],[551:[bind(SV100,$thf( ^ [SV424: $i] : ( SV424 = omega ) ))]]) ).
thf(1881,plain,
! [SV50: $i,SV122: $i] :
( ( ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( SV122 = sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[551:[bind(SV100,$thf( ^ [SV425: $i] : ( SV425 = sK40_SX0 ) ))]]) ).
thf(1882,plain,
! [SV50: $i,SV122: $i] :
( ( ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( SV122 = emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[551:[bind(SV100,$thf( ^ [SV426: $i] : ( SV426 = emptyset ) ))]]) ).
thf(1883,plain,
! [SV50: $i,SV122: $i] :
( ( ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( SV122 = sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[551:[bind(SV100,$thf( ^ [SV427: $i] : ( SV427 = sK24_SX0 ) ))]]) ).
thf(1884,plain,
! [SV11: $i,SV116: $i] :
( ( $true = $false )
| ( ( in @ SV116
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV116 @ SV11 )
= $false ) ),
inference(prim_subst,[status(thm)],[637:[bind(SV76,$thf( ^ [SV423: $i] : $true ))]]) ).
thf(1886,plain,
! [SV11: $i,SV116: $i,SV421: $i > $o] :
( ( ( ~ ( SV421 @ SV116 ) )
= $false )
| ( ( in @ SV116
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] :
~ ( SV421 @ SX0 ) ) )
= $true )
| ( ( in @ SV116 @ SV11 )
= $false ) ),
inference(prim_subst,[status(thm)],[637:[bind(SV76,$thf( ^ [SV420: $i] : ~ ( SV421 @ SV420 ) ))]]) ).
thf(1887,plain,
! [SV11: $i,SV116: $i] :
( ( ( SV116 = omega )
= $false )
| ( ( in @ SV116
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true )
| ( ( in @ SV116 @ SV11 )
= $false ) ),
inference(prim_subst,[status(thm)],[637:[bind(SV76,$thf( ^ [SV416: $i] : ( SV416 = omega ) ))]]) ).
thf(1888,plain,
! [SV11: $i,SV116: $i] :
( ( ( SV116 = sK40_SX0 )
= $false )
| ( ( in @ SV116
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true )
| ( ( in @ SV116 @ SV11 )
= $false ) ),
inference(prim_subst,[status(thm)],[637:[bind(SV76,$thf( ^ [SV417: $i] : ( SV417 = sK40_SX0 ) ))]]) ).
thf(1889,plain,
! [SV11: $i,SV116: $i] :
( ( ( SV116 = emptyset )
= $false )
| ( ( in @ SV116
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( in @ SV116 @ SV11 )
= $false ) ),
inference(prim_subst,[status(thm)],[637:[bind(SV76,$thf( ^ [SV418: $i] : ( SV418 = emptyset ) ))]]) ).
thf(1890,plain,
! [SV11: $i,SV116: $i] :
( ( ( SV116 = sK24_SX0 )
= $false )
| ( ( in @ SV116
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true )
| ( ( in @ SV116 @ SV11 )
= $false ) ),
inference(prim_subst,[status(thm)],[637:[bind(SV76,$thf( ^ [SV419: $i] : ( SV419 = sK24_SX0 ) ))]]) ).
thf(1899,plain,
! [SV13: $i,SV78: $i] :
( ( ( in @ SV78 @ ( sK18_SY283 @ $false @ SV13 @ SV78 ) )
= $true )
| ( $false = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[805:[bind(SV130,$thf( $false ))]]) ).
thf(1900,plain,
! [SV13: $i,SV407: $o,SV78: $i] :
( ( ( in @ SV78 @ ( sK18_SY283 @ ~ SV407 @ SV13 @ SV78 ) )
= $true )
| ( ( ~ SV407 ) = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[805:[bind(SV130,$thf( ~ ( SV407 ) ))]]) ).
thf(1905,plain,
! [SV48: $i,SV121: $i] :
( ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : $false ) )
= $false )
| ( $false = $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(prim_subst,[status(thm)],[842:[bind(SV98,$thf( ^ [SV405: $i] : $false ))]]) ).
thf(1906,plain,
! [SV404: $i > $o,SV48: $i,SV121: $i] :
( ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] :
~ ( SV404 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV404 @ SV121 ) )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(prim_subst,[status(thm)],[842:[bind(SV98,$thf( ^ [SV403: $i] : ~ ( SV404 @ SV403 ) ))]]) ).
thf(1907,plain,
! [SV48: $i,SV121: $i] :
( ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( SV121 = omega )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(prim_subst,[status(thm)],[842:[bind(SV98,$thf( ^ [SV399: $i] : ( SV399 = omega ) ))]]) ).
thf(1908,plain,
! [SV48: $i,SV121: $i] :
( ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( SV121 = sK40_SX0 )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(prim_subst,[status(thm)],[842:[bind(SV98,$thf( ^ [SV400: $i] : ( SV400 = sK40_SX0 ) ))]]) ).
thf(1909,plain,
! [SV48: $i,SV121: $i] :
( ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( SV121 = emptyset )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(prim_subst,[status(thm)],[842:[bind(SV98,$thf( ^ [SV401: $i] : ( SV401 = emptyset ) ))]]) ).
thf(1910,plain,
! [SV48: $i,SV121: $i] :
( ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( SV121 = sK24_SX0 )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(prim_subst,[status(thm)],[842:[bind(SV98,$thf( ^ [SV402: $i] : ( SV402 = sK24_SX0 ) ))]]) ).
thf(1911,plain,
! [SV48: $i,SV121: $i] :
( ( $true = $false )
| ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(prim_subst,[status(thm)],[843:[bind(SV98,$thf( ^ [SV406: $i] : $true ))]]) ).
thf(1913,plain,
! [SV48: $i,SV121: $i,SV404: $i > $o] :
( ( ( ~ ( SV404 @ SV121 ) )
= $false )
| ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] :
~ ( SV404 @ SX0 ) ) )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(prim_subst,[status(thm)],[843:[bind(SV98,$thf( ^ [SV403: $i] : ~ ( SV404 @ SV403 ) ))]]) ).
thf(1914,plain,
! [SV48: $i,SV121: $i] :
( ( ( SV121 = omega )
= $false )
| ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(prim_subst,[status(thm)],[843:[bind(SV98,$thf( ^ [SV399: $i] : ( SV399 = omega ) ))]]) ).
thf(1915,plain,
! [SV48: $i,SV121: $i] :
( ( ( SV121 = sK40_SX0 )
= $false )
| ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(prim_subst,[status(thm)],[843:[bind(SV98,$thf( ^ [SV400: $i] : ( SV400 = sK40_SX0 ) ))]]) ).
thf(1916,plain,
! [SV48: $i,SV121: $i] :
( ( ( SV121 = emptyset )
= $false )
| ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(prim_subst,[status(thm)],[843:[bind(SV98,$thf( ^ [SV401: $i] : ( SV401 = emptyset ) ))]]) ).
thf(1917,plain,
! [SV48: $i,SV121: $i] :
( ( ( SV121 = sK24_SX0 )
= $false )
| ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(prim_subst,[status(thm)],[843:[bind(SV98,$thf( ^ [SV402: $i] : ( SV402 = sK24_SX0 ) ))]]) ).
thf(1919,plain,
! [SV78: $i,SV13: $i] :
( ( ( in @ ( sK18_SY283 @ $false @ SV13 @ SV78 ) @ SV13 )
= $true )
| ( $false = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[871:[bind(SV130,$thf( $false ))]]) ).
thf(1920,plain,
! [SV78: $i,SV13: $i,SV407: $o] :
( ( ( in @ ( sK18_SY283 @ ~ SV407 @ SV13 @ SV78 ) @ SV13 )
= $true )
| ( ( ~ SV407 ) = $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[871:[bind(SV130,$thf( ~ ( SV407 ) ))]]) ).
thf(1946,plain,
! [SV140: $i,SV395: $i > $o] :
( ( ( ~ ( SV395
@ ( sK39_SY294 @ SV140
@ ^ [SX0: $i] :
~ ( SV395 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV395 @ SV140 ) )
= $false )
| ( ( ~ ( SV395
@ ( descr
@ ^ [SX0: $i] :
~ ( SV395 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1045:[bind(SV62,$thf( ^ [SV394: $i] : ~ ( SV395 @ SV394 ) ))]]) ).
thf(1947,plain,
! [SV140: $i] :
( ( ( ( sK39_SY294 @ SV140
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV140 = omega )
= $false )
| ( ( ( descr
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1045:[bind(SV62,$thf( ^ [SV390: $i] : ( SV390 = omega ) ))]]) ).
thf(1948,plain,
! [SV140: $i] :
( ( ( ( sK39_SY294 @ SV140
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV140 = sK40_SX0 )
= $false )
| ( ( ( descr
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1045:[bind(SV62,$thf( ^ [SV391: $i] : ( SV391 = sK40_SX0 ) ))]]) ).
thf(1949,plain,
! [SV140: $i] :
( ( ( ( sK39_SY294 @ SV140
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV140 = emptyset )
= $false )
| ( ( ( descr
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1045:[bind(SV62,$thf( ^ [SV392: $i] : ( SV392 = emptyset ) ))]]) ).
thf(1950,plain,
! [SV140: $i] :
( ( ( ( sK39_SY294 @ SV140
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV140 = sK24_SX0 )
= $false )
| ( ( ( descr
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1045:[bind(SV62,$thf( ^ [SV393: $i] : ( SV393 = sK24_SX0 ) ))]]) ).
thf(1952,plain,
! [SV7: $i,SV143: $i] :
( ( ( in
@ ( sK29_SY195 @ SV143
@ ^ [SX0: $i] : $false
@ SV7 )
@ SV7 )
= $true )
| ( $false = $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(prim_subst,[status(thm)],[1054:[bind(SV73,$thf( ^ [SV380: $i] : $false ))]]) ).
thf(1953,plain,
! [SV7: $i,SV379: $i > $o,SV143: $i] :
( ( ( in
@ ( sK29_SY195 @ SV143
@ ^ [SX0: $i] :
~ ( SV379 @ SX0 )
@ SV7 )
@ SV7 )
= $true )
| ( ( ~ ( SV379 @ SV143 ) )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(prim_subst,[status(thm)],[1054:[bind(SV73,$thf( ^ [SV378: $i] : ~ ( SV379 @ SV378 ) ))]]) ).
thf(1954,plain,
! [SV7: $i,SV143: $i] :
( ( ( in
@ ( sK29_SY195 @ SV143
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV7 )
@ SV7 )
= $true )
| ( ( SV143 = omega )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(prim_subst,[status(thm)],[1054:[bind(SV73,$thf( ^ [SV374: $i] : ( SV374 = omega ) ))]]) ).
thf(1955,plain,
! [SV7: $i,SV143: $i] :
( ( ( in
@ ( sK29_SY195 @ SV143
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV7 )
@ SV7 )
= $true )
| ( ( SV143 = sK40_SX0 )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(prim_subst,[status(thm)],[1054:[bind(SV73,$thf( ^ [SV375: $i] : ( SV375 = sK40_SX0 ) ))]]) ).
thf(1956,plain,
! [SV7: $i,SV143: $i] :
( ( ( in
@ ( sK29_SY195 @ SV143
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV7 )
@ SV7 )
= $true )
| ( ( SV143 = emptyset )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(prim_subst,[status(thm)],[1054:[bind(SV73,$thf( ^ [SV376: $i] : ( SV376 = emptyset ) ))]]) ).
thf(1957,plain,
! [SV7: $i,SV143: $i] :
( ( ( in
@ ( sK29_SY195 @ SV143
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV7 )
@ SV7 )
= $true )
| ( ( SV143 = sK24_SX0 )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(prim_subst,[status(thm)],[1054:[bind(SV73,$thf( ^ [SV377: $i] : ( SV377 = sK24_SX0 ) ))]]) ).
thf(1959,plain,
! [SV43: $i,SV147: $i] :
( ( ( in
@ ( sK32_SY219 @ SV147
@ ^ [SX0: $i] : $false
@ SV43 )
@ SV43 )
= $true )
| ( $false = $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(prim_subst,[status(thm)],[1077:[bind(SV93,$thf( ^ [SV372: $i] : $false ))]]) ).
thf(1960,plain,
! [SV43: $i,SV371: $i > $o,SV147: $i] :
( ( ( in
@ ( sK32_SY219 @ SV147
@ ^ [SX0: $i] :
~ ( SV371 @ SX0 )
@ SV43 )
@ SV43 )
= $true )
| ( ( ~ ( SV371 @ SV147 ) )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(prim_subst,[status(thm)],[1077:[bind(SV93,$thf( ^ [SV370: $i] : ~ ( SV371 @ SV370 ) ))]]) ).
thf(1961,plain,
! [SV43: $i,SV147: $i] :
( ( ( in
@ ( sK32_SY219 @ SV147
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV43 )
@ SV43 )
= $true )
| ( ( SV147 = omega )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(prim_subst,[status(thm)],[1077:[bind(SV93,$thf( ^ [SV366: $i] : ( SV366 = omega ) ))]]) ).
thf(1962,plain,
! [SV43: $i,SV147: $i] :
( ( ( in
@ ( sK32_SY219 @ SV147
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV43 )
@ SV43 )
= $true )
| ( ( SV147 = sK40_SX0 )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(prim_subst,[status(thm)],[1077:[bind(SV93,$thf( ^ [SV367: $i] : ( SV367 = sK40_SX0 ) ))]]) ).
thf(1963,plain,
! [SV43: $i,SV147: $i] :
( ( ( in
@ ( sK32_SY219 @ SV147
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV43 )
@ SV43 )
= $true )
| ( ( SV147 = emptyset )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(prim_subst,[status(thm)],[1077:[bind(SV93,$thf( ^ [SV368: $i] : ( SV368 = emptyset ) ))]]) ).
thf(1964,plain,
! [SV43: $i,SV147: $i] :
( ( ( in
@ ( sK32_SY219 @ SV147
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV43 )
@ SV43 )
= $true )
| ( ( SV147 = sK24_SX0 )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(prim_subst,[status(thm)],[1077:[bind(SV93,$thf( ^ [SV369: $i] : ( SV369 = sK24_SX0 ) ))]]) ).
thf(1966,plain,
! [SV46: $i,SV96: $i,SV120: $i] :
( ( ( in @ SV120 @ SV96 )
= $true )
| ( $false = $true )
| ( ( SV120 = SV46 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1081:[bind(SV148,$thf( $false ))]]) ).
thf(1967,plain,
! [SV46: $i,SV398: $o,SV96: $i,SV120: $i] :
( ( ( in @ SV120 @ SV96 )
= $true )
| ( ( ~ SV398 ) = $true )
| ( ( SV120 = SV46 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1081:[bind(SV148,$thf( ~ ( SV398 ) ))]]) ).
thf(1970,plain,
! [SV7: $i,SV143: $i,SV379: $i > $o] :
( ( ( ~ ( SV379
@ ( sK29_SY195 @ SV143
@ ^ [SX0: $i] :
~ ( SV379 @ SX0 )
@ SV7 ) ) )
= $false )
| ( ( ~ ( SV379 @ SV143 ) )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(prim_subst,[status(thm)],[1107:[bind(SV73,$thf( ^ [SV378: $i] : ~ ( SV379 @ SV378 ) ))]]) ).
thf(1975,plain,
! [SV8: $i,SV163: $i] :
( ( $true = $false )
| ( ( in @ SV163 @ SV8 )
= $false )
| ( ( in
@ ( sK15_SY196
@ ^ [SX0: $i] : $true
@ SV8 )
@ SV8 )
= $true ) ),
inference(prim_subst,[status(thm)],[1108:[bind(SV74,$thf( ^ [SV365: $i] : $true ))]]) ).
thf(1977,plain,
! [SV8: $i,SV163: $i,SV363: $i > $o] :
( ( ( ~ ( SV363 @ SV163 ) )
= $false )
| ( ( in @ SV163 @ SV8 )
= $false )
| ( ( in
@ ( sK15_SY196
@ ^ [SX0: $i] :
~ ( SV363 @ SX0 )
@ SV8 )
@ SV8 )
= $true ) ),
inference(prim_subst,[status(thm)],[1108:[bind(SV74,$thf( ^ [SV362: $i] : ~ ( SV363 @ SV362 ) ))]]) ).
thf(1978,plain,
! [SV8: $i,SV163: $i] :
( ( ( SV163 = omega )
= $false )
| ( ( in @ SV163 @ SV8 )
= $false )
| ( ( in
@ ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV8 )
@ SV8 )
= $true ) ),
inference(prim_subst,[status(thm)],[1108:[bind(SV74,$thf( ^ [SV358: $i] : ( SV358 = omega ) ))]]) ).
thf(1979,plain,
! [SV8: $i,SV163: $i] :
( ( ( SV163 = sK40_SX0 )
= $false )
| ( ( in @ SV163 @ SV8 )
= $false )
| ( ( in
@ ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV8 )
@ SV8 )
= $true ) ),
inference(prim_subst,[status(thm)],[1108:[bind(SV74,$thf( ^ [SV359: $i] : ( SV359 = sK40_SX0 ) ))]]) ).
thf(1980,plain,
! [SV8: $i,SV163: $i] :
( ( ( SV163 = emptyset )
= $false )
| ( ( in @ SV163 @ SV8 )
= $false )
| ( ( in
@ ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV8 )
@ SV8 )
= $true ) ),
inference(prim_subst,[status(thm)],[1108:[bind(SV74,$thf( ^ [SV360: $i] : ( SV360 = emptyset ) ))]]) ).
thf(1981,plain,
! [SV8: $i,SV163: $i] :
( ( ( SV163 = sK24_SX0 )
= $false )
| ( ( in @ SV163 @ SV8 )
= $false )
| ( ( in
@ ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV8 )
@ SV8 )
= $true ) ),
inference(prim_subst,[status(thm)],[1108:[bind(SV74,$thf( ^ [SV361: $i] : ( SV361 = sK24_SX0 ) ))]]) ).
thf(1984,plain,
! [SV8: $i,SV164: $i,SV363: $i > $o] :
( ( ( ~ ( SV363 @ SV164 ) )
= $false )
| ( ( in @ SV164 @ SV8 )
= $false )
| ( ( ~ ( SV363
@ ( sK15_SY196
@ ^ [SX0: $i] :
~ ( SV363 @ SX0 )
@ SV8 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1109:[bind(SV74,$thf( ^ [SV362: $i] : ~ ( SV363 @ SV362 ) ))]]) ).
thf(1985,plain,
! [SV8: $i,SV164: $i] :
( ( ( SV164 = omega )
= $false )
| ( ( in @ SV164 @ SV8 )
= $false )
| ( ( ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV8 )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1109:[bind(SV74,$thf( ^ [SV358: $i] : ( SV358 = omega ) ))]]) ).
thf(1986,plain,
! [SV8: $i,SV164: $i] :
( ( ( SV164 = sK40_SX0 )
= $false )
| ( ( in @ SV164 @ SV8 )
= $false )
| ( ( ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV8 )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1109:[bind(SV74,$thf( ^ [SV359: $i] : ( SV359 = sK40_SX0 ) ))]]) ).
thf(1987,plain,
! [SV8: $i,SV164: $i] :
( ( ( SV164 = emptyset )
= $false )
| ( ( in @ SV164 @ SV8 )
= $false )
| ( ( ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV8 )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1109:[bind(SV74,$thf( ^ [SV360: $i] : ( SV360 = emptyset ) ))]]) ).
thf(1988,plain,
! [SV8: $i,SV164: $i] :
( ( ( SV164 = sK24_SX0 )
= $false )
| ( ( in @ SV164 @ SV8 )
= $false )
| ( ( ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV8 )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1109:[bind(SV74,$thf( ^ [SV361: $i] : ( SV361 = sK24_SX0 ) ))]]) ).
thf(1989,plain,
! [SV22: $i,SV158: $i] :
( ( $true = $false )
| ( ( in @ SV158 @ SV22 )
= $false )
| ( ( in
@ ( sK7_SY208
@ ^ [SX0: $i] : $true
@ SV22 )
@ SV22 )
= $true ) ),
inference(prim_subst,[status(thm)],[1117:[bind(SV83,$thf( ^ [SV357: $i] : $true ))]]) ).
thf(1991,plain,
! [SV22: $i,SV158: $i,SV355: $i > $o] :
( ( ( ~ ( SV355 @ SV158 ) )
= $false )
| ( ( in @ SV158 @ SV22 )
= $false )
| ( ( in
@ ( sK7_SY208
@ ^ [SX0: $i] :
~ ( SV355 @ SX0 )
@ SV22 )
@ SV22 )
= $true ) ),
inference(prim_subst,[status(thm)],[1117:[bind(SV83,$thf( ^ [SV354: $i] : ~ ( SV355 @ SV354 ) ))]]) ).
thf(1992,plain,
! [SV22: $i,SV158: $i] :
( ( ( SV158 = omega )
= $false )
| ( ( in @ SV158 @ SV22 )
= $false )
| ( ( in
@ ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV22 )
@ SV22 )
= $true ) ),
inference(prim_subst,[status(thm)],[1117:[bind(SV83,$thf( ^ [SV350: $i] : ( SV350 = omega ) ))]]) ).
thf(1993,plain,
! [SV22: $i,SV158: $i] :
( ( ( SV158 = sK40_SX0 )
= $false )
| ( ( in @ SV158 @ SV22 )
= $false )
| ( ( in
@ ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV22 )
@ SV22 )
= $true ) ),
inference(prim_subst,[status(thm)],[1117:[bind(SV83,$thf( ^ [SV351: $i] : ( SV351 = sK40_SX0 ) ))]]) ).
thf(1994,plain,
! [SV22: $i,SV158: $i] :
( ( ( SV158 = emptyset )
= $false )
| ( ( in @ SV158 @ SV22 )
= $false )
| ( ( in
@ ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV22 )
@ SV22 )
= $true ) ),
inference(prim_subst,[status(thm)],[1117:[bind(SV83,$thf( ^ [SV352: $i] : ( SV352 = emptyset ) ))]]) ).
thf(1995,plain,
! [SV22: $i,SV158: $i] :
( ( ( SV158 = sK24_SX0 )
= $false )
| ( ( in @ SV158 @ SV22 )
= $false )
| ( ( in
@ ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV22 )
@ SV22 )
= $true ) ),
inference(prim_subst,[status(thm)],[1117:[bind(SV83,$thf( ^ [SV353: $i] : ( SV353 = sK24_SX0 ) ))]]) ).
thf(1998,plain,
! [SV22: $i,SV159: $i,SV355: $i > $o] :
( ( ( ~ ( SV355 @ SV159 ) )
= $false )
| ( ( in @ SV159 @ SV22 )
= $false )
| ( ( ~ ( SV355
@ ( sK7_SY208
@ ^ [SX0: $i] :
~ ( SV355 @ SX0 )
@ SV22 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1118:[bind(SV83,$thf( ^ [SV354: $i] : ~ ( SV355 @ SV354 ) ))]]) ).
thf(1999,plain,
! [SV22: $i,SV159: $i] :
( ( ( SV159 = omega )
= $false )
| ( ( in @ SV159 @ SV22 )
= $false )
| ( ( ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV22 )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1118:[bind(SV83,$thf( ^ [SV350: $i] : ( SV350 = omega ) ))]]) ).
thf(2000,plain,
! [SV22: $i,SV159: $i] :
( ( ( SV159 = sK40_SX0 )
= $false )
| ( ( in @ SV159 @ SV22 )
= $false )
| ( ( ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV22 )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1118:[bind(SV83,$thf( ^ [SV351: $i] : ( SV351 = sK40_SX0 ) ))]]) ).
thf(2001,plain,
! [SV22: $i,SV159: $i] :
( ( ( SV159 = emptyset )
= $false )
| ( ( in @ SV159 @ SV22 )
= $false )
| ( ( ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV22 )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1118:[bind(SV83,$thf( ^ [SV352: $i] : ( SV352 = emptyset ) ))]]) ).
thf(2002,plain,
! [SV22: $i,SV159: $i] :
( ( ( SV159 = sK24_SX0 )
= $false )
| ( ( in @ SV159 @ SV22 )
= $false )
| ( ( ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV22 )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1118:[bind(SV83,$thf( ^ [SV353: $i] : ( SV353 = sK24_SX0 ) ))]]) ).
thf(2005,plain,
! [SV29: $i,SV144: $i,SV347: $i > $o] :
( ( ( ~ ( SV347
@ ( sK45_SY211 @ SV144
@ ^ [SX0: $i] :
~ ( SV347 @ SX0 )
@ SV29 ) ) )
= $false )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( ~ ( SV347 @ SV144 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1120:[bind(SV85,$thf( ^ [SV346: $i] : ~ ( SV347 @ SV346 ) ))]]) ).
thf(2012,plain,
! [SV43: $i,SV147: $i,SV371: $i > $o] :
( ( ( ~ ( SV371
@ ( sK32_SY219 @ SV147
@ ^ [SX0: $i] :
~ ( SV371 @ SX0 )
@ SV43 ) ) )
= $false )
| ( ( ~ ( SV371 @ SV147 ) )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(prim_subst,[status(thm)],[1129:[bind(SV93,$thf( ^ [SV370: $i] : ~ ( SV371 @ SV370 ) ))]]) ).
thf(2017,plain,
! [SV45: $i,SV165: $i] :
( ( $true = $false )
| ( ( in @ SV165 @ SV45 )
= $false )
| ( ( in
@ ( sK17_SY221
@ ^ [SX0: $i] : $true
@ SV45 )
@ SV45 )
= $true ) ),
inference(prim_subst,[status(thm)],[1130:[bind(SV95,$thf( ^ [SV341: $i] : $true ))]]) ).
thf(2019,plain,
! [SV45: $i,SV165: $i,SV339: $i > $o] :
( ( ( ~ ( SV339 @ SV165 ) )
= $false )
| ( ( in @ SV165 @ SV45 )
= $false )
| ( ( in
@ ( sK17_SY221
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV45 )
@ SV45 )
= $true ) ),
inference(prim_subst,[status(thm)],[1130:[bind(SV95,$thf( ^ [SV338: $i] : ~ ( SV339 @ SV338 ) ))]]) ).
thf(2020,plain,
! [SV45: $i,SV165: $i] :
( ( ( SV165 = omega )
= $false )
| ( ( in @ SV165 @ SV45 )
= $false )
| ( ( in
@ ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV45 )
@ SV45 )
= $true ) ),
inference(prim_subst,[status(thm)],[1130:[bind(SV95,$thf( ^ [SV334: $i] : ( SV334 = omega ) ))]]) ).
thf(2021,plain,
! [SV45: $i,SV165: $i] :
( ( ( SV165 = sK40_SX0 )
= $false )
| ( ( in @ SV165 @ SV45 )
= $false )
| ( ( in
@ ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV45 )
@ SV45 )
= $true ) ),
inference(prim_subst,[status(thm)],[1130:[bind(SV95,$thf( ^ [SV335: $i] : ( SV335 = sK40_SX0 ) ))]]) ).
thf(2022,plain,
! [SV45: $i,SV165: $i] :
( ( ( SV165 = emptyset )
= $false )
| ( ( in @ SV165 @ SV45 )
= $false )
| ( ( in
@ ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV45 )
@ SV45 )
= $true ) ),
inference(prim_subst,[status(thm)],[1130:[bind(SV95,$thf( ^ [SV336: $i] : ( SV336 = emptyset ) ))]]) ).
thf(2023,plain,
! [SV45: $i,SV165: $i] :
( ( ( SV165 = sK24_SX0 )
= $false )
| ( ( in @ SV165 @ SV45 )
= $false )
| ( ( in
@ ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV45 )
@ SV45 )
= $true ) ),
inference(prim_subst,[status(thm)],[1130:[bind(SV95,$thf( ^ [SV337: $i] : ( SV337 = sK24_SX0 ) ))]]) ).
thf(2026,plain,
! [SV45: $i,SV166: $i,SV339: $i > $o] :
( ( ( ~ ( SV339 @ SV166 ) )
= $false )
| ( ( in @ SV166 @ SV45 )
= $false )
| ( ( ~ ( SV339
@ ( sK17_SY221
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV45 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1131:[bind(SV95,$thf( ^ [SV338: $i] : ~ ( SV339 @ SV338 ) ))]]) ).
thf(2027,plain,
! [SV45: $i,SV166: $i] :
( ( ( SV166 = omega )
= $false )
| ( ( in @ SV166 @ SV45 )
= $false )
| ( ( ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV45 )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1131:[bind(SV95,$thf( ^ [SV334: $i] : ( SV334 = omega ) ))]]) ).
thf(2028,plain,
! [SV45: $i,SV166: $i] :
( ( ( SV166 = sK40_SX0 )
= $false )
| ( ( in @ SV166 @ SV45 )
= $false )
| ( ( ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV45 )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1131:[bind(SV95,$thf( ^ [SV335: $i] : ( SV335 = sK40_SX0 ) ))]]) ).
thf(2029,plain,
! [SV45: $i,SV166: $i] :
( ( ( SV166 = emptyset )
= $false )
| ( ( in @ SV166 @ SV45 )
= $false )
| ( ( ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV45 )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1131:[bind(SV95,$thf( ^ [SV336: $i] : ( SV336 = emptyset ) ))]]) ).
thf(2030,plain,
! [SV45: $i,SV166: $i] :
( ( ( SV166 = sK24_SX0 )
= $false )
| ( ( in @ SV166 @ SV45 )
= $false )
| ( ( ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV45 )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1131:[bind(SV95,$thf( ^ [SV337: $i] : ( SV337 = sK24_SX0 ) ))]]) ).
thf(2034,plain,
! [SV139: $i] :
( ( ( ( sK48_SY161 @ SV139
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV139 = omega )
= $false )
| ( ( SV139
= ( sK38_SY293 @ SV139
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1147:[bind(SV61,$thf( ^ [SV326: $i] : ( SV326 = omega ) ))]]) ).
thf(2035,plain,
! [SV139: $i] :
( ( ( ( sK48_SY161 @ SV139
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV139 = sK40_SX0 )
= $false )
| ( ( SV139
= ( sK38_SY293 @ SV139
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1147:[bind(SV61,$thf( ^ [SV327: $i] : ( SV327 = sK40_SX0 ) ))]]) ).
thf(2036,plain,
! [SV139: $i] :
( ( ( ( sK48_SY161 @ SV139
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV139 = emptyset )
= $false )
| ( ( SV139
= ( sK38_SY293 @ SV139
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1147:[bind(SV61,$thf( ^ [SV328: $i] : ( SV328 = emptyset ) ))]]) ).
thf(2037,plain,
! [SV139: $i] :
( ( ( ( sK48_SY161 @ SV139
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV139 = sK24_SX0 )
= $false )
| ( ( SV139
= ( sK38_SY293 @ SV139
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1147:[bind(SV61,$thf( ^ [SV329: $i] : ( SV329 = sK24_SX0 ) ))]]) ).
thf(2039,plain,
! [SV29: $i,SV144: $i] :
( ( ( in
@ ( sK45_SY211 @ SV144
@ ^ [SX0: $i] : $false
@ SV29 )
@ SV29 )
= $true )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[1165:[bind(SV85,$thf( ^ [SV348: $i] : $false ))]]) ).
thf(2040,plain,
! [SV29: $i,SV347: $i > $o,SV144: $i] :
( ( ( in
@ ( sK45_SY211 @ SV144
@ ^ [SX0: $i] :
~ ( SV347 @ SX0 )
@ SV29 )
@ SV29 )
= $true )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( ~ ( SV347 @ SV144 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1165:[bind(SV85,$thf( ^ [SV346: $i] : ~ ( SV347 @ SV346 ) ))]]) ).
thf(2041,plain,
! [SV29: $i,SV144: $i] :
( ( ( in
@ ( sK45_SY211 @ SV144
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV29 )
@ SV29 )
= $true )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( SV144 = omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1165:[bind(SV85,$thf( ^ [SV342: $i] : ( SV342 = omega ) ))]]) ).
thf(2042,plain,
! [SV29: $i,SV144: $i] :
( ( ( in
@ ( sK45_SY211 @ SV144
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV29 )
@ SV29 )
= $true )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( SV144 = sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1165:[bind(SV85,$thf( ^ [SV343: $i] : ( SV343 = sK40_SX0 ) ))]]) ).
thf(2043,plain,
! [SV29: $i,SV144: $i] :
( ( ( in
@ ( sK45_SY211 @ SV144
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV29 )
@ SV29 )
= $true )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( SV144 = emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1165:[bind(SV85,$thf( ^ [SV344: $i] : ( SV344 = emptyset ) ))]]) ).
thf(2044,plain,
! [SV29: $i,SV144: $i] :
( ( ( in
@ ( sK45_SY211 @ SV144
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV29 )
@ SV29 )
= $true )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( SV144 = sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1165:[bind(SV85,$thf( ^ [SV345: $i] : ( SV345 = sK24_SX0 ) ))]]) ).
thf(2047,plain,
! [SV139: $i,SV331: $i > $o] :
( ( ( ~ ( SV331
@ ( sK55_SY161 @ SV139
@ ^ [SX0: $i] :
~ ( SV331 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV331 @ SV139 ) )
= $false )
| ( ( ~ ( SV331
@ ( sK38_SY293 @ SV139
@ ^ [SX0: $i] :
~ ( SV331 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1190:[bind(SV61,$thf( ^ [SV330: $i] : ~ ( SV331 @ SV330 ) ))]]) ).
thf(2048,plain,
! [SV139: $i] :
( ( ( ( sK55_SY161 @ SV139
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV139 = omega )
= $false )
| ( ( ( sK38_SY293 @ SV139
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1190:[bind(SV61,$thf( ^ [SV326: $i] : ( SV326 = omega ) ))]]) ).
thf(2049,plain,
! [SV139: $i] :
( ( ( ( sK55_SY161 @ SV139
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV139 = sK40_SX0 )
= $false )
| ( ( ( sK38_SY293 @ SV139
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1190:[bind(SV61,$thf( ^ [SV327: $i] : ( SV327 = sK40_SX0 ) ))]]) ).
thf(2050,plain,
! [SV139: $i] :
( ( ( ( sK55_SY161 @ SV139
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV139 = emptyset )
= $false )
| ( ( ( sK38_SY293 @ SV139
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1190:[bind(SV61,$thf( ^ [SV328: $i] : ( SV328 = emptyset ) ))]]) ).
thf(2051,plain,
! [SV139: $i] :
( ( ( ( sK55_SY161 @ SV139
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV139 = sK24_SX0 )
= $false )
| ( ( ( sK38_SY293 @ SV139
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1190:[bind(SV61,$thf( ^ [SV329: $i] : ( SV329 = sK24_SX0 ) ))]]) ).
thf(2062,plain,
! [SV129: $i] :
( ( ( ( sK41_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV129 = omega )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1243:[bind(SV9,$thf( ^ [SV310: $i] : ( SV310 = omega ) ))]]) ).
thf(2063,plain,
! [SV129: $i] :
( ( ( ( sK41_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV129 = sK40_SX0 )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1243:[bind(SV9,$thf( ^ [SV311: $i] : ( SV311 = sK40_SX0 ) ))]]) ).
thf(2064,plain,
! [SV129: $i] :
( ( ( ( sK41_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV129 = emptyset )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1243:[bind(SV9,$thf( ^ [SV312: $i] : ( SV312 = emptyset ) ))]]) ).
thf(2065,plain,
! [SV129: $i] :
( ( ( ( sK41_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV129 = sK24_SX0 )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1243:[bind(SV9,$thf( ^ [SV313: $i] : ( SV313 = sK24_SX0 ) ))]]) ).
thf(2068,plain,
! [SV132: $i,SV307: $i > $o] :
( ( ( ~ ( SV307
@ ( sK43_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV307
@ ( sK26_SY60 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV307 @ SV132 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1248:[bind(SV20,$thf( ^ [SV306: $i] : ~ ( SV307 @ SV306 ) ))]]) ).
thf(2069,plain,
! [SV132: $i] :
( ( ( ( sK43_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK26_SY60 @ SV132
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV132 = omega )
= $false ) ),
inference(prim_subst,[status(thm)],[1248:[bind(SV20,$thf( ^ [SV302: $i] : ( SV302 = omega ) ))]]) ).
thf(2070,plain,
! [SV132: $i] :
( ( ( ( sK43_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK26_SY60 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV132 = sK40_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1248:[bind(SV20,$thf( ^ [SV303: $i] : ( SV303 = sK40_SX0 ) ))]]) ).
thf(2071,plain,
! [SV132: $i] :
( ( ( ( sK43_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK26_SY60 @ SV132
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV132 = emptyset )
= $false ) ),
inference(prim_subst,[status(thm)],[1248:[bind(SV20,$thf( ^ [SV304: $i] : ( SV304 = emptyset ) ))]]) ).
thf(2072,plain,
! [SV132: $i] :
( ( ( ( sK43_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK26_SY60 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV132 = sK24_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1248:[bind(SV20,$thf( ^ [SV305: $i] : ( SV305 = sK24_SX0 ) ))]]) ).
thf(2090,plain,
! [SV136: $i] :
( ( ( ( sK46_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV136 = omega )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1263:[bind(SV42,$thf( ^ [SV286: $i] : ( SV286 = omega ) ))]]) ).
thf(2091,plain,
! [SV136: $i] :
( ( ( ( sK46_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV136 = sK40_SX0 )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1263:[bind(SV42,$thf( ^ [SV287: $i] : ( SV287 = sK40_SX0 ) ))]]) ).
thf(2092,plain,
! [SV136: $i] :
( ( ( ( sK46_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV136 = emptyset )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1263:[bind(SV42,$thf( ^ [SV288: $i] : ( SV288 = emptyset ) ))]]) ).
thf(2093,plain,
! [SV136: $i] :
( ( ( ( sK46_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV136 = sK24_SX0 )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1263:[bind(SV42,$thf( ^ [SV289: $i] : ( SV289 = sK24_SX0 ) ))]]) ).
thf(2096,plain,
! [SV127: $i,SV171: $i,SV179: $i,SV323: $i > $o] :
( ( ( ~ ( SV323 @ SV179 ) )
= $false )
| ( ( SV171 = SV179 )
= $true )
| ( ( ~ ( SV323 @ SV171 ) )
= $false )
| ( ( ~ ( SV323 @ SV127 ) )
= $false )
| ( ( ~ ( SV323
@ ( sK33_SY280 @ SV127
@ ^ [SX0: $i] :
~ ( SV323 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1286:[bind(SV1,$thf( ^ [SV322: $i] : ~ ( SV323 @ SV322 ) ))]]) ).
thf(2103,plain,
! [SV129: $i,SV315: $i > $o] :
( ( ( ~ ( SV315
@ ( sK50_SY36 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV315 @ SV129 ) )
= $false )
| ( ( ~ ( SV315
@ ( sK34_SY282 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1287:[bind(SV9,$thf( ^ [SV314: $i] : ~ ( SV315 @ SV314 ) ))]]) ).
thf(2104,plain,
! [SV129: $i] :
( ( ( ( sK50_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV129 = omega )
= $false )
| ( ( ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1287:[bind(SV9,$thf( ^ [SV310: $i] : ( SV310 = omega ) ))]]) ).
thf(2105,plain,
! [SV129: $i] :
( ( ( ( sK50_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV129 = sK40_SX0 )
= $false )
| ( ( ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1287:[bind(SV9,$thf( ^ [SV311: $i] : ( SV311 = sK40_SX0 ) ))]]) ).
thf(2106,plain,
! [SV129: $i] :
( ( ( ( sK50_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV129 = emptyset )
= $false )
| ( ( ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1287:[bind(SV9,$thf( ^ [SV312: $i] : ( SV312 = emptyset ) ))]]) ).
thf(2107,plain,
! [SV129: $i] :
( ( ( ( sK50_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV129 = sK24_SX0 )
= $false )
| ( ( ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1287:[bind(SV9,$thf( ^ [SV313: $i] : ( SV313 = sK24_SX0 ) ))]]) ).
thf(2110,plain,
! [SV132: $i,SV307: $i > $o] :
( ( ( ~ ( SV307
@ ( sK52_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV307
@ ( sK30_SY307 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV307 @ SV132 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1295:[bind(SV20,$thf( ^ [SV306: $i] : ~ ( SV307 @ SV306 ) ))]]) ).
thf(2111,plain,
! [SV132: $i] :
( ( ( ( sK52_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK30_SY307 @ SV132
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV132 = omega )
= $false ) ),
inference(prim_subst,[status(thm)],[1295:[bind(SV20,$thf( ^ [SV302: $i] : ( SV302 = omega ) ))]]) ).
thf(2112,plain,
! [SV132: $i] :
( ( ( ( sK52_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK30_SY307 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV132 = sK40_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1295:[bind(SV20,$thf( ^ [SV303: $i] : ( SV303 = sK40_SX0 ) ))]]) ).
thf(2113,plain,
! [SV132: $i] :
( ( ( ( sK52_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK30_SY307 @ SV132
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV132 = emptyset )
= $false ) ),
inference(prim_subst,[status(thm)],[1295:[bind(SV20,$thf( ^ [SV304: $i] : ( SV304 = emptyset ) ))]]) ).
thf(2114,plain,
! [SV132: $i] :
( ( ( ( sK52_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK30_SY307 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV132 = sK24_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1295:[bind(SV20,$thf( ^ [SV305: $i] : ( SV305 = sK24_SX0 ) ))]]) ).
thf(2117,plain,
! [SV133: $i,SV173: $i,SV180: $i,SV299: $i > $o] :
( ( ( ~ ( SV299 @ SV180 ) )
= $false )
| ( ( SV173 = SV180 )
= $true )
| ( ( ~ ( SV299 @ SV173 ) )
= $false )
| ( ( ~ ( SV299 @ SV133 ) )
= $false )
| ( ( ~ ( SV299
@ ( sK36_SY285 @ SV133
@ ^ [SX0: $i] :
~ ( SV299 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1298:[bind(SV31,$thf( ^ [SV298: $i] : ~ ( SV299 @ SV298 ) ))]]) ).
thf(2131,plain,
! [SV136: $i,SV291: $i > $o] :
( ( ( ~ ( SV291
@ ( sK54_SY101 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV291 @ SV136 ) )
= $false )
| ( ( ~ ( SV291
@ ( sK37_SY288 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1306:[bind(SV42,$thf( ^ [SV290: $i] : ~ ( SV291 @ SV290 ) ))]]) ).
thf(2132,plain,
! [SV136: $i] :
( ( ( ( sK54_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV136 = omega )
= $false )
| ( ( ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1306:[bind(SV42,$thf( ^ [SV286: $i] : ( SV286 = omega ) ))]]) ).
thf(2133,plain,
! [SV136: $i] :
( ( ( ( sK54_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV136 = sK40_SX0 )
= $false )
| ( ( ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1306:[bind(SV42,$thf( ^ [SV287: $i] : ( SV287 = sK40_SX0 ) ))]]) ).
thf(2134,plain,
! [SV136: $i] :
( ( ( ( sK54_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV136 = emptyset )
= $false )
| ( ( ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1306:[bind(SV42,$thf( ^ [SV288: $i] : ( SV288 = emptyset ) ))]]) ).
thf(2135,plain,
! [SV136: $i] :
( ( ( ( sK54_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV136 = sK24_SX0 )
= $false )
| ( ( ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1306:[bind(SV42,$thf( ^ [SV289: $i] : ( SV289 = sK24_SX0 ) ))]]) ).
thf(2153,plain,
! [SV129: $i,SV191: $i] :
( ( ( SV191 = omega )
= $false )
| ( ( ( sK41_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV191 )
= $true )
| ( ( SV129 = omega )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1367:[bind(SV9,$thf( ^ [SV310: $i] : ( SV310 = omega ) ))]]) ).
thf(2154,plain,
! [SV129: $i,SV191: $i] :
( ( ( SV191 = sK40_SX0 )
= $false )
| ( ( ( sK41_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV191 )
= $true )
| ( ( SV129 = sK40_SX0 )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1367:[bind(SV9,$thf( ^ [SV311: $i] : ( SV311 = sK40_SX0 ) ))]]) ).
thf(2155,plain,
! [SV129: $i,SV191: $i] :
( ( ( SV191 = emptyset )
= $false )
| ( ( ( sK41_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV191 )
= $true )
| ( ( SV129 = emptyset )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1367:[bind(SV9,$thf( ^ [SV312: $i] : ( SV312 = emptyset ) ))]]) ).
thf(2156,plain,
! [SV129: $i,SV191: $i] :
( ( ( SV191 = sK24_SX0 )
= $false )
| ( ( ( sK41_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV191 )
= $true )
| ( ( SV129 = sK24_SX0 )
= $false )
| ( ( SV129
= ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1367:[bind(SV9,$thf( ^ [SV313: $i] : ( SV313 = sK24_SX0 ) ))]]) ).
thf(2160,plain,
! [SV131: $i,SV185: $i] :
( ( ( SV185 = omega )
= $false )
| ( ( SV185
= ( sK42_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true )
| ( ( SV131 = omega )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1370:[bind(SV18,$thf( ^ [SV270: $i] : ( SV270 = omega ) ))]]) ).
thf(2161,plain,
! [SV131: $i,SV185: $i] :
( ( ( SV185 = sK40_SX0 )
= $false )
| ( ( SV185
= ( sK42_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true )
| ( ( SV131 = sK40_SX0 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1370:[bind(SV18,$thf( ^ [SV271: $i] : ( SV271 = sK40_SX0 ) ))]]) ).
thf(2162,plain,
! [SV131: $i,SV185: $i] :
( ( ( SV185 = emptyset )
= $false )
| ( ( SV185
= ( sK42_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( SV131 = emptyset )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1370:[bind(SV18,$thf( ^ [SV272: $i] : ( SV272 = emptyset ) ))]]) ).
thf(2163,plain,
! [SV131: $i,SV185: $i] :
( ( ( SV185 = sK24_SX0 )
= $false )
| ( ( SV185
= ( sK42_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true )
| ( ( SV131 = sK24_SX0 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1370:[bind(SV18,$thf( ^ [SV273: $i] : ( SV273 = sK24_SX0 ) ))]]) ).
thf(2167,plain,
! [SV131: $i,SV185: $i] :
( ( ( SV185
= ( sK42_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( SV185 = omega )
= $true )
| ( ( SV131 = omega )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1371:[bind(SV18,$thf( ^ [SV270: $i] : ( SV270 = omega ) ))]]) ).
thf(2168,plain,
! [SV131: $i,SV185: $i] :
( ( ( SV185
= ( sK42_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( SV185 = sK40_SX0 )
= $true )
| ( ( SV131 = sK40_SX0 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1371:[bind(SV18,$thf( ^ [SV271: $i] : ( SV271 = sK40_SX0 ) ))]]) ).
thf(2169,plain,
! [SV131: $i,SV185: $i] :
( ( ( SV185
= ( sK42_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( SV185 = emptyset )
= $true )
| ( ( SV131 = emptyset )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1371:[bind(SV18,$thf( ^ [SV272: $i] : ( SV272 = emptyset ) ))]]) ).
thf(2170,plain,
! [SV131: $i,SV185: $i] :
( ( ( SV185
= ( sK42_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( SV185 = sK24_SX0 )
= $true )
| ( ( SV131 = sK24_SX0 )
= $false )
| ( ( SV131
= ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1371:[bind(SV18,$thf( ^ [SV273: $i] : ( SV273 = sK24_SX0 ) ))]]) ).
thf(2173,plain,
! [SV132: $i,SV192: $i,SV307: $i > $o] :
( ( ( ~ ( SV307 @ SV192 ) )
= $false )
| ( ( ( sK43_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) )
= SV192 )
= $true )
| ( ( ~ ( SV307
@ ( sK26_SY60 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV307 @ SV132 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1372:[bind(SV20,$thf( ^ [SV306: $i] : ~ ( SV307 @ SV306 ) ))]]) ).
thf(2174,plain,
! [SV132: $i,SV192: $i] :
( ( ( SV192 = omega )
= $false )
| ( ( ( sK43_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV192 )
= $true )
| ( ( ( sK26_SY60 @ SV132
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV132 = omega )
= $false ) ),
inference(prim_subst,[status(thm)],[1372:[bind(SV20,$thf( ^ [SV302: $i] : ( SV302 = omega ) ))]]) ).
thf(2175,plain,
! [SV132: $i,SV192: $i] :
( ( ( SV192 = sK40_SX0 )
= $false )
| ( ( ( sK43_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV192 )
= $true )
| ( ( ( sK26_SY60 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV132 = sK40_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1372:[bind(SV20,$thf( ^ [SV303: $i] : ( SV303 = sK40_SX0 ) ))]]) ).
thf(2176,plain,
! [SV132: $i,SV192: $i] :
( ( ( SV192 = emptyset )
= $false )
| ( ( ( sK43_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV192 )
= $true )
| ( ( ( sK26_SY60 @ SV132
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV132 = emptyset )
= $false ) ),
inference(prim_subst,[status(thm)],[1372:[bind(SV20,$thf( ^ [SV304: $i] : ( SV304 = emptyset ) ))]]) ).
thf(2177,plain,
! [SV132: $i,SV192: $i] :
( ( ( SV192 = sK24_SX0 )
= $false )
| ( ( ( sK43_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV192 )
= $true )
| ( ( ( sK26_SY60 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV132 = sK24_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1372:[bind(SV20,$thf( ^ [SV305: $i] : ( SV305 = sK24_SX0 ) ))]]) ).
thf(2181,plain,
! [SV132: $i,SV193: $i] :
( ( ( SV193 = omega )
= $false )
| ( ( ( sK44_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV193 )
= $true )
| ( ( ( sK26_SY60 @ SV132
@ ^ [SX0: $i] : ( SX0 = omega ) )
= ( sK30_SY307 @ SV132
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( SV132 = omega )
= $false ) ),
inference(prim_subst,[status(thm)],[1374:[bind(SV20,$thf( ^ [SV302: $i] : ( SV302 = omega ) ))]]) ).
thf(2182,plain,
! [SV132: $i,SV193: $i] :
( ( ( SV193 = sK40_SX0 )
= $false )
| ( ( ( sK44_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV193 )
= $true )
| ( ( ( sK26_SY60 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= ( sK30_SY307 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( SV132 = sK40_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1374:[bind(SV20,$thf( ^ [SV303: $i] : ( SV303 = sK40_SX0 ) ))]]) ).
thf(2183,plain,
! [SV132: $i,SV193: $i] :
( ( ( SV193 = emptyset )
= $false )
| ( ( ( sK44_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV193 )
= $true )
| ( ( ( sK26_SY60 @ SV132
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= ( sK30_SY307 @ SV132
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( SV132 = emptyset )
= $false ) ),
inference(prim_subst,[status(thm)],[1374:[bind(SV20,$thf( ^ [SV304: $i] : ( SV304 = emptyset ) ))]]) ).
thf(2184,plain,
! [SV132: $i,SV193: $i] :
( ( ( SV193 = sK24_SX0 )
= $false )
| ( ( ( sK44_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV193 )
= $true )
| ( ( ( sK26_SY60 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= ( sK30_SY307 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( SV132 = sK24_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1374:[bind(SV20,$thf( ^ [SV305: $i] : ( SV305 = sK24_SX0 ) ))]]) ).
thf(2186,plain,
! [SV134: $i] :
( ( $false = $true )
| ( $false = $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : $false )
= SV134 )
= $true ) ),
inference(prim_subst,[status(thm)],[1375:[bind(SV32,$thf( ^ [SV284: $i] : $false ))]]) ).
thf(2187,plain,
! [SV134: $i,SV283: $i > $o] :
( ( ( ~ ( SV283
@ ( sK58_SY85 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV283
@ ( sK16_SY286 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) ) )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) )
= SV134 )
= $true ) ),
inference(prim_subst,[status(thm)],[1375:[bind(SV32,$thf( ^ [SV282: $i] : ~ ( SV283 @ SV282 ) ))]]) ).
thf(2188,plain,
! [SV134: $i] :
( ( ( ( sK58_SY85 @ SV134
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV134 )
= $true ) ),
inference(prim_subst,[status(thm)],[1375:[bind(SV32,$thf( ^ [SV278: $i] : ( SV278 = omega ) ))]]) ).
thf(2189,plain,
! [SV134: $i] :
( ( ( ( sK58_SY85 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV134 )
= $true ) ),
inference(prim_subst,[status(thm)],[1375:[bind(SV32,$thf( ^ [SV279: $i] : ( SV279 = sK40_SX0 ) ))]]) ).
thf(2190,plain,
! [SV134: $i] :
( ( ( ( sK58_SY85 @ SV134
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV134 )
= $true ) ),
inference(prim_subst,[status(thm)],[1375:[bind(SV32,$thf( ^ [SV280: $i] : ( SV280 = emptyset ) ))]]) ).
thf(2191,plain,
! [SV134: $i] :
( ( ( ( sK58_SY85 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV134 )
= $true ) ),
inference(prim_subst,[status(thm)],[1375:[bind(SV32,$thf( ^ [SV281: $i] : ( SV281 = sK24_SX0 ) ))]]) ).
thf(2195,plain,
! [SV136: $i,SV194: $i] :
( ( ( SV194 = omega )
= $false )
| ( ( ( sK46_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV194 )
= $true )
| ( ( SV136 = omega )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1381:[bind(SV42,$thf( ^ [SV286: $i] : ( SV286 = omega ) ))]]) ).
thf(2196,plain,
! [SV136: $i,SV194: $i] :
( ( ( SV194 = sK40_SX0 )
= $false )
| ( ( ( sK46_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV194 )
= $true )
| ( ( SV136 = sK40_SX0 )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1381:[bind(SV42,$thf( ^ [SV287: $i] : ( SV287 = sK40_SX0 ) ))]]) ).
thf(2197,plain,
! [SV136: $i,SV194: $i] :
( ( ( SV194 = emptyset )
= $false )
| ( ( ( sK46_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV194 )
= $true )
| ( ( SV136 = emptyset )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1381:[bind(SV42,$thf( ^ [SV288: $i] : ( SV288 = emptyset ) ))]]) ).
thf(2198,plain,
! [SV136: $i,SV194: $i] :
( ( ( SV194 = sK24_SX0 )
= $false )
| ( ( ( sK46_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV194 )
= $true )
| ( ( SV136 = sK24_SX0 )
= $false )
| ( ( SV136
= ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1381:[bind(SV42,$thf( ^ [SV289: $i] : ( SV289 = sK24_SX0 ) ))]]) ).
thf(2201,plain,
! [SV129: $i,SV197: $i,SV315: $i > $o] :
( ( ( ~ ( SV315 @ SV197 ) )
= $false )
| ( ( ( sK50_SY36 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) )
= SV197 )
= $true )
| ( ( ~ ( SV315 @ SV129 ) )
= $false )
| ( ( ~ ( SV315
@ ( sK34_SY282 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1402:[bind(SV9,$thf( ^ [SV314: $i] : ~ ( SV315 @ SV314 ) ))]]) ).
thf(2202,plain,
! [SV129: $i,SV197: $i] :
( ( ( SV197 = omega )
= $false )
| ( ( ( sK50_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV197 )
= $true )
| ( ( SV129 = omega )
= $false )
| ( ( ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1402:[bind(SV9,$thf( ^ [SV310: $i] : ( SV310 = omega ) ))]]) ).
thf(2203,plain,
! [SV129: $i,SV197: $i] :
( ( ( SV197 = sK40_SX0 )
= $false )
| ( ( ( sK50_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV197 )
= $true )
| ( ( SV129 = sK40_SX0 )
= $false )
| ( ( ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1402:[bind(SV9,$thf( ^ [SV311: $i] : ( SV311 = sK40_SX0 ) ))]]) ).
thf(2204,plain,
! [SV129: $i,SV197: $i] :
( ( ( SV197 = emptyset )
= $false )
| ( ( ( sK50_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV197 )
= $true )
| ( ( SV129 = emptyset )
= $false )
| ( ( ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1402:[bind(SV9,$thf( ^ [SV312: $i] : ( SV312 = emptyset ) ))]]) ).
thf(2205,plain,
! [SV129: $i,SV197: $i] :
( ( ( SV197 = sK24_SX0 )
= $false )
| ( ( ( sK50_SY36 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV197 )
= $true )
| ( ( SV129 = sK24_SX0 )
= $false )
| ( ( ( sK34_SY282 @ SV129
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1402:[bind(SV9,$thf( ^ [SV313: $i] : ( SV313 = sK24_SX0 ) ))]]) ).
thf(2208,plain,
! [SV131: $i,SV187: $i,SV275: $i > $o] :
( ( ( ~ ( SV275 @ SV187 ) )
= $false )
| ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV275 @ SV131 ) )
= $false )
| ( ( ~ ( SV275
@ ( sK35_SY284 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1403:[bind(SV18,$thf( ^ [SV274: $i] : ~ ( SV275 @ SV274 ) ))]]) ).
thf(2209,plain,
! [SV131: $i,SV187: $i] :
( ( ( SV187 = omega )
= $false )
| ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true )
| ( ( SV131 = omega )
= $false )
| ( ( ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1403:[bind(SV18,$thf( ^ [SV270: $i] : ( SV270 = omega ) ))]]) ).
thf(2210,plain,
! [SV131: $i,SV187: $i] :
( ( ( SV187 = sK40_SX0 )
= $false )
| ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true )
| ( ( SV131 = sK40_SX0 )
= $false )
| ( ( ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1403:[bind(SV18,$thf( ^ [SV271: $i] : ( SV271 = sK40_SX0 ) ))]]) ).
thf(2211,plain,
! [SV131: $i,SV187: $i] :
( ( ( SV187 = emptyset )
= $false )
| ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( SV131 = emptyset )
= $false )
| ( ( ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1403:[bind(SV18,$thf( ^ [SV272: $i] : ( SV272 = emptyset ) ))]]) ).
thf(2212,plain,
! [SV131: $i,SV187: $i] :
( ( ( SV187 = sK24_SX0 )
= $false )
| ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true )
| ( ( SV131 = sK24_SX0 )
= $false )
| ( ( ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1403:[bind(SV18,$thf( ^ [SV273: $i] : ( SV273 = sK24_SX0 ) ))]]) ).
thf(2215,plain,
! [SV275: $i > $o,SV131: $i,SV187: $i] :
( ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV275 @ SV187 ) )
= $true )
| ( ( ~ ( SV275 @ SV131 ) )
= $false )
| ( ( ~ ( SV275
@ ( sK35_SY284 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1404:[bind(SV18,$thf( ^ [SV274: $i] : ~ ( SV275 @ SV274 ) ))]]) ).
thf(2216,plain,
! [SV131: $i,SV187: $i] :
( ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( SV187 = omega )
= $true )
| ( ( SV131 = omega )
= $false )
| ( ( ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1404:[bind(SV18,$thf( ^ [SV270: $i] : ( SV270 = omega ) ))]]) ).
thf(2217,plain,
! [SV131: $i,SV187: $i] :
( ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( SV187 = sK40_SX0 )
= $true )
| ( ( SV131 = sK40_SX0 )
= $false )
| ( ( ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1404:[bind(SV18,$thf( ^ [SV271: $i] : ( SV271 = sK40_SX0 ) ))]]) ).
thf(2218,plain,
! [SV131: $i,SV187: $i] :
( ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( SV187 = emptyset )
= $true )
| ( ( SV131 = emptyset )
= $false )
| ( ( ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1404:[bind(SV18,$thf( ^ [SV272: $i] : ( SV272 = emptyset ) ))]]) ).
thf(2219,plain,
! [SV131: $i,SV187: $i] :
( ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( SV187 = sK24_SX0 )
= $true )
| ( ( SV131 = sK24_SX0 )
= $false )
| ( ( ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1404:[bind(SV18,$thf( ^ [SV273: $i] : ( SV273 = sK24_SX0 ) ))]]) ).
thf(2222,plain,
! [SV132: $i,SV198: $i,SV307: $i > $o] :
( ( ( ~ ( SV307 @ SV198 ) )
= $false )
| ( ( ( sK52_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) )
= SV198 )
= $true )
| ( ( ~ ( SV307
@ ( sK30_SY307 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV307 @ SV132 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1405:[bind(SV20,$thf( ^ [SV306: $i] : ~ ( SV307 @ SV306 ) ))]]) ).
thf(2223,plain,
! [SV132: $i,SV198: $i] :
( ( ( SV198 = omega )
= $false )
| ( ( ( sK52_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV198 )
= $true )
| ( ( ( sK30_SY307 @ SV132
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV132 = omega )
= $false ) ),
inference(prim_subst,[status(thm)],[1405:[bind(SV20,$thf( ^ [SV302: $i] : ( SV302 = omega ) ))]]) ).
thf(2224,plain,
! [SV132: $i,SV198: $i] :
( ( ( SV198 = sK40_SX0 )
= $false )
| ( ( ( sK52_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV198 )
= $true )
| ( ( ( sK30_SY307 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV132 = sK40_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1405:[bind(SV20,$thf( ^ [SV303: $i] : ( SV303 = sK40_SX0 ) ))]]) ).
thf(2225,plain,
! [SV132: $i,SV198: $i] :
( ( ( SV198 = emptyset )
= $false )
| ( ( ( sK52_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV198 )
= $true )
| ( ( ( sK30_SY307 @ SV132
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV132 = emptyset )
= $false ) ),
inference(prim_subst,[status(thm)],[1405:[bind(SV20,$thf( ^ [SV304: $i] : ( SV304 = emptyset ) ))]]) ).
thf(2226,plain,
! [SV132: $i,SV198: $i] :
( ( ( SV198 = sK24_SX0 )
= $false )
| ( ( ( sK52_SY62 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV198 )
= $true )
| ( ( ( sK30_SY307 @ SV132
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV132 = sK24_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1405:[bind(SV20,$thf( ^ [SV305: $i] : ( SV305 = sK24_SX0 ) ))]]) ).
thf(2236,plain,
! [SV136: $i,SV200: $i,SV291: $i > $o] :
( ( ( ~ ( SV291 @ SV200 ) )
= $false )
| ( ( ( sK54_SY101 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) )
= SV200 )
= $true )
| ( ( ~ ( SV291 @ SV136 ) )
= $false )
| ( ( ~ ( SV291
@ ( sK37_SY288 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1410:[bind(SV42,$thf( ^ [SV290: $i] : ~ ( SV291 @ SV290 ) ))]]) ).
thf(2237,plain,
! [SV136: $i,SV200: $i] :
( ( ( SV200 = omega )
= $false )
| ( ( ( sK54_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV200 )
= $true )
| ( ( SV136 = omega )
= $false )
| ( ( ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1410:[bind(SV42,$thf( ^ [SV286: $i] : ( SV286 = omega ) ))]]) ).
thf(2238,plain,
! [SV136: $i,SV200: $i] :
( ( ( SV200 = sK40_SX0 )
= $false )
| ( ( ( sK54_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV200 )
= $true )
| ( ( SV136 = sK40_SX0 )
= $false )
| ( ( ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1410:[bind(SV42,$thf( ^ [SV287: $i] : ( SV287 = sK40_SX0 ) ))]]) ).
thf(2239,plain,
! [SV136: $i,SV200: $i] :
( ( ( SV200 = emptyset )
= $false )
| ( ( ( sK54_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV200 )
= $true )
| ( ( SV136 = emptyset )
= $false )
| ( ( ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1410:[bind(SV42,$thf( ^ [SV288: $i] : ( SV288 = emptyset ) ))]]) ).
thf(2240,plain,
! [SV136: $i,SV200: $i] :
( ( ( SV200 = sK24_SX0 )
= $false )
| ( ( ( sK54_SY101 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV200 )
= $true )
| ( ( SV136 = sK24_SX0 )
= $false )
| ( ( ( sK37_SY288 @ SV136
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1410:[bind(SV42,$thf( ^ [SV289: $i] : ( SV289 = sK24_SX0 ) ))]]) ).
thf(2241,plain,
! [SV102: $i,SV161: $i] :
( ( ( in
@ ( sK60_SY311 @ SV161
@ ^ [SX0: $i,SX1: $i] : $true
@ SV102 )
@ SV102 )
= $true )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] : $true
@ SV102 ) )
= $false )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : $true
@ SV102 )
@ SV102 )
= $true ) ),
inference(prim_subst,[status(thm)],[1411:[bind(SV55,$thf( ^ [SV268: $i] : ^ [SV269: $i] : $true ))]]) ).
thf(2242,plain,
! [SV102: $i,SV161: $i] :
( ( ( in
@ ( sK60_SY311 @ SV161
@ ^ [SX0: $i,SX1: $i] : $false
@ SV102 )
@ SV102 )
= $true )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] : $false
@ SV102 ) )
= $false )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : $false
@ SV102 )
@ SV102 )
= $true ) ),
inference(prim_subst,[status(thm)],[1411:[bind(SV55,$thf( ^ [SV266: $i] : ^ [SV267: $i] : $false ))]]) ).
thf(2243,plain,
! [SV102: $i,SV265: $i > $i > $o,SV161: $i] :
( ( ( in
@ ( sK60_SY311 @ SV161
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV102 )
= $true )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $false )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV102 )
= $true ) ),
inference(prim_subst,[status(thm)],[1411:[bind(SV55,$thf( ^ [SV263: $i] : ^ [SV264: $i] : ~ ( SV265 @ SV263 @ SV264 ) ))]]) ).
thf(2244,plain,
! [SV102: $i,SV161: $i] :
( ( ( in
@ ( sK60_SY311 @ SV161
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV102 )
@ SV102 )
= $true )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV102 ) )
= $false )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV102 )
@ SV102 )
= $true ) ),
inference(prim_subst,[status(thm)],[1411:[bind(SV55,$thf( ^ [SY402: $i] : ^ [SY403: $i] : ( SY402 != SY403 ) ))]]) ).
thf(2245,plain,
! [SV102: $i,SV161: $i] :
( ( ( in
@ ( sK60_SY311 @ SV161
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV102 )
= $true )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $false )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV102 )
= $true ) ),
inference(prim_subst,[status(thm)],[1411:[bind(SV55,$thf( ^ [SV262: $i] : ^ [SV261: $i] : ( SV262 = SV261 ) ))]]) ).
thf(2247,plain,
! [SV102: $i,SV161: $i] :
( ( $false = $true )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] : $false
@ SV102 ) )
= $false )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : $false
@ SV102 )
@ SV102 )
= $true ) ),
inference(prim_subst,[status(thm)],[1412:[bind(SV55,$thf( ^ [SV266: $i] : ^ [SV267: $i] : $false ))]]) ).
thf(2248,plain,
! [SV102: $i,SV161: $i,SV265: $i > $i > $o] :
( ( ( ~ ( SV265
@ ( sK60_SY311 @ SV161
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV161 ) )
= $true )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $false )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV102 )
= $true ) ),
inference(prim_subst,[status(thm)],[1412:[bind(SV55,$thf( ^ [SV263: $i] : ^ [SV264: $i] : ~ ( SV265 @ SV263 @ SV264 ) ))]]) ).
thf(2250,plain,
! [SV102: $i,SV161: $i] :
( ( ( ( sK60_SY311 @ SV161
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= SV161 )
= $true )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $false )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV102 )
= $true ) ),
inference(prim_subst,[status(thm)],[1412:[bind(SV55,$thf( ^ [SV262: $i] : ^ [SV261: $i] : ( SV262 = SV261 ) ))]]) ).
thf(2265,plain,
! [SV161: $i,SV102: $i,SV189: $i] :
( ( $true = $false )
| ( ( in @ SV189 @ SV102 )
= $false )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] : $true
@ SV102 ) )
= $true )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : $true
@ SV102 )
@ SV102 )
= $true ) ),
inference(prim_subst,[status(thm)],[1437:[bind(SV55,$thf( ^ [SV268: $i] : ^ [SV269: $i] : $true ))]]) ).
thf(2267,plain,
! [SV102: $i,SV161: $i,SV189: $i,SV265: $i > $i > $o] :
( ( ( ~ ( SV265 @ SV189 @ SV161 ) )
= $false )
| ( ( in @ SV189 @ SV102 )
= $false )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $true )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV102 )
= $true ) ),
inference(prim_subst,[status(thm)],[1437:[bind(SV55,$thf( ^ [SV263: $i] : ^ [SV264: $i] : ~ ( SV265 @ SV263 @ SV264 ) ))]]) ).
thf(2268,plain,
! [SV102: $i,SV161: $i,SV189: $i] :
( ( ( SV189 != SV161 )
= $false )
| ( ( in @ SV189 @ SV102 )
= $false )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV102 ) )
= $true )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV102 )
@ SV102 )
= $true ) ),
inference(prim_subst,[status(thm)],[1437:[bind(SV55,$thf( ^ [SY402: $i] : ^ [SY403: $i] : ( SY402 != SY403 ) ))]]) ).
thf(2269,plain,
! [SV102: $i,SV161: $i,SV189: $i] :
( ( ( SV189 = SV161 )
= $false )
| ( ( in @ SV189 @ SV102 )
= $false )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $true )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV102 )
= $true ) ),
inference(prim_subst,[status(thm)],[1437:[bind(SV55,$thf( ^ [SV262: $i] : ^ [SV261: $i] : ( SV262 = SV261 ) ))]]) ).
thf(2272,plain,
! [SV134: $i,SV211: $i,SV283: $i > $o] :
( ( ( ~ ( SV283 @ SV211 ) )
= $false )
| ( ( ( sK58_SY85 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) )
= SV211 )
= $true )
| ( ( ~ ( SV283
@ ( sK16_SY286 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) ) )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) )
= SV134 )
= $true ) ),
inference(prim_subst,[status(thm)],[1458:[bind(SV32,$thf( ^ [SV282: $i] : ~ ( SV283 @ SV282 ) ))]]) ).
thf(2273,plain,
! [SV134: $i,SV211: $i] :
( ( ( SV211 = omega )
= $false )
| ( ( ( sK58_SY85 @ SV134
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV211 )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV134 )
= $true ) ),
inference(prim_subst,[status(thm)],[1458:[bind(SV32,$thf( ^ [SV278: $i] : ( SV278 = omega ) ))]]) ).
thf(2274,plain,
! [SV134: $i,SV211: $i] :
( ( ( SV211 = sK40_SX0 )
= $false )
| ( ( ( sK58_SY85 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV211 )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV134 )
= $true ) ),
inference(prim_subst,[status(thm)],[1458:[bind(SV32,$thf( ^ [SV279: $i] : ( SV279 = sK40_SX0 ) ))]]) ).
thf(2275,plain,
! [SV134: $i,SV211: $i] :
( ( ( SV211 = emptyset )
= $false )
| ( ( ( sK58_SY85 @ SV134
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV211 )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV134 )
= $true ) ),
inference(prim_subst,[status(thm)],[1458:[bind(SV32,$thf( ^ [SV280: $i] : ( SV280 = emptyset ) ))]]) ).
thf(2276,plain,
! [SV134: $i,SV211: $i] :
( ( ( SV211 = sK24_SX0 )
= $false )
| ( ( ( sK58_SY85 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV211 )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV134 )
= $true ) ),
inference(prim_subst,[status(thm)],[1458:[bind(SV32,$thf( ^ [SV281: $i] : ( SV281 = sK24_SX0 ) ))]]) ).
thf(2280,plain,
! [SV182: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK66_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( SV182 = omega )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1550:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2281,plain,
! [SV182: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK66_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( SV182 = sK40_SX0 )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1550:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2282,plain,
! [SV182: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK66_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( SV182 = emptyset )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1550:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2283,plain,
! [SV182: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK66_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( SV182 = sK24_SX0 )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1550:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2301,plain,
! [SV183: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK67_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( SV183 = omega )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1554:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2302,plain,
! [SV183: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK67_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( SV183 = sK40_SX0 )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1554:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2303,plain,
! [SV183: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK67_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( SV183 = emptyset )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1554:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2304,plain,
! [SV183: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK67_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( SV183 = sK24_SX0 )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1554:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2307,plain,
! [SV250: $i > $o,SV182: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK70_SY248 @ SV182
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true )
| ( ( ~ ( SV250 @ SV182 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1580:[bind(SV60,$thf( ^ [SV249: $i] : ~ ( SV250 @ SV249 ) ))]]) ).
thf(2308,plain,
! [SV182: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK70_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( SV182 = omega )
= $false )
| ( ( ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1580:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2309,plain,
! [SV182: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK70_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( SV182 = sK40_SX0 )
= $false )
| ( ( ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1580:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2310,plain,
! [SV182: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK70_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( SV182 = emptyset )
= $false )
| ( ( ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1580:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2311,plain,
! [SV182: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK70_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( SV182 = sK24_SX0 )
= $false )
| ( ( ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1580:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2313,plain,
! [SV182: $i,SV60: $i > $o] :
( ( $false = $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : $false
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : $false
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1580:[bind(SV109,$thf( ^ [SV259: $i] : $false ))]]) ).
thf(2314,plain,
! [SV60: $i > $o,SV182: $i,SV258: $i > $o] :
( ( ( ~ ( SV258
@ ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1580:[bind(SV109,$thf( ^ [SV257: $i] : ~ ( SV258 @ SV257 ) ))]]) ).
thf(2315,plain,
! [SV60: $i > $o,SV182: $i] :
( ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1580:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2316,plain,
! [SV60: $i > $o,SV182: $i] :
( ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1580:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2317,plain,
! [SV60: $i > $o,SV182: $i] :
( ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1580:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2318,plain,
! [SV60: $i > $o,SV182: $i] :
( ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1580:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2320,plain,
! [SV183: $i,SV109: $i > $o] :
( ( $false = $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : $false
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : $false )
= ( sK14_SY292
@ ^ [SX0: $i] : $false
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1583:[bind(SV60,$thf( ^ [SV251: $i] : $false ))]]) ).
thf(2321,plain,
! [SV109: $i > $o,SV183: $i,SV250: $i > $o] :
( ( ( ~ ( SV250
@ ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1583:[bind(SV60,$thf( ^ [SV249: $i] : ~ ( SV250 @ SV249 ) ))]]) ).
thf(2322,plain,
! [SV109: $i > $o,SV183: $i] :
( ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1583:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2323,plain,
! [SV109: $i > $o,SV183: $i] :
( ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1583:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2324,plain,
! [SV109: $i > $o,SV183: $i] :
( ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1583:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2325,plain,
! [SV109: $i > $o,SV183: $i] :
( ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1583:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2328,plain,
! [SV258: $i > $o,SV183: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK71_SY157 @ SV183
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258 @ SV183 ) )
= $false )
| ( ( ~ ( SV258
@ ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1583:[bind(SV109,$thf( ^ [SV257: $i] : ~ ( SV258 @ SV257 ) ))]]) ).
thf(2329,plain,
! [SV183: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK71_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( SV183 = omega )
= $false )
| ( ( ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1583:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2330,plain,
! [SV183: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK71_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( SV183 = sK40_SX0 )
= $false )
| ( ( ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1583:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2331,plain,
! [SV183: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK71_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( SV183 = emptyset )
= $false )
| ( ( ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1583:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2332,plain,
! [SV183: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK71_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( SV183 = sK24_SX0 )
= $false )
| ( ( ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1583:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2337,plain,
! [SV102: $i,SV195: $i,SV153: $i] :
( ( ( in
@ ( sK73_SY348 @ SV153 @ SV195
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV102 )
= $true )
| ( ( in @ SV195
@ ( sK59_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $false )
| ( ( ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1611:[bind(SV55,$thf( ^ [SV262: $i] : ^ [SV261: $i] : ( SV262 = SV261 ) ))]]) ).
thf(2342,plain,
! [SV102: $i,SV195: $i,SV153: $i] :
( ( ( ( sK73_SY348 @ SV153 @ SV195
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= SV195 )
= $true )
| ( ( in @ SV195
@ ( sK59_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $false )
| ( ( ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1612:[bind(SV55,$thf( ^ [SV262: $i] : ^ [SV261: $i] : ( SV262 = SV261 ) ))]]) ).
thf(2345,plain,
! [SV102: $i,SV265: $i > $i > $o,SV201: $i,SV153: $i] :
( ( ( in
@ ( sK76_SY350 @ SV153 @ SV201
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV102 )
= $true )
| ( ( in @ SV201
@ ( sK61_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $false )
| ( ( ~ ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV153 ) )
= $false )
| ( ( ~ ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1641:[bind(SV55,$thf( ^ [SV263: $i] : ^ [SV264: $i] : ~ ( SV265 @ SV263 @ SV264 ) ))]]) ).
thf(2347,plain,
! [SV102: $i,SV201: $i,SV153: $i] :
( ( ( in
@ ( sK76_SY350 @ SV153 @ SV201
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV102 )
= $true )
| ( ( in @ SV201
@ ( sK61_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $false )
| ( ( ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= SV153 )
= $false )
| ( ( ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1641:[bind(SV55,$thf( ^ [SV262: $i] : ^ [SV261: $i] : ( SV262 = SV261 ) ))]]) ).
thf(2350,plain,
! [SV102: $i,SV201: $i,SV153: $i,SV265: $i > $i > $o] :
( ( ( ~ ( SV265
@ ( sK76_SY350 @ SV153 @ SV201
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV201 ) )
= $true )
| ( ( in @ SV201
@ ( sK61_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $false )
| ( ( ~ ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV153 ) )
= $false )
| ( ( ~ ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1642:[bind(SV55,$thf( ^ [SV263: $i] : ^ [SV264: $i] : ~ ( SV265 @ SV263 @ SV264 ) ))]]) ).
thf(2352,plain,
! [SV102: $i,SV201: $i,SV153: $i] :
( ( ( ( sK76_SY350 @ SV153 @ SV201
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= SV201 )
= $true )
| ( ( in @ SV201
@ ( sK61_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $false )
| ( ( ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= SV153 )
= $false )
| ( ( ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1642:[bind(SV55,$thf( ^ [SV262: $i] : ^ [SV261: $i] : ( SV262 = SV261 ) ))]]) ).
thf(2357,plain,
! [SV153: $i,SV102: $i,SV195: $i,SV215: $i] :
( ( ( SV215 = SV195 )
= $false )
| ( ( in @ SV215 @ SV102 )
= $false )
| ( ( in @ SV195
@ ( sK59_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $true )
| ( ( ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= SV153 )
= $false )
| ( ( SV153
= ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1644:[bind(SV55,$thf( ^ [SV262: $i] : ^ [SV261: $i] : ( SV262 = SV261 ) ))]]) ).
thf(2361,plain,
! [SV182: $i,SV217: $i,SV109: $i > $o] :
( ( ( SV109 @ SV217 )
= $false )
| ( ( ( sK66_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 )
= SV217 )
= $true )
| ( ( SV182 = omega )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1646:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2362,plain,
! [SV182: $i,SV217: $i,SV109: $i > $o] :
( ( ( SV109 @ SV217 )
= $false )
| ( ( ( sK66_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 )
= SV217 )
= $true )
| ( ( SV182 = sK40_SX0 )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1646:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2363,plain,
! [SV182: $i,SV217: $i,SV109: $i > $o] :
( ( ( SV109 @ SV217 )
= $false )
| ( ( ( sK66_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 )
= SV217 )
= $true )
| ( ( SV182 = emptyset )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1646:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2364,plain,
! [SV182: $i,SV217: $i,SV109: $i > $o] :
( ( ( SV109 @ SV217 )
= $false )
| ( ( ( sK66_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 )
= SV217 )
= $true )
| ( ( SV182 = sK24_SX0 )
= $false )
| ( ( SV182
= ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1646:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2382,plain,
! [SV183: $i,SV218: $i,SV60: $i > $o] :
( ( ( SV60 @ SV218 )
= $false )
| ( ( ( sK67_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= SV218 )
= $true )
| ( ( SV183 = omega )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1648:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2383,plain,
! [SV183: $i,SV218: $i,SV60: $i > $o] :
( ( ( SV60 @ SV218 )
= $false )
| ( ( ( sK67_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= SV218 )
= $true )
| ( ( SV183 = sK40_SX0 )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1648:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2384,plain,
! [SV183: $i,SV218: $i,SV60: $i > $o] :
( ( ( SV60 @ SV218 )
= $false )
| ( ( ( sK67_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= SV218 )
= $true )
| ( ( SV183 = emptyset )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1648:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2385,plain,
! [SV183: $i,SV218: $i,SV60: $i > $o] :
( ( ( SV60 @ SV218 )
= $false )
| ( ( ( sK67_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= SV218 )
= $true )
| ( ( SV183 = sK24_SX0 )
= $false )
| ( ( SV183
= ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1648:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2388,plain,
! [SV153: $i,SV102: $i,SV201: $i,SV216: $i,SV265: $i > $i > $o] :
( ( ( ~ ( SV265 @ SV216 @ SV201 ) )
= $false )
| ( ( in @ SV216 @ SV102 )
= $false )
| ( ( in @ SV201
@ ( sK61_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $true )
| ( ( ~ ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV153 ) )
= $false )
| ( ( ~ ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1674:[bind(SV55,$thf( ^ [SV263: $i] : ^ [SV264: $i] : ~ ( SV265 @ SV263 @ SV264 ) ))]]) ).
thf(2390,plain,
! [SV153: $i,SV102: $i,SV201: $i,SV216: $i] :
( ( ( SV216 = SV201 )
= $false )
| ( ( in @ SV216 @ SV102 )
= $false )
| ( ( in @ SV201
@ ( sK61_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $true )
| ( ( ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= SV153 )
= $false )
| ( ( ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1674:[bind(SV55,$thf( ^ [SV262: $i] : ^ [SV261: $i] : ( SV262 = SV261 ) ))]]) ).
thf(2393,plain,
! [SV250: $i > $o,SV182: $i,SV220: $i,SV109: $i > $o] :
( ( ( SV109 @ SV220 )
= $false )
| ( ( ( sK70_SY248 @ SV182
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 )
= SV220 )
= $true )
| ( ( ~ ( SV250 @ SV182 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1675:[bind(SV60,$thf( ^ [SV249: $i] : ~ ( SV250 @ SV249 ) ))]]) ).
thf(2394,plain,
! [SV182: $i,SV220: $i,SV109: $i > $o] :
( ( ( SV109 @ SV220 )
= $false )
| ( ( ( sK70_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 )
= SV220 )
= $true )
| ( ( SV182 = omega )
= $false )
| ( ( ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1675:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2395,plain,
! [SV182: $i,SV220: $i,SV109: $i > $o] :
( ( ( SV109 @ SV220 )
= $false )
| ( ( ( sK70_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 )
= SV220 )
= $true )
| ( ( SV182 = sK40_SX0 )
= $false )
| ( ( ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1675:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2396,plain,
! [SV182: $i,SV220: $i,SV109: $i > $o] :
( ( ( SV109 @ SV220 )
= $false )
| ( ( ( sK70_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 )
= SV220 )
= $true )
| ( ( SV182 = emptyset )
= $false )
| ( ( ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1675:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2397,plain,
! [SV182: $i,SV220: $i,SV109: $i > $o] :
( ( ( SV109 @ SV220 )
= $false )
| ( ( ( sK70_SY248 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 )
= SV220 )
= $true )
| ( ( SV182 = sK24_SX0 )
= $false )
| ( ( ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1675:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2398,plain,
! [SV220: $i,SV60: $i > $o,SV182: $i] :
( ( $true = $false )
| ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] : $true )
= SV220 )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : $true
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : $true
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : $true ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1675:[bind(SV109,$thf( ^ [SV260: $i] : $true ))]]) ).
thf(2400,plain,
! [SV60: $i > $o,SV182: $i,SV220: $i,SV258: $i > $o] :
( ( ( ~ ( SV258 @ SV220 ) )
= $false )
| ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) )
= SV220 )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1675:[bind(SV109,$thf( ^ [SV257: $i] : ~ ( SV258 @ SV257 ) ))]]) ).
thf(2401,plain,
! [SV60: $i > $o,SV182: $i,SV220: $i] :
( ( ( SV220 = omega )
= $false )
| ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV220 )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1675:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2402,plain,
! [SV60: $i > $o,SV182: $i,SV220: $i] :
( ( ( SV220 = sK40_SX0 )
= $false )
| ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV220 )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1675:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2403,plain,
! [SV60: $i > $o,SV182: $i,SV220: $i] :
( ( ( SV220 = emptyset )
= $false )
| ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV220 )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1675:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2404,plain,
! [SV60: $i > $o,SV182: $i,SV220: $i] :
( ( ( SV220 = sK24_SX0 )
= $false )
| ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV220 )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1675:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2405,plain,
! [SV221: $i,SV109: $i > $o,SV183: $i] :
( ( $true = $false )
| ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] : $true )
= SV221 )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : $true
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : $true )
= ( sK14_SY292
@ ^ [SX0: $i] : $true
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1676:[bind(SV60,$thf( ^ [SV252: $i] : $true ))]]) ).
thf(2407,plain,
! [SV109: $i > $o,SV183: $i,SV221: $i,SV250: $i > $o] :
( ( ( ~ ( SV250 @ SV221 ) )
= $false )
| ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= SV221 )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1676:[bind(SV60,$thf( ^ [SV249: $i] : ~ ( SV250 @ SV249 ) ))]]) ).
thf(2408,plain,
! [SV109: $i > $o,SV183: $i,SV221: $i] :
( ( ( SV221 = omega )
= $false )
| ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV221 )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1676:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2409,plain,
! [SV109: $i > $o,SV183: $i,SV221: $i] :
( ( ( SV221 = sK40_SX0 )
= $false )
| ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV221 )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1676:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2410,plain,
! [SV109: $i > $o,SV183: $i,SV221: $i] :
( ( ( SV221 = emptyset )
= $false )
| ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV221 )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1676:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2411,plain,
! [SV109: $i > $o,SV183: $i,SV221: $i] :
( ( ( SV221 = sK24_SX0 )
= $false )
| ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV221 )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1676:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2414,plain,
! [SV258: $i > $o,SV183: $i,SV221: $i,SV60: $i > $o] :
( ( ( SV60 @ SV221 )
= $false )
| ( ( ( sK71_SY157 @ SV183
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= SV221 )
= $true )
| ( ( ~ ( SV258 @ SV183 ) )
= $false )
| ( ( ~ ( SV258
@ ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1676:[bind(SV109,$thf( ^ [SV257: $i] : ~ ( SV258 @ SV257 ) ))]]) ).
thf(2415,plain,
! [SV183: $i,SV221: $i,SV60: $i > $o] :
( ( ( SV60 @ SV221 )
= $false )
| ( ( ( sK71_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= SV221 )
= $true )
| ( ( SV183 = omega )
= $false )
| ( ( ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1676:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2416,plain,
! [SV183: $i,SV221: $i,SV60: $i > $o] :
( ( ( SV60 @ SV221 )
= $false )
| ( ( ( sK71_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= SV221 )
= $true )
| ( ( SV183 = sK40_SX0 )
= $false )
| ( ( ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1676:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2417,plain,
! [SV183: $i,SV221: $i,SV60: $i > $o] :
( ( ( SV60 @ SV221 )
= $false )
| ( ( ( sK71_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= SV221 )
= $true )
| ( ( SV183 = emptyset )
= $false )
| ( ( ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1676:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2418,plain,
! [SV183: $i,SV221: $i,SV60: $i > $o] :
( ( ( SV60 @ SV221 )
= $false )
| ( ( ( sK71_SY157 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= SV221 )
= $true )
| ( ( SV183 = sK24_SX0 )
= $false )
| ( ( ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1676:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2422,plain,
! [SV202: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK83_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( SV202 = omega )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false ) ),
inference(prim_subst,[status(thm)],[1722:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2423,plain,
! [SV202: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK83_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( SV202 = sK40_SX0 )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1722:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2424,plain,
! [SV202: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK83_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( SV202 = emptyset )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false ) ),
inference(prim_subst,[status(thm)],[1722:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2425,plain,
! [SV202: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK83_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( SV202 = sK24_SX0 )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1722:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2443,plain,
! [SV203: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK84_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( SV203 = omega )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1726:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2444,plain,
! [SV203: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK84_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( SV203 = sK40_SX0 )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1726:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2445,plain,
! [SV203: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK84_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( SV203 = emptyset )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1726:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2446,plain,
! [SV203: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK84_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( SV203 = sK24_SX0 )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1726:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2505,plain,
! [SV250: $i > $o,SV202: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK89_SY248 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true )
| ( ( ~ ( SV250 @ SV202 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1758:[bind(SV60,$thf( ^ [SV249: $i] : ~ ( SV250 @ SV249 ) ))]]) ).
thf(2506,plain,
! [SV202: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK89_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( SV202 = omega )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false ) ),
inference(prim_subst,[status(thm)],[1758:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2507,plain,
! [SV202: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK89_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( SV202 = sK40_SX0 )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1758:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2508,plain,
! [SV202: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK89_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( SV202 = emptyset )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false ) ),
inference(prim_subst,[status(thm)],[1758:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2509,plain,
! [SV202: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK89_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( SV202 = sK24_SX0 )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1758:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2512,plain,
! [SV60: $i > $o,SV202: $i,SV258: $i > $o] :
( ( ( ~ ( SV258
@ ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV202
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1758:[bind(SV109,$thf( ^ [SV257: $i] : ~ ( SV258 @ SV257 ) ))]]) ).
thf(2519,plain,
! [SV109: $i > $o,SV203: $i,SV250: $i > $o] :
( ( ( ~ ( SV250
@ ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1761:[bind(SV60,$thf( ^ [SV249: $i] : ~ ( SV250 @ SV249 ) ))]]) ).
thf(2526,plain,
! [SV258: $i > $o,SV203: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK90_SY157 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258 @ SV203 ) )
= $false )
| ( ( ~ ( SV258
@ ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1761:[bind(SV109,$thf( ^ [SV257: $i] : ~ ( SV258 @ SV257 ) ))]]) ).
thf(2527,plain,
! [SV203: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK90_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( SV203 = omega )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1761:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2528,plain,
! [SV203: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK90_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( SV203 = sK40_SX0 )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1761:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2529,plain,
! [SV203: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK90_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( SV203 = emptyset )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1761:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2530,plain,
! [SV203: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK90_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( SV203 = sK24_SX0 )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1761:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2534,plain,
! [SV212: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK91_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( SV212 = omega )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1774:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2535,plain,
! [SV212: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK91_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( SV212 = sK40_SX0 )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1774:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2536,plain,
! [SV212: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK91_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( SV212 = emptyset )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1774:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2537,plain,
! [SV212: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK91_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( SV212 = sK24_SX0 )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1774:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2555,plain,
! [SV213: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK92_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( SV213 = omega )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1778:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2556,plain,
! [SV213: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK92_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( SV213 = sK40_SX0 )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1778:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2557,plain,
! [SV213: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK92_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( SV213 = emptyset )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1778:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2558,plain,
! [SV213: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK92_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( SV213 = sK24_SX0 )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1778:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2617,plain,
! [SV250: $i > $o,SV212: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK97_SY248 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true )
| ( ( ~ ( SV250 @ SV212 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1802:[bind(SV60,$thf( ^ [SV249: $i] : ~ ( SV250 @ SV249 ) ))]]) ).
thf(2618,plain,
! [SV212: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK97_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( SV212 = omega )
= $false )
| ( ( ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1802:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2619,plain,
! [SV212: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK97_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( SV212 = sK40_SX0 )
= $false )
| ( ( ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1802:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2620,plain,
! [SV212: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK97_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( SV212 = emptyset )
= $false )
| ( ( ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1802:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2621,plain,
! [SV212: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK97_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( SV212 = sK24_SX0 )
= $false )
| ( ( ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1802:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2623,plain,
! [SV212: $i,SV60: $i > $o] :
( ( $false = $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] : $false
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : $false
@ SV60 ) )
= $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[1802:[bind(SV109,$thf( ^ [SV259: $i] : $false ))]]) ).
thf(2624,plain,
! [SV60: $i > $o,SV212: $i,SV258: $i > $o] :
( ( ( ~ ( SV258
@ ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1802:[bind(SV109,$thf( ^ [SV257: $i] : ~ ( SV258 @ SV257 ) ))]]) ).
thf(2625,plain,
! [SV60: $i > $o,SV212: $i] :
( ( ( ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1802:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2626,plain,
! [SV60: $i > $o,SV212: $i] :
( ( ( ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1802:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2627,plain,
! [SV60: $i > $o,SV212: $i] :
( ( ( ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1802:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2628,plain,
! [SV60: $i > $o,SV212: $i] :
( ( ( ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1802:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2630,plain,
! [SV213: $i,SV109: $i > $o] :
( ( $false = $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] : $false
@ SV213
@ SV109 ) )
= $true )
| ( $false = $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : $false
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1805:[bind(SV60,$thf( ^ [SV251: $i] : $false ))]]) ).
thf(2631,plain,
! [SV109: $i > $o,SV213: $i,SV250: $i > $o] :
( ( ( ~ ( SV250
@ ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV213
@ SV109 ) )
= $true )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1805:[bind(SV60,$thf( ^ [SV249: $i] : ~ ( SV250 @ SV249 ) ))]]) ).
thf(2632,plain,
! [SV109: $i > $o,SV213: $i] :
( ( ( ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV213
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1805:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2633,plain,
! [SV109: $i > $o,SV213: $i] :
( ( ( ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV213
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1805:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2634,plain,
! [SV109: $i > $o,SV213: $i] :
( ( ( ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV213
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1805:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2635,plain,
! [SV109: $i > $o,SV213: $i] :
( ( ( ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV213
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1805:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2638,plain,
! [SV258: $i > $o,SV213: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK98_SY157 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258 @ SV213 ) )
= $false )
| ( ( ~ ( SV258
@ ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1805:[bind(SV109,$thf( ^ [SV257: $i] : ~ ( SV258 @ SV257 ) ))]]) ).
thf(2639,plain,
! [SV213: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK98_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( SV213 = omega )
= $false )
| ( ( ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1805:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2640,plain,
! [SV213: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK98_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( SV213 = sK40_SX0 )
= $false )
| ( ( ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1805:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2641,plain,
! [SV213: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK98_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( SV213 = emptyset )
= $false )
| ( ( ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1805:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2642,plain,
! [SV213: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK98_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( SV213 = sK24_SX0 )
= $false )
| ( ( ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1805:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2646,plain,
! [SV202: $i,SV224: $i,SV109: $i > $o] :
( ( ( SV109 @ SV224 )
= $false )
| ( ( ( sK83_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 )
= SV224 )
= $true )
| ( ( SV202 = omega )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false ) ),
inference(prim_subst,[status(thm)],[1817:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2647,plain,
! [SV202: $i,SV224: $i,SV109: $i > $o] :
( ( ( SV109 @ SV224 )
= $false )
| ( ( ( sK83_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 )
= SV224 )
= $true )
| ( ( SV202 = sK40_SX0 )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1817:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2648,plain,
! [SV202: $i,SV224: $i,SV109: $i > $o] :
( ( ( SV109 @ SV224 )
= $false )
| ( ( ( sK83_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 )
= SV224 )
= $true )
| ( ( SV202 = emptyset )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false ) ),
inference(prim_subst,[status(thm)],[1817:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2649,plain,
! [SV202: $i,SV224: $i,SV109: $i > $o] :
( ( ( SV109 @ SV224 )
= $false )
| ( ( ( sK83_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 )
= SV224 )
= $true )
| ( ( SV202 = sK24_SX0 )
= $false )
| ( ( SV202
= ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1817:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2667,plain,
! [SV203: $i,SV225: $i,SV60: $i > $o] :
( ( ( SV60 @ SV225 )
= $false )
| ( ( ( sK84_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= SV225 )
= $true )
| ( ( SV203 = omega )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1819:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2668,plain,
! [SV203: $i,SV225: $i,SV60: $i > $o] :
( ( ( SV60 @ SV225 )
= $false )
| ( ( ( sK84_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= SV225 )
= $true )
| ( ( SV203 = sK40_SX0 )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1819:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2669,plain,
! [SV203: $i,SV225: $i,SV60: $i > $o] :
( ( ( SV60 @ SV225 )
= $false )
| ( ( ( sK84_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= SV225 )
= $true )
| ( ( SV203 = emptyset )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1819:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2670,plain,
! [SV203: $i,SV225: $i,SV60: $i > $o] :
( ( ( SV60 @ SV225 )
= $false )
| ( ( ( sK84_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= SV225 )
= $true )
| ( ( SV203 = sK24_SX0 )
= $false )
| ( ( SV203
= ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1819:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2729,plain,
! [SV250: $i > $o,SV202: $i,SV232: $i,SV109: $i > $o] :
( ( ( SV109 @ SV232 )
= $false )
| ( ( ( sK89_SY248 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 )
= SV232 )
= $true )
| ( ( ~ ( SV250 @ SV202 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1835:[bind(SV60,$thf( ^ [SV249: $i] : ~ ( SV250 @ SV249 ) ))]]) ).
thf(2730,plain,
! [SV202: $i,SV232: $i,SV109: $i > $o] :
( ( ( SV109 @ SV232 )
= $false )
| ( ( ( sK89_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 )
= SV232 )
= $true )
| ( ( SV202 = omega )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false ) ),
inference(prim_subst,[status(thm)],[1835:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2731,plain,
! [SV202: $i,SV232: $i,SV109: $i > $o] :
( ( ( SV109 @ SV232 )
= $false )
| ( ( ( sK89_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 )
= SV232 )
= $true )
| ( ( SV202 = sK40_SX0 )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1835:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2732,plain,
! [SV202: $i,SV232: $i,SV109: $i > $o] :
( ( ( SV109 @ SV232 )
= $false )
| ( ( ( sK89_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 )
= SV232 )
= $true )
| ( ( SV202 = emptyset )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false ) ),
inference(prim_subst,[status(thm)],[1835:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2733,plain,
! [SV202: $i,SV232: $i,SV109: $i > $o] :
( ( ( SV109 @ SV232 )
= $false )
| ( ( ( sK89_SY248 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 )
= SV232 )
= $true )
| ( ( SV202 = sK24_SX0 )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1835:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2734,plain,
! [SV232: $i,SV60: $i > $o,SV202: $i] :
( ( $true = $false )
| ( ( ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] : $true )
= SV232 )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] : $true
@ SV202
@ SV60 ) )
= $true )
| ( $true = $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : $true
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1835:[bind(SV109,$thf( ^ [SV260: $i] : $true ))]]) ).
thf(2736,plain,
! [SV60: $i > $o,SV202: $i,SV232: $i,SV258: $i > $o] :
( ( ( ~ ( SV258 @ SV232 ) )
= $false )
| ( ( ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) )
= SV232 )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV202
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1835:[bind(SV109,$thf( ^ [SV257: $i] : ~ ( SV258 @ SV257 ) ))]]) ).
thf(2737,plain,
! [SV60: $i > $o,SV202: $i,SV232: $i] :
( ( ( SV232 = omega )
= $false )
| ( ( ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV232 )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV202
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1835:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2738,plain,
! [SV60: $i > $o,SV202: $i,SV232: $i] :
( ( ( SV232 = sK40_SX0 )
= $false )
| ( ( ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV232 )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV202
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1835:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2739,plain,
! [SV60: $i > $o,SV202: $i,SV232: $i] :
( ( ( SV232 = emptyset )
= $false )
| ( ( ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV232 )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV202
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1835:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2740,plain,
! [SV60: $i > $o,SV202: $i,SV232: $i] :
( ( ( SV232 = sK24_SX0 )
= $false )
| ( ( ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV232 )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV202
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1835:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2741,plain,
! [SV233: $i,SV109: $i > $o,SV203: $i] :
( ( $true = $false )
| ( ( ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] : $true )
= SV233 )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] : $true
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : $true
@ SV109 ) )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[1836:[bind(SV60,$thf( ^ [SV252: $i] : $true ))]]) ).
thf(2743,plain,
! [SV109: $i > $o,SV203: $i,SV233: $i,SV250: $i > $o] :
( ( ( ~ ( SV250 @ SV233 ) )
= $false )
| ( ( ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= SV233 )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1836:[bind(SV60,$thf( ^ [SV249: $i] : ~ ( SV250 @ SV249 ) ))]]) ).
thf(2744,plain,
! [SV109: $i > $o,SV203: $i,SV233: $i] :
( ( ( SV233 = omega )
= $false )
| ( ( ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV233 )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false ) ),
inference(prim_subst,[status(thm)],[1836:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2745,plain,
! [SV109: $i > $o,SV203: $i,SV233: $i] :
( ( ( SV233 = sK40_SX0 )
= $false )
| ( ( ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV233 )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1836:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2746,plain,
! [SV109: $i > $o,SV203: $i,SV233: $i] :
( ( ( SV233 = emptyset )
= $false )
| ( ( ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV233 )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false ) ),
inference(prim_subst,[status(thm)],[1836:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2747,plain,
! [SV109: $i > $o,SV203: $i,SV233: $i] :
( ( ( SV233 = sK24_SX0 )
= $false )
| ( ( ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV233 )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[1836:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2750,plain,
! [SV258: $i > $o,SV203: $i,SV233: $i,SV60: $i > $o] :
( ( ( SV60 @ SV233 )
= $false )
| ( ( ( sK90_SY157 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= SV233 )
= $true )
| ( ( ~ ( SV258 @ SV203 ) )
= $false )
| ( ( ~ ( SV258
@ ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1836:[bind(SV109,$thf( ^ [SV257: $i] : ~ ( SV258 @ SV257 ) ))]]) ).
thf(2751,plain,
! [SV203: $i,SV233: $i,SV60: $i > $o] :
( ( ( SV60 @ SV233 )
= $false )
| ( ( ( sK90_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= SV233 )
= $true )
| ( ( SV203 = omega )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1836:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2752,plain,
! [SV203: $i,SV233: $i,SV60: $i > $o] :
( ( ( SV60 @ SV233 )
= $false )
| ( ( ( sK90_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= SV233 )
= $true )
| ( ( SV203 = sK40_SX0 )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1836:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2753,plain,
! [SV203: $i,SV233: $i,SV60: $i > $o] :
( ( ( SV60 @ SV233 )
= $false )
| ( ( ( sK90_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= SV233 )
= $true )
| ( ( SV203 = emptyset )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1836:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2754,plain,
! [SV203: $i,SV233: $i,SV60: $i > $o] :
( ( ( SV60 @ SV233 )
= $false )
| ( ( ( sK90_SY157 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= SV233 )
= $true )
| ( ( SV203 = sK24_SX0 )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[1836:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2758,plain,
! [SV212: $i,SV235: $i,SV109: $i > $o] :
( ( ( SV109 @ SV235 )
= $false )
| ( ( ( sK91_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 )
= SV235 )
= $true )
| ( ( SV212 = omega )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1840:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2759,plain,
! [SV212: $i,SV235: $i,SV109: $i > $o] :
( ( ( SV109 @ SV235 )
= $false )
| ( ( ( sK91_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 )
= SV235 )
= $true )
| ( ( SV212 = sK40_SX0 )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1840:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2760,plain,
! [SV212: $i,SV235: $i,SV109: $i > $o] :
( ( ( SV109 @ SV235 )
= $false )
| ( ( ( sK91_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 )
= SV235 )
= $true )
| ( ( SV212 = emptyset )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1840:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2761,plain,
! [SV212: $i,SV235: $i,SV109: $i > $o] :
( ( ( SV109 @ SV235 )
= $false )
| ( ( ( sK91_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 )
= SV235 )
= $true )
| ( ( SV212 = sK24_SX0 )
= $false )
| ( ( SV212
= ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1840:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2779,plain,
! [SV213: $i,SV236: $i,SV60: $i > $o] :
( ( ( SV60 @ SV236 )
= $false )
| ( ( ( sK92_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= SV236 )
= $true )
| ( ( SV213 = omega )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1842:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2780,plain,
! [SV213: $i,SV236: $i,SV60: $i > $o] :
( ( ( SV60 @ SV236 )
= $false )
| ( ( ( sK92_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= SV236 )
= $true )
| ( ( SV213 = sK40_SX0 )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1842:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2781,plain,
! [SV213: $i,SV236: $i,SV60: $i > $o] :
( ( ( SV60 @ SV236 )
= $false )
| ( ( ( sK92_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= SV236 )
= $true )
| ( ( SV213 = emptyset )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1842:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2782,plain,
! [SV213: $i,SV236: $i,SV60: $i > $o] :
( ( ( SV60 @ SV236 )
= $false )
| ( ( ( sK92_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= SV236 )
= $true )
| ( ( SV213 = sK24_SX0 )
= $false )
| ( ( SV213
= ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1842:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2841,plain,
! [SV250: $i > $o,SV212: $i,SV241: $i,SV109: $i > $o] :
( ( ( SV109 @ SV241 )
= $false )
| ( ( ( sK97_SY248 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 )
= SV241 )
= $true )
| ( ( ~ ( SV250 @ SV212 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1849:[bind(SV60,$thf( ^ [SV249: $i] : ~ ( SV250 @ SV249 ) ))]]) ).
thf(2842,plain,
! [SV212: $i,SV241: $i,SV109: $i > $o] :
( ( ( SV109 @ SV241 )
= $false )
| ( ( ( sK97_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 )
= SV241 )
= $true )
| ( ( SV212 = omega )
= $false )
| ( ( ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1849:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2843,plain,
! [SV212: $i,SV241: $i,SV109: $i > $o] :
( ( ( SV109 @ SV241 )
= $false )
| ( ( ( sK97_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 )
= SV241 )
= $true )
| ( ( SV212 = sK40_SX0 )
= $false )
| ( ( ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1849:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2844,plain,
! [SV212: $i,SV241: $i,SV109: $i > $o] :
( ( ( SV109 @ SV241 )
= $false )
| ( ( ( sK97_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 )
= SV241 )
= $true )
| ( ( SV212 = emptyset )
= $false )
| ( ( ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1849:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2845,plain,
! [SV212: $i,SV241: $i,SV109: $i > $o] :
( ( ( SV109 @ SV241 )
= $false )
| ( ( ( sK97_SY248 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 )
= SV241 )
= $true )
| ( ( SV212 = sK24_SX0 )
= $false )
| ( ( ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1849:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2848,plain,
! [SV60: $i > $o,SV212: $i,SV241: $i,SV258: $i > $o] :
( ( ( ~ ( SV258 @ SV241 ) )
= $false )
| ( ( ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) )
= SV241 )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1849:[bind(SV109,$thf( ^ [SV257: $i] : ~ ( SV258 @ SV257 ) ))]]) ).
thf(2849,plain,
! [SV60: $i > $o,SV212: $i,SV241: $i] :
( ( ( SV241 = omega )
= $false )
| ( ( ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV241 )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1849:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2850,plain,
! [SV60: $i > $o,SV212: $i,SV241: $i] :
( ( ( SV241 = sK40_SX0 )
= $false )
| ( ( ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV241 )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1849:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2851,plain,
! [SV60: $i > $o,SV212: $i,SV241: $i] :
( ( ( SV241 = emptyset )
= $false )
| ( ( ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV241 )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1849:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2852,plain,
! [SV60: $i > $o,SV212: $i,SV241: $i] :
( ( ( SV241 = sK24_SX0 )
= $false )
| ( ( ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV241 )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1849:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2855,plain,
! [SV109: $i > $o,SV213: $i,SV242: $i,SV250: $i > $o] :
( ( ( ~ ( SV250 @ SV242 ) )
= $false )
| ( ( ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= SV242 )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV213
@ SV109 ) )
= $true )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1850:[bind(SV60,$thf( ^ [SV249: $i] : ~ ( SV250 @ SV249 ) ))]]) ).
thf(2856,plain,
! [SV109: $i > $o,SV213: $i,SV242: $i] :
( ( ( SV242 = omega )
= $false )
| ( ( ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV242 )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV213
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1850:[bind(SV60,$thf( ^ [SV245: $i] : ( SV245 = omega ) ))]]) ).
thf(2857,plain,
! [SV109: $i > $o,SV213: $i,SV242: $i] :
( ( ( SV242 = sK40_SX0 )
= $false )
| ( ( ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV242 )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV213
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1850:[bind(SV60,$thf( ^ [SV246: $i] : ( SV246 = sK40_SX0 ) ))]]) ).
thf(2858,plain,
! [SV109: $i > $o,SV213: $i,SV242: $i] :
( ( ( SV242 = emptyset )
= $false )
| ( ( ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV242 )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV213
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1850:[bind(SV60,$thf( ^ [SV247: $i] : ( SV247 = emptyset ) ))]]) ).
thf(2859,plain,
! [SV109: $i > $o,SV213: $i,SV242: $i] :
( ( ( SV242 = sK24_SX0 )
= $false )
| ( ( ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV242 )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV213
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1850:[bind(SV60,$thf( ^ [SV248: $i] : ( SV248 = sK24_SX0 ) ))]]) ).
thf(2862,plain,
! [SV258: $i > $o,SV213: $i,SV242: $i,SV60: $i > $o] :
( ( ( SV60 @ SV242 )
= $false )
| ( ( ( sK98_SY157 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= SV242 )
= $true )
| ( ( ~ ( SV258 @ SV213 ) )
= $false )
| ( ( ~ ( SV258
@ ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[1850:[bind(SV109,$thf( ^ [SV257: $i] : ~ ( SV258 @ SV257 ) ))]]) ).
thf(2863,plain,
! [SV213: $i,SV242: $i,SV60: $i > $o] :
( ( ( SV60 @ SV242 )
= $false )
| ( ( ( sK98_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= SV242 )
= $true )
| ( ( SV213 = omega )
= $false )
| ( ( ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(prim_subst,[status(thm)],[1850:[bind(SV109,$thf( ^ [SV253: $i] : ( SV253 = omega ) ))]]) ).
thf(2864,plain,
! [SV213: $i,SV242: $i,SV60: $i > $o] :
( ( ( SV60 @ SV242 )
= $false )
| ( ( ( sK98_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= SV242 )
= $true )
| ( ( SV213 = sK40_SX0 )
= $false )
| ( ( ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1850:[bind(SV109,$thf( ^ [SV254: $i] : ( SV254 = sK40_SX0 ) ))]]) ).
thf(2865,plain,
! [SV213: $i,SV242: $i,SV60: $i > $o] :
( ( ( SV60 @ SV242 )
= $false )
| ( ( ( sK98_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= SV242 )
= $true )
| ( ( SV213 = emptyset )
= $false )
| ( ( ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[1850:[bind(SV109,$thf( ^ [SV255: $i] : ( SV255 = emptyset ) ))]]) ).
thf(2866,plain,
! [SV213: $i,SV242: $i,SV60: $i > $o] :
( ( ( SV60 @ SV242 )
= $false )
| ( ( ( sK98_SY157 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= SV242 )
= $true )
| ( ( SV213 = sK24_SX0 )
= $false )
| ( ( ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[1850:[bind(SV109,$thf( ^ [SV256: $i] : ( SV256 = sK24_SX0 ) ))]]) ).
thf(2867,plain,
! [SV5: $o] :
( ( SV5 = $false )
| ( ( SV5
= ( ~ ( in @ emptyset @ ( prop2set @ SV5 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[380]) ).
thf(2868,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( SV24
= ( ~ ( set2prop @ ( prop2set @ SV24 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[398]) ).
thf(2869,plain,
! [SV25: $i,SV126: $o] :
( ( SV126 = $true )
| ( ( SV126
= ( ~ ( in @ SV25 @ emptyset ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[465]) ).
thf(2870,plain,
! [SV57: $o,SV104: $i] :
( ( SV57 = $true )
| ( ( SV57
= ( ~ ( in @ SV104 @ ( prop2set @ SV57 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[497]) ).
thf(2871,plain,
! [SV59: $i > $o,SV108: $i] :
( ( ( SV59 @ SV108 )
= $true )
| ( ( ( SV59 @ SV108 )
= ( ~ ( in @ SV108 @ emptyset ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[501]) ).
thf(2872,plain,
! [SV26: $i] :
( ( ( SV26 = emptyset )
= $true )
| ( ( ( in @ ( sK4_SY70 @ SV26 ) @ SV26 )
= ( SV26 = emptyset ) )
= $false ) ),
inference(fac_restr,[status(thm)],[533]) ).
thf(2873,plain,
! [SV39: $i] :
( ( ( SV39 = emptyset )
= $true )
| ( ( ( in @ ( sK5_SY94 @ SV39 ) @ SV39 )
= ( SV39 = emptyset ) )
= $false ) ),
inference(fac_restr,[status(thm)],[539]) ).
thf(2874,plain,
! [SV100: $i > $o,SV50: $i,SV122: $i] :
( ( ( SV100 @ SV122 )
= $true )
| ( ( ( SV100 @ SV122 )
= ( ~ ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SY233: $i] : ( SV100 @ SY233 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[551]) ).
thf(2875,plain,
! [SV40: $i] :
( ( ( SV40 = emptyset )
= $true )
| ( ( ( in @ ( sK13_SY95 @ SV40 ) @ SV40 )
= ( SV40 = emptyset ) )
= $false ) ),
inference(fac_restr,[status(thm)],[654]) ).
thf(2876,plain,
! [SV101: $i,SV54: $i] :
( ( ( in @ SV101 @ ( powerset @ SV54 ) )
= $true )
| ( ( ( in @ ( sK9_SY234 @ SV54 @ SV101 ) @ SV101 )
= ( in @ SV101 @ ( powerset @ SV54 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[669]) ).
thf(2877,plain,
! [SV141: $i,SV63: $i] :
( ( ( in @ SV141 @ SV63 )
= $false )
| ( ( ( SV63 = emptyset )
= ( in @ SV141 @ SV63 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[677]) ).
thf(2878,plain,
! [SV23: $i] :
( ( ( SV23 = emptyset )
= $true )
| ( ( ( in @ ( sK12_SY68 @ SV23 ) @ SV23 )
= ( SV23 = emptyset ) )
= $false ) ),
inference(fac_restr,[status(thm)],[820]) ).
thf(2880,plain,
! [SV97: $i,SV47: $i] :
( ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $true )
| ( ( ( in @ ( sK21_SY226 @ SV47 @ SV97 ) @ SV97 )
= ( in @ SV97 @ ( powerset @ SV47 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[841]) ).
thf(2881,plain,
! [SV5: $o] :
( ( ( ~ ( SV5
| ~ ( in @ emptyset @ ( prop2set @ SV5 ) ) )
| ~ ( ~ SV5
| ~ ~ ( in @ emptyset @ ( prop2set @ SV5 ) ) ) )
= $false )
| ( SV5 = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2867]) ).
thf(2883,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| ~ ( set2prop @ ( prop2set @ SV24 ) ) )
| ~ ( ~ SV24
| ~ ~ ( set2prop @ ( prop2set @ SV24 ) ) ) )
= $false )
| ( SV24 = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2868]) ).
thf(2885,plain,
! [SV25: $i,SV126: $o] :
( ( ( ~ ( SV126
| ~ ( in @ SV25 @ emptyset ) )
| ~ ( ~ SV126
| ~ ~ ( in @ SV25 @ emptyset ) ) )
= $false )
| ( SV126 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2869]) ).
thf(2886,plain,
! [SV25: $i,SV126: $o] :
( ( ( SV126
= ( ~ ( in @ SV25 @ emptyset ) ) )
= $false )
| ( SV126 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2869]) ).
thf(2887,plain,
! [SV104: $i,SV57: $o] :
( ( ( ~ ( SV57
| ~ ( in @ SV104 @ ( prop2set @ SV57 ) ) )
| ~ ( ~ SV57
| ~ ~ ( in @ SV104 @ ( prop2set @ SV57 ) ) ) )
= $false )
| ( SV57 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2870]) ).
thf(2889,plain,
! [SV108: $i,SV59: $i > $o] :
( ( ( ~ ( ( SV59 @ SV108 )
| ~ ( in @ SV108 @ emptyset ) )
| ~ ( ~ ( SV59 @ SV108 )
| ~ ~ ( in @ SV108 @ emptyset ) ) )
= $false )
| ( ( SV59 @ SV108 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2871]) ).
thf(2891,plain,
! [SV26: $i] :
( ( ( ~ ( ( in @ ( sK4_SY70 @ SV26 ) @ SV26 )
| ( SV26 = emptyset ) )
| ~ ( ~ ( in @ ( sK4_SY70 @ SV26 ) @ SV26 )
| ( SV26 != emptyset ) ) )
= $false )
| ( ( SV26 = emptyset )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2872]) ).
thf(2893,plain,
! [SV39: $i] :
( ( ( ~ ( ( in @ ( sK5_SY94 @ SV39 ) @ SV39 )
| ( SV39 = emptyset ) )
| ~ ( ~ ( in @ ( sK5_SY94 @ SV39 ) @ SV39 )
| ( SV39 != emptyset ) ) )
= $false )
| ( ( SV39 = emptyset )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2873]) ).
thf(2895,plain,
! [SV50: $i,SV122: $i,SV100: $i > $o] :
( ( ( ~ ( ( SV100 @ SV122 )
| ~ ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SY233: $i] : ( SV100 @ SY233 ) ) ) )
| ~ ( ~ ( SV100 @ SV122 )
| ~ ~ ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SY233: $i] : ( SV100 @ SY233 ) ) ) ) )
= $false )
| ( ( SV100 @ SV122 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2874]) ).
thf(2897,plain,
! [SV40: $i] :
( ( ( ~ ( ( in @ ( sK13_SY95 @ SV40 ) @ SV40 )
| ( SV40 = emptyset ) )
| ~ ( ~ ( in @ ( sK13_SY95 @ SV40 ) @ SV40 )
| ( SV40 != emptyset ) ) )
= $false )
| ( ( SV40 = emptyset )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2875]) ).
thf(2899,plain,
! [SV101: $i,SV54: $i] :
( ( ( ~ ( ( in @ ( sK9_SY234 @ SV54 @ SV101 ) @ SV101 )
| ( in @ SV101 @ ( powerset @ SV54 ) ) )
| ~ ( ~ ( in @ ( sK9_SY234 @ SV54 @ SV101 ) @ SV101 )
| ~ ( in @ SV101 @ ( powerset @ SV54 ) ) ) )
= $false )
| ( ( in @ SV101 @ ( powerset @ SV54 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2876]) ).
thf(2901,plain,
! [SV141: $i,SV63: $i] :
( ( ( ~ ( ( SV63 = emptyset )
| ( in @ SV141 @ SV63 ) )
| ~ ( ( SV63 != emptyset )
| ~ ( in @ SV141 @ SV63 ) ) )
= $false )
| ( ( in @ SV141 @ SV63 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2877]) ).
thf(2903,plain,
! [SV23: $i] :
( ( ( ~ ( ( in @ ( sK12_SY68 @ SV23 ) @ SV23 )
| ( SV23 = emptyset ) )
| ~ ( ~ ( in @ ( sK12_SY68 @ SV23 ) @ SV23 )
| ( SV23 != emptyset ) ) )
= $false )
| ( ( SV23 = emptyset )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2878]) ).
thf(2907,plain,
! [SV97: $i,SV47: $i] :
( ( ( ~ ( ( in @ ( sK21_SY226 @ SV47 @ SV97 ) @ SV97 )
| ( in @ SV97 @ ( powerset @ SV47 ) ) )
| ~ ( ~ ( in @ ( sK21_SY226 @ SV47 @ SV97 ) @ SV97 )
| ~ ( in @ SV97 @ ( powerset @ SV47 ) ) ) )
= $false )
| ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2880]) ).
thf(2910,plain,
! [SV5: $o] :
( ( ( ~ ( ~ SV5
| ~ ~ ( in @ emptyset @ ( prop2set @ SV5 ) ) ) )
= $false )
| ( SV5 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2881]) ).
thf(2912,plain,
! [SV24: $o] :
( ( ( ~ ( ~ SV24
| ~ ~ ( set2prop @ ( prop2set @ SV24 ) ) ) )
= $false )
| ( SV24 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2883]) ).
thf(2913,plain,
! [SV25: $i,SV126: $o] :
( ( ( ~ ( SV126
| ~ ( in @ SV25 @ emptyset ) ) )
= $false )
| ( SV126 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2885]) ).
thf(2915,plain,
! [SV104: $i,SV57: $o] :
( ( ( ~ ( SV57
| ~ ( in @ SV104 @ ( prop2set @ SV57 ) ) ) )
= $false )
| ( SV57 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2887]) ).
thf(2917,plain,
! [SV108: $i,SV59: $i > $o] :
( ( ( ~ ( ( SV59 @ SV108 )
| ~ ( in @ SV108 @ emptyset ) ) )
= $false )
| ( ( SV59 @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2889]) ).
thf(2919,plain,
! [SV26: $i] :
( ( ( ~ ( ( in @ ( sK4_SY70 @ SV26 ) @ SV26 )
| ( SV26 = emptyset ) ) )
= $false )
| ( ( SV26 = emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2891]) ).
thf(2921,plain,
! [SV39: $i] :
( ( ( ~ ( ( in @ ( sK5_SY94 @ SV39 ) @ SV39 )
| ( SV39 = emptyset ) ) )
= $false )
| ( ( SV39 = emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2893]) ).
thf(2923,plain,
! [SV50: $i,SV122: $i,SV100: $i > $o] :
( ( ( ~ ( ( SV100 @ SV122 )
| ~ ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SY233: $i] : ( SV100 @ SY233 ) ) ) ) )
= $false )
| ( ( SV100 @ SV122 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2895]) ).
thf(2925,plain,
! [SV40: $i] :
( ( ( ~ ( ( in @ ( sK13_SY95 @ SV40 ) @ SV40 )
| ( SV40 = emptyset ) ) )
= $false )
| ( ( SV40 = emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2897]) ).
thf(2927,plain,
! [SV101: $i,SV54: $i] :
( ( ( ~ ( ( in @ ( sK9_SY234 @ SV54 @ SV101 ) @ SV101 )
| ( in @ SV101 @ ( powerset @ SV54 ) ) ) )
= $false )
| ( ( in @ SV101 @ ( powerset @ SV54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2899]) ).
thf(2930,plain,
! [SV141: $i,SV63: $i] :
( ( ( ~ ( ( SV63 != emptyset )
| ~ ( in @ SV141 @ SV63 ) ) )
= $false )
| ( ( in @ SV141 @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2901]) ).
thf(2931,plain,
! [SV23: $i] :
( ( ( ~ ( ( in @ ( sK12_SY68 @ SV23 ) @ SV23 )
| ( SV23 = emptyset ) ) )
= $false )
| ( ( SV23 = emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2903]) ).
thf(2935,plain,
! [SV97: $i,SV47: $i] :
( ( ( ~ ( ( in @ ( sK21_SY226 @ SV47 @ SV97 ) @ SV97 )
| ( in @ SV97 @ ( powerset @ SV47 ) ) ) )
= $false )
| ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2907]) ).
thf(2938,plain,
! [SV5: $o] :
( ( ( ~ SV5
| ~ ~ ( in @ emptyset @ ( prop2set @ SV5 ) ) )
= $true )
| ( SV5 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2910]) ).
thf(2940,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ ~ ( set2prop @ ( prop2set @ SV24 ) ) )
= $true )
| ( SV24 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2912]) ).
thf(2941,plain,
! [SV25: $i,SV126: $o] :
( ( ( SV126
| ~ ( in @ SV25 @ emptyset ) )
= $true )
| ( SV126 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2913]) ).
thf(2943,plain,
! [SV104: $i,SV57: $o] :
( ( ( SV57
| ~ ( in @ SV104 @ ( prop2set @ SV57 ) ) )
= $true )
| ( SV57 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2915]) ).
thf(2945,plain,
! [SV108: $i,SV59: $i > $o] :
( ( ( ( SV59 @ SV108 )
| ~ ( in @ SV108 @ emptyset ) )
= $true )
| ( ( SV59 @ SV108 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2917]) ).
thf(2947,plain,
! [SV26: $i] :
( ( ( ( in @ ( sK4_SY70 @ SV26 ) @ SV26 )
| ( SV26 = emptyset ) )
= $true )
| ( ( SV26 = emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2919]) ).
thf(2949,plain,
! [SV39: $i] :
( ( ( ( in @ ( sK5_SY94 @ SV39 ) @ SV39 )
| ( SV39 = emptyset ) )
= $true )
| ( ( SV39 = emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2921]) ).
thf(2951,plain,
! [SV50: $i,SV122: $i,SV100: $i > $o] :
( ( ( ( SV100 @ SV122 )
| ~ ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SY233: $i] : ( SV100 @ SY233 ) ) ) )
= $true )
| ( ( SV100 @ SV122 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2923]) ).
thf(2953,plain,
! [SV40: $i] :
( ( ( ( in @ ( sK13_SY95 @ SV40 ) @ SV40 )
| ( SV40 = emptyset ) )
= $true )
| ( ( SV40 = emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2925]) ).
thf(2955,plain,
! [SV101: $i,SV54: $i] :
( ( ( ( in @ ( sK9_SY234 @ SV54 @ SV101 ) @ SV101 )
| ( in @ SV101 @ ( powerset @ SV54 ) ) )
= $true )
| ( ( in @ SV101 @ ( powerset @ SV54 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2927]) ).
thf(2958,plain,
! [SV141: $i,SV63: $i] :
( ( ( ( SV63 != emptyset )
| ~ ( in @ SV141 @ SV63 ) )
= $true )
| ( ( in @ SV141 @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2930]) ).
thf(2959,plain,
! [SV23: $i] :
( ( ( ( in @ ( sK12_SY68 @ SV23 ) @ SV23 )
| ( SV23 = emptyset ) )
= $true )
| ( ( SV23 = emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2931]) ).
thf(2963,plain,
! [SV97: $i,SV47: $i] :
( ( ( ( in @ ( sK21_SY226 @ SV47 @ SV97 ) @ SV97 )
| ( in @ SV97 @ ( powerset @ SV47 ) ) )
= $true )
| ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2935]) ).
thf(2966,plain,
! [SV5: $o] :
( ( ( ~ SV5 ) = $true )
| ( ( ~ ~ ( in @ emptyset @ ( prop2set @ SV5 ) ) )
= $true )
| ( SV5 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2938]) ).
thf(2968,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $true )
| ( ( ~ ~ ( set2prop @ ( prop2set @ SV24 ) ) )
= $true )
| ( SV24 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2940]) ).
thf(2969,plain,
! [SV25: $i,SV126: $o] :
( ( SV126 = $true )
| ( ( ~ ( in @ SV25 @ emptyset ) )
= $true )
| ( SV126 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2941]) ).
thf(2971,plain,
! [SV104: $i,SV57: $o] :
( ( SV57 = $true )
| ( ( ~ ( in @ SV104 @ ( prop2set @ SV57 ) ) )
= $true )
| ( SV57 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2943]) ).
thf(2973,plain,
! [SV108: $i,SV59: $i > $o] :
( ( ( SV59 @ SV108 )
= $true )
| ( ( ~ ( in @ SV108 @ emptyset ) )
= $true )
| ( ( SV59 @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2945]) ).
thf(2975,plain,
! [SV26: $i] :
( ( ( in @ ( sK4_SY70 @ SV26 ) @ SV26 )
= $true )
| ( ( SV26 = emptyset )
= $true )
| ( ( SV26 = emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2947]) ).
thf(2977,plain,
! [SV39: $i] :
( ( ( in @ ( sK5_SY94 @ SV39 ) @ SV39 )
= $true )
| ( ( SV39 = emptyset )
= $true )
| ( ( SV39 = emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2949]) ).
thf(2979,plain,
! [SV50: $i,SV122: $i,SV100: $i > $o] :
( ( ( SV100 @ SV122 )
= $true )
| ( ( ~ ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SY233: $i] : ( SV100 @ SY233 ) ) ) )
= $true )
| ( ( SV100 @ SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2951]) ).
thf(2981,plain,
! [SV40: $i] :
( ( ( in @ ( sK13_SY95 @ SV40 ) @ SV40 )
= $true )
| ( ( SV40 = emptyset )
= $true )
| ( ( SV40 = emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2953]) ).
thf(2983,plain,
! [SV101: $i,SV54: $i] :
( ( ( in @ ( sK9_SY234 @ SV54 @ SV101 ) @ SV101 )
= $true )
| ( ( in @ SV101 @ ( powerset @ SV54 ) )
= $true )
| ( ( in @ SV101 @ ( powerset @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2955]) ).
thf(2986,plain,
! [SV141: $i,SV63: $i] :
( ( ( SV63 != emptyset )
= $true )
| ( ( ~ ( in @ SV141 @ SV63 ) )
= $true )
| ( ( in @ SV141 @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2958]) ).
thf(2987,plain,
! [SV23: $i] :
( ( ( in @ ( sK12_SY68 @ SV23 ) @ SV23 )
= $true )
| ( ( SV23 = emptyset )
= $true )
| ( ( SV23 = emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2959]) ).
thf(2991,plain,
! [SV97: $i,SV47: $i] :
( ( ( in @ ( sK21_SY226 @ SV47 @ SV97 ) @ SV97 )
= $true )
| ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $true )
| ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2963]) ).
thf(2994,plain,
! [SV5: $o] :
( ( SV5 = $false )
| ( ( ~ ~ ( in @ emptyset @ ( prop2set @ SV5 ) ) )
= $true )
| ( SV5 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2966]) ).
thf(2996,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ~ ( set2prop @ ( prop2set @ SV24 ) ) )
= $true )
| ( SV24 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2968]) ).
thf(2997,plain,
! [SV126: $o,SV25: $i] :
( ( ( in @ SV25 @ emptyset )
= $false )
| ( SV126 = $true )
| ( SV126 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2969]) ).
thf(2999,plain,
! [SV57: $o,SV104: $i] :
( ( ( in @ SV104 @ ( prop2set @ SV57 ) )
= $false )
| ( SV57 = $true )
| ( SV57 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2971]) ).
thf(3001,plain,
! [SV59: $i > $o,SV108: $i] :
( ( ( in @ SV108 @ emptyset )
= $false )
| ( ( SV59 @ SV108 )
= $true )
| ( ( SV59 @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2973]) ).
thf(3005,plain,
! [SV100: $i > $o,SV50: $i,SV122: $i] :
( ( ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SY233: $i] : ( SV100 @ SY233 ) ) )
= $false )
| ( ( SV100 @ SV122 )
= $true )
| ( ( SV100 @ SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2979]) ).
thf(3009,plain,
! [SV141: $i,SV63: $i] :
( ( ( SV63 = emptyset )
= $false )
| ( ( ~ ( in @ SV141 @ SV63 ) )
= $true )
| ( ( in @ SV141 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2986]) ).
thf(3013,plain,
! [SV5: $o] :
( ( ( ~ ( in @ emptyset @ ( prop2set @ SV5 ) ) )
= $false )
| ( SV5 = $false )
| ( SV5 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2994]) ).
thf(3014,plain,
! [SV24: $o] :
( ( ( ~ ( set2prop @ ( prop2set @ SV24 ) ) )
= $false )
| ( SV24 = $false )
| ( SV24 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2996]) ).
thf(3023,plain,
! [SV63: $i,SV141: $i] :
( ( ( in @ SV141 @ SV63 )
= $false )
| ( ( SV63 = emptyset )
= $false )
| ( ( in @ SV141 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3009]) ).
thf(3027,plain,
! [SV5: $o] :
( ( ( in @ emptyset @ ( prop2set @ SV5 ) )
= $true )
| ( SV5 = $false )
| ( SV5 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3013]) ).
thf(3028,plain,
! [SV24: $o] :
( ( ( set2prop @ ( prop2set @ SV24 ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3014]) ).
thf(3033,plain,
! [SV25: $i] :
( ( ~ ( in @ SV25 @ emptyset ) )
= $true ),
inference(extuni,[status(esa)],[2886:[bind(SV126,$thf( ~ ( in @ SV25 @ emptyset ) ))]]) ).
thf(3037,plain,
! [SV141: $i] :
( ( ( in @ SV141 @ emptyset )
= $false )
| ( ( in @ SV141 @ emptyset )
= $false ) ),
inference(extuni,[status(esa)],[3023:[bind(SV63,$thf( emptyset ))]]) ).
thf(3042,plain,
! [SV89: $i] :
( ( in @ SV89 @ ( setadjoin @ SV89 @ emptyset ) )
= $true ),
inference(extuni,[status(esa)],[476:[bind(SV36,$thf( SV89 ))]]) ).
thf(3043,plain,
! [SV141: $i] :
( ( in @ SV141 @ emptyset )
= $false ),
inference(extuni,[status(esa)],[677:[bind(SV63,$thf( emptyset ))]]) ).
thf(3045,plain,
! [SV71: $i,SV4: $i] :
( ( in @ SV4 @ ( setadjoin @ SV4 @ SV71 ) )
= $true ),
inference(extuni,[status(esa)],[738:[bind(SV114,$thf( SV4 ))]]) ).
thf(3047,plain,
( ( ( sK1_Xphi @ sK99_E )
= $true )
| ( ( sK2_SY0 @ sK99_E )
= $true ) ),
inference(extuni,[status(esa)],[860]) ).
thf(3048,plain,
( ( ( sK1_Xphi @ sK99_E )
= $false )
| ( ( sK2_SY0 @ sK99_E )
= $false ) ),
inference(extuni,[status(esa)],[860]) ).
thf(3049,plain,
! [SV154: $i] :
( ( ( sK2_SY0 @ SV154 )
= $true )
| ( ( sK1_Xphi @ SV154 )
= $false ) ),
inference(extuni,[status(esa)],[980:[bind(SV150,$thf( SV154 ))]]) ).
thf(3050,plain,
! [SV155: $i] :
( ( ( sK1_Xphi @ SV155 )
= $true )
| ( ( sK2_SY0 @ SV155 )
= $false ) ),
inference(extuni,[status(esa)],[981:[bind(SV151,$thf( SV155 ))]]) ).
thf(3053,plain,
! [SV131: $i,SV18: $i > $o] :
( ( ( SV18 @ ( sK35_SY284 @ SV131 @ SV18 ) )
= $true )
| ( ( SV18 @ SV131 )
= $false )
| ( ( SV18 @ ( sK51_SY57 @ SV131 @ SV18 ) )
= $true ) ),
inference(extuni,[status(esa)],[1404:[bind(SV187,$thf( sK51_SY57 @ SV131 @ SV18 ))]]) ).
thf(3054,plain,
! [SV131: $i] :
( ( ( ( sK35_SY284 @ SV131
@ ^ [SX0: $i] : ( SX0 = SV131 ) )
= SV131 )
= $true )
| ( ( ( sK51_SY57 @ SV131
@ ^ [SX0: $i] : ( SX0 = SV131 ) )
= SV131 )
= $true ) ),
inference(extuni,[status(esa)],[1857:[bind(SV187,$thf( sK51_SY57 @ SV131 @ ^ [SX0: $i] : ( SX0 = SV131 ) ))]]) ).
thf(3055,plain,
! [SV25: $i] :
( ( in @ SV25 @ emptyset )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3033]) ).
thf(3056,plain,
! [SV443: $o] :
( ( SV443 = $true )
| ( ( in @ emptyset @ ( prop2set @ ~ SV443 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1860]) ).
thf(3057,plain,
! [SV442: $o] :
( ( SV442 = $true )
| ( ( set2prop @ ( prop2set @ ~ SV442 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1863]) ).
thf(3058,plain,
! [SV25: $i,SV441: $o] :
( ( SV441 = $false )
| ( ( in @ SV25 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1866]) ).
thf(3059,plain,
! [SV104: $i,SV440: $o] :
( ( SV440 = $false )
| ( ( in @ SV104 @ ( prop2set @ ~ SV440 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1869]) ).
thf(3060,plain,
! [SV108: $i,SV437: $i > $o] :
( ( ( SV437 @ SV108 )
= $false )
| ( ( in @ SV108 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1872]) ).
thf(3061,plain,
! [SV50: $i,SV122: $i,SV429: $i > $o] :
( ( ( SV429 @ SV122 )
= $false )
| ( ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SX0: $i] :
~ ( SV429 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1879]) ).
thf(3062,plain,
! [SV11: $i,SV116: $i,SV421: $i > $o] :
( ( ( SV421 @ SV116 )
= $true )
| ( ( in @ SV116
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] :
~ ( SV421 @ SX0 ) ) )
= $true )
| ( ( in @ SV116 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1886]) ).
thf(3064,plain,
! [SV13: $i,SV78: $i,SV407: $o] :
( ( SV407 = $false )
| ( ( in @ SV78 @ ( sK18_SY283 @ ~ SV407 @ SV13 @ SV78 ) )
= $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1900]) ).
thf(3066,plain,
! [SV48: $i,SV121: $i,SV404: $i > $o] :
( ( ( SV404 @ SV121 )
= $false )
| ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] :
~ ( SV404 @ SX0 ) ) )
= $false )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1906]) ).
thf(3067,plain,
! [SV48: $i,SV121: $i,SV404: $i > $o] :
( ( ( SV404 @ SV121 )
= $true )
| ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] :
~ ( SV404 @ SX0 ) ) )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1913]) ).
thf(3068,plain,
! [SV78: $i,SV13: $i,SV407: $o] :
( ( SV407 = $false )
| ( ( in @ ( sK18_SY283 @ ~ SV407 @ SV13 @ SV78 ) @ SV13 )
= $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1920]) ).
thf(3074,plain,
! [SV140: $i,SV395: $i > $o] :
( ( ( SV395
@ ( sK39_SY294 @ SV140
@ ^ [SX0: $i] :
~ ( SV395 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV395 @ SV140 ) )
= $false )
| ( ( ~ ( SV395
@ ( descr
@ ^ [SX0: $i] :
~ ( SV395 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1946]) ).
thf(3075,plain,
! [SV7: $i,SV143: $i,SV379: $i > $o] :
( ( ( SV379 @ SV143 )
= $false )
| ( ( in
@ ( sK29_SY195 @ SV143
@ ^ [SX0: $i] :
~ ( SV379 @ SX0 )
@ SV7 )
@ SV7 )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1953]) ).
thf(3076,plain,
! [SV43: $i,SV147: $i,SV371: $i > $o] :
( ( ( SV371 @ SV147 )
= $false )
| ( ( in
@ ( sK32_SY219 @ SV147
@ ^ [SX0: $i] :
~ ( SV371 @ SX0 )
@ SV43 )
@ SV43 )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1960]) ).
thf(3077,plain,
! [SV46: $i,SV96: $i,SV120: $i,SV398: $o] :
( ( SV398 = $false )
| ( ( in @ SV120 @ SV96 )
= $true )
| ( ( SV120 = SV46 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1967]) ).
thf(3078,plain,
! [SV7: $i,SV143: $i,SV379: $i > $o] :
( ( ( SV379
@ ( sK29_SY195 @ SV143
@ ^ [SX0: $i] :
~ ( SV379 @ SX0 )
@ SV7 ) )
= $true )
| ( ( ~ ( SV379 @ SV143 ) )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1970]) ).
thf(3079,plain,
! [SV8: $i,SV163: $i,SV363: $i > $o] :
( ( ( SV363 @ SV163 )
= $true )
| ( ( in @ SV163 @ SV8 )
= $false )
| ( ( in
@ ( sK15_SY196
@ ^ [SX0: $i] :
~ ( SV363 @ SX0 )
@ SV8 )
@ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1977]) ).
thf(3080,plain,
! [SV8: $i,SV164: $i,SV363: $i > $o] :
( ( ( SV363 @ SV164 )
= $true )
| ( ( in @ SV164 @ SV8 )
= $false )
| ( ( ~ ( SV363
@ ( sK15_SY196
@ ^ [SX0: $i] :
~ ( SV363 @ SX0 )
@ SV8 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1984]) ).
thf(3081,plain,
! [SV22: $i,SV158: $i,SV355: $i > $o] :
( ( ( SV355 @ SV158 )
= $true )
| ( ( in @ SV158 @ SV22 )
= $false )
| ( ( in
@ ( sK7_SY208
@ ^ [SX0: $i] :
~ ( SV355 @ SX0 )
@ SV22 )
@ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1991]) ).
thf(3082,plain,
! [SV22: $i,SV159: $i,SV355: $i > $o] :
( ( ( SV355 @ SV159 )
= $true )
| ( ( in @ SV159 @ SV22 )
= $false )
| ( ( ~ ( SV355
@ ( sK7_SY208
@ ^ [SX0: $i] :
~ ( SV355 @ SX0 )
@ SV22 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1998]) ).
thf(3083,plain,
! [SV29: $i,SV144: $i,SV347: $i > $o] :
( ( ( SV347
@ ( sK45_SY211 @ SV144
@ ^ [SX0: $i] :
~ ( SV347 @ SX0 )
@ SV29 ) )
= $true )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( ~ ( SV347 @ SV144 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2005]) ).
thf(3084,plain,
! [SV43: $i,SV147: $i,SV371: $i > $o] :
( ( ( SV371
@ ( sK32_SY219 @ SV147
@ ^ [SX0: $i] :
~ ( SV371 @ SX0 )
@ SV43 ) )
= $true )
| ( ( ~ ( SV371 @ SV147 ) )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2012]) ).
thf(3085,plain,
! [SV45: $i,SV165: $i,SV339: $i > $o] :
( ( ( SV339 @ SV165 )
= $true )
| ( ( in @ SV165 @ SV45 )
= $false )
| ( ( in
@ ( sK17_SY221
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV45 )
@ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2019]) ).
thf(3086,plain,
! [SV45: $i,SV166: $i,SV339: $i > $o] :
( ( ( SV339 @ SV166 )
= $true )
| ( ( in @ SV166 @ SV45 )
= $false )
| ( ( ~ ( SV339
@ ( sK17_SY221
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV45 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2026]) ).
thf(3088,plain,
! [SV29: $i,SV144: $i,SV347: $i > $o] :
( ( ( SV347 @ SV144 )
= $false )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( in
@ ( sK45_SY211 @ SV144
@ ^ [SX0: $i] :
~ ( SV347 @ SX0 )
@ SV29 )
@ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2040]) ).
thf(3089,plain,
! [SV139: $i,SV331: $i > $o] :
( ( ( SV331
@ ( sK55_SY161 @ SV139
@ ^ [SX0: $i] :
~ ( SV331 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV331 @ SV139 ) )
= $false )
| ( ( ~ ( SV331
@ ( sK38_SY293 @ SV139
@ ^ [SX0: $i] :
~ ( SV331 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2047]) ).
thf(3092,plain,
! [SV132: $i,SV307: $i > $o] :
( ( ( SV307
@ ( sK43_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV307
@ ( sK26_SY60 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV307 @ SV132 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2068]) ).
thf(3096,plain,
! [SV127: $i,SV171: $i,SV179: $i,SV323: $i > $o] :
( ( ( SV323 @ SV179 )
= $true )
| ( ( SV171 = SV179 )
= $true )
| ( ( ~ ( SV323 @ SV171 ) )
= $false )
| ( ( ~ ( SV323 @ SV127 ) )
= $false )
| ( ( ~ ( SV323
@ ( sK33_SY280 @ SV127
@ ^ [SX0: $i] :
~ ( SV323 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2096]) ).
thf(3097,plain,
! [SV129: $i,SV315: $i > $o] :
( ( ( SV315
@ ( sK50_SY36 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV315 @ SV129 ) )
= $false )
| ( ( ~ ( SV315
@ ( sK34_SY282 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2103]) ).
thf(3098,plain,
! [SV132: $i,SV307: $i > $o] :
( ( ( SV307
@ ( sK52_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV307
@ ( sK30_SY307 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV307 @ SV132 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2110]) ).
thf(3099,plain,
! [SV133: $i,SV173: $i,SV180: $i,SV299: $i > $o] :
( ( ( SV299 @ SV180 )
= $true )
| ( ( SV173 = SV180 )
= $true )
| ( ( ~ ( SV299 @ SV173 ) )
= $false )
| ( ( ~ ( SV299 @ SV133 ) )
= $false )
| ( ( ~ ( SV299
@ ( sK36_SY285 @ SV133
@ ^ [SX0: $i] :
~ ( SV299 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2117]) ).
thf(3101,plain,
! [SV136: $i,SV291: $i > $o] :
( ( ( SV291
@ ( sK54_SY101 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV291 @ SV136 ) )
= $false )
| ( ( ~ ( SV291
@ ( sK37_SY288 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2131]) ).
thf(3107,plain,
! [SV132: $i,SV192: $i,SV307: $i > $o] :
( ( ( SV307 @ SV192 )
= $true )
| ( ( ( sK43_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) )
= SV192 )
= $true )
| ( ( ~ ( SV307
@ ( sK26_SY60 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV307 @ SV132 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2173]) ).
thf(3109,plain,
! [SV134: $i,SV283: $i > $o] :
( ( ( SV283
@ ( sK58_SY85 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV283
@ ( sK16_SY286 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) ) )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) )
= SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2187]) ).
thf(3111,plain,
! [SV129: $i,SV197: $i,SV315: $i > $o] :
( ( ( SV315 @ SV197 )
= $true )
| ( ( ( sK50_SY36 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) )
= SV197 )
= $true )
| ( ( ~ ( SV315 @ SV129 ) )
= $false )
| ( ( ~ ( SV315
@ ( sK34_SY282 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2201]) ).
thf(3112,plain,
! [SV131: $i,SV187: $i,SV275: $i > $o] :
( ( ( SV275 @ SV187 )
= $true )
| ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV275 @ SV131 ) )
= $false )
| ( ( ~ ( SV275
@ ( sK35_SY284 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2208]) ).
thf(3113,plain,
! [SV131: $i,SV187: $i,SV275: $i > $o] :
( ( ( SV275 @ SV187 )
= $false )
| ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV275 @ SV131 ) )
= $false )
| ( ( ~ ( SV275
@ ( sK35_SY284 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2215]) ).
thf(3114,plain,
! [SV132: $i,SV198: $i,SV307: $i > $o] :
( ( ( SV307 @ SV198 )
= $true )
| ( ( ( sK52_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) )
= SV198 )
= $true )
| ( ( ~ ( SV307
@ ( sK30_SY307 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV307 @ SV132 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2222]) ).
thf(3116,plain,
! [SV136: $i,SV200: $i,SV291: $i > $o] :
( ( ( SV291 @ SV200 )
= $true )
| ( ( ( sK54_SY101 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) )
= SV200 )
= $true )
| ( ( ~ ( SV291 @ SV136 ) )
= $false )
| ( ( ~ ( SV291
@ ( sK37_SY288 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2236]) ).
thf(3117,plain,
! [SV102: $i,SV161: $i,SV265: $i > $i > $o] :
( ( ( SV265
@ ( sK60_SY311 @ SV161
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV161 )
= $false )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $false )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2248]) ).
thf(3121,plain,
! [SV102: $i,SV161: $i,SV189: $i,SV265: $i > $i > $o] :
( ( ( SV265 @ SV189 @ SV161 )
= $true )
| ( ( in @ SV189 @ SV102 )
= $false )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $true )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2267]) ).
thf(3122,plain,
! [SV102: $i,SV161: $i,SV189: $i] :
( ( ( SV189 = SV161 )
= $true )
| ( ( in @ SV189 @ SV102 )
= $false )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV102 ) )
= $true )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV102 )
@ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2268]) ).
thf(3123,plain,
! [SV134: $i,SV211: $i,SV283: $i > $o] :
( ( ( SV283 @ SV211 )
= $true )
| ( ( ( sK58_SY85 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) )
= SV211 )
= $true )
| ( ( ~ ( SV283
@ ( sK16_SY286 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) ) )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) )
= SV134 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2272]) ).
thf(3128,plain,
! [SV109: $i > $o,SV182: $i,SV250: $i > $o] :
( ( ( SV250 @ SV182 )
= $true )
| ( ( SV109
@ ( sK70_SY248 @ SV182
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true )
| ( ( ~ ( SV250
@ ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2307]) ).
thf(3129,plain,
! [SV60: $i > $o,SV182: $i,SV258: $i > $o] :
( ( ( SV258
@ ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2314]) ).
thf(3130,plain,
! [SV109: $i > $o,SV183: $i,SV250: $i > $o] :
( ( ( SV250
@ ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2321]) ).
thf(3131,plain,
! [SV60: $i > $o,SV183: $i,SV258: $i > $o] :
( ( ( SV258 @ SV183 )
= $true )
| ( ( SV60
@ ( sK71_SY157 @ SV183
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2328]) ).
thf(3136,plain,
! [SV201: $i,SV153: $i,SV102: $i,SV265: $i > $i > $o] :
( ( ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV153 )
= $true )
| ( ( in @ SV201
@ ( sK61_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $false )
| ( ( in
@ ( sK76_SY350 @ SV153 @ SV201
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV102 )
= $true )
| ( ( ~ ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2345]) ).
thf(3138,plain,
! [SV102: $i,SV201: $i,SV153: $i,SV265: $i > $i > $o] :
( ( ( SV265
@ ( sK76_SY350 @ SV153 @ SV201
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV201 )
= $false )
| ( ( in @ SV201
@ ( sK61_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $false )
| ( ( ~ ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV153 ) )
= $false )
| ( ( ~ ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2350]) ).
thf(3146,plain,
! [SV153: $i,SV102: $i,SV201: $i,SV216: $i,SV265: $i > $i > $o] :
( ( ( SV265 @ SV216 @ SV201 )
= $true )
| ( ( in @ SV216 @ SV102 )
= $false )
| ( ( in @ SV201
@ ( sK61_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $true )
| ( ( ~ ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV153 ) )
= $false )
| ( ( ~ ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2388]) ).
thf(3148,plain,
! [SV220: $i,SV109: $i > $o,SV182: $i,SV250: $i > $o] :
( ( ( SV250 @ SV182 )
= $true )
| ( ( ( sK70_SY248 @ SV182
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 )
= SV220 )
= $true )
| ( ( SV109 @ SV220 )
= $false )
| ( ( ~ ( SV250
@ ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2393]) ).
thf(3149,plain,
! [SV60: $i > $o,SV182: $i,SV220: $i,SV258: $i > $o] :
( ( ( SV258 @ SV220 )
= $true )
| ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) )
= SV220 )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2400]) ).
thf(3150,plain,
! [SV109: $i > $o,SV183: $i,SV221: $i,SV250: $i > $o] :
( ( ( SV250 @ SV221 )
= $true )
| ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= SV221 )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2407]) ).
thf(3151,plain,
! [SV221: $i,SV60: $i > $o,SV183: $i,SV258: $i > $o] :
( ( ( SV258 @ SV183 )
= $true )
| ( ( ( sK71_SY157 @ SV183
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= SV221 )
= $true )
| ( ( SV60 @ SV221 )
= $false )
| ( ( ~ ( SV258
@ ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2414]) ).
thf(3164,plain,
! [SV109: $i > $o,SV202: $i,SV250: $i > $o] :
( ( ( SV250 @ SV202 )
= $true )
| ( ( SV109
@ ( sK89_SY248 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true )
| ( ( ~ ( SV250
@ ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2505]) ).
thf(3165,plain,
! [SV60: $i > $o,SV202: $i,SV258: $i > $o] :
( ( ( SV258
@ ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV202
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2512]) ).
thf(3166,plain,
! [SV109: $i > $o,SV203: $i,SV250: $i > $o] :
( ( ( SV250
@ ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2519]) ).
thf(3167,plain,
! [SV60: $i > $o,SV203: $i,SV258: $i > $o] :
( ( ( SV258 @ SV203 )
= $true )
| ( ( SV60
@ ( sK90_SY157 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2526]) ).
thf(3180,plain,
! [SV109: $i > $o,SV212: $i,SV250: $i > $o] :
( ( ( SV250 @ SV212 )
= $true )
| ( ( SV109
@ ( sK97_SY248 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true )
| ( ( ~ ( SV250
@ ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2617]) ).
thf(3181,plain,
! [SV60: $i > $o,SV212: $i,SV258: $i > $o] :
( ( ( SV258
@ ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2624]) ).
thf(3182,plain,
! [SV109: $i > $o,SV213: $i,SV250: $i > $o] :
( ( ( SV250
@ ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV213
@ SV109 ) )
= $true )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2631]) ).
thf(3183,plain,
! [SV60: $i > $o,SV213: $i,SV258: $i > $o] :
( ( ( SV258 @ SV213 )
= $true )
| ( ( SV60
@ ( sK98_SY157 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2638]) ).
thf(3196,plain,
! [SV232: $i,SV109: $i > $o,SV202: $i,SV250: $i > $o] :
( ( ( SV250 @ SV202 )
= $true )
| ( ( ( sK89_SY248 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 )
= SV232 )
= $true )
| ( ( SV109 @ SV232 )
= $false )
| ( ( ~ ( SV250
@ ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2729]) ).
thf(3197,plain,
! [SV60: $i > $o,SV202: $i,SV232: $i,SV258: $i > $o] :
( ( ( SV258 @ SV232 )
= $true )
| ( ( ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) )
= SV232 )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV202
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2736]) ).
thf(3198,plain,
! [SV109: $i > $o,SV203: $i,SV233: $i,SV250: $i > $o] :
( ( ( SV250 @ SV233 )
= $true )
| ( ( ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= SV233 )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2743]) ).
thf(3199,plain,
! [SV233: $i,SV60: $i > $o,SV203: $i,SV258: $i > $o] :
( ( ( SV258 @ SV203 )
= $true )
| ( ( ( sK90_SY157 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= SV233 )
= $true )
| ( ( SV60 @ SV233 )
= $false )
| ( ( ~ ( SV258
@ ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2750]) ).
thf(3212,plain,
! [SV241: $i,SV109: $i > $o,SV212: $i,SV250: $i > $o] :
( ( ( SV250 @ SV212 )
= $true )
| ( ( ( sK97_SY248 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 )
= SV241 )
= $true )
| ( ( SV109 @ SV241 )
= $false )
| ( ( ~ ( SV250
@ ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2841]) ).
thf(3213,plain,
! [SV60: $i > $o,SV212: $i,SV241: $i,SV258: $i > $o] :
( ( ( SV258 @ SV241 )
= $true )
| ( ( ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) )
= SV241 )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2848]) ).
thf(3214,plain,
! [SV109: $i > $o,SV213: $i,SV242: $i,SV250: $i > $o] :
( ( ( SV250 @ SV242 )
= $true )
| ( ( ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= SV242 )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV213
@ SV109 ) )
= $true )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2855]) ).
thf(3215,plain,
! [SV242: $i,SV60: $i > $o,SV213: $i,SV258: $i > $o] :
( ( ( SV258 @ SV213 )
= $true )
| ( ( ( sK98_SY157 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= SV242 )
= $true )
| ( ( SV60 @ SV242 )
= $false )
| ( ( ~ ( SV258
@ ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2862]) ).
thf(3221,plain,
! [SV140: $i,SV395: $i > $o] :
( ( ( SV395 @ SV140 )
= $true )
| ( ( SV395
@ ( sK39_SY294 @ SV140
@ ^ [SX0: $i] :
~ ( SV395 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV395
@ ( descr
@ ^ [SX0: $i] :
~ ( SV395 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3074]) ).
thf(3222,plain,
! [SV7: $i,SV143: $i,SV379: $i > $o] :
( ( ( SV379 @ SV143 )
= $false )
| ( ( SV379
@ ( sK29_SY195 @ SV143
@ ^ [SX0: $i] :
~ ( SV379 @ SX0 )
@ SV7 ) )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3078]) ).
thf(3223,plain,
! [SV164: $i,SV8: $i,SV363: $i > $o] :
( ( ( SV363
@ ( sK15_SY196
@ ^ [SX0: $i] :
~ ( SV363 @ SX0 )
@ SV8 ) )
= $false )
| ( ( in @ SV164 @ SV8 )
= $false )
| ( ( SV363 @ SV164 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3080]) ).
thf(3224,plain,
! [SV159: $i,SV22: $i,SV355: $i > $o] :
( ( ( SV355
@ ( sK7_SY208
@ ^ [SX0: $i] :
~ ( SV355 @ SX0 )
@ SV22 ) )
= $false )
| ( ( in @ SV159 @ SV22 )
= $false )
| ( ( SV355 @ SV159 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3082]) ).
thf(3225,plain,
! [SV29: $i,SV144: $i,SV347: $i > $o] :
( ( ( SV347 @ SV144 )
= $false )
| ( ( in @ SV144 @ SV29 )
= $false )
| ( ( SV347
@ ( sK45_SY211 @ SV144
@ ^ [SX0: $i] :
~ ( SV347 @ SX0 )
@ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3083]) ).
thf(3226,plain,
! [SV43: $i,SV147: $i,SV371: $i > $o] :
( ( ( SV371 @ SV147 )
= $false )
| ( ( SV371
@ ( sK32_SY219 @ SV147
@ ^ [SX0: $i] :
~ ( SV371 @ SX0 )
@ SV43 ) )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3084]) ).
thf(3227,plain,
! [SV166: $i,SV45: $i,SV339: $i > $o] :
( ( ( SV339
@ ( sK17_SY221
@ ^ [SX0: $i] :
~ ( SV339 @ SX0 )
@ SV45 ) )
= $false )
| ( ( in @ SV166 @ SV45 )
= $false )
| ( ( SV339 @ SV166 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3086]) ).
thf(3229,plain,
! [SV139: $i,SV331: $i > $o] :
( ( ( SV331 @ SV139 )
= $true )
| ( ( SV331
@ ( sK55_SY161 @ SV139
@ ^ [SX0: $i] :
~ ( SV331 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV331
@ ( sK38_SY293 @ SV139
@ ^ [SX0: $i] :
~ ( SV331 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3089]) ).
thf(3232,plain,
! [SV132: $i,SV307: $i > $o] :
( ( ( SV307
@ ( sK26_SY60 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) )
= $false )
| ( ( SV307
@ ( sK43_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV307 @ SV132 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3092]) ).
thf(3236,plain,
! [SV127: $i,SV179: $i,SV171: $i,SV323: $i > $o] :
( ( ( SV323 @ SV171 )
= $true )
| ( ( SV171 = SV179 )
= $true )
| ( ( SV323 @ SV179 )
= $true )
| ( ( ~ ( SV323 @ SV127 ) )
= $false )
| ( ( ~ ( SV323
@ ( sK33_SY280 @ SV127
@ ^ [SX0: $i] :
~ ( SV323 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3096]) ).
thf(3237,plain,
! [SV129: $i,SV315: $i > $o] :
( ( ( SV315 @ SV129 )
= $true )
| ( ( SV315
@ ( sK50_SY36 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV315
@ ( sK34_SY282 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3097]) ).
thf(3238,plain,
! [SV132: $i,SV307: $i > $o] :
( ( ( SV307
@ ( sK30_SY307 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) )
= $false )
| ( ( SV307
@ ( sK52_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV307 @ SV132 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3098]) ).
thf(3239,plain,
! [SV133: $i,SV180: $i,SV173: $i,SV299: $i > $o] :
( ( ( SV299 @ SV173 )
= $true )
| ( ( SV173 = SV180 )
= $true )
| ( ( SV299 @ SV180 )
= $true )
| ( ( ~ ( SV299 @ SV133 ) )
= $false )
| ( ( ~ ( SV299
@ ( sK36_SY285 @ SV133
@ ^ [SX0: $i] :
~ ( SV299 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3099]) ).
thf(3241,plain,
! [SV136: $i,SV291: $i > $o] :
( ( ( SV291 @ SV136 )
= $true )
| ( ( SV291
@ ( sK54_SY101 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV291
@ ( sK37_SY288 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3101]) ).
thf(3246,plain,
! [SV192: $i,SV132: $i,SV307: $i > $o] :
( ( ( SV307
@ ( sK26_SY60 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) )
= $false )
| ( ( ( sK43_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) )
= SV192 )
= $true )
| ( ( SV307 @ SV192 )
= $true )
| ( ( ~ ( SV307 @ SV132 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3107]) ).
thf(3248,plain,
! [SV134: $i,SV283: $i > $o] :
( ( ( SV283
@ ( sK16_SY286 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $false )
| ( ( SV283
@ ( sK58_SY85 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $false )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) )
= SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3109]) ).
thf(3250,plain,
! [SV197: $i,SV129: $i,SV315: $i > $o] :
( ( ( SV315 @ SV129 )
= $true )
| ( ( ( sK50_SY36 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) )
= SV197 )
= $true )
| ( ( SV315 @ SV197 )
= $true )
| ( ( ~ ( SV315
@ ( sK34_SY282 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3111]) ).
thf(3251,plain,
! [SV187: $i,SV131: $i,SV275: $i > $o] :
( ( ( SV275 @ SV131 )
= $true )
| ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) )
= $true )
| ( ( SV275 @ SV187 )
= $true )
| ( ( ~ ( SV275
@ ( sK35_SY284 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3112]) ).
thf(3252,plain,
! [SV187: $i,SV131: $i,SV275: $i > $o] :
( ( ( SV275 @ SV131 )
= $true )
| ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) )
= $false )
| ( ( SV275 @ SV187 )
= $false )
| ( ( ~ ( SV275
@ ( sK35_SY284 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3113]) ).
thf(3253,plain,
! [SV198: $i,SV132: $i,SV307: $i > $o] :
( ( ( SV307
@ ( sK30_SY307 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) )
= $false )
| ( ( ( sK52_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) )
= SV198 )
= $true )
| ( ( SV307 @ SV198 )
= $true )
| ( ( ~ ( SV307 @ SV132 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3114]) ).
thf(3255,plain,
! [SV200: $i,SV136: $i,SV291: $i > $o] :
( ( ( SV291 @ SV136 )
= $true )
| ( ( ( sK54_SY101 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) )
= SV200 )
= $true )
| ( ( SV291 @ SV200 )
= $true )
| ( ( ~ ( SV291
@ ( sK37_SY288 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3116]) ).
thf(3257,plain,
! [SV211: $i,SV134: $i,SV283: $i > $o] :
( ( ( SV283
@ ( sK16_SY286 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) ) )
= $false )
| ( ( ( sK58_SY85 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) )
= SV211 )
= $true )
| ( ( SV283 @ SV211 )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] :
~ ( SV283 @ SX0 ) )
= SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3123]) ).
thf(3258,plain,
! [SV182: $i,SV109: $i > $o,SV250: $i > $o] :
( ( ( SV250
@ ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK70_SY248 @ SV182
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true )
| ( ( SV250 @ SV182 )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3128]) ).
thf(3259,plain,
! [SV183: $i,SV60: $i > $o,SV258: $i > $o] :
( ( ( SV258
@ ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK71_SY157 @ SV183
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( SV258 @ SV183 )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3131]) ).
thf(3262,plain,
! [SV201: $i,SV153: $i,SV102: $i,SV265: $i > $i > $o] :
( ( ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( sK76_SY350 @ SV153 @ SV201
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV102 )
= $true )
| ( ( in @ SV201
@ ( sK61_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $false )
| ( ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3136]) ).
thf(3264,plain,
! [SV201: $i,SV153: $i,SV102: $i,SV265: $i > $i > $o] :
( ( ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV153 )
= $true )
| ( ( in @ SV201
@ ( sK61_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $false )
| ( ( SV265
@ ( sK76_SY350 @ SV153 @ SV201
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV201 )
= $false )
| ( ( ~ ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3138]) ).
thf(3268,plain,
! [SV216: $i,SV201: $i,SV153: $i,SV102: $i,SV265: $i > $i > $o] :
( ( ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV153 )
= $true )
| ( ( in @ SV201
@ ( sK61_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $true )
| ( ( in @ SV216 @ SV102 )
= $false )
| ( ( SV265 @ SV216 @ SV201 )
= $true )
| ( ( ~ ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3146]) ).
thf(3270,plain,
! [SV220: $i,SV182: $i,SV109: $i > $o,SV250: $i > $o] :
( ( ( SV250
@ ( sK62_SY336 @ SV109 @ SV182
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV109 @ SV220 )
= $false )
| ( ( ( sK70_SY248 @ SV182
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 )
= SV220 )
= $true )
| ( ( SV250 @ SV182 )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3148]) ).
thf(3271,plain,
! [SV221: $i,SV183: $i,SV60: $i > $o,SV258: $i > $o] :
( ( ( SV258
@ ( sK63_SY337 @ SV60 @ SV183
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60 @ SV221 )
= $false )
| ( ( ( sK71_SY157 @ SV183
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= SV221 )
= $true )
| ( ( SV258 @ SV183 )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3151]) ).
thf(3280,plain,
! [SV202: $i,SV109: $i > $o,SV250: $i > $o] :
( ( ( SV250
@ ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK89_SY248 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true )
| ( ( SV250 @ SV202 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3164]) ).
thf(3281,plain,
! [SV202: $i,SV60: $i > $o,SV258: $i > $o] :
( ( ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $true )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV202
@ SV60 ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV258
@ ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3165]) ).
thf(3282,plain,
! [SV203: $i,SV109: $i > $o,SV250: $i > $o] :
( ( ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV250
@ ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3166]) ).
thf(3283,plain,
! [SV203: $i,SV60: $i > $o,SV258: $i > $o] :
( ( ( SV258
@ ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK90_SY157 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( SV258 @ SV203 )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3167]) ).
thf(3294,plain,
! [SV212: $i,SV109: $i > $o,SV250: $i > $o] :
( ( ( SV250
@ ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK97_SY248 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true )
| ( ( SV250 @ SV212 )
= $true )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3180]) ).
thf(3295,plain,
! [SV212: $i,SV60: $i > $o,SV258: $i > $o] :
( ( ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( SV258
@ ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3181]) ).
thf(3296,plain,
! [SV213: $i,SV109: $i > $o,SV250: $i > $o] :
( ( ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV213
@ SV109 ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( SV250
@ ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3182]) ).
thf(3297,plain,
! [SV213: $i,SV60: $i > $o,SV258: $i > $o] :
( ( ( SV258
@ ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK98_SY157 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( SV258 @ SV213 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3183]) ).
thf(3306,plain,
! [SV232: $i,SV202: $i,SV109: $i > $o,SV250: $i > $o] :
( ( ( SV250
@ ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV109 @ SV232 )
= $false )
| ( ( ( sK89_SY248 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 )
= SV232 )
= $true )
| ( ( SV250 @ SV202 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $false )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3196]) ).
thf(3307,plain,
! [SV232: $i,SV202: $i,SV60: $i > $o,SV258: $i > $o] :
( ( ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $true )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV202
@ SV60 ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) )
= SV232 )
= $true )
| ( ( SV258 @ SV232 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3197]) ).
thf(3308,plain,
! [SV233: $i,SV203: $i,SV109: $i > $o,SV250: $i > $o] :
( ( ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= SV233 )
= $true )
| ( ( SV250 @ SV233 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3198]) ).
thf(3309,plain,
! [SV233: $i,SV203: $i,SV60: $i > $o,SV258: $i > $o] :
( ( ( SV258
@ ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60 @ SV233 )
= $false )
| ( ( ( sK90_SY157 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= SV233 )
= $true )
| ( ( SV258 @ SV203 )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3199]) ).
thf(3320,plain,
! [SV241: $i,SV212: $i,SV109: $i > $o,SV250: $i > $o] :
( ( ( SV250
@ ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV109 @ SV241 )
= $false )
| ( ( ( sK97_SY248 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 )
= SV241 )
= $true )
| ( ( SV250 @ SV212 )
= $true )
| ( ( ~ ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3212]) ).
thf(3321,plain,
! [SV241: $i,SV212: $i,SV60: $i > $o,SV258: $i > $o] :
( ( ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) )
= SV241 )
= $true )
| ( ( SV258 @ SV241 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3213]) ).
thf(3322,plain,
! [SV242: $i,SV213: $i,SV109: $i > $o,SV250: $i > $o] :
( ( ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV213
@ SV109 ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) )
= SV242 )
= $true )
| ( ( SV250 @ SV242 )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3214]) ).
thf(3323,plain,
! [SV242: $i,SV213: $i,SV60: $i > $o,SV258: $i > $o] :
( ( ( SV258
@ ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60 @ SV242 )
= $false )
| ( ( ( sK98_SY157 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= SV242 )
= $true )
| ( ( SV258 @ SV213 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( ~ ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3215]) ).
thf(3325,plain,
! [SV140: $i,SV395: $i > $o] :
( ( ( SV395
@ ( descr
@ ^ [SX0: $i] :
~ ( SV395 @ SX0 ) ) )
= $false )
| ( ( SV395
@ ( sK39_SY294 @ SV140
@ ^ [SX0: $i] :
~ ( SV395 @ SX0 ) ) )
= $false )
| ( ( SV395 @ SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3221]) ).
thf(3326,plain,
! [SV139: $i,SV331: $i > $o] :
( ( ( SV331
@ ( sK38_SY293 @ SV139
@ ^ [SX0: $i] :
~ ( SV331 @ SX0 ) ) )
= $false )
| ( ( SV331
@ ( sK55_SY161 @ SV139
@ ^ [SX0: $i] :
~ ( SV331 @ SX0 ) ) )
= $false )
| ( ( SV331 @ SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3229]) ).
thf(3328,plain,
! [SV132: $i,SV307: $i > $o] :
( ( ( SV307 @ SV132 )
= $true )
| ( ( SV307
@ ( sK43_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) )
= $false )
| ( ( SV307
@ ( sK26_SY60 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3232]) ).
thf(3330,plain,
! [SV171: $i,SV179: $i,SV127: $i,SV323: $i > $o] :
( ( ( SV323 @ SV127 )
= $true )
| ( ( SV323 @ SV179 )
= $true )
| ( ( SV171 = SV179 )
= $true )
| ( ( SV323 @ SV171 )
= $true )
| ( ( ~ ( SV323
@ ( sK33_SY280 @ SV127
@ ^ [SX0: $i] :
~ ( SV323 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3236]) ).
thf(3331,plain,
! [SV129: $i,SV315: $i > $o] :
( ( ( SV315
@ ( sK34_SY282 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) ) )
= $false )
| ( ( SV315
@ ( sK50_SY36 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) ) )
= $false )
| ( ( SV315 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3237]) ).
thf(3332,plain,
! [SV132: $i,SV307: $i > $o] :
( ( ( SV307 @ SV132 )
= $true )
| ( ( SV307
@ ( sK52_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) )
= $false )
| ( ( SV307
@ ( sK30_SY307 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3238]) ).
thf(3333,plain,
! [SV173: $i,SV180: $i,SV133: $i,SV299: $i > $o] :
( ( ( SV299 @ SV133 )
= $true )
| ( ( SV299 @ SV180 )
= $true )
| ( ( SV173 = SV180 )
= $true )
| ( ( SV299 @ SV173 )
= $true )
| ( ( ~ ( SV299
@ ( sK36_SY285 @ SV133
@ ^ [SX0: $i] :
~ ( SV299 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3239]) ).
thf(3334,plain,
! [SV136: $i,SV291: $i > $o] :
( ( ( SV291
@ ( sK37_SY288 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) ) )
= $false )
| ( ( SV291
@ ( sK54_SY101 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) ) )
= $false )
| ( ( SV291 @ SV136 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3241]) ).
thf(3336,plain,
! [SV192: $i,SV132: $i,SV307: $i > $o] :
( ( ( SV307 @ SV132 )
= $true )
| ( ( SV307 @ SV192 )
= $true )
| ( ( ( sK43_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) )
= SV192 )
= $true )
| ( ( SV307
@ ( sK26_SY60 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3246]) ).
thf(3337,plain,
! [SV197: $i,SV129: $i,SV315: $i > $o] :
( ( ( SV315
@ ( sK34_SY282 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) ) )
= $false )
| ( ( SV315 @ SV197 )
= $true )
| ( ( ( sK50_SY36 @ SV129
@ ^ [SX0: $i] :
~ ( SV315 @ SX0 ) )
= SV197 )
= $true )
| ( ( SV315 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3250]) ).
thf(3338,plain,
! [SV187: $i,SV131: $i,SV275: $i > $o] :
( ( ( SV275
@ ( sK35_SY284 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) )
= $false )
| ( ( SV275 @ SV187 )
= $true )
| ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) )
= $true )
| ( ( SV275 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3251]) ).
thf(3339,plain,
! [SV187: $i,SV131: $i,SV275: $i > $o] :
( ( ( SV275
@ ( sK35_SY284 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) )
= $false )
| ( ( SV275 @ SV187 )
= $false )
| ( ( SV187
= ( sK51_SY57 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) )
= $false )
| ( ( SV275 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3252]) ).
thf(3340,plain,
! [SV198: $i,SV132: $i,SV307: $i > $o] :
( ( ( SV307 @ SV132 )
= $true )
| ( ( SV307 @ SV198 )
= $true )
| ( ( ( sK52_SY62 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) )
= SV198 )
= $true )
| ( ( SV307
@ ( sK30_SY307 @ SV132
@ ^ [SX0: $i] :
~ ( SV307 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3253]) ).
thf(3341,plain,
! [SV200: $i,SV136: $i,SV291: $i > $o] :
( ( ( SV291
@ ( sK37_SY288 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) ) )
= $false )
| ( ( SV291 @ SV200 )
= $true )
| ( ( ( sK54_SY101 @ SV136
@ ^ [SX0: $i] :
~ ( SV291 @ SX0 ) )
= SV200 )
= $true )
| ( ( SV291 @ SV136 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3255]) ).
thf(3343,plain,
! [SV201: $i,SV153: $i,SV102: $i,SV265: $i > $i > $o] :
( ( ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV265
@ ( sK76_SY350 @ SV153 @ SV201
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV201 )
= $false )
| ( ( in @ SV201
@ ( sK61_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $false )
| ( ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3264]) ).
thf(3345,plain,
! [SV201: $i,SV216: $i,SV153: $i,SV102: $i,SV265: $i > $i > $o] :
( ( ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ ( sK47_SY298 @ SV153 @ SV102
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV265 @ SV216 @ SV201 )
= $true )
| ( ( in @ SV216 @ SV102 )
= $false )
| ( ( in @ SV201
@ ( sK61_SY238 @ SV153
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 ) )
= $true )
| ( ( SV265
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] :
~ ( SV265 @ SX0 @ SX1 )
@ SV102 )
@ SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3268]) ).
thf(3351,plain,
! [SV202: $i,SV109: $i > $o,SV250: $i > $o] :
( ( ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $false )
| ( ( SV250 @ SV202 )
= $true )
| ( ( SV109
@ ( sK89_SY248 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true )
| ( ( SV250
@ ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3280]) ).
thf(3352,plain,
! [SV203: $i,SV60: $i > $o,SV258: $i > $o] :
( ( ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $true )
| ( ( SV258 @ SV203 )
= $true )
| ( ( SV60
@ ( sK90_SY157 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( SV258
@ ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3283]) ).
thf(3357,plain,
! [SV212: $i,SV109: $i > $o,SV250: $i > $o] :
( ( ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV250 @ SV212 )
= $true )
| ( ( SV109
@ ( sK97_SY248 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true )
| ( ( SV250
@ ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3294]) ).
thf(3358,plain,
! [SV213: $i,SV60: $i > $o,SV258: $i > $o] :
( ( ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( SV258 @ SV213 )
= $true )
| ( ( SV60
@ ( sK98_SY157 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( SV258
@ ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3297]) ).
thf(3363,plain,
! [SV232: $i,SV202: $i,SV109: $i > $o,SV250: $i > $o] :
( ( ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $false )
| ( ( SV250 @ SV202 )
= $true )
| ( ( ( sK89_SY248 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 )
= SV232 )
= $true )
| ( ( SV109 @ SV232 )
= $false )
| ( ( SV250
@ ( sK74_SY352 @ SV109 @ SV202
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3306]) ).
thf(3364,plain,
! [SV233: $i,SV203: $i,SV60: $i > $o,SV258: $i > $o] :
( ( ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $true )
| ( ( SV258 @ SV203 )
= $true )
| ( ( ( sK90_SY157 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= SV233 )
= $true )
| ( ( SV60 @ SV233 )
= $false )
| ( ( SV258
@ ( sK75_SY353 @ SV60 @ SV203
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3309]) ).
thf(3369,plain,
! [SV241: $i,SV212: $i,SV109: $i > $o,SV250: $i > $o] :
( ( ( SV250
@ ( sK11_SY244 @ SV109
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV250 @ SV212 )
= $true )
| ( ( ( sK97_SY248 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 )
= SV241 )
= $true )
| ( ( SV109 @ SV241 )
= $false )
| ( ( SV250
@ ( sK81_SY362 @ SV109 @ SV212
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] :
~ ( SV250 @ SX0 )
@ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3320]) ).
thf(3370,plain,
! [SV242: $i,SV213: $i,SV60: $i > $o,SV258: $i > $o] :
( ( ( SV258
@ ( sK14_SY292 @ SV60
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 ) )
= $true )
| ( ( SV258 @ SV213 )
= $true )
| ( ( ( sK98_SY157 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 )
@ SV60 )
= SV242 )
= $true )
| ( ( SV60 @ SV242 )
= $false )
| ( ( SV258
@ ( sK82_SY363 @ SV60 @ SV213
@ ^ [SX0: $i] :
~ ( SV258 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3323]) ).
thf(3371,plain,
! [SV179: $i,SV171: $i,SV127: $i,SV323: $i > $o] :
( ( ( SV323
@ ( sK33_SY280 @ SV127
@ ^ [SX0: $i] :
~ ( SV323 @ SX0 ) ) )
= $false )
| ( ( SV323 @ SV171 )
= $true )
| ( ( SV171 = SV179 )
= $true )
| ( ( SV323 @ SV179 )
= $true )
| ( ( SV323 @ SV127 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3330]) ).
thf(3372,plain,
! [SV180: $i,SV173: $i,SV133: $i,SV299: $i > $o] :
( ( ( SV299
@ ( sK36_SY285 @ SV133
@ ^ [SX0: $i] :
~ ( SV299 @ SX0 ) ) )
= $false )
| ( ( SV299 @ SV173 )
= $true )
| ( ( SV173 = SV180 )
= $true )
| ( ( SV299 @ SV180 )
= $true )
| ( ( SV299 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3333]) ).
thf(3377,plain,
! [SV11: $i] :
( ( ( in @ omega @ SV11 )
= $false )
| ( ( in @ omega
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1887:[bind(SV116,$thf( omega ))]]) ).
thf(3378,plain,
! [SV11: $i] :
( ( ( in @ sK40_SX0 @ SV11 )
= $false )
| ( ( in @ sK40_SX0
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1888:[bind(SV116,$thf( sK40_SX0 ))]]) ).
thf(3379,plain,
! [SV11: $i] :
( ( ( in @ emptyset @ SV11 )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1889:[bind(SV116,$thf( emptyset ))]]) ).
thf(3380,plain,
! [SV11: $i] :
( ( ( in @ sK24_SX0 @ SV11 )
= $false )
| ( ( in @ sK24_SX0
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1890:[bind(SV116,$thf( sK24_SX0 ))]]) ).
thf(3381,plain,
! [SV48: $i] :
( ( ( in @ omega @ SV48 )
= $false )
| ( ( in @ omega
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1914:[bind(SV121,$thf( omega ))]]) ).
thf(3382,plain,
! [SV48: $i] :
( ( ( in @ sK40_SX0 @ SV48 )
= $false )
| ( ( in @ sK40_SX0
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1915:[bind(SV121,$thf( sK40_SX0 ))]]) ).
thf(3383,plain,
! [SV48: $i] :
( ( ( in @ emptyset @ SV48 )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1916:[bind(SV121,$thf( emptyset ))]]) ).
thf(3384,plain,
! [SV48: $i] :
( ( ( in @ sK24_SX0 @ SV48 )
= $false )
| ( ( in @ sK24_SX0
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1917:[bind(SV121,$thf( sK24_SX0 ))]]) ).
thf(3385,plain,
( ( ( ( descr
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK39_SY294 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[1947:[bind(SV140,$thf( omega ))]]) ).
thf(3386,plain,
( ( ( ( descr
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK39_SY294 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[1948:[bind(SV140,$thf( sK40_SX0 ))]]) ).
thf(3387,plain,
( ( ( ( descr
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK39_SY294 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[1949:[bind(SV140,$thf( emptyset ))]]) ).
thf(3388,plain,
( ( ( ( descr
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK39_SY294 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[1950:[bind(SV140,$thf( sK24_SX0 ))]]) ).
thf(3389,plain,
! [SV8: $i] :
( ( ( in
@ ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV8 )
@ SV8 )
= $true )
| ( ( in @ omega @ SV8 )
= $false ) ),
inference(extuni,[status(esa)],[1978:[bind(SV163,$thf( omega ))]]) ).
thf(3390,plain,
! [SV8: $i] :
( ( ( in
@ ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV8 )
@ SV8 )
= $true )
| ( ( in @ sK40_SX0 @ SV8 )
= $false ) ),
inference(extuni,[status(esa)],[1979:[bind(SV163,$thf( sK40_SX0 ))]]) ).
thf(3391,plain,
! [SV8: $i] :
( ( ( in
@ ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV8 )
@ SV8 )
= $true )
| ( ( in @ emptyset @ SV8 )
= $false ) ),
inference(extuni,[status(esa)],[1980:[bind(SV163,$thf( emptyset ))]]) ).
thf(3392,plain,
! [SV8: $i] :
( ( ( in
@ ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV8 )
@ SV8 )
= $true )
| ( ( in @ sK24_SX0 @ SV8 )
= $false ) ),
inference(extuni,[status(esa)],[1981:[bind(SV163,$thf( sK24_SX0 ))]]) ).
thf(3393,plain,
! [SV8: $i] :
( ( ( ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV8 )
= omega )
= $true )
| ( ( in @ omega @ SV8 )
= $false ) ),
inference(extuni,[status(esa)],[1985:[bind(SV164,$thf( omega ))]]) ).
thf(3394,plain,
! [SV8: $i] :
( ( ( ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV8 )
= sK40_SX0 )
= $true )
| ( ( in @ sK40_SX0 @ SV8 )
= $false ) ),
inference(extuni,[status(esa)],[1986:[bind(SV164,$thf( sK40_SX0 ))]]) ).
thf(3395,plain,
! [SV8: $i] :
( ( ( ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV8 )
= emptyset )
= $true )
| ( ( in @ emptyset @ SV8 )
= $false ) ),
inference(extuni,[status(esa)],[1987:[bind(SV164,$thf( emptyset ))]]) ).
thf(3396,plain,
! [SV8: $i] :
( ( ( ( sK15_SY196
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV8 )
= sK24_SX0 )
= $true )
| ( ( in @ sK24_SX0 @ SV8 )
= $false ) ),
inference(extuni,[status(esa)],[1988:[bind(SV164,$thf( sK24_SX0 ))]]) ).
thf(3397,plain,
! [SV22: $i] :
( ( ( in
@ ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV22 )
@ SV22 )
= $true )
| ( ( in @ omega @ SV22 )
= $false ) ),
inference(extuni,[status(esa)],[1992:[bind(SV158,$thf( omega ))]]) ).
thf(3398,plain,
! [SV22: $i] :
( ( ( in
@ ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV22 )
@ SV22 )
= $true )
| ( ( in @ sK40_SX0 @ SV22 )
= $false ) ),
inference(extuni,[status(esa)],[1993:[bind(SV158,$thf( sK40_SX0 ))]]) ).
thf(3399,plain,
! [SV22: $i] :
( ( ( in
@ ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV22 )
@ SV22 )
= $true )
| ( ( in @ emptyset @ SV22 )
= $false ) ),
inference(extuni,[status(esa)],[1994:[bind(SV158,$thf( emptyset ))]]) ).
thf(3400,plain,
! [SV22: $i] :
( ( ( in
@ ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV22 )
@ SV22 )
= $true )
| ( ( in @ sK24_SX0 @ SV22 )
= $false ) ),
inference(extuni,[status(esa)],[1995:[bind(SV158,$thf( sK24_SX0 ))]]) ).
thf(3401,plain,
! [SV22: $i] :
( ( ( ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV22 )
= omega )
= $true )
| ( ( in @ omega @ SV22 )
= $false ) ),
inference(extuni,[status(esa)],[1999:[bind(SV159,$thf( omega ))]]) ).
thf(3402,plain,
! [SV22: $i] :
( ( ( ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV22 )
= sK40_SX0 )
= $true )
| ( ( in @ sK40_SX0 @ SV22 )
= $false ) ),
inference(extuni,[status(esa)],[2000:[bind(SV159,$thf( sK40_SX0 ))]]) ).
thf(3403,plain,
! [SV22: $i] :
( ( ( ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV22 )
= emptyset )
= $true )
| ( ( in @ emptyset @ SV22 )
= $false ) ),
inference(extuni,[status(esa)],[2001:[bind(SV159,$thf( emptyset ))]]) ).
thf(3404,plain,
! [SV22: $i] :
( ( ( ( sK7_SY208
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV22 )
= sK24_SX0 )
= $true )
| ( ( in @ sK24_SX0 @ SV22 )
= $false ) ),
inference(extuni,[status(esa)],[2002:[bind(SV159,$thf( sK24_SX0 ))]]) ).
thf(3405,plain,
! [SV45: $i] :
( ( ( in
@ ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV45 )
@ SV45 )
= $true )
| ( ( in @ omega @ SV45 )
= $false ) ),
inference(extuni,[status(esa)],[2020:[bind(SV165,$thf( omega ))]]) ).
thf(3406,plain,
! [SV45: $i] :
( ( ( in
@ ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV45 )
@ SV45 )
= $true )
| ( ( in @ sK40_SX0 @ SV45 )
= $false ) ),
inference(extuni,[status(esa)],[2021:[bind(SV165,$thf( sK40_SX0 ))]]) ).
thf(3407,plain,
! [SV45: $i] :
( ( ( in
@ ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV45 )
@ SV45 )
= $true )
| ( ( in @ emptyset @ SV45 )
= $false ) ),
inference(extuni,[status(esa)],[2022:[bind(SV165,$thf( emptyset ))]]) ).
thf(3408,plain,
! [SV45: $i] :
( ( ( in
@ ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV45 )
@ SV45 )
= $true )
| ( ( in @ sK24_SX0 @ SV45 )
= $false ) ),
inference(extuni,[status(esa)],[2023:[bind(SV165,$thf( sK24_SX0 ))]]) ).
thf(3409,plain,
! [SV45: $i] :
( ( ( ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV45 )
= omega )
= $true )
| ( ( in @ omega @ SV45 )
= $false ) ),
inference(extuni,[status(esa)],[2027:[bind(SV166,$thf( omega ))]]) ).
thf(3410,plain,
! [SV45: $i] :
( ( ( ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV45 )
= sK40_SX0 )
= $true )
| ( ( in @ sK40_SX0 @ SV45 )
= $false ) ),
inference(extuni,[status(esa)],[2028:[bind(SV166,$thf( sK40_SX0 ))]]) ).
thf(3411,plain,
! [SV45: $i] :
( ( ( ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV45 )
= emptyset )
= $true )
| ( ( in @ emptyset @ SV45 )
= $false ) ),
inference(extuni,[status(esa)],[2029:[bind(SV166,$thf( emptyset ))]]) ).
thf(3412,plain,
! [SV45: $i] :
( ( ( ( sK17_SY221
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV45 )
= sK24_SX0 )
= $true )
| ( ( in @ sK24_SX0 @ SV45 )
= $false ) ),
inference(extuni,[status(esa)],[2030:[bind(SV166,$thf( sK24_SX0 ))]]) ).
thf(3413,plain,
( ( ( omega
= ( sK38_SY293 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK48_SY161 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2034:[bind(SV139,$thf( omega ))]]) ).
thf(3414,plain,
( ( ( sK40_SX0
= ( sK38_SY293 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK48_SY161 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2035:[bind(SV139,$thf( sK40_SX0 ))]]) ).
thf(3415,plain,
( ( ( emptyset
= ( sK38_SY293 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK48_SY161 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2036:[bind(SV139,$thf( emptyset ))]]) ).
thf(3416,plain,
( ( ( sK24_SX0
= ( sK38_SY293 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK48_SY161 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2037:[bind(SV139,$thf( sK24_SX0 ))]]) ).
thf(3417,plain,
( ( ( ( sK38_SY293 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK55_SY161 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2048:[bind(SV139,$thf( omega ))]]) ).
thf(3418,plain,
( ( ( ( sK38_SY293 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK55_SY161 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2049:[bind(SV139,$thf( sK40_SX0 ))]]) ).
thf(3419,plain,
( ( ( ( sK38_SY293 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK55_SY161 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2050:[bind(SV139,$thf( emptyset ))]]) ).
thf(3420,plain,
( ( ( ( sK38_SY293 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK55_SY161 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2051:[bind(SV139,$thf( sK24_SX0 ))]]) ).
thf(3425,plain,
( ( ( omega
= ( sK34_SY282 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK41_SY36 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2062:[bind(SV129,$thf( omega ))]]) ).
thf(3426,plain,
( ( ( sK40_SX0
= ( sK34_SY282 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK41_SY36 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2063:[bind(SV129,$thf( sK40_SX0 ))]]) ).
thf(3427,plain,
( ( ( emptyset
= ( sK34_SY282 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK41_SY36 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2064:[bind(SV129,$thf( emptyset ))]]) ).
thf(3428,plain,
( ( ( sK24_SX0
= ( sK34_SY282 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK41_SY36 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2065:[bind(SV129,$thf( sK24_SX0 ))]]) ).
thf(3429,plain,
( ( ( ( sK26_SY60 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK43_SY62 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2069:[bind(SV132,$thf( omega ))]]) ).
thf(3430,plain,
( ( ( ( sK26_SY60 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK43_SY62 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2070:[bind(SV132,$thf( sK40_SX0 ))]]) ).
thf(3431,plain,
( ( ( ( sK26_SY60 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK43_SY62 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2071:[bind(SV132,$thf( emptyset ))]]) ).
thf(3432,plain,
( ( ( ( sK26_SY60 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK43_SY62 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2072:[bind(SV132,$thf( sK24_SX0 ))]]) ).
thf(3437,plain,
( ( ( omega
= ( sK37_SY288 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK46_SY101 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2090:[bind(SV136,$thf( omega ))]]) ).
thf(3438,plain,
( ( ( sK40_SX0
= ( sK37_SY288 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK46_SY101 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2091:[bind(SV136,$thf( sK40_SX0 ))]]) ).
thf(3439,plain,
( ( ( emptyset
= ( sK37_SY288 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK46_SY101 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2092:[bind(SV136,$thf( emptyset ))]]) ).
thf(3440,plain,
( ( ( sK24_SX0
= ( sK37_SY288 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK46_SY101 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2093:[bind(SV136,$thf( sK24_SX0 ))]]) ).
thf(3445,plain,
( ( ( ( sK34_SY282 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK50_SY36 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2104:[bind(SV129,$thf( omega ))]]) ).
thf(3446,plain,
( ( ( ( sK34_SY282 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK50_SY36 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2105:[bind(SV129,$thf( sK40_SX0 ))]]) ).
thf(3447,plain,
( ( ( ( sK34_SY282 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK50_SY36 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2106:[bind(SV129,$thf( emptyset ))]]) ).
thf(3448,plain,
( ( ( ( sK34_SY282 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK50_SY36 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2107:[bind(SV129,$thf( sK24_SX0 ))]]) ).
thf(3449,plain,
( ( ( ( sK30_SY307 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK52_SY62 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2111:[bind(SV132,$thf( omega ))]]) ).
thf(3450,plain,
( ( ( ( sK30_SY307 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK52_SY62 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2112:[bind(SV132,$thf( sK40_SX0 ))]]) ).
thf(3451,plain,
( ( ( ( sK30_SY307 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK52_SY62 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2113:[bind(SV132,$thf( emptyset ))]]) ).
thf(3452,plain,
( ( ( ( sK30_SY307 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK52_SY62 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2114:[bind(SV132,$thf( sK24_SX0 ))]]) ).
thf(3457,plain,
( ( ( ( sK37_SY288 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK54_SY101 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2132:[bind(SV136,$thf( omega ))]]) ).
thf(3458,plain,
( ( ( ( sK37_SY288 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK54_SY101 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2133:[bind(SV136,$thf( sK40_SX0 ))]]) ).
thf(3459,plain,
( ( ( ( sK37_SY288 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK54_SY101 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2134:[bind(SV136,$thf( emptyset ))]]) ).
thf(3460,plain,
( ( ( ( sK37_SY288 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK54_SY101 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2135:[bind(SV136,$thf( sK24_SX0 ))]]) ).
thf(3461,plain,
( ( ( omega
= ( sK34_SY282 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK41_SY36 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2153:[bind(SV129,$thf( omega )),bind(SV191,$thf( omega ))]]) ).
thf(3462,plain,
( ( ( sK40_SX0
= ( sK34_SY282 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK41_SY36 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2154:[bind(SV129,$thf( sK40_SX0 )),bind(SV191,$thf( sK40_SX0 ))]]) ).
thf(3463,plain,
( ( ( emptyset
= ( sK34_SY282 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK41_SY36 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2155:[bind(SV129,$thf( emptyset )),bind(SV191,$thf( emptyset ))]]) ).
thf(3464,plain,
( ( ( sK24_SX0
= ( sK34_SY282 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK41_SY36 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2156:[bind(SV129,$thf( sK24_SX0 )),bind(SV191,$thf( sK24_SX0 ))]]) ).
thf(3465,plain,
( ( ( omega
= ( sK35_SY284 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( omega
= ( sK42_SY57 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2160:[bind(SV131,$thf( omega )),bind(SV185,$thf( omega ))]]) ).
thf(3466,plain,
( ( ( sK40_SX0
= ( sK35_SY284 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( sK40_SX0
= ( sK42_SY57 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2161:[bind(SV131,$thf( sK40_SX0 )),bind(SV185,$thf( sK40_SX0 ))]]) ).
thf(3467,plain,
( ( ( emptyset
= ( sK35_SY284 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( emptyset
= ( sK42_SY57 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2162:[bind(SV131,$thf( emptyset )),bind(SV185,$thf( emptyset ))]]) ).
thf(3468,plain,
( ( ( sK24_SX0
= ( sK35_SY284 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( sK24_SX0
= ( sK42_SY57 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2163:[bind(SV131,$thf( sK24_SX0 )),bind(SV185,$thf( sK24_SX0 ))]]) ).
thf(3469,plain,
( ( ( omega
= ( sK35_SY284 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK42_SY57 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2167:[bind(SV131,$thf( omega )),bind(SV185,$thf( sK42_SY57 @ omega @ ^ [SX0: $i] : ( SX0 = omega ) ))]]) ).
thf(3470,plain,
( ( ( sK40_SX0
= ( sK35_SY284 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK42_SY57 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2168:[bind(SV131,$thf( sK40_SX0 )),bind(SV185,$thf( sK42_SY57 @ sK40_SX0 @ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ))]]) ).
thf(3471,plain,
( ( ( emptyset
= ( sK35_SY284 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK42_SY57 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2169:[bind(SV131,$thf( emptyset )),bind(SV185,$thf( sK42_SY57 @ emptyset @ ^ [SX0: $i] : ( SX0 = emptyset ) ))]]) ).
thf(3472,plain,
( ( ( sK24_SX0
= ( sK35_SY284 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK42_SY57 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2170:[bind(SV131,$thf( sK24_SX0 )),bind(SV185,$thf( sK42_SY57 @ sK24_SX0 @ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ))]]) ).
thf(3473,plain,
( ( ( ( sK26_SY60 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK43_SY62 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2174:[bind(SV132,$thf( omega )),bind(SV192,$thf( omega ))]]) ).
thf(3474,plain,
( ( ( ( sK26_SY60 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK43_SY62 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2175:[bind(SV132,$thf( sK40_SX0 )),bind(SV192,$thf( sK40_SX0 ))]]) ).
thf(3475,plain,
( ( ( ( sK26_SY60 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK43_SY62 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2176:[bind(SV132,$thf( emptyset )),bind(SV192,$thf( emptyset ))]]) ).
thf(3476,plain,
( ( ( ( sK26_SY60 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK43_SY62 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2177:[bind(SV132,$thf( sK24_SX0 )),bind(SV192,$thf( sK24_SX0 ))]]) ).
thf(3477,plain,
( ( ( ( sK26_SY60 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= ( sK30_SY307 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK44_SY62 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2181:[bind(SV132,$thf( omega )),bind(SV193,$thf( omega ))]]) ).
thf(3478,plain,
( ( ( ( sK26_SY60 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= ( sK30_SY307 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK44_SY62 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2182:[bind(SV132,$thf( sK40_SX0 )),bind(SV193,$thf( sK40_SX0 ))]]) ).
thf(3479,plain,
( ( ( ( sK26_SY60 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= ( sK30_SY307 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK44_SY62 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2183:[bind(SV132,$thf( emptyset )),bind(SV193,$thf( emptyset ))]]) ).
thf(3480,plain,
( ( ( ( sK26_SY60 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= ( sK30_SY307 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK44_SY62 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2184:[bind(SV132,$thf( sK24_SX0 )),bind(SV193,$thf( sK24_SX0 ))]]) ).
thf(3481,plain,
( ( ( omega
= ( sK37_SY288 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK46_SY101 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2195:[bind(SV136,$thf( omega )),bind(SV194,$thf( omega ))]]) ).
thf(3482,plain,
( ( ( sK40_SX0
= ( sK37_SY288 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK46_SY101 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2196:[bind(SV136,$thf( sK40_SX0 )),bind(SV194,$thf( sK40_SX0 ))]]) ).
thf(3483,plain,
( ( ( emptyset
= ( sK37_SY288 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK46_SY101 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2197:[bind(SV136,$thf( emptyset )),bind(SV194,$thf( emptyset ))]]) ).
thf(3484,plain,
( ( ( sK24_SX0
= ( sK37_SY288 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK46_SY101 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2198:[bind(SV136,$thf( sK24_SX0 )),bind(SV194,$thf( sK24_SX0 ))]]) ).
thf(3485,plain,
( ( ( ( sK34_SY282 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK50_SY36 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2202:[bind(SV129,$thf( omega )),bind(SV197,$thf( omega ))]]) ).
thf(3486,plain,
( ( ( ( sK34_SY282 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK50_SY36 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2203:[bind(SV129,$thf( sK40_SX0 )),bind(SV197,$thf( sK40_SX0 ))]]) ).
thf(3487,plain,
( ( ( ( sK34_SY282 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK50_SY36 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2204:[bind(SV129,$thf( emptyset )),bind(SV197,$thf( emptyset ))]]) ).
thf(3488,plain,
( ( ( ( sK34_SY282 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK50_SY36 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2205:[bind(SV129,$thf( sK24_SX0 )),bind(SV197,$thf( sK24_SX0 ))]]) ).
thf(3489,plain,
( ( ( ( sK35_SY284 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( omega
= ( sK51_SY57 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2209:[bind(SV131,$thf( omega )),bind(SV187,$thf( omega ))]]) ).
thf(3490,plain,
( ( ( ( sK35_SY284 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( sK40_SX0
= ( sK51_SY57 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2210:[bind(SV131,$thf( sK40_SX0 )),bind(SV187,$thf( sK40_SX0 ))]]) ).
thf(3491,plain,
( ( ( ( sK35_SY284 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( emptyset
= ( sK51_SY57 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2211:[bind(SV131,$thf( emptyset )),bind(SV187,$thf( emptyset ))]]) ).
thf(3492,plain,
( ( ( ( sK35_SY284 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( sK24_SX0
= ( sK51_SY57 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2212:[bind(SV131,$thf( sK24_SX0 )),bind(SV187,$thf( sK24_SX0 ))]]) ).
thf(3495,plain,
! [SV131: $i,SV275: $i > $o] :
( ( ( SV275 @ SV131 )
= $true )
| ( ( SV275
@ ( sK51_SY57 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) )
= $false )
| ( ( SV275
@ ( sK35_SY284 @ SV131
@ ^ [SX0: $i] :
~ ( SV275 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[3339:[bind(SV187,$thf( sK51_SY57 @ SV131 @ ^ [SX0: $i] : ~ ( SV275 @ SX0 ) ))]]) ).
thf(3496,plain,
( ( ( ( sK35_SY284 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK51_SY57 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2216:[bind(SV131,$thf( omega )),bind(SV187,$thf( sK51_SY57 @ omega @ ^ [SX0: $i] : ( SX0 = omega ) ))]]) ).
thf(3497,plain,
( ( ( ( sK35_SY284 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK51_SY57 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2217:[bind(SV131,$thf( sK40_SX0 )),bind(SV187,$thf( sK51_SY57 @ sK40_SX0 @ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ))]]) ).
thf(3498,plain,
( ( ( ( sK35_SY284 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK51_SY57 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2218:[bind(SV131,$thf( emptyset )),bind(SV187,$thf( sK51_SY57 @ emptyset @ ^ [SX0: $i] : ( SX0 = emptyset ) ))]]) ).
thf(3499,plain,
( ( ( ( sK35_SY284 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK51_SY57 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2219:[bind(SV131,$thf( sK24_SX0 )),bind(SV187,$thf( sK51_SY57 @ sK24_SX0 @ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ))]]) ).
thf(3500,plain,
( ( ( ( sK30_SY307 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK52_SY62 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2223:[bind(SV132,$thf( omega )),bind(SV198,$thf( omega ))]]) ).
thf(3501,plain,
( ( ( ( sK30_SY307 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK52_SY62 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2224:[bind(SV132,$thf( sK40_SX0 )),bind(SV198,$thf( sK40_SX0 ))]]) ).
thf(3502,plain,
( ( ( ( sK30_SY307 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK52_SY62 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2225:[bind(SV132,$thf( emptyset )),bind(SV198,$thf( emptyset ))]]) ).
thf(3503,plain,
( ( ( ( sK30_SY307 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK52_SY62 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2226:[bind(SV132,$thf( sK24_SX0 )),bind(SV198,$thf( sK24_SX0 ))]]) ).
thf(3504,plain,
( ( ( ( sK37_SY288 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK54_SY101 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2237:[bind(SV136,$thf( omega )),bind(SV200,$thf( omega ))]]) ).
thf(3505,plain,
( ( ( ( sK37_SY288 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK54_SY101 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2238:[bind(SV136,$thf( sK40_SX0 )),bind(SV200,$thf( sK40_SX0 ))]]) ).
thf(3506,plain,
( ( ( ( sK37_SY288 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK54_SY101 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2239:[bind(SV136,$thf( emptyset )),bind(SV200,$thf( emptyset ))]]) ).
thf(3507,plain,
( ( ( ( sK37_SY288 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK54_SY101 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2240:[bind(SV136,$thf( sK24_SX0 )),bind(SV200,$thf( sK24_SX0 ))]]) ).
thf(3512,plain,
! [SV161: $i,SV102: $i] :
( ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV102 )
= $true )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $true )
| ( ( in @ SV161 @ SV102 )
= $false ) ),
inference(extuni,[status(esa)],[2269:[bind(SV189,$thf( SV161 ))]]) ).
thf(3513,plain,
! [SV134: $i] :
( ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = omega ) )
= SV134 )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK58_SY85 @ SV134
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2273:[bind(SV211,$thf( omega ))]]) ).
thf(3514,plain,
! [SV134: $i] :
( ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= SV134 )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK58_SY85 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2274:[bind(SV211,$thf( sK40_SX0 ))]]) ).
thf(3515,plain,
! [SV134: $i] :
( ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= SV134 )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK58_SY85 @ SV134
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2275:[bind(SV211,$thf( emptyset ))]]) ).
thf(3516,plain,
! [SV134: $i] :
( ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= SV134 )
= $true )
| ( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK58_SY85 @ SV134
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2276:[bind(SV211,$thf( sK24_SX0 ))]]) ).
thf(3517,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( omega
= ( sK62_SY336 @ SV109 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( SV109
@ ( sK66_SY248 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2280:[bind(SV182,$thf( omega ))]]) ).
thf(3518,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( sK40_SX0
= ( sK62_SY336 @ SV109 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK66_SY248 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2281:[bind(SV182,$thf( sK40_SX0 ))]]) ).
thf(3519,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( emptyset
= ( sK62_SY336 @ SV109 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( SV109
@ ( sK66_SY248 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2282:[bind(SV182,$thf( emptyset ))]]) ).
thf(3520,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( sK24_SX0
= ( sK62_SY336 @ SV109 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK66_SY248 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2283:[bind(SV182,$thf( sK24_SX0 ))]]) ).
thf(3521,plain,
! [SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true )
| ( ( omega
= ( sK63_SY337 @ SV60 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( SV60
@ ( sK67_SY157 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2301:[bind(SV183,$thf( omega ))]]) ).
thf(3522,plain,
! [SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true )
| ( ( sK40_SX0
= ( sK63_SY337 @ SV60 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK67_SY157 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2302:[bind(SV183,$thf( sK40_SX0 ))]]) ).
thf(3523,plain,
! [SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( emptyset
= ( sK63_SY337 @ SV60 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( SV60
@ ( sK67_SY157 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2303:[bind(SV183,$thf( emptyset ))]]) ).
thf(3524,plain,
! [SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true )
| ( ( sK24_SX0
= ( sK63_SY337 @ SV60 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK67_SY157 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2304:[bind(SV183,$thf( sK24_SX0 ))]]) ).
thf(3525,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( ( sK62_SY336 @ SV109 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV109
@ ( sK70_SY248 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2308:[bind(SV182,$thf( omega ))]]) ).
thf(3526,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( ( sK62_SY336 @ SV109 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV109
@ ( sK70_SY248 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2309:[bind(SV182,$thf( sK40_SX0 ))]]) ).
thf(3527,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( ( sK62_SY336 @ SV109 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV109
@ ( sK70_SY248 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2310:[bind(SV182,$thf( emptyset ))]]) ).
thf(3528,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( ( sK62_SY336 @ SV109 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV109
@ ( sK70_SY248 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2311:[bind(SV182,$thf( sK24_SX0 ))]]) ).
thf(3529,plain,
! [SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true )
| ( ( ( sK63_SY337 @ SV60 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV60
@ ( sK71_SY157 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2329:[bind(SV183,$thf( omega ))]]) ).
thf(3530,plain,
! [SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true )
| ( ( ( sK63_SY337 @ SV60 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV60
@ ( sK71_SY157 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2330:[bind(SV183,$thf( sK40_SX0 ))]]) ).
thf(3531,plain,
! [SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( ( sK63_SY337 @ SV60 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV60
@ ( sK71_SY157 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2331:[bind(SV183,$thf( emptyset ))]]) ).
thf(3532,plain,
! [SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true )
| ( ( ( sK63_SY337 @ SV60 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV60
@ ( sK71_SY157 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2332:[bind(SV183,$thf( sK24_SX0 ))]]) ).
thf(3533,plain,
! [SV195: $i,SV102: $i] :
( ( ( ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= ( sK47_SY298
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV102
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( in @ SV195
@ ( sK59_SY238
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $false )
| ( ( in
@ ( sK73_SY348
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV195
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV102 )
= $true ) ),
inference(extuni,[status(esa)],[2337:[bind(SV153,$thf( sK10_SY235 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) @ SV102 ))]]) ).
thf(3534,plain,
! [SV195: $i,SV102: $i] :
( ( ( ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= ( sK47_SY298
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV102
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( in @ SV195
@ ( sK59_SY238
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $false )
| ( ( ( sK73_SY348
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV195
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= SV195 )
= $true ) ),
inference(extuni,[status(esa)],[2342:[bind(SV153,$thf( sK10_SY235 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) @ SV102 ))]]) ).
thf(3535,plain,
! [SV201: $i,SV102: $i] :
( ( ( ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= ( sK47_SY298
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV102
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( in @ SV201
@ ( sK61_SY238
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $false )
| ( ( in
@ ( sK76_SY350
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV201
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV102 )
= $true ) ),
inference(extuni,[status(esa)],[2347:[bind(SV153,$thf( sK10_SY235 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) @ SV102 ))]]) ).
thf(3536,plain,
! [SV201: $i,SV102: $i] :
( ( ( ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= ( sK47_SY298
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV102
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( in @ SV201
@ ( sK61_SY238
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $false )
| ( ( ( sK76_SY350
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV201
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= SV201 )
= $true ) ),
inference(extuni,[status(esa)],[2352:[bind(SV153,$thf( sK10_SY235 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) @ SV102 ))]]) ).
thf(3537,plain,
! [SV195: $i,SV102: $i] :
( ( ( ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= ( sK47_SY298
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV102
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( in @ SV195
@ ( sK59_SY238
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $true )
| ( ( in @ SV195 @ SV102 )
= $false ) ),
inference(extuni,[status(esa)],[2357:[bind(SV153,$thf( sK10_SY235 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) @ SV102 )),bind(SV215,$thf( SV195 ))]]) ).
thf(3538,plain,
! [SV217: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( omega
= ( sK62_SY336 @ SV109 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK66_SY248 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 )
= SV217 )
= $true )
| ( ( SV109 @ SV217 )
= $false ) ),
inference(extuni,[status(esa)],[2361:[bind(SV182,$thf( omega ))]]) ).
thf(3539,plain,
! [SV217: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( sK40_SX0
= ( sK62_SY336 @ SV109 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK66_SY248 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 )
= SV217 )
= $true )
| ( ( SV109 @ SV217 )
= $false ) ),
inference(extuni,[status(esa)],[2362:[bind(SV182,$thf( sK40_SX0 ))]]) ).
thf(3540,plain,
! [SV217: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( emptyset
= ( sK62_SY336 @ SV109 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK66_SY248 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 )
= SV217 )
= $true )
| ( ( SV109 @ SV217 )
= $false ) ),
inference(extuni,[status(esa)],[2363:[bind(SV182,$thf( emptyset ))]]) ).
thf(3541,plain,
! [SV217: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( sK24_SX0
= ( sK62_SY336 @ SV109 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK66_SY248 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 )
= SV217 )
= $true )
| ( ( SV109 @ SV217 )
= $false ) ),
inference(extuni,[status(esa)],[2364:[bind(SV182,$thf( sK24_SX0 ))]]) ).
thf(3542,plain,
! [SV218: $i,SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true )
| ( ( omega
= ( sK63_SY337 @ SV60 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK67_SY157 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= SV218 )
= $true )
| ( ( SV60 @ SV218 )
= $false ) ),
inference(extuni,[status(esa)],[2382:[bind(SV183,$thf( omega ))]]) ).
thf(3543,plain,
! [SV218: $i,SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true )
| ( ( sK40_SX0
= ( sK63_SY337 @ SV60 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK67_SY157 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= SV218 )
= $true )
| ( ( SV60 @ SV218 )
= $false ) ),
inference(extuni,[status(esa)],[2383:[bind(SV183,$thf( sK40_SX0 ))]]) ).
thf(3544,plain,
! [SV218: $i,SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( emptyset
= ( sK63_SY337 @ SV60 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK67_SY157 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= SV218 )
= $true )
| ( ( SV60 @ SV218 )
= $false ) ),
inference(extuni,[status(esa)],[2384:[bind(SV183,$thf( emptyset ))]]) ).
thf(3545,plain,
! [SV218: $i,SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true )
| ( ( sK24_SX0
= ( sK63_SY337 @ SV60 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK67_SY157 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= SV218 )
= $true )
| ( ( SV60 @ SV218 )
= $false ) ),
inference(extuni,[status(esa)],[2385:[bind(SV183,$thf( sK24_SX0 ))]]) ).
thf(3546,plain,
! [SV201: $i,SV102: $i] :
( ( ( ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
= ( sK47_SY298
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ SV102
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true )
| ( ( in @ SV201
@ ( sK61_SY238
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 )
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV102 ) )
= $true )
| ( ( in @ SV201 @ SV102 )
= $false ) ),
inference(extuni,[status(esa)],[2390:[bind(SV153,$thf( sK10_SY235 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) @ SV102 )),bind(SV216,$thf( SV201 ))]]) ).
thf(3547,plain,
! [SV220: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( ( sK62_SY336 @ SV109 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK70_SY248 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 )
= SV220 )
= $true )
| ( ( SV109 @ SV220 )
= $false ) ),
inference(extuni,[status(esa)],[2394:[bind(SV182,$thf( omega ))]]) ).
thf(3548,plain,
! [SV220: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( ( sK62_SY336 @ SV109 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK70_SY248 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 )
= SV220 )
= $true )
| ( ( SV109 @ SV220 )
= $false ) ),
inference(extuni,[status(esa)],[2395:[bind(SV182,$thf( sK40_SX0 ))]]) ).
thf(3549,plain,
! [SV220: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( ( sK62_SY336 @ SV109 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK70_SY248 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 )
= SV220 )
= $true )
| ( ( SV109 @ SV220 )
= $false ) ),
inference(extuni,[status(esa)],[2396:[bind(SV182,$thf( emptyset ))]]) ).
thf(3550,plain,
! [SV220: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( ( sK62_SY336 @ SV109 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK70_SY248 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 )
= SV220 )
= $true )
| ( ( SV109 @ SV220 )
= $false ) ),
inference(extuni,[status(esa)],[2397:[bind(SV182,$thf( sK24_SX0 ))]]) ).
thf(3551,plain,
! [SV182: $i,SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV182
@ SV60 ) )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2401:[bind(SV220,$thf( omega ))]]) ).
thf(3552,plain,
! [SV182: $i,SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV182
@ SV60 ) )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2402:[bind(SV220,$thf( sK40_SX0 ))]]) ).
thf(3553,plain,
! [SV182: $i,SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV182
@ SV60 ) )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2403:[bind(SV220,$thf( emptyset ))]]) ).
thf(3554,plain,
! [SV182: $i,SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV182
@ SV60 ) )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2404:[bind(SV220,$thf( sK24_SX0 ))]]) ).
thf(3555,plain,
! [SV183: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV183
@ SV109 ) )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2408:[bind(SV221,$thf( omega ))]]) ).
thf(3556,plain,
! [SV183: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV183
@ SV109 ) )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2409:[bind(SV221,$thf( sK40_SX0 ))]]) ).
thf(3557,plain,
! [SV183: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV183
@ SV109 ) )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2410:[bind(SV221,$thf( emptyset ))]]) ).
thf(3558,plain,
! [SV183: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV183
@ SV109 ) )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2411:[bind(SV221,$thf( sK24_SX0 ))]]) ).
thf(3559,plain,
! [SV221: $i,SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $true )
| ( ( ( sK63_SY337 @ SV60 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK71_SY157 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= SV221 )
= $true )
| ( ( SV60 @ SV221 )
= $false ) ),
inference(extuni,[status(esa)],[2415:[bind(SV183,$thf( omega ))]]) ).
thf(3560,plain,
! [SV221: $i,SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $true )
| ( ( ( sK63_SY337 @ SV60 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK71_SY157 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= SV221 )
= $true )
| ( ( SV60 @ SV221 )
= $false ) ),
inference(extuni,[status(esa)],[2416:[bind(SV183,$thf( sK40_SX0 ))]]) ).
thf(3561,plain,
! [SV221: $i,SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( ( sK63_SY337 @ SV60 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK71_SY157 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= SV221 )
= $true )
| ( ( SV60 @ SV221 )
= $false ) ),
inference(extuni,[status(esa)],[2417:[bind(SV183,$thf( emptyset ))]]) ).
thf(3562,plain,
! [SV221: $i,SV60: $i > $o] :
( ( ( ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $true )
| ( ( ( sK63_SY337 @ SV60 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK71_SY157 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= SV221 )
= $true )
| ( ( SV60 @ SV221 )
= $false ) ),
inference(extuni,[status(esa)],[2418:[bind(SV183,$thf( sK24_SX0 ))]]) ).
thf(3563,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $false )
| ( ( omega
= ( sK74_SY352 @ SV109 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( SV109
@ ( sK83_SY248 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2422:[bind(SV202,$thf( omega ))]]) ).
thf(3564,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $false )
| ( ( sK40_SX0
= ( sK74_SY352 @ SV109 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK83_SY248 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2423:[bind(SV202,$thf( sK40_SX0 ))]]) ).
thf(3565,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $false )
| ( ( emptyset
= ( sK74_SY352 @ SV109 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( SV109
@ ( sK83_SY248 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2424:[bind(SV202,$thf( emptyset ))]]) ).
thf(3566,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $false )
| ( ( sK24_SX0
= ( sK74_SY352 @ SV109 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK83_SY248 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2425:[bind(SV202,$thf( sK24_SX0 ))]]) ).
thf(3567,plain,
! [SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false )
| ( ( omega
= ( sK75_SY353 @ SV60 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( SV60
@ ( sK84_SY157 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2443:[bind(SV203,$thf( omega ))]]) ).
thf(3568,plain,
! [SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false )
| ( ( sK40_SX0
= ( sK75_SY353 @ SV60 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK84_SY157 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2444:[bind(SV203,$thf( sK40_SX0 ))]]) ).
thf(3569,plain,
! [SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false )
| ( ( emptyset
= ( sK75_SY353 @ SV60 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( SV60
@ ( sK84_SY157 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2445:[bind(SV203,$thf( emptyset ))]]) ).
thf(3570,plain,
! [SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false )
| ( ( sK24_SX0
= ( sK75_SY353 @ SV60 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK84_SY157 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2446:[bind(SV203,$thf( sK24_SX0 ))]]) ).
thf(3587,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV109
@ ( sK89_SY248 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2506:[bind(SV202,$thf( omega ))]]) ).
thf(3588,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV109
@ ( sK89_SY248 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2507:[bind(SV202,$thf( sK40_SX0 ))]]) ).
thf(3589,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV109
@ ( sK89_SY248 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2508:[bind(SV202,$thf( emptyset ))]]) ).
thf(3590,plain,
! [SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV109
@ ( sK89_SY248 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2509:[bind(SV202,$thf( sK24_SX0 ))]]) ).
thf(3591,plain,
! [SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV60
@ ( sK90_SY157 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2527:[bind(SV203,$thf( omega ))]]) ).
thf(3592,plain,
! [SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV60
@ ( sK90_SY157 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2528:[bind(SV203,$thf( sK40_SX0 ))]]) ).
thf(3593,plain,
! [SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV60
@ ( sK90_SY157 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2529:[bind(SV203,$thf( emptyset ))]]) ).
thf(3594,plain,
! [SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV60
@ ( sK90_SY157 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2530:[bind(SV203,$thf( sK24_SX0 ))]]) ).
thf(3595,plain,
! [SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( omega
= ( sK81_SY362 @ SV109 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( SV109
@ ( sK91_SY248 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2534:[bind(SV212,$thf( omega ))]]) ).
thf(3596,plain,
! [SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( sK40_SX0
= ( sK81_SY362 @ SV109 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK91_SY248 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2535:[bind(SV212,$thf( sK40_SX0 ))]]) ).
thf(3597,plain,
! [SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( emptyset
= ( sK81_SY362 @ SV109 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( SV109
@ ( sK91_SY248 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2536:[bind(SV212,$thf( emptyset ))]]) ).
thf(3598,plain,
! [SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( sK24_SX0
= ( sK81_SY362 @ SV109 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( SV109
@ ( sK91_SY248 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2537:[bind(SV212,$thf( sK24_SX0 ))]]) ).
thf(3599,plain,
! [SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( omega
= ( sK82_SY363 @ SV60 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( SV60
@ ( sK92_SY157 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2555:[bind(SV213,$thf( omega ))]]) ).
thf(3600,plain,
! [SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( sK40_SX0
= ( sK82_SY363 @ SV60 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK92_SY157 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2556:[bind(SV213,$thf( sK40_SX0 ))]]) ).
thf(3601,plain,
! [SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( emptyset
= ( sK82_SY363 @ SV60 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( SV60
@ ( sK92_SY157 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2557:[bind(SV213,$thf( emptyset ))]]) ).
thf(3602,plain,
! [SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( sK24_SX0
= ( sK82_SY363 @ SV60 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( SV60
@ ( sK92_SY157 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2558:[bind(SV213,$thf( sK24_SX0 ))]]) ).
thf(3619,plain,
! [SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK81_SY362 @ SV109 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV109
@ ( sK97_SY248 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2618:[bind(SV212,$thf( omega ))]]) ).
thf(3620,plain,
! [SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK81_SY362 @ SV109 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV109
@ ( sK97_SY248 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2619:[bind(SV212,$thf( sK40_SX0 ))]]) ).
thf(3621,plain,
! [SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK81_SY362 @ SV109 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV109
@ ( sK97_SY248 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2620:[bind(SV212,$thf( emptyset ))]]) ).
thf(3622,plain,
! [SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK81_SY362 @ SV109 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV109
@ ( sK97_SY248 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true ) ),
inference(extuni,[status(esa)],[2621:[bind(SV212,$thf( sK24_SX0 ))]]) ).
thf(3623,plain,
! [SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( ( sK82_SY363 @ SV60 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV60
@ ( sK98_SY157 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2639:[bind(SV213,$thf( omega ))]]) ).
thf(3624,plain,
! [SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK82_SY363 @ SV60 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV60
@ ( sK98_SY157 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2640:[bind(SV213,$thf( sK40_SX0 ))]]) ).
thf(3625,plain,
! [SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( ( sK82_SY363 @ SV60 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV60
@ ( sK98_SY157 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2641:[bind(SV213,$thf( emptyset ))]]) ).
thf(3626,plain,
! [SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK82_SY363 @ SV60 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV60
@ ( sK98_SY157 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true ) ),
inference(extuni,[status(esa)],[2642:[bind(SV213,$thf( sK24_SX0 ))]]) ).
thf(3627,plain,
! [SV224: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $false )
| ( ( omega
= ( sK74_SY352 @ SV109 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK83_SY248 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 )
= SV224 )
= $true )
| ( ( SV109 @ SV224 )
= $false ) ),
inference(extuni,[status(esa)],[2646:[bind(SV202,$thf( omega ))]]) ).
thf(3628,plain,
! [SV224: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $false )
| ( ( sK40_SX0
= ( sK74_SY352 @ SV109 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK83_SY248 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 )
= SV224 )
= $true )
| ( ( SV109 @ SV224 )
= $false ) ),
inference(extuni,[status(esa)],[2647:[bind(SV202,$thf( sK40_SX0 ))]]) ).
thf(3629,plain,
! [SV224: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $false )
| ( ( emptyset
= ( sK74_SY352 @ SV109 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK83_SY248 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 )
= SV224 )
= $true )
| ( ( SV109 @ SV224 )
= $false ) ),
inference(extuni,[status(esa)],[2648:[bind(SV202,$thf( emptyset ))]]) ).
thf(3630,plain,
! [SV224: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $false )
| ( ( sK24_SX0
= ( sK74_SY352 @ SV109 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK83_SY248 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 )
= SV224 )
= $true )
| ( ( SV109 @ SV224 )
= $false ) ),
inference(extuni,[status(esa)],[2649:[bind(SV202,$thf( sK24_SX0 ))]]) ).
thf(3631,plain,
! [SV225: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false )
| ( ( omega
= ( sK75_SY353 @ SV60 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK84_SY157 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= SV225 )
= $true )
| ( ( SV60 @ SV225 )
= $false ) ),
inference(extuni,[status(esa)],[2667:[bind(SV203,$thf( omega ))]]) ).
thf(3632,plain,
! [SV225: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false )
| ( ( sK40_SX0
= ( sK75_SY353 @ SV60 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK84_SY157 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= SV225 )
= $true )
| ( ( SV60 @ SV225 )
= $false ) ),
inference(extuni,[status(esa)],[2668:[bind(SV203,$thf( sK40_SX0 ))]]) ).
thf(3633,plain,
! [SV225: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false )
| ( ( emptyset
= ( sK75_SY353 @ SV60 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK84_SY157 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= SV225 )
= $true )
| ( ( SV60 @ SV225 )
= $false ) ),
inference(extuni,[status(esa)],[2669:[bind(SV203,$thf( emptyset ))]]) ).
thf(3634,plain,
! [SV225: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false )
| ( ( sK24_SX0
= ( sK75_SY353 @ SV60 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK84_SY157 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= SV225 )
= $true )
| ( ( SV60 @ SV225 )
= $false ) ),
inference(extuni,[status(esa)],[2670:[bind(SV203,$thf( sK24_SX0 ))]]) ).
thf(3651,plain,
! [SV232: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK89_SY248 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 )
= SV232 )
= $true )
| ( ( SV109 @ SV232 )
= $false ) ),
inference(extuni,[status(esa)],[2730:[bind(SV202,$thf( omega ))]]) ).
thf(3652,plain,
! [SV232: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK89_SY248 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 )
= SV232 )
= $true )
| ( ( SV109 @ SV232 )
= $false ) ),
inference(extuni,[status(esa)],[2731:[bind(SV202,$thf( sK40_SX0 ))]]) ).
thf(3653,plain,
! [SV232: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK89_SY248 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 )
= SV232 )
= $true )
| ( ( SV109 @ SV232 )
= $false ) ),
inference(extuni,[status(esa)],[2732:[bind(SV202,$thf( emptyset ))]]) ).
thf(3654,plain,
! [SV232: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $false )
| ( ( ( sK74_SY352 @ SV109 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK89_SY248 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 )
= SV232 )
= $true )
| ( ( SV109 @ SV232 )
= $false ) ),
inference(extuni,[status(esa)],[2733:[bind(SV202,$thf( sK24_SX0 ))]]) ).
thf(3655,plain,
! [SV202: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV202
@ SV60 ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2737:[bind(SV232,$thf( omega ))]]) ).
thf(3656,plain,
! [SV202: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV202
@ SV60 ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2738:[bind(SV232,$thf( sK40_SX0 ))]]) ).
thf(3657,plain,
! [SV202: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV202
@ SV60 ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2739:[bind(SV232,$thf( emptyset ))]]) ).
thf(3658,plain,
! [SV202: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV202
@ SV60 ) )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2740:[bind(SV232,$thf( sK24_SX0 ))]]) ).
thf(3659,plain,
! [SV203: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2744:[bind(SV233,$thf( omega ))]]) ).
thf(3660,plain,
! [SV203: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2745:[bind(SV233,$thf( sK40_SX0 ))]]) ).
thf(3661,plain,
! [SV203: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2746:[bind(SV233,$thf( emptyset ))]]) ).
thf(3662,plain,
! [SV203: $i,SV109: $i > $o] :
( ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2747:[bind(SV233,$thf( sK24_SX0 ))]]) ).
thf(3663,plain,
! [SV233: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK90_SY157 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= SV233 )
= $true )
| ( ( SV60 @ SV233 )
= $false ) ),
inference(extuni,[status(esa)],[2751:[bind(SV203,$thf( omega ))]]) ).
thf(3664,plain,
! [SV233: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK90_SY157 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= SV233 )
= $true )
| ( ( SV60 @ SV233 )
= $false ) ),
inference(extuni,[status(esa)],[2752:[bind(SV203,$thf( sK40_SX0 ))]]) ).
thf(3665,plain,
! [SV233: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK90_SY157 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= SV233 )
= $true )
| ( ( SV60 @ SV233 )
= $false ) ),
inference(extuni,[status(esa)],[2753:[bind(SV203,$thf( emptyset ))]]) ).
thf(3666,plain,
! [SV233: $i,SV60: $i > $o] :
( ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $false )
| ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $false )
| ( ( ( sK75_SY353 @ SV60 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK90_SY157 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= SV233 )
= $true )
| ( ( SV60 @ SV233 )
= $false ) ),
inference(extuni,[status(esa)],[2754:[bind(SV203,$thf( sK24_SX0 ))]]) ).
thf(3667,plain,
! [SV235: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( omega
= ( sK81_SY362 @ SV109 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK91_SY248 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 )
= SV235 )
= $true )
| ( ( SV109 @ SV235 )
= $false ) ),
inference(extuni,[status(esa)],[2758:[bind(SV212,$thf( omega ))]]) ).
thf(3668,plain,
! [SV235: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( sK40_SX0
= ( sK81_SY362 @ SV109 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK91_SY248 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 )
= SV235 )
= $true )
| ( ( SV109 @ SV235 )
= $false ) ),
inference(extuni,[status(esa)],[2759:[bind(SV212,$thf( sK40_SX0 ))]]) ).
thf(3669,plain,
! [SV235: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( emptyset
= ( sK81_SY362 @ SV109 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK91_SY248 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 )
= SV235 )
= $true )
| ( ( SV109 @ SV235 )
= $false ) ),
inference(extuni,[status(esa)],[2760:[bind(SV212,$thf( emptyset ))]]) ).
thf(3670,plain,
! [SV235: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( sK24_SX0
= ( sK81_SY362 @ SV109 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK91_SY248 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 )
= SV235 )
= $true )
| ( ( SV109 @ SV235 )
= $false ) ),
inference(extuni,[status(esa)],[2761:[bind(SV212,$thf( sK24_SX0 ))]]) ).
thf(3671,plain,
! [SV236: $i,SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( omega
= ( sK82_SY363 @ SV60 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) ) )
= $false )
| ( ( ( sK92_SY157 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= SV236 )
= $true )
| ( ( SV60 @ SV236 )
= $false ) ),
inference(extuni,[status(esa)],[2779:[bind(SV213,$thf( omega ))]]) ).
thf(3672,plain,
! [SV236: $i,SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( sK40_SX0
= ( sK82_SY363 @ SV60 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) ) )
= $false )
| ( ( ( sK92_SY157 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= SV236 )
= $true )
| ( ( SV60 @ SV236 )
= $false ) ),
inference(extuni,[status(esa)],[2780:[bind(SV213,$thf( sK40_SX0 ))]]) ).
thf(3673,plain,
! [SV236: $i,SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( emptyset
= ( sK82_SY363 @ SV60 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $false )
| ( ( ( sK92_SY157 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= SV236 )
= $true )
| ( ( SV60 @ SV236 )
= $false ) ),
inference(extuni,[status(esa)],[2781:[bind(SV213,$thf( emptyset ))]]) ).
thf(3674,plain,
! [SV236: $i,SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( sK24_SX0
= ( sK82_SY363 @ SV60 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) ) )
= $false )
| ( ( ( sK92_SY157 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= SV236 )
= $true )
| ( ( SV60 @ SV236 )
= $false ) ),
inference(extuni,[status(esa)],[2782:[bind(SV213,$thf( sK24_SX0 ))]]) ).
thf(3707,plain,
! [SV241: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK81_SY362 @ SV109 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK97_SY248 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 )
= SV241 )
= $true )
| ( ( SV109 @ SV241 )
= $false ) ),
inference(extuni,[status(esa)],[2842:[bind(SV212,$thf( omega ))]]) ).
thf(3708,plain,
! [SV241: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK81_SY362 @ SV109 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK97_SY248 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 )
= SV241 )
= $true )
| ( ( SV109 @ SV241 )
= $false ) ),
inference(extuni,[status(esa)],[2843:[bind(SV212,$thf( sK40_SX0 ))]]) ).
thf(3709,plain,
! [SV241: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK81_SY362 @ SV109 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK97_SY248 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 )
= SV241 )
= $true )
| ( ( SV109 @ SV241 )
= $false ) ),
inference(extuni,[status(esa)],[2844:[bind(SV212,$thf( emptyset ))]]) ).
thf(3710,plain,
! [SV241: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK81_SY362 @ SV109 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK97_SY248 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 )
= SV241 )
= $true )
| ( ( SV109 @ SV241 )
= $false ) ),
inference(extuni,[status(esa)],[2845:[bind(SV212,$thf( sK24_SX0 ))]]) ).
thf(3711,plain,
! [SV212: $i,SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2849:[bind(SV241,$thf( omega ))]]) ).
thf(3712,plain,
! [SV212: $i,SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2850:[bind(SV241,$thf( sK40_SX0 ))]]) ).
thf(3713,plain,
! [SV212: $i,SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2851:[bind(SV241,$thf( emptyset ))]]) ).
thf(3714,plain,
! [SV212: $i,SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60 @ SV212 )
= $false )
| ( ( ( sK97_SY248 @ SV212 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2852:[bind(SV241,$thf( sK24_SX0 ))]]) ).
thf(3715,plain,
! [SV213: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV213
@ SV109 ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true ) ),
inference(extuni,[status(esa)],[2856:[bind(SV242,$thf( omega ))]]) ).
thf(3716,plain,
! [SV213: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV213
@ SV109 ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2857:[bind(SV242,$thf( sK40_SX0 ))]]) ).
thf(3717,plain,
! [SV213: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV213
@ SV109 ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[2858:[bind(SV242,$thf( emptyset ))]]) ).
thf(3718,plain,
! [SV213: $i,SV109: $i > $o] :
( ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV213
@ SV109 ) )
= $true )
| ( ( SV109 @ SV213 )
= $false )
| ( ( ( sK98_SY157 @ SV213 @ SV109
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[2859:[bind(SV242,$thf( sK24_SX0 ))]]) ).
thf(3719,plain,
! [SV242: $i,SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 ) )
= $true )
| ( ( ( sK82_SY363 @ SV60 @ omega
@ ^ [SX0: $i] : ( SX0 = omega ) )
= omega )
= $true )
| ( ( ( sK98_SY157 @ omega
@ ^ [SX0: $i] : ( SX0 = omega )
@ SV60 )
= SV242 )
= $true )
| ( ( SV60 @ SV242 )
= $false ) ),
inference(extuni,[status(esa)],[2863:[bind(SV213,$thf( omega ))]]) ).
thf(3720,plain,
! [SV242: $i,SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK82_SY363 @ SV60 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 ) )
= sK40_SX0 )
= $true )
| ( ( ( sK98_SY157 @ sK40_SX0
@ ^ [SX0: $i] : ( SX0 = sK40_SX0 )
@ SV60 )
= SV242 )
= $true )
| ( ( SV60 @ SV242 )
= $false ) ),
inference(extuni,[status(esa)],[2864:[bind(SV213,$thf( sK40_SX0 ))]]) ).
thf(3721,plain,
! [SV242: $i,SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 ) )
= $true )
| ( ( ( sK82_SY363 @ SV60 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= emptyset )
= $true )
| ( ( ( sK98_SY157 @ emptyset
@ ^ [SX0: $i] : ( SX0 = emptyset )
@ SV60 )
= SV242 )
= $true )
| ( ( SV60 @ SV242 )
= $false ) ),
inference(extuni,[status(esa)],[2865:[bind(SV213,$thf( emptyset ))]]) ).
thf(3722,plain,
! [SV242: $i,SV60: $i > $o] :
( ( ( ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 ) )
= $true )
| ( ( ( sK82_SY363 @ SV60 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 ) )
= sK24_SX0 )
= $true )
| ( ( ( sK98_SY157 @ sK24_SX0
@ ^ [SX0: $i] : ( SX0 = sK24_SX0 )
@ SV60 )
= SV242 )
= $true )
| ( ( SV60 @ SV242 )
= $false ) ),
inference(extuni,[status(esa)],[2866:[bind(SV213,$thf( sK24_SX0 ))]]) ).
thf(3723,plain,
( ( in @ emptyset @ ( prop2set @ $true ) )
= $true ),
inference(sim,[status(thm)],[381]) ).
thf(3724,plain,
( ( set2prop @ ( prop2set @ $true ) )
= $true ),
inference(sim,[status(thm)],[399]) ).
thf(3725,plain,
! [SV33: $i] :
( ( in @ SV33 @ emptyset )
= $false ),
inference(sim,[status(thm)],[408]) ).
thf(3726,plain,
! [SV25: $i] :
( ( in @ SV25 @ emptyset )
= $false ),
inference(sim,[status(thm)],[467]) ).
thf(3727,plain,
! [SV106: $i] :
( ( in @ SV106 @ ( prop2set @ $false ) )
= $false ),
inference(sim,[status(thm)],[499]) ).
thf(3728,plain,
! [SV13: $i,SV78: $i] :
( ( ( in @ SV78 @ ( sK20_SX0 @ SV13 @ SV78 ) )
= $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(sim,[status(thm)],[811]) ).
thf(3729,plain,
! [SV78: $i,SV13: $i] :
( ( ( in @ ( sK20_SX0 @ SV13 @ SV78 ) @ SV13 )
= $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(sim,[status(thm)],[873]) ).
thf(3730,plain,
! [SV145: $i,SV86: $i > $o,SV30: $i] :
( ( ( ( dsetconstr @ SV30
@ ^ [SY213: $i] : ( SV86 @ SY213 ) )
= emptyset )
= $false )
| ( ( in @ SV145 @ SV30 )
= $false )
| ( ( SV86 @ SV145 )
= $false ) ),
inference(sim,[status(thm)],[1009]) ).
thf(3731,plain,
! [SV46: $i,SV96: $i,SV120: $i] :
( ( ( in @ SV120 @ SV96 )
= $true )
| ( ( SV120 = SV46 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(sim,[status(thm)],[1083]) ).
thf(3732,plain,
! [SV5: $o] :
( ( ( in @ emptyset @ ( prop2set @ SV5 ) )
= $true )
| ( SV5 = $false ) ),
inference(sim,[status(thm)],[3027]) ).
thf(3733,plain,
! [SV24: $o] :
( ( ( set2prop @ ( prop2set @ SV24 ) )
= $true )
| ( SV24 = $false ) ),
inference(sim,[status(thm)],[3028]) ).
thf(3734,plain,
! [SV126: $o,SV25: $i] :
( ( ( in @ SV25 @ emptyset )
= $false )
| ( SV126 = $true ) ),
inference(sim,[status(thm)],[2997]) ).
thf(3735,plain,
! [SV57: $o,SV104: $i] :
( ( ( in @ SV104 @ ( prop2set @ SV57 ) )
= $false )
| ( SV57 = $true ) ),
inference(sim,[status(thm)],[2999]) ).
thf(3736,plain,
! [SV59: $i > $o,SV108: $i] :
( ( ( in @ SV108 @ emptyset )
= $false )
| ( ( SV59 @ SV108 )
= $true ) ),
inference(sim,[status(thm)],[3001]) ).
thf(3737,plain,
! [SV26: $i] :
( ( ( in @ ( sK4_SY70 @ SV26 ) @ SV26 )
= $true )
| ( ( SV26 = emptyset )
= $true ) ),
inference(sim,[status(thm)],[2975]) ).
thf(3738,plain,
! [SV39: $i] :
( ( ( in @ ( sK5_SY94 @ SV39 ) @ SV39 )
= $true )
| ( ( SV39 = emptyset )
= $true ) ),
inference(sim,[status(thm)],[2977]) ).
thf(3739,plain,
! [SV100: $i > $o,SV50: $i,SV122: $i] :
( ( ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SY233: $i] : ( SV100 @ SY233 ) ) )
= $false )
| ( ( SV100 @ SV122 )
= $true ) ),
inference(sim,[status(thm)],[3005]) ).
thf(3740,plain,
! [SV40: $i] :
( ( ( in @ ( sK13_SY95 @ SV40 ) @ SV40 )
= $true )
| ( ( SV40 = emptyset )
= $true ) ),
inference(sim,[status(thm)],[2981]) ).
thf(3741,plain,
! [SV101: $i,SV54: $i] :
( ( ( in @ ( sK9_SY234 @ SV54 @ SV101 ) @ SV101 )
= $true )
| ( ( in @ SV101 @ ( powerset @ SV54 ) )
= $true ) ),
inference(sim,[status(thm)],[2983]) ).
thf(3742,plain,
! [SV141: $i] :
( ( in @ SV141 @ emptyset )
= $false ),
inference(sim,[status(thm)],[3037]) ).
thf(3743,plain,
! [SV23: $i] :
( ( ( in @ ( sK12_SY68 @ SV23 ) @ SV23 )
= $true )
| ( ( SV23 = emptyset )
= $true ) ),
inference(sim,[status(thm)],[2987]) ).
thf(3744,plain,
! [SV97: $i,SV47: $i] :
( ( ( in @ ( sK21_SY226 @ SV47 @ SV97 ) @ SV97 )
= $true )
| ( ( in @ SV97 @ ( powerset @ SV47 ) )
= $true ) ),
inference(sim,[status(thm)],[2991]) ).
thf(3745,plain,
( ( in @ emptyset @ ( prop2set @ $true ) )
= $true ),
inference(sim,[status(thm)],[381]) ).
thf(3746,plain,
( ( set2prop @ ( prop2set @ $true ) )
= $true ),
inference(sim,[status(thm)],[399]) ).
thf(3747,plain,
! [SV33: $i] :
( ( in @ SV33 @ emptyset )
= $false ),
inference(sim,[status(thm)],[408]) ).
thf(3748,plain,
! [SV25: $i] :
( ( in @ SV25 @ emptyset )
= $false ),
inference(sim,[status(thm)],[467]) ).
thf(3749,plain,
! [SV106: $i] :
( ( in @ SV106 @ ( prop2set @ $false ) )
= $false ),
inference(sim,[status(thm)],[499]) ).
thf(3750,plain,
! [SV13: $i,SV78: $i] :
( ( ( in @ SV78 @ ( sK20_SX0 @ SV13 @ SV78 ) )
= $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(sim,[status(thm)],[811]) ).
thf(3751,plain,
! [SV78: $i,SV13: $i] :
( ( ( in @ ( sK20_SX0 @ SV13 @ SV78 ) @ SV13 )
= $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(sim,[status(thm)],[873]) ).
thf(3752,plain,
! [SV46: $i,SV96: $i,SV120: $i] :
( ( ( in @ SV120 @ SV96 )
= $true )
| ( ( SV120 = SV46 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(sim,[status(thm)],[1083]) ).
thf(3753,plain,
( ( in @ emptyset @ ( prop2set @ $true ) )
= $true ),
inference(sim,[status(thm)],[1858]) ).
thf(3754,plain,
( ( set2prop @ ( prop2set @ $true ) )
= $true ),
inference(sim,[status(thm)],[1861]) ).
thf(3755,plain,
! [SV25: $i] :
( ( in @ SV25 @ emptyset )
= $false ),
inference(sim,[status(thm)],[1865]) ).
thf(3756,plain,
! [SV104: $i] :
( ( in @ SV104 @ ( prop2set @ $false ) )
= $false ),
inference(sim,[status(thm)],[1868]) ).
thf(3757,plain,
! [SV108: $i] :
( ( in @ SV108 @ emptyset )
= $false ),
inference(sim,[status(thm)],[1871]) ).
thf(3758,plain,
! [SV50: $i,SV122: $i] :
( ( in @ SV122
@ ( dsetconstr @ SV50
@ ^ [SX0: $i] : $false ) )
= $false ),
inference(sim,[status(thm)],[1878]) ).
thf(3759,plain,
! [SV11: $i,SV116: $i] :
( ( ( in @ SV116
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV116 @ SV11 )
= $false ) ),
inference(sim,[status(thm)],[1884]) ).
thf(3760,plain,
! [SV13: $i,SV78: $i] :
( ( ( in @ SV78 @ ( sK18_SY283 @ $false @ SV13 @ SV78 ) )
= $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(sim,[status(thm)],[1899]) ).
thf(3761,plain,
! [SV48: $i,SV121: $i] :
( ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(sim,[status(thm)],[1905]) ).
thf(3762,plain,
! [SV48: $i,SV121: $i] :
( ( ( in @ SV121
@ ( dsetconstr @ SV48
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV121 @ SV48 )
= $false ) ),
inference(sim,[status(thm)],[1911]) ).
thf(3763,plain,
! [SV78: $i,SV13: $i] :
( ( ( in @ ( sK18_SY283 @ $false @ SV13 @ SV78 ) @ SV13 )
= $true )
| ( ( in @ SV78 @ ( setunion @ SV13 ) )
= $false ) ),
inference(sim,[status(thm)],[1919]) ).
thf(3764,plain,
! [SV7: $i,SV143: $i] :
( ( ( in
@ ( sK29_SY195 @ SV143
@ ^ [SX0: $i] : $false
@ SV7 )
@ SV7 )
= $true )
| ( ( in @ SV143 @ SV7 )
= $false ) ),
inference(sim,[status(thm)],[1952]) ).
thf(3765,plain,
! [SV43: $i,SV147: $i] :
( ( ( in
@ ( sK32_SY219 @ SV147
@ ^ [SX0: $i] : $false
@ SV43 )
@ SV43 )
= $true )
| ( ( in @ SV147 @ SV43 )
= $false ) ),
inference(sim,[status(thm)],[1959]) ).
thf(3766,plain,
! [SV46: $i,SV96: $i,SV120: $i] :
( ( ( in @ SV120 @ SV96 )
= $true )
| ( ( SV120 = SV46 )
= $true )
| ( ( in @ SV120 @ ( setadjoin @ SV46 @ SV96 ) )
= $false ) ),
inference(sim,[status(thm)],[1966]) ).
thf(3767,plain,
! [SV8: $i,SV163: $i] :
( ( ( in @ SV163 @ SV8 )
= $false )
| ( ( in
@ ( sK15_SY196
@ ^ [SX0: $i] : $true
@ SV8 )
@ SV8 )
= $true ) ),
inference(sim,[status(thm)],[1975]) ).
thf(3768,plain,
! [SV22: $i,SV158: $i] :
( ( ( in @ SV158 @ SV22 )
= $false )
| ( ( in
@ ( sK7_SY208
@ ^ [SX0: $i] : $true
@ SV22 )
@ SV22 )
= $true ) ),
inference(sim,[status(thm)],[1989]) ).
thf(3769,plain,
! [SV45: $i,SV165: $i] :
( ( ( in @ SV165 @ SV45 )
= $false )
| ( ( in
@ ( sK17_SY221
@ ^ [SX0: $i] : $true
@ SV45 )
@ SV45 )
= $true ) ),
inference(sim,[status(thm)],[2017]) ).
thf(3770,plain,
! [SV29: $i,SV144: $i] :
( ( ( in
@ ( sK45_SY211 @ SV144
@ ^ [SX0: $i] : $false
@ SV29 )
@ SV29 )
= $true )
| ( ( in @ SV144 @ SV29 )
= $false ) ),
inference(sim,[status(thm)],[2039]) ).
thf(3771,plain,
! [SV134: $i] :
( ( ( sK16_SY286 @ SV134
@ ^ [SX0: $i] : $false )
= SV134 )
= $true ),
inference(sim,[status(thm)],[2186]) ).
thf(3772,plain,
! [SV102: $i,SV161: $i] :
( ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] : $false
@ SV102 ) )
= $false )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : $false
@ SV102 )
@ SV102 )
= $true ) ),
inference(sim,[status(thm)],[2247]) ).
thf(3773,plain,
! [SV161: $i,SV102: $i,SV189: $i] :
( ( ( in @ SV189 @ SV102 )
= $false )
| ( ( in @ SV161
@ ( sK28_SY238
@ ^ [SX0: $i,SX1: $i] : $true
@ SV102 ) )
= $true )
| ( ( in
@ ( sK10_SY235
@ ^ [SX0: $i,SX1: $i] : $true
@ SV102 )
@ SV102 )
= $true ) ),
inference(sim,[status(thm)],[2265]) ).
thf(3774,plain,
! [SV182: $i,SV60: $i > $o] :
( ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : $false
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : $false
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[2313]) ).
thf(3775,plain,
! [SV183: $i,SV109: $i > $o] :
( ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : $false
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : $false )
= ( sK14_SY292
@ ^ [SX0: $i] : $false
@ SV109 ) )
= $true ) ),
inference(sim,[status(thm)],[2320]) ).
thf(3776,plain,
! [SV220: $i,SV60: $i > $o,SV182: $i] :
( ( ( ( sK70_SY248 @ SV182 @ SV60
@ ^ [SX0: $i] : $true )
= SV220 )
= $true )
| ( ( SV60 @ SV182 )
= $false )
| ( ( SV60
@ ( sK62_SY336
@ ^ [SX0: $i] : $true
@ SV182
@ SV60 ) )
= $true )
| ( ( ( sK11_SY244
@ ^ [SX0: $i] : $true
@ SV60 )
= ( sK14_SY292 @ SV60
@ ^ [SX0: $i] : $true ) )
= $true ) ),
inference(sim,[status(thm)],[2398]) ).
thf(3777,plain,
! [SV221: $i,SV109: $i > $o,SV183: $i] :
( ( ( ( sK71_SY157 @ SV183 @ SV109
@ ^ [SX0: $i] : $true )
= SV221 )
= $true )
| ( ( SV109 @ SV183 )
= $false )
| ( ( SV109
@ ( sK63_SY337
@ ^ [SX0: $i] : $true
@ SV183
@ SV109 ) )
= $true )
| ( ( ( sK11_SY244 @ SV109
@ ^ [SX0: $i] : $true )
= ( sK14_SY292
@ ^ [SX0: $i] : $true
@ SV109 ) )
= $true ) ),
inference(sim,[status(thm)],[2405]) ).
thf(3778,plain,
! [SV212: $i,SV60: $i > $o] :
( ( ( SV60 @ SV212 )
= $false )
| ( ( SV60
@ ( sK81_SY362
@ ^ [SX0: $i] : $false
@ SV212
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : $false
@ SV60 ) )
= $true ) ),
inference(sim,[status(thm)],[2623]) ).
thf(3779,plain,
! [SV213: $i,SV109: $i > $o] :
( ( ( SV109 @ SV213 )
= $false )
| ( ( SV109
@ ( sK82_SY363
@ ^ [SX0: $i] : $false
@ SV213
@ SV109 ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : $false
@ SV109 ) )
= $true ) ),
inference(sim,[status(thm)],[2630]) ).
thf(3780,plain,
! [SV232: $i,SV60: $i > $o,SV202: $i] :
( ( ( ( sK89_SY248 @ SV202 @ SV60
@ ^ [SX0: $i] : $true )
= SV232 )
= $true )
| ( ( SV60 @ SV202 )
= $false )
| ( ( SV60
@ ( sK74_SY352
@ ^ [SX0: $i] : $true
@ SV202
@ SV60 ) )
= $true )
| ( ( SV60
@ ( sK11_SY244
@ ^ [SX0: $i] : $true
@ SV60 ) )
= $false ) ),
inference(sim,[status(thm)],[2734]) ).
thf(3781,plain,
! [SV233: $i,SV109: $i > $o,SV203: $i] :
( ( ( ( sK90_SY157 @ SV203 @ SV109
@ ^ [SX0: $i] : $true )
= SV233 )
= $true )
| ( ( SV109 @ SV203 )
= $false )
| ( ( SV109
@ ( sK75_SY353
@ ^ [SX0: $i] : $true
@ SV203
@ SV109 ) )
= $true )
| ( ( SV109
@ ( sK14_SY292
@ ^ [SX0: $i] : $true
@ SV109 ) )
= $false ) ),
inference(sim,[status(thm)],[2741]) ).
thf(3782,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[173,3781,3780,3779,3778,3777,3776,3775,3774,3773,3772,3771,3770,3769,3768,3767,3766,3765,3764,3763,3762,3761,3760,3759,3758,3757,3756,3755,3754,3753,3752,3751,3750,3749,3748,3747,3746,3745,3744,3743,3742,3741,3740,3739,3738,3737,3736,3735,3734,3733,3732,3731,3730,3729,3728,3727,3726,3725,3724,3723,3722,3721,3720,3719,3718,3717,3716,3715,3714,3713,3712,3711,3710,3709,3708,3707,3674,3673,3672,3671,3670,3669,3668,3667,3666,3665,3664,3663,3662,3661,3660,3659,3658,3657,3656,3655,3654,3653,3652,3651,3634,3633,3632,3631,3630,3629,3628,3627,3626,3625,3624,3623,3622,3621,3620,3619,3602,3601,3600,3599,3598,3597,3596,3595,3594,3593,3592,3591,3590,3589,3588,3587,3570,3569,3568,3567,3566,3565,3564,3563,3562,3561,3560,3559,3558,3557,3556,3555,3554,3553,3552,3551,3550,3549,3548,3547,3546,3545,3544,3543,3542,3541,3540,3539,3538,3537,3536,3535,3534,3533,3532,3531,3530,3529,3528,3527,3526,3525,3524,3523,3522,3521,3520,3519,3518,3517,3516,3515,3514,3513,3512,3507,3506,3505,3504,3503,3502,3501,3500,3499,3498,3497,3496,3495,3492,3491,3490,3489,3488,3487,3486,3485,3484,3483,3482,3481,3480,3479,3478,3477,3476,3475,3474,3473,3472,3471,3470,3469,3468,3467,3466,3465,3464,3463,3462,3461,3460,3459,3458,3457,3452,3451,3450,3449,3448,3447,3446,3445,3440,3439,3438,3437,3432,3431,3430,3429,3428,3427,3426,3425,3420,3419,3418,3417,3416,3415,3414,3413,3412,3411,3410,3409,3408,3407,3406,3405,3404,3403,3402,3401,3400,3399,3398,3397,3396,3395,3394,3393,3392,3391,3390,3389,3388,3387,3386,3385,3384,3383,3382,3381,3380,3379,3378,3377,3372,3371,3370,3369,3364,3363,3358,3357,3352,3351,3345,3343,3341,3340,3338,3337,3336,3334,3332,3331,3328,3326,3325,3322,3321,3308,3307,3296,3295,3282,3281,3271,3270,3262,3259,3258,3257,3248,3227,3226,3225,3224,3223,3222,3150,3149,3130,3129,3122,3121,3117,3088,3085,3081,3079,3077,3076,3075,3068,3067,3066,3064,3062,3061,3060,3059,3058,3057,3056,3055,3054,3053,3050,3049,3048,3047,3045,3043,3042,2635,2634,2633,2632,2628,2627,2626,2625,2325,2324,2323,2322,2318,2317,2316,2315,2250,2245,2244,2243,2242,2241,2191,2190,2189,2188,2044,2043,2042,2041,1964,1963,1962,1961,1957,1956,1955,1954,1910,1909,1908,1907,1883,1882,1881,1880,1876,1875,1874,1873,1857,1855,1853,1852,1850,1849,1842,1840,1836,1835,1821,1819,1817,1805,1802,1801,1797,1796,1778,1774,1769,1768,1761,1758,1728,1726,1722,1676,1675,1674,1667,1648,1646,1644,1642,1641,1612,1611,1583,1580,1554,1550,1516,1497,1458,1437,1412,1411,1410,1409,1405,1404,1403,1402,1381,1375,1374,1372,1371,1370,1367,1347,1324,1306,1304,1298,1295,1287,1286,1280,1263,1255,1252,1248,1243,1240,1190,1175,1174,1165,1149,1148,1147,1131,1130,1129,1120,1118,1117,1109,1108,1107,1081,1077,1060,1054,1045,1031,1030,1000,998,997,982,981,980,979,968,967,948,889,888,876,871,860,843,842,841,840,829,828,820,805,777,739,738,737,724,685,677,669,654,641,637,631,626,612,600,586,566,551,539,533,525,501,500,497,478,476,475,474,469,465,444,398,380,375,374,356,321,315,258,245,229,215]) ).
thf(3783,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3782]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU557^1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.20 % Computer : n007.cluster.edu
% 0.12/0.20 % Model : x86_64 x86_64
% 0.12/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.20 % Memory : 8046.5625MB
% 0.12/0.20 % OS : Linux 6.8.0-71-generic
% 0.12/0.20 % CPULimit : 300
% 0.12/0.20 % WCLimit : 300
% 0.12/0.20 % DateTime : Tue Oct 6 15:26:00 UTC 2026
% 0.12/0.20 % CPUTime :
% 0.12/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 131.20/26.51
% 131.20/26.51 No.of.Axioms: 0
% 131.20/26.51
% 131.20/26.51 Length.of.Defs: 15339
% 131.20/26.51
% 131.20/26.51 Contains.Choice.Funs: true
% 131.20/26.51 ........................................................eprover: CPU time limit exceeded, terminating
% 131.20/26.51 ...............................................................................
% 131.20/26.51
% 131.20/26.51 ********************************
% 131.20/26.51 * All subproblems solved! *
% 131.20/26.51 ********************************
% 131.20/26.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:73,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3782,loop_count:0,foatp_calls:2,translation:fof_full)
% 131.20/26.51
% 131.20/26.51 %**** Beginning of derivation protocol ****
% 131.20/26.51 % SZS output start CNFRefutation
% See solution above
% 131.20/26.54
% 131.20/26.54 %**** End of derivation protocol ****
% 131.20/26.54 %**** no. of clauses in derivation: 2540 ****
% 131.20/26.54 %**** clause counter: 3782 ****
% 131.20/26.54
% 131.20/26.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:73,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3782,loop_count:0,foatp_calls:2,translation:fof_full)
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