%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU572^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:45:14 AM UTC 2026
% Result : Theorem 19.52s 3.60s
% Output : CNFRefutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 91
% Syntax : Number of formulae : 1792 ( 612 unt; 0 typ; 90 def)
% Number of atoms : 14574 (6410 equ; 0 cnn)
% Maximal formula atoms : 90 ( 8 avg)
% Number of connectives : 33320 (5850 ~;5976 |; 255 &;20494 @)
% ( 42 <=>; 703 =>; 0 <=; 0 <~>)
% Maximal formula depth : 96 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1403 (1403 >; 0 *; 0 +; 0 <<)
% Number of symbols : 169 ( 166 usr; 95 con; 0-4 aty)
% Number of variables : 6512 ( 444 ^;5958 !; 110 ?;6512 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_descr,type,
descr: ( $i > $o ) > $i ).
thf(tp_descr__Cong,type,
descr__Cong: $o ).
thf(tp_descrp,type,
descrp: $o ).
thf(tp_disjoint,type,
disjoint: $i > $i > $o ).
thf(tp_dsetconstr,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(tp_dsetconstrEL,type,
dsetconstrEL: $o ).
thf(tp_dsetconstrER,type,
dsetconstrER: $o ).
thf(tp_dsetconstrI,type,
dsetconstrI: $o ).
thf(tp_dsetconstr__Cong,type,
dsetconstr__Cong: $o ).
thf(tp_emptyE1,type,
emptyE1: $o ).
thf(tp_emptyI,type,
emptyI: $o ).
thf(tp_emptyInPowerset,type,
emptyInPowerset: $o ).
thf(tp_emptyinPowerset,type,
emptyinPowerset: $o ).
thf(tp_emptyinunitempty,type,
emptyinunitempty: $o ).
thf(tp_emptyset,type,
emptyset: $i ).
thf(tp_emptysetAx,type,
emptysetAx: $o ).
thf(tp_emptysetE,type,
emptysetE: $o ).
thf(tp_emptyset__Cong,type,
emptyset__Cong: $o ).
thf(tp_emptysetimpfalse,type,
emptysetimpfalse: $o ).
thf(tp_emptysetsubset,type,
emptysetsubset: $o ).
thf(tp_eqimpsubset1,type,
eqimpsubset1: $o ).
thf(tp_eqimpsubset2,type,
eqimpsubset2: $o ).
thf(tp_eqinunit,type,
eqinunit: $o ).
thf(tp_exu,type,
exu: ( $i > $o ) > $o ).
thf(tp_exuE1,type,
exuE1: $o ).
thf(tp_exuE2,type,
exuE2: $o ).
thf(tp_exuE3e,type,
exuE3e: $o ).
thf(tp_exuE3u,type,
exuE3u: $o ).
thf(tp_exuEu,type,
exuEu: $o ).
thf(tp_exuI1,type,
exuI1: $o ).
thf(tp_exuI2,type,
exuI2: $o ).
thf(tp_exuI3,type,
exuI3: $o ).
thf(tp_exu__Cong,type,
exu__Cong: $o ).
thf(tp_foundationAx,type,
foundationAx: $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_inCongP,type,
inCongP: $o ).
thf(tp_in__Cong,type,
in__Cong: $o ).
thf(tp_noeltsimpempty,type,
noeltsimpempty: $o ).
thf(tp_nonempty,type,
nonempty: $i > $o ).
thf(tp_nonemptyE1,type,
nonemptyE1: $o ).
thf(tp_nonemptyI,type,
nonemptyI: $o ).
thf(tp_nonemptyI1,type,
nonemptyI1: $o ).
thf(tp_nonemptyImpWitness,type,
nonemptyImpWitness: $o ).
thf(tp_notdallE,type,
notdallE: $o ).
thf(tp_notdexE,type,
notdexE: $o ).
thf(tp_notequalI1,type,
notequalI1: $o ).
thf(tp_notequalI2,type,
notequalI2: $o ).
thf(tp_notinemptyset,type,
notinemptyset: $o ).
thf(tp_notinsingleton,type,
notinsingleton: $o ).
thf(tp_notsubsetI,type,
notsubsetI: $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_SY22,type,
sK10_SY22: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK11_SY597,type,
sK11_SY597: $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK12_B,type,
sK12_B: $i > $i ).
thf(tp_sK13_B,type,
sK13_B: $i > $i ).
thf(tp_sK14_SY615,type,
sK14_SY615: $i > $i > $i > $i ).
thf(tp_sK15_SY602,type,
sK15_SY602: $i > $i > $i ).
thf(tp_sK16_SY616,type,
sK16_SY616: $i > $i > $i ).
thf(tp_sK17_Xx,type,
sK17_Xx: $i > $i > $i ).
thf(tp_sK18_SY55,type,
sK18_SY55: $i > ( $i > $o ) > $i ).
thf(tp_sK19_Xx,type,
sK19_Xx: ( $i > $o ) > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK20_SY72,type,
sK20_SY72: $i > ( $i > $o ) > $i ).
thf(tp_sK21_Xx,type,
sK21_Xx: ( $i > $o ) > $i ).
thf(tp_sK22_SY84,type,
sK22_SY84: $i > ( $i > $o ) > $i ).
thf(tp_sK23_Xx,type,
sK23_Xx: $i > $i > $i ).
thf(tp_sK24_Xx,type,
sK24_Xx: $i > $i > $i ).
thf(tp_sK25_Xx,type,
sK25_Xx: $i > $i ).
thf(tp_sK26_Xx,type,
sK26_Xx: $i > $i ).
thf(tp_sK27_Xx,type,
sK27_Xx: $i > $i ).
thf(tp_sK28_Xx,type,
sK28_Xx: $i > $i > $i ).
thf(tp_sK29_B,type,
sK29_B: $o > $i > $i > $i ).
thf(tp_sK2_SY589,type,
sK2_SY589: $i ).
thf(tp_sK30_Xx,type,
sK30_Xx: ( $i > $o ) > $i ).
thf(tp_sK31_SY140,type,
sK31_SY140: $i > ( $i > $o ) > $i ).
thf(tp_sK32_Xx,type,
sK32_Xx: $i > $i ).
thf(tp_sK33_Xx,type,
sK33_Xx: ( $i > $o ) > $i > $i ).
thf(tp_sK34_Xx,type,
sK34_Xx: ( $i > $o ) > $i > $i ).
thf(tp_sK35_Xx,type,
sK35_Xx: ( $i > $o ) > $i > $i ).
thf(tp_sK36_Xx,type,
sK36_Xx: ( $i > $o ) > $i > $i ).
thf(tp_sK37_Xx,type,
sK37_Xx: ( $i > $o ) > $i > $i ).
thf(tp_sK38_Xx,type,
sK38_Xx: ( $i > $o ) > $i > $i ).
thf(tp_sK39_SY196,type,
sK39_SY196: ( $i > $o ) > $i ).
thf(tp_sK3_SY591,type,
sK3_SY591: $i ).
thf(tp_sK40_Xy,type,
sK40_Xy: $i > ( $i > $o ) > $i ).
thf(tp_sK41_SY203,type,
sK41_SY203: ( $i > $o ) > $i ).
thf(tp_sK42_Xx,type,
sK42_Xx: ( $i > $o ) > $i ).
thf(tp_sK43_SY628,type,
sK43_SY628: ( $i > $o ) > $i ).
thf(tp_sK44_SY209,type,
sK44_SY209: ( $i > $o ) > $i ).
thf(tp_sK45_Xy,type,
sK45_Xy: $i > ( $i > $o ) > $i ).
thf(tp_sK46_SY222,type,
sK46_SY222: $i > ( $i > $o ) > $i ).
thf(tp_sK47_SY230,type,
sK47_SY230: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK48_SY234,type,
sK48_SY234: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK49_Xx,type,
sK49_Xx: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK4_Xx,type,
sK4_Xx: $i > $i > $i ).
thf(tp_sK50_SY631,type,
sK50_SY631: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK51_SY233,type,
sK51_SY233: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK52_SY231,type,
sK52_SY231: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK53_Xx,type,
sK53_Xx: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK54_SY633,type,
sK54_SY633: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK55_SY246,type,
sK55_SY246: $i > ( $i > $o ) > $i ).
thf(tp_sK56_SY258,type,
sK56_SY258: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK57_SY255,type,
sK57_SY255: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK58_Xx,type,
sK58_Xx: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK59_SY634,type,
sK59_SY634: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK5_Xx,type,
sK5_Xx: $i > $i > $i ).
thf(tp_sK60_Xx,type,
sK60_Xx: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(tp_sK61_SY635,type,
sK61_SY635: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(tp_sK62_Xx,type,
sK62_Xx: $i > $i > $i ).
thf(tp_sK63_Xx,type,
sK63_Xx: $i > $i > $i ).
thf(tp_sK6_B,type,
sK6_B: $i > $i > $i ).
thf(tp_sK7_Xx,type,
sK7_Xx: $i > $i ).
thf(tp_sK8_B,type,
sK8_B: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK9_Xy,type,
sK9_Xy: $i > $i > ( $i > $i > $o ) > $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_setadjoinSub,type,
setadjoinSub: $o ).
thf(tp_setadjoin__Cong,type,
setadjoin__Cong: $o ).
thf(tp_setbeta,type,
setbeta: $o ).
thf(tp_setext,type,
setext: $o ).
thf(tp_setextAx,type,
setextAx: $o ).
thf(tp_setoftrueEq,type,
setoftrueEq: $o ).
thf(tp_setsmeet,type,
setsmeet: $i > $i > $o ).
thf(tp_setunion,type,
setunion: $i > $i ).
thf(tp_setunionAx,type,
setunionAx: $o ).
thf(tp_setunionE,type,
setunionE: $o ).
thf(tp_setunionI,type,
setunionI: $o ).
thf(tp_setunion__Cong,type,
setunion__Cong: $o ).
thf(tp_singletonsswitch,type,
singletonsswitch: $o ).
thf(tp_subPowSU,type,
subPowSU: $o ).
thf(tp_subset,type,
subset: $i > $i > $o ).
thf(tp_subsetE,type,
subsetE: $o ).
thf(tp_subsetE2,type,
subsetE2: $o ).
thf(tp_subsetI1,type,
subsetI1: $o ).
thf(tp_subsetI2,type,
subsetI2: $o ).
thf(tp_subsetRefl,type,
subsetRefl: $o ).
thf(tp_subsetTrans,type,
subsetTrans: $o ).
thf(tp_uniqinunit,type,
uniqinunit: $o ).
thf(tp_upairsetE,type,
upairsetE: $o ).
thf(tp_upairsetIL,type,
upairsetIL: $o ).
thf(tp_upairsetIR,type,
upairsetIR: $o ).
thf(tp_vacuousDall,type,
vacuousDall: $o ).
thf(tp_wellorderingAx,type,
wellorderingAx: $o ).
thf(descr__Cong,definition,
( descr__Cong
= ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( Xphi @ Xx )
<=> ( Xpsi @ Xy ) ) )
=> ( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ( ( exu
@ ^ [Xx: $i] : ( Xpsi @ Xx ) )
=> ( ( descr
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= ( descr
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',descr__Cong) ).
thf(descrp,definition,
( descrp
= ( ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ( Xphi
@ ( descr
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ),
file('/export/starexec/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(dsetconstr__Cong,definition,
( dsetconstr__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xphi: $i > $o,Xpsi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( Xx = Xy )
=> ( ( Xphi @ Xx )
<=> ( Xpsi @ Xy ) ) ) ) )
=> ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= ( dsetconstr @ B
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstr__Cong) ).
thf(emptyE1,definition,
( emptyE1
= ( ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ( ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= emptyset )
=> $false ) ) ) ),
file('/export/starexec/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(emptysetsubset,definition,
( emptysetsubset
= ( ! [A: $i] : ( subset @ emptyset @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetsubset) ).
thf(eqimpsubset1,definition,
( eqimpsubset1
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eqimpsubset1) ).
thf(eqimpsubset2,definition,
( eqimpsubset2
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ B @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eqimpsubset2) ).
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(notequalI1,definition,
( notequalI1
= ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
=> ( A != B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notequalI1) ).
thf(notequalI2,definition,
( notequalI2
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ( A != B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notequalI2) ).
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(notsubsetI,definition,
( notsubsetI
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ~ ( subset @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notsubsetI) ).
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(setadjoinSub,definition,
( setadjoinSub
= ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinSub) ).
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(subsetE,definition,
( subsetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetE) ).
thf(subsetE2,definition,
( subsetE2
= ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ~ ( in @ Xx @ B )
=> ~ ( in @ Xx @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetE2) ).
thf(subsetI1,definition,
( subsetI1
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetI1) ).
thf(subsetI2,definition,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetI2) ).
thf(subsetRefl,definition,
( subsetRefl
= ( ! [A: $i] : ( subset @ A @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetRefl) ).
thf(subsetTrans,definition,
( subsetTrans
= ( ! [A: $i,B: $i,C: $i] :
( ( subset @ A @ B )
=> ( ( subset @ B @ C )
=> ( subset @ A @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetTrans) ).
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
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ! [A: $i,Xx: $i,B: $i] :
( ( subset @ A @ B )
=> ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinSub2) ).
thf(2,negated_conjecture,
( ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ! [A: $i,Xx: $i,B: $i] :
( ( subset @ A @ B )
=> ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
<=> ( in @ Xx @ B ) )
=> ( A = B ) )
=> ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset )
=> ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
<=> ( ( Xy = Xx )
| ( in @ Xy @ A ) ) )
=> ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
<=> ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) )
=> ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
<=> ? [B: $i] :
( ( in @ Xx @ B )
& ( in @ B @ A ) ) )
=> ( ( in @ emptyset @ omega )
=> ( ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) )
=> ( ! [A: $i] :
( ( ( in @ emptyset @ A )
& ! [Xx: $i] :
( ( ( in @ Xx @ omega )
& ( in @ Xx @ A ) )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
=> ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ Xx @ A ) ) )
=> ( ! [SY20: $i > $i > $o,SY21: $i] :
( ! [SY22: $i] :
( ( in @ SY22 @ SY21 )
=> ? [SY24: $i] :
( ( SY20 @ SY22 @ SY24 )
& ! [SY25: $i] :
( ( SY20 @ SY22 @ SY25 )
=> ( SY24 = SY25 ) ) ) )
=> ? [B: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
<=> ? [Xy: $i] :
( ( in @ Xy @ SY21 )
& ( SY20 @ Xy @ Xx ) ) ) )
=> ( ! [A: $i] :
( ? [Xx: $i] : ( in @ Xx @ A )
=> ? [B: $i] :
( ( in @ B @ A )
& ~ ? [Xx: $i] :
( ( in @ Xx @ B )
& ( in @ Xx @ A ) ) ) )
=> ( ! [A: $i] :
? [B: $i] :
( ! [C: $i] :
( ( in @ C @ B )
=> ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ A ) ) )
& ! [Xx: $i,Xy: $i] :
( ( ( in @ Xx @ A )
& ( in @ Xy @ A ) )
=> ( ! [C: $i] :
( ( in @ C @ B )
=> ( ( in @ Xx @ C )
<=> ( in @ Xy @ C ) ) )
=> ( Xx = Xy ) ) )
& ! [C: $i,D: $i] :
( ( ( in @ C @ B )
& ( in @ D @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ D ) )
| ! [Xx: $i] :
( ( in @ Xx @ D )
=> ( in @ Xx @ C ) ) ) )
& ! [C: $i] :
( ( ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ A ) )
& ? [Xx: $i] : ( in @ Xx @ C ) )
=> ? [D: $i,Xx: $i] :
( ( in @ D @ B )
& ( in @ Xx @ C )
& ~ ? [Xy: $i] :
( ( in @ Xy @ D )
& ( in @ Xy @ C ) )
& ! [E: $i] :
( ( in @ E @ B )
=> ( ! [Xy: $i] :
( ( in @ Xy @ E )
=> ( in @ Xy @ D ) )
| ( in @ Xx @ E ) ) ) ) ) )
=> ( ! [SY52: $i > $o] :
( ? [SY54: $i] :
( ( SY52 @ SY54 )
& ! [SY55: $i] :
( ( SY52 @ SY55 )
=> ( SY54 = SY55 ) ) )
=> ( SY52
@ ( descr
@ ^ [Xx: $i] : ( SY52 @ Xx ) ) ) )
=> ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) )
=> ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) )
=> ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) )
=> ( ! [SY69: $i > $o] :
( ? [SY71: $i] :
( ( SY69 @ SY71 )
& ! [SY72: $i] :
( ( SY69 @ SY72 )
=> ( SY71 = SY72 ) ) )
=> ? [Xx: $i] :
( ( SY69 @ Xx )
& ! [Xy: $i] :
( ( SY69 @ Xy )
=> ( Xx = Xy ) ) ) )
=> ( ! [Xphi: $o,Xx: $i] :
( ( in @ Xx @ ( prop2set @ Xphi ) )
=> Xphi )
=> ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi )
=> ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> $false )
=> ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset )
=> ( ! [SY81: $i > $o] :
( ? [SY83: $i] :
( ( SY81 @ SY83 )
& ! [SY84: $i] :
( ( SY81 @ SY84 )
=> ( SY83 = SY84 ) ) )
=> ? [Xx: $i] : ( SY81 @ Xx ) )
=> ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( A = B ) ) )
=> ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) )
=> ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) )
=> ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) )
=> ( ! [SY98: $i] :
( ( SY98 != emptyset )
=> ? [Xx: $i] : ( in @ Xx @ SY98 ) )
=> ( ! [SY100: $i,SY101: $i > $o,SY102: $i] :
( ( in @ SY102 @ SY100 )
=> ( ( SY101 @ SY102 )
=> ( ( dsetconstr @ SY100
@ ^ [Xy: $i] : ( SY101 @ Xy ) )
!= emptyset ) ) )
=> ( ! [SY104: $i] :
( ? [Xx: $i] : ( in @ Xx @ SY104 )
=> ( SY104 != emptyset ) )
=> ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) )
=> ( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
=> ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ A )
=> ( in @ Xy @ ( setadjoin @ Xx @ A ) ) )
=> ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ! [Xphi: $o] :
( ( ( Xy = Xx )
=> Xphi )
=> ( ( ( in @ Xy @ A )
=> Xphi )
=> Xphi ) ) )
=> ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ( ( Xy = Xx )
| ( in @ Xy @ A ) ) )
=> ( ! [A: $i] :
( ( dsetconstr @ A
@ ^ [Xx: $i] : $true )
= A )
=> ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) )
=> ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) )
=> ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) )
=> ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) )
=> ( ! [A: $i,Xx: $i,B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> ( in @ Xx @ ( setunion @ A ) ) ) )
=> ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ! [Xphi: $o] :
( ! [B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> Xphi ) )
=> Xphi ) )
=> ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) )
=> ( ! [SY137: $i > $o] :
( ? [SY139: $i] :
( ( SY137 @ SY139 )
& ! [SY140: $i] :
( ( SY137 @ SY140 )
=> ( SY139 = SY140 ) ) )
=> ? [Xx: $i] :
! [Xy: $i] :
( ( SY137 @ Xy )
<=> ( Xy = Xx ) ) )
=> ( ! [SY143: $i] :
( ( SY143 != emptyset )
=> ? [Xx: $i] :
( ( in @ Xx @ SY143 )
& $true ) )
=> ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) )
=> ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
=> ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) )
=> ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) )
=> ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ( Xz = Xx )
| ( Xz = Xy ) ) )
=> ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ( ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= emptyset )
=> $false ) )
=> ( ! [Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ emptyset )
=> ( Xphi @ Xx ) )
=> ( ! [A: $i,Xphi: $i > $o] :
( ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) ) )
=> ( ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) )
=> ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) ) )
=> ( ! [A: $i,Xphi: $i > $o] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) ) )
=> ( ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) )
=> ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) ) )
=> ( ! [Xphi: $o] :
( Xphi
=> ( in @ emptyset @ ( prop2set @ Xphi ) ) )
=> ( ! [Xphi: $o] :
( Xphi
=> ( set2prop @ ( prop2set @ Xphi ) ) )
=> ( ! [A: $i,Xphi: $i > $o] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) ) )
=> ( ! [A: $i,Xphi: $i > $o] :
( ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) ) )
=> ( ! [SY192: $i > $o] :
( ? [Xx: $i] :
( ( SY192 @ Xx )
& ! [Xy: $i] :
( ( SY192 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY196: $i] :
( ( SY192 @ SY196 )
& ! [SY197: $i] :
( ( SY192 @ SY197 )
=> ( SY196 = SY197 ) ) ) )
=> ( ! [SY198: $i > $o] :
( ? [Xx: $i] : ( SY198 @ Xx )
=> ( ! [Xx: $i,Xy: $i] :
( ( SY198 @ Xx )
=> ( ( SY198 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY203: $i] :
( ( SY198 @ SY203 )
& ! [SY204: $i] :
( ( SY198 @ SY204 )
=> ( SY203 = SY204 ) ) ) ) )
=> ( ! [SY205: $i > $o] :
( ? [Xx: $i] :
! [Xy: $i] :
( ( SY205 @ Xy )
<=> ( Xy = Xx ) )
=> ? [SY209: $i] :
( ( SY205 @ SY209 )
& ! [SY210: $i] :
( ( SY205 @ SY210 )
=> ( SY209 = SY210 ) ) ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
=> ( in @ Xy @ B ) ) ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) )
=> ( ! [SY219: $i > $o] :
( ? [SY221: $i] :
( ( SY219 @ SY221 )
& ! [SY222: $i] :
( ( SY219 @ SY222 )
=> ( SY221 = SY222 ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( SY219 @ Xx )
=> ( ( SY219 @ Xy )
=> ( Xx = Xy ) ) ) )
=> ( ! [SY225: $i > $o,SY226: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( SY225 @ Xx )
<=> ( SY226 @ Xy ) ) )
=> ( ? [SY230: $i] :
( ( SY225 @ SY230 )
& ! [SY231: $i] :
( ( SY225 @ SY231 )
=> ( SY230 = SY231 ) ) )
<=> ? [SY233: $i] :
( ( SY226 @ SY233 )
& ! [SY234: $i] :
( ( SY226 @ SY234 )
=> ( SY233 = SY234 ) ) ) ) )
=> ( ( emptyset = emptyset )
=> ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ! [Xz: $i,Xu: $i] :
( ( Xz = Xu )
=> ( ( setadjoin @ Xx @ Xz )
= ( setadjoin @ Xy @ Xu ) ) ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( powerset @ A )
= ( powerset @ B ) ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( setunion @ A )
= ( setunion @ B ) ) )
=> ( ( omega = omega )
=> ( ! [SY243: $i > $o] :
( ? [SY245: $i] :
( ( SY243 @ SY245 )
& ! [SY246: $i] :
( ( SY243 @ SY246 )
=> ( SY245 = SY246 ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( SY243 @ Xx )
=> ( ( SY243 @ Xy )
=> ( Xx = Xy ) ) ) )
=> ( ! [SY249: $i > $o,SY250: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( SY249 @ Xx )
<=> ( SY250 @ Xy ) ) )
=> ( ? [SY254: $i] :
( ( SY249 @ SY254 )
& ! [SY255: $i] :
( ( SY249 @ SY255 )
=> ( SY254 = SY255 ) ) )
=> ( ? [SY257: $i] :
( ( SY250 @ SY257 )
& ! [SY258: $i] :
( ( SY250 @ SY258 )
=> ( SY257 = SY258 ) ) )
=> ( ( descr
@ ^ [Xx: $i] : ( SY249 @ Xx ) )
= ( descr
@ ^ [Xx: $i] : ( SY250 @ Xx ) ) ) ) ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xphi: $i > $o,Xpsi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( Xx = Xy )
=> ( ( Xphi @ Xx )
<=> ( Xpsi @ Xy ) ) ) ) )
=> ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= ( dsetconstr @ B
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) )
=> ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ B @ A ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ A @ B ) )
=> ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) )
=> ( ! [A: $i] : ( subset @ emptyset @ A )
=> ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) )
=> ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ~ ( in @ Xx @ B )
=> ~ ( in @ Xx @ A ) ) )
=> ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ~ ( subset @ A @ B ) ) )
=> ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
=> ( A != B ) )
=> ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ( A != B ) ) )
=> ( ! [A: $i] : ( subset @ A @ A )
=> ( ! [A: $i,B: $i,C: $i] :
( ( subset @ A @ B )
=> ( ( subset @ B @ C )
=> ( subset @ A @ C ) ) )
=> ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) )
=> ! [A: $i,Xx: $i,B: $i] :
( ( subset @ A @ B )
=> ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(4,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
<=> ( in @ Xx @ B ) )
=> ( A = B ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
<=> ( ( Xy = Xx )
| ( in @ Xy @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
<=> ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
<=> ? [B: $i] :
( ( in @ Xx @ B )
& ( in @ B @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( in @ emptyset @ omega )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(10,plain,
( ( ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(11,plain,
( ( ! [A: $i] :
( ( ( in @ emptyset @ A )
& ! [Xx: $i] :
( ( ( in @ Xx @ omega )
& ( in @ Xx @ A ) )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
=> ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ Xx @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(12,plain,
( ( ! [SY20: $i > $i > $o,SY21: $i] :
( ! [SY22: $i] :
( ( in @ SY22 @ SY21 )
=> ? [SY24: $i] :
( ( SY20 @ SY22 @ SY24 )
& ! [SY25: $i] :
( ( SY20 @ SY22 @ SY25 )
=> ( SY24 = SY25 ) ) ) )
=> ? [B: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
<=> ? [Xy: $i] :
( ( in @ Xy @ SY21 )
& ( SY20 @ Xy @ Xx ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(13,plain,
( ( ! [A: $i] :
( ? [Xx: $i] : ( in @ Xx @ A )
=> ? [B: $i] :
( ( in @ B @ A )
& ~ ? [Xx: $i] :
( ( in @ Xx @ B )
& ( in @ Xx @ A ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(14,plain,
( ( ! [A: $i] :
? [B: $i] :
( ! [C: $i] :
( ( in @ C @ B )
=> ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ A ) ) )
& ! [Xx: $i,Xy: $i] :
( ( ( in @ Xx @ A )
& ( in @ Xy @ A ) )
=> ( ! [C: $i] :
( ( in @ C @ B )
=> ( ( in @ Xx @ C )
<=> ( in @ Xy @ C ) ) )
=> ( Xx = Xy ) ) )
& ! [C: $i,D: $i] :
( ( ( in @ C @ B )
& ( in @ D @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ D ) )
| ! [Xx: $i] :
( ( in @ Xx @ D )
=> ( in @ Xx @ C ) ) ) )
& ! [C: $i] :
( ( ! [Xx: $i] :
( ( in @ Xx @ C )
=> ( in @ Xx @ A ) )
& ? [Xx: $i] : ( in @ Xx @ C ) )
=> ? [D: $i,Xx: $i] :
( ( in @ D @ B )
& ( in @ Xx @ C )
& ~ ? [Xy: $i] :
( ( in @ Xy @ D )
& ( in @ Xy @ C ) )
& ! [E: $i] :
( ( in @ E @ B )
=> ( ! [Xy: $i] :
( ( in @ Xy @ E )
=> ( in @ Xy @ D ) )
| ( in @ Xx @ E ) ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(15,plain,
( ( ! [SY52: $i > $o] :
( ? [SY54: $i] :
( ( SY52 @ SY54 )
& ! [SY55: $i] :
( ( SY52 @ SY55 )
=> ( SY54 = SY55 ) ) )
=> ( SY52
@ ( descr
@ ^ [Xx: $i] : ( SY52 @ Xx ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(16,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(17,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(18,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(19,plain,
( ( ! [SY69: $i > $o] :
( ? [SY71: $i] :
( ( SY69 @ SY71 )
& ! [SY72: $i] :
( ( SY69 @ SY72 )
=> ( SY71 = SY72 ) ) )
=> ? [Xx: $i] :
( ( SY69 @ Xx )
& ! [Xy: $i] :
( ( SY69 @ Xy )
=> ( Xx = Xy ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(20,plain,
( ( ! [Xphi: $o,Xx: $i] :
( ( in @ Xx @ ( prop2set @ Xphi ) )
=> Xphi ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(21,plain,
( ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(22,plain,
( ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> $false ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(23,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(24,plain,
( ( ! [SY81: $i > $o] :
( ? [SY83: $i] :
( ( SY81 @ SY83 )
& ! [SY84: $i] :
( ( SY81 @ SY84 )
=> ( SY83 = SY84 ) ) )
=> ? [Xx: $i] : ( SY81 @ Xx ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(25,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( A = B ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(26,plain,
( ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(27,plain,
( ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
=> ( A = emptyset ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(28,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(29,plain,
( ( ! [SY98: $i] :
( ( SY98 != emptyset )
=> ? [Xx: $i] : ( in @ Xx @ SY98 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(30,plain,
( ( ! [SY100: $i,SY101: $i > $o,SY102: $i] :
( ( in @ SY102 @ SY100 )
=> ( ( SY101 @ SY102 )
=> ( ( dsetconstr @ SY100
@ ^ [Xy: $i] : ( SY101 @ Xy ) )
!= emptyset ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(31,plain,
( ( ! [SY104: $i] :
( ? [Xx: $i] : ( in @ Xx @ SY104 )
=> ( SY104 != emptyset ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(32,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(33,plain,
( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(34,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ A )
=> ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(35,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ! [Xphi: $o] :
( ( ( Xy = Xx )
=> Xphi )
=> ( ( ( in @ Xy @ A )
=> Xphi )
=> Xphi ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(36,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ( ( Xy = Xx )
| ( in @ Xy @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(37,plain,
( ( ! [A: $i] :
( ( dsetconstr @ A
@ ^ [Xx: $i] : $true )
= A ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(38,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(39,plain,
( ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(40,plain,
( ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(41,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(42,plain,
( ( ! [A: $i,Xx: $i,B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> ( in @ Xx @ ( setunion @ A ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(43,plain,
( ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ! [Xphi: $o] :
( ! [B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> Xphi ) )
=> Xphi ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(44,plain,
( ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(45,plain,
( ( ! [SY137: $i > $o] :
( ? [SY139: $i] :
( ( SY137 @ SY139 )
& ! [SY140: $i] :
( ( SY137 @ SY140 )
=> ( SY139 = SY140 ) ) )
=> ? [Xx: $i] :
! [Xy: $i] :
( ( SY137 @ Xy )
<=> ( Xy = Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(46,plain,
( ( ! [SY143: $i] :
( ( SY143 != emptyset )
=> ? [Xx: $i] :
( ( in @ Xx @ SY143 )
& $true ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(47,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(48,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
=> ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(49,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(50,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(51,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ( Xz = Xx )
| ( Xz = Xy ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(52,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(53,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(54,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ( ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= emptyset )
=> $false ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(55,plain,
( ( ! [Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ emptyset )
=> ( Xphi @ Xx ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(56,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(57,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) )
=> ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(58,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(59,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) )
=> ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(60,plain,
( ( ! [Xphi: $o] :
( Xphi
=> ( in @ emptyset @ ( prop2set @ Xphi ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(61,plain,
( ( ! [Xphi: $o] :
( Xphi
=> ( set2prop @ ( prop2set @ Xphi ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(62,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(63,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(64,plain,
( ( ! [SY192: $i > $o] :
( ? [Xx: $i] :
( ( SY192 @ Xx )
& ! [Xy: $i] :
( ( SY192 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY196: $i] :
( ( SY192 @ SY196 )
& ! [SY197: $i] :
( ( SY192 @ SY197 )
=> ( SY196 = SY197 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(65,plain,
( ( ! [SY198: $i > $o] :
( ? [Xx: $i] : ( SY198 @ Xx )
=> ( ! [Xx: $i,Xy: $i] :
( ( SY198 @ Xx )
=> ( ( SY198 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY203: $i] :
( ( SY198 @ SY203 )
& ! [SY204: $i] :
( ( SY198 @ SY204 )
=> ( SY203 = SY204 ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(66,plain,
( ( ! [SY205: $i > $o] :
( ? [Xx: $i] :
! [Xy: $i] :
( ( SY205 @ Xy )
<=> ( Xy = Xx ) )
=> ? [SY209: $i] :
( ( SY205 @ SY209 )
& ! [SY210: $i] :
( ( SY205 @ SY210 )
=> ( SY209 = SY210 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(67,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
=> ( in @ Xy @ B ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(68,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(69,plain,
( ( ! [SY219: $i > $o] :
( ? [SY221: $i] :
( ( SY219 @ SY221 )
& ! [SY222: $i] :
( ( SY219 @ SY222 )
=> ( SY221 = SY222 ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( SY219 @ Xx )
=> ( ( SY219 @ Xy )
=> ( Xx = Xy ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(70,plain,
( ( ! [SY225: $i > $o,SY226: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( SY225 @ Xx )
<=> ( SY226 @ Xy ) ) )
=> ( ? [SY230: $i] :
( ( SY225 @ SY230 )
& ! [SY231: $i] :
( ( SY225 @ SY231 )
=> ( SY230 = SY231 ) ) )
<=> ? [SY233: $i] :
( ( SY226 @ SY233 )
& ! [SY234: $i] :
( ( SY226 @ SY234 )
=> ( SY233 = SY234 ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(71,plain,
( ( emptyset = emptyset )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(72,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ! [Xz: $i,Xu: $i] :
( ( Xz = Xu )
=> ( ( setadjoin @ Xx @ Xz )
= ( setadjoin @ Xy @ Xu ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( powerset @ A )
= ( powerset @ B ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(74,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( setunion @ A )
= ( setunion @ B ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(75,plain,
( ( omega = omega )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(76,plain,
( ( ! [SY243: $i > $o] :
( ? [SY245: $i] :
( ( SY243 @ SY245 )
& ! [SY246: $i] :
( ( SY243 @ SY246 )
=> ( SY245 = SY246 ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( SY243 @ Xx )
=> ( ( SY243 @ Xy )
=> ( Xx = Xy ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(77,plain,
( ( ! [SY249: $i > $o,SY250: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( SY249 @ Xx )
<=> ( SY250 @ Xy ) ) )
=> ( ? [SY254: $i] :
( ( SY249 @ SY254 )
& ! [SY255: $i] :
( ( SY249 @ SY255 )
=> ( SY254 = SY255 ) ) )
=> ( ? [SY257: $i] :
( ( SY250 @ SY257 )
& ! [SY258: $i] :
( ( SY250 @ SY258 )
=> ( SY257 = SY258 ) ) )
=> ( ( descr
@ ^ [Xx: $i] : ( SY249 @ Xx ) )
= ( descr
@ ^ [Xx: $i] : ( SY250 @ Xx ) ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(78,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xphi: $i > $o,Xpsi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( Xx = Xy )
=> ( ( Xphi @ Xx )
<=> ( Xpsi @ Xy ) ) ) ) )
=> ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= ( dsetconstr @ B
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(79,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(80,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ B @ A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(81,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ( subset @ A @ B ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(83,plain,
( ( ! [A: $i] : ( subset @ emptyset @ A ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(84,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(85,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ~ ( in @ Xx @ B )
=> ~ ( in @ Xx @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(86,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ~ ( subset @ A @ B ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(87,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
=> ( A != B ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(88,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ( A != B ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(89,plain,
( ( ! [A: $i] : ( subset @ A @ A ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(90,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( subset @ A @ B )
=> ( ( subset @ B @ C )
=> ( subset @ A @ C ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(91,plain,
( ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(92,plain,
( ( ! [A: $i,Xx: $i,B: $i] :
( ( subset @ A @ B )
=> ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(93,plain,
( ( ~ ! [A: $i,Xx: $i,B: $i] :
( ( subset @ A @ B )
=> ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[92]) ).
thf(94,plain,
( ( ( subset @ sK1_A @ sK3_SY591 )
& ~ ( subset @ sK1_A @ ( setadjoin @ sK2_SY589 @ sK3_SY591 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(95,plain,
( ( ! [A: $i,B: $i] :
( ( ( ~ ( in @ ( sK4_Xx @ B @ A ) @ A )
| ~ ( in @ ( sK4_Xx @ B @ A ) @ B ) )
& ( ( in @ ( sK4_Xx @ B @ A ) @ A )
| ( in @ ( sK4_Xx @ B @ A ) @ B ) ) )
| ( A = B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(96,plain,
( ( ! [Xx: $i] :
( ! [A: $i,Xy: $i] :
( ~ ( in @ Xy @ ( setadjoin @ Xx @ A ) )
| ( Xy = Xx )
| ( in @ Xy @ A ) )
& ! [A: $i,Xy: $i] :
( ( Xy != Xx )
| ( in @ Xy @ ( setadjoin @ Xx @ A ) ) )
& ! [A: $i,Xy: $i] :
( ~ ( in @ Xy @ A )
| ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(97,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK5_Xx @ B @ A ) @ B )
& ~ ( in @ ( sK5_Xx @ B @ A ) @ A ) )
| ( in @ B @ ( powerset @ A ) ) )
& ! [A: $i,B: $i] :
( ~ ( in @ B @ ( powerset @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ B )
| ( in @ Xx @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(98,plain,
( ( ! [A: $i,Xx: $i] :
( ! [B: $i] :
( ~ ( in @ Xx @ B )
| ~ ( in @ B @ A ) )
| ( in @ Xx @ ( setunion @ A ) ) )
& ! [A: $i,Xx: $i] :
( ~ ( in @ Xx @ ( setunion @ A ) )
| ( ( in @ Xx @ ( sK6_B @ Xx @ A ) )
& ( in @ ( sK6_B @ Xx @ A ) @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(99,plain,
( ( ! [Xx: $i] :
( ~ ( in @ Xx @ omega )
| ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(100,plain,
( ( ! [A: $i] :
( ( ( in @ ( sK7_Xx @ A ) @ omega )
& ( in @ ( sK7_Xx @ A ) @ A )
& ~ ( in @ ( setadjoin @ ( sK7_Xx @ A ) @ ( sK7_Xx @ A ) ) @ A ) )
| ~ ( in @ emptyset @ A )
| ! [Xx: $i] :
( ~ ( in @ Xx @ omega )
| ( in @ Xx @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(101,plain,
( ( ! [SY20: $i > $i > $o,SY21: $i] :
( ( ( in @ ( sK10_SY22 @ SY21 @ SY20 ) @ SY21 )
& ! [SY596: $i] :
( ( ( SY20 @ ( sK10_SY22 @ SY21 @ SY20 ) @ ( sK11_SY597 @ SY596 @ SY21 @ SY20 ) )
& ( SY596
!= ( sK11_SY597 @ SY596 @ SY21 @ SY20 ) ) )
| ~ ( SY20 @ ( sK10_SY22 @ SY21 @ SY20 ) @ SY596 ) ) )
| ( ! [SY592: $i] :
( ! [Xy: $i] :
( ~ ( SY20 @ Xy @ SY592 )
| ~ ( in @ Xy @ SY21 ) )
| ( in @ SY592 @ ( sK8_B @ SY21 @ SY20 ) ) )
& ! [SY594: $i] :
( ~ ( in @ SY594 @ ( sK8_B @ SY21 @ SY20 ) )
| ( ( SY20 @ ( sK9_Xy @ SY594 @ SY21 @ SY20 ) @ SY594 )
& ( in @ ( sK9_Xy @ SY594 @ SY21 @ SY20 ) @ SY21 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(102,plain,
( ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
| ( ( in @ ( sK12_B @ A ) @ A )
& ! [SY598: $i] :
( ~ ( in @ SY598 @ ( sK12_B @ A ) )
| ~ ( in @ SY598 @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(103,plain,
( ( ! [A: $i] :
( ! [SY599: $i] :
( ( ( in @ ( sK17_Xx @ SY599 @ A ) @ SY599 )
& ~ ( in @ ( sK17_Xx @ SY599 @ A ) @ A ) )
| ! [Xx: $i] :
~ ( in @ Xx @ SY599 )
| ( ! [SY620: $i] :
( ~ ( in @ SY620 @ ( sK13_B @ A ) )
| ! [SY618: $i] :
( ~ ( in @ SY618 @ SY620 )
| ( in @ SY618 @ ( sK15_SY602 @ SY599 @ A ) ) )
| ( in @ ( sK16_SY616 @ SY599 @ A ) @ SY620 ) )
& ( in @ ( sK15_SY602 @ SY599 @ A ) @ ( sK13_B @ A ) )
& ( in @ ( sK16_SY616 @ SY599 @ A ) @ SY599 )
& ! [SY619: $i] :
( ~ ( in @ SY619 @ ( sK15_SY602 @ SY599 @ A ) )
| ~ ( in @ SY619 @ SY599 ) ) ) )
& ! [SY607: $i,SY608: $i] :
( ~ ( in @ SY607 @ ( sK13_B @ A ) )
| ~ ( in @ SY608 @ ( sK13_B @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ SY607 )
| ( in @ Xx @ SY608 ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ SY608 )
| ( in @ Xx @ SY607 ) ) )
& ! [SY611: $i] :
( ~ ( in @ SY611 @ ( sK13_B @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ SY611 )
| ( in @ Xx @ A ) ) )
& ! [SY613: $i,SY614: $i] :
( ~ ( in @ SY613 @ A )
| ~ ( in @ SY614 @ A )
| ( ( in @ ( sK14_SY615 @ SY614 @ SY613 @ A ) @ ( sK13_B @ A ) )
& ( ~ ( in @ SY613 @ ( sK14_SY615 @ SY614 @ SY613 @ A ) )
| ~ ( in @ SY614 @ ( sK14_SY615 @ SY614 @ SY613 @ A ) ) )
& ( ( in @ SY613 @ ( sK14_SY615 @ SY614 @ SY613 @ A ) )
| ( in @ SY614 @ ( sK14_SY615 @ SY614 @ SY613 @ A ) ) ) )
| ( SY613 = SY614 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(104,plain,
( ( ! [SY52: $i > $o] :
( ! [SY54: $i] :
( ( ( SY52 @ ( sK18_SY55 @ SY54 @ SY52 ) )
& ( SY54
!= ( sK18_SY55 @ SY54 @ SY52 ) ) )
| ~ ( SY52 @ SY54 ) )
| ( SY52
@ ( descr
@ ^ [Xx: $i] : ( SY52 @ Xx ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(105,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( Xphi @ Xx )
| ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(106,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
| ( in @ Xx @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(107,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
| ( Xphi @ Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(108,plain,
( ( ! [SY69: $i > $o] :
( ! [SY71: $i] :
( ( ( SY69 @ ( sK20_SY72 @ SY71 @ SY69 ) )
& ( SY71
!= ( sK20_SY72 @ SY71 @ SY69 ) ) )
| ~ ( SY69 @ SY71 ) )
| ( ! [SY623: $i] :
( ~ ( SY69 @ SY623 )
| ( ( sK19_Xx @ SY69 )
= SY623 ) )
& ( SY69 @ ( sK19_Xx @ SY69 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(109,plain,
( ( ! [Xphi: $o] :
( ! [Xx: $i] :
~ ( in @ Xx @ ( prop2set @ Xphi ) )
| Xphi ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(110,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset )
| ! [Xphi: $o] : Xphi )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(111,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(112,plain,
( ( ! [SY81: $i > $o] :
( ! [SY83: $i] :
( ( ( SY81 @ ( sK22_SY84 @ SY83 @ SY81 ) )
& ( SY83
!= ( sK22_SY84 @ SY83 @ SY81 ) ) )
| ~ ( SY81 @ SY83 ) )
| ( SY81 @ ( sK21_Xx @ SY81 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(113,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK24_Xx @ B @ A ) @ A )
& ~ ( in @ ( sK24_Xx @ B @ A ) @ B ) )
| ( ( in @ ( sK23_Xx @ B @ A ) @ B )
& ~ ( in @ ( sK23_Xx @ B @ A ) @ A ) )
| ( A = B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(114,plain,
( ( ! [A: $i] :
( ( in @ ( sK25_Xx @ A ) @ A )
| ( A = emptyset ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(115,plain,
( ( ! [A: $i] :
( ( in @ ( sK26_Xx @ A ) @ A )
| ( A = emptyset ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(116,plain,
( ( ! [A: $i] :
( ! [Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( Xphi @ Xx )
| ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) )
& ! [Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
| ( Xphi @ Xx ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(117,plain,
( ( ! [SY98: $i] :
( ( SY98 = emptyset )
| ( in @ ( sK27_Xx @ SY98 ) @ SY98 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(118,plain,
( ( ! [SY100: $i,SY101: $i > $o,SY102: $i] :
( ~ ( in @ SY102 @ SY100 )
| ~ ( SY101 @ SY102 )
| ( ( dsetconstr @ SY100
@ ^ [Xy: $i] : ( SY101 @ Xy ) )
!= emptyset ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(119,plain,
( ( ! [SY104: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ SY104 )
| ( SY104 != emptyset ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(120,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ~ ( in @ Xy @ A )
| ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(121,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ~ ( in @ Xy @ ( setadjoin @ Xx @ A ) )
| ( ( ( Xy = Xx )
| ( in @ Xy @ A )
| ! [Xphi: $o] : Xphi )
& ( ( Xy = Xx )
| ! [Xphi: $o] :
( ~ Xphi
| Xphi ) )
& ! [Xphi: $o] :
( ~ Xphi
| ( in @ Xy @ A )
| Xphi )
& ! [Xphi: $o] :
( ~ Xphi
| ~ Xphi
| Xphi ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(122,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ~ ( in @ Xy @ ( setadjoin @ Xx @ A ) )
| ( Xy = Xx )
| ( in @ Xy @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(123,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK28_Xx @ B @ A ) @ B )
& ~ ( in @ ( sK28_Xx @ B @ A ) @ A ) )
| ( in @ B @ ( powerset @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(124,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ B @ ( powerset @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ B )
| ( in @ Xx @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(125,plain,
( ( ! [A: $i,Xx: $i,B: $i] :
( ~ ( in @ Xx @ B )
| ~ ( in @ B @ A )
| ( in @ Xx @ ( setunion @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(126,plain,
( ( ! [A: $i,Xx: $i] :
( ~ ( in @ Xx @ ( setunion @ A ) )
| ! [Xphi: $o] :
( ( ( in @ Xx @ ( sK29_B @ Xphi @ Xx @ A ) )
& ( in @ ( sK29_B @ Xphi @ Xx @ A ) @ A )
& ~ Xphi )
| Xphi ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(127,plain,
( ( ! [A: $i,Xx: $i] :
( ~ ( in @ Xx @ A )
| ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(128,plain,
( ( ! [SY137: $i > $o] :
( ! [SY139: $i] :
( ( ( SY137 @ ( sK31_SY140 @ SY139 @ SY137 ) )
& ( SY139
!= ( sK31_SY140 @ SY139 @ SY137 ) ) )
| ~ ( SY137 @ SY139 ) )
| ( ! [SY624: $i] :
( ( SY624
!= ( sK30_Xx @ SY137 ) )
| ( SY137 @ SY624 ) )
& ! [SY625: $i] :
( ~ ( SY137 @ SY625 )
| ( SY625
= ( sK30_Xx @ SY137 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(129,plain,
( ( ! [SY143: $i] :
( ( SY143 = emptyset )
| ( in @ ( sK32_Xx @ SY143 ) @ SY143 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(130,plain,
( ( ! [Xx: $i,Xy: $i] :
( ~ ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
| ( Xx = Xy ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(131,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
| ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(132,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(133,plain,
( ( ! [Xx: $i,Xy: $i] :
( ~ ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
| ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(134,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ~ ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
| ( Xz = Xx )
| ( Xz = Xy ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(135,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ~ ( Xphi @ Xx )
| ~ ( in @ Xx @ A ) )
| ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
!= emptyset ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(136,plain,
( ( ! [Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx @ emptyset )
| ( Xphi @ Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(137,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ~ ( in @ Xx @ A )
| ( Xphi @ Xx ) )
| ( ( in @ ( sK33_Xx @ Xphi @ A ) @ A )
& ~ ( Xphi @ ( sK33_Xx @ Xphi @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(138,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ( ( in @ ( sK34_Xx @ Xphi @ A ) @ A )
& ( Xphi @ ( sK34_Xx @ Xphi @ A ) ) )
| ! [Xx: $i] :
( ~ ( Xphi @ Xx )
| ~ ( in @ Xx @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(139,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ( ( Xphi @ ( sK35_Xx @ Xphi @ A ) )
& ( in @ ( sK35_Xx @ Xphi @ A ) @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(140,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ~ ( in @ Xx @ A )
| ( Xphi @ Xx ) )
| ( ( in @ ( sK36_Xx @ Xphi @ A ) @ A )
& ~ ( Xphi @ ( sK36_Xx @ Xphi @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(141,plain,
( ( ! [Xphi: $o] :
( ~ Xphi
| ( in @ emptyset @ ( prop2set @ Xphi ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(142,plain,
( ( ! [Xphi: $o] :
( ~ Xphi
| ( set2prop @ ( prop2set @ Xphi ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(143,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ( ( Xphi @ ( sK37_Xx @ Xphi @ A ) )
& ( in @ ( sK37_Xx @ Xphi @ A ) @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(144,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ~ ( in @ Xx @ A )
| ( Xphi @ Xx ) )
| ( ( in @ ( sK38_Xx @ Xphi @ A ) @ A )
& ~ ( Xphi @ ( sK38_Xx @ Xphi @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(145,plain,
( ( ! [SY192: $i > $o] :
( ! [Xx: $i] :
( ( ( SY192 @ ( sK40_Xy @ Xx @ SY192 ) )
& ( Xx
!= ( sK40_Xy @ Xx @ SY192 ) ) )
| ~ ( SY192 @ Xx ) )
| ( ! [SY626: $i] :
( ~ ( SY192 @ SY626 )
| ( ( sK39_SY196 @ SY192 )
= SY626 ) )
& ( SY192 @ ( sK39_SY196 @ SY192 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(146,plain,
( ( ! [SY198: $i > $o] :
( ! [Xx: $i] :
~ ( SY198 @ Xx )
| ( ( SY198 @ ( sK42_Xx @ SY198 ) )
& ( SY198 @ ( sK43_SY628 @ SY198 ) )
& ( ( sK42_Xx @ SY198 )
!= ( sK43_SY628 @ SY198 ) ) )
| ( ! [SY627: $i] :
( ~ ( SY198 @ SY627 )
| ( ( sK41_SY203 @ SY198 )
= SY627 ) )
& ( SY198 @ ( sK41_SY203 @ SY198 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(147,plain,
( ( ! [SY205: $i > $o] :
( ! [Xx: $i] :
( ( ( ( sK45_Xy @ Xx @ SY205 )
!= Xx )
| ~ ( SY205 @ ( sK45_Xy @ Xx @ SY205 ) ) )
& ( ( ( sK45_Xy @ Xx @ SY205 )
= Xx )
| ( SY205 @ ( sK45_Xy @ Xx @ SY205 ) ) ) )
| ( ! [SY629: $i] :
( ~ ( SY205 @ SY629 )
| ( ( sK44_SY209 @ SY205 )
= SY629 ) )
& ( SY205 @ ( sK44_SY209 @ SY205 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(148,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ~ ( in @ Xx @ A )
| ( in @ Xy @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(149,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ~ ( in @ Xx @ A )
| ( in @ Xy @ B ) )
& ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ~ ( in @ Xy @ B )
| ( in @ Xx @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(150,plain,
( ( ! [SY219: $i > $o] :
( ! [SY221: $i] :
( ( ( SY219 @ ( sK46_SY222 @ SY221 @ SY219 ) )
& ( SY221
!= ( sK46_SY222 @ SY221 @ SY219 ) ) )
| ~ ( SY219 @ SY221 ) )
| ! [Xx: $i] :
( ~ ( SY219 @ Xx )
| ! [Xy: $i] :
( ~ ( SY219 @ Xy )
| ( Xx = Xy ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(151,plain,
( ( ! [SY225: $i > $o,SY226: $i > $o] :
( ( ( ( sK53_Xx @ SY226 @ SY225 )
= ( sK54_SY633 @ SY226 @ SY225 ) )
& ( ~ ( SY225 @ ( sK53_Xx @ SY226 @ SY225 ) )
| ~ ( SY226 @ ( sK54_SY633 @ SY226 @ SY225 ) ) )
& ( ( SY225 @ ( sK53_Xx @ SY226 @ SY225 ) )
| ( SY226 @ ( sK54_SY633 @ SY226 @ SY225 ) ) ) )
| ! [SY230: $i] :
( ( ( SY225 @ ( sK52_SY231 @ SY230 @ SY226 @ SY225 ) )
& ( SY230
!= ( sK52_SY231 @ SY230 @ SY226 @ SY225 ) ) )
| ~ ( SY225 @ SY230 ) )
| ( ! [SY632: $i] :
( ~ ( SY226 @ SY632 )
| ( ( sK51_SY233 @ SY226 @ SY225 )
= SY632 ) )
& ( SY226 @ ( sK51_SY233 @ SY226 @ SY225 ) ) ) )
& ! [SY225: $i > $o,SY226: $i > $o] :
( ( ( ( sK49_Xx @ SY226 @ SY225 )
= ( sK50_SY631 @ SY226 @ SY225 ) )
& ( ~ ( SY225 @ ( sK49_Xx @ SY226 @ SY225 ) )
| ~ ( SY226 @ ( sK50_SY631 @ SY226 @ SY225 ) ) )
& ( ( SY225 @ ( sK49_Xx @ SY226 @ SY225 ) )
| ( SY226 @ ( sK50_SY631 @ SY226 @ SY225 ) ) ) )
| ! [SY233: $i] :
( ( ( SY226 @ ( sK48_SY234 @ SY233 @ SY226 @ SY225 ) )
& ( SY233
!= ( sK48_SY234 @ SY233 @ SY226 @ SY225 ) ) )
| ~ ( SY226 @ SY233 ) )
| ( ! [SY630: $i] :
( ~ ( SY225 @ SY630 )
| ( ( sK47_SY230 @ SY226 @ SY225 )
= SY630 ) )
& ( SY225 @ ( sK47_SY230 @ SY226 @ SY225 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(152,plain,
$true = $true,
inference(extcnf_combined,[status(esa)],[71]) ).
thf(153,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ! [Xz: $i,Xu: $i] :
( ( Xz != Xu )
| ( ( setadjoin @ Xx @ Xz )
= ( setadjoin @ Xy @ Xu ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(154,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( ( powerset @ A )
= ( powerset @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(155,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( ( setunion @ A )
= ( setunion @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(156,plain,
$true = $true,
inference(extcnf_combined,[status(esa)],[75]) ).
thf(157,plain,
( ( ! [SY243: $i > $o] :
( ! [SY245: $i] :
( ( ( SY243 @ ( sK55_SY246 @ SY245 @ SY243 ) )
& ( SY245
!= ( sK55_SY246 @ SY245 @ SY243 ) ) )
| ~ ( SY243 @ SY245 ) )
| ! [Xx: $i] :
( ~ ( SY243 @ Xx )
| ! [Xy: $i] :
( ~ ( SY243 @ Xy )
| ( Xx = Xy ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(158,plain,
( ( ! [SY249: $i > $o,SY250: $i > $o] :
( ( ( ( sK58_Xx @ SY250 @ SY249 )
= ( sK59_SY634 @ SY250 @ SY249 ) )
& ( ~ ( SY249 @ ( sK58_Xx @ SY250 @ SY249 ) )
| ~ ( SY250 @ ( sK59_SY634 @ SY250 @ SY249 ) ) )
& ( ( SY249 @ ( sK58_Xx @ SY250 @ SY249 ) )
| ( SY250 @ ( sK59_SY634 @ SY250 @ SY249 ) ) ) )
| ! [SY254: $i] :
( ( ( SY249 @ ( sK57_SY255 @ SY254 @ SY250 @ SY249 ) )
& ( SY254
!= ( sK57_SY255 @ SY254 @ SY250 @ SY249 ) ) )
| ~ ( SY249 @ SY254 ) )
| ! [SY257: $i] :
( ( ( SY250 @ ( sK56_SY258 @ SY257 @ SY250 @ SY249 ) )
& ( SY257
!= ( sK56_SY258 @ SY257 @ SY250 @ SY249 ) ) )
| ~ ( SY250 @ SY257 ) )
| ( ( descr
@ ^ [Xx: $i] : ( SY249 @ Xx ) )
= ( descr
@ ^ [Xx: $i] : ( SY250 @ Xx ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(159,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ! [Xphi: $i > $o,Xpsi: $i > $o] :
( ( ( in @ ( sK60_Xx @ Xpsi @ Xphi @ B @ A ) @ A )
& ( in @ ( sK61_SY635 @ Xpsi @ Xphi @ B @ A ) @ B )
& ( ( sK60_Xx @ Xpsi @ Xphi @ B @ A )
= ( sK61_SY635 @ Xpsi @ Xphi @ B @ A ) )
& ( ~ ( Xphi @ ( sK60_Xx @ Xpsi @ Xphi @ B @ A ) )
| ~ ( Xpsi @ ( sK61_SY635 @ Xpsi @ Xphi @ B @ A ) ) )
& ( ( Xphi @ ( sK60_Xx @ Xpsi @ Xphi @ B @ A ) )
| ( Xpsi @ ( sK61_SY635 @ Xpsi @ Xphi @ B @ A ) ) ) )
| ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= ( dsetconstr @ B
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(160,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK62_Xx @ B @ A ) @ A )
& ~ ( in @ ( sK62_Xx @ B @ A ) @ B ) )
| ( subset @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(161,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( subset @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[80]) ).
thf(162,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( subset @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(163,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK63_Xx @ B @ A ) @ A )
& ~ ( in @ ( sK63_Xx @ B @ A ) @ B ) )
| ( subset @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[82]) ).
thf(164,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [Xx: $i] :
( ~ ( in @ Xx @ A )
| ( in @ Xx @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(165,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [Xx: $i] :
( ( in @ Xx @ B )
| ~ ( in @ Xx @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(166,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ~ ( in @ Xx @ A )
| ( in @ Xx @ B )
| ~ ( subset @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(167,plain,
( ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
| ( A != B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(168,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ~ ( in @ Xx @ A )
| ( in @ Xx @ B )
| ( A != B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[88]) ).
thf(169,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [C: $i] :
( ~ ( subset @ B @ C )
| ( subset @ A @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[90]) ).
thf(170,plain,
( ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(171,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [C: $i] :
( ~ ( subset @ B @ C )
| ( subset @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(172,plain,
( ( ! [A: $i] : ( subset @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(173,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ~ ( in @ Xx @ A )
| ( in @ Xx @ B )
| ( A != B ) ) )
= $true ),
inference(copy,[status(thm)],[168]) ).
thf(174,plain,
( ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
| ( A != B ) ) )
= $true ),
inference(copy,[status(thm)],[167]) ).
thf(175,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ~ ( in @ Xx @ A )
| ( in @ Xx @ B )
| ~ ( subset @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[166]) ).
thf(176,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [Xx: $i] :
( ( in @ Xx @ B )
| ~ ( in @ Xx @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[165]) ).
thf(177,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [Xx: $i] :
( ~ ( in @ Xx @ A )
| ( in @ Xx @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[164]) ).
thf(178,plain,
( ( ! [A: $i] : ( subset @ emptyset @ A ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(179,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK63_Xx @ B @ A ) @ A )
& ~ ( in @ ( sK63_Xx @ B @ A ) @ B ) )
| ( subset @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[163]) ).
thf(180,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( subset @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(181,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( subset @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(182,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK62_Xx @ B @ A ) @ A )
& ~ ( in @ ( sK62_Xx @ B @ A ) @ B ) )
| ( subset @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(183,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ! [Xphi: $i > $o,Xpsi: $i > $o] :
( ( ( in @ ( sK60_Xx @ Xpsi @ Xphi @ B @ A ) @ A )
& ( in @ ( sK61_SY635 @ Xpsi @ Xphi @ B @ A ) @ B )
& ( ( sK60_Xx @ Xpsi @ Xphi @ B @ A )
= ( sK61_SY635 @ Xpsi @ Xphi @ B @ A ) )
& ( ~ ( Xphi @ ( sK60_Xx @ Xpsi @ Xphi @ B @ A ) )
| ~ ( Xpsi @ ( sK61_SY635 @ Xpsi @ Xphi @ B @ A ) ) )
& ( ( Xphi @ ( sK60_Xx @ Xpsi @ Xphi @ B @ A ) )
| ( Xpsi @ ( sK61_SY635 @ Xpsi @ Xphi @ B @ A ) ) ) )
| ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= ( dsetconstr @ B
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(184,plain,
( ( ! [SY249: $i > $o,SY250: $i > $o] :
( ( ( ( sK58_Xx @ SY250 @ SY249 )
= ( sK59_SY634 @ SY250 @ SY249 ) )
& ( ~ ( SY249 @ ( sK58_Xx @ SY250 @ SY249 ) )
| ~ ( SY250 @ ( sK59_SY634 @ SY250 @ SY249 ) ) )
& ( ( SY249 @ ( sK58_Xx @ SY250 @ SY249 ) )
| ( SY250 @ ( sK59_SY634 @ SY250 @ SY249 ) ) ) )
| ! [SY254: $i] :
( ( ( SY249 @ ( sK57_SY255 @ SY254 @ SY250 @ SY249 ) )
& ( SY254
!= ( sK57_SY255 @ SY254 @ SY250 @ SY249 ) ) )
| ~ ( SY249 @ SY254 ) )
| ! [SY257: $i] :
( ( ( SY250 @ ( sK56_SY258 @ SY257 @ SY250 @ SY249 ) )
& ( SY257
!= ( sK56_SY258 @ SY257 @ SY250 @ SY249 ) ) )
| ~ ( SY250 @ SY257 ) )
| ( ( descr
@ ^ [Xx: $i] : ( SY249 @ Xx ) )
= ( descr
@ ^ [Xx: $i] : ( SY250 @ Xx ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(185,plain,
( ( ! [SY243: $i > $o] :
( ! [SY245: $i] :
( ( ( SY243 @ ( sK55_SY246 @ SY245 @ SY243 ) )
& ( SY245
!= ( sK55_SY246 @ SY245 @ SY243 ) ) )
| ~ ( SY243 @ SY245 ) )
| ! [Xx: $i] :
( ~ ( SY243 @ Xx )
| ! [Xy: $i] :
( ~ ( SY243 @ Xy )
| ( Xx = Xy ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(186,plain,
$true = $true,
inference(copy,[status(thm)],[156]) ).
thf(187,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( ( setunion @ A )
= ( setunion @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(188,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( ( powerset @ A )
= ( powerset @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(189,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ! [Xz: $i,Xu: $i] :
( ( Xz != Xu )
| ( ( setadjoin @ Xx @ Xz )
= ( setadjoin @ Xy @ Xu ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(190,plain,
$true = $true,
inference(copy,[status(thm)],[152]) ).
thf(191,plain,
( ( ! [SY225: $i > $o,SY226: $i > $o] :
( ( ( ( sK53_Xx @ SY226 @ SY225 )
= ( sK54_SY633 @ SY226 @ SY225 ) )
& ( ~ ( SY225 @ ( sK53_Xx @ SY226 @ SY225 ) )
| ~ ( SY226 @ ( sK54_SY633 @ SY226 @ SY225 ) ) )
& ( ( SY225 @ ( sK53_Xx @ SY226 @ SY225 ) )
| ( SY226 @ ( sK54_SY633 @ SY226 @ SY225 ) ) ) )
| ! [SY230: $i] :
( ( ( SY225 @ ( sK52_SY231 @ SY230 @ SY226 @ SY225 ) )
& ( SY230
!= ( sK52_SY231 @ SY230 @ SY226 @ SY225 ) ) )
| ~ ( SY225 @ SY230 ) )
| ( ! [SY632: $i] :
( ~ ( SY226 @ SY632 )
| ( ( sK51_SY233 @ SY226 @ SY225 )
= SY632 ) )
& ( SY226 @ ( sK51_SY233 @ SY226 @ SY225 ) ) ) )
& ! [SY225: $i > $o,SY226: $i > $o] :
( ( ( ( sK49_Xx @ SY226 @ SY225 )
= ( sK50_SY631 @ SY226 @ SY225 ) )
& ( ~ ( SY225 @ ( sK49_Xx @ SY226 @ SY225 ) )
| ~ ( SY226 @ ( sK50_SY631 @ SY226 @ SY225 ) ) )
& ( ( SY225 @ ( sK49_Xx @ SY226 @ SY225 ) )
| ( SY226 @ ( sK50_SY631 @ SY226 @ SY225 ) ) ) )
| ! [SY233: $i] :
( ( ( SY226 @ ( sK48_SY234 @ SY233 @ SY226 @ SY225 ) )
& ( SY233
!= ( sK48_SY234 @ SY233 @ SY226 @ SY225 ) ) )
| ~ ( SY226 @ SY233 ) )
| ( ! [SY630: $i] :
( ~ ( SY225 @ SY630 )
| ( ( sK47_SY230 @ SY226 @ SY225 )
= SY630 ) )
& ( SY225 @ ( sK47_SY230 @ SY226 @ SY225 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(192,plain,
( ( ! [SY219: $i > $o] :
( ! [SY221: $i] :
( ( ( SY219 @ ( sK46_SY222 @ SY221 @ SY219 ) )
& ( SY221
!= ( sK46_SY222 @ SY221 @ SY219 ) ) )
| ~ ( SY219 @ SY221 ) )
| ! [Xx: $i] :
( ~ ( SY219 @ Xx )
| ! [Xy: $i] :
( ~ ( SY219 @ Xy )
| ( Xx = Xy ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(193,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ~ ( in @ Xx @ A )
| ( in @ Xy @ B ) )
& ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ~ ( in @ Xy @ B )
| ( in @ Xx @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(194,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ~ ( in @ Xx @ A )
| ( in @ Xy @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(195,plain,
( ( ! [SY205: $i > $o] :
( ! [Xx: $i] :
( ( ( ( sK45_Xy @ Xx @ SY205 )
!= Xx )
| ~ ( SY205 @ ( sK45_Xy @ Xx @ SY205 ) ) )
& ( ( ( sK45_Xy @ Xx @ SY205 )
= Xx )
| ( SY205 @ ( sK45_Xy @ Xx @ SY205 ) ) ) )
| ( ! [SY629: $i] :
( ~ ( SY205 @ SY629 )
| ( ( sK44_SY209 @ SY205 )
= SY629 ) )
& ( SY205 @ ( sK44_SY209 @ SY205 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(196,plain,
( ( ! [SY198: $i > $o] :
( ! [Xx: $i] :
~ ( SY198 @ Xx )
| ( ( SY198 @ ( sK42_Xx @ SY198 ) )
& ( SY198 @ ( sK43_SY628 @ SY198 ) )
& ( ( sK42_Xx @ SY198 )
!= ( sK43_SY628 @ SY198 ) ) )
| ( ! [SY627: $i] :
( ~ ( SY198 @ SY627 )
| ( ( sK41_SY203 @ SY198 )
= SY627 ) )
& ( SY198 @ ( sK41_SY203 @ SY198 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(197,plain,
( ( ! [SY192: $i > $o] :
( ! [Xx: $i] :
( ( ( SY192 @ ( sK40_Xy @ Xx @ SY192 ) )
& ( Xx
!= ( sK40_Xy @ Xx @ SY192 ) ) )
| ~ ( SY192 @ Xx ) )
| ( ! [SY626: $i] :
( ~ ( SY192 @ SY626 )
| ( ( sK39_SY196 @ SY192 )
= SY626 ) )
& ( SY192 @ ( sK39_SY196 @ SY192 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(198,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ~ ( in @ Xx @ A )
| ( Xphi @ Xx ) )
| ( ( in @ ( sK38_Xx @ Xphi @ A ) @ A )
& ~ ( Xphi @ ( sK38_Xx @ Xphi @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(199,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ( ( Xphi @ ( sK37_Xx @ Xphi @ A ) )
& ( in @ ( sK37_Xx @ Xphi @ A ) @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(200,plain,
( ( ! [Xphi: $o] :
( ~ Xphi
| ( set2prop @ ( prop2set @ Xphi ) ) ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(201,plain,
( ( ! [Xphi: $o] :
( ~ Xphi
| ( in @ emptyset @ ( prop2set @ Xphi ) ) ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(202,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ~ ( in @ Xx @ A )
| ( Xphi @ Xx ) )
| ( ( in @ ( sK36_Xx @ Xphi @ A ) @ A )
& ~ ( Xphi @ ( sK36_Xx @ Xphi @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(203,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ( ( Xphi @ ( sK35_Xx @ Xphi @ A ) )
& ( in @ ( sK35_Xx @ Xphi @ A ) @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( Xphi @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(204,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ( ( in @ ( sK34_Xx @ Xphi @ A ) @ A )
& ( Xphi @ ( sK34_Xx @ Xphi @ A ) ) )
| ! [Xx: $i] :
( ~ ( Xphi @ Xx )
| ~ ( in @ Xx @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(205,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ~ ( in @ Xx @ A )
| ( Xphi @ Xx ) )
| ( ( in @ ( sK33_Xx @ Xphi @ A ) @ A )
& ~ ( Xphi @ ( sK33_Xx @ Xphi @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(206,plain,
( ( ! [Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx @ emptyset )
| ( Xphi @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(207,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ~ ( Xphi @ Xx )
| ~ ( in @ Xx @ A ) )
| ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
!= emptyset ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(208,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(209,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(210,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ~ ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
| ( Xz = Xx )
| ( Xz = Xy ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(211,plain,
( ( ! [Xx: $i,Xy: $i] :
( ~ ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
| ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(212,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(213,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
| ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(214,plain,
( ( ! [Xx: $i,Xy: $i] :
( ~ ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
| ( Xx = Xy ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(215,plain,
( ( ! [SY143: $i] :
( ( SY143 = emptyset )
| ( in @ ( sK32_Xx @ SY143 ) @ SY143 ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(216,plain,
( ( ! [SY137: $i > $o] :
( ! [SY139: $i] :
( ( ( SY137 @ ( sK31_SY140 @ SY139 @ SY137 ) )
& ( SY139
!= ( sK31_SY140 @ SY139 @ SY137 ) ) )
| ~ ( SY137 @ SY139 ) )
| ( ! [SY624: $i] :
( ( SY624
!= ( sK30_Xx @ SY137 ) )
| ( SY137 @ SY624 ) )
& ! [SY625: $i] :
( ~ ( SY137 @ SY625 )
| ( SY625
= ( sK30_Xx @ SY137 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(217,plain,
( ( ! [A: $i,Xx: $i] :
( ~ ( in @ Xx @ A )
| ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(218,plain,
( ( ! [A: $i,Xx: $i] :
( ~ ( in @ Xx @ ( setunion @ A ) )
| ! [Xphi: $o] :
( ( ( in @ Xx @ ( sK29_B @ Xphi @ Xx @ A ) )
& ( in @ ( sK29_B @ Xphi @ Xx @ A ) @ A )
& ~ Xphi )
| Xphi ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(219,plain,
( ( ! [A: $i,Xx: $i,B: $i] :
( ~ ( in @ Xx @ B )
| ~ ( in @ B @ A )
| ( in @ Xx @ ( setunion @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(220,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ B @ ( powerset @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ B )
| ( in @ Xx @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(221,plain,
( ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(222,plain,
( ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(223,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK28_Xx @ B @ A ) @ B )
& ~ ( in @ ( sK28_Xx @ B @ A ) @ A ) )
| ( in @ B @ ( powerset @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(224,plain,
( ( ! [A: $i] :
( ( dsetconstr @ A
@ ^ [Xx: $i] : $true )
= A ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(225,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ~ ( in @ Xy @ ( setadjoin @ Xx @ A ) )
| ( Xy = Xx )
| ( in @ Xy @ A ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(226,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ~ ( in @ Xy @ ( setadjoin @ Xx @ A ) )
| ( ( ( Xy = Xx )
| ( in @ Xy @ A )
| ! [Xphi: $o] : Xphi )
& ( ( Xy = Xx )
| ! [Xphi: $o] :
( ~ Xphi
| Xphi ) )
& ! [Xphi: $o] :
( ~ Xphi
| ( in @ Xy @ A )
| Xphi )
& ! [Xphi: $o] :
( ~ Xphi
| ~ Xphi
| Xphi ) ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(227,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ~ ( in @ Xy @ A )
| ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(228,plain,
( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(229,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(230,plain,
( ( ! [SY104: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ SY104 )
| ( SY104 != emptyset ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(231,plain,
( ( ! [SY100: $i,SY101: $i > $o,SY102: $i] :
( ~ ( in @ SY102 @ SY100 )
| ~ ( SY101 @ SY102 )
| ( ( dsetconstr @ SY100
@ ^ [Xy: $i] : ( SY101 @ Xy ) )
!= emptyset ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(232,plain,
( ( ! [SY98: $i] :
( ( SY98 = emptyset )
| ( in @ ( sK27_Xx @ SY98 ) @ SY98 ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(233,plain,
( ( ! [A: $i] :
( ! [Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( Xphi @ Xx )
| ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) )
& ! [Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
| ( Xphi @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(234,plain,
( ( ! [A: $i] :
( ( in @ ( sK26_Xx @ A ) @ A )
| ( A = emptyset ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(235,plain,
( ( ! [A: $i] :
( ( in @ ( sK25_Xx @ A ) @ A )
| ( A = emptyset ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(236,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK24_Xx @ B @ A ) @ A )
& ~ ( in @ ( sK24_Xx @ B @ A ) @ B ) )
| ( ( in @ ( sK23_Xx @ B @ A ) @ B )
& ~ ( in @ ( sK23_Xx @ B @ A ) @ A ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(237,plain,
( ( ! [SY81: $i > $o] :
( ! [SY83: $i] :
( ( ( SY81 @ ( sK22_SY84 @ SY83 @ SY81 ) )
& ( SY83
!= ( sK22_SY84 @ SY83 @ SY81 ) ) )
| ~ ( SY81 @ SY83 ) )
| ( SY81 @ ( sK21_Xx @ SY81 ) ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(238,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(239,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(240,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset )
| ! [Xphi: $o] : Xphi )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(241,plain,
( ( ! [Xphi: $o] :
( ! [Xx: $i] :
~ ( in @ Xx @ ( prop2set @ Xphi ) )
| Xphi ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(242,plain,
( ( ! [SY69: $i > $o] :
( ! [SY71: $i] :
( ( ( SY69 @ ( sK20_SY72 @ SY71 @ SY69 ) )
& ( SY71
!= ( sK20_SY72 @ SY71 @ SY69 ) ) )
| ~ ( SY69 @ SY71 ) )
| ( ! [SY623: $i] :
( ~ ( SY69 @ SY623 )
| ( ( sK19_Xx @ SY69 )
= SY623 ) )
& ( SY69 @ ( sK19_Xx @ SY69 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(243,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
| ( Xphi @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(244,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
| ( in @ Xx @ A ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(245,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( Xphi @ Xx )
| ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(246,plain,
( ( ! [SY52: $i > $o] :
( ! [SY54: $i] :
( ( ( SY52 @ ( sK18_SY55 @ SY54 @ SY52 ) )
& ( SY54
!= ( sK18_SY55 @ SY54 @ SY52 ) ) )
| ~ ( SY52 @ SY54 ) )
| ( SY52
@ ( descr
@ ^ [Xx: $i] : ( SY52 @ Xx ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(247,plain,
( ( ! [A: $i] :
( ! [SY599: $i] :
( ( ( in @ ( sK17_Xx @ SY599 @ A ) @ SY599 )
& ~ ( in @ ( sK17_Xx @ SY599 @ A ) @ A ) )
| ! [Xx: $i] :
~ ( in @ Xx @ SY599 )
| ( ! [SY620: $i] :
( ~ ( in @ SY620 @ ( sK13_B @ A ) )
| ! [SY618: $i] :
( ~ ( in @ SY618 @ SY620 )
| ( in @ SY618 @ ( sK15_SY602 @ SY599 @ A ) ) )
| ( in @ ( sK16_SY616 @ SY599 @ A ) @ SY620 ) )
& ( in @ ( sK15_SY602 @ SY599 @ A ) @ ( sK13_B @ A ) )
& ( in @ ( sK16_SY616 @ SY599 @ A ) @ SY599 )
& ! [SY619: $i] :
( ~ ( in @ SY619 @ ( sK15_SY602 @ SY599 @ A ) )
| ~ ( in @ SY619 @ SY599 ) ) ) )
& ! [SY607: $i,SY608: $i] :
( ~ ( in @ SY607 @ ( sK13_B @ A ) )
| ~ ( in @ SY608 @ ( sK13_B @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ SY607 )
| ( in @ Xx @ SY608 ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ SY608 )
| ( in @ Xx @ SY607 ) ) )
& ! [SY611: $i] :
( ~ ( in @ SY611 @ ( sK13_B @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ SY611 )
| ( in @ Xx @ A ) ) )
& ! [SY613: $i,SY614: $i] :
( ~ ( in @ SY613 @ A )
| ~ ( in @ SY614 @ A )
| ( ( in @ ( sK14_SY615 @ SY614 @ SY613 @ A ) @ ( sK13_B @ A ) )
& ( ~ ( in @ SY613 @ ( sK14_SY615 @ SY614 @ SY613 @ A ) )
| ~ ( in @ SY614 @ ( sK14_SY615 @ SY614 @ SY613 @ A ) ) )
& ( ( in @ SY613 @ ( sK14_SY615 @ SY614 @ SY613 @ A ) )
| ( in @ SY614 @ ( sK14_SY615 @ SY614 @ SY613 @ A ) ) ) )
| ( SY613 = SY614 ) ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(248,plain,
( ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
| ( ( in @ ( sK12_B @ A ) @ A )
& ! [SY598: $i] :
( ~ ( in @ SY598 @ ( sK12_B @ A ) )
| ~ ( in @ SY598 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(249,plain,
( ( ! [SY20: $i > $i > $o,SY21: $i] :
( ( ( in @ ( sK10_SY22 @ SY21 @ SY20 ) @ SY21 )
& ! [SY596: $i] :
( ( ( SY20 @ ( sK10_SY22 @ SY21 @ SY20 ) @ ( sK11_SY597 @ SY596 @ SY21 @ SY20 ) )
& ( SY596
!= ( sK11_SY597 @ SY596 @ SY21 @ SY20 ) ) )
| ~ ( SY20 @ ( sK10_SY22 @ SY21 @ SY20 ) @ SY596 ) ) )
| ( ! [SY592: $i] :
( ! [Xy: $i] :
( ~ ( SY20 @ Xy @ SY592 )
| ~ ( in @ Xy @ SY21 ) )
| ( in @ SY592 @ ( sK8_B @ SY21 @ SY20 ) ) )
& ! [SY594: $i] :
( ~ ( in @ SY594 @ ( sK8_B @ SY21 @ SY20 ) )
| ( ( SY20 @ ( sK9_Xy @ SY594 @ SY21 @ SY20 ) @ SY594 )
& ( in @ ( sK9_Xy @ SY594 @ SY21 @ SY20 ) @ SY21 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(250,plain,
( ( ! [A: $i] :
( ( ( in @ ( sK7_Xx @ A ) @ omega )
& ( in @ ( sK7_Xx @ A ) @ A )
& ~ ( in @ ( setadjoin @ ( sK7_Xx @ A ) @ ( sK7_Xx @ A ) ) @ A ) )
| ~ ( in @ emptyset @ A )
| ! [Xx: $i] :
( ~ ( in @ Xx @ omega )
| ( in @ Xx @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(251,plain,
( ( ! [Xx: $i] :
( ~ ( in @ Xx @ omega )
| ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(252,plain,
( ( in @ emptyset @ omega )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(253,plain,
( ( ! [A: $i,Xx: $i] :
( ! [B: $i] :
( ~ ( in @ Xx @ B )
| ~ ( in @ B @ A ) )
| ( in @ Xx @ ( setunion @ A ) ) )
& ! [A: $i,Xx: $i] :
( ~ ( in @ Xx @ ( setunion @ A ) )
| ( ( in @ Xx @ ( sK6_B @ Xx @ A ) )
& ( in @ ( sK6_B @ Xx @ A ) @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(254,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK5_Xx @ B @ A ) @ B )
& ~ ( in @ ( sK5_Xx @ B @ A ) @ A ) )
| ( in @ B @ ( powerset @ A ) ) )
& ! [A: $i,B: $i] :
( ~ ( in @ B @ ( powerset @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ B )
| ( in @ Xx @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(255,plain,
( ( ! [Xx: $i] :
( ! [A: $i,Xy: $i] :
( ~ ( in @ Xy @ ( setadjoin @ Xx @ A ) )
| ( Xy = Xx )
| ( in @ Xy @ A ) )
& ! [A: $i,Xy: $i] :
( ( Xy != Xx )
| ( in @ Xy @ ( setadjoin @ Xx @ A ) ) )
& ! [A: $i,Xy: $i] :
( ~ ( in @ Xy @ A )
| ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(256,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(257,plain,
( ( ! [A: $i,B: $i] :
( ( ( ~ ( in @ ( sK4_Xx @ B @ A ) @ A )
| ~ ( in @ ( sK4_Xx @ B @ A ) @ B ) )
& ( ( in @ ( sK4_Xx @ B @ A ) @ A )
| ( in @ ( sK4_Xx @ B @ A ) @ B ) ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(258,plain,
( ( ( subset @ sK1_A @ sK3_SY591 )
& ~ ( subset @ sK1_A @ ( setadjoin @ sK2_SY589 @ sK3_SY591 ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(259,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 @ SX2 ) )
| ~ ( ~ ( in @ ( sK38_Xx @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( SX1 @ ( sK38_Xx @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(260,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( in @ SX1 @ SX0 )
| ~ ( ~ ( in @ ( sK12_B @ SX0 ) @ SX0 )
| ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ ( sK12_B @ SX0 ) )
| ~ ( in @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[248,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(261,plain,
( ( ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK53_Xx @ SX1 @ SX0 )
!= ( sK54_SY633 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK54_SY633 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK54_SY633 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX0 @ ( sK52_SY231 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK52_SY231 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( ( sK51_SY233 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX1 @ ( sK51_SY233 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK49_Xx @ SX1 @ SX0 )
!= ( sK50_SY631 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK50_SY631 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK50_SY631 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX1 @ ( sK48_SY234 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK48_SY234 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( ( sK47_SY230 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX0 @ ( sK47_SY230 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(262,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( in @ SX2 @ ( setadjoin @ SX0 @ SX1 ) )
| ( SX2 = SX0 )
| ( in @ SX2 @ SX1 ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ( SX2 != SX0 )
| ( in @ SX2 @ ( setadjoin @ SX0 @ SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ ( setadjoin @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(263,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK28_Xx @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( in @ ( sK28_Xx @ SX1 @ SX0 ) @ SX0 ) )
| ( in @ SX1 @ ( powerset @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[223,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(264,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ~ ( in @ SX2 @ SX0 )
| ( in @ SX3 @ SX1 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ~ ( in @ SX3 @ SX1 )
| ( in @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(265,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 @ SX2 ) )
| ~ ( ~ ( in @ ( sK36_Xx @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( SX1 @ ( sK36_Xx @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(266,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK40_Xy @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK40_Xy @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX1 ) )
| ~ ( ~ ! [SX1: $i] :
( ~ ( SX0 @ SX1 )
| ( ( sK39_SY196 @ SX0 )
= SX1 ) )
| ~ ( SX0 @ ( sK39_SY196 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(267,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK24_Xx @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK24_Xx @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ~ ( in @ ( sK23_Xx @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( in @ ( sK23_Xx @ SX1 @ SX0 ) @ SX0 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[236,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(268,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ( ~ ( SX1 @ ( sK35_Xx @ SX1 @ SX0 ) )
| ~ ( in @ ( sK35_Xx @ SX1 @ SX0 ) @ SX0 ) )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(269,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK63_Xx @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK63_Xx @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(270,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK5_Xx @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( in @ ( sK5_Xx @ SX1 @ SX0 ) @ SX0 ) )
| ( in @ SX1 @ ( powerset @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ ( powerset @ SX0 ) )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(271,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i > $o,SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 )
| ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] : ( SX1 @ SX3 ) ) ) )
| ~ ! [SX1: $i > $o,SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] : ( SX1 @ SX3 ) ) )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(272,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK58_Xx @ SX1 @ SX0 )
!= ( sK59_SY634 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK58_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK59_SY634 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK58_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK59_SY634 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX0 @ ( sK57_SY255 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK57_SY255 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX1 @ ( sK56_SY258 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK56_SY258 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ SX2 ) )
| ( ( descr
@ ^ [SX2: $i] : ( SX0 @ SX2 ) )
= ( descr
@ ^ [SX2: $i] : ( SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(273,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ! [SX2: $i > $o,SX3: $i > $o] :
( ~ ( ~ ( in @ ( sK60_Xx @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( ~ ( in @ ( sK61_SY635 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( ( ( sK60_Xx @ SX3 @ SX2 @ SX1 @ SX0 )
!= ( sK61_SY635 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX2 @ ( sK60_Xx @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( SX3 @ ( sK61_SY635 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX2 @ ( sK60_Xx @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( SX3 @ ( sK61_SY635 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
| ( ( dsetconstr @ SX0
@ ^ [SX4: $i] : ( SX2 @ SX4 ) )
= ( dsetconstr @ SX1
@ ^ [SX4: $i] : ( SX3 @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(274,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK46_SY222 @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK46_SY222 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(275,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
~ ( ~ ( ( ( sK45_Xy @ SX1 @ SX0 )
!= SX1 )
| ~ ( SX0 @ ( sK45_Xy @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK45_Xy @ SX1 @ SX0 )
= SX1 )
| ( SX0 @ ( sK45_Xy @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ! [SX1: $i] :
( ~ ( SX0 @ SX1 )
| ( ( sK44_SY209 @ SX0 )
= SX1 ) )
| ~ ( SX0 @ ( sK44_SY209 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(276,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ( ~ ( in @ ( sK34_Xx @ SX1 @ SX0 ) @ SX0 )
| ~ ( SX1 @ ( sK34_Xx @ SX1 @ SX0 ) ) )
| ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ~ ( in @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(277,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK31_SY140 @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK31_SY140 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX1 ) )
| ~ ( ~ ! [SX1: $i] :
( ( SX1
!= ( sK30_Xx @ SX0 ) )
| ( SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( SX0 @ SX1 )
| ( SX1
= ( sK30_Xx @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[216,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(278,plain,
( ( ~ ( ~ ( subset @ sK1_A @ sK3_SY591 )
| ~ ~ ( subset @ sK1_A @ ( setadjoin @ sK2_SY589 @ sK3_SY591 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(279,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( in @ SX1 @ SX2 )
| ~ ( in @ SX2 @ SX0 ) )
| ( in @ SX1 @ ( setunion @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ ( setunion @ SX0 ) )
| ~ ( ~ ( in @ SX1 @ ( sK6_B @ SX1 @ SX0 ) )
| ~ ( in @ ( sK6_B @ SX1 @ SX0 ) @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(280,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ ( setunion @ SX0 ) )
| ! [SX2: $o] :
( ~ ( ~ ( in @ SX1 @ ( sK29_B @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ SX2 ) )
| SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[218,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(281,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
~ ( SX0 @ SX1 )
| ~ ( ~ ( SX0 @ ( sK42_Xx @ SX0 ) )
| ~ ~ ( ~ ( SX0 @ ( sK43_SY628 @ SX0 ) )
| ~ ( ( ( sK42_Xx @ SX0 )
!= ( sK43_SY628 @ SX0 ) ) ) ) )
| ~ ( ~ ! [SX1: $i] :
( ~ ( SX0 @ SX1 )
| ( ( sK41_SY203 @ SX0 )
= SX1 ) )
| ~ ( SX0 @ ( sK41_SY203 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(282,plain,
( ( ! [SX0: $i > $i > $o,SX1: $i] :
( ~ ( ~ ( in @ ( sK10_SY22 @ SX1 @ SX0 ) @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( ~ ( SX0 @ ( sK10_SY22 @ SX1 @ SX0 ) @ ( sK11_SY597 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK11_SY597 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ ( sK10_SY22 @ SX1 @ SX0 ) @ SX2 ) ) )
| ~ ( ~ ! [SX2: $i] :
( ! [SX3: $i] :
( ~ ( SX0 @ SX3 @ SX2 )
| ~ ( in @ SX3 @ SX1 ) )
| ( in @ SX2 @ ( sK8_B @ SX1 @ SX0 ) ) )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ ( sK8_B @ SX1 @ SX0 ) )
| ~ ( ~ ( SX0 @ ( sK9_Xy @ SX2 @ SX1 @ SX0 ) @ SX2 )
| ~ ( in @ ( sK9_Xy @ SX2 @ SX1 @ SX0 ) @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[249,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(283,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( in @ ( sK4_Xx @ SX1 @ SX0 ) @ SX0 )
| ~ ( in @ ( sK4_Xx @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( in @ ( sK4_Xx @ SX1 @ SX0 ) @ SX0 )
| ( in @ ( sK4_Xx @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(284,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK55_SY246 @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK55_SY246 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(285,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( in @ ( sK7_Xx @ SX0 ) @ omega )
| ~ ( in @ ( sK7_Xx @ SX0 ) @ SX0 ) )
| ~ ~ ( in @ ( setadjoin @ ( sK7_Xx @ SX0 ) @ ( sK7_Xx @ SX0 ) ) @ SX0 ) )
| ~ ( in @ emptyset @ SX0 )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ omega )
| ( in @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(286,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ( ~ ( SX1 @ ( sK37_Xx @ SX1 @ SX0 ) )
| ~ ( in @ ( sK37_Xx @ SX1 @ SX0 ) @ SX0 ) )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(287,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX2 @ ( setadjoin @ SX0 @ SX1 ) )
| ~ ( ~ ~ ( ~ ( ( SX2 = SX0 )
| ( in @ SX2 @ SX1 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SX2 = SX0 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
| ~ ~ ( ~ ! [SX3: $o] :
( ~ SX3
| ( in @ SX2 @ SX1 )
| SX3 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[226,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(288,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i] :
( ~ ( ~ ( in @ ( sK17_Xx @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( in @ ( sK17_Xx @ SX1 @ SX0 ) @ SX0 ) )
| ! [SX2: $i] :
~ ( in @ SX2 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ ( sK13_B @ SX0 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SX2 )
| ( in @ SX3 @ ( sK15_SY602 @ SX1 @ SX0 ) ) )
| ( in @ ( sK16_SY616 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SX1 @ SX0 ) @ ( sK13_B @ SX0 ) )
| ~ ( in @ ( sK16_SY616 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ ( sK15_SY602 @ SX1 @ SX0 ) )
| ~ ( in @ SX2 @ SX1 ) ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( in @ SX1 @ ( sK13_B @ SX0 ) )
| ~ ( in @ SX2 @ ( sK13_B @ SX0 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SX1 )
| ( in @ SX3 @ SX2 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SX2 )
| ( in @ SX3 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ ( sK13_B @ SX0 ) )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ SX0 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( in @ SX1 @ SX0 )
| ~ ( in @ SX2 @ SX0 )
| ~ ( ~ ( in @ ( sK14_SY615 @ SX2 @ SX1 @ SX0 ) @ ( sK13_B @ SX0 ) )
| ~ ~ ( ~ ( ~ ( in @ SX1 @ ( sK14_SY615 @ SX2 @ SX1 @ SX0 ) )
| ~ ( in @ SX2 @ ( sK14_SY615 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( in @ SX1 @ ( sK14_SY615 @ SX2 @ SX1 @ SX0 ) )
| ( in @ SX2 @ ( sK14_SY615 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ( SX1 = SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[247,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(289,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK22_SY84 @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK22_SY84 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX1 ) )
| ( SX0 @ ( sK21_Xx @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[237,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(290,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK20_SY72 @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK20_SY72 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX1 ) )
| ~ ( ~ ! [SX1: $i] :
( ~ ( SX0 @ SX1 )
| ( ( sK19_Xx @ SX0 )
= SX1 ) )
| ~ ( SX0 @ ( sK19_Xx @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(291,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK18_SY55 @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK18_SY55 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX1 ) )
| ( SX0
@ ( descr
@ ^ [SX1: $i] : ( SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[246,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(292,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 @ SX2 ) )
| ~ ( ~ ( in @ ( sK33_Xx @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( SX1 @ ( sK33_Xx @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(293,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK62_Xx @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK62_Xx @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,emptysetsubset,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notequalI1,notequalI2,notinemptyset,notinsingleton,notsubsetI,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoinSub,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subsetE,subsetE2,subsetI1,subsetI2,subsetRefl,subsetTrans,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(294,plain,
! [SV1: $i] :
( ( ! [SY636: $i] : ( subset @ SY636 @ ( setadjoin @ SV1 @ SY636 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(295,plain,
! [SV2: $i] :
( ( ! [SY637: $i] :
( ~ ( subset @ SV2 @ SY637 )
| ! [SY638: $i] :
( ~ ( subset @ SY637 @ SY638 )
| ( subset @ SV2 @ SY638 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(296,plain,
! [SV3: $i] :
( ( subset @ SV3 @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(297,plain,
! [SV4: $i] :
( ( ! [SY639: $i,SY640: $i] :
( ~ ( in @ SY640 @ SV4 )
| ( in @ SY640 @ SY639 )
| ( SV4 != SY639 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(298,plain,
! [SV5: $i] :
( ( ! [SY641: $i] :
( ( subset @ SV5 @ SY641 )
| ( SV5 != SY641 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(299,plain,
! [SV6: $i] :
( ( ! [SY642: $i,SY643: $i] :
( ~ ( in @ SY643 @ SV6 )
| ( in @ SY643 @ SY642 )
| ~ ( subset @ SV6 @ SY642 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(300,plain,
! [SV7: $i] :
( ( ! [SY644: $i] :
( ~ ( subset @ SV7 @ SY644 )
| ! [SY645: $i] :
( ( in @ SY645 @ SY644 )
| ~ ( in @ SY645 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(301,plain,
! [SV8: $i] :
( ( ! [SY646: $i] :
( ~ ( subset @ SV8 @ SY646 )
| ! [SY647: $i] :
( ~ ( in @ SY647 @ SV8 )
| ( in @ SY647 @ SY646 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(302,plain,
! [SV9: $i] :
( ( subset @ emptyset @ SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(303,plain,
! [SV10: $i] :
( ( ! [SY648: $i] :
( ( SV10 != SY648 )
| ( subset @ SV10 @ SY648 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(304,plain,
! [SV11: $i] :
( ( ! [SY649: $i] :
( ( SV11 != SY649 )
| ( subset @ SY649 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(305,plain,
! [SV12: $i] :
( ( ! [SY650: $i] :
( ( SV12 != SY650 )
| ( ( setunion @ SV12 )
= ( setunion @ SY650 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(306,plain,
! [SV13: $i] :
( ( ! [SY651: $i] :
( ( SV13 != SY651 )
| ( ( powerset @ SV13 )
= ( powerset @ SY651 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(307,plain,
! [SV14: $i] :
( ( ! [SY652: $i] :
( ( SV14 != SY652 )
| ! [SY653: $i,SY654: $i] :
( ( SY653 != SY654 )
| ( ( setadjoin @ SV14 @ SY653 )
= ( setadjoin @ SY652 @ SY654 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(308,plain,
! [SV15: $i] :
( ( ! [SY655: $i] :
( ( SV15 != SY655 )
| ! [SY656: $i,SY657: $i] :
( ( SY656 != SY657 )
| ~ ( in @ SY656 @ SV15 )
| ( in @ SY657 @ SY655 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(309,plain,
! [SV16: $o] :
( ( ~ SV16
| ( set2prop @ ( prop2set @ SV16 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[200]) ).
thf(310,plain,
( ( ~ $true
| ( set2prop @ ( prop2set @ $true ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[200]) ).
thf(311,plain,
( ( ~ $false
| ( set2prop @ ( prop2set @ $false ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[200]) ).
thf(312,plain,
! [SV17: $o] :
( ( ~ SV17
| ( in @ emptyset @ ( prop2set @ SV17 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[201]) ).
thf(313,plain,
( ( ~ $true
| ( in @ emptyset @ ( prop2set @ $true ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[201]) ).
thf(314,plain,
( ( ~ $false
| ( in @ emptyset @ ( prop2set @ $false ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[201]) ).
thf(315,plain,
! [SV18: $i > $o] :
( ( ! [SY658: $i] :
( ~ ( in @ SY658 @ emptyset )
| ( SV18 @ SY658 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(316,plain,
! [SV19: $i] :
( ( ! [SY659: $i > $o] :
( ! [SY660: $i] :
( ~ ( SY659 @ SY660 )
| ~ ( in @ SY660 @ SV19 ) )
| ( ( dsetconstr @ SV19
@ ^ [Xx: $i] : ( SY659 @ Xx ) )
!= emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(317,plain,
! [SV20: $i] :
( ( ! [SY662: $i] : ( in @ SY662 @ ( setadjoin @ SV20 @ ( setadjoin @ SY662 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(318,plain,
! [SV21: $i] :
( ( ! [SY663: $i] : ( in @ SV21 @ ( setadjoin @ SV21 @ ( setadjoin @ SY663 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(319,plain,
! [SV22: $i] :
( ( ! [SY664: $i,SY665: $i] :
( ~ ( in @ SY665 @ ( setadjoin @ SV22 @ ( setadjoin @ SY664 @ emptyset ) ) )
| ( SY665 = SV22 )
| ( SY665 = SY664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(320,plain,
! [SV23: $i] :
( ( ! [SY666: $i] :
( ~ ( in @ SV23 @ ( setadjoin @ SY666 @ emptyset ) )
| ( in @ SY666 @ ( setadjoin @ SV23 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(321,plain,
! [SV24: $i] :
( ( ! [SY667: $i] :
( ( SV24 != SY667 )
| ( in @ SV24 @ ( setadjoin @ SY667 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(322,plain,
! [SV25: $i] :
( ( ! [SY668: $i] :
( ( SV25 = SY668 )
| ~ ( in @ SY668 @ ( setadjoin @ SV25 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(323,plain,
! [SV26: $i] :
( ( ! [SY669: $i] :
( ~ ( in @ SV26 @ ( setadjoin @ SY669 @ emptyset ) )
| ( SV26 = SY669 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(324,plain,
! [SV27: $i] :
( ( ( SV27 = emptyset )
| ( in @ ( sK32_Xx @ SV27 ) @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(325,plain,
! [SV28: $i] :
( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ SV28 )
| ( in @ SY670 @ ( powerset @ ( setunion @ SV28 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(326,plain,
! [SV29: $i] :
( ( ! [SY671: $i,SY672: $i] :
( ~ ( in @ SY671 @ SY672 )
| ~ ( in @ SY672 @ SV29 )
| ( in @ SY671 @ ( setunion @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(327,plain,
! [SV30: $i] :
( ( ! [SY673: $i] :
( ~ ( in @ SY673 @ ( powerset @ SV30 ) )
| ! [SY674: $i] :
( ~ ( in @ SY674 @ SY673 )
| ( in @ SY674 @ SV30 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(328,plain,
! [SV31: $i] :
( ( in @ emptyset @ ( powerset @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(329,plain,
! [SV32: $i] :
( ( in @ emptyset @ ( powerset @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(330,plain,
! [SV33: $i] :
( ( ( dsetconstr @ SV33
@ ^ [Xx: $i] : $true )
= SV33 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(331,plain,
! [SV34: $i] :
( ( ! [SY676: $i,SY677: $i] :
( ~ ( in @ SY677 @ ( setadjoin @ SV34 @ SY676 ) )
| ( SY677 = SV34 )
| ( in @ SY677 @ SY676 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(332,plain,
! [SV35: $i] :
( ( ! [SY678: $i,SY679: $i] :
( ~ ( in @ SY679 @ SY678 )
| ( in @ SY679 @ ( setadjoin @ SV35 @ SY678 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(333,plain,
! [SV36: $i] :
( ( ! [SY680: $i] : ( in @ SV36 @ ( setadjoin @ SV36 @ SY680 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(334,plain,
! [SV37: $i] :
( ( ! [SY681: $i] :
~ ( in @ SY681 @ SV37 )
| ( SV37 != emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(335,plain,
! [SV38: $i] :
( ( ! [SY682: $i > $o,SY683: $i] :
( ~ ( in @ SY683 @ SV38 )
| ~ ( SY682 @ SY683 )
| ( ( dsetconstr @ SV38
@ ^ [Xy: $i] : ( SY682 @ Xy ) )
!= emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(336,plain,
! [SV39: $i] :
( ( ( SV39 = emptyset )
| ( in @ ( sK27_Xx @ SV39 ) @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(337,plain,
! [SV40: $i] :
( ( ( in @ ( sK26_Xx @ SV40 ) @ SV40 )
| ( SV40 = emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(338,plain,
! [SV41: $i] :
( ( ( in @ ( sK25_Xx @ SV41 ) @ SV41 )
| ( SV41 = emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(339,plain,
! [SV42: $i] :
( ( ~ ( in @ SV42 @ emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(340,plain,
! [SV43: $i] :
( ( ~ ( in @ SV43 @ emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(341,plain,
( ( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true )
| ( ( ! [Xphi: $o] : Xphi )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(342,plain,
! [SV44: $o] :
( ( ! [SY685: $i] :
~ ( in @ SY685 @ ( prop2set @ SV44 ) )
| SV44 )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[241]) ).
thf(343,plain,
( ( ! [SX0: $i] :
~ ( in @ SX0 @ ( prop2set @ $true ) )
| $true )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[241]) ).
thf(344,plain,
( ( ! [SX0: $i] :
~ ( in @ SX0 @ ( prop2set @ $false ) )
| $false )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[241]) ).
thf(345,plain,
! [SV45: $i] :
( ( ! [SY686: $i > $o,SY687: $i] :
( ~ ( in @ SY687
@ ( dsetconstr @ SV45
@ ^ [Xy: $i] : ( SY686 @ Xy ) ) )
| ( SY686 @ SY687 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(346,plain,
! [SV46: $i] :
( ( ! [SY689: $i > $o,SY690: $i] :
( ~ ( in @ SY690
@ ( dsetconstr @ SV46
@ ^ [Xy: $i] : ( SY689 @ Xy ) ) )
| ( in @ SY690 @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(347,plain,
! [SV47: $i] :
( ( ! [SY692: $i > $o,SY693: $i] :
( ~ ( in @ SY693 @ SV47 )
| ~ ( SY692 @ SY693 )
| ( in @ SY693
@ ( dsetconstr @ SV47
@ ^ [Xy: $i] : ( SY692 @ Xy ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(348,plain,
! [SV48: $i] :
( ( ~ ( in @ SV48 @ omega )
| ( in @ ( setadjoin @ SV48 @ SV48 ) @ omega ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(349,plain,
! [SV49: $i] :
( ( ~ ( in @ SV49 @ emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(350,plain,
! [SV50: $i] :
( ( ! [SY695: $i > $o] :
( ! [SY696: $i] :
( ~ ( in @ SY696 @ SV50 )
| ( SY695 @ SY696 ) )
| ~ ( ~ ( in @ ( sK38_Xx @ SY695 @ SV50 ) @ SV50 )
| ~ ~ ( SY695 @ ( sK38_Xx @ SY695 @ SV50 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(351,plain,
! [SV51: $i] :
( ( ! [SY697: $i] :
~ ( in @ SY697 @ SV51 )
| ~ ( ~ ( in @ ( sK12_B @ SV51 ) @ SV51 )
| ~ ! [SY698: $i] :
( ~ ( in @ SY698 @ ( sK12_B @ SV51 ) )
| ~ ( in @ SY698 @ SV51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(352,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK53_Xx @ SX1 @ SX0 )
!= ( sK54_SY633 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK54_SY633 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK54_SY633 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX0 @ ( sK52_SY231 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK52_SY231 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( ( sK51_SY233 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX1 @ ( sK51_SY233 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK49_Xx @ SX1 @ SX0 )
!= ( sK50_SY631 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK50_SY631 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK50_SY631 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX1 @ ( sK48_SY234 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK48_SY234 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( ( sK47_SY230 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX0 @ ( sK47_SY230 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(353,plain,
! [SV52: $i] :
( ( ~ ( ~ ! [SY699: $i,SY700: $i] :
( ~ ( in @ SY700 @ ( setadjoin @ SV52 @ SY699 ) )
| ( SY700 = SV52 )
| ( in @ SY700 @ SY699 ) )
| ~ ~ ( ~ ! [SY701: $i,SY702: $i] :
( ( SY702 != SV52 )
| ( in @ SY702 @ ( setadjoin @ SV52 @ SY701 ) ) )
| ~ ! [SY703: $i,SY704: $i] :
( ~ ( in @ SY704 @ SY703 )
| ( in @ SY704 @ ( setadjoin @ SV52 @ SY703 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(354,plain,
! [SV53: $i] :
( ( ! [SY705: $i] :
( ~ ( ~ ( in @ ( sK28_Xx @ SY705 @ SV53 ) @ SY705 )
| ~ ~ ( in @ ( sK28_Xx @ SY705 @ SV53 ) @ SV53 ) )
| ( in @ SY705 @ ( powerset @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(355,plain,
! [SV54: $i] :
( ( ! [SY706: $i] :
( ( SV54 != SY706 )
| ~ ( ~ ! [SY707: $i,SY708: $i] :
( ( SY707 != SY708 )
| ~ ( in @ SY707 @ SV54 )
| ( in @ SY708 @ SY706 ) )
| ~ ! [SY709: $i,SY710: $i] :
( ( SY709 != SY710 )
| ~ ( in @ SY710 @ SY706 )
| ( in @ SY709 @ SV54 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(356,plain,
! [SV55: $i] :
( ( ! [SY711: $i > $o] :
( ! [SY712: $i] :
( ~ ( in @ SY712 @ SV55 )
| ( SY711 @ SY712 ) )
| ~ ( ~ ( in @ ( sK36_Xx @ SY711 @ SV55 ) @ SV55 )
| ~ ~ ( SY711 @ ( sK36_Xx @ SY711 @ SV55 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(357,plain,
! [SV56: $i > $o] :
( ( ! [SY713: $i] :
( ~ ( ~ ( SV56 @ ( sK40_Xy @ SY713 @ SV56 ) )
| ~ ( ( SY713
!= ( sK40_Xy @ SY713 @ SV56 ) ) ) )
| ~ ( SV56 @ SY713 ) )
| ~ ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) )
| ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(358,plain,
! [SV57: $i] :
( ( ! [SY715: $i] :
( ~ ( ~ ( in @ ( sK24_Xx @ SY715 @ SV57 ) @ SV57 )
| ~ ~ ( in @ ( sK24_Xx @ SY715 @ SV57 ) @ SY715 ) )
| ~ ( ~ ( in @ ( sK23_Xx @ SY715 @ SV57 ) @ SY715 )
| ~ ~ ( in @ ( sK23_Xx @ SY715 @ SV57 ) @ SV57 ) )
| ( SV57 = SY715 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(359,plain,
! [SV58: $i] :
( ( ! [SY716: $i > $o] :
( ~ ( ~ ( SY716 @ ( sK35_Xx @ SY716 @ SV58 ) )
| ~ ( in @ ( sK35_Xx @ SY716 @ SV58 ) @ SV58 ) )
| ! [SY717: $i] :
( ~ ( in @ SY717 @ SV58 )
| ~ ( SY716 @ SY717 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(360,plain,
! [SV59: $i] :
( ( ! [SY718: $i] :
( ~ ( ~ ( in @ ( sK63_Xx @ SY718 @ SV59 ) @ SV59 )
| ~ ~ ( in @ ( sK63_Xx @ SY718 @ SV59 ) @ SY718 ) )
| ( subset @ SV59 @ SY718 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(361,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK5_Xx @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( in @ ( sK5_Xx @ SX1 @ SX0 ) @ SX0 ) )
| ( in @ SX1 @ ( powerset @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ ( powerset @ SX0 ) )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(362,plain,
! [SV60: $i] :
( ( ~ ( ~ ! [SY719: $i > $o,SY720: $i] :
( ~ ( in @ SY720 @ SV60 )
| ~ ( SY719 @ SY720 )
| ( in @ SY720
@ ( dsetconstr @ SV60
@ ^ [SX3: $i] : ( SY719 @ SX3 ) ) ) )
| ~ ! [SY722: $i > $o,SY723: $i] :
( ~ ( in @ SY723 @ SV60 )
| ~ ( in @ SY723
@ ( dsetconstr @ SV60
@ ^ [SX3: $i] : ( SY722 @ SX3 ) ) )
| ( SY722 @ SY723 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(363,plain,
! [SV61: $i > $o] :
( ( ! [SY725: $i > $o] :
( ~ ( ( ( sK58_Xx @ SY725 @ SV61 )
!= ( sK59_SY634 @ SY725 @ SV61 ) )
| ~ ~ ( ~ ( ~ ( SV61 @ ( sK58_Xx @ SY725 @ SV61 ) )
| ~ ( SY725 @ ( sK59_SY634 @ SY725 @ SV61 ) ) )
| ~ ( ( SV61 @ ( sK58_Xx @ SY725 @ SV61 ) )
| ( SY725 @ ( sK59_SY634 @ SY725 @ SV61 ) ) ) ) )
| ! [SY726: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY726 @ SY725 @ SV61 ) )
| ~ ( ( SY726
!= ( sK57_SY255 @ SY726 @ SY725 @ SV61 ) ) ) )
| ~ ( SV61 @ SY726 ) )
| ! [SY727: $i] :
( ~ ( ~ ( SY725 @ ( sK56_SY258 @ SY727 @ SY725 @ SV61 ) )
| ~ ( ( SY727
!= ( sK56_SY258 @ SY727 @ SY725 @ SV61 ) ) ) )
| ~ ( SY725 @ SY727 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SX2: $i] : ( SY725 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(364,plain,
! [SV62: $i] :
( ( ! [SY730: $i] :
( ( SV62 != SY730 )
| ! [SY731: $i > $o,SY732: $i > $o] :
( ~ ( ~ ( in @ ( sK60_Xx @ SY732 @ SY731 @ SY730 @ SV62 ) @ SV62 )
| ~ ~ ( ~ ( in @ ( sK61_SY635 @ SY732 @ SY731 @ SY730 @ SV62 ) @ SY730 )
| ~ ~ ( ( ( sK60_Xx @ SY732 @ SY731 @ SY730 @ SV62 )
!= ( sK61_SY635 @ SY732 @ SY731 @ SY730 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SY731 @ ( sK60_Xx @ SY732 @ SY731 @ SY730 @ SV62 ) )
| ~ ( SY732 @ ( sK61_SY635 @ SY732 @ SY731 @ SY730 @ SV62 ) ) )
| ~ ( ( SY731 @ ( sK60_Xx @ SY732 @ SY731 @ SY730 @ SV62 ) )
| ( SY732 @ ( sK61_SY635 @ SY732 @ SY731 @ SY730 @ SV62 ) ) ) ) ) ) )
| ( ( dsetconstr @ SV62
@ ^ [SX4: $i] : ( SY731 @ SX4 ) )
= ( dsetconstr @ SY730
@ ^ [SX4: $i] : ( SY732 @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(365,plain,
! [SV63: $i > $o] :
( ( ! [SY735: $i] :
( ~ ( ~ ( SV63 @ ( sK46_SY222 @ SY735 @ SV63 ) )
| ~ ( ( SY735
!= ( sK46_SY222 @ SY735 @ SV63 ) ) ) )
| ~ ( SV63 @ SY735 ) )
| ! [SY736: $i] :
( ~ ( SV63 @ SY736 )
| ! [SY737: $i] :
( ~ ( SV63 @ SY737 )
| ( SY736 = SY737 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(366,plain,
! [SV64: $i > $o] :
( ( ! [SY738: $i] :
~ ( ~ ( ( ( sK45_Xy @ SY738 @ SV64 )
!= SY738 )
| ~ ( SV64 @ ( sK45_Xy @ SY738 @ SV64 ) ) )
| ~ ( ( ( sK45_Xy @ SY738 @ SV64 )
= SY738 )
| ( SV64 @ ( sK45_Xy @ SY738 @ SV64 ) ) ) )
| ~ ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) )
| ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(367,plain,
! [SV65: $i] :
( ( ! [SY740: $i > $o] :
( ~ ( ~ ( in @ ( sK34_Xx @ SY740 @ SV65 ) @ SV65 )
| ~ ( SY740 @ ( sK34_Xx @ SY740 @ SV65 ) ) )
| ! [SY741: $i] :
( ~ ( SY740 @ SY741 )
| ~ ( in @ SY741 @ SV65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(368,plain,
! [SV66: $i > $o] :
( ( ! [SY742: $i] :
( ~ ( ~ ( SV66 @ ( sK31_SY140 @ SY742 @ SV66 ) )
| ~ ( ( SY742
!= ( sK31_SY140 @ SY742 @ SV66 ) ) ) )
| ~ ( SV66 @ SY742 ) )
| ~ ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) )
| ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(369,plain,
( ( ~ ( subset @ sK1_A @ sK3_SY591 )
| ~ ~ ( subset @ sK1_A @ ( setadjoin @ sK2_SY589 @ sK3_SY591 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(370,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( in @ SX1 @ SX2 )
| ~ ( in @ SX2 @ SX0 ) )
| ( in @ SX1 @ ( setunion @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ ( setunion @ SX0 ) )
| ~ ( ~ ( in @ SX1 @ ( sK6_B @ SX1 @ SX0 ) )
| ~ ( in @ ( sK6_B @ SX1 @ SX0 ) @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(371,plain,
! [SV67: $i] :
( ( ! [SY745: $i] :
( ~ ( in @ SY745 @ ( setunion @ SV67 ) )
| ! [SY746: $o] :
( ~ ( ~ ( in @ SY745 @ ( sK29_B @ SY746 @ SY745 @ SV67 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ SY746 @ SY745 @ SV67 ) @ SV67 )
| ~ ~ SY746 ) )
| SY746 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(372,plain,
! [SV68: $i > $o] :
( ( ! [SY747: $i] :
~ ( SV68 @ SY747 )
| ~ ( ~ ( SV68 @ ( sK42_Xx @ SV68 ) )
| ~ ~ ( ~ ( SV68 @ ( sK43_SY628 @ SV68 ) )
| ~ ( ( ( sK42_Xx @ SV68 )
!= ( sK43_SY628 @ SV68 ) ) ) ) )
| ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(373,plain,
! [SV69: $i > $i > $o] :
( ( ! [SY749: $i] :
( ~ ( ~ ( in @ ( sK10_SY22 @ SY749 @ SV69 ) @ SY749 )
| ~ ! [SY750: $i] :
( ~ ( ~ ( SV69 @ ( sK10_SY22 @ SY749 @ SV69 ) @ ( sK11_SY597 @ SY750 @ SY749 @ SV69 ) )
| ~ ( ( SY750
!= ( sK11_SY597 @ SY750 @ SY749 @ SV69 ) ) ) )
| ~ ( SV69 @ ( sK10_SY22 @ SY749 @ SV69 ) @ SY750 ) ) )
| ~ ( ~ ! [SY751: $i] :
( ! [SY752: $i] :
( ~ ( SV69 @ SY752 @ SY751 )
| ~ ( in @ SY752 @ SY749 ) )
| ( in @ SY751 @ ( sK8_B @ SY749 @ SV69 ) ) )
| ~ ! [SY753: $i] :
( ~ ( in @ SY753 @ ( sK8_B @ SY749 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY753 @ SY749 @ SV69 ) @ SY753 )
| ~ ( in @ ( sK9_Xy @ SY753 @ SY749 @ SV69 ) @ SY749 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(374,plain,
! [SV70: $i] :
( ( ! [SY754: $i] :
( ~ ( ~ ( ~ ( in @ ( sK4_Xx @ SY754 @ SV70 ) @ SV70 )
| ~ ( in @ ( sK4_Xx @ SY754 @ SV70 ) @ SY754 ) )
| ~ ( ( in @ ( sK4_Xx @ SY754 @ SV70 ) @ SV70 )
| ( in @ ( sK4_Xx @ SY754 @ SV70 ) @ SY754 ) ) )
| ( SV70 = SY754 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(375,plain,
! [SV71: $i > $o] :
( ( ! [SY755: $i] :
( ~ ( ~ ( SV71 @ ( sK55_SY246 @ SY755 @ SV71 ) )
| ~ ( ( SY755
!= ( sK55_SY246 @ SY755 @ SV71 ) ) ) )
| ~ ( SV71 @ SY755 ) )
| ! [SY756: $i] :
( ~ ( SV71 @ SY756 )
| ! [SY757: $i] :
( ~ ( SV71 @ SY757 )
| ( SY756 = SY757 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(376,plain,
! [SV72: $i] :
( ( ~ ( ~ ~ ( ~ ( in @ ( sK7_Xx @ SV72 ) @ omega )
| ~ ( in @ ( sK7_Xx @ SV72 ) @ SV72 ) )
| ~ ~ ( in @ ( setadjoin @ ( sK7_Xx @ SV72 ) @ ( sK7_Xx @ SV72 ) ) @ SV72 ) )
| ~ ( in @ emptyset @ SV72 )
| ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(377,plain,
! [SV73: $i] :
( ( ! [SY759: $i > $o] :
( ~ ( ~ ( SY759 @ ( sK37_Xx @ SY759 @ SV73 ) )
| ~ ( in @ ( sK37_Xx @ SY759 @ SV73 ) @ SV73 ) )
| ! [SY760: $i] :
( ~ ( in @ SY760 @ SV73 )
| ~ ( SY759 @ SY760 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(378,plain,
! [SV74: $i] :
( ( ! [SY761: $i,SY762: $i] :
( ~ ( in @ SY762 @ ( setadjoin @ SV74 @ SY761 ) )
| ~ ( ~ ~ ( ~ ( ( SY762 = SV74 )
| ( in @ SY762 @ SY761 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SY762 = SV74 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
| ~ ~ ( ~ ! [SX3: $o] :
( ~ SX3
| ( in @ SY762 @ SY761 )
| SX3 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(379,plain,
! [SV75: $i] :
( ( ~ ( ~ ! [SY767: $i] :
( ~ ( ~ ( in @ ( sK17_Xx @ SY767 @ SV75 ) @ SY767 )
| ~ ~ ( in @ ( sK17_Xx @ SY767 @ SV75 ) @ SV75 ) )
| ! [SX2: $i] :
~ ( in @ SX2 @ SY767 )
| ~ ( ~ ! [SY769: $i] :
( ~ ( in @ SY769 @ ( sK13_B @ SV75 ) )
| ! [SY770: $i] :
( ~ ( in @ SY770 @ SY769 )
| ( in @ SY770 @ ( sK15_SY602 @ SY767 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SY767 @ SV75 ) @ SY769 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SY767 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SY767 @ SV75 ) @ SY767 ) )
| ~ ! [SY771: $i] :
( ~ ( in @ SY771 @ ( sK15_SY602 @ SY767 @ SV75 ) )
| ~ ( in @ SY771 @ SY767 ) ) ) ) )
| ~ ~ ( ~ ! [SY772: $i,SY773: $i] :
( ~ ( in @ SY772 @ ( sK13_B @ SV75 ) )
| ~ ( in @ SY773 @ ( sK13_B @ SV75 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY772 )
| ( in @ SX3 @ SY773 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY773 )
| ( in @ SX3 @ SY772 ) ) )
| ~ ~ ( ~ ! [SY776: $i] :
( ~ ( in @ SY776 @ ( sK13_B @ SV75 ) )
| ! [SY777: $i] :
( ~ ( in @ SY777 @ SY776 )
| ( in @ SY777 @ SV75 ) ) )
| ~ ! [SY778: $i,SY779: $i] :
( ~ ( in @ SY778 @ SV75 )
| ~ ( in @ SY779 @ SV75 )
| ~ ( ~ ( in @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ~ ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) )
| ~ ( ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) ) ) )
| ( SY778 = SY779 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(380,plain,
! [SV76: $i > $o] :
( ( ! [SY780: $i] :
( ~ ( ~ ( SV76 @ ( sK22_SY84 @ SY780 @ SV76 ) )
| ~ ( ( SY780
!= ( sK22_SY84 @ SY780 @ SV76 ) ) ) )
| ~ ( SV76 @ SY780 ) )
| ( SV76 @ ( sK21_Xx @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(381,plain,
! [SV77: $i > $o] :
( ( ! [SY781: $i] :
( ~ ( ~ ( SV77 @ ( sK20_SY72 @ SY781 @ SV77 ) )
| ~ ( ( SY781
!= ( sK20_SY72 @ SY781 @ SV77 ) ) ) )
| ~ ( SV77 @ SY781 ) )
| ~ ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) )
| ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(382,plain,
! [SV78: $i > $o] :
( ( ! [SY783: $i] :
( ~ ( ~ ( SV78 @ ( sK18_SY55 @ SY783 @ SV78 ) )
| ~ ( ( SY783
!= ( sK18_SY55 @ SY783 @ SV78 ) ) ) )
| ~ ( SV78 @ SY783 ) )
| ( SV78
@ ( descr
@ ^ [SY784: $i] : ( SV78 @ SY784 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(383,plain,
! [SV79: $i] :
( ( ! [SY785: $i > $o] :
( ! [SY786: $i] :
( ~ ( in @ SY786 @ SV79 )
| ( SY785 @ SY786 ) )
| ~ ( ~ ( in @ ( sK33_Xx @ SY785 @ SV79 ) @ SV79 )
| ~ ~ ( SY785 @ ( sK33_Xx @ SY785 @ SV79 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(384,plain,
! [SV80: $i] :
( ( ! [SY787: $i] :
( ~ ( ~ ( in @ ( sK62_Xx @ SY787 @ SV80 ) @ SV80 )
| ~ ~ ( in @ ( sK62_Xx @ SY787 @ SV80 ) @ SY787 ) )
| ( subset @ SV80 @ SY787 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(385,plain,
! [SV1: $i,SV81: $i] :
( ( subset @ SV81 @ ( setadjoin @ SV1 @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(386,plain,
! [SV82: $i,SV2: $i] :
( ( ~ ( subset @ SV2 @ SV82 )
| ! [SY788: $i] :
( ~ ( subset @ SV82 @ SY788 )
| ( subset @ SV2 @ SY788 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(387,plain,
! [SV83: $i,SV4: $i] :
( ( ! [SY789: $i] :
( ~ ( in @ SY789 @ SV4 )
| ( in @ SY789 @ SV83 )
| ( SV4 != SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(388,plain,
! [SV84: $i,SV5: $i] :
( ( ( subset @ SV5 @ SV84 )
| ( SV5 != SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(389,plain,
! [SV85: $i,SV6: $i] :
( ( ! [SY790: $i] :
( ~ ( in @ SY790 @ SV6 )
| ( in @ SY790 @ SV85 )
| ~ ( subset @ SV6 @ SV85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(390,plain,
! [SV86: $i,SV7: $i] :
( ( ~ ( subset @ SV7 @ SV86 )
| ! [SY791: $i] :
( ( in @ SY791 @ SV86 )
| ~ ( in @ SY791 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(391,plain,
! [SV87: $i,SV8: $i] :
( ( ~ ( subset @ SV8 @ SV87 )
| ! [SY792: $i] :
( ~ ( in @ SY792 @ SV8 )
| ( in @ SY792 @ SV87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(392,plain,
! [SV88: $i,SV10: $i] :
( ( ( SV10 != SV88 )
| ( subset @ SV10 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(393,plain,
! [SV89: $i,SV11: $i] :
( ( ( SV11 != SV89 )
| ( subset @ SV89 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(394,plain,
! [SV90: $i,SV12: $i] :
( ( ( SV12 != SV90 )
| ( ( setunion @ SV12 )
= ( setunion @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(395,plain,
! [SV91: $i,SV13: $i] :
( ( ( SV13 != SV91 )
| ( ( powerset @ SV13 )
= ( powerset @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(396,plain,
! [SV92: $i,SV14: $i] :
( ( ( SV14 != SV92 )
| ! [SY793: $i,SY794: $i] :
( ( SY793 != SY794 )
| ( ( setadjoin @ SV14 @ SY793 )
= ( setadjoin @ SV92 @ SY794 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(397,plain,
! [SV93: $i,SV15: $i] :
( ( ( SV15 != SV93 )
| ! [SY795: $i,SY796: $i] :
( ( SY795 != SY796 )
| ~ ( in @ SY795 @ SV15 )
| ( in @ SY796 @ SV93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(398,plain,
! [SV16: $o] :
( ( ( ~ SV16 ) = $true )
| ( ( set2prop @ ( prop2set @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(399,plain,
( ( ( ~ $true ) = $true )
| ( ( set2prop @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(400,plain,
( ( ( ~ $false ) = $true )
| ( ( set2prop @ ( prop2set @ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(401,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $true )
| ( ( in @ emptyset @ ( prop2set @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(402,plain,
( ( ( ~ $true ) = $true )
| ( ( in @ emptyset @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(403,plain,
( ( ( ~ $false ) = $true )
| ( ( in @ emptyset @ ( prop2set @ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(404,plain,
! [SV18: $i > $o,SV94: $i] :
( ( ~ ( in @ SV94 @ emptyset )
| ( SV18 @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(405,plain,
! [SV19: $i,SV95: $i > $o] :
( ( ! [SY797: $i] :
( ~ ( SV95 @ SY797 )
| ~ ( in @ SY797 @ SV19 ) )
| ( ( dsetconstr @ SV19
@ ^ [SY798: $i] : ( SV95 @ SY798 ) )
!= emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(406,plain,
! [SV20: $i,SV96: $i] :
( ( in @ SV96 @ ( setadjoin @ SV20 @ ( setadjoin @ SV96 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(407,plain,
! [SV97: $i,SV21: $i] :
( ( in @ SV21 @ ( setadjoin @ SV21 @ ( setadjoin @ SV97 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(408,plain,
! [SV98: $i,SV22: $i] :
( ( ! [SY799: $i] :
( ~ ( in @ SY799 @ ( setadjoin @ SV22 @ ( setadjoin @ SV98 @ emptyset ) ) )
| ( SY799 = SV22 )
| ( SY799 = SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(409,plain,
! [SV99: $i,SV23: $i] :
( ( ~ ( in @ SV23 @ ( setadjoin @ SV99 @ emptyset ) )
| ( in @ SV99 @ ( setadjoin @ SV23 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(410,plain,
! [SV100: $i,SV24: $i] :
( ( ( SV24 != SV100 )
| ( in @ SV24 @ ( setadjoin @ SV100 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(411,plain,
! [SV101: $i,SV25: $i] :
( ( ( SV25 = SV101 )
| ~ ( in @ SV101 @ ( setadjoin @ SV25 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(412,plain,
! [SV102: $i,SV26: $i] :
( ( ~ ( in @ SV26 @ ( setadjoin @ SV102 @ emptyset ) )
| ( SV26 = SV102 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(413,plain,
! [SV27: $i] :
( ( ( SV27 = emptyset )
= $true )
| ( ( in @ ( sK32_Xx @ SV27 ) @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(414,plain,
! [SV28: $i,SV103: $i] :
( ( ~ ( in @ SV103 @ SV28 )
| ( in @ SV103 @ ( powerset @ ( setunion @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(415,plain,
! [SV29: $i,SV104: $i] :
( ( ! [SY800: $i] :
( ~ ( in @ SV104 @ SY800 )
| ~ ( in @ SY800 @ SV29 )
| ( in @ SV104 @ ( setunion @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(416,plain,
! [SV30: $i,SV105: $i] :
( ( ~ ( in @ SV105 @ ( powerset @ SV30 ) )
| ! [SY801: $i] :
( ~ ( in @ SY801 @ SV105 )
| ( in @ SY801 @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(417,plain,
! [SV106: $i,SV34: $i] :
( ( ! [SY802: $i] :
( ~ ( in @ SY802 @ ( setadjoin @ SV34 @ SV106 ) )
| ( SY802 = SV34 )
| ( in @ SY802 @ SV106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(418,plain,
! [SV35: $i,SV107: $i] :
( ( ! [SY803: $i] :
( ~ ( in @ SY803 @ SV107 )
| ( in @ SY803 @ ( setadjoin @ SV35 @ SV107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(419,plain,
! [SV108: $i,SV36: $i] :
( ( in @ SV36 @ ( setadjoin @ SV36 @ SV108 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(420,plain,
! [SV37: $i] :
( ( ( ! [SY681: $i] :
~ ( in @ SY681 @ SV37 ) )
= $true )
| ( ( SV37 != emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(421,plain,
! [SV109: $i > $o,SV38: $i] :
( ( ! [SY804: $i] :
( ~ ( in @ SY804 @ SV38 )
| ~ ( SV109 @ SY804 )
| ( ( dsetconstr @ SV38
@ ^ [SY805: $i] : ( SV109 @ SY805 ) )
!= emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(422,plain,
! [SV39: $i] :
( ( ( SV39 = emptyset )
= $true )
| ( ( in @ ( sK27_Xx @ SV39 ) @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(423,plain,
! [SV40: $i] :
( ( ( in @ ( sK26_Xx @ SV40 ) @ SV40 )
= $true )
| ( ( SV40 = emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(424,plain,
! [SV41: $i] :
( ( ( in @ ( sK25_Xx @ SV41 ) @ SV41 )
= $true )
| ( ( SV41 = emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(425,plain,
! [SV42: $i] :
( ( in @ SV42 @ emptyset )
= $false ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(426,plain,
! [SV43: $i] :
( ( in @ SV43 @ emptyset )
= $false ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(427,plain,
! [SV110: $i] :
( ( ( ~ ( in @ SV110 @ emptyset ) )
= $true )
| ( ( ! [Xphi: $o] : Xphi )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(428,plain,
! [SV44: $o] :
( ( ( ! [SY685: $i] :
~ ( in @ SY685 @ ( prop2set @ SV44 ) ) )
= $true )
| ( SV44 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(429,plain,
( ( ( ! [SX0: $i] :
~ ( in @ SX0 @ ( prop2set @ $true ) ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(430,plain,
( ( ( ! [SX0: $i] :
~ ( in @ SX0 @ ( prop2set @ $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(431,plain,
! [SV111: $i > $o,SV45: $i] :
( ( ! [SY806: $i] :
( ~ ( in @ SY806
@ ( dsetconstr @ SV45
@ ^ [SY807: $i] : ( SV111 @ SY807 ) ) )
| ( SV111 @ SY806 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(432,plain,
! [SV112: $i > $o,SV46: $i] :
( ( ! [SY808: $i] :
( ~ ( in @ SY808
@ ( dsetconstr @ SV46
@ ^ [SY809: $i] : ( SV112 @ SY809 ) ) )
| ( in @ SY808 @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(433,plain,
! [SV113: $i > $o,SV47: $i] :
( ( ! [SY810: $i] :
( ~ ( in @ SY810 @ SV47 )
| ~ ( SV113 @ SY810 )
| ( in @ SY810
@ ( dsetconstr @ SV47
@ ^ [SY811: $i] : ( SV113 @ SY811 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(434,plain,
! [SV48: $i] :
( ( ( ~ ( in @ SV48 @ omega ) )
= $true )
| ( ( in @ ( setadjoin @ SV48 @ SV48 ) @ omega )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(435,plain,
! [SV49: $i] :
( ( in @ SV49 @ emptyset )
= $false ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(436,plain,
! [SV114: $i > $o,SV50: $i] :
( ( ! [SY812: $i] :
( ~ ( in @ SY812 @ SV50 )
| ( SV114 @ SY812 ) )
| ~ ( ~ ( in @ ( sK38_Xx @ SV114 @ SV50 ) @ SV50 )
| ~ ~ ( SV114 @ ( sK38_Xx @ SV114 @ SV50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(437,plain,
! [SV51: $i] :
( ( ( ! [SY697: $i] :
~ ( in @ SY697 @ SV51 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK12_B @ SV51 ) @ SV51 )
| ~ ! [SY698: $i] :
( ~ ( in @ SY698 @ ( sK12_B @ SV51 ) )
| ~ ( in @ SY698 @ SV51 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(438,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK53_Xx @ SX1 @ SX0 )
!= ( sK54_SY633 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK54_SY633 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK54_SY633 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX0 @ ( sK52_SY231 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK52_SY231 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( ( sK51_SY233 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX1 @ ( sK51_SY233 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(439,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK49_Xx @ SX1 @ SX0 )
!= ( sK50_SY631 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK50_SY631 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK50_SY631 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX1 @ ( sK48_SY234 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK48_SY234 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( ( sK47_SY230 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX0 @ ( sK47_SY230 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(440,plain,
! [SV52: $i] :
( ( ~ ! [SY699: $i,SY700: $i] :
( ~ ( in @ SY700 @ ( setadjoin @ SV52 @ SY699 ) )
| ( SY700 = SV52 )
| ( in @ SY700 @ SY699 ) )
| ~ ~ ( ~ ! [SY701: $i,SY702: $i] :
( ( SY702 != SV52 )
| ( in @ SY702 @ ( setadjoin @ SV52 @ SY701 ) ) )
| ~ ! [SY703: $i,SY704: $i] :
( ~ ( in @ SY704 @ SY703 )
| ( in @ SY704 @ ( setadjoin @ SV52 @ SY703 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(441,plain,
! [SV53: $i,SV115: $i] :
( ( ~ ( ~ ( in @ ( sK28_Xx @ SV115 @ SV53 ) @ SV115 )
| ~ ~ ( in @ ( sK28_Xx @ SV115 @ SV53 ) @ SV53 ) )
| ( in @ SV115 @ ( powerset @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(442,plain,
! [SV116: $i,SV54: $i] :
( ( ( SV54 != SV116 )
| ~ ( ~ ! [SY813: $i,SY814: $i] :
( ( SY813 != SY814 )
| ~ ( in @ SY813 @ SV54 )
| ( in @ SY814 @ SV116 ) )
| ~ ! [SY815: $i,SY816: $i] :
( ( SY815 != SY816 )
| ~ ( in @ SY816 @ SV116 )
| ( in @ SY815 @ SV54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(443,plain,
! [SV117: $i > $o,SV55: $i] :
( ( ! [SY817: $i] :
( ~ ( in @ SY817 @ SV55 )
| ( SV117 @ SY817 ) )
| ~ ( ~ ( in @ ( sK36_Xx @ SV117 @ SV55 ) @ SV55 )
| ~ ~ ( SV117 @ ( sK36_Xx @ SV117 @ SV55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(444,plain,
! [SV56: $i > $o] :
( ( ( ! [SY713: $i] :
( ~ ( ~ ( SV56 @ ( sK40_Xy @ SY713 @ SV56 ) )
| ~ ( ( SY713
!= ( sK40_Xy @ SY713 @ SV56 ) ) ) )
| ~ ( SV56 @ SY713 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) )
| ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(445,plain,
! [SV57: $i,SV118: $i] :
( ( ~ ( ~ ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV57 )
| ~ ~ ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV118 ) )
| ~ ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 )
| ~ ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) )
| ( SV57 = SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(446,plain,
! [SV58: $i,SV119: $i > $o] :
( ( ~ ( ~ ( SV119 @ ( sK35_Xx @ SV119 @ SV58 ) )
| ~ ( in @ ( sK35_Xx @ SV119 @ SV58 ) @ SV58 ) )
| ! [SY818: $i] :
( ~ ( in @ SY818 @ SV58 )
| ~ ( SV119 @ SY818 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(447,plain,
! [SV59: $i,SV120: $i] :
( ( ~ ( ~ ( in @ ( sK63_Xx @ SV120 @ SV59 ) @ SV59 )
| ~ ~ ( in @ ( sK63_Xx @ SV120 @ SV59 ) @ SV120 ) )
| ( subset @ SV59 @ SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(448,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK5_Xx @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( in @ ( sK5_Xx @ SX1 @ SX0 ) @ SX0 ) )
| ( in @ SX1 @ ( powerset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(449,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ ( powerset @ SX0 ) )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(450,plain,
! [SV60: $i] :
( ( ~ ! [SY719: $i > $o,SY720: $i] :
( ~ ( in @ SY720 @ SV60 )
| ~ ( SY719 @ SY720 )
| ( in @ SY720
@ ( dsetconstr @ SV60
@ ^ [SX3: $i] : ( SY719 @ SX3 ) ) ) )
| ~ ! [SY722: $i > $o,SY723: $i] :
( ~ ( in @ SY723 @ SV60 )
| ~ ( in @ SY723
@ ( dsetconstr @ SV60
@ ^ [SX3: $i] : ( SY722 @ SX3 ) ) )
| ( SY722 @ SY723 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(451,plain,
! [SV61: $i > $o,SV121: $i > $o] :
( ( ~ ( ( ( sK58_Xx @ SV121 @ SV61 )
!= ( sK59_SY634 @ SV121 @ SV61 ) )
| ~ ~ ( ~ ( ~ ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ~ ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) )
| ~ ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) ) ) )
| ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(452,plain,
! [SV122: $i,SV62: $i] :
( ( ( SV62 != SV122 )
| ! [SY823: $i > $o,SY824: $i > $o] :
( ~ ( ~ ( in @ ( sK60_Xx @ SY824 @ SY823 @ SV122 @ SV62 ) @ SV62 )
| ~ ~ ( ~ ( in @ ( sK61_SY635 @ SY824 @ SY823 @ SV122 @ SV62 ) @ SV122 )
| ~ ~ ( ( ( sK60_Xx @ SY824 @ SY823 @ SV122 @ SV62 )
!= ( sK61_SY635 @ SY824 @ SY823 @ SV122 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SY823 @ ( sK60_Xx @ SY824 @ SY823 @ SV122 @ SV62 ) )
| ~ ( SY824 @ ( sK61_SY635 @ SY824 @ SY823 @ SV122 @ SV62 ) ) )
| ~ ( ( SY823 @ ( sK60_Xx @ SY824 @ SY823 @ SV122 @ SV62 ) )
| ( SY824 @ ( sK61_SY635 @ SY824 @ SY823 @ SV122 @ SV62 ) ) ) ) ) ) )
| ( ( dsetconstr @ SV62
@ ^ [SX4: $i] : ( SY823 @ SX4 ) )
= ( dsetconstr @ SV122
@ ^ [SX4: $i] : ( SY824 @ SX4 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(453,plain,
! [SV63: $i > $o] :
( ( ( ! [SY735: $i] :
( ~ ( ~ ( SV63 @ ( sK46_SY222 @ SY735 @ SV63 ) )
| ~ ( ( SY735
!= ( sK46_SY222 @ SY735 @ SV63 ) ) ) )
| ~ ( SV63 @ SY735 ) ) )
= $true )
| ( ( ! [SY736: $i] :
( ~ ( SV63 @ SY736 )
| ! [SY737: $i] :
( ~ ( SV63 @ SY737 )
| ( SY736 = SY737 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(454,plain,
! [SV64: $i > $o] :
( ( ( ! [SY738: $i] :
~ ( ~ ( ( ( sK45_Xy @ SY738 @ SV64 )
!= SY738 )
| ~ ( SV64 @ ( sK45_Xy @ SY738 @ SV64 ) ) )
| ~ ( ( ( sK45_Xy @ SY738 @ SV64 )
= SY738 )
| ( SV64 @ ( sK45_Xy @ SY738 @ SV64 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) )
| ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(455,plain,
! [SV65: $i,SV123: $i > $o] :
( ( ~ ( ~ ( in @ ( sK34_Xx @ SV123 @ SV65 ) @ SV65 )
| ~ ( SV123 @ ( sK34_Xx @ SV123 @ SV65 ) ) )
| ! [SY827: $i] :
( ~ ( SV123 @ SY827 )
| ~ ( in @ SY827 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(456,plain,
! [SV66: $i > $o] :
( ( ( ! [SY742: $i] :
( ~ ( ~ ( SV66 @ ( sK31_SY140 @ SY742 @ SV66 ) )
| ~ ( ( SY742
!= ( sK31_SY140 @ SY742 @ SV66 ) ) ) )
| ~ ( SV66 @ SY742 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) )
| ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(457,plain,
( ( ~ ( subset @ sK1_A @ sK3_SY591 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(458,plain,
( ( ~ ~ ( subset @ sK1_A @ ( setadjoin @ sK2_SY589 @ sK3_SY591 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(459,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( in @ SX1 @ SX2 )
| ~ ( in @ SX2 @ SX0 ) )
| ( in @ SX1 @ ( setunion @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(460,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ ( setunion @ SX0 ) )
| ~ ( ~ ( in @ SX1 @ ( sK6_B @ SX1 @ SX0 ) )
| ~ ( in @ ( sK6_B @ SX1 @ SX0 ) @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(461,plain,
! [SV67: $i,SV124: $i] :
( ( ~ ( in @ SV124 @ ( setunion @ SV67 ) )
| ! [SY828: $o] :
( ~ ( ~ ( in @ SV124 @ ( sK29_B @ SY828 @ SV124 @ SV67 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ SY828 @ SV124 @ SV67 ) @ SV67 )
| ~ ~ SY828 ) )
| SY828 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(462,plain,
! [SV68: $i > $o] :
( ( ( ! [SY747: $i] :
~ ( SV68 @ SY747 ) )
= $true )
| ( ( ~ ( ~ ( SV68 @ ( sK42_Xx @ SV68 ) )
| ~ ~ ( ~ ( SV68 @ ( sK43_SY628 @ SV68 ) )
| ~ ( ( ( sK42_Xx @ SV68 )
!= ( sK43_SY628 @ SV68 ) ) ) ) )
| ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(463,plain,
! [SV69: $i > $i > $o,SV125: $i] :
( ( ~ ( ~ ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
| ~ ! [SY829: $i] :
( ~ ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SY829 @ SV125 @ SV69 ) )
| ~ ( ( SY829
!= ( sK11_SY597 @ SY829 @ SV125 @ SV69 ) ) ) )
| ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SY829 ) ) )
| ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(464,plain,
! [SV70: $i,SV126: $i] :
( ( ~ ( ~ ( ~ ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV70 )
| ~ ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV126 ) )
| ~ ( ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV70 )
| ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV126 ) ) )
| ( SV70 = SV126 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(465,plain,
! [SV71: $i > $o] :
( ( ( ! [SY755: $i] :
( ~ ( ~ ( SV71 @ ( sK55_SY246 @ SY755 @ SV71 ) )
| ~ ( ( SY755
!= ( sK55_SY246 @ SY755 @ SV71 ) ) ) )
| ~ ( SV71 @ SY755 ) ) )
= $true )
| ( ( ! [SY756: $i] :
( ~ ( SV71 @ SY756 )
| ! [SY757: $i] :
( ~ ( SV71 @ SY757 )
| ( SY756 = SY757 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(466,plain,
! [SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK7_Xx @ SV72 ) @ omega )
| ~ ( in @ ( sK7_Xx @ SV72 ) @ SV72 ) )
| ~ ~ ( in @ ( setadjoin @ ( sK7_Xx @ SV72 ) @ ( sK7_Xx @ SV72 ) ) @ SV72 ) )
| ~ ( in @ emptyset @ SV72 ) )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(467,plain,
! [SV73: $i,SV127: $i > $o] :
( ( ~ ( ~ ( SV127 @ ( sK37_Xx @ SV127 @ SV73 ) )
| ~ ( in @ ( sK37_Xx @ SV127 @ SV73 ) @ SV73 ) )
| ! [SY833: $i] :
( ~ ( in @ SY833 @ SV73 )
| ~ ( SV127 @ SY833 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(468,plain,
! [SV128: $i,SV74: $i] :
( ( ! [SY834: $i] :
( ~ ( in @ SY834 @ ( setadjoin @ SV74 @ SV128 ) )
| ~ ( ~ ~ ( ~ ( ( SY834 = SV74 )
| ( in @ SY834 @ SV128 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SY834 = SV74 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
| ~ ~ ( ~ ! [SY837: $o] :
( ~ SY837
| ( in @ SY834 @ SV128 )
| SY837 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(469,plain,
! [SV75: $i] :
( ( ~ ! [SY767: $i] :
( ~ ( ~ ( in @ ( sK17_Xx @ SY767 @ SV75 ) @ SY767 )
| ~ ~ ( in @ ( sK17_Xx @ SY767 @ SV75 ) @ SV75 ) )
| ! [SX2: $i] :
~ ( in @ SX2 @ SY767 )
| ~ ( ~ ! [SY769: $i] :
( ~ ( in @ SY769 @ ( sK13_B @ SV75 ) )
| ! [SY770: $i] :
( ~ ( in @ SY770 @ SY769 )
| ( in @ SY770 @ ( sK15_SY602 @ SY767 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SY767 @ SV75 ) @ SY769 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SY767 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SY767 @ SV75 ) @ SY767 ) )
| ~ ! [SY771: $i] :
( ~ ( in @ SY771 @ ( sK15_SY602 @ SY767 @ SV75 ) )
| ~ ( in @ SY771 @ SY767 ) ) ) ) )
| ~ ~ ( ~ ! [SY772: $i,SY773: $i] :
( ~ ( in @ SY772 @ ( sK13_B @ SV75 ) )
| ~ ( in @ SY773 @ ( sK13_B @ SV75 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY772 )
| ( in @ SX3 @ SY773 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY773 )
| ( in @ SX3 @ SY772 ) ) )
| ~ ~ ( ~ ! [SY776: $i] :
( ~ ( in @ SY776 @ ( sK13_B @ SV75 ) )
| ! [SY777: $i] :
( ~ ( in @ SY777 @ SY776 )
| ( in @ SY777 @ SV75 ) ) )
| ~ ! [SY778: $i,SY779: $i] :
( ~ ( in @ SY778 @ SV75 )
| ~ ( in @ SY779 @ SV75 )
| ~ ( ~ ( in @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ~ ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) )
| ~ ( ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) ) ) )
| ( SY778 = SY779 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(470,plain,
! [SV76: $i > $o] :
( ( ( ! [SY780: $i] :
( ~ ( ~ ( SV76 @ ( sK22_SY84 @ SY780 @ SV76 ) )
| ~ ( ( SY780
!= ( sK22_SY84 @ SY780 @ SV76 ) ) ) )
| ~ ( SV76 @ SY780 ) ) )
= $true )
| ( ( SV76 @ ( sK21_Xx @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(471,plain,
! [SV77: $i > $o] :
( ( ( ! [SY781: $i] :
( ~ ( ~ ( SV77 @ ( sK20_SY72 @ SY781 @ SV77 ) )
| ~ ( ( SY781
!= ( sK20_SY72 @ SY781 @ SV77 ) ) ) )
| ~ ( SV77 @ SY781 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) )
| ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(472,plain,
! [SV78: $i > $o] :
( ( ( ! [SY783: $i] :
( ~ ( ~ ( SV78 @ ( sK18_SY55 @ SY783 @ SV78 ) )
| ~ ( ( SY783
!= ( sK18_SY55 @ SY783 @ SV78 ) ) ) )
| ~ ( SV78 @ SY783 ) ) )
= $true )
| ( ( SV78
@ ( descr
@ ^ [SY784: $i] : ( SV78 @ SY784 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(473,plain,
! [SV129: $i > $o,SV79: $i] :
( ( ! [SY839: $i] :
( ~ ( in @ SY839 @ SV79 )
| ( SV129 @ SY839 ) )
| ~ ( ~ ( in @ ( sK33_Xx @ SV129 @ SV79 ) @ SV79 )
| ~ ~ ( SV129 @ ( sK33_Xx @ SV129 @ SV79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(474,plain,
! [SV80: $i,SV130: $i] :
( ( ~ ( ~ ( in @ ( sK62_Xx @ SV130 @ SV80 ) @ SV80 )
| ~ ~ ( in @ ( sK62_Xx @ SV130 @ SV80 ) @ SV130 ) )
| ( subset @ SV80 @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(475,plain,
! [SV82: $i,SV2: $i] :
( ( ( ~ ( subset @ SV2 @ SV82 ) )
= $true )
| ( ( ! [SY788: $i] :
( ~ ( subset @ SV82 @ SY788 )
| ( subset @ SV2 @ SY788 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(476,plain,
! [SV83: $i,SV4: $i,SV131: $i] :
( ( ~ ( in @ SV131 @ SV4 )
| ( in @ SV131 @ SV83 )
| ( SV4 != SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(477,plain,
! [SV84: $i,SV5: $i] :
( ( ( subset @ SV5 @ SV84 )
= $true )
| ( ( SV5 != SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(478,plain,
! [SV85: $i,SV6: $i,SV132: $i] :
( ( ~ ( in @ SV132 @ SV6 )
| ( in @ SV132 @ SV85 )
| ~ ( subset @ SV6 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(479,plain,
! [SV86: $i,SV7: $i] :
( ( ( ~ ( subset @ SV7 @ SV86 ) )
= $true )
| ( ( ! [SY791: $i] :
( ( in @ SY791 @ SV86 )
| ~ ( in @ SY791 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(480,plain,
! [SV87: $i,SV8: $i] :
( ( ( ~ ( subset @ SV8 @ SV87 ) )
= $true )
| ( ( ! [SY792: $i] :
( ~ ( in @ SY792 @ SV8 )
| ( in @ SY792 @ SV87 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(481,plain,
! [SV88: $i,SV10: $i] :
( ( ( SV10 != SV88 )
= $true )
| ( ( subset @ SV10 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(482,plain,
! [SV89: $i,SV11: $i] :
( ( ( SV11 != SV89 )
= $true )
| ( ( subset @ SV89 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(483,plain,
! [SV90: $i,SV12: $i] :
( ( ( SV12 != SV90 )
= $true )
| ( ( ( setunion @ SV12 )
= ( setunion @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(484,plain,
! [SV91: $i,SV13: $i] :
( ( ( SV13 != SV91 )
= $true )
| ( ( ( powerset @ SV13 )
= ( powerset @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(485,plain,
! [SV92: $i,SV14: $i] :
( ( ( SV14 != SV92 )
= $true )
| ( ( ! [SY793: $i,SY794: $i] :
( ( SY793 != SY794 )
| ( ( setadjoin @ SV14 @ SY793 )
= ( setadjoin @ SV92 @ SY794 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(486,plain,
! [SV93: $i,SV15: $i] :
( ( ( SV15 != SV93 )
= $true )
| ( ( ! [SY795: $i,SY796: $i] :
( ( SY795 != SY796 )
| ~ ( in @ SY795 @ SV15 )
| ( in @ SY796 @ SV93 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(487,plain,
! [SV16: $o] :
( ( SV16 = $false )
| ( ( set2prop @ ( prop2set @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(488,plain,
( ( $true = $false )
| ( ( set2prop @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(489,plain,
( ( $false = $false )
| ( ( set2prop @ ( prop2set @ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(490,plain,
! [SV17: $o] :
( ( SV17 = $false )
| ( ( in @ emptyset @ ( prop2set @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(491,plain,
( ( $true = $false )
| ( ( in @ emptyset @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(492,plain,
( ( $false = $false )
| ( ( in @ emptyset @ ( prop2set @ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(493,plain,
! [SV18: $i > $o,SV94: $i] :
( ( ( ~ ( in @ SV94 @ emptyset ) )
= $true )
| ( ( SV18 @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(494,plain,
! [SV19: $i,SV95: $i > $o] :
( ( ( ! [SY797: $i] :
( ~ ( SV95 @ SY797 )
| ~ ( in @ SY797 @ SV19 ) ) )
= $true )
| ( ( ( dsetconstr @ SV19
@ ^ [SY798: $i] : ( SV95 @ SY798 ) )
!= emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(495,plain,
! [SV98: $i,SV22: $i,SV133: $i] :
( ( ~ ( in @ SV133 @ ( setadjoin @ SV22 @ ( setadjoin @ SV98 @ emptyset ) ) )
| ( SV133 = SV22 )
| ( SV133 = SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(496,plain,
! [SV99: $i,SV23: $i] :
( ( ( ~ ( in @ SV23 @ ( setadjoin @ SV99 @ emptyset ) ) )
= $true )
| ( ( in @ SV99 @ ( setadjoin @ SV23 @ emptyset ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(497,plain,
! [SV100: $i,SV24: $i] :
( ( ( SV24 != SV100 )
= $true )
| ( ( in @ SV24 @ ( setadjoin @ SV100 @ emptyset ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(498,plain,
! [SV101: $i,SV25: $i] :
( ( ( SV25 = SV101 )
= $true )
| ( ( ~ ( in @ SV101 @ ( setadjoin @ SV25 @ emptyset ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(499,plain,
! [SV102: $i,SV26: $i] :
( ( ( ~ ( in @ SV26 @ ( setadjoin @ SV102 @ emptyset ) ) )
= $true )
| ( ( SV26 = SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(500,plain,
! [SV28: $i,SV103: $i] :
( ( ( ~ ( in @ SV103 @ SV28 ) )
= $true )
| ( ( in @ SV103 @ ( powerset @ ( setunion @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(501,plain,
! [SV29: $i,SV134: $i,SV104: $i] :
( ( ~ ( in @ SV104 @ SV134 )
| ~ ( in @ SV134 @ SV29 )
| ( in @ SV104 @ ( setunion @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(502,plain,
! [SV30: $i,SV105: $i] :
( ( ( ~ ( in @ SV105 @ ( powerset @ SV30 ) ) )
= $true )
| ( ( ! [SY801: $i] :
( ~ ( in @ SY801 @ SV105 )
| ( in @ SY801 @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(503,plain,
! [SV106: $i,SV34: $i,SV135: $i] :
( ( ~ ( in @ SV135 @ ( setadjoin @ SV34 @ SV106 ) )
| ( SV135 = SV34 )
| ( in @ SV135 @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(504,plain,
! [SV35: $i,SV107: $i,SV136: $i] :
( ( ~ ( in @ SV136 @ SV107 )
| ( in @ SV136 @ ( setadjoin @ SV35 @ SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(505,plain,
! [SV37: $i,SV137: $i] :
( ( ( ~ ( in @ SV137 @ SV37 ) )
= $true )
| ( ( SV37 != emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(506,plain,
! [SV109: $i > $o,SV38: $i,SV138: $i] :
( ( ~ ( in @ SV138 @ SV38 )
| ~ ( SV109 @ SV138 )
| ( ( dsetconstr @ SV38
@ ^ [SY805: $i] : ( SV109 @ SY805 ) )
!= emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(507,plain,
! [SV110: $i] :
( ( ( in @ SV110 @ emptyset )
= $false )
| ( ( ! [Xphi: $o] : Xphi )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(508,plain,
! [SV44: $o,SV139: $i] :
( ( ( ~ ( in @ SV139 @ ( prop2set @ SV44 ) ) )
= $true )
| ( SV44 = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(509,plain,
! [SV140: $i] :
( ( ( ~ ( in @ SV140 @ ( prop2set @ $true ) ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(510,plain,
! [SV141: $i] :
( ( ( ~ ( in @ SV141 @ ( prop2set @ $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(511,plain,
! [SV111: $i > $o,SV45: $i,SV142: $i] :
( ( ~ ( in @ SV142
@ ( dsetconstr @ SV45
@ ^ [SY807: $i] : ( SV111 @ SY807 ) ) )
| ( SV111 @ SV142 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(512,plain,
! [SV112: $i > $o,SV46: $i,SV143: $i] :
( ( ~ ( in @ SV143
@ ( dsetconstr @ SV46
@ ^ [SY809: $i] : ( SV112 @ SY809 ) ) )
| ( in @ SV143 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(513,plain,
! [SV113: $i > $o,SV47: $i,SV144: $i] :
( ( ~ ( in @ SV144 @ SV47 )
| ~ ( SV113 @ SV144 )
| ( in @ SV144
@ ( dsetconstr @ SV47
@ ^ [SY811: $i] : ( SV113 @ SY811 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(514,plain,
! [SV48: $i] :
( ( ( in @ SV48 @ omega )
= $false )
| ( ( in @ ( setadjoin @ SV48 @ SV48 ) @ omega )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(515,plain,
! [SV114: $i > $o,SV50: $i] :
( ( ( ! [SY812: $i] :
( ~ ( in @ SY812 @ SV50 )
| ( SV114 @ SY812 ) ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK38_Xx @ SV114 @ SV50 ) @ SV50 )
| ~ ~ ( SV114 @ ( sK38_Xx @ SV114 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(516,plain,
! [SV51: $i,SV145: $i] :
( ( ( ~ ( in @ SV145 @ SV51 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK12_B @ SV51 ) @ SV51 )
| ~ ! [SY698: $i] :
( ~ ( in @ SY698 @ ( sK12_B @ SV51 ) )
| ~ ( in @ SY698 @ SV51 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(517,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK53_Xx @ SX1 @ SX0 )
!= ( sK54_SY633 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK54_SY633 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK54_SY633 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX0 @ ( sK52_SY231 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK52_SY231 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( ( sK51_SY233 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX1 @ ( sK51_SY233 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(518,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK49_Xx @ SX1 @ SX0 )
!= ( sK50_SY631 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK50_SY631 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK50_SY631 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX1 @ ( sK48_SY234 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK48_SY234 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( ( sK47_SY230 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX0 @ ( sK47_SY230 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(519,plain,
! [SV52: $i] :
( ( ~ ! [SY699: $i,SY700: $i] :
( ~ ( in @ SY700 @ ( setadjoin @ SV52 @ SY699 ) )
| ( SY700 = SV52 )
| ( in @ SY700 @ SY699 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(520,plain,
! [SV52: $i] :
( ( ~ ~ ( ~ ! [SY701: $i,SY702: $i] :
( ( SY702 != SV52 )
| ( in @ SY702 @ ( setadjoin @ SV52 @ SY701 ) ) )
| ~ ! [SY703: $i,SY704: $i] :
( ~ ( in @ SY704 @ SY703 )
| ( in @ SY704 @ ( setadjoin @ SV52 @ SY703 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(521,plain,
! [SV53: $i,SV115: $i] :
( ( ( ~ ( ~ ( in @ ( sK28_Xx @ SV115 @ SV53 ) @ SV115 )
| ~ ~ ( in @ ( sK28_Xx @ SV115 @ SV53 ) @ SV53 ) ) )
= $true )
| ( ( in @ SV115 @ ( powerset @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(522,plain,
! [SV116: $i,SV54: $i] :
( ( ( SV54 != SV116 )
= $true )
| ( ( ~ ( ~ ! [SY813: $i,SY814: $i] :
( ( SY813 != SY814 )
| ~ ( in @ SY813 @ SV54 )
| ( in @ SY814 @ SV116 ) )
| ~ ! [SY815: $i,SY816: $i] :
( ( SY815 != SY816 )
| ~ ( in @ SY816 @ SV116 )
| ( in @ SY815 @ SV54 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(523,plain,
! [SV117: $i > $o,SV55: $i] :
( ( ( ! [SY817: $i] :
( ~ ( in @ SY817 @ SV55 )
| ( SV117 @ SY817 ) ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK36_Xx @ SV117 @ SV55 ) @ SV55 )
| ~ ~ ( SV117 @ ( sK36_Xx @ SV117 @ SV55 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(524,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( ~ ( ~ ( SV56 @ ( sK40_Xy @ SV146 @ SV56 ) )
| ~ ( ( SV146
!= ( sK40_Xy @ SV146 @ SV56 ) ) ) )
| ~ ( SV56 @ SV146 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) )
| ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(525,plain,
! [SV57: $i,SV118: $i] :
( ( ( ~ ( ~ ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV57 )
| ~ ~ ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV118 ) ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 )
| ~ ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) )
| ( SV57 = SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(526,plain,
! [SV58: $i,SV119: $i > $o] :
( ( ( ~ ( ~ ( SV119 @ ( sK35_Xx @ SV119 @ SV58 ) )
| ~ ( in @ ( sK35_Xx @ SV119 @ SV58 ) @ SV58 ) ) )
= $true )
| ( ( ! [SY818: $i] :
( ~ ( in @ SY818 @ SV58 )
| ~ ( SV119 @ SY818 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(527,plain,
! [SV59: $i,SV120: $i] :
( ( ( ~ ( ~ ( in @ ( sK63_Xx @ SV120 @ SV59 ) @ SV59 )
| ~ ~ ( in @ ( sK63_Xx @ SV120 @ SV59 ) @ SV120 ) ) )
= $true )
| ( ( subset @ SV59 @ SV120 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(528,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK5_Xx @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( in @ ( sK5_Xx @ SX1 @ SX0 ) @ SX0 ) )
| ( in @ SX1 @ ( powerset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(529,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ ( powerset @ SX0 ) )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(530,plain,
! [SV60: $i] :
( ( ~ ! [SY719: $i > $o,SY720: $i] :
( ~ ( in @ SY720 @ SV60 )
| ~ ( SY719 @ SY720 )
| ( in @ SY720
@ ( dsetconstr @ SV60
@ ^ [SX3: $i] : ( SY719 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(531,plain,
! [SV60: $i] :
( ( ~ ! [SY722: $i > $o,SY723: $i] :
( ~ ( in @ SY723 @ SV60 )
| ~ ( in @ SY723
@ ( dsetconstr @ SV60
@ ^ [SX3: $i] : ( SY722 @ SX3 ) ) )
| ( SY722 @ SY723 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(532,plain,
! [SV61: $i > $o,SV121: $i > $o] :
( ( ( ~ ( ( ( sK58_Xx @ SV121 @ SV61 )
!= ( sK59_SY634 @ SV121 @ SV61 ) )
| ~ ~ ( ~ ( ~ ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ~ ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) )
| ~ ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) ) ) ) )
= $true )
| ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[451]) ).
thf(533,plain,
! [SV122: $i,SV62: $i] :
( ( ( SV62 != SV122 )
= $true )
| ( ( ! [SY823: $i > $o,SY824: $i > $o] :
( ~ ( ~ ( in @ ( sK60_Xx @ SY824 @ SY823 @ SV122 @ SV62 ) @ SV62 )
| ~ ~ ( ~ ( in @ ( sK61_SY635 @ SY824 @ SY823 @ SV122 @ SV62 ) @ SV122 )
| ~ ~ ( ( ( sK60_Xx @ SY824 @ SY823 @ SV122 @ SV62 )
!= ( sK61_SY635 @ SY824 @ SY823 @ SV122 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SY823 @ ( sK60_Xx @ SY824 @ SY823 @ SV122 @ SV62 ) )
| ~ ( SY824 @ ( sK61_SY635 @ SY824 @ SY823 @ SV122 @ SV62 ) ) )
| ~ ( ( SY823 @ ( sK60_Xx @ SY824 @ SY823 @ SV122 @ SV62 ) )
| ( SY824 @ ( sK61_SY635 @ SY824 @ SY823 @ SV122 @ SV62 ) ) ) ) ) ) )
| ( ( dsetconstr @ SV62
@ ^ [SX4: $i] : ( SY823 @ SX4 ) )
= ( dsetconstr @ SV122
@ ^ [SX4: $i] : ( SY824 @ SX4 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(534,plain,
! [SV147: $i,SV63: $i > $o] :
( ( ( ~ ( ~ ( SV63 @ ( sK46_SY222 @ SV147 @ SV63 ) )
| ~ ( ( SV147
!= ( sK46_SY222 @ SV147 @ SV63 ) ) ) )
| ~ ( SV63 @ SV147 ) )
= $true )
| ( ( ! [SY736: $i] :
( ~ ( SV63 @ SY736 )
| ! [SY737: $i] :
( ~ ( SV63 @ SY737 )
| ( SY736 = SY737 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(535,plain,
! [SV64: $i > $o,SV148: $i] :
( ( ( ~ ( ~ ( ( ( sK45_Xy @ SV148 @ SV64 )
!= SV148 )
| ~ ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) ) )
| ~ ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
| ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) )
| ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(536,plain,
! [SV65: $i,SV123: $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK34_Xx @ SV123 @ SV65 ) @ SV65 )
| ~ ( SV123 @ ( sK34_Xx @ SV123 @ SV65 ) ) ) )
= $true )
| ( ( ! [SY827: $i] :
( ~ ( SV123 @ SY827 )
| ~ ( in @ SY827 @ SV65 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(537,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( ~ ( ~ ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
| ~ ( ( SV149
!= ( sK31_SY140 @ SV149 @ SV66 ) ) ) )
| ~ ( SV66 @ SV149 ) )
= $true )
| ( ( ~ ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) )
| ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(538,plain,
( ( subset @ sK1_A @ sK3_SY591 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(539,plain,
( ( ~ ( subset @ sK1_A @ ( setadjoin @ sK2_SY589 @ sK3_SY591 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(540,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( in @ SX1 @ SX2 )
| ~ ( in @ SX2 @ SX0 ) )
| ( in @ SX1 @ ( setunion @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(541,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ ( setunion @ SX0 ) )
| ~ ( ~ ( in @ SX1 @ ( sK6_B @ SX1 @ SX0 ) )
| ~ ( in @ ( sK6_B @ SX1 @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(542,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ( in @ SV124 @ ( setunion @ SV67 ) ) )
= $true )
| ( ( ! [SY828: $o] :
( ~ ( ~ ( in @ SV124 @ ( sK29_B @ SY828 @ SV124 @ SV67 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ SY828 @ SV124 @ SV67 ) @ SV67 )
| ~ ~ SY828 ) )
| SY828 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(543,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ( SV68 @ SV150 ) )
= $true )
| ( ( ~ ( ~ ( SV68 @ ( sK42_Xx @ SV68 ) )
| ~ ~ ( ~ ( SV68 @ ( sK43_SY628 @ SV68 ) )
| ~ ( ( ( sK42_Xx @ SV68 )
!= ( sK43_SY628 @ SV68 ) ) ) ) )
| ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(544,plain,
! [SV69: $i > $i > $o,SV125: $i] :
( ( ( ~ ( ~ ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
| ~ ! [SY829: $i] :
( ~ ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SY829 @ SV125 @ SV69 ) )
| ~ ( ( SY829
!= ( sK11_SY597 @ SY829 @ SV125 @ SV69 ) ) ) )
| ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SY829 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(545,plain,
! [SV70: $i,SV126: $i] :
( ( ( ~ ( ~ ( ~ ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV70 )
| ~ ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV126 ) )
| ~ ( ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV70 )
| ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV126 ) ) ) )
= $true )
| ( ( SV70 = SV126 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(546,plain,
! [SV151: $i,SV71: $i > $o] :
( ( ( ~ ( ~ ( SV71 @ ( sK55_SY246 @ SV151 @ SV71 ) )
| ~ ( ( SV151
!= ( sK55_SY246 @ SV151 @ SV71 ) ) ) )
| ~ ( SV71 @ SV151 ) )
= $true )
| ( ( ! [SY756: $i] :
( ~ ( SV71 @ SY756 )
| ! [SY757: $i] :
( ~ ( SV71 @ SY757 )
| ( SY756 = SY757 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(547,plain,
! [SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK7_Xx @ SV72 ) @ omega )
| ~ ( in @ ( sK7_Xx @ SV72 ) @ SV72 ) )
| ~ ~ ( in @ ( setadjoin @ ( sK7_Xx @ SV72 ) @ ( sK7_Xx @ SV72 ) ) @ SV72 ) ) )
= $true )
| ( ( ~ ( in @ emptyset @ SV72 ) )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(548,plain,
! [SV73: $i,SV127: $i > $o] :
( ( ( ~ ( ~ ( SV127 @ ( sK37_Xx @ SV127 @ SV73 ) )
| ~ ( in @ ( sK37_Xx @ SV127 @ SV73 ) @ SV73 ) ) )
= $true )
| ( ( ! [SY833: $i] :
( ~ ( in @ SY833 @ SV73 )
| ~ ( SV127 @ SY833 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(549,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ~ ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
| ~ ( ~ ~ ( ~ ( ( SV152 = SV74 )
| ( in @ SV152 @ SV128 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SV152 = SV74 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
| ~ ~ ( ~ ! [SY846: $o] :
( ~ SY846
| ( in @ SV152 @ SV128 )
| SY846 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(550,plain,
! [SV75: $i] :
( ( ~ ! [SY767: $i] :
( ~ ( ~ ( in @ ( sK17_Xx @ SY767 @ SV75 ) @ SY767 )
| ~ ~ ( in @ ( sK17_Xx @ SY767 @ SV75 ) @ SV75 ) )
| ! [SX2: $i] :
~ ( in @ SX2 @ SY767 )
| ~ ( ~ ! [SY769: $i] :
( ~ ( in @ SY769 @ ( sK13_B @ SV75 ) )
| ! [SY770: $i] :
( ~ ( in @ SY770 @ SY769 )
| ( in @ SY770 @ ( sK15_SY602 @ SY767 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SY767 @ SV75 ) @ SY769 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SY767 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SY767 @ SV75 ) @ SY767 ) )
| ~ ! [SY771: $i] :
( ~ ( in @ SY771 @ ( sK15_SY602 @ SY767 @ SV75 ) )
| ~ ( in @ SY771 @ SY767 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(551,plain,
! [SV75: $i] :
( ( ~ ~ ( ~ ! [SY772: $i,SY773: $i] :
( ~ ( in @ SY772 @ ( sK13_B @ SV75 ) )
| ~ ( in @ SY773 @ ( sK13_B @ SV75 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY772 )
| ( in @ SX3 @ SY773 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY773 )
| ( in @ SX3 @ SY772 ) ) )
| ~ ~ ( ~ ! [SY776: $i] :
( ~ ( in @ SY776 @ ( sK13_B @ SV75 ) )
| ! [SY777: $i] :
( ~ ( in @ SY777 @ SY776 )
| ( in @ SY777 @ SV75 ) ) )
| ~ ! [SY778: $i,SY779: $i] :
( ~ ( in @ SY778 @ SV75 )
| ~ ( in @ SY779 @ SV75 )
| ~ ( ~ ( in @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ~ ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) )
| ~ ( ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) ) ) )
| ( SY778 = SY779 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(552,plain,
! [SV153: $i,SV76: $i > $o] :
( ( ( ~ ( ~ ( SV76 @ ( sK22_SY84 @ SV153 @ SV76 ) )
| ~ ( ( SV153
!= ( sK22_SY84 @ SV153 @ SV76 ) ) ) )
| ~ ( SV76 @ SV153 ) )
= $true )
| ( ( SV76 @ ( sK21_Xx @ SV76 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(553,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( ~ ( ~ ( SV77 @ ( sK20_SY72 @ SV154 @ SV77 ) )
| ~ ( ( SV154
!= ( sK20_SY72 @ SV154 @ SV77 ) ) ) )
| ~ ( SV77 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) )
| ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(554,plain,
! [SV155: $i,SV78: $i > $o] :
( ( ( ~ ( ~ ( SV78 @ ( sK18_SY55 @ SV155 @ SV78 ) )
| ~ ( ( SV155
!= ( sK18_SY55 @ SV155 @ SV78 ) ) ) )
| ~ ( SV78 @ SV155 ) )
= $true )
| ( ( SV78
@ ( descr
@ ^ [SY784: $i] : ( SV78 @ SY784 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(555,plain,
! [SV129: $i > $o,SV79: $i] :
( ( ( ! [SY839: $i] :
( ~ ( in @ SY839 @ SV79 )
| ( SV129 @ SY839 ) ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK33_Xx @ SV129 @ SV79 ) @ SV79 )
| ~ ~ ( SV129 @ ( sK33_Xx @ SV129 @ SV79 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(556,plain,
! [SV80: $i,SV130: $i] :
( ( ( ~ ( ~ ( in @ ( sK62_Xx @ SV130 @ SV80 ) @ SV80 )
| ~ ~ ( in @ ( sK62_Xx @ SV130 @ SV80 ) @ SV130 ) ) )
= $true )
| ( ( subset @ SV80 @ SV130 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(557,plain,
! [SV82: $i,SV2: $i] :
( ( ( subset @ SV2 @ SV82 )
= $false )
| ( ( ! [SY788: $i] :
( ~ ( subset @ SV82 @ SY788 )
| ( subset @ SV2 @ SY788 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(558,plain,
! [SV83: $i,SV4: $i,SV131: $i] :
( ( ( ~ ( in @ SV131 @ SV4 ) )
= $true )
| ( ( ( in @ SV131 @ SV83 )
| ( SV4 != SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(559,plain,
! [SV84: $i,SV5: $i] :
( ( ( SV5 = SV84 )
= $false )
| ( ( subset @ SV5 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(560,plain,
! [SV85: $i,SV6: $i,SV132: $i] :
( ( ( ~ ( in @ SV132 @ SV6 ) )
= $true )
| ( ( ( in @ SV132 @ SV85 )
| ~ ( subset @ SV6 @ SV85 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(561,plain,
! [SV86: $i,SV7: $i] :
( ( ( subset @ SV7 @ SV86 )
= $false )
| ( ( ! [SY791: $i] :
( ( in @ SY791 @ SV86 )
| ~ ( in @ SY791 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(562,plain,
! [SV87: $i,SV8: $i] :
( ( ( subset @ SV8 @ SV87 )
= $false )
| ( ( ! [SY792: $i] :
( ~ ( in @ SY792 @ SV8 )
| ( in @ SY792 @ SV87 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(563,plain,
! [SV88: $i,SV10: $i] :
( ( ( SV10 = SV88 )
= $false )
| ( ( subset @ SV10 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(564,plain,
! [SV89: $i,SV11: $i] :
( ( ( SV11 = SV89 )
= $false )
| ( ( subset @ SV89 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(565,plain,
! [SV90: $i,SV12: $i] :
( ( ( SV12 = SV90 )
= $false )
| ( ( ( setunion @ SV12 )
= ( setunion @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(566,plain,
! [SV91: $i,SV13: $i] :
( ( ( SV13 = SV91 )
= $false )
| ( ( ( powerset @ SV13 )
= ( powerset @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(567,plain,
! [SV92: $i,SV14: $i] :
( ( ( SV14 = SV92 )
= $false )
| ( ( ! [SY793: $i,SY794: $i] :
( ( SY793 != SY794 )
| ( ( setadjoin @ SV14 @ SY793 )
= ( setadjoin @ SV92 @ SY794 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(568,plain,
! [SV93: $i,SV15: $i] :
( ( ( SV15 = SV93 )
= $false )
| ( ( ! [SY795: $i,SY796: $i] :
( ( SY795 != SY796 )
| ~ ( in @ SY795 @ SV15 )
| ( in @ SY796 @ SV93 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(569,plain,
! [SV18: $i > $o,SV94: $i] :
( ( ( in @ SV94 @ emptyset )
= $false )
| ( ( SV18 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(570,plain,
! [SV19: $i,SV156: $i,SV95: $i > $o] :
( ( ( ~ ( SV95 @ SV156 )
| ~ ( in @ SV156 @ SV19 ) )
= $true )
| ( ( ( dsetconstr @ SV19
@ ^ [SY798: $i] : ( SV95 @ SY798 ) )
!= emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(571,plain,
! [SV98: $i,SV22: $i,SV133: $i] :
( ( ( ~ ( in @ SV133 @ ( setadjoin @ SV22 @ ( setadjoin @ SV98 @ emptyset ) ) ) )
= $true )
| ( ( ( SV133 = SV22 )
| ( SV133 = SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(572,plain,
! [SV99: $i,SV23: $i] :
( ( ( in @ SV23 @ ( setadjoin @ SV99 @ emptyset ) )
= $false )
| ( ( in @ SV99 @ ( setadjoin @ SV23 @ emptyset ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(573,plain,
! [SV100: $i,SV24: $i] :
( ( ( SV24 = SV100 )
= $false )
| ( ( in @ SV24 @ ( setadjoin @ SV100 @ emptyset ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(574,plain,
! [SV25: $i,SV101: $i] :
( ( ( in @ SV101 @ ( setadjoin @ SV25 @ emptyset ) )
= $false )
| ( ( SV25 = SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(575,plain,
! [SV102: $i,SV26: $i] :
( ( ( in @ SV26 @ ( setadjoin @ SV102 @ emptyset ) )
= $false )
| ( ( SV26 = SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(576,plain,
! [SV28: $i,SV103: $i] :
( ( ( in @ SV103 @ SV28 )
= $false )
| ( ( in @ SV103 @ ( powerset @ ( setunion @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(577,plain,
! [SV29: $i,SV134: $i,SV104: $i] :
( ( ( ~ ( in @ SV104 @ SV134 ) )
= $true )
| ( ( ~ ( in @ SV134 @ SV29 )
| ( in @ SV104 @ ( setunion @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(578,plain,
! [SV30: $i,SV105: $i] :
( ( ( in @ SV105 @ ( powerset @ SV30 ) )
= $false )
| ( ( ! [SY801: $i] :
( ~ ( in @ SY801 @ SV105 )
| ( in @ SY801 @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(579,plain,
! [SV106: $i,SV34: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ ( setadjoin @ SV34 @ SV106 ) ) )
= $true )
| ( ( ( SV135 = SV34 )
| ( in @ SV135 @ SV106 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(580,plain,
! [SV35: $i,SV107: $i,SV136: $i] :
( ( ( ~ ( in @ SV136 @ SV107 ) )
= $true )
| ( ( in @ SV136 @ ( setadjoin @ SV35 @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(581,plain,
! [SV37: $i,SV137: $i] :
( ( ( in @ SV137 @ SV37 )
= $false )
| ( ( SV37 != emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(582,plain,
! [SV109: $i > $o,SV38: $i,SV138: $i] :
( ( ( ~ ( in @ SV138 @ SV38 ) )
= $true )
| ( ( ~ ( SV109 @ SV138 )
| ( ( dsetconstr @ SV38
@ ^ [SY805: $i] : ( SV109 @ SY805 ) )
!= emptyset ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(583,plain,
! [SV110: $i,SV157: $o] :
( ( SV157 = $true )
| ( ( in @ SV110 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[507]) ).
thf(584,plain,
! [SV110: $i] :
( ( $true = $true )
| ( ( in @ SV110 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[507]) ).
thf(585,plain,
! [SV110: $i] :
( ( $false = $true )
| ( ( in @ SV110 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[507]) ).
thf(586,plain,
! [SV44: $o,SV139: $i] :
( ( ( in @ SV139 @ ( prop2set @ SV44 ) )
= $false )
| ( SV44 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(587,plain,
! [SV140: $i] :
( ( ( in @ SV140 @ ( prop2set @ $true ) )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(588,plain,
! [SV141: $i] :
( ( ( in @ SV141 @ ( prop2set @ $false ) )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(589,plain,
! [SV111: $i > $o,SV45: $i,SV142: $i] :
( ( ( ~ ( in @ SV142
@ ( dsetconstr @ SV45
@ ^ [SY807: $i] : ( SV111 @ SY807 ) ) ) )
= $true )
| ( ( SV111 @ SV142 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[511]) ).
thf(590,plain,
! [SV112: $i > $o,SV46: $i,SV143: $i] :
( ( ( ~ ( in @ SV143
@ ( dsetconstr @ SV46
@ ^ [SY809: $i] : ( SV112 @ SY809 ) ) ) )
= $true )
| ( ( in @ SV143 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[512]) ).
thf(591,plain,
! [SV113: $i > $o,SV47: $i,SV144: $i] :
( ( ( ~ ( in @ SV144 @ SV47 ) )
= $true )
| ( ( ~ ( SV113 @ SV144 )
| ( in @ SV144
@ ( dsetconstr @ SV47
@ ^ [SY811: $i] : ( SV113 @ SY811 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(592,plain,
! [SV114: $i > $o,SV50: $i,SV158: $i] :
( ( ( ~ ( in @ SV158 @ SV50 )
| ( SV114 @ SV158 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK38_Xx @ SV114 @ SV50 ) @ SV50 )
| ~ ~ ( SV114 @ ( sK38_Xx @ SV114 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(593,plain,
! [SV51: $i,SV145: $i] :
( ( ( in @ SV145 @ SV51 )
= $false )
| ( ( ~ ( ~ ( in @ ( sK12_B @ SV51 ) @ SV51 )
| ~ ! [SY698: $i] :
( ~ ( in @ SY698 @ ( sK12_B @ SV51 ) )
| ~ ( in @ SY698 @ SV51 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(594,plain,
! [SV159: $i > $o] :
( ( ! [SY848: $i > $o] :
( ~ ( ( ( sK53_Xx @ SY848 @ SV159 )
!= ( sK54_SY633 @ SY848 @ SV159 ) )
| ~ ~ ( ~ ( ~ ( SV159 @ ( sK53_Xx @ SY848 @ SV159 ) )
| ~ ( SY848 @ ( sK54_SY633 @ SY848 @ SV159 ) ) )
| ~ ( ( SV159 @ ( sK53_Xx @ SY848 @ SV159 ) )
| ( SY848 @ ( sK54_SY633 @ SY848 @ SV159 ) ) ) ) )
| ! [SY849: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY849 @ SY848 @ SV159 ) )
| ~ ( ( SY849
!= ( sK52_SY231 @ SY849 @ SY848 @ SV159 ) ) ) )
| ~ ( SV159 @ SY849 ) )
| ~ ( ~ ! [SY850: $i] :
( ~ ( SY848 @ SY850 )
| ( ( sK51_SY233 @ SY848 @ SV159 )
= SY850 ) )
| ~ ( SY848 @ ( sK51_SY233 @ SY848 @ SV159 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(595,plain,
! [SV160: $i > $o] :
( ( ! [SY851: $i > $o] :
( ~ ( ( ( sK49_Xx @ SY851 @ SV160 )
!= ( sK50_SY631 @ SY851 @ SV160 ) )
| ~ ~ ( ~ ( ~ ( SV160 @ ( sK49_Xx @ SY851 @ SV160 ) )
| ~ ( SY851 @ ( sK50_SY631 @ SY851 @ SV160 ) ) )
| ~ ( ( SV160 @ ( sK49_Xx @ SY851 @ SV160 ) )
| ( SY851 @ ( sK50_SY631 @ SY851 @ SV160 ) ) ) ) )
| ! [SY852: $i] :
( ~ ( ~ ( SY851 @ ( sK48_SY234 @ SY852 @ SY851 @ SV160 ) )
| ~ ( ( SY852
!= ( sK48_SY234 @ SY852 @ SY851 @ SV160 ) ) ) )
| ~ ( SY851 @ SY852 ) )
| ~ ( ~ ! [SY853: $i] :
( ~ ( SV160 @ SY853 )
| ( ( sK47_SY230 @ SY851 @ SV160 )
= SY853 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SY851 @ SV160 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(596,plain,
! [SV52: $i] :
( ( ! [SY699: $i,SY700: $i] :
( ~ ( in @ SY700 @ ( setadjoin @ SV52 @ SY699 ) )
| ( SY700 = SV52 )
| ( in @ SY700 @ SY699 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(597,plain,
! [SV52: $i] :
( ( ~ ( ~ ! [SY701: $i,SY702: $i] :
( ( SY702 != SV52 )
| ( in @ SY702 @ ( setadjoin @ SV52 @ SY701 ) ) )
| ~ ! [SY703: $i,SY704: $i] :
( ~ ( in @ SY704 @ SY703 )
| ( in @ SY704 @ ( setadjoin @ SV52 @ SY703 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(598,plain,
! [SV53: $i,SV115: $i] :
( ( ( ~ ( in @ ( sK28_Xx @ SV115 @ SV53 ) @ SV115 )
| ~ ~ ( in @ ( sK28_Xx @ SV115 @ SV53 ) @ SV53 ) )
= $false )
| ( ( in @ SV115 @ ( powerset @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(599,plain,
! [SV116: $i,SV54: $i] :
( ( ( SV54 = SV116 )
= $false )
| ( ( ~ ( ~ ! [SY813: $i,SY814: $i] :
( ( SY813 != SY814 )
| ~ ( in @ SY813 @ SV54 )
| ( in @ SY814 @ SV116 ) )
| ~ ! [SY815: $i,SY816: $i] :
( ( SY815 != SY816 )
| ~ ( in @ SY816 @ SV116 )
| ( in @ SY815 @ SV54 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(600,plain,
! [SV117: $i > $o,SV55: $i,SV161: $i] :
( ( ( ~ ( in @ SV161 @ SV55 )
| ( SV117 @ SV161 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK36_Xx @ SV117 @ SV55 ) @ SV55 )
| ~ ~ ( SV117 @ ( sK36_Xx @ SV117 @ SV55 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(601,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( ~ ( ~ ( SV56 @ ( sK40_Xy @ SV146 @ SV56 ) )
| ~ ( ( SV146
!= ( sK40_Xy @ SV146 @ SV56 ) ) ) ) )
= $true )
| ( ( ~ ( SV56 @ SV146 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) )
| ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[524]) ).
thf(602,plain,
! [SV57: $i,SV118: $i] :
( ( ( ~ ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV57 )
| ~ ~ ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV118 ) )
= $false )
| ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 )
| ~ ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) )
| ( SV57 = SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(603,plain,
! [SV58: $i,SV119: $i > $o] :
( ( ( ~ ( SV119 @ ( sK35_Xx @ SV119 @ SV58 ) )
| ~ ( in @ ( sK35_Xx @ SV119 @ SV58 ) @ SV58 ) )
= $false )
| ( ( ! [SY818: $i] :
( ~ ( in @ SY818 @ SV58 )
| ~ ( SV119 @ SY818 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(604,plain,
! [SV59: $i,SV120: $i] :
( ( ( ~ ( in @ ( sK63_Xx @ SV120 @ SV59 ) @ SV59 )
| ~ ~ ( in @ ( sK63_Xx @ SV120 @ SV59 ) @ SV120 ) )
= $false )
| ( ( subset @ SV59 @ SV120 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(605,plain,
! [SV162: $i] :
( ( ! [SY854: $i] :
( ~ ( ~ ( in @ ( sK5_Xx @ SY854 @ SV162 ) @ SY854 )
| ~ ~ ( in @ ( sK5_Xx @ SY854 @ SV162 ) @ SV162 ) )
| ( in @ SY854 @ ( powerset @ SV162 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(606,plain,
! [SV163: $i] :
( ( ! [SY855: $i] :
( ~ ( in @ SY855 @ ( powerset @ SV163 ) )
| ! [SY856: $i] :
( ~ ( in @ SY856 @ SY855 )
| ( in @ SY856 @ SV163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(607,plain,
! [SV60: $i] :
( ( ! [SY719: $i > $o,SY720: $i] :
( ~ ( in @ SY720 @ SV60 )
| ~ ( SY719 @ SY720 )
| ( in @ SY720
@ ( dsetconstr @ SV60
@ ^ [SX3: $i] : ( SY719 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(608,plain,
! [SV60: $i] :
( ( ! [SY722: $i > $o,SY723: $i] :
( ~ ( in @ SY723 @ SV60 )
| ~ ( in @ SY723
@ ( dsetconstr @ SV60
@ ^ [SX3: $i] : ( SY722 @ SX3 ) ) )
| ( SY722 @ SY723 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(609,plain,
! [SV61: $i > $o,SV121: $i > $o] :
( ( ( ( ( sK58_Xx @ SV121 @ SV61 )
!= ( sK59_SY634 @ SV121 @ SV61 ) )
| ~ ~ ( ~ ( ~ ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ~ ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) )
| ~ ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) ) ) )
= $false )
| ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(610,plain,
! [SV122: $i,SV62: $i] :
( ( ( SV62 = SV122 )
= $false )
| ( ( ! [SY823: $i > $o,SY824: $i > $o] :
( ~ ( ~ ( in @ ( sK60_Xx @ SY824 @ SY823 @ SV122 @ SV62 ) @ SV62 )
| ~ ~ ( ~ ( in @ ( sK61_SY635 @ SY824 @ SY823 @ SV122 @ SV62 ) @ SV122 )
| ~ ~ ( ( ( sK60_Xx @ SY824 @ SY823 @ SV122 @ SV62 )
!= ( sK61_SY635 @ SY824 @ SY823 @ SV122 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SY823 @ ( sK60_Xx @ SY824 @ SY823 @ SV122 @ SV62 ) )
| ~ ( SY824 @ ( sK61_SY635 @ SY824 @ SY823 @ SV122 @ SV62 ) ) )
| ~ ( ( SY823 @ ( sK60_Xx @ SY824 @ SY823 @ SV122 @ SV62 ) )
| ( SY824 @ ( sK61_SY635 @ SY824 @ SY823 @ SV122 @ SV62 ) ) ) ) ) ) )
| ( ( dsetconstr @ SV62
@ ^ [SX4: $i] : ( SY823 @ SX4 ) )
= ( dsetconstr @ SV122
@ ^ [SX4: $i] : ( SY824 @ SX4 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(611,plain,
! [SV147: $i,SV63: $i > $o] :
( ( ( ~ ( ~ ( SV63 @ ( sK46_SY222 @ SV147 @ SV63 ) )
| ~ ( ( SV147
!= ( sK46_SY222 @ SV147 @ SV63 ) ) ) ) )
= $true )
| ( ( ~ ( SV63 @ SV147 ) )
= $true )
| ( ( ! [SY736: $i] :
( ~ ( SV63 @ SY736 )
| ! [SY737: $i] :
( ~ ( SV63 @ SY737 )
| ( SY736 = SY737 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(612,plain,
! [SV64: $i > $o,SV148: $i] :
( ( ( ~ ( ( ( sK45_Xy @ SV148 @ SV64 )
!= SV148 )
| ~ ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) ) )
| ~ ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
| ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) )
| ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(613,plain,
! [SV65: $i,SV123: $i > $o] :
( ( ( ~ ( in @ ( sK34_Xx @ SV123 @ SV65 ) @ SV65 )
| ~ ( SV123 @ ( sK34_Xx @ SV123 @ SV65 ) ) )
= $false )
| ( ( ! [SY827: $i] :
( ~ ( SV123 @ SY827 )
| ~ ( in @ SY827 @ SV65 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(614,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( ~ ( ~ ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
| ~ ( ( SV149
!= ( sK31_SY140 @ SV149 @ SV66 ) ) ) ) )
= $true )
| ( ( ~ ( SV66 @ SV149 ) )
= $true )
| ( ( ~ ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) )
| ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(615,plain,
( ( subset @ sK1_A @ ( setadjoin @ sK2_SY589 @ sK3_SY591 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(616,plain,
! [SV164: $i] :
( ( ! [SY857: $i] :
( ! [SY858: $i] :
( ~ ( in @ SY857 @ SY858 )
| ~ ( in @ SY858 @ SV164 ) )
| ( in @ SY857 @ ( setunion @ SV164 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(617,plain,
! [SV165: $i] :
( ( ! [SY859: $i] :
( ~ ( in @ SY859 @ ( setunion @ SV165 ) )
| ~ ( ~ ( in @ SY859 @ ( sK6_B @ SY859 @ SV165 ) )
| ~ ( in @ ( sK6_B @ SY859 @ SV165 ) @ SV165 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(618,plain,
! [SV67: $i,SV124: $i] :
( ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false )
| ( ( ! [SY828: $o] :
( ~ ( ~ ( in @ SV124 @ ( sK29_B @ SY828 @ SV124 @ SV67 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ SY828 @ SV124 @ SV67 ) @ SV67 )
| ~ ~ SY828 ) )
| SY828 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(619,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( SV68 @ SV150 )
= $false )
| ( ( ~ ( ~ ( SV68 @ ( sK42_Xx @ SV68 ) )
| ~ ~ ( ~ ( SV68 @ ( sK43_SY628 @ SV68 ) )
| ~ ( ( ( sK42_Xx @ SV68 )
!= ( sK43_SY628 @ SV68 ) ) ) ) )
| ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(620,plain,
! [SV69: $i > $i > $o,SV125: $i] :
( ( ( ~ ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
| ~ ! [SY829: $i] :
( ~ ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SY829 @ SV125 @ SV69 ) )
| ~ ( ( SY829
!= ( sK11_SY597 @ SY829 @ SV125 @ SV69 ) ) ) )
| ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SY829 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(621,plain,
! [SV70: $i,SV126: $i] :
( ( ( ~ ( ~ ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV70 )
| ~ ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV126 ) )
| ~ ( ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV70 )
| ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV126 ) ) )
= $false )
| ( ( SV70 = SV126 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(622,plain,
! [SV151: $i,SV71: $i > $o] :
( ( ( ~ ( ~ ( SV71 @ ( sK55_SY246 @ SV151 @ SV71 ) )
| ~ ( ( SV151
!= ( sK55_SY246 @ SV151 @ SV71 ) ) ) ) )
= $true )
| ( ( ~ ( SV71 @ SV151 ) )
= $true )
| ( ( ! [SY756: $i] :
( ~ ( SV71 @ SY756 )
| ! [SY757: $i] :
( ~ ( SV71 @ SY757 )
| ( SY756 = SY757 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[546]) ).
thf(623,plain,
! [SV72: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK7_Xx @ SV72 ) @ omega )
| ~ ( in @ ( sK7_Xx @ SV72 ) @ SV72 ) )
| ~ ~ ( in @ ( setadjoin @ ( sK7_Xx @ SV72 ) @ ( sK7_Xx @ SV72 ) ) @ SV72 ) )
= $false )
| ( ( ~ ( in @ emptyset @ SV72 ) )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(624,plain,
! [SV73: $i,SV127: $i > $o] :
( ( ( ~ ( SV127 @ ( sK37_Xx @ SV127 @ SV73 ) )
| ~ ( in @ ( sK37_Xx @ SV127 @ SV73 ) @ SV73 ) )
= $false )
| ( ( ! [SY833: $i] :
( ~ ( in @ SY833 @ SV73 )
| ~ ( SV127 @ SY833 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(625,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV152 = SV74 )
| ( in @ SV152 @ SV128 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SV152 = SV74 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
| ~ ~ ( ~ ! [SY846: $o] :
( ~ SY846
| ( in @ SV152 @ SV128 )
| SY846 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[549]) ).
thf(626,plain,
! [SV75: $i] :
( ( ! [SY767: $i] :
( ~ ( ~ ( in @ ( sK17_Xx @ SY767 @ SV75 ) @ SY767 )
| ~ ~ ( in @ ( sK17_Xx @ SY767 @ SV75 ) @ SV75 ) )
| ! [SX2: $i] :
~ ( in @ SX2 @ SY767 )
| ~ ( ~ ! [SY769: $i] :
( ~ ( in @ SY769 @ ( sK13_B @ SV75 ) )
| ! [SY770: $i] :
( ~ ( in @ SY770 @ SY769 )
| ( in @ SY770 @ ( sK15_SY602 @ SY767 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SY767 @ SV75 ) @ SY769 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SY767 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SY767 @ SV75 ) @ SY767 ) )
| ~ ! [SY771: $i] :
( ~ ( in @ SY771 @ ( sK15_SY602 @ SY767 @ SV75 ) )
| ~ ( in @ SY771 @ SY767 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(627,plain,
! [SV75: $i] :
( ( ~ ( ~ ! [SY772: $i,SY773: $i] :
( ~ ( in @ SY772 @ ( sK13_B @ SV75 ) )
| ~ ( in @ SY773 @ ( sK13_B @ SV75 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY772 )
| ( in @ SX3 @ SY773 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY773 )
| ( in @ SX3 @ SY772 ) ) )
| ~ ~ ( ~ ! [SY776: $i] :
( ~ ( in @ SY776 @ ( sK13_B @ SV75 ) )
| ! [SY777: $i] :
( ~ ( in @ SY777 @ SY776 )
| ( in @ SY777 @ SV75 ) ) )
| ~ ! [SY778: $i,SY779: $i] :
( ~ ( in @ SY778 @ SV75 )
| ~ ( in @ SY779 @ SV75 )
| ~ ( ~ ( in @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ~ ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) )
| ~ ( ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) ) ) )
| ( SY778 = SY779 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(628,plain,
! [SV153: $i,SV76: $i > $o] :
( ( ( ~ ( ~ ( SV76 @ ( sK22_SY84 @ SV153 @ SV76 ) )
| ~ ( ( SV153
!= ( sK22_SY84 @ SV153 @ SV76 ) ) ) ) )
= $true )
| ( ( ~ ( SV76 @ SV153 ) )
= $true )
| ( ( SV76 @ ( sK21_Xx @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(629,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( ~ ( ~ ( SV77 @ ( sK20_SY72 @ SV154 @ SV77 ) )
| ~ ( ( SV154
!= ( sK20_SY72 @ SV154 @ SV77 ) ) ) ) )
= $true )
| ( ( ~ ( SV77 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) )
| ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(630,plain,
! [SV155: $i,SV78: $i > $o] :
( ( ( ~ ( ~ ( SV78 @ ( sK18_SY55 @ SV155 @ SV78 ) )
| ~ ( ( SV155
!= ( sK18_SY55 @ SV155 @ SV78 ) ) ) ) )
= $true )
| ( ( ~ ( SV78 @ SV155 ) )
= $true )
| ( ( SV78
@ ( descr
@ ^ [SY784: $i] : ( SV78 @ SY784 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(631,plain,
! [SV129: $i > $o,SV79: $i,SV166: $i] :
( ( ( ~ ( in @ SV166 @ SV79 )
| ( SV129 @ SV166 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK33_Xx @ SV129 @ SV79 ) @ SV79 )
| ~ ~ ( SV129 @ ( sK33_Xx @ SV129 @ SV79 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(632,plain,
! [SV80: $i,SV130: $i] :
( ( ( ~ ( in @ ( sK62_Xx @ SV130 @ SV80 ) @ SV80 )
| ~ ~ ( in @ ( sK62_Xx @ SV130 @ SV80 ) @ SV130 ) )
= $false )
| ( ( subset @ SV80 @ SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(633,plain,
! [SV2: $i,SV167: $i,SV82: $i] :
( ( ( ~ ( subset @ SV82 @ SV167 )
| ( subset @ SV2 @ SV167 ) )
= $true )
| ( ( subset @ SV2 @ SV82 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(634,plain,
! [SV83: $i,SV4: $i,SV131: $i] :
( ( ( in @ SV131 @ SV4 )
= $false )
| ( ( ( in @ SV131 @ SV83 )
| ( SV4 != SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(635,plain,
! [SV85: $i,SV6: $i,SV132: $i] :
( ( ( in @ SV132 @ SV6 )
= $false )
| ( ( ( in @ SV132 @ SV85 )
| ~ ( subset @ SV6 @ SV85 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(636,plain,
! [SV7: $i,SV86: $i,SV168: $i] :
( ( ( ( in @ SV168 @ SV86 )
| ~ ( in @ SV168 @ SV7 ) )
= $true )
| ( ( subset @ SV7 @ SV86 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(637,plain,
! [SV87: $i,SV8: $i,SV169: $i] :
( ( ( ~ ( in @ SV169 @ SV8 )
| ( in @ SV169 @ SV87 ) )
= $true )
| ( ( subset @ SV8 @ SV87 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(638,plain,
! [SV92: $i,SV14: $i,SV170: $i] :
( ( ( ! [SY860: $i] :
( ( SV170 != SY860 )
| ( ( setadjoin @ SV14 @ SV170 )
= ( setadjoin @ SV92 @ SY860 ) ) ) )
= $true )
| ( ( SV14 = SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(639,plain,
! [SV93: $i,SV15: $i,SV171: $i] :
( ( ( ! [SY861: $i] :
( ( SV171 != SY861 )
| ~ ( in @ SV171 @ SV15 )
| ( in @ SY861 @ SV93 ) ) )
= $true )
| ( ( SV15 = SV93 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(640,plain,
! [SV19: $i,SV156: $i,SV95: $i > $o] :
( ( ( ~ ( SV95 @ SV156 ) )
= $true )
| ( ( ~ ( in @ SV156 @ SV19 ) )
= $true )
| ( ( ( dsetconstr @ SV19
@ ^ [SY798: $i] : ( SV95 @ SY798 ) )
!= emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(641,plain,
! [SV98: $i,SV22: $i,SV133: $i] :
( ( ( in @ SV133 @ ( setadjoin @ SV22 @ ( setadjoin @ SV98 @ emptyset ) ) )
= $false )
| ( ( ( SV133 = SV22 )
| ( SV133 = SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(642,plain,
! [SV29: $i,SV134: $i,SV104: $i] :
( ( ( in @ SV104 @ SV134 )
= $false )
| ( ( ~ ( in @ SV134 @ SV29 )
| ( in @ SV104 @ ( setunion @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(643,plain,
! [SV30: $i,SV105: $i,SV172: $i] :
( ( ( ~ ( in @ SV172 @ SV105 )
| ( in @ SV172 @ SV30 ) )
= $true )
| ( ( in @ SV105 @ ( powerset @ SV30 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(644,plain,
! [SV106: $i,SV34: $i,SV135: $i] :
( ( ( in @ SV135 @ ( setadjoin @ SV34 @ SV106 ) )
= $false )
| ( ( ( SV135 = SV34 )
| ( in @ SV135 @ SV106 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(645,plain,
! [SV35: $i,SV107: $i,SV136: $i] :
( ( ( in @ SV136 @ SV107 )
= $false )
| ( ( in @ SV136 @ ( setadjoin @ SV35 @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(646,plain,
! [SV137: $i,SV37: $i] :
( ( ( SV37 = emptyset )
= $false )
| ( ( in @ SV137 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(647,plain,
! [SV109: $i > $o,SV38: $i,SV138: $i] :
( ( ( in @ SV138 @ SV38 )
= $false )
| ( ( ~ ( SV109 @ SV138 )
| ( ( dsetconstr @ SV38
@ ^ [SY805: $i] : ( SV109 @ SY805 ) )
!= emptyset ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(648,plain,
! [SV111: $i > $o,SV45: $i,SV142: $i] :
( ( ( in @ SV142
@ ( dsetconstr @ SV45
@ ^ [SY807: $i] : ( SV111 @ SY807 ) ) )
= $false )
| ( ( SV111 @ SV142 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(649,plain,
! [SV112: $i > $o,SV46: $i,SV143: $i] :
( ( ( in @ SV143
@ ( dsetconstr @ SV46
@ ^ [SY809: $i] : ( SV112 @ SY809 ) ) )
= $false )
| ( ( in @ SV143 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(650,plain,
! [SV113: $i > $o,SV47: $i,SV144: $i] :
( ( ( in @ SV144 @ SV47 )
= $false )
| ( ( ~ ( SV113 @ SV144 )
| ( in @ SV144
@ ( dsetconstr @ SV47
@ ^ [SY811: $i] : ( SV113 @ SY811 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(651,plain,
! [SV114: $i > $o,SV50: $i,SV158: $i] :
( ( ( ~ ( in @ SV158 @ SV50 ) )
= $true )
| ( ( SV114 @ SV158 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK38_Xx @ SV114 @ SV50 ) @ SV50 )
| ~ ~ ( SV114 @ ( sK38_Xx @ SV114 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[592]) ).
thf(652,plain,
! [SV145: $i,SV51: $i] :
( ( ( ~ ( in @ ( sK12_B @ SV51 ) @ SV51 )
| ~ ! [SY698: $i] :
( ~ ( in @ SY698 @ ( sK12_B @ SV51 ) )
| ~ ( in @ SY698 @ SV51 ) ) )
= $false )
| ( ( in @ SV145 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(653,plain,
! [SV159: $i > $o,SV173: $i > $o] :
( ( ~ ( ( ( sK53_Xx @ SV173 @ SV159 )
!= ( sK54_SY633 @ SV173 @ SV159 ) )
| ~ ~ ( ~ ( ~ ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ~ ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) )
| ~ ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) ) ) )
| ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(654,plain,
! [SV160: $i > $o,SV174: $i > $o] :
( ( ~ ( ( ( sK49_Xx @ SV174 @ SV160 )
!= ( sK50_SY631 @ SV174 @ SV160 ) )
| ~ ~ ( ~ ( ~ ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ~ ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) )
| ~ ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) ) ) )
| ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(655,plain,
! [SV175: $i,SV52: $i] :
( ( ! [SY866: $i] :
( ~ ( in @ SY866 @ ( setadjoin @ SV52 @ SV175 ) )
| ( SY866 = SV52 )
| ( in @ SY866 @ SV175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(656,plain,
! [SV52: $i] :
( ( ~ ! [SY701: $i,SY702: $i] :
( ( SY702 != SV52 )
| ( in @ SY702 @ ( setadjoin @ SV52 @ SY701 ) ) )
| ~ ! [SY703: $i,SY704: $i] :
( ~ ( in @ SY704 @ SY703 )
| ( in @ SY704 @ ( setadjoin @ SV52 @ SY703 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(657,plain,
! [SV53: $i,SV115: $i] :
( ( ( ~ ( in @ ( sK28_Xx @ SV115 @ SV53 ) @ SV115 ) )
= $false )
| ( ( in @ SV115 @ ( powerset @ SV53 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(658,plain,
! [SV53: $i,SV115: $i] :
( ( ( ~ ~ ( in @ ( sK28_Xx @ SV115 @ SV53 ) @ SV53 ) )
= $false )
| ( ( in @ SV115 @ ( powerset @ SV53 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(659,plain,
! [SV116: $i,SV54: $i] :
( ( ( ~ ! [SY813: $i,SY814: $i] :
( ( SY813 != SY814 )
| ~ ( in @ SY813 @ SV54 )
| ( in @ SY814 @ SV116 ) )
| ~ ! [SY815: $i,SY816: $i] :
( ( SY815 != SY816 )
| ~ ( in @ SY816 @ SV116 )
| ( in @ SY815 @ SV54 ) ) )
= $false )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(660,plain,
! [SV117: $i > $o,SV55: $i,SV161: $i] :
( ( ( ~ ( in @ SV161 @ SV55 ) )
= $true )
| ( ( SV117 @ SV161 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK36_Xx @ SV117 @ SV55 ) @ SV55 )
| ~ ~ ( SV117 @ ( sK36_Xx @ SV117 @ SV55 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[600]) ).
thf(661,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( ~ ( SV56 @ ( sK40_Xy @ SV146 @ SV56 ) )
| ~ ( ( SV146
!= ( sK40_Xy @ SV146 @ SV56 ) ) ) )
= $false )
| ( ( ~ ( SV56 @ SV146 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) )
| ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(662,plain,
! [SV57: $i,SV118: $i] :
( ( ( ~ ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV57 ) )
= $false )
| ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 )
| ~ ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) )
| ( SV57 = SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(663,plain,
! [SV57: $i,SV118: $i] :
( ( ( ~ ~ ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV118 ) )
= $false )
| ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 )
| ~ ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) )
| ( SV57 = SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(664,plain,
! [SV58: $i,SV119: $i > $o] :
( ( ( ~ ( SV119 @ ( sK35_Xx @ SV119 @ SV58 ) ) )
= $false )
| ( ( ! [SY818: $i] :
( ~ ( in @ SY818 @ SV58 )
| ~ ( SV119 @ SY818 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[603]) ).
thf(665,plain,
! [SV58: $i,SV119: $i > $o] :
( ( ( ~ ( in @ ( sK35_Xx @ SV119 @ SV58 ) @ SV58 ) )
= $false )
| ( ( ! [SY818: $i] :
( ~ ( in @ SY818 @ SV58 )
| ~ ( SV119 @ SY818 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[603]) ).
thf(666,plain,
! [SV59: $i,SV120: $i] :
( ( ( ~ ( in @ ( sK63_Xx @ SV120 @ SV59 ) @ SV59 ) )
= $false )
| ( ( subset @ SV59 @ SV120 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[604]) ).
thf(667,plain,
! [SV59: $i,SV120: $i] :
( ( ( ~ ~ ( in @ ( sK63_Xx @ SV120 @ SV59 ) @ SV120 ) )
= $false )
| ( ( subset @ SV59 @ SV120 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[604]) ).
thf(668,plain,
! [SV162: $i,SV176: $i] :
( ( ~ ( ~ ( in @ ( sK5_Xx @ SV176 @ SV162 ) @ SV176 )
| ~ ~ ( in @ ( sK5_Xx @ SV176 @ SV162 ) @ SV162 ) )
| ( in @ SV176 @ ( powerset @ SV162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(669,plain,
! [SV163: $i,SV177: $i] :
( ( ~ ( in @ SV177 @ ( powerset @ SV163 ) )
| ! [SY867: $i] :
( ~ ( in @ SY867 @ SV177 )
| ( in @ SY867 @ SV163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(670,plain,
! [SV178: $i > $o,SV60: $i] :
( ( ! [SY868: $i] :
( ~ ( in @ SY868 @ SV60 )
| ~ ( SV178 @ SY868 )
| ( in @ SY868
@ ( dsetconstr @ SV60
@ ^ [SY869: $i] : ( SV178 @ SY869 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(671,plain,
! [SV179: $i > $o,SV60: $i] :
( ( ! [SY870: $i] :
( ~ ( in @ SY870 @ SV60 )
| ~ ( in @ SY870
@ ( dsetconstr @ SV60
@ ^ [SY871: $i] : ( SV179 @ SY871 ) ) )
| ( SV179 @ SY870 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(672,plain,
! [SV61: $i > $o,SV121: $i > $o] :
( ( ( ( sK58_Xx @ SV121 @ SV61 )
!= ( sK59_SY634 @ SV121 @ SV61 ) )
= $false )
| ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[609]) ).
thf(673,plain,
! [SV121: $i > $o,SV61: $i > $o] :
( ( ( ~ ~ ( ~ ( ~ ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ~ ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) )
| ~ ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) ) ) )
= $false )
| ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[609]) ).
thf(674,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o] :
( ( ( ! [SY872: $i > $o] :
( ~ ( ~ ( in @ ( sK60_Xx @ SY872 @ SV180 @ SV122 @ SV62 ) @ SV62 )
| ~ ~ ( ~ ( in @ ( sK61_SY635 @ SY872 @ SV180 @ SV122 @ SV62 ) @ SV122 )
| ~ ~ ( ( ( sK60_Xx @ SY872 @ SV180 @ SV122 @ SV62 )
!= ( sK61_SY635 @ SY872 @ SV180 @ SV122 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SV180 @ ( sK60_Xx @ SY872 @ SV180 @ SV122 @ SV62 ) )
| ~ ( SY872 @ ( sK61_SY635 @ SY872 @ SV180 @ SV122 @ SV62 ) ) )
| ~ ( ( SV180 @ ( sK60_Xx @ SY872 @ SV180 @ SV122 @ SV62 ) )
| ( SY872 @ ( sK61_SY635 @ SY872 @ SV180 @ SV122 @ SV62 ) ) ) ) ) ) )
| ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SX4: $i] : ( SY872 @ SX4 ) ) ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(675,plain,
! [SV147: $i,SV63: $i > $o] :
( ( ( ~ ( SV63 @ ( sK46_SY222 @ SV147 @ SV63 ) )
| ~ ( ( SV147
!= ( sK46_SY222 @ SV147 @ SV63 ) ) ) )
= $false )
| ( ( ~ ( SV63 @ SV147 ) )
= $true )
| ( ( ! [SY736: $i] :
( ~ ( SV63 @ SY736 )
| ! [SY737: $i] :
( ~ ( SV63 @ SY737 )
| ( SY736 = SY737 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(676,plain,
! [SV64: $i > $o,SV148: $i] :
( ( ( ~ ( ( ( sK45_Xy @ SV148 @ SV64 )
!= SV148 )
| ~ ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) )
| ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(677,plain,
! [SV64: $i > $o,SV148: $i] :
( ( ( ~ ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
| ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) )
| ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(678,plain,
! [SV65: $i,SV123: $i > $o] :
( ( ( ~ ( in @ ( sK34_Xx @ SV123 @ SV65 ) @ SV65 ) )
= $false )
| ( ( ! [SY827: $i] :
( ~ ( SV123 @ SY827 )
| ~ ( in @ SY827 @ SV65 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[613]) ).
thf(679,plain,
! [SV65: $i,SV123: $i > $o] :
( ( ( ~ ( SV123 @ ( sK34_Xx @ SV123 @ SV65 ) ) )
= $false )
| ( ( ! [SY827: $i] :
( ~ ( SV123 @ SY827 )
| ~ ( in @ SY827 @ SV65 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[613]) ).
thf(680,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( ~ ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
| ~ ( ( SV149
!= ( sK31_SY140 @ SV149 @ SV66 ) ) ) )
= $false )
| ( ( ~ ( SV66 @ SV149 ) )
= $true )
| ( ( ~ ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) )
| ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(681,plain,
! [SV164: $i,SV181: $i] :
( ( ! [SY875: $i] :
( ~ ( in @ SV181 @ SY875 )
| ~ ( in @ SY875 @ SV164 ) )
| ( in @ SV181 @ ( setunion @ SV164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(682,plain,
! [SV165: $i,SV182: $i] :
( ( ~ ( in @ SV182 @ ( setunion @ SV165 ) )
| ~ ( ~ ( in @ SV182 @ ( sK6_B @ SV182 @ SV165 ) )
| ~ ( in @ ( sK6_B @ SV182 @ SV165 ) @ SV165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(683,plain,
! [SV67: $i,SV183: $o,SV124: $i] :
( ( ( ~ ( ~ ( in @ SV124 @ ( sK29_B @ SV183 @ SV124 @ SV67 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ SV183 @ SV124 @ SV67 ) @ SV67 )
| ~ ~ SV183 ) )
| SV183 )
= $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[618]) ).
thf(684,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ( ~ ( in @ SV124 @ ( sK29_B @ $true @ SV124 @ SV67 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ $true @ SV124 @ SV67 ) @ SV67 )
| ~ ~ $true ) )
| $true )
= $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[618]) ).
thf(685,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ( ~ ( in @ SV124 @ ( sK29_B @ $false @ SV124 @ SV67 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ $false @ SV124 @ SV67 ) @ SV67 )
| ~ ~ $false ) )
| $false )
= $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[618]) ).
thf(686,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ( ~ ( SV68 @ ( sK42_Xx @ SV68 ) )
| ~ ~ ( ~ ( SV68 @ ( sK43_SY628 @ SV68 ) )
| ~ ( ( ( sK42_Xx @ SV68 )
!= ( sK43_SY628 @ SV68 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[619]) ).
thf(687,plain,
! [SV69: $i > $i > $o,SV125: $i] :
( ( ( ~ ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 ) )
= $false )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(688,plain,
! [SV125: $i,SV69: $i > $i > $o] :
( ( ( ~ ! [SY829: $i] :
( ~ ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SY829 @ SV125 @ SV69 ) )
| ~ ( ( SY829
!= ( sK11_SY597 @ SY829 @ SV125 @ SV69 ) ) ) )
| ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SY829 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(689,plain,
! [SV70: $i,SV126: $i] :
( ( ( ~ ( ~ ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV70 )
| ~ ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV126 ) ) )
= $false )
| ( ( SV70 = SV126 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[621]) ).
thf(690,plain,
! [SV70: $i,SV126: $i] :
( ( ( ~ ( ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV70 )
| ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV126 ) ) )
= $false )
| ( ( SV70 = SV126 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[621]) ).
thf(691,plain,
! [SV151: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ ( sK55_SY246 @ SV151 @ SV71 ) )
| ~ ( ( SV151
!= ( sK55_SY246 @ SV151 @ SV71 ) ) ) )
= $false )
| ( ( ~ ( SV71 @ SV151 ) )
= $true )
| ( ( ! [SY756: $i] :
( ~ ( SV71 @ SY756 )
| ! [SY757: $i] :
( ~ ( SV71 @ SY757 )
| ( SY756 = SY757 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(692,plain,
! [SV72: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK7_Xx @ SV72 ) @ omega )
| ~ ( in @ ( sK7_Xx @ SV72 ) @ SV72 ) ) )
= $false )
| ( ( ~ ( in @ emptyset @ SV72 ) )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(693,plain,
! [SV72: $i] :
( ( ( ~ ~ ( in @ ( setadjoin @ ( sK7_Xx @ SV72 ) @ ( sK7_Xx @ SV72 ) ) @ SV72 ) )
= $false )
| ( ( ~ ( in @ emptyset @ SV72 ) )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(694,plain,
! [SV73: $i,SV127: $i > $o] :
( ( ( ~ ( SV127 @ ( sK37_Xx @ SV127 @ SV73 ) ) )
= $false )
| ( ( ! [SY833: $i] :
( ~ ( in @ SY833 @ SV73 )
| ~ ( SV127 @ SY833 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(695,plain,
! [SV73: $i,SV127: $i > $o] :
( ( ( ~ ( in @ ( sK37_Xx @ SV127 @ SV73 ) @ SV73 ) )
= $false )
| ( ( ! [SY833: $i] :
( ~ ( in @ SY833 @ SV73 )
| ~ ( SV127 @ SY833 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(696,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( SV152 = SV74 )
| ( in @ SV152 @ SV128 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SV152 = SV74 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
| ~ ~ ( ~ ! [SY846: $o] :
( ~ SY846
| ( in @ SV152 @ SV128 )
| SY846 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(697,plain,
! [SV75: $i,SV184: $i] :
( ( ~ ( ~ ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
| ~ ~ ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 ) )
| ! [SY876: $i] :
~ ( in @ SY876 @ SV184 )
| ~ ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(698,plain,
! [SV75: $i] :
( ( ~ ! [SY772: $i,SY773: $i] :
( ~ ( in @ SY772 @ ( sK13_B @ SV75 ) )
| ~ ( in @ SY773 @ ( sK13_B @ SV75 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY772 )
| ( in @ SX3 @ SY773 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY773 )
| ( in @ SX3 @ SY772 ) ) )
| ~ ~ ( ~ ! [SY776: $i] :
( ~ ( in @ SY776 @ ( sK13_B @ SV75 ) )
| ! [SY777: $i] :
( ~ ( in @ SY777 @ SY776 )
| ( in @ SY777 @ SV75 ) ) )
| ~ ! [SY778: $i,SY779: $i] :
( ~ ( in @ SY778 @ SV75 )
| ~ ( in @ SY779 @ SV75 )
| ~ ( ~ ( in @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ~ ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) )
| ~ ( ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) ) ) )
| ( SY778 = SY779 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(699,plain,
! [SV153: $i,SV76: $i > $o] :
( ( ( ~ ( SV76 @ ( sK22_SY84 @ SV153 @ SV76 ) )
| ~ ( ( SV153
!= ( sK22_SY84 @ SV153 @ SV76 ) ) ) )
= $false )
| ( ( ~ ( SV76 @ SV153 ) )
= $true )
| ( ( SV76 @ ( sK21_Xx @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(700,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( ~ ( SV77 @ ( sK20_SY72 @ SV154 @ SV77 ) )
| ~ ( ( SV154
!= ( sK20_SY72 @ SV154 @ SV77 ) ) ) )
= $false )
| ( ( ~ ( SV77 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) )
| ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(701,plain,
! [SV155: $i,SV78: $i > $o] :
( ( ( ~ ( SV78 @ ( sK18_SY55 @ SV155 @ SV78 ) )
| ~ ( ( SV155
!= ( sK18_SY55 @ SV155 @ SV78 ) ) ) )
= $false )
| ( ( ~ ( SV78 @ SV155 ) )
= $true )
| ( ( SV78
@ ( descr
@ ^ [SY784: $i] : ( SV78 @ SY784 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(702,plain,
! [SV129: $i > $o,SV79: $i,SV166: $i] :
( ( ( ~ ( in @ SV166 @ SV79 ) )
= $true )
| ( ( SV129 @ SV166 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK33_Xx @ SV129 @ SV79 ) @ SV79 )
| ~ ~ ( SV129 @ ( sK33_Xx @ SV129 @ SV79 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(703,plain,
! [SV80: $i,SV130: $i] :
( ( ( ~ ( in @ ( sK62_Xx @ SV130 @ SV80 ) @ SV80 ) )
= $false )
| ( ( subset @ SV80 @ SV130 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[632]) ).
thf(704,plain,
! [SV80: $i,SV130: $i] :
( ( ( ~ ~ ( in @ ( sK62_Xx @ SV130 @ SV80 ) @ SV130 ) )
= $false )
| ( ( subset @ SV80 @ SV130 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[632]) ).
thf(705,plain,
! [SV2: $i,SV167: $i,SV82: $i] :
( ( ( ~ ( subset @ SV82 @ SV167 ) )
= $true )
| ( ( subset @ SV2 @ SV167 )
= $true )
| ( ( subset @ SV2 @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(706,plain,
! [SV4: $i,SV83: $i,SV131: $i] :
( ( ( in @ SV131 @ SV83 )
= $true )
| ( ( SV4 != SV83 )
= $true )
| ( ( in @ SV131 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(707,plain,
! [SV6: $i,SV85: $i,SV132: $i] :
( ( ( in @ SV132 @ SV85 )
= $true )
| ( ( ~ ( subset @ SV6 @ SV85 ) )
= $true )
| ( ( in @ SV132 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[635]) ).
thf(708,plain,
! [SV7: $i,SV86: $i,SV168: $i] :
( ( ( in @ SV168 @ SV86 )
= $true )
| ( ( ~ ( in @ SV168 @ SV7 ) )
= $true )
| ( ( subset @ SV7 @ SV86 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(709,plain,
! [SV87: $i,SV8: $i,SV169: $i] :
( ( ( ~ ( in @ SV169 @ SV8 ) )
= $true )
| ( ( in @ SV169 @ SV87 )
= $true )
| ( ( subset @ SV8 @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[637]) ).
thf(710,plain,
! [SV92: $i,SV14: $i,SV185: $i,SV170: $i] :
( ( ( ( SV170 != SV185 )
| ( ( setadjoin @ SV14 @ SV170 )
= ( setadjoin @ SV92 @ SV185 ) ) )
= $true )
| ( ( SV14 = SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(711,plain,
! [SV93: $i,SV15: $i,SV186: $i,SV171: $i] :
( ( ( ( SV171 != SV186 )
| ~ ( in @ SV171 @ SV15 )
| ( in @ SV186 @ SV93 ) )
= $true )
| ( ( SV15 = SV93 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(712,plain,
! [SV19: $i,SV156: $i,SV95: $i > $o] :
( ( ( SV95 @ SV156 )
= $false )
| ( ( ~ ( in @ SV156 @ SV19 ) )
= $true )
| ( ( ( dsetconstr @ SV19
@ ^ [SY798: $i] : ( SV95 @ SY798 ) )
!= emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(713,plain,
! [SV98: $i,SV22: $i,SV133: $i] :
( ( ( SV133 = SV22 )
= $true )
| ( ( SV133 = SV98 )
= $true )
| ( ( in @ SV133 @ ( setadjoin @ SV22 @ ( setadjoin @ SV98 @ emptyset ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(714,plain,
! [SV104: $i,SV29: $i,SV134: $i] :
( ( ( ~ ( in @ SV134 @ SV29 ) )
= $true )
| ( ( in @ SV104 @ ( setunion @ SV29 ) )
= $true )
| ( ( in @ SV104 @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(715,plain,
! [SV30: $i,SV105: $i,SV172: $i] :
( ( ( ~ ( in @ SV172 @ SV105 ) )
= $true )
| ( ( in @ SV172 @ SV30 )
= $true )
| ( ( in @ SV105 @ ( powerset @ SV30 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(716,plain,
! [SV106: $i,SV34: $i,SV135: $i] :
( ( ( SV135 = SV34 )
= $true )
| ( ( in @ SV135 @ SV106 )
= $true )
| ( ( in @ SV135 @ ( setadjoin @ SV34 @ SV106 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[644]) ).
thf(717,plain,
! [SV38: $i,SV138: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ SV138 ) )
= $true )
| ( ( ( dsetconstr @ SV38
@ ^ [SY805: $i] : ( SV109 @ SY805 ) )
!= emptyset )
= $true )
| ( ( in @ SV138 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(718,plain,
! [SV47: $i,SV144: $i,SV113: $i > $o] :
( ( ( ~ ( SV113 @ SV144 ) )
= $true )
| ( ( in @ SV144
@ ( dsetconstr @ SV47
@ ^ [SY811: $i] : ( SV113 @ SY811 ) ) )
= $true )
| ( ( in @ SV144 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(719,plain,
! [SV114: $i > $o,SV50: $i,SV158: $i] :
( ( ( in @ SV158 @ SV50 )
= $false )
| ( ( SV114 @ SV158 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK38_Xx @ SV114 @ SV50 ) @ SV50 )
| ~ ~ ( SV114 @ ( sK38_Xx @ SV114 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(720,plain,
! [SV145: $i,SV51: $i] :
( ( ( ~ ( in @ ( sK12_B @ SV51 ) @ SV51 ) )
= $false )
| ( ( in @ SV145 @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(721,plain,
! [SV145: $i,SV51: $i] :
( ( ( ~ ! [SY698: $i] :
( ~ ( in @ SY698 @ ( sK12_B @ SV51 ) )
| ~ ( in @ SY698 @ SV51 ) ) )
= $false )
| ( ( in @ SV145 @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(722,plain,
! [SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ( ( ( sK53_Xx @ SV173 @ SV159 )
!= ( sK54_SY633 @ SV173 @ SV159 ) )
| ~ ~ ( ~ ( ~ ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ~ ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) )
| ~ ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) ) ) ) )
= $true )
| ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(723,plain,
! [SV160: $i > $o,SV174: $i > $o] :
( ( ( ~ ( ( ( sK49_Xx @ SV174 @ SV160 )
!= ( sK50_SY631 @ SV174 @ SV160 ) )
| ~ ~ ( ~ ( ~ ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ~ ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) )
| ~ ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) ) ) ) )
= $true )
| ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(724,plain,
! [SV175: $i,SV52: $i,SV187: $i] :
( ( ~ ( in @ SV187 @ ( setadjoin @ SV52 @ SV175 ) )
| ( SV187 = SV52 )
| ( in @ SV187 @ SV175 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(725,plain,
! [SV52: $i] :
( ( ~ ! [SY701: $i,SY702: $i] :
( ( SY702 != SV52 )
| ( in @ SY702 @ ( setadjoin @ SV52 @ SY701 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(726,plain,
! [SV52: $i] :
( ( ~ ! [SY703: $i,SY704: $i] :
( ~ ( in @ SY704 @ SY703 )
| ( in @ SY704 @ ( setadjoin @ SV52 @ SY703 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(727,plain,
! [SV53: $i,SV115: $i] :
( ( ( in @ ( sK28_Xx @ SV115 @ SV53 ) @ SV115 )
= $true )
| ( ( in @ SV115 @ ( powerset @ SV53 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[657]) ).
thf(728,plain,
! [SV53: $i,SV115: $i] :
( ( ( ~ ( in @ ( sK28_Xx @ SV115 @ SV53 ) @ SV53 ) )
= $true )
| ( ( in @ SV115 @ ( powerset @ SV53 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[658]) ).
thf(729,plain,
! [SV116: $i,SV54: $i] :
( ( ( ~ ! [SY813: $i,SY814: $i] :
( ( SY813 != SY814 )
| ~ ( in @ SY813 @ SV54 )
| ( in @ SY814 @ SV116 ) ) )
= $false )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(730,plain,
! [SV54: $i,SV116: $i] :
( ( ( ~ ! [SY815: $i,SY816: $i] :
( ( SY815 != SY816 )
| ~ ( in @ SY816 @ SV116 )
| ( in @ SY815 @ SV54 ) ) )
= $false )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(731,plain,
! [SV117: $i > $o,SV55: $i,SV161: $i] :
( ( ( in @ SV161 @ SV55 )
= $false )
| ( ( SV117 @ SV161 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK36_Xx @ SV117 @ SV55 ) @ SV55 )
| ~ ~ ( SV117 @ ( sK36_Xx @ SV117 @ SV55 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(732,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( ~ ( SV56 @ ( sK40_Xy @ SV146 @ SV56 ) ) )
= $false )
| ( ( ~ ( SV56 @ SV146 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) )
| ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(733,plain,
! [SV56: $i > $o,SV146: $i] :
( ( ( ~ ( ( SV146
!= ( sK40_Xy @ SV146 @ SV56 ) ) ) )
= $false )
| ( ( ~ ( SV56 @ SV146 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) )
| ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(734,plain,
! [SV57: $i,SV118: $i] :
( ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV57 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 )
| ~ ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) )
| ( SV57 = SV118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[662]) ).
thf(735,plain,
! [SV57: $i,SV118: $i] :
( ( ( ~ ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV118 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 )
| ~ ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) )
| ( SV57 = SV118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[663]) ).
thf(736,plain,
! [SV58: $i,SV119: $i > $o] :
( ( ( SV119 @ ( sK35_Xx @ SV119 @ SV58 ) )
= $true )
| ( ( ! [SY818: $i] :
( ~ ( in @ SY818 @ SV58 )
| ~ ( SV119 @ SY818 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(737,plain,
! [SV58: $i,SV119: $i > $o] :
( ( ( in @ ( sK35_Xx @ SV119 @ SV58 ) @ SV58 )
= $true )
| ( ( ! [SY818: $i] :
( ~ ( in @ SY818 @ SV58 )
| ~ ( SV119 @ SY818 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(738,plain,
! [SV59: $i,SV120: $i] :
( ( ( in @ ( sK63_Xx @ SV120 @ SV59 ) @ SV59 )
= $true )
| ( ( subset @ SV59 @ SV120 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(739,plain,
! [SV59: $i,SV120: $i] :
( ( ( ~ ( in @ ( sK63_Xx @ SV120 @ SV59 ) @ SV120 ) )
= $true )
| ( ( subset @ SV59 @ SV120 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(740,plain,
! [SV162: $i,SV176: $i] :
( ( ( ~ ( ~ ( in @ ( sK5_Xx @ SV176 @ SV162 ) @ SV176 )
| ~ ~ ( in @ ( sK5_Xx @ SV176 @ SV162 ) @ SV162 ) ) )
= $true )
| ( ( in @ SV176 @ ( powerset @ SV162 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(741,plain,
! [SV163: $i,SV177: $i] :
( ( ( ~ ( in @ SV177 @ ( powerset @ SV163 ) ) )
= $true )
| ( ( ! [SY867: $i] :
( ~ ( in @ SY867 @ SV177 )
| ( in @ SY867 @ SV163 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(742,plain,
! [SV178: $i > $o,SV60: $i,SV188: $i] :
( ( ~ ( in @ SV188 @ SV60 )
| ~ ( SV178 @ SV188 )
| ( in @ SV188
@ ( dsetconstr @ SV60
@ ^ [SY869: $i] : ( SV178 @ SY869 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(743,plain,
! [SV179: $i > $o,SV60: $i,SV189: $i] :
( ( ~ ( in @ SV189 @ SV60 )
| ~ ( in @ SV189
@ ( dsetconstr @ SV60
@ ^ [SY871: $i] : ( SV179 @ SY871 ) ) )
| ( SV179 @ SV189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(744,plain,
! [SV61: $i > $o,SV121: $i > $o] :
( ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[672]) ).
thf(745,plain,
! [SV121: $i > $o,SV61: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ~ ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) )
| ~ ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) ) ) )
= $true )
| ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[673]) ).
thf(746,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) @ SV62 )
| ~ ~ ( ~ ( in @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) @ SV122 )
| ~ ~ ( ( ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 )
!= ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
| ~ ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) ) ) ) ) )
| ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(747,plain,
! [SV147: $i,SV63: $i > $o] :
( ( ( ~ ( SV63 @ ( sK46_SY222 @ SV147 @ SV63 ) ) )
= $false )
| ( ( ~ ( SV63 @ SV147 ) )
= $true )
| ( ( ! [SY736: $i] :
( ~ ( SV63 @ SY736 )
| ! [SY737: $i] :
( ~ ( SV63 @ SY737 )
| ( SY736 = SY737 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(748,plain,
! [SV63: $i > $o,SV147: $i] :
( ( ( ~ ( ( SV147
!= ( sK46_SY222 @ SV147 @ SV63 ) ) ) )
= $false )
| ( ( ~ ( SV63 @ SV147 ) )
= $true )
| ( ( ! [SY736: $i] :
( ~ ( SV63 @ SY736 )
| ! [SY737: $i] :
( ~ ( SV63 @ SY737 )
| ( SY736 = SY737 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(749,plain,
! [SV64: $i > $o,SV148: $i] :
( ( ( ( ( sK45_Xy @ SV148 @ SV64 )
!= SV148 )
| ~ ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) )
| ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(750,plain,
! [SV64: $i > $o,SV148: $i] :
( ( ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
| ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) )
| ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[677]) ).
thf(751,plain,
! [SV65: $i,SV123: $i > $o] :
( ( ( in @ ( sK34_Xx @ SV123 @ SV65 ) @ SV65 )
= $true )
| ( ( ! [SY827: $i] :
( ~ ( SV123 @ SY827 )
| ~ ( in @ SY827 @ SV65 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(752,plain,
! [SV65: $i,SV123: $i > $o] :
( ( ( SV123 @ ( sK34_Xx @ SV123 @ SV65 ) )
= $true )
| ( ( ! [SY827: $i] :
( ~ ( SV123 @ SY827 )
| ~ ( in @ SY827 @ SV65 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(753,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( ~ ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) ) )
= $false )
| ( ( ~ ( SV66 @ SV149 ) )
= $true )
| ( ( ~ ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) )
| ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(754,plain,
! [SV66: $i > $o,SV149: $i] :
( ( ( ~ ( ( SV149
!= ( sK31_SY140 @ SV149 @ SV66 ) ) ) )
= $false )
| ( ( ~ ( SV66 @ SV149 ) )
= $true )
| ( ( ~ ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) )
| ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(755,plain,
! [SV164: $i,SV181: $i] :
( ( ( ! [SY875: $i] :
( ~ ( in @ SV181 @ SY875 )
| ~ ( in @ SY875 @ SV164 ) ) )
= $true )
| ( ( in @ SV181 @ ( setunion @ SV164 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(756,plain,
! [SV165: $i,SV182: $i] :
( ( ( ~ ( in @ SV182 @ ( setunion @ SV165 ) ) )
= $true )
| ( ( ~ ( ~ ( in @ SV182 @ ( sK6_B @ SV182 @ SV165 ) )
| ~ ( in @ ( sK6_B @ SV182 @ SV165 ) @ SV165 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(757,plain,
! [SV67: $i,SV183: $o,SV124: $i] :
( ( ( ~ ( ~ ( in @ SV124 @ ( sK29_B @ SV183 @ SV124 @ SV67 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ SV183 @ SV124 @ SV67 ) @ SV67 )
| ~ ~ SV183 ) ) )
= $true )
| ( SV183 = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(758,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ( ~ ( in @ SV124 @ ( sK29_B @ $true @ SV124 @ SV67 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ $true @ SV124 @ SV67 ) @ SV67 )
| ~ ~ $true ) ) )
= $true )
| ( $true = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(759,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ( ~ ( in @ SV124 @ ( sK29_B @ $false @ SV124 @ SV67 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ $false @ SV124 @ SV67 ) @ SV67 )
| ~ ~ $false ) ) )
= $true )
| ( $false = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(760,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ( SV68 @ ( sK42_Xx @ SV68 ) )
| ~ ~ ( ~ ( SV68 @ ( sK43_SY628 @ SV68 ) )
| ~ ( ( ( sK42_Xx @ SV68 )
!= ( sK43_SY628 @ SV68 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(761,plain,
! [SV69: $i > $i > $o,SV125: $i] :
( ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[687]) ).
thf(762,plain,
! [SV125: $i,SV69: $i > $i > $o] :
( ( ( ! [SY829: $i] :
( ~ ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SY829 @ SV125 @ SV69 ) )
| ~ ( ( SY829
!= ( sK11_SY597 @ SY829 @ SV125 @ SV69 ) ) ) )
| ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SY829 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[688]) ).
thf(763,plain,
! [SV70: $i,SV126: $i] :
( ( ( ~ ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV70 )
| ~ ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV126 ) )
= $true )
| ( ( SV70 = SV126 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(764,plain,
! [SV70: $i,SV126: $i] :
( ( ( ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV70 )
| ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV126 ) )
= $true )
| ( ( SV70 = SV126 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(765,plain,
! [SV151: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ ( sK55_SY246 @ SV151 @ SV71 ) ) )
= $false )
| ( ( ~ ( SV71 @ SV151 ) )
= $true )
| ( ( ! [SY756: $i] :
( ~ ( SV71 @ SY756 )
| ! [SY757: $i] :
( ~ ( SV71 @ SY757 )
| ( SY756 = SY757 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(766,plain,
! [SV71: $i > $o,SV151: $i] :
( ( ( ~ ( ( SV151
!= ( sK55_SY246 @ SV151 @ SV71 ) ) ) )
= $false )
| ( ( ~ ( SV71 @ SV151 ) )
= $true )
| ( ( ! [SY756: $i] :
( ~ ( SV71 @ SY756 )
| ! [SY757: $i] :
( ~ ( SV71 @ SY757 )
| ( SY756 = SY757 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(767,plain,
! [SV72: $i] :
( ( ( ~ ( ~ ( in @ ( sK7_Xx @ SV72 ) @ omega )
| ~ ( in @ ( sK7_Xx @ SV72 ) @ SV72 ) ) )
= $true )
| ( ( ~ ( in @ emptyset @ SV72 ) )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[692]) ).
thf(768,plain,
! [SV72: $i] :
( ( ( ~ ( in @ ( setadjoin @ ( sK7_Xx @ SV72 ) @ ( sK7_Xx @ SV72 ) ) @ SV72 ) )
= $true )
| ( ( ~ ( in @ emptyset @ SV72 ) )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(769,plain,
! [SV73: $i,SV127: $i > $o] :
( ( ( SV127 @ ( sK37_Xx @ SV127 @ SV73 ) )
= $true )
| ( ( ! [SY833: $i] :
( ~ ( in @ SY833 @ SV73 )
| ~ ( SV127 @ SY833 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(770,plain,
! [SV73: $i,SV127: $i > $o] :
( ( ( in @ ( sK37_Xx @ SV127 @ SV73 ) @ SV73 )
= $true )
| ( ( ! [SY833: $i] :
( ~ ( in @ SY833 @ SV73 )
| ~ ( SV127 @ SY833 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[695]) ).
thf(771,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ ~ ( ~ ( ( SV152 = SV74 )
| ( in @ SV152 @ SV128 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SV152 = SV74 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
| ~ ~ ( ~ ! [SY846: $o] :
( ~ SY846
| ( in @ SV152 @ SV128 )
| SY846 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) )
= $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(772,plain,
! [SV75: $i,SV184: $i] :
( ( ( ~ ( ~ ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
| ~ ~ ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 ) )
| ! [SY876: $i] :
~ ( in @ SY876 @ SV184 ) )
= $true )
| ( ( ~ ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[697]) ).
thf(773,plain,
! [SV75: $i] :
( ( ~ ! [SY772: $i,SY773: $i] :
( ~ ( in @ SY772 @ ( sK13_B @ SV75 ) )
| ~ ( in @ SY773 @ ( sK13_B @ SV75 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY772 )
| ( in @ SX3 @ SY773 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY773 )
| ( in @ SX3 @ SY772 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(774,plain,
! [SV75: $i] :
( ( ~ ~ ( ~ ! [SY776: $i] :
( ~ ( in @ SY776 @ ( sK13_B @ SV75 ) )
| ! [SY777: $i] :
( ~ ( in @ SY777 @ SY776 )
| ( in @ SY777 @ SV75 ) ) )
| ~ ! [SY778: $i,SY779: $i] :
( ~ ( in @ SY778 @ SV75 )
| ~ ( in @ SY779 @ SV75 )
| ~ ( ~ ( in @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ~ ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) )
| ~ ( ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) ) ) )
| ( SY778 = SY779 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(775,plain,
! [SV153: $i,SV76: $i > $o] :
( ( ( ~ ( SV76 @ ( sK22_SY84 @ SV153 @ SV76 ) ) )
= $false )
| ( ( ~ ( SV76 @ SV153 ) )
= $true )
| ( ( SV76 @ ( sK21_Xx @ SV76 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(776,plain,
! [SV76: $i > $o,SV153: $i] :
( ( ( ~ ( ( SV153
!= ( sK22_SY84 @ SV153 @ SV76 ) ) ) )
= $false )
| ( ( ~ ( SV76 @ SV153 ) )
= $true )
| ( ( SV76 @ ( sK21_Xx @ SV76 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(777,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( ~ ( SV77 @ ( sK20_SY72 @ SV154 @ SV77 ) ) )
= $false )
| ( ( ~ ( SV77 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) )
| ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[700]) ).
thf(778,plain,
! [SV77: $i > $o,SV154: $i] :
( ( ( ~ ( ( SV154
!= ( sK20_SY72 @ SV154 @ SV77 ) ) ) )
= $false )
| ( ( ~ ( SV77 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) )
| ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[700]) ).
thf(779,plain,
! [SV155: $i,SV78: $i > $o] :
( ( ( ~ ( SV78 @ ( sK18_SY55 @ SV155 @ SV78 ) ) )
= $false )
| ( ( ~ ( SV78 @ SV155 ) )
= $true )
| ( ( SV78
@ ( descr
@ ^ [SY784: $i] : ( SV78 @ SY784 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[701]) ).
thf(780,plain,
! [SV78: $i > $o,SV155: $i] :
( ( ( ~ ( ( SV155
!= ( sK18_SY55 @ SV155 @ SV78 ) ) ) )
= $false )
| ( ( ~ ( SV78 @ SV155 ) )
= $true )
| ( ( SV78
@ ( descr
@ ^ [SY784: $i] : ( SV78 @ SY784 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[701]) ).
thf(781,plain,
! [SV129: $i > $o,SV79: $i,SV166: $i] :
( ( ( in @ SV166 @ SV79 )
= $false )
| ( ( SV129 @ SV166 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK33_Xx @ SV129 @ SV79 ) @ SV79 )
| ~ ~ ( SV129 @ ( sK33_Xx @ SV129 @ SV79 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(782,plain,
! [SV80: $i,SV130: $i] :
( ( ( in @ ( sK62_Xx @ SV130 @ SV80 ) @ SV80 )
= $true )
| ( ( subset @ SV80 @ SV130 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(783,plain,
! [SV80: $i,SV130: $i] :
( ( ( ~ ( in @ ( sK62_Xx @ SV130 @ SV80 ) @ SV130 ) )
= $true )
| ( ( subset @ SV80 @ SV130 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[704]) ).
thf(784,plain,
! [SV2: $i,SV167: $i,SV82: $i] :
( ( ( subset @ SV82 @ SV167 )
= $false )
| ( ( subset @ SV2 @ SV167 )
= $true )
| ( ( subset @ SV2 @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(785,plain,
! [SV131: $i,SV83: $i,SV4: $i] :
( ( ( SV4 = SV83 )
= $false )
| ( ( in @ SV131 @ SV83 )
= $true )
| ( ( in @ SV131 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(786,plain,
! [SV132: $i,SV85: $i,SV6: $i] :
( ( ( subset @ SV6 @ SV85 )
= $false )
| ( ( in @ SV132 @ SV85 )
= $true )
| ( ( in @ SV132 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(787,plain,
! [SV86: $i,SV7: $i,SV168: $i] :
( ( ( in @ SV168 @ SV7 )
= $false )
| ( ( in @ SV168 @ SV86 )
= $true )
| ( ( subset @ SV7 @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(788,plain,
! [SV87: $i,SV8: $i,SV169: $i] :
( ( ( in @ SV169 @ SV8 )
= $false )
| ( ( in @ SV169 @ SV87 )
= $true )
| ( ( subset @ SV8 @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(789,plain,
! [SV92: $i,SV14: $i,SV185: $i,SV170: $i] :
( ( ( SV170 != SV185 )
= $true )
| ( ( ( setadjoin @ SV14 @ SV170 )
= ( setadjoin @ SV92 @ SV185 ) )
= $true )
| ( ( SV14 = SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(790,plain,
! [SV93: $i,SV15: $i,SV186: $i,SV171: $i] :
( ( ( SV171 != SV186 )
= $true )
| ( ( ~ ( in @ SV171 @ SV15 )
| ( in @ SV186 @ SV93 ) )
= $true )
| ( ( SV15 = SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(791,plain,
! [SV95: $i > $o,SV19: $i,SV156: $i] :
( ( ( in @ SV156 @ SV19 )
= $false )
| ( ( SV95 @ SV156 )
= $false )
| ( ( ( dsetconstr @ SV19
@ ^ [SY798: $i] : ( SV95 @ SY798 ) )
!= emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(792,plain,
! [SV104: $i,SV29: $i,SV134: $i] :
( ( ( in @ SV134 @ SV29 )
= $false )
| ( ( in @ SV104 @ ( setunion @ SV29 ) )
= $true )
| ( ( in @ SV104 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(793,plain,
! [SV30: $i,SV105: $i,SV172: $i] :
( ( ( in @ SV172 @ SV105 )
= $false )
| ( ( in @ SV172 @ SV30 )
= $true )
| ( ( in @ SV105 @ ( powerset @ SV30 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(794,plain,
! [SV38: $i,SV138: $i,SV109: $i > $o] :
( ( ( SV109 @ SV138 )
= $false )
| ( ( ( dsetconstr @ SV38
@ ^ [SY805: $i] : ( SV109 @ SY805 ) )
!= emptyset )
= $true )
| ( ( in @ SV138 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(795,plain,
! [SV47: $i,SV144: $i,SV113: $i > $o] :
( ( ( SV113 @ SV144 )
= $false )
| ( ( in @ SV144
@ ( dsetconstr @ SV47
@ ^ [SY811: $i] : ( SV113 @ SY811 ) ) )
= $true )
| ( ( in @ SV144 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(796,plain,
! [SV158: $i,SV50: $i,SV114: $i > $o] :
( ( ( ~ ( in @ ( sK38_Xx @ SV114 @ SV50 ) @ SV50 )
| ~ ~ ( SV114 @ ( sK38_Xx @ SV114 @ SV50 ) ) )
= $false )
| ( ( SV114 @ SV158 )
= $true )
| ( ( in @ SV158 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(797,plain,
! [SV145: $i,SV51: $i] :
( ( ( in @ ( sK12_B @ SV51 ) @ SV51 )
= $true )
| ( ( in @ SV145 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(798,plain,
! [SV145: $i,SV51: $i] :
( ( ( ! [SY698: $i] :
( ~ ( in @ SY698 @ ( sK12_B @ SV51 ) )
| ~ ( in @ SY698 @ SV51 ) ) )
= $true )
| ( ( in @ SV145 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[721]) ).
thf(799,plain,
! [SV159: $i > $o,SV173: $i > $o] :
( ( ( ( ( sK53_Xx @ SV173 @ SV159 )
!= ( sK54_SY633 @ SV173 @ SV159 ) )
| ~ ~ ( ~ ( ~ ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ~ ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) )
| ~ ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) ) ) )
= $false )
| ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(800,plain,
! [SV160: $i > $o,SV174: $i > $o] :
( ( ( ( ( sK49_Xx @ SV174 @ SV160 )
!= ( sK50_SY631 @ SV174 @ SV160 ) )
| ~ ~ ( ~ ( ~ ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ~ ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) )
| ~ ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) ) ) )
= $false )
| ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(801,plain,
! [SV175: $i,SV52: $i,SV187: $i] :
( ( ( ~ ( in @ SV187 @ ( setadjoin @ SV52 @ SV175 ) ) )
= $true )
| ( ( ( SV187 = SV52 )
| ( in @ SV187 @ SV175 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[724]) ).
thf(802,plain,
! [SV52: $i] :
( ( ! [SY701: $i,SY702: $i] :
( ( SY702 != SV52 )
| ( in @ SY702 @ ( setadjoin @ SV52 @ SY701 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[725]) ).
thf(803,plain,
! [SV52: $i] :
( ( ! [SY703: $i,SY704: $i] :
( ~ ( in @ SY704 @ SY703 )
| ( in @ SY704 @ ( setadjoin @ SV52 @ SY703 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[726]) ).
thf(804,plain,
! [SV53: $i,SV115: $i] :
( ( ( in @ ( sK28_Xx @ SV115 @ SV53 ) @ SV53 )
= $false )
| ( ( in @ SV115 @ ( powerset @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(805,plain,
! [SV116: $i,SV54: $i] :
( ( ( ! [SY813: $i,SY814: $i] :
( ( SY813 != SY814 )
| ~ ( in @ SY813 @ SV54 )
| ( in @ SY814 @ SV116 ) ) )
= $true )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(806,plain,
! [SV54: $i,SV116: $i] :
( ( ( ! [SY815: $i,SY816: $i] :
( ( SY815 != SY816 )
| ~ ( in @ SY816 @ SV116 )
| ( in @ SY815 @ SV54 ) ) )
= $true )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[730]) ).
thf(807,plain,
! [SV161: $i,SV55: $i,SV117: $i > $o] :
( ( ( ~ ( in @ ( sK36_Xx @ SV117 @ SV55 ) @ SV55 )
| ~ ~ ( SV117 @ ( sK36_Xx @ SV117 @ SV55 ) ) )
= $false )
| ( ( SV117 @ SV161 )
= $true )
| ( ( in @ SV161 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(808,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( SV56 @ ( sK40_Xy @ SV146 @ SV56 ) )
= $true )
| ( ( ~ ( SV56 @ SV146 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) )
| ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(809,plain,
! [SV56: $i > $o,SV146: $i] :
( ( ( SV146
!= ( sK40_Xy @ SV146 @ SV56 ) )
= $true )
| ( ( ~ ( SV56 @ SV146 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) )
| ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(810,plain,
! [SV57: $i,SV118: $i] :
( ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 )
| ~ ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) ) )
= $true )
| ( ( SV57 = SV118 )
= $true )
| ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(811,plain,
! [SV57: $i,SV118: $i] :
( ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV118 )
= $false )
| ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 )
| ~ ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) )
| ( SV57 = SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(812,plain,
! [SV119: $i > $o,SV58: $i,SV191: $i] :
( ( ( ~ ( in @ SV191 @ SV58 )
| ~ ( SV119 @ SV191 ) )
= $true )
| ( ( SV119 @ ( sK35_Xx @ SV119 @ SV58 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(813,plain,
! [SV119: $i > $o,SV58: $i,SV192: $i] :
( ( ( ~ ( in @ SV192 @ SV58 )
| ~ ( SV119 @ SV192 ) )
= $true )
| ( ( in @ ( sK35_Xx @ SV119 @ SV58 ) @ SV58 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(814,plain,
! [SV59: $i,SV120: $i] :
( ( ( in @ ( sK63_Xx @ SV120 @ SV59 ) @ SV120 )
= $false )
| ( ( subset @ SV59 @ SV120 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(815,plain,
! [SV162: $i,SV176: $i] :
( ( ( ~ ( in @ ( sK5_Xx @ SV176 @ SV162 ) @ SV176 )
| ~ ~ ( in @ ( sK5_Xx @ SV176 @ SV162 ) @ SV162 ) )
= $false )
| ( ( in @ SV176 @ ( powerset @ SV162 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(816,plain,
! [SV163: $i,SV177: $i] :
( ( ( in @ SV177 @ ( powerset @ SV163 ) )
= $false )
| ( ( ! [SY867: $i] :
( ~ ( in @ SY867 @ SV177 )
| ( in @ SY867 @ SV163 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(817,plain,
! [SV178: $i > $o,SV60: $i,SV188: $i] :
( ( ( ~ ( in @ SV188 @ SV60 ) )
= $true )
| ( ( ~ ( SV178 @ SV188 )
| ( in @ SV188
@ ( dsetconstr @ SV60
@ ^ [SY869: $i] : ( SV178 @ SY869 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(818,plain,
! [SV179: $i > $o,SV60: $i,SV189: $i] :
( ( ( ~ ( in @ SV189 @ SV60 ) )
= $true )
| ( ( ~ ( in @ SV189
@ ( dsetconstr @ SV60
@ ^ [SY871: $i] : ( SV179 @ SY871 ) ) )
| ( SV179 @ SV189 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[743]) ).
thf(819,plain,
! [SV121: $i > $o,SV61: $i > $o] :
( ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(820,plain,
! [SV121: $i > $o,SV61: $i > $o] :
( ( ( ~ ( ~ ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ~ ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) )
| ~ ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(821,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) @ SV62 )
| ~ ~ ( ~ ( in @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) @ SV122 )
| ~ ~ ( ( ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 )
!= ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
| ~ ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) ) ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(822,plain,
! [SV147: $i,SV63: $i > $o] :
( ( ( SV63 @ ( sK46_SY222 @ SV147 @ SV63 ) )
= $true )
| ( ( ~ ( SV63 @ SV147 ) )
= $true )
| ( ( ! [SY736: $i] :
( ~ ( SV63 @ SY736 )
| ! [SY737: $i] :
( ~ ( SV63 @ SY737 )
| ( SY736 = SY737 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[747]) ).
thf(823,plain,
! [SV63: $i > $o,SV147: $i] :
( ( ( SV147
!= ( sK46_SY222 @ SV147 @ SV63 ) )
= $true )
| ( ( ~ ( SV63 @ SV147 ) )
= $true )
| ( ( ! [SY736: $i] :
( ~ ( SV63 @ SY736 )
| ! [SY737: $i] :
( ~ ( SV63 @ SY737 )
| ( SY736 = SY737 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[748]) ).
thf(824,plain,
! [SV64: $i > $o,SV148: $i] :
( ( ( ( sK45_Xy @ SV148 @ SV64 )
!= SV148 )
= $true )
| ( ( ~ ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) )
| ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(825,plain,
! [SV64: $i > $o,SV148: $i] :
( ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $true )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $true )
| ( ( ~ ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) )
| ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[750]) ).
thf(826,plain,
! [SV65: $i,SV193: $i,SV123: $i > $o] :
( ( ( ~ ( SV123 @ SV193 )
| ~ ( in @ SV193 @ SV65 ) )
= $true )
| ( ( in @ ( sK34_Xx @ SV123 @ SV65 ) @ SV65 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(827,plain,
! [SV65: $i,SV194: $i,SV123: $i > $o] :
( ( ( ~ ( SV123 @ SV194 )
| ~ ( in @ SV194 @ SV65 ) )
= $true )
| ( ( SV123 @ ( sK34_Xx @ SV123 @ SV65 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(828,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
= $true )
| ( ( ~ ( SV66 @ SV149 ) )
= $true )
| ( ( ~ ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) )
| ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(829,plain,
! [SV66: $i > $o,SV149: $i] :
( ( ( SV149
!= ( sK31_SY140 @ SV149 @ SV66 ) )
= $true )
| ( ( ~ ( SV66 @ SV149 ) )
= $true )
| ( ( ~ ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) )
| ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(830,plain,
! [SV164: $i,SV195: $i,SV181: $i] :
( ( ( ~ ( in @ SV181 @ SV195 )
| ~ ( in @ SV195 @ SV164 ) )
= $true )
| ( ( in @ SV181 @ ( setunion @ SV164 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(831,plain,
! [SV165: $i,SV182: $i] :
( ( ( in @ SV182 @ ( setunion @ SV165 ) )
= $false )
| ( ( ~ ( ~ ( in @ SV182 @ ( sK6_B @ SV182 @ SV165 ) )
| ~ ( in @ ( sK6_B @ SV182 @ SV165 ) @ SV165 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(832,plain,
! [SV67: $i,SV183: $o,SV124: $i] :
( ( ( ~ ( in @ SV124 @ ( sK29_B @ SV183 @ SV124 @ SV67 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ SV183 @ SV124 @ SV67 ) @ SV67 )
| ~ ~ SV183 ) )
= $false )
| ( SV183 = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(833,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ( in @ SV124 @ ( sK29_B @ $true @ SV124 @ SV67 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ $true @ SV124 @ SV67 ) @ SV67 )
| ~ ~ $true ) )
= $false )
| ( $true = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(834,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ( in @ SV124 @ ( sK29_B @ $false @ SV124 @ SV67 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ $false @ SV124 @ SV67 ) @ SV67 )
| ~ ~ $false ) )
= $false )
| ( $false = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(835,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ( SV68 @ ( sK42_Xx @ SV68 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(836,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ~ ( ~ ( SV68 @ ( sK43_SY628 @ SV68 ) )
| ~ ( ( ( sK42_Xx @ SV68 )
!= ( sK43_SY628 @ SV68 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(837,plain,
! [SV125: $i,SV69: $i > $i > $o] :
( ( ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(838,plain,
! [SV196: $i,SV125: $i,SV69: $i > $i > $o] :
( ( ( ~ ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
| ~ ( ( SV196
!= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) ) ) )
| ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 ) )
= $true )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(839,plain,
! [SV70: $i,SV126: $i] :
( ( ( ~ ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV70 ) )
= $true )
| ( ( ~ ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV126 ) )
= $true )
| ( ( SV70 = SV126 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[763]) ).
thf(840,plain,
! [SV70: $i,SV126: $i] :
( ( ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV70 )
= $true )
| ( ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV126 )
= $true )
| ( ( SV70 = SV126 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(841,plain,
! [SV151: $i,SV71: $i > $o] :
( ( ( SV71 @ ( sK55_SY246 @ SV151 @ SV71 ) )
= $true )
| ( ( ~ ( SV71 @ SV151 ) )
= $true )
| ( ( ! [SY756: $i] :
( ~ ( SV71 @ SY756 )
| ! [SY757: $i] :
( ~ ( SV71 @ SY757 )
| ( SY756 = SY757 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[765]) ).
thf(842,plain,
! [SV71: $i > $o,SV151: $i] :
( ( ( SV151
!= ( sK55_SY246 @ SV151 @ SV71 ) )
= $true )
| ( ( ~ ( SV71 @ SV151 ) )
= $true )
| ( ( ! [SY756: $i] :
( ~ ( SV71 @ SY756 )
| ! [SY757: $i] :
( ~ ( SV71 @ SY757 )
| ( SY756 = SY757 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(843,plain,
! [SV72: $i] :
( ( ( ~ ( in @ ( sK7_Xx @ SV72 ) @ omega )
| ~ ( in @ ( sK7_Xx @ SV72 ) @ SV72 ) )
= $false )
| ( ( ~ ( in @ emptyset @ SV72 ) )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(844,plain,
! [SV72: $i] :
( ( ( in @ ( setadjoin @ ( sK7_Xx @ SV72 ) @ ( sK7_Xx @ SV72 ) ) @ SV72 )
= $false )
| ( ( ~ ( in @ emptyset @ SV72 ) )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(845,plain,
! [SV127: $i > $o,SV73: $i,SV197: $i] :
( ( ( ~ ( in @ SV197 @ SV73 )
| ~ ( SV127 @ SV197 ) )
= $true )
| ( ( SV127 @ ( sK37_Xx @ SV127 @ SV73 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(846,plain,
! [SV127: $i > $o,SV73: $i,SV198: $i] :
( ( ( ~ ( in @ SV198 @ SV73 )
| ~ ( SV127 @ SV198 ) )
= $true )
| ( ( in @ ( sK37_Xx @ SV127 @ SV73 ) @ SV73 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(847,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ ~ ( ~ ( ( SV152 = SV74 )
| ( in @ SV152 @ SV128 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SV152 = SV74 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) ) )
= $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(848,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( ( ~ ~ ( ~ ! [SY846: $o] :
( ~ SY846
| ( in @ SV152 @ SV128 )
| SY846 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) )
= $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(849,plain,
! [SV75: $i,SV184: $i] :
( ( ( ~ ( ~ ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
| ~ ~ ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 ) ) )
= $true )
| ( ( ! [SY876: $i] :
~ ( in @ SY876 @ SV184 ) )
= $true )
| ( ( ~ ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[772]) ).
thf(850,plain,
! [SV75: $i] :
( ( ! [SY772: $i,SY773: $i] :
( ~ ( in @ SY772 @ ( sK13_B @ SV75 ) )
| ~ ( in @ SY773 @ ( sK13_B @ SV75 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY772 )
| ( in @ SX3 @ SY773 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY773 )
| ( in @ SX3 @ SY772 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(851,plain,
! [SV75: $i] :
( ( ~ ( ~ ! [SY776: $i] :
( ~ ( in @ SY776 @ ( sK13_B @ SV75 ) )
| ! [SY777: $i] :
( ~ ( in @ SY777 @ SY776 )
| ( in @ SY777 @ SV75 ) ) )
| ~ ! [SY778: $i,SY779: $i] :
( ~ ( in @ SY778 @ SV75 )
| ~ ( in @ SY779 @ SV75 )
| ~ ( ~ ( in @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ~ ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) )
| ~ ( ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) ) ) )
| ( SY778 = SY779 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[774]) ).
thf(852,plain,
! [SV153: $i,SV76: $i > $o] :
( ( ( SV76 @ ( sK22_SY84 @ SV153 @ SV76 ) )
= $true )
| ( ( ~ ( SV76 @ SV153 ) )
= $true )
| ( ( SV76 @ ( sK21_Xx @ SV76 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(853,plain,
! [SV76: $i > $o,SV153: $i] :
( ( ( SV153
!= ( sK22_SY84 @ SV153 @ SV76 ) )
= $true )
| ( ( ~ ( SV76 @ SV153 ) )
= $true )
| ( ( SV76 @ ( sK21_Xx @ SV76 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(854,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( SV77 @ ( sK20_SY72 @ SV154 @ SV77 ) )
= $true )
| ( ( ~ ( SV77 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) )
| ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[777]) ).
thf(855,plain,
! [SV77: $i > $o,SV154: $i] :
( ( ( SV154
!= ( sK20_SY72 @ SV154 @ SV77 ) )
= $true )
| ( ( ~ ( SV77 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) )
| ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[778]) ).
thf(856,plain,
! [SV155: $i,SV78: $i > $o] :
( ( ( SV78 @ ( sK18_SY55 @ SV155 @ SV78 ) )
= $true )
| ( ( ~ ( SV78 @ SV155 ) )
= $true )
| ( ( SV78
@ ( descr
@ ^ [SY784: $i] : ( SV78 @ SY784 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(857,plain,
! [SV78: $i > $o,SV155: $i] :
( ( ( SV155
!= ( sK18_SY55 @ SV155 @ SV78 ) )
= $true )
| ( ( ~ ( SV78 @ SV155 ) )
= $true )
| ( ( SV78
@ ( descr
@ ^ [SY784: $i] : ( SV78 @ SY784 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[780]) ).
thf(858,plain,
! [SV166: $i,SV79: $i,SV129: $i > $o] :
( ( ( ~ ( in @ ( sK33_Xx @ SV129 @ SV79 ) @ SV79 )
| ~ ~ ( SV129 @ ( sK33_Xx @ SV129 @ SV79 ) ) )
= $false )
| ( ( SV129 @ SV166 )
= $true )
| ( ( in @ SV166 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(859,plain,
! [SV80: $i,SV130: $i] :
( ( ( in @ ( sK62_Xx @ SV130 @ SV80 ) @ SV130 )
= $false )
| ( ( subset @ SV80 @ SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(860,plain,
! [SV92: $i,SV14: $i,SV185: $i,SV170: $i] :
( ( ( SV170 = SV185 )
= $false )
| ( ( ( setadjoin @ SV14 @ SV170 )
= ( setadjoin @ SV92 @ SV185 ) )
= $true )
| ( ( SV14 = SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(861,plain,
! [SV93: $i,SV15: $i,SV186: $i,SV171: $i] :
( ( ( SV171 = SV186 )
= $false )
| ( ( ~ ( in @ SV171 @ SV15 )
| ( in @ SV186 @ SV93 ) )
= $true )
| ( ( SV15 = SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(862,plain,
! [SV156: $i,SV95: $i > $o,SV19: $i] :
( ( ( ( dsetconstr @ SV19
@ ^ [SY798: $i] : ( SV95 @ SY798 ) )
= emptyset )
= $false )
| ( ( SV95 @ SV156 )
= $false )
| ( ( in @ SV156 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(863,plain,
! [SV138: $i,SV109: $i > $o,SV38: $i] :
( ( ( ( dsetconstr @ SV38
@ ^ [SY805: $i] : ( SV109 @ SY805 ) )
= emptyset )
= $false )
| ( ( SV109 @ SV138 )
= $false )
| ( ( in @ SV138 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(864,plain,
! [SV158: $i,SV50: $i,SV114: $i > $o] :
( ( ( ~ ( in @ ( sK38_Xx @ SV114 @ SV50 ) @ SV50 ) )
= $false )
| ( ( SV114 @ SV158 )
= $true )
| ( ( in @ SV158 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[796]) ).
thf(865,plain,
! [SV158: $i,SV50: $i,SV114: $i > $o] :
( ( ( ~ ~ ( SV114 @ ( sK38_Xx @ SV114 @ SV50 ) ) )
= $false )
| ( ( SV114 @ SV158 )
= $true )
| ( ( in @ SV158 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[796]) ).
thf(866,plain,
! [SV145: $i,SV51: $i,SV199: $i] :
( ( ( ~ ( in @ SV199 @ ( sK12_B @ SV51 ) )
| ~ ( in @ SV199 @ SV51 ) )
= $true )
| ( ( in @ SV145 @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(867,plain,
! [SV159: $i > $o,SV173: $i > $o] :
( ( ( ( sK53_Xx @ SV173 @ SV159 )
!= ( sK54_SY633 @ SV173 @ SV159 ) )
= $false )
| ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(868,plain,
! [SV173: $i > $o,SV159: $i > $o] :
( ( ( ~ ~ ( ~ ( ~ ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ~ ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) )
| ~ ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) ) ) )
= $false )
| ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(869,plain,
! [SV160: $i > $o,SV174: $i > $o] :
( ( ( ( sK49_Xx @ SV174 @ SV160 )
!= ( sK50_SY631 @ SV174 @ SV160 ) )
= $false )
| ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[800]) ).
thf(870,plain,
! [SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ~ ( ~ ( ~ ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ~ ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) )
| ~ ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) ) ) )
= $false )
| ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[800]) ).
thf(871,plain,
! [SV175: $i,SV52: $i,SV187: $i] :
( ( ( in @ SV187 @ ( setadjoin @ SV52 @ SV175 ) )
= $false )
| ( ( ( SV187 = SV52 )
| ( in @ SV187 @ SV175 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(872,plain,
! [SV200: $i,SV52: $i] :
( ( ! [SY884: $i] :
( ( SY884 != SV52 )
| ( in @ SY884 @ ( setadjoin @ SV52 @ SV200 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(873,plain,
! [SV52: $i,SV201: $i] :
( ( ! [SY885: $i] :
( ~ ( in @ SY885 @ SV201 )
| ( in @ SY885 @ ( setadjoin @ SV52 @ SV201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(874,plain,
! [SV116: $i,SV54: $i,SV202: $i] :
( ( ( ! [SY886: $i] :
( ( SV202 != SY886 )
| ~ ( in @ SV202 @ SV54 )
| ( in @ SY886 @ SV116 ) ) )
= $true )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(875,plain,
! [SV54: $i,SV116: $i,SV203: $i] :
( ( ( ! [SY887: $i] :
( ( SV203 != SY887 )
| ~ ( in @ SY887 @ SV116 )
| ( in @ SV203 @ SV54 ) ) )
= $true )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(876,plain,
! [SV161: $i,SV55: $i,SV117: $i > $o] :
( ( ( ~ ( in @ ( sK36_Xx @ SV117 @ SV55 ) @ SV55 ) )
= $false )
| ( ( SV117 @ SV161 )
= $true )
| ( ( in @ SV161 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[807]) ).
thf(877,plain,
! [SV161: $i,SV55: $i,SV117: $i > $o] :
( ( ( ~ ~ ( SV117 @ ( sK36_Xx @ SV117 @ SV55 ) ) )
= $false )
| ( ( SV117 @ SV161 )
= $true )
| ( ( in @ SV161 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[807]) ).
thf(878,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( SV56 @ SV146 )
= $false )
| ( ( SV56 @ ( sK40_Xy @ SV146 @ SV56 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) )
| ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(879,plain,
! [SV56: $i > $o,SV146: $i] :
( ( ( SV146
= ( sK40_Xy @ SV146 @ SV56 ) )
= $false )
| ( ( ~ ( SV56 @ SV146 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) )
| ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(880,plain,
! [SV57: $i,SV118: $i] :
( ( ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 )
| ~ ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) )
= $false )
| ( ( SV57 = SV118 )
= $true )
| ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(881,plain,
! [SV57: $i,SV118: $i] :
( ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 )
| ~ ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) ) )
= $true )
| ( ( SV57 = SV118 )
= $true )
| ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(882,plain,
! [SV119: $i > $o,SV58: $i,SV191: $i] :
( ( ( ~ ( in @ SV191 @ SV58 ) )
= $true )
| ( ( ~ ( SV119 @ SV191 ) )
= $true )
| ( ( SV119 @ ( sK35_Xx @ SV119 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[812]) ).
thf(883,plain,
! [SV119: $i > $o,SV58: $i,SV192: $i] :
( ( ( ~ ( in @ SV192 @ SV58 ) )
= $true )
| ( ( ~ ( SV119 @ SV192 ) )
= $true )
| ( ( in @ ( sK35_Xx @ SV119 @ SV58 ) @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[813]) ).
thf(884,plain,
! [SV162: $i,SV176: $i] :
( ( ( ~ ( in @ ( sK5_Xx @ SV176 @ SV162 ) @ SV176 ) )
= $false )
| ( ( in @ SV176 @ ( powerset @ SV162 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(885,plain,
! [SV162: $i,SV176: $i] :
( ( ( ~ ~ ( in @ ( sK5_Xx @ SV176 @ SV162 ) @ SV162 ) )
= $false )
| ( ( in @ SV176 @ ( powerset @ SV162 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(886,plain,
! [SV163: $i,SV177: $i,SV204: $i] :
( ( ( ~ ( in @ SV204 @ SV177 )
| ( in @ SV204 @ SV163 ) )
= $true )
| ( ( in @ SV177 @ ( powerset @ SV163 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(887,plain,
! [SV178: $i > $o,SV60: $i,SV188: $i] :
( ( ( in @ SV188 @ SV60 )
= $false )
| ( ( ~ ( SV178 @ SV188 )
| ( in @ SV188
@ ( dsetconstr @ SV60
@ ^ [SY869: $i] : ( SV178 @ SY869 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(888,plain,
! [SV179: $i > $o,SV60: $i,SV189: $i] :
( ( ( in @ SV189 @ SV60 )
= $false )
| ( ( ~ ( in @ SV189
@ ( dsetconstr @ SV60
@ ^ [SY871: $i] : ( SV179 @ SY871 ) ) )
| ( SV179 @ SV189 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(889,plain,
! [SV121: $i > $o,SV205: $i,SV61: $i > $o] :
( ( ( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
| ~ ( ( SV205
!= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SV205 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(890,plain,
! [SV121: $i > $o,SV61: $i > $o] :
( ( ( ~ ( ~ ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ~ ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(891,plain,
! [SV121: $i > $o,SV61: $i > $o] :
( ( ( ~ ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(892,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( ~ ( in @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) @ SV62 )
| ~ ~ ( ~ ( in @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) @ SV122 )
| ~ ~ ( ( ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 )
!= ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
| ~ ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(893,plain,
! [SV147: $i,SV63: $i > $o] :
( ( ( SV63 @ SV147 )
= $false )
| ( ( SV63 @ ( sK46_SY222 @ SV147 @ SV63 ) )
= $true )
| ( ( ! [SY736: $i] :
( ~ ( SV63 @ SY736 )
| ! [SY737: $i] :
( ~ ( SV63 @ SY737 )
| ( SY736 = SY737 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(894,plain,
! [SV63: $i > $o,SV147: $i] :
( ( ( SV147
= ( sK46_SY222 @ SV147 @ SV63 ) )
= $false )
| ( ( ~ ( SV63 @ SV147 ) )
= $true )
| ( ( ! [SY736: $i] :
( ~ ( SV63 @ SY736 )
| ! [SY737: $i] :
( ~ ( SV63 @ SY737 )
| ( SY736 = SY737 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(895,plain,
! [SV64: $i > $o,SV148: $i] :
( ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $false )
| ( ( ~ ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) )
| ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(896,plain,
! [SV148: $i,SV64: $i > $o] :
( ( ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) )
| ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) )
= $false )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $true )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(897,plain,
! [SV65: $i,SV193: $i,SV123: $i > $o] :
( ( ( ~ ( SV123 @ SV193 ) )
= $true )
| ( ( ~ ( in @ SV193 @ SV65 ) )
= $true )
| ( ( in @ ( sK34_Xx @ SV123 @ SV65 ) @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(898,plain,
! [SV65: $i,SV194: $i,SV123: $i > $o] :
( ( ( ~ ( SV123 @ SV194 ) )
= $true )
| ( ( ~ ( in @ SV194 @ SV65 ) )
= $true )
| ( ( SV123 @ ( sK34_Xx @ SV123 @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[827]) ).
thf(899,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( SV66 @ SV149 )
= $false )
| ( ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
= $true )
| ( ( ~ ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) )
| ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(900,plain,
! [SV66: $i > $o,SV149: $i] :
( ( ( SV149
= ( sK31_SY140 @ SV149 @ SV66 ) )
= $false )
| ( ( ~ ( SV66 @ SV149 ) )
= $true )
| ( ( ~ ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) )
| ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(901,plain,
! [SV164: $i,SV195: $i,SV181: $i] :
( ( ( ~ ( in @ SV181 @ SV195 ) )
= $true )
| ( ( ~ ( in @ SV195 @ SV164 ) )
= $true )
| ( ( in @ SV181 @ ( setunion @ SV164 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[830]) ).
thf(902,plain,
! [SV165: $i,SV182: $i] :
( ( ( ~ ( in @ SV182 @ ( sK6_B @ SV182 @ SV165 ) )
| ~ ( in @ ( sK6_B @ SV182 @ SV165 ) @ SV165 ) )
= $false )
| ( ( in @ SV182 @ ( setunion @ SV165 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(903,plain,
! [SV67: $i,SV183: $o,SV124: $i] :
( ( ( ~ ( in @ SV124 @ ( sK29_B @ SV183 @ SV124 @ SV67 ) ) )
= $false )
| ( SV183 = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(904,plain,
! [SV67: $i,SV124: $i,SV183: $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK29_B @ SV183 @ SV124 @ SV67 ) @ SV67 )
| ~ ~ SV183 ) )
= $false )
| ( SV183 = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(905,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ( in @ SV124 @ ( sK29_B @ $true @ SV124 @ SV67 ) ) )
= $false )
| ( $true = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[833]) ).
thf(906,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK29_B @ $true @ SV124 @ SV67 ) @ SV67 )
| ~ ~ $true ) )
= $false )
| ( $true = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[833]) ).
thf(907,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ( in @ SV124 @ ( sK29_B @ $false @ SV124 @ SV67 ) ) )
= $false )
| ( $false = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[834]) ).
thf(908,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK29_B @ $false @ SV124 @ SV67 ) @ SV67 )
| ~ ~ $false ) )
= $false )
| ( $false = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[834]) ).
thf(909,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( SV68 @ ( sK42_Xx @ SV68 ) )
= $true )
| ( ( ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(910,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ( ~ ( SV68 @ ( sK43_SY628 @ SV68 ) )
| ~ ( ( ( sK42_Xx @ SV68 )
!= ( sK43_SY628 @ SV68 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[836]) ).
thf(911,plain,
! [SV125: $i,SV69: $i > $i > $o] :
( ( ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[837]) ).
thf(912,plain,
! [SV69: $i > $i > $o,SV125: $i] :
( ( ( ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[837]) ).
thf(913,plain,
! [SV196: $i,SV125: $i,SV69: $i > $i > $o] :
( ( ( ~ ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
| ~ ( ( SV196
!= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) ) ) ) )
= $true )
| ( ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 ) )
= $true )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[838]) ).
thf(914,plain,
! [SV70: $i,SV126: $i] :
( ( ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV70 )
= $false )
| ( ( ~ ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV126 ) )
= $true )
| ( ( SV70 = SV126 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(915,plain,
! [SV151: $i,SV71: $i > $o] :
( ( ( SV71 @ SV151 )
= $false )
| ( ( SV71 @ ( sK55_SY246 @ SV151 @ SV71 ) )
= $true )
| ( ( ! [SY756: $i] :
( ~ ( SV71 @ SY756 )
| ! [SY757: $i] :
( ~ ( SV71 @ SY757 )
| ( SY756 = SY757 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(916,plain,
! [SV71: $i > $o,SV151: $i] :
( ( ( SV151
= ( sK55_SY246 @ SV151 @ SV71 ) )
= $false )
| ( ( ~ ( SV71 @ SV151 ) )
= $true )
| ( ( ! [SY756: $i] :
( ~ ( SV71 @ SY756 )
| ! [SY757: $i] :
( ~ ( SV71 @ SY757 )
| ( SY756 = SY757 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(917,plain,
! [SV72: $i] :
( ( ( ~ ( in @ ( sK7_Xx @ SV72 ) @ omega ) )
= $false )
| ( ( ~ ( in @ emptyset @ SV72 ) )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[843]) ).
thf(918,plain,
! [SV72: $i] :
( ( ( ~ ( in @ ( sK7_Xx @ SV72 ) @ SV72 ) )
= $false )
| ( ( ~ ( in @ emptyset @ SV72 ) )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[843]) ).
thf(919,plain,
! [SV72: $i] :
( ( ( in @ emptyset @ SV72 )
= $false )
| ( ( in @ ( setadjoin @ ( sK7_Xx @ SV72 ) @ ( sK7_Xx @ SV72 ) ) @ SV72 )
= $false )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(920,plain,
! [SV127: $i > $o,SV73: $i,SV197: $i] :
( ( ( ~ ( in @ SV197 @ SV73 ) )
= $true )
| ( ( ~ ( SV127 @ SV197 ) )
= $true )
| ( ( SV127 @ ( sK37_Xx @ SV127 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(921,plain,
! [SV127: $i > $o,SV73: $i,SV198: $i] :
( ( ( ~ ( in @ SV198 @ SV73 ) )
= $true )
| ( ( ~ ( SV127 @ SV198 ) )
= $true )
| ( ( in @ ( sK37_Xx @ SV127 @ SV73 ) @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(922,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ ( ~ ( ( SV152 = SV74 )
| ( in @ SV152 @ SV128 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SV152 = SV74 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) ) )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[847]) ).
thf(923,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( ( ~ ( ~ ! [SY846: $o] :
( ~ SY846
| ( in @ SV152 @ SV128 )
| SY846 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[848]) ).
thf(924,plain,
! [SV75: $i,SV184: $i] :
( ( ( ~ ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
| ~ ~ ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 ) )
= $false )
| ( ( ! [SY876: $i] :
~ ( in @ SY876 @ SV184 ) )
= $true )
| ( ( ~ ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(925,plain,
! [SV75: $i,SV206: $i] :
( ( ! [SY888: $i] :
( ~ ( in @ SV206 @ ( sK13_B @ SV75 ) )
| ~ ( in @ SY888 @ ( sK13_B @ SV75 ) )
| ! [SY889: $i] :
( ~ ( in @ SY889 @ SV206 )
| ( in @ SY889 @ SY888 ) )
| ! [SY890: $i] :
( ~ ( in @ SY890 @ SY888 )
| ( in @ SY890 @ SV206 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(926,plain,
! [SV75: $i] :
( ( ~ ! [SY776: $i] :
( ~ ( in @ SY776 @ ( sK13_B @ SV75 ) )
| ! [SY777: $i] :
( ~ ( in @ SY777 @ SY776 )
| ( in @ SY777 @ SV75 ) ) )
| ~ ! [SY778: $i,SY779: $i] :
( ~ ( in @ SY778 @ SV75 )
| ~ ( in @ SY779 @ SV75 )
| ~ ( ~ ( in @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ~ ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) )
| ~ ( ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) ) ) )
| ( SY778 = SY779 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(927,plain,
! [SV153: $i,SV76: $i > $o] :
( ( ( SV76 @ SV153 )
= $false )
| ( ( SV76 @ ( sK22_SY84 @ SV153 @ SV76 ) )
= $true )
| ( ( SV76 @ ( sK21_Xx @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(928,plain,
! [SV76: $i > $o,SV153: $i] :
( ( ( SV153
= ( sK22_SY84 @ SV153 @ SV76 ) )
= $false )
| ( ( ~ ( SV76 @ SV153 ) )
= $true )
| ( ( SV76 @ ( sK21_Xx @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(929,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( SV77 @ SV154 )
= $false )
| ( ( SV77 @ ( sK20_SY72 @ SV154 @ SV77 ) )
= $true )
| ( ( ~ ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) )
| ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[854]) ).
thf(930,plain,
! [SV77: $i > $o,SV154: $i] :
( ( ( SV154
= ( sK20_SY72 @ SV154 @ SV77 ) )
= $false )
| ( ( ~ ( SV77 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) )
| ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(931,plain,
! [SV155: $i,SV78: $i > $o] :
( ( ( SV78 @ SV155 )
= $false )
| ( ( SV78 @ ( sK18_SY55 @ SV155 @ SV78 ) )
= $true )
| ( ( SV78
@ ( descr
@ ^ [SY784: $i] : ( SV78 @ SY784 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(932,plain,
! [SV78: $i > $o,SV155: $i] :
( ( ( SV155
= ( sK18_SY55 @ SV155 @ SV78 ) )
= $false )
| ( ( ~ ( SV78 @ SV155 ) )
= $true )
| ( ( SV78
@ ( descr
@ ^ [SY784: $i] : ( SV78 @ SY784 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(933,plain,
! [SV166: $i,SV79: $i,SV129: $i > $o] :
( ( ( ~ ( in @ ( sK33_Xx @ SV129 @ SV79 ) @ SV79 ) )
= $false )
| ( ( SV129 @ SV166 )
= $true )
| ( ( in @ SV166 @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(934,plain,
! [SV166: $i,SV79: $i,SV129: $i > $o] :
( ( ( ~ ~ ( SV129 @ ( sK33_Xx @ SV129 @ SV79 ) ) )
= $false )
| ( ( SV129 @ SV166 )
= $true )
| ( ( in @ SV166 @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(935,plain,
! [SV93: $i,SV186: $i,SV15: $i,SV171: $i] :
( ( ( ~ ( in @ SV171 @ SV15 ) )
= $true )
| ( ( in @ SV186 @ SV93 )
= $true )
| ( ( SV171 = SV186 )
= $false )
| ( ( SV15 = SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[861]) ).
thf(936,plain,
! [SV158: $i,SV50: $i,SV114: $i > $o] :
( ( ( in @ ( sK38_Xx @ SV114 @ SV50 ) @ SV50 )
= $true )
| ( ( SV114 @ SV158 )
= $true )
| ( ( in @ SV158 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[864]) ).
thf(937,plain,
! [SV158: $i,SV50: $i,SV114: $i > $o] :
( ( ( ~ ( SV114 @ ( sK38_Xx @ SV114 @ SV50 ) ) )
= $true )
| ( ( SV114 @ SV158 )
= $true )
| ( ( in @ SV158 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[865]) ).
thf(938,plain,
! [SV145: $i,SV51: $i,SV199: $i] :
( ( ( ~ ( in @ SV199 @ ( sK12_B @ SV51 ) ) )
= $true )
| ( ( ~ ( in @ SV199 @ SV51 ) )
= $true )
| ( ( in @ SV145 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(939,plain,
! [SV159: $i > $o,SV173: $i > $o] :
( ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[867]) ).
thf(940,plain,
! [SV173: $i > $o,SV159: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ~ ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) )
| ~ ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) ) ) )
= $true )
| ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[868]) ).
thf(941,plain,
! [SV160: $i > $o,SV174: $i > $o] :
( ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[869]) ).
thf(942,plain,
! [SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ~ ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) )
| ~ ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) ) ) )
= $true )
| ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[870]) ).
thf(943,plain,
! [SV175: $i,SV52: $i,SV187: $i] :
( ( ( SV187 = SV52 )
= $true )
| ( ( in @ SV187 @ SV175 )
= $true )
| ( ( in @ SV187 @ ( setadjoin @ SV52 @ SV175 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(944,plain,
! [SV200: $i,SV52: $i,SV207: $i] :
( ( ( SV207 != SV52 )
| ( in @ SV207 @ ( setadjoin @ SV52 @ SV200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(945,plain,
! [SV52: $i,SV201: $i,SV208: $i] :
( ( ~ ( in @ SV208 @ SV201 )
| ( in @ SV208 @ ( setadjoin @ SV52 @ SV201 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(946,plain,
! [SV116: $i,SV54: $i,SV209: $i,SV202: $i] :
( ( ( ( SV202 != SV209 )
| ~ ( in @ SV202 @ SV54 )
| ( in @ SV209 @ SV116 ) )
= $true )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(947,plain,
! [SV54: $i,SV116: $i,SV210: $i,SV203: $i] :
( ( ( ( SV203 != SV210 )
| ~ ( in @ SV210 @ SV116 )
| ( in @ SV203 @ SV54 ) )
= $true )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(948,plain,
! [SV161: $i,SV55: $i,SV117: $i > $o] :
( ( ( in @ ( sK36_Xx @ SV117 @ SV55 ) @ SV55 )
= $true )
| ( ( SV117 @ SV161 )
= $true )
| ( ( in @ SV161 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[876]) ).
thf(949,plain,
! [SV161: $i,SV55: $i,SV117: $i > $o] :
( ( ( ~ ( SV117 @ ( sK36_Xx @ SV117 @ SV55 ) ) )
= $true )
| ( ( SV117 @ SV161 )
= $true )
| ( ( in @ SV161 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[877]) ).
thf(950,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) )
| ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) )
= $false )
| ( ( SV56 @ ( sK40_Xy @ SV146 @ SV56 ) )
= $true )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(951,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( SV56 @ SV146 )
= $false )
| ( ( SV146
= ( sK40_Xy @ SV146 @ SV56 ) )
= $false )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) )
| ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(952,plain,
! [SV57: $i,SV118: $i] :
( ( ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 ) )
= $false )
| ( ( SV57 = SV118 )
= $true )
| ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV57 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(953,plain,
! [SV57: $i,SV118: $i] :
( ( ( ~ ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) )
= $false )
| ( ( SV57 = SV118 )
= $true )
| ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV57 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(954,plain,
! [SV57: $i,SV118: $i] :
( ( ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 )
| ~ ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) )
= $false )
| ( ( SV57 = SV118 )
= $true )
| ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(955,plain,
! [SV119: $i > $o,SV58: $i,SV191: $i] :
( ( ( in @ SV191 @ SV58 )
= $false )
| ( ( ~ ( SV119 @ SV191 ) )
= $true )
| ( ( SV119 @ ( sK35_Xx @ SV119 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(956,plain,
! [SV119: $i > $o,SV58: $i,SV192: $i] :
( ( ( in @ SV192 @ SV58 )
= $false )
| ( ( ~ ( SV119 @ SV192 ) )
= $true )
| ( ( in @ ( sK35_Xx @ SV119 @ SV58 ) @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(957,plain,
! [SV162: $i,SV176: $i] :
( ( ( in @ ( sK5_Xx @ SV176 @ SV162 ) @ SV176 )
= $true )
| ( ( in @ SV176 @ ( powerset @ SV162 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[884]) ).
thf(958,plain,
! [SV162: $i,SV176: $i] :
( ( ( ~ ( in @ ( sK5_Xx @ SV176 @ SV162 ) @ SV162 ) )
= $true )
| ( ( in @ SV176 @ ( powerset @ SV162 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[885]) ).
thf(959,plain,
! [SV163: $i,SV177: $i,SV204: $i] :
( ( ( ~ ( in @ SV204 @ SV177 ) )
= $true )
| ( ( in @ SV204 @ SV163 )
= $true )
| ( ( in @ SV177 @ ( powerset @ SV163 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(960,plain,
! [SV60: $i,SV188: $i,SV178: $i > $o] :
( ( ( ~ ( SV178 @ SV188 ) )
= $true )
| ( ( in @ SV188
@ ( dsetconstr @ SV60
@ ^ [SY869: $i] : ( SV178 @ SY869 ) ) )
= $true )
| ( ( in @ SV188 @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(961,plain,
! [SV179: $i > $o,SV60: $i,SV189: $i] :
( ( ( ~ ( in @ SV189
@ ( dsetconstr @ SV60
@ ^ [SY871: $i] : ( SV179 @ SY871 ) ) ) )
= $true )
| ( ( SV179 @ SV189 )
= $true )
| ( ( in @ SV189 @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(962,plain,
! [SV121: $i > $o,SV205: $i,SV61: $i > $o] :
( ( ( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
| ~ ( ( SV205
!= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) ) ) ) )
= $true )
| ( ( ~ ( SV61 @ SV205 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[889]) ).
thf(963,plain,
! [SV121: $i > $o,SV61: $i > $o] :
( ( ( ~ ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ~ ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) )
= $true )
| ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[890]) ).
thf(964,plain,
! [SV121: $i > $o,SV61: $i > $o] :
( ( ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
| ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) )
= $true )
| ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[891]) ).
thf(965,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( ~ ( in @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) @ SV62 ) )
= $false )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(966,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) @ SV122 )
| ~ ~ ( ( ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 )
!= ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
| ~ ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(967,plain,
! [SV147: $i,SV211: $i,SV63: $i > $o] :
( ( ( ~ ( SV63 @ SV211 )
| ! [SY891: $i] :
( ~ ( SV63 @ SY891 )
| ( SV211 = SY891 ) ) )
= $true )
| ( ( SV63 @ ( sK46_SY222 @ SV147 @ SV63 ) )
= $true )
| ( ( SV63 @ SV147 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(968,plain,
! [SV147: $i,SV63: $i > $o] :
( ( ( SV63 @ SV147 )
= $false )
| ( ( SV147
= ( sK46_SY222 @ SV147 @ SV63 ) )
= $false )
| ( ( ! [SY736: $i] :
( ~ ( SV63 @ SY736 )
| ! [SY737: $i] :
( ~ ( SV63 @ SY737 )
| ( SY736 = SY737 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(969,plain,
! [SV148: $i,SV64: $i > $o] :
( ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $false )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $false )
| ( ( ~ ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) )
| ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(970,plain,
! [SV148: $i,SV64: $i > $o] :
( ( ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) ) )
= $false )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $true )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(971,plain,
! [SV148: $i,SV64: $i > $o] :
( ( ( ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) )
= $false )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $true )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(972,plain,
! [SV65: $i,SV193: $i,SV123: $i > $o] :
( ( ( SV123 @ SV193 )
= $false )
| ( ( ~ ( in @ SV193 @ SV65 ) )
= $true )
| ( ( in @ ( sK34_Xx @ SV123 @ SV65 ) @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(973,plain,
! [SV65: $i,SV194: $i,SV123: $i > $o] :
( ( ( SV123 @ SV194 )
= $false )
| ( ( ~ ( in @ SV194 @ SV65 ) )
= $true )
| ( ( SV123 @ ( sK34_Xx @ SV123 @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(974,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) )
| ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) )
= $false )
| ( ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
= $true )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(975,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( SV66 @ SV149 )
= $false )
| ( ( SV149
= ( sK31_SY140 @ SV149 @ SV66 ) )
= $false )
| ( ( ~ ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) )
| ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(976,plain,
! [SV164: $i,SV195: $i,SV181: $i] :
( ( ( in @ SV181 @ SV195 )
= $false )
| ( ( ~ ( in @ SV195 @ SV164 ) )
= $true )
| ( ( in @ SV181 @ ( setunion @ SV164 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(977,plain,
! [SV165: $i,SV182: $i] :
( ( ( ~ ( in @ SV182 @ ( sK6_B @ SV182 @ SV165 ) ) )
= $false )
| ( ( in @ SV182 @ ( setunion @ SV165 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(978,plain,
! [SV165: $i,SV182: $i] :
( ( ( ~ ( in @ ( sK6_B @ SV182 @ SV165 ) @ SV165 ) )
= $false )
| ( ( in @ SV182 @ ( setunion @ SV165 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(979,plain,
! [SV67: $i,SV183: $o,SV124: $i] :
( ( ( in @ SV124 @ ( sK29_B @ SV183 @ SV124 @ SV67 ) )
= $true )
| ( SV183 = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[903]) ).
thf(980,plain,
! [SV67: $i,SV124: $i,SV183: $o] :
( ( ( ~ ( ~ ( in @ ( sK29_B @ SV183 @ SV124 @ SV67 ) @ SV67 )
| ~ ~ SV183 ) )
= $true )
| ( SV183 = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[904]) ).
thf(981,plain,
! [SV67: $i,SV124: $i] :
( ( ( in @ SV124 @ ( sK29_B @ $true @ SV124 @ SV67 ) )
= $true )
| ( $true = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[905]) ).
thf(982,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ( ~ ( in @ ( sK29_B @ $true @ SV124 @ SV67 ) @ SV67 )
| ~ ~ $true ) )
= $true )
| ( $true = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[906]) ).
thf(983,plain,
! [SV67: $i,SV124: $i] :
( ( ( in @ SV124 @ ( sK29_B @ $false @ SV124 @ SV67 ) )
= $true )
| ( $false = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[907]) ).
thf(984,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ( ~ ( in @ ( sK29_B @ $false @ SV124 @ SV67 ) @ SV67 )
| ~ ~ $false ) )
= $true )
| ( $false = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[908]) ).
thf(985,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) )
= $false )
| ( ( SV68 @ ( sK42_Xx @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(986,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ( SV68 @ ( sK43_SY628 @ SV68 ) )
| ~ ( ( ( sK42_Xx @ SV68 )
!= ( sK43_SY628 @ SV68 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(987,plain,
! [SV125: $i,SV69: $i > $i > $o] :
( ( ( ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[911]) ).
thf(988,plain,
! [SV69: $i > $i > $o,SV125: $i] :
( ( ( ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[912]) ).
thf(989,plain,
! [SV196: $i,SV125: $i,SV69: $i > $i > $o] :
( ( ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
| ~ ( ( SV196
!= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) ) ) )
= $false )
| ( ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 ) )
= $true )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(990,plain,
! [SV70: $i,SV126: $i] :
( ( ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV126 )
= $false )
| ( ( in @ ( sK4_Xx @ SV126 @ SV70 ) @ SV70 )
= $false )
| ( ( SV70 = SV126 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(991,plain,
! [SV151: $i,SV212: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ SV212 )
| ! [SY892: $i] :
( ~ ( SV71 @ SY892 )
| ( SV212 = SY892 ) ) )
= $true )
| ( ( SV71 @ ( sK55_SY246 @ SV151 @ SV71 ) )
= $true )
| ( ( SV71 @ SV151 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(992,plain,
! [SV151: $i,SV71: $i > $o] :
( ( ( SV71 @ SV151 )
= $false )
| ( ( SV151
= ( sK55_SY246 @ SV151 @ SV71 ) )
= $false )
| ( ( ! [SY756: $i] :
( ~ ( SV71 @ SY756 )
| ! [SY757: $i] :
( ~ ( SV71 @ SY757 )
| ( SY756 = SY757 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(993,plain,
! [SV72: $i] :
( ( ( in @ ( sK7_Xx @ SV72 ) @ omega )
= $true )
| ( ( ~ ( in @ emptyset @ SV72 ) )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[917]) ).
thf(994,plain,
! [SV72: $i] :
( ( ( in @ ( sK7_Xx @ SV72 ) @ SV72 )
= $true )
| ( ( ~ ( in @ emptyset @ SV72 ) )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[918]) ).
thf(995,plain,
! [SV72: $i,SV213: $i] :
( ( ( ~ ( in @ SV213 @ omega )
| ( in @ SV213 @ SV72 ) )
= $true )
| ( ( in @ ( setadjoin @ ( sK7_Xx @ SV72 ) @ ( sK7_Xx @ SV72 ) ) @ SV72 )
= $false )
| ( ( in @ emptyset @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(996,plain,
! [SV127: $i > $o,SV73: $i,SV197: $i] :
( ( ( in @ SV197 @ SV73 )
= $false )
| ( ( ~ ( SV127 @ SV197 ) )
= $true )
| ( ( SV127 @ ( sK37_Xx @ SV127 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(997,plain,
! [SV127: $i > $o,SV73: $i,SV198: $i] :
( ( ( in @ SV198 @ SV73 )
= $false )
| ( ( ~ ( SV127 @ SV198 ) )
= $true )
| ( ( in @ ( sK37_Xx @ SV127 @ SV73 ) @ SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(998,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ ( ( SV152 = SV74 )
| ( in @ SV152 @ SV128 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SV152 = SV74 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
= $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(999,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( ( ~ ! [SY846: $o] :
( ~ SY846
| ( in @ SV152 @ SV128 )
| SY846 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) )
= $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(1000,plain,
! [SV75: $i,SV184: $i] :
( ( ( ~ ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 ) )
= $false )
| ( ( ! [SY876: $i] :
~ ( in @ SY876 @ SV184 ) )
= $true )
| ( ( ~ ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[924]) ).
thf(1001,plain,
! [SV75: $i,SV184: $i] :
( ( ( ~ ~ ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 ) )
= $false )
| ( ( ! [SY876: $i] :
~ ( in @ SY876 @ SV184 ) )
= $true )
| ( ( ~ ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[924]) ).
thf(1002,plain,
! [SV214: $i,SV75: $i,SV206: $i] :
( ( ~ ( in @ SV206 @ ( sK13_B @ SV75 ) )
| ~ ( in @ SV214 @ ( sK13_B @ SV75 ) )
| ! [SY893: $i] :
( ~ ( in @ SY893 @ SV206 )
| ( in @ SY893 @ SV214 ) )
| ! [SY894: $i] :
( ~ ( in @ SY894 @ SV214 )
| ( in @ SY894 @ SV206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[925]) ).
thf(1003,plain,
! [SV75: $i] :
( ( ~ ! [SY776: $i] :
( ~ ( in @ SY776 @ ( sK13_B @ SV75 ) )
| ! [SY777: $i] :
( ~ ( in @ SY777 @ SY776 )
| ( in @ SY777 @ SV75 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(1004,plain,
! [SV75: $i] :
( ( ~ ! [SY778: $i,SY779: $i] :
( ~ ( in @ SY778 @ SV75 )
| ~ ( in @ SY779 @ SV75 )
| ~ ( ~ ( in @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ~ ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) )
| ~ ( ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) ) ) )
| ( SY778 = SY779 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(1005,plain,
! [SV153: $i,SV76: $i > $o] :
( ( ( SV76 @ SV153 )
= $false )
| ( ( SV153
= ( sK22_SY84 @ SV153 @ SV76 ) )
= $false )
| ( ( SV76 @ ( sK21_Xx @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(1006,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) )
| ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) )
= $false )
| ( ( SV77 @ ( sK20_SY72 @ SV154 @ SV77 ) )
= $true )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(1007,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( SV77 @ SV154 )
= $false )
| ( ( SV154
= ( sK20_SY72 @ SV154 @ SV77 ) )
= $false )
| ( ( ~ ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) )
| ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(1008,plain,
! [SV155: $i,SV78: $i > $o] :
( ( ( SV78 @ SV155 )
= $false )
| ( ( SV155
= ( sK18_SY55 @ SV155 @ SV78 ) )
= $false )
| ( ( SV78
@ ( descr
@ ^ [SY784: $i] : ( SV78 @ SY784 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(1009,plain,
! [SV166: $i,SV79: $i,SV129: $i > $o] :
( ( ( in @ ( sK33_Xx @ SV129 @ SV79 ) @ SV79 )
= $true )
| ( ( SV129 @ SV166 )
= $true )
| ( ( in @ SV166 @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[933]) ).
thf(1010,plain,
! [SV166: $i,SV79: $i,SV129: $i > $o] :
( ( ( ~ ( SV129 @ ( sK33_Xx @ SV129 @ SV79 ) ) )
= $true )
| ( ( SV129 @ SV166 )
= $true )
| ( ( in @ SV166 @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[934]) ).
thf(1011,plain,
! [SV93: $i,SV186: $i,SV15: $i,SV171: $i] :
( ( ( in @ SV171 @ SV15 )
= $false )
| ( ( in @ SV186 @ SV93 )
= $true )
| ( ( SV171 = SV186 )
= $false )
| ( ( SV15 = SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(1012,plain,
! [SV158: $i,SV50: $i,SV114: $i > $o] :
( ( ( SV114 @ ( sK38_Xx @ SV114 @ SV50 ) )
= $false )
| ( ( SV114 @ SV158 )
= $true )
| ( ( in @ SV158 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(1013,plain,
! [SV145: $i,SV51: $i,SV199: $i] :
( ( ( in @ SV199 @ ( sK12_B @ SV51 ) )
= $false )
| ( ( ~ ( in @ SV199 @ SV51 ) )
= $true )
| ( ( in @ SV145 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(1014,plain,
! [SV173: $i > $o,SV159: $i > $o] :
( ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(1015,plain,
! [SV173: $i > $o,SV159: $i > $o] :
( ( ( ~ ( ~ ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ~ ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) )
| ~ ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) ) )
= $false )
| ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(1016,plain,
! [SV160: $i > $o,SV174: $i > $o] :
( ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(1017,plain,
! [SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ( ~ ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ~ ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) )
| ~ ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) ) )
= $false )
| ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1018,plain,
! [SV200: $i,SV52: $i,SV207: $i] :
( ( ( SV207 != SV52 )
= $true )
| ( ( in @ SV207 @ ( setadjoin @ SV52 @ SV200 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[944]) ).
thf(1019,plain,
! [SV52: $i,SV201: $i,SV208: $i] :
( ( ( ~ ( in @ SV208 @ SV201 ) )
= $true )
| ( ( in @ SV208 @ ( setadjoin @ SV52 @ SV201 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[945]) ).
thf(1020,plain,
! [SV116: $i,SV54: $i,SV209: $i,SV202: $i] :
( ( ( SV202 != SV209 )
= $true )
| ( ( ~ ( in @ SV202 @ SV54 )
| ( in @ SV209 @ SV116 ) )
= $true )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[946]) ).
thf(1021,plain,
! [SV54: $i,SV116: $i,SV210: $i,SV203: $i] :
( ( ( SV203 != SV210 )
= $true )
| ( ( ~ ( in @ SV210 @ SV116 )
| ( in @ SV203 @ SV54 ) )
= $true )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[947]) ).
thf(1022,plain,
! [SV161: $i,SV55: $i,SV117: $i > $o] :
( ( ( SV117 @ ( sK36_Xx @ SV117 @ SV55 ) )
= $false )
| ( ( SV117 @ SV161 )
= $true )
| ( ( in @ SV161 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(1023,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) ) )
= $false )
| ( ( SV56 @ ( sK40_Xy @ SV146 @ SV56 ) )
= $true )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[950]) ).
thf(1024,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) )
= $false )
| ( ( SV56 @ ( sK40_Xy @ SV146 @ SV56 ) )
= $true )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[950]) ).
thf(1025,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) )
| ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) )
= $false )
| ( ( SV146
= ( sK40_Xy @ SV146 @ SV56 ) )
= $false )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[951]) ).
thf(1026,plain,
! [SV57: $i,SV118: $i] :
( ( ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 )
= $true )
| ( ( SV57 = SV118 )
= $true )
| ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(1027,plain,
! [SV57: $i,SV118: $i] :
( ( ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) )
= $true )
| ( ( SV57 = SV118 )
= $true )
| ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[953]) ).
thf(1028,plain,
! [SV57: $i,SV118: $i] :
( ( ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 ) )
= $false )
| ( ( SV57 = SV118 )
= $true )
| ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1029,plain,
! [SV57: $i,SV118: $i] :
( ( ( ~ ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) )
= $false )
| ( ( SV57 = SV118 )
= $true )
| ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1030,plain,
! [SV58: $i,SV191: $i,SV119: $i > $o] :
( ( ( SV119 @ SV191 )
= $false )
| ( ( in @ SV191 @ SV58 )
= $false )
| ( ( SV119 @ ( sK35_Xx @ SV119 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(1031,plain,
! [SV58: $i,SV192: $i,SV119: $i > $o] :
( ( ( SV119 @ SV192 )
= $false )
| ( ( in @ SV192 @ SV58 )
= $false )
| ( ( in @ ( sK35_Xx @ SV119 @ SV58 ) @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(1032,plain,
! [SV162: $i,SV176: $i] :
( ( ( in @ ( sK5_Xx @ SV176 @ SV162 ) @ SV162 )
= $false )
| ( ( in @ SV176 @ ( powerset @ SV162 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(1033,plain,
! [SV163: $i,SV177: $i,SV204: $i] :
( ( ( in @ SV204 @ SV177 )
= $false )
| ( ( in @ SV204 @ SV163 )
= $true )
| ( ( in @ SV177 @ ( powerset @ SV163 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(1034,plain,
! [SV60: $i,SV188: $i,SV178: $i > $o] :
( ( ( SV178 @ SV188 )
= $false )
| ( ( in @ SV188
@ ( dsetconstr @ SV60
@ ^ [SY869: $i] : ( SV178 @ SY869 ) ) )
= $true )
| ( ( in @ SV188 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1035,plain,
! [SV179: $i > $o,SV60: $i,SV189: $i] :
( ( ( in @ SV189
@ ( dsetconstr @ SV60
@ ^ [SY871: $i] : ( SV179 @ SY871 ) ) )
= $false )
| ( ( SV179 @ SV189 )
= $true )
| ( ( in @ SV189 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(1036,plain,
! [SV121: $i > $o,SV205: $i,SV61: $i > $o] :
( ( ( ~ ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
| ~ ( ( SV205
!= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV61 @ SV205 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[962]) ).
thf(1037,plain,
! [SV121: $i > $o,SV61: $i > $o] :
( ( ( ~ ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) ) )
= $true )
| ( ( ~ ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) )
= $true )
| ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[963]) ).
thf(1038,plain,
! [SV121: $i > $o,SV61: $i > $o] :
( ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[964]) ).
thf(1039,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( in @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) @ SV62 )
= $true )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(1040,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) @ SV122 )
| ~ ~ ( ( ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 )
!= ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
| ~ ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[966]) ).
thf(1041,plain,
! [SV147: $i,SV211: $i,SV63: $i > $o] :
( ( ( ~ ( SV63 @ SV211 ) )
= $true )
| ( ( ! [SY891: $i] :
( ~ ( SV63 @ SY891 )
| ( SV211 = SY891 ) ) )
= $true )
| ( ( SV63 @ ( sK46_SY222 @ SV147 @ SV63 ) )
= $true )
| ( ( SV63 @ SV147 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1042,plain,
! [SV147: $i,SV215: $i,SV63: $i > $o] :
( ( ( ~ ( SV63 @ SV215 )
| ! [SY895: $i] :
( ~ ( SV63 @ SY895 )
| ( SV215 = SY895 ) ) )
= $true )
| ( ( SV147
= ( sK46_SY222 @ SV147 @ SV63 ) )
= $false )
| ( ( SV63 @ SV147 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1043,plain,
! [SV148: $i,SV64: $i > $o] :
( ( ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) )
| ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) )
= $false )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $false )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1044,plain,
! [SV148: $i,SV64: $i > $o] :
( ( ( ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) ) )
= $true )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $true )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[970]) ).
thf(1045,plain,
! [SV148: $i,SV64: $i > $o] :
( ( ( SV64 @ ( sK44_SY209 @ SV64 ) )
= $true )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $true )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[971]) ).
thf(1046,plain,
! [SV123: $i > $o,SV65: $i,SV193: $i] :
( ( ( in @ SV193 @ SV65 )
= $false )
| ( ( SV123 @ SV193 )
= $false )
| ( ( in @ ( sK34_Xx @ SV123 @ SV65 ) @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1047,plain,
! [SV123: $i > $o,SV65: $i,SV194: $i] :
( ( ( in @ SV194 @ SV65 )
= $false )
| ( ( SV123 @ SV194 )
= $false )
| ( ( SV123 @ ( sK34_Xx @ SV123 @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(1048,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) ) )
= $false )
| ( ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
= $true )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1049,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) )
= $false )
| ( ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
= $true )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1050,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) )
| ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) )
= $false )
| ( ( SV149
= ( sK31_SY140 @ SV149 @ SV66 ) )
= $false )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1051,plain,
! [SV181: $i,SV164: $i,SV195: $i] :
( ( ( in @ SV195 @ SV164 )
= $false )
| ( ( in @ SV181 @ SV195 )
= $false )
| ( ( in @ SV181 @ ( setunion @ SV164 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(1052,plain,
! [SV165: $i,SV182: $i] :
( ( ( in @ SV182 @ ( sK6_B @ SV182 @ SV165 ) )
= $true )
| ( ( in @ SV182 @ ( setunion @ SV165 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[977]) ).
thf(1053,plain,
! [SV165: $i,SV182: $i] :
( ( ( in @ ( sK6_B @ SV182 @ SV165 ) @ SV165 )
= $true )
| ( ( in @ SV182 @ ( setunion @ SV165 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(1054,plain,
! [SV67: $i,SV124: $i,SV183: $o] :
( ( ( ~ ( in @ ( sK29_B @ SV183 @ SV124 @ SV67 ) @ SV67 )
| ~ ~ SV183 )
= $false )
| ( SV183 = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1055,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ( in @ ( sK29_B @ $true @ SV124 @ SV67 ) @ SV67 )
| ~ ~ $true )
= $false )
| ( $true = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(1056,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ( in @ ( sK29_B @ $false @ SV124 @ SV67 ) @ SV67 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(1057,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) ) )
= $false )
| ( ( SV68 @ ( sK42_Xx @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1058,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) )
= $false )
| ( ( SV68 @ ( sK42_Xx @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1059,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ( SV68 @ ( sK43_SY628 @ SV68 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[986]) ).
thf(1060,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ( ( ( sK42_Xx @ SV68 )
!= ( sK43_SY628 @ SV68 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[986]) ).
thf(1061,plain,
! [SV125: $i,SV216: $i,SV69: $i > $i > $o] :
( ( ( ! [SY896: $i] :
( ~ ( SV69 @ SY896 @ SV216 )
| ~ ( in @ SY896 @ SV125 ) )
| ( in @ SV216 @ ( sK8_B @ SV125 @ SV69 ) ) )
= $true )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[987]) ).
thf(1062,plain,
! [SV69: $i > $i > $o,SV125: $i,SV217: $i] :
( ( ( ~ ( in @ SV217 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SV217 @ SV125 @ SV69 ) @ SV217 )
| ~ ( in @ ( sK9_Xy @ SV217 @ SV125 @ SV69 ) @ SV125 ) ) )
= $true )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[988]) ).
thf(1063,plain,
! [SV196: $i,SV125: $i,SV69: $i > $i > $o] :
( ( ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) ) )
= $false )
| ( ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 ) )
= $true )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[989]) ).
thf(1064,plain,
! [SV69: $i > $i > $o,SV125: $i,SV196: $i] :
( ( ( ~ ( ( SV196
!= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) ) ) )
= $false )
| ( ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 ) )
= $true )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[989]) ).
thf(1065,plain,
! [SV151: $i,SV212: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ SV212 ) )
= $true )
| ( ( ! [SY892: $i] :
( ~ ( SV71 @ SY892 )
| ( SV212 = SY892 ) ) )
= $true )
| ( ( SV71 @ ( sK55_SY246 @ SV151 @ SV71 ) )
= $true )
| ( ( SV71 @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[991]) ).
thf(1066,plain,
! [SV151: $i,SV218: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ SV218 )
| ! [SY897: $i] :
( ~ ( SV71 @ SY897 )
| ( SV218 = SY897 ) ) )
= $true )
| ( ( SV151
= ( sK55_SY246 @ SV151 @ SV71 ) )
= $false )
| ( ( SV71 @ SV151 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[992]) ).
thf(1067,plain,
! [SV72: $i] :
( ( ( in @ emptyset @ SV72 )
= $false )
| ( ( in @ ( sK7_Xx @ SV72 ) @ omega )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1068,plain,
! [SV72: $i] :
( ( ( in @ emptyset @ SV72 )
= $false )
| ( ( in @ ( sK7_Xx @ SV72 ) @ SV72 )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ omega )
| ( in @ SY758 @ SV72 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1069,plain,
! [SV72: $i,SV213: $i] :
( ( ( ~ ( in @ SV213 @ omega ) )
= $true )
| ( ( in @ SV213 @ SV72 )
= $true )
| ( ( in @ ( setadjoin @ ( sK7_Xx @ SV72 ) @ ( sK7_Xx @ SV72 ) ) @ SV72 )
= $false )
| ( ( in @ emptyset @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[995]) ).
thf(1070,plain,
! [SV73: $i,SV197: $i,SV127: $i > $o] :
( ( ( SV127 @ SV197 )
= $false )
| ( ( in @ SV197 @ SV73 )
= $false )
| ( ( SV127 @ ( sK37_Xx @ SV127 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1071,plain,
! [SV73: $i,SV198: $i,SV127: $i > $o] :
( ( ( SV127 @ SV198 )
= $false )
| ( ( in @ SV198 @ SV73 )
= $false )
| ( ( in @ ( sK37_Xx @ SV127 @ SV73 ) @ SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1072,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ ( ( SV152 = SV74 )
| ( in @ SV152 @ SV128 )
| ! [SX3: $o] : SX3 ) )
= $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1073,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ ( ( SV152 = SV74 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
= $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1074,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( ( ~ ! [SY846: $o] :
( ~ SY846
| ( in @ SV152 @ SV128 )
| SY846 ) )
= $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1075,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) )
= $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1076,plain,
! [SV75: $i,SV184: $i] :
( ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( ! [SY876: $i] :
~ ( in @ SY876 @ SV184 ) )
= $true )
| ( ( ~ ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1000]) ).
thf(1077,plain,
! [SV75: $i,SV184: $i] :
( ( ( ~ ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 ) )
= $true )
| ( ( ! [SY876: $i] :
~ ( in @ SY876 @ SV184 ) )
= $true )
| ( ( ~ ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1001]) ).
thf(1078,plain,
! [SV214: $i,SV75: $i,SV206: $i] :
( ( ( ~ ( in @ SV206 @ ( sK13_B @ SV75 ) )
| ~ ( in @ SV214 @ ( sK13_B @ SV75 ) ) )
= $true )
| ( ( ! [SY893: $i] :
( ~ ( in @ SY893 @ SV206 )
| ( in @ SY893 @ SV214 ) )
| ! [SY894: $i] :
( ~ ( in @ SY894 @ SV214 )
| ( in @ SY894 @ SV206 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1002]) ).
thf(1079,plain,
! [SV75: $i] :
( ( ! [SY776: $i] :
( ~ ( in @ SY776 @ ( sK13_B @ SV75 ) )
| ! [SY777: $i] :
( ~ ( in @ SY777 @ SY776 )
| ( in @ SY777 @ SV75 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1003]) ).
thf(1080,plain,
! [SV75: $i] :
( ( ! [SY778: $i,SY779: $i] :
( ~ ( in @ SY778 @ SV75 )
| ~ ( in @ SY779 @ SV75 )
| ~ ( ~ ( in @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ~ ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) )
| ~ ( ( in @ SY778 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) )
| ( in @ SY779 @ ( sK14_SY615 @ SY779 @ SY778 @ SV75 ) ) ) ) )
| ( SY778 = SY779 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1081,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) ) )
= $false )
| ( ( SV77 @ ( sK20_SY72 @ SV154 @ SV77 ) )
= $true )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1082,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) )
= $false )
| ( ( SV77 @ ( sK20_SY72 @ SV154 @ SV77 ) )
= $true )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1083,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) )
| ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) )
= $false )
| ( ( SV154
= ( sK20_SY72 @ SV154 @ SV77 ) )
= $false )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1084,plain,
! [SV166: $i,SV79: $i,SV129: $i > $o] :
( ( ( SV129 @ ( sK33_Xx @ SV129 @ SV79 ) )
= $false )
| ( ( SV129 @ SV166 )
= $true )
| ( ( in @ SV166 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1085,plain,
! [SV145: $i,SV51: $i,SV199: $i] :
( ( ( in @ SV199 @ SV51 )
= $false )
| ( ( in @ SV199 @ ( sK12_B @ SV51 ) )
= $false )
| ( ( in @ SV145 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1086,plain,
! [SV173: $i > $o,SV219: $i,SV159: $i > $o] :
( ( ( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
| ~ ( ( SV219
!= ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SV219 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1014]) ).
thf(1087,plain,
! [SV173: $i > $o,SV159: $i > $o] :
( ( ( ~ ( ~ ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ~ ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) ) )
= $false )
| ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1015]) ).
thf(1088,plain,
! [SV173: $i > $o,SV159: $i > $o] :
( ( ( ~ ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) ) )
= $false )
| ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1015]) ).
thf(1089,plain,
! [SV160: $i > $o,SV220: $i,SV174: $i > $o] :
( ( ( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
| ~ ( ( SV220
!= ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SV220 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1016]) ).
thf(1090,plain,
! [SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ( ~ ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ~ ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) ) )
= $false )
| ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1091,plain,
! [SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) ) )
= $false )
| ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1092,plain,
! [SV200: $i,SV52: $i,SV207: $i] :
( ( ( SV207 = SV52 )
= $false )
| ( ( in @ SV207 @ ( setadjoin @ SV52 @ SV200 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1093,plain,
! [SV52: $i,SV201: $i,SV208: $i] :
( ( ( in @ SV208 @ SV201 )
= $false )
| ( ( in @ SV208 @ ( setadjoin @ SV52 @ SV201 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1094,plain,
! [SV116: $i,SV54: $i,SV209: $i,SV202: $i] :
( ( ( SV202 = SV209 )
= $false )
| ( ( ~ ( in @ SV202 @ SV54 )
| ( in @ SV209 @ SV116 ) )
= $true )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1095,plain,
! [SV54: $i,SV116: $i,SV210: $i,SV203: $i] :
( ( ( SV203 = SV210 )
= $false )
| ( ( ~ ( in @ SV210 @ SV116 )
| ( in @ SV203 @ SV54 ) )
= $true )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1096,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) ) )
= $true )
| ( ( SV56 @ ( sK40_Xy @ SV146 @ SV56 ) )
= $true )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1023]) ).
thf(1097,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( SV56 @ ( sK39_SY196 @ SV56 ) )
= $true )
| ( ( SV56 @ ( sK40_Xy @ SV146 @ SV56 ) )
= $true )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1024]) ).
thf(1098,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( ~ ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) ) )
= $false )
| ( ( SV146
= ( sK40_Xy @ SV146 @ SV56 ) )
= $false )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1025]) ).
thf(1099,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( ~ ( SV56 @ ( sK39_SY196 @ SV56 ) ) )
= $false )
| ( ( SV146
= ( sK40_Xy @ SV146 @ SV56 ) )
= $false )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1025]) ).
thf(1100,plain,
! [SV57: $i,SV118: $i] :
( ( ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV118 )
= $true )
| ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1101,plain,
! [SV57: $i,SV118: $i] :
( ( ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV118 )
= $true )
| ( ( SV57 = SV118 )
= $true )
| ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1028]) ).
thf(1102,plain,
! [SV57: $i,SV118: $i] :
( ( ( ~ ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 ) )
= $true )
| ( ( SV57 = SV118 )
= $true )
| ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1029]) ).
thf(1103,plain,
! [SV121: $i > $o,SV205: $i,SV61: $i > $o] :
( ( ( ~ ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) ) )
= $false )
| ( ( ~ ( SV61 @ SV205 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1036]) ).
thf(1104,plain,
! [SV61: $i > $o,SV121: $i > $o,SV205: $i] :
( ( ( ~ ( ( SV205
!= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV61 @ SV205 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1036]) ).
thf(1105,plain,
! [SV121: $i > $o,SV61: $i > $o] :
( ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( ~ ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) ) )
= $true )
| ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1106,plain,
! [SV121: $i > $o,SV61: $i > $o] :
( ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1038]) ).
thf(1107,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( ~ ( in @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) @ SV122 )
| ~ ~ ( ( ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 )
!= ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
| ~ ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1108,plain,
! [SV147: $i,SV211: $i,SV63: $i > $o] :
( ( ( SV63 @ SV211 )
= $false )
| ( ( ! [SY891: $i] :
( ~ ( SV63 @ SY891 )
| ( SV211 = SY891 ) ) )
= $true )
| ( ( SV63 @ ( sK46_SY222 @ SV147 @ SV63 ) )
= $true )
| ( ( SV63 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1109,plain,
! [SV147: $i,SV215: $i,SV63: $i > $o] :
( ( ( ~ ( SV63 @ SV215 ) )
= $true )
| ( ( ! [SY895: $i] :
( ~ ( SV63 @ SY895 )
| ( SV215 = SY895 ) ) )
= $true )
| ( ( SV147
= ( sK46_SY222 @ SV147 @ SV63 ) )
= $false )
| ( ( SV63 @ SV147 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1110,plain,
! [SV148: $i,SV64: $i > $o] :
( ( ( ~ ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) ) )
= $false )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $false )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1043]) ).
thf(1111,plain,
! [SV148: $i,SV64: $i > $o] :
( ( ( ~ ( SV64 @ ( sK44_SY209 @ SV64 ) ) )
= $false )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $false )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1043]) ).
thf(1112,plain,
! [SV148: $i,SV221: $i,SV64: $i > $o] :
( ( ( ~ ( SV64 @ SV221 )
| ( ( sK44_SY209 @ SV64 )
= SV221 ) )
= $true )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $true )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1044]) ).
thf(1113,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) ) )
= $true )
| ( ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
= $true )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1048]) ).
thf(1114,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) )
= $true )
| ( ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
= $true )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1115,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( ~ ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) ) )
= $false )
| ( ( SV149
= ( sK31_SY140 @ SV149 @ SV66 ) )
= $false )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1050]) ).
thf(1116,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( ~ ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) )
= $false )
| ( ( SV149
= ( sK31_SY140 @ SV149 @ SV66 ) )
= $false )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1050]) ).
thf(1117,plain,
! [SV67: $i,SV124: $i,SV183: $o] :
( ( ( ~ ( in @ ( sK29_B @ SV183 @ SV124 @ SV67 ) @ SV67 ) )
= $false )
| ( SV183 = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1054]) ).
thf(1118,plain,
! [SV67: $i,SV124: $i,SV183: $o] :
( ( ( ~ ~ SV183 )
= $false )
| ( SV183 = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1054]) ).
thf(1119,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ( in @ ( sK29_B @ $true @ SV124 @ SV67 ) @ SV67 ) )
= $false )
| ( $true = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1055]) ).
thf(1120,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ~ $true )
= $false )
| ( $true = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1055]) ).
thf(1121,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ( in @ ( sK29_B @ $false @ SV124 @ SV67 ) @ SV67 ) )
= $false )
| ( $false = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1056]) ).
thf(1122,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1056]) ).
thf(1123,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) ) )
= $true )
| ( ( SV68 @ ( sK42_Xx @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1057]) ).
thf(1124,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( SV68 @ ( sK41_SY203 @ SV68 ) )
= $true )
| ( ( SV68 @ ( sK42_Xx @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1058]) ).
thf(1125,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( SV68 @ ( sK43_SY628 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1059]) ).
thf(1126,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ( sK42_Xx @ SV68 )
!= ( sK43_SY628 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1060]) ).
thf(1127,plain,
! [SV125: $i,SV216: $i,SV69: $i > $i > $o] :
( ( ( ! [SY896: $i] :
( ~ ( SV69 @ SY896 @ SV216 )
| ~ ( in @ SY896 @ SV125 ) ) )
= $true )
| ( ( in @ SV216 @ ( sK8_B @ SV125 @ SV69 ) )
= $true )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1128,plain,
! [SV69: $i > $i > $o,SV125: $i,SV217: $i] :
( ( ( ~ ( in @ SV217 @ ( sK8_B @ SV125 @ SV69 ) ) )
= $true )
| ( ( ~ ( ~ ( SV69 @ ( sK9_Xy @ SV217 @ SV125 @ SV69 ) @ SV217 )
| ~ ( in @ ( sK9_Xy @ SV217 @ SV125 @ SV69 ) @ SV125 ) ) )
= $true )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1062]) ).
thf(1129,plain,
! [SV196: $i,SV125: $i,SV69: $i > $i > $o] :
( ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 ) )
= $true )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1063]) ).
thf(1130,plain,
! [SV69: $i > $i > $o,SV125: $i,SV196: $i] :
( ( ( SV196
!= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 ) )
= $true )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1064]) ).
thf(1131,plain,
! [SV151: $i,SV212: $i,SV71: $i > $o] :
( ( ( SV71 @ SV212 )
= $false )
| ( ( ! [SY892: $i] :
( ~ ( SV71 @ SY892 )
| ( SV212 = SY892 ) ) )
= $true )
| ( ( SV71 @ ( sK55_SY246 @ SV151 @ SV71 ) )
= $true )
| ( ( SV71 @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1132,plain,
! [SV151: $i,SV218: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ SV218 ) )
= $true )
| ( ( ! [SY897: $i] :
( ~ ( SV71 @ SY897 )
| ( SV218 = SY897 ) ) )
= $true )
| ( ( SV151
= ( sK55_SY246 @ SV151 @ SV71 ) )
= $false )
| ( ( SV71 @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1066]) ).
thf(1133,plain,
! [SV72: $i,SV222: $i] :
( ( ( ~ ( in @ SV222 @ omega )
| ( in @ SV222 @ SV72 ) )
= $true )
| ( ( in @ ( sK7_Xx @ SV72 ) @ omega )
= $true )
| ( ( in @ emptyset @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1067]) ).
thf(1134,plain,
! [SV72: $i,SV223: $i] :
( ( ( ~ ( in @ SV223 @ omega )
| ( in @ SV223 @ SV72 ) )
= $true )
| ( ( in @ ( sK7_Xx @ SV72 ) @ SV72 )
= $true )
| ( ( in @ emptyset @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1068]) ).
thf(1135,plain,
! [SV72: $i,SV213: $i] :
( ( ( in @ SV213 @ omega )
= $false )
| ( ( in @ SV213 @ SV72 )
= $true )
| ( ( in @ ( setadjoin @ ( sK7_Xx @ SV72 ) @ ( sK7_Xx @ SV72 ) ) @ SV72 )
= $false )
| ( ( in @ emptyset @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1136,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ( SV152 = SV74 )
| ( in @ SV152 @ SV128 )
| ! [SX3: $o] : SX3 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1072]) ).
thf(1137,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ( SV152 = SV74 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1073]) ).
thf(1138,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( ( ! [SY846: $o] :
( ~ SY846
| ( in @ SV152 @ SV128 )
| SY846 ) )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1139,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1140,plain,
! [SV75: $i,SV184: $i,SV224: $i] :
( ( ( ~ ( in @ SV224 @ SV184 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( ~ ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1076]) ).
thf(1141,plain,
! [SV75: $i,SV184: $i] :
( ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( ! [SY876: $i] :
~ ( in @ SY876 @ SV184 ) )
= $true )
| ( ( ~ ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1077]) ).
thf(1142,plain,
! [SV214: $i,SV75: $i,SV206: $i] :
( ( ( ~ ( in @ SV206 @ ( sK13_B @ SV75 ) ) )
= $true )
| ( ( ~ ( in @ SV214 @ ( sK13_B @ SV75 ) ) )
= $true )
| ( ( ! [SY893: $i] :
( ~ ( in @ SY893 @ SV206 )
| ( in @ SY893 @ SV214 ) )
| ! [SY894: $i] :
( ~ ( in @ SY894 @ SV214 )
| ( in @ SY894 @ SV206 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1078]) ).
thf(1143,plain,
! [SV75: $i,SV225: $i] :
( ( ~ ( in @ SV225 @ ( sK13_B @ SV75 ) )
| ! [SY898: $i] :
( ~ ( in @ SY898 @ SV225 )
| ( in @ SY898 @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1079]) ).
thf(1144,plain,
! [SV75: $i,SV226: $i] :
( ( ! [SY899: $i] :
( ~ ( in @ SV226 @ SV75 )
| ~ ( in @ SY899 @ SV75 )
| ~ ( ~ ( in @ ( sK14_SY615 @ SY899 @ SV226 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SV226 @ ( sK14_SY615 @ SY899 @ SV226 @ SV75 ) )
| ~ ( in @ SY899 @ ( sK14_SY615 @ SY899 @ SV226 @ SV75 ) ) )
| ~ ( ( in @ SV226 @ ( sK14_SY615 @ SY899 @ SV226 @ SV75 ) )
| ( in @ SY899 @ ( sK14_SY615 @ SY899 @ SV226 @ SV75 ) ) ) ) )
| ( SV226 = SY899 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1080]) ).
thf(1145,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) ) )
= $true )
| ( ( SV77 @ ( sK20_SY72 @ SV154 @ SV77 ) )
= $true )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1146,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( SV77 @ ( sK19_Xx @ SV77 ) )
= $true )
| ( ( SV77 @ ( sK20_SY72 @ SV154 @ SV77 ) )
= $true )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1082]) ).
thf(1147,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( ~ ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) ) )
= $false )
| ( ( SV154
= ( sK20_SY72 @ SV154 @ SV77 ) )
= $false )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1083]) ).
thf(1148,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( ~ ( SV77 @ ( sK19_Xx @ SV77 ) ) )
= $false )
| ( ( SV154
= ( sK20_SY72 @ SV154 @ SV77 ) )
= $false )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1083]) ).
thf(1149,plain,
! [SV173: $i > $o,SV219: $i,SV159: $i > $o] :
( ( ( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
| ~ ( ( SV219
!= ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) ) ) ) )
= $true )
| ( ( ~ ( SV159 @ SV219 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1086]) ).
thf(1150,plain,
! [SV173: $i > $o,SV159: $i > $o] :
( ( ( ~ ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ~ ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) )
= $true )
| ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1087]) ).
thf(1151,plain,
! [SV173: $i > $o,SV159: $i > $o] :
( ( ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
| ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) )
= $true )
| ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1088]) ).
thf(1152,plain,
! [SV160: $i > $o,SV220: $i,SV174: $i > $o] :
( ( ( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
| ~ ( ( SV220
!= ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) ) ) ) )
= $true )
| ( ( ~ ( SV174 @ SV220 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1089]) ).
thf(1153,plain,
! [SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ~ ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) )
= $true )
| ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1090]) ).
thf(1154,plain,
! [SV174: $i > $o,SV160: $i > $o] :
( ( ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
| ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) )
= $true )
| ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1091]) ).
thf(1155,plain,
! [SV116: $i,SV209: $i,SV54: $i,SV202: $i] :
( ( ( ~ ( in @ SV202 @ SV54 ) )
= $true )
| ( ( in @ SV209 @ SV116 )
= $true )
| ( ( SV202 = SV209 )
= $false )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1094]) ).
thf(1156,plain,
! [SV54: $i,SV203: $i,SV116: $i,SV210: $i] :
( ( ( ~ ( in @ SV210 @ SV116 ) )
= $true )
| ( ( in @ SV203 @ SV54 )
= $true )
| ( ( SV203 = SV210 )
= $false )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1095]) ).
thf(1157,plain,
! [SV146: $i,SV227: $i,SV56: $i > $o] :
( ( ( ~ ( SV56 @ SV227 )
| ( ( sK39_SY196 @ SV56 )
= SV227 ) )
= $true )
| ( ( SV56 @ ( sK40_Xy @ SV146 @ SV56 ) )
= $true )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1096]) ).
thf(1158,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( ! [SY714: $i] :
( ~ ( SV56 @ SY714 )
| ( ( sK39_SY196 @ SV56 )
= SY714 ) ) )
= $true )
| ( ( SV146
= ( sK40_Xy @ SV146 @ SV56 ) )
= $false )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1098]) ).
thf(1159,plain,
! [SV146: $i,SV56: $i > $o] :
( ( ( SV56 @ ( sK39_SY196 @ SV56 ) )
= $true )
| ( ( SV146
= ( sK40_Xy @ SV146 @ SV56 ) )
= $false )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1099]) ).
thf(1160,plain,
! [SV57: $i,SV118: $i] :
( ( ( in @ ( sK23_Xx @ SV118 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV118 )
= $true )
| ( ( in @ ( sK24_Xx @ SV118 @ SV57 ) @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1161,plain,
! [SV121: $i > $o,SV205: $i,SV61: $i > $o] :
( ( ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV61 @ SV205 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1103]) ).
thf(1162,plain,
! [SV61: $i > $o,SV121: $i > $o,SV205: $i] :
( ( ( SV205
!= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV61 @ SV205 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1104]) ).
thf(1163,plain,
! [SV61: $i > $o,SV121: $i > $o] :
( ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) )
| ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1164,plain,
! [SV121: $i > $o,SV228: $i,SV61: $i > $o] :
( ( ( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
| ~ ( ( SV228
!= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SV228 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1165,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( ~ ( in @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) @ SV122 ) )
= $false )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1166,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( ~ ~ ( ( ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 )
!= ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
| ~ ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1167,plain,
! [SV147: $i,SV211: $i,SV229: $i,SV63: $i > $o] :
( ( ( ~ ( SV63 @ SV229 )
| ( SV211 = SV229 ) )
= $true )
| ( ( SV63 @ SV211 )
= $false )
| ( ( SV63 @ ( sK46_SY222 @ SV147 @ SV63 ) )
= $true )
| ( ( SV63 @ SV147 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1108]) ).
thf(1168,plain,
! [SV147: $i,SV215: $i,SV63: $i > $o] :
( ( ( SV63 @ SV215 )
= $false )
| ( ( ! [SY895: $i] :
( ~ ( SV63 @ SY895 )
| ( SV215 = SY895 ) ) )
= $true )
| ( ( SV147
= ( sK46_SY222 @ SV147 @ SV63 ) )
= $false )
| ( ( SV63 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1109]) ).
thf(1169,plain,
! [SV148: $i,SV64: $i > $o] :
( ( ( ! [SY739: $i] :
( ~ ( SV64 @ SY739 )
| ( ( sK44_SY209 @ SV64 )
= SY739 ) ) )
= $true )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $false )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1110]) ).
thf(1170,plain,
! [SV148: $i,SV64: $i > $o] :
( ( ( SV64 @ ( sK44_SY209 @ SV64 ) )
= $true )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $false )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1111]) ).
thf(1171,plain,
! [SV148: $i,SV221: $i,SV64: $i > $o] :
( ( ( ~ ( SV64 @ SV221 ) )
= $true )
| ( ( ( sK44_SY209 @ SV64 )
= SV221 )
= $true )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $true )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1112]) ).
thf(1172,plain,
! [SV149: $i,SV66: $i > $o,SV230: $i] :
( ( ( ( SV230
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SV230 ) )
= $true )
| ( ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
= $true )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1113]) ).
thf(1173,plain,
! [SV149: $i,SV231: $i,SV66: $i > $o] :
( ( ( ~ ( SV66 @ SV231 )
| ( SV231
= ( sK30_Xx @ SV66 ) ) )
= $true )
| ( ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
= $true )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1174,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( ! [SY743: $i] :
( ( SY743
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SY743 ) ) )
= $true )
| ( ( SV149
= ( sK31_SY140 @ SV149 @ SV66 ) )
= $false )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1115]) ).
thf(1175,plain,
! [SV149: $i,SV66: $i > $o] :
( ( ( ! [SY744: $i] :
( ~ ( SV66 @ SY744 )
| ( SY744
= ( sK30_Xx @ SV66 ) ) ) )
= $true )
| ( ( SV149
= ( sK31_SY140 @ SV149 @ SV66 ) )
= $false )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1116]) ).
thf(1176,plain,
! [SV67: $i,SV124: $i,SV183: $o] :
( ( ( in @ ( sK29_B @ SV183 @ SV124 @ SV67 ) @ SV67 )
= $true )
| ( SV183 = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1117]) ).
thf(1177,plain,
! [SV67: $i,SV124: $i,SV183: $o] :
( ( ( ~ SV183 ) = $true )
| ( SV183 = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1118]) ).
thf(1178,plain,
! [SV67: $i,SV124: $i] :
( ( ( in @ ( sK29_B @ $true @ SV124 @ SV67 ) @ SV67 )
= $true )
| ( $true = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1119]) ).
thf(1179,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ $true ) = $true )
| ( $true = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1120]) ).
thf(1180,plain,
! [SV67: $i,SV124: $i] :
( ( ( in @ ( sK29_B @ $false @ SV124 @ SV67 ) @ SV67 )
= $true )
| ( $false = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1121]) ).
thf(1181,plain,
! [SV67: $i,SV124: $i] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1122]) ).
thf(1182,plain,
! [SV150: $i,SV232: $i,SV68: $i > $o] :
( ( ( ~ ( SV68 @ SV232 )
| ( ( sK41_SY203 @ SV68 )
= SV232 ) )
= $true )
| ( ( SV68 @ ( sK42_Xx @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1123]) ).
thf(1183,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) )
= $false )
| ( ( SV68 @ ( sK43_SY628 @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1184,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ( sK42_Xx @ SV68 )
= ( sK43_SY628 @ SV68 ) )
= $false )
| ( ( ~ ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1185,plain,
! [SV125: $i,SV216: $i,SV233: $i,SV69: $i > $i > $o] :
( ( ( ~ ( SV69 @ SV233 @ SV216 )
| ~ ( in @ SV233 @ SV125 ) )
= $true )
| ( ( in @ SV216 @ ( sK8_B @ SV125 @ SV69 ) )
= $true )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1127]) ).
thf(1186,plain,
! [SV69: $i > $i > $o,SV125: $i,SV217: $i] :
( ( ( in @ SV217 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( ~ ( ~ ( SV69 @ ( sK9_Xy @ SV217 @ SV125 @ SV69 ) @ SV217 )
| ~ ( in @ ( sK9_Xy @ SV217 @ SV125 @ SV69 ) @ SV125 ) ) )
= $true )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1187,plain,
! [SV196: $i,SV125: $i,SV69: $i > $i > $o] :
( ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1188,plain,
! [SV69: $i > $i > $o,SV125: $i,SV196: $i] :
( ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( ~ ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 ) )
= $true )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1189,plain,
! [SV151: $i,SV212: $i,SV234: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ SV234 )
| ( SV212 = SV234 ) )
= $true )
| ( ( SV71 @ SV212 )
= $false )
| ( ( SV71 @ ( sK55_SY246 @ SV151 @ SV71 ) )
= $true )
| ( ( SV71 @ SV151 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1131]) ).
thf(1190,plain,
! [SV151: $i,SV218: $i,SV71: $i > $o] :
( ( ( SV71 @ SV218 )
= $false )
| ( ( ! [SY897: $i] :
( ~ ( SV71 @ SY897 )
| ( SV218 = SY897 ) ) )
= $true )
| ( ( SV151
= ( sK55_SY246 @ SV151 @ SV71 ) )
= $false )
| ( ( SV71 @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1191,plain,
! [SV72: $i,SV222: $i] :
( ( ( ~ ( in @ SV222 @ omega ) )
= $true )
| ( ( in @ SV222 @ SV72 )
= $true )
| ( ( in @ ( sK7_Xx @ SV72 ) @ omega )
= $true )
| ( ( in @ emptyset @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1133]) ).
thf(1192,plain,
! [SV72: $i,SV223: $i] :
( ( ( ~ ( in @ SV223 @ omega ) )
= $true )
| ( ( in @ SV223 @ SV72 )
= $true )
| ( ( in @ ( sK7_Xx @ SV72 ) @ SV72 )
= $true )
| ( ( in @ emptyset @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1134]) ).
thf(1193,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( SV152 = SV74 )
= $true )
| ( ( ( in @ SV152 @ SV128 )
| ! [SX3: $o] : SX3 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1136]) ).
thf(1194,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( SV152 = SV74 )
= $true )
| ( ( ! [SX3: $o] :
( ~ SX3
| SX3 ) )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1137]) ).
thf(1195,plain,
! [SV74: $i,SV128: $i,SV152: $i,SV235: $o] :
( ( ( ~ SV235
| ( in @ SV152 @ SV128 )
| SV235 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1138]) ).
thf(1196,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( ( ~ $true
| ( in @ SV152 @ SV128 )
| $true )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1138]) ).
thf(1197,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( ( ~ $false
| ( in @ SV152 @ SV128 )
| $false )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1138]) ).
thf(1198,plain,
! [SV128: $i,SV74: $i,SV152: $i,SV236: $o] :
( ( ( ~ SV236
| ~ SV236
| SV236 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1139]) ).
thf(1199,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ $true
| ~ $true
| $true )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1139]) ).
thf(1200,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ $false
| ~ $false
| $false )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1139]) ).
thf(1201,plain,
! [SV75: $i,SV184: $i,SV224: $i] :
( ( ( in @ SV224 @ SV184 )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( ~ ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1202,plain,
! [SV75: $i,SV184: $i,SV237: $i] :
( ( ( ~ ( in @ SV237 @ SV184 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( ~ ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1141]) ).
thf(1203,plain,
! [SV214: $i,SV75: $i,SV206: $i] :
( ( ( in @ SV206 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( ~ ( in @ SV214 @ ( sK13_B @ SV75 ) ) )
= $true )
| ( ( ! [SY893: $i] :
( ~ ( in @ SY893 @ SV206 )
| ( in @ SY893 @ SV214 ) )
| ! [SY894: $i] :
( ~ ( in @ SY894 @ SV214 )
| ( in @ SY894 @ SV206 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1142]) ).
thf(1204,plain,
! [SV75: $i,SV225: $i] :
( ( ( ~ ( in @ SV225 @ ( sK13_B @ SV75 ) ) )
= $true )
| ( ( ! [SY898: $i] :
( ~ ( in @ SY898 @ SV225 )
| ( in @ SY898 @ SV75 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1143]) ).
thf(1205,plain,
! [SV238: $i,SV75: $i,SV226: $i] :
( ( ~ ( in @ SV226 @ SV75 )
| ~ ( in @ SV238 @ SV75 )
| ~ ( ~ ( in @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ~ ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) )
| ~ ( ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) ) ) )
| ( SV226 = SV238 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1206,plain,
! [SV154: $i,SV239: $i,SV77: $i > $o] :
( ( ( ~ ( SV77 @ SV239 )
| ( ( sK19_Xx @ SV77 )
= SV239 ) )
= $true )
| ( ( SV77 @ ( sK20_SY72 @ SV154 @ SV77 ) )
= $true )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1207,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( ! [SY782: $i] :
( ~ ( SV77 @ SY782 )
| ( ( sK19_Xx @ SV77 )
= SY782 ) ) )
= $true )
| ( ( SV154
= ( sK20_SY72 @ SV154 @ SV77 ) )
= $false )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1208,plain,
! [SV154: $i,SV77: $i > $o] :
( ( ( SV77 @ ( sK19_Xx @ SV77 ) )
= $true )
| ( ( SV154
= ( sK20_SY72 @ SV154 @ SV77 ) )
= $false )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1209,plain,
! [SV173: $i > $o,SV219: $i,SV159: $i > $o] :
( ( ( ~ ( SV159 @ ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
| ~ ( ( SV219
!= ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) ) ) )
= $false )
| ( ( ~ ( SV159 @ SV219 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1210,plain,
! [SV173: $i > $o,SV159: $i > $o] :
( ( ( ~ ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) ) )
= $true )
| ( ( ~ ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) )
= $true )
| ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1150]) ).
thf(1211,plain,
! [SV173: $i > $o,SV159: $i > $o] :
( ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1151]) ).
thf(1212,plain,
! [SV160: $i > $o,SV220: $i,SV174: $i > $o] :
( ( ( ~ ( SV174 @ ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
| ~ ( ( SV220
!= ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) ) ) )
= $false )
| ( ( ~ ( SV174 @ SV220 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1152]) ).
thf(1213,plain,
! [SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) ) )
= $true )
| ( ( ~ ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) )
= $true )
| ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1153]) ).
thf(1214,plain,
! [SV174: $i > $o,SV160: $i > $o] :
( ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1154]) ).
thf(1215,plain,
! [SV116: $i,SV209: $i,SV54: $i,SV202: $i] :
( ( ( in @ SV202 @ SV54 )
= $false )
| ( ( in @ SV209 @ SV116 )
= $true )
| ( ( SV202 = SV209 )
= $false )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1155]) ).
thf(1216,plain,
! [SV54: $i,SV203: $i,SV116: $i,SV210: $i] :
( ( ( in @ SV210 @ SV116 )
= $false )
| ( ( in @ SV203 @ SV54 )
= $true )
| ( ( SV203 = SV210 )
= $false )
| ( ( SV54 = SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1156]) ).
thf(1217,plain,
! [SV146: $i,SV227: $i,SV56: $i > $o] :
( ( ( ~ ( SV56 @ SV227 ) )
= $true )
| ( ( ( sK39_SY196 @ SV56 )
= SV227 )
= $true )
| ( ( SV56 @ ( sK40_Xy @ SV146 @ SV56 ) )
= $true )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1157]) ).
thf(1218,plain,
! [SV146: $i,SV240: $i,SV56: $i > $o] :
( ( ( ~ ( SV56 @ SV240 )
| ( ( sK39_SY196 @ SV56 )
= SV240 ) )
= $true )
| ( ( SV146
= ( sK40_Xy @ SV146 @ SV56 ) )
= $false )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1158]) ).
thf(1219,plain,
! [SV121: $i > $o,SV205: $i,SV61: $i > $o] :
( ( ( SV61 @ SV205 )
= $false )
| ( ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1220,plain,
! [SV61: $i > $o,SV121: $i > $o,SV205: $i] :
( ( ( SV205
= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $false )
| ( ( ~ ( SV61 @ SV205 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1221,plain,
! [SV121: $i > $o,SV61: $i > $o] :
( ( ( ! [SY819: $i] :
( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) )
| ~ ( ( SY819
!= ( sK57_SY255 @ SY819 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SY819 ) ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1163]) ).
thf(1222,plain,
! [SV121: $i > $o,SV228: $i,SV61: $i > $o] :
( ( ( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
| ~ ( ( SV228
!= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) ) ) ) )
= $true )
| ( ( ~ ( SV61 @ SV228 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1164]) ).
thf(1223,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( in @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) @ SV122 )
= $true )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1165]) ).
thf(1224,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( ~ ( ( ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 )
!= ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
| ~ ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1166]) ).
thf(1225,plain,
! [SV147: $i,SV211: $i,SV229: $i,SV63: $i > $o] :
( ( ( ~ ( SV63 @ SV229 ) )
= $true )
| ( ( SV211 = SV229 )
= $true )
| ( ( SV63 @ SV211 )
= $false )
| ( ( SV63 @ ( sK46_SY222 @ SV147 @ SV63 ) )
= $true )
| ( ( SV63 @ SV147 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1167]) ).
thf(1226,plain,
! [SV147: $i,SV215: $i,SV241: $i,SV63: $i > $o] :
( ( ( ~ ( SV63 @ SV241 )
| ( SV215 = SV241 ) )
= $true )
| ( ( SV63 @ SV215 )
= $false )
| ( ( SV147
= ( sK46_SY222 @ SV147 @ SV63 ) )
= $false )
| ( ( SV63 @ SV147 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1168]) ).
thf(1227,plain,
! [SV148: $i,SV242: $i,SV64: $i > $o] :
( ( ( ~ ( SV64 @ SV242 )
| ( ( sK44_SY209 @ SV64 )
= SV242 ) )
= $true )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $false )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1169]) ).
thf(1228,plain,
! [SV148: $i,SV221: $i,SV64: $i > $o] :
( ( ( SV64 @ SV221 )
= $false )
| ( ( ( sK44_SY209 @ SV64 )
= SV221 )
= $true )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $true )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1229,plain,
! [SV149: $i,SV66: $i > $o,SV230: $i] :
( ( ( SV230
!= ( sK30_Xx @ SV66 ) )
= $true )
| ( ( SV66 @ SV230 )
= $true )
| ( ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
= $true )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1172]) ).
thf(1230,plain,
! [SV149: $i,SV231: $i,SV66: $i > $o] :
( ( ( ~ ( SV66 @ SV231 ) )
= $true )
| ( ( SV231
= ( sK30_Xx @ SV66 ) )
= $true )
| ( ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
= $true )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1173]) ).
thf(1231,plain,
! [SV149: $i,SV66: $i > $o,SV243: $i] :
( ( ( ( SV243
!= ( sK30_Xx @ SV66 ) )
| ( SV66 @ SV243 ) )
= $true )
| ( ( SV149
= ( sK31_SY140 @ SV149 @ SV66 ) )
= $false )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1174]) ).
thf(1232,plain,
! [SV149: $i,SV244: $i,SV66: $i > $o] :
( ( ( ~ ( SV66 @ SV244 )
| ( SV244
= ( sK30_Xx @ SV66 ) ) )
= $true )
| ( ( SV149
= ( sK31_SY140 @ SV149 @ SV66 ) )
= $false )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1175]) ).
thf(1233,plain,
! [SV67: $i,SV124: $i,SV183: $o] :
( ( SV183 = $false )
| ( SV183 = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1177]) ).
thf(1234,plain,
! [SV67: $i,SV124: $i] :
( ( $true = $false )
| ( $true = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1235,plain,
! [SV67: $i,SV124: $i] :
( ( $false = $false )
| ( $false = $true )
| ( ( in @ SV124 @ ( setunion @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1236,plain,
! [SV150: $i,SV232: $i,SV68: $i > $o] :
( ( ( ~ ( SV68 @ SV232 ) )
= $true )
| ( ( ( sK41_SY203 @ SV68 )
= SV232 )
= $true )
| ( ( SV68 @ ( sK42_Xx @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1237,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) ) )
= $false )
| ( ( SV68 @ ( sK43_SY628 @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1238,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) )
= $false )
| ( ( SV68 @ ( sK43_SY628 @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1239,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) )
| ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) )
= $false )
| ( ( ( sK42_Xx @ SV68 )
= ( sK43_SY628 @ SV68 ) )
= $false )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1240,plain,
! [SV125: $i,SV216: $i,SV233: $i,SV69: $i > $i > $o] :
( ( ( ~ ( SV69 @ SV233 @ SV216 ) )
= $true )
| ( ( ~ ( in @ SV233 @ SV125 ) )
= $true )
| ( ( in @ SV216 @ ( sK8_B @ SV125 @ SV69 ) )
= $true )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1185]) ).
thf(1241,plain,
! [SV125: $i,SV217: $i,SV69: $i > $i > $o] :
( ( ( ~ ( SV69 @ ( sK9_Xy @ SV217 @ SV125 @ SV69 ) @ SV217 )
| ~ ( in @ ( sK9_Xy @ SV217 @ SV125 @ SV69 ) @ SV125 ) )
= $false )
| ( ( in @ SV217 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1242,plain,
! [SV196: $i,SV125: $i,SV69: $i > $i > $o] :
( ( ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1187]) ).
thf(1243,plain,
! [SV196: $i,SV125: $i,SV69: $i > $i > $o] :
( ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( ~ ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1244,plain,
! [SV151: $i,SV212: $i,SV234: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ SV234 ) )
= $true )
| ( ( SV212 = SV234 )
= $true )
| ( ( SV71 @ SV212 )
= $false )
| ( ( SV71 @ ( sK55_SY246 @ SV151 @ SV71 ) )
= $true )
| ( ( SV71 @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1189]) ).
thf(1245,plain,
! [SV151: $i,SV218: $i,SV245: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ SV245 )
| ( SV218 = SV245 ) )
= $true )
| ( ( SV71 @ SV218 )
= $false )
| ( ( SV151
= ( sK55_SY246 @ SV151 @ SV71 ) )
= $false )
| ( ( SV71 @ SV151 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1190]) ).
thf(1246,plain,
! [SV72: $i,SV222: $i] :
( ( ( in @ SV222 @ omega )
= $false )
| ( ( in @ SV222 @ SV72 )
= $true )
| ( ( in @ ( sK7_Xx @ SV72 ) @ omega )
= $true )
| ( ( in @ emptyset @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1191]) ).
thf(1247,plain,
! [SV72: $i,SV223: $i] :
( ( ( in @ SV223 @ omega )
= $false )
| ( ( in @ SV223 @ SV72 )
= $true )
| ( ( in @ ( sK7_Xx @ SV72 ) @ SV72 )
= $true )
| ( ( in @ emptyset @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1192]) ).
thf(1248,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( ( in @ SV152 @ SV128 )
= $true )
| ( ( ! [SX3: $o] : SX3 )
= $true )
| ( ( SV152 = SV74 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1193]) ).
thf(1249,plain,
! [SV128: $i,SV74: $i,SV152: $i,SV246: $o] :
( ( ( ~ SV246
| SV246 )
= $true )
| ( ( SV152 = SV74 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1194]) ).
thf(1250,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ $true
| $true )
= $true )
| ( ( SV152 = SV74 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1194]) ).
thf(1251,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ $false
| $false )
= $true )
| ( ( SV152 = SV74 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1194]) ).
thf(1252,plain,
! [SV74: $i,SV128: $i,SV152: $i,SV235: $o] :
( ( ( ~ SV235 ) = $true )
| ( ( ( in @ SV152 @ SV128 )
| SV235 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1195]) ).
thf(1253,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( ( ~ $true ) = $true )
| ( ( ( in @ SV152 @ SV128 )
| $true )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1196]) ).
thf(1254,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( ( ~ $false ) = $true )
| ( ( ( in @ SV152 @ SV128 )
| $false )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1197]) ).
thf(1255,plain,
! [SV128: $i,SV74: $i,SV152: $i,SV236: $o] :
( ( ( ~ SV236 ) = $true )
| ( ( ~ SV236
| SV236 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1198]) ).
thf(1256,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ $true ) = $true )
| ( ( ~ $true
| $true )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1199]) ).
thf(1257,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ $false ) = $true )
| ( ( ~ $false
| $false )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1200]) ).
thf(1258,plain,
! [SV224: $i,SV184: $i,SV75: $i] :
( ( ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1201]) ).
thf(1259,plain,
! [SV75: $i,SV184: $i,SV237: $i] :
( ( ( in @ SV237 @ SV184 )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( ~ ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1202]) ).
thf(1260,plain,
! [SV206: $i,SV75: $i,SV214: $i] :
( ( ( in @ SV214 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ SV206 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( ! [SY893: $i] :
( ~ ( in @ SY893 @ SV206 )
| ( in @ SY893 @ SV214 ) )
| ! [SY894: $i] :
( ~ ( in @ SY894 @ SV214 )
| ( in @ SY894 @ SV206 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1203]) ).
thf(1261,plain,
! [SV75: $i,SV225: $i] :
( ( ( in @ SV225 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( ! [SY898: $i] :
( ~ ( in @ SY898 @ SV225 )
| ( in @ SY898 @ SV75 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1204]) ).
thf(1262,plain,
! [SV238: $i,SV75: $i,SV226: $i] :
( ( ( ~ ( in @ SV226 @ SV75 )
| ~ ( in @ SV238 @ SV75 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ~ ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) )
| ~ ( ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) ) ) )
| ( SV226 = SV238 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1205]) ).
thf(1263,plain,
! [SV154: $i,SV239: $i,SV77: $i > $o] :
( ( ( ~ ( SV77 @ SV239 ) )
= $true )
| ( ( ( sK19_Xx @ SV77 )
= SV239 )
= $true )
| ( ( SV77 @ ( sK20_SY72 @ SV154 @ SV77 ) )
= $true )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1206]) ).
thf(1264,plain,
! [SV154: $i,SV247: $i,SV77: $i > $o] :
( ( ( ~ ( SV77 @ SV247 )
| ( ( sK19_Xx @ SV77 )
= SV247 ) )
= $true )
| ( ( SV154
= ( sK20_SY72 @ SV154 @ SV77 ) )
= $false )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1207]) ).
thf(1265,plain,
! [SV173: $i > $o,SV219: $i,SV159: $i > $o] :
( ( ( ~ ( SV159 @ ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) ) )
= $false )
| ( ( ~ ( SV159 @ SV219 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1209]) ).
thf(1266,plain,
! [SV159: $i > $o,SV173: $i > $o,SV219: $i] :
( ( ( ~ ( ( SV219
!= ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) ) ) )
= $false )
| ( ( ~ ( SV159 @ SV219 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1209]) ).
thf(1267,plain,
! [SV173: $i > $o,SV159: $i > $o] :
( ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( ~ ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) ) )
= $true )
| ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1268,plain,
! [SV173: $i > $o,SV159: $i > $o] :
( ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1211]) ).
thf(1269,plain,
! [SV160: $i > $o,SV220: $i,SV174: $i > $o] :
( ( ( ~ ( SV174 @ ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) ) )
= $false )
| ( ( ~ ( SV174 @ SV220 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1212]) ).
thf(1270,plain,
! [SV160: $i > $o,SV174: $i > $o,SV220: $i] :
( ( ( ~ ( ( SV220
!= ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) ) ) )
= $false )
| ( ( ~ ( SV174 @ SV220 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1212]) ).
thf(1271,plain,
! [SV174: $i > $o,SV160: $i > $o] :
( ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( ~ ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) ) )
= $true )
| ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1272,plain,
! [SV160: $i > $o,SV174: $i > $o] :
( ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1214]) ).
thf(1273,plain,
! [SV146: $i,SV227: $i,SV56: $i > $o] :
( ( ( SV56 @ SV227 )
= $false )
| ( ( ( sK39_SY196 @ SV56 )
= SV227 )
= $true )
| ( ( SV56 @ ( sK40_Xy @ SV146 @ SV56 ) )
= $true )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1217]) ).
thf(1274,plain,
! [SV146: $i,SV240: $i,SV56: $i > $o] :
( ( ( ~ ( SV56 @ SV240 ) )
= $true )
| ( ( ( sK39_SY196 @ SV56 )
= SV240 )
= $true )
| ( ( SV146
= ( sK40_Xy @ SV146 @ SV56 ) )
= $false )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1218]) ).
thf(1275,plain,
! [SV205: $i,SV61: $i > $o,SV121: $i > $o] :
( ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1219]) ).
thf(1276,plain,
! [SV121: $i > $o,SV205: $i,SV61: $i > $o] :
( ( ( SV61 @ SV205 )
= $false )
| ( ( SV205
= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $false )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1220]) ).
thf(1277,plain,
! [SV121: $i > $o,SV248: $i,SV61: $i > $o] :
( ( ( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
| ~ ( ( SV248
!= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) ) ) )
| ~ ( SV61 @ SV248 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1221]) ).
thf(1278,plain,
! [SV121: $i > $o,SV228: $i,SV61: $i > $o] :
( ( ( ~ ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
| ~ ( ( SV228
!= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV61 @ SV228 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1222]) ).
thf(1279,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( ( ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 )
!= ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
| ~ ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1224]) ).
thf(1280,plain,
! [SV147: $i,SV211: $i,SV229: $i,SV63: $i > $o] :
( ( ( SV63 @ SV229 )
= $false )
| ( ( SV211 = SV229 )
= $true )
| ( ( SV63 @ SV211 )
= $false )
| ( ( SV63 @ ( sK46_SY222 @ SV147 @ SV63 ) )
= $true )
| ( ( SV63 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1225]) ).
thf(1281,plain,
! [SV147: $i,SV215: $i,SV241: $i,SV63: $i > $o] :
( ( ( ~ ( SV63 @ SV241 ) )
= $true )
| ( ( SV215 = SV241 )
= $true )
| ( ( SV63 @ SV215 )
= $false )
| ( ( SV147
= ( sK46_SY222 @ SV147 @ SV63 ) )
= $false )
| ( ( SV63 @ SV147 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1226]) ).
thf(1282,plain,
! [SV148: $i,SV242: $i,SV64: $i > $o] :
( ( ( ~ ( SV64 @ SV242 ) )
= $true )
| ( ( ( sK44_SY209 @ SV64 )
= SV242 )
= $true )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $false )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1227]) ).
thf(1283,plain,
! [SV149: $i,SV66: $i > $o,SV230: $i] :
( ( ( SV230
= ( sK30_Xx @ SV66 ) )
= $false )
| ( ( SV66 @ SV230 )
= $true )
| ( ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
= $true )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1284,plain,
! [SV149: $i,SV231: $i,SV66: $i > $o] :
( ( ( SV66 @ SV231 )
= $false )
| ( ( SV231
= ( sK30_Xx @ SV66 ) )
= $true )
| ( ( SV66 @ ( sK31_SY140 @ SV149 @ SV66 ) )
= $true )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1285,plain,
! [SV149: $i,SV66: $i > $o,SV243: $i] :
( ( ( SV243
!= ( sK30_Xx @ SV66 ) )
= $true )
| ( ( SV66 @ SV243 )
= $true )
| ( ( SV149
= ( sK31_SY140 @ SV149 @ SV66 ) )
= $false )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1231]) ).
thf(1286,plain,
! [SV149: $i,SV244: $i,SV66: $i > $o] :
( ( ( ~ ( SV66 @ SV244 ) )
= $true )
| ( ( SV244
= ( sK30_Xx @ SV66 ) )
= $true )
| ( ( SV149
= ( sK31_SY140 @ SV149 @ SV66 ) )
= $false )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1232]) ).
thf(1287,plain,
! [SV150: $i,SV232: $i,SV68: $i > $o] :
( ( ( SV68 @ SV232 )
= $false )
| ( ( ( sK41_SY203 @ SV68 )
= SV232 )
= $true )
| ( ( SV68 @ ( sK42_Xx @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1288,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) ) )
= $true )
| ( ( SV68 @ ( sK43_SY628 @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1237]) ).
thf(1289,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( SV68 @ ( sK41_SY203 @ SV68 ) )
= $true )
| ( ( SV68 @ ( sK43_SY628 @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1238]) ).
thf(1290,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) ) )
= $false )
| ( ( ( sK42_Xx @ SV68 )
= ( sK43_SY628 @ SV68 ) )
= $false )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1239]) ).
thf(1291,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ~ ( SV68 @ ( sK41_SY203 @ SV68 ) ) )
= $false )
| ( ( ( sK42_Xx @ SV68 )
= ( sK43_SY628 @ SV68 ) )
= $false )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1239]) ).
thf(1292,plain,
! [SV125: $i,SV216: $i,SV233: $i,SV69: $i > $i > $o] :
( ( ( SV69 @ SV233 @ SV216 )
= $false )
| ( ( ~ ( in @ SV233 @ SV125 ) )
= $true )
| ( ( in @ SV216 @ ( sK8_B @ SV125 @ SV69 ) )
= $true )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1293,plain,
! [SV125: $i,SV217: $i,SV69: $i > $i > $o] :
( ( ( ~ ( SV69 @ ( sK9_Xy @ SV217 @ SV125 @ SV69 ) @ SV217 ) )
= $false )
| ( ( in @ SV217 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1241]) ).
thf(1294,plain,
! [SV69: $i > $i > $o,SV125: $i,SV217: $i] :
( ( ( ~ ( in @ ( sK9_Xy @ SV217 @ SV125 @ SV69 ) @ SV125 ) )
= $false )
| ( ( in @ SV217 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1241]) ).
thf(1295,plain,
! [SV196: $i,SV125: $i,SV69: $i > $i > $o] :
( ( ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1242]) ).
thf(1296,plain,
! [SV196: $i,SV69: $i > $i > $o,SV125: $i] :
( ( ( ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1242]) ).
thf(1297,plain,
! [SV196: $i,SV125: $i,SV69: $i > $i > $o] :
( ( ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) )
| ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) )
= $false )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1298,plain,
! [SV151: $i,SV212: $i,SV234: $i,SV71: $i > $o] :
( ( ( SV71 @ SV234 )
= $false )
| ( ( SV212 = SV234 )
= $true )
| ( ( SV71 @ SV212 )
= $false )
| ( ( SV71 @ ( sK55_SY246 @ SV151 @ SV71 ) )
= $true )
| ( ( SV71 @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1299,plain,
! [SV151: $i,SV218: $i,SV245: $i,SV71: $i > $o] :
( ( ( ~ ( SV71 @ SV245 ) )
= $true )
| ( ( SV218 = SV245 )
= $true )
| ( ( SV71 @ SV218 )
= $false )
| ( ( SV151
= ( sK55_SY246 @ SV151 @ SV71 ) )
= $false )
| ( ( SV71 @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1245]) ).
thf(1300,plain,
! [SV74: $i,SV128: $i,SV152: $i,SV249: $o] :
( ( SV249 = $true )
| ( ( in @ SV152 @ SV128 )
= $true )
| ( ( SV152 = SV74 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1248]) ).
thf(1301,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( $true = $true )
| ( ( in @ SV152 @ SV128 )
= $true )
| ( ( SV152 = SV74 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1248]) ).
thf(1302,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( $false = $true )
| ( ( in @ SV152 @ SV128 )
= $true )
| ( ( SV152 = SV74 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1248]) ).
thf(1303,plain,
! [SV128: $i,SV74: $i,SV152: $i,SV246: $o] :
( ( ( ~ SV246 ) = $true )
| ( SV246 = $true )
| ( ( SV152 = SV74 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1249]) ).
thf(1304,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ $true ) = $true )
| ( $true = $true )
| ( ( SV152 = SV74 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1250]) ).
thf(1305,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( SV152 = SV74 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1251]) ).
thf(1306,plain,
! [SV74: $i,SV128: $i,SV152: $i,SV235: $o] :
( ( SV235 = $false )
| ( ( ( in @ SV152 @ SV128 )
| SV235 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1307,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( $true = $false )
| ( ( ( in @ SV152 @ SV128 )
| $true )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1253]) ).
thf(1308,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( $false = $false )
| ( ( ( in @ SV152 @ SV128 )
| $false )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1309,plain,
! [SV128: $i,SV74: $i,SV152: $i,SV236: $o] :
( ( SV236 = $false )
| ( ( ~ SV236
| SV236 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1310,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( $true = $false )
| ( ( ~ $true
| $true )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1256]) ).
thf(1311,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( $false = $false )
| ( ( ~ $false
| $false )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1312,plain,
! [SV224: $i,SV184: $i,SV75: $i] :
( ( ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1258]) ).
thf(1313,plain,
! [SV224: $i,SV75: $i,SV184: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1258]) ).
thf(1314,plain,
! [SV237: $i,SV184: $i,SV75: $i] :
( ( ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1315,plain,
! [SV75: $i,SV214: $i,SV206: $i] :
( ( ( ! [SY893: $i] :
( ~ ( in @ SY893 @ SV206 )
| ( in @ SY893 @ SV214 ) ) )
= $true )
| ( ( ! [SY894: $i] :
( ~ ( in @ SY894 @ SV214 )
| ( in @ SY894 @ SV206 ) ) )
= $true )
| ( ( in @ SV206 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ SV214 @ ( sK13_B @ SV75 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1260]) ).
thf(1316,plain,
! [SV75: $i,SV225: $i,SV250: $i] :
( ( ( ~ ( in @ SV250 @ SV225 )
| ( in @ SV250 @ SV75 ) )
= $true )
| ( ( in @ SV225 @ ( sK13_B @ SV75 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1261]) ).
thf(1317,plain,
! [SV238: $i,SV75: $i,SV226: $i] :
( ( ( ~ ( in @ SV226 @ SV75 ) )
= $true )
| ( ( ~ ( in @ SV238 @ SV75 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ~ ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) )
| ~ ( ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) ) ) )
| ( SV226 = SV238 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1262]) ).
thf(1318,plain,
! [SV154: $i,SV239: $i,SV77: $i > $o] :
( ( ( SV77 @ SV239 )
= $false )
| ( ( ( sK19_Xx @ SV77 )
= SV239 )
= $true )
| ( ( SV77 @ ( sK20_SY72 @ SV154 @ SV77 ) )
= $true )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1319,plain,
! [SV154: $i,SV247: $i,SV77: $i > $o] :
( ( ( ~ ( SV77 @ SV247 ) )
= $true )
| ( ( ( sK19_Xx @ SV77 )
= SV247 )
= $true )
| ( ( SV154
= ( sK20_SY72 @ SV154 @ SV77 ) )
= $false )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1264]) ).
thf(1320,plain,
! [SV173: $i > $o,SV219: $i,SV159: $i > $o] :
( ( ( SV159 @ ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $true )
| ( ( ~ ( SV159 @ SV219 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1265]) ).
thf(1321,plain,
! [SV159: $i > $o,SV173: $i > $o,SV219: $i] :
( ( ( SV219
!= ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $true )
| ( ( ~ ( SV159 @ SV219 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1322,plain,
! [SV159: $i > $o,SV173: $i > $o] :
( ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) )
| ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1323,plain,
! [SV173: $i > $o,SV251: $i,SV159: $i > $o] :
( ( ( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
| ~ ( ( SV251
!= ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SV251 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1268]) ).
thf(1324,plain,
! [SV160: $i > $o,SV220: $i,SV174: $i > $o] :
( ( ( SV174 @ ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $true )
| ( ( ~ ( SV174 @ SV220 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1269]) ).
thf(1325,plain,
! [SV160: $i > $o,SV174: $i > $o,SV220: $i] :
( ( ( SV220
!= ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $true )
| ( ( ~ ( SV174 @ SV220 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1270]) ).
thf(1326,plain,
! [SV160: $i > $o,SV174: $i > $o] :
( ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) )
| ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1327,plain,
! [SV160: $i > $o,SV252: $i,SV174: $i > $o] :
( ( ( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
| ~ ( ( SV252
!= ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SV252 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1272]) ).
thf(1328,plain,
! [SV146: $i,SV240: $i,SV56: $i > $o] :
( ( ( SV56 @ SV240 )
= $false )
| ( ( ( sK39_SY196 @ SV56 )
= SV240 )
= $true )
| ( ( SV146
= ( sK40_Xy @ SV146 @ SV56 ) )
= $false )
| ( ( SV56 @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1274]) ).
thf(1329,plain,
! [SV205: $i,SV61: $i > $o,SV253: $i,SV121: $i > $o] :
( ( ( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SV253 @ SV121 @ SV61 ) )
| ~ ( ( SV253
!= ( sK56_SY258 @ SV253 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SV253 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1275]) ).
thf(1330,plain,
! [SV205: $i,SV61: $i > $o,SV121: $i > $o] :
( ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV205
= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1276]) ).
thf(1331,plain,
! [SV121: $i > $o,SV248: $i,SV61: $i > $o] :
( ( ( ~ ( ~ ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
| ~ ( ( SV248
!= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) ) ) ) )
= $true )
| ( ( ~ ( SV61 @ SV248 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1277]) ).
thf(1332,plain,
! [SV121: $i > $o,SV228: $i,SV61: $i > $o] :
( ( ( ~ ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) ) )
= $false )
| ( ( ~ ( SV61 @ SV228 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1278]) ).
thf(1333,plain,
! [SV61: $i > $o,SV121: $i > $o,SV228: $i] :
( ( ( ~ ( ( SV228
!= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV61 @ SV228 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1278]) ).
thf(1334,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 )
!= ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) )
= $false )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1279]) ).
thf(1335,plain,
! [SV62: $i,SV122: $i,SV190: $i > $o,SV180: $i > $o] :
( ( ( ~ ~ ( ~ ( ~ ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
| ~ ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1279]) ).
thf(1336,plain,
! [SV147: $i,SV215: $i,SV241: $i,SV63: $i > $o] :
( ( ( SV63 @ SV241 )
= $false )
| ( ( SV215 = SV241 )
= $true )
| ( ( SV63 @ SV215 )
= $false )
| ( ( SV147
= ( sK46_SY222 @ SV147 @ SV63 ) )
= $false )
| ( ( SV63 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1281]) ).
thf(1337,plain,
! [SV148: $i,SV242: $i,SV64: $i > $o] :
( ( ( SV64 @ SV242 )
= $false )
| ( ( ( sK44_SY209 @ SV64 )
= SV242 )
= $true )
| ( ( ( sK45_Xy @ SV148 @ SV64 )
= SV148 )
= $false )
| ( ( SV64 @ ( sK45_Xy @ SV148 @ SV64 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1338,plain,
! [SV149: $i,SV66: $i > $o,SV243: $i] :
( ( ( SV243
= ( sK30_Xx @ SV66 ) )
= $false )
| ( ( SV66 @ SV243 )
= $true )
| ( ( SV149
= ( sK31_SY140 @ SV149 @ SV66 ) )
= $false )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1285]) ).
thf(1339,plain,
! [SV149: $i,SV244: $i,SV66: $i > $o] :
( ( ( SV66 @ SV244 )
= $false )
| ( ( SV244
= ( sK30_Xx @ SV66 ) )
= $true )
| ( ( SV149
= ( sK31_SY140 @ SV149 @ SV66 ) )
= $false )
| ( ( SV66 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1286]) ).
thf(1340,plain,
! [SV150: $i,SV254: $i,SV68: $i > $o] :
( ( ( ~ ( SV68 @ SV254 )
| ( ( sK41_SY203 @ SV68 )
= SV254 ) )
= $true )
| ( ( SV68 @ ( sK43_SY628 @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1288]) ).
thf(1341,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( ! [SY748: $i] :
( ~ ( SV68 @ SY748 )
| ( ( sK41_SY203 @ SV68 )
= SY748 ) ) )
= $true )
| ( ( ( sK42_Xx @ SV68 )
= ( sK43_SY628 @ SV68 ) )
= $false )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1290]) ).
thf(1342,plain,
! [SV150: $i,SV68: $i > $o] :
( ( ( SV68 @ ( sK41_SY203 @ SV68 ) )
= $true )
| ( ( ( sK42_Xx @ SV68 )
= ( sK43_SY628 @ SV68 ) )
= $false )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1291]) ).
thf(1343,plain,
! [SV216: $i,SV69: $i > $i > $o,SV125: $i,SV233: $i] :
( ( ( in @ SV233 @ SV125 )
= $false )
| ( ( SV69 @ SV233 @ SV216 )
= $false )
| ( ( in @ SV216 @ ( sK8_B @ SV125 @ SV69 ) )
= $true )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1344,plain,
! [SV125: $i,SV217: $i,SV69: $i > $i > $o] :
( ( ( SV69 @ ( sK9_Xy @ SV217 @ SV125 @ SV69 ) @ SV217 )
= $true )
| ( ( in @ SV217 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1345,plain,
! [SV69: $i > $i > $o,SV125: $i,SV217: $i] :
( ( ( in @ ( sK9_Xy @ SV217 @ SV125 @ SV69 ) @ SV125 )
= $true )
| ( ( in @ SV217 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( in @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV125 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1294]) ).
thf(1346,plain,
! [SV196: $i,SV125: $i,SV69: $i > $i > $o] :
( ( ( ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1295]) ).
thf(1347,plain,
! [SV196: $i,SV69: $i > $i > $o,SV125: $i] :
( ( ( ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1296]) ).
thf(1348,plain,
! [SV196: $i,SV125: $i,SV69: $i > $i > $o] :
( ( ( ~ ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) ) )
= $false )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1297]) ).
thf(1349,plain,
! [SV196: $i,SV69: $i > $i > $o,SV125: $i] :
( ( ( ~ ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) )
= $false )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1297]) ).
thf(1350,plain,
! [SV151: $i,SV218: $i,SV245: $i,SV71: $i > $o] :
( ( ( SV71 @ SV245 )
= $false )
| ( ( SV218 = SV245 )
= $true )
| ( ( SV71 @ SV218 )
= $false )
| ( ( SV151
= ( sK55_SY246 @ SV151 @ SV71 ) )
= $false )
| ( ( SV71 @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1351,plain,
! [SV128: $i,SV74: $i,SV152: $i,SV246: $o] :
( ( SV246 = $false )
| ( SV246 = $true )
| ( ( SV152 = SV74 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1303]) ).
thf(1352,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( $true = $false )
| ( $true = $true )
| ( ( SV152 = SV74 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1304]) ).
thf(1353,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( $false = $false )
| ( $false = $true )
| ( ( SV152 = SV74 )
= $true )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1354,plain,
! [SV74: $i,SV235: $o,SV128: $i,SV152: $i] :
( ( ( in @ SV152 @ SV128 )
= $true )
| ( SV235 = $true )
| ( SV235 = $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1306]) ).
thf(1355,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( ( in @ SV152 @ SV128 )
= $true )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1307]) ).
thf(1356,plain,
! [SV74: $i,SV128: $i,SV152: $i] :
( ( ( in @ SV152 @ SV128 )
= $true )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1308]) ).
thf(1357,plain,
! [SV128: $i,SV74: $i,SV152: $i,SV236: $o] :
( ( ( ~ SV236 ) = $true )
| ( SV236 = $true )
| ( SV236 = $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1309]) ).
thf(1358,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ $true ) = $true )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1310]) ).
thf(1359,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1311]) ).
thf(1360,plain,
! [SV224: $i,SV184: $i,SV75: $i] :
( ( ( ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1312]) ).
thf(1361,plain,
! [SV224: $i,SV75: $i,SV184: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1313]) ).
thf(1362,plain,
! [SV237: $i,SV184: $i,SV75: $i] :
( ( ( ~ ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1363,plain,
! [SV237: $i,SV75: $i,SV184: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1364,plain,
! [SV75: $i,SV214: $i,SV206: $i,SV255: $i] :
( ( ( ~ ( in @ SV255 @ SV206 )
| ( in @ SV255 @ SV214 ) )
= $true )
| ( ( ! [SY894: $i] :
( ~ ( in @ SY894 @ SV214 )
| ( in @ SY894 @ SV206 ) ) )
= $true )
| ( ( in @ SV206 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ SV214 @ ( sK13_B @ SV75 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1315]) ).
thf(1365,plain,
! [SV75: $i,SV225: $i,SV250: $i] :
( ( ( ~ ( in @ SV250 @ SV225 ) )
= $true )
| ( ( in @ SV250 @ SV75 )
= $true )
| ( ( in @ SV225 @ ( sK13_B @ SV75 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1316]) ).
thf(1366,plain,
! [SV238: $i,SV75: $i,SV226: $i] :
( ( ( in @ SV226 @ SV75 )
= $false )
| ( ( ~ ( in @ SV238 @ SV75 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ~ ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) )
| ~ ( ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) ) ) )
| ( SV226 = SV238 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1317]) ).
thf(1367,plain,
! [SV154: $i,SV247: $i,SV77: $i > $o] :
( ( ( SV77 @ SV247 )
= $false )
| ( ( ( sK19_Xx @ SV77 )
= SV247 )
= $true )
| ( ( SV154
= ( sK20_SY72 @ SV154 @ SV77 ) )
= $false )
| ( ( SV77 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1368,plain,
! [SV173: $i > $o,SV219: $i,SV159: $i > $o] :
( ( ( SV159 @ SV219 )
= $false )
| ( ( SV159 @ ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1320]) ).
thf(1369,plain,
! [SV159: $i > $o,SV173: $i > $o,SV219: $i] :
( ( ( SV219
= ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $false )
| ( ( ~ ( SV159 @ SV219 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1321]) ).
thf(1370,plain,
! [SV173: $i > $o,SV159: $i > $o] :
( ( ( ! [SY862: $i] :
( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) )
| ~ ( ( SY862
!= ( sK52_SY231 @ SY862 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SY862 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1322]) ).
thf(1371,plain,
! [SV173: $i > $o,SV251: $i,SV159: $i > $o] :
( ( ( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
| ~ ( ( SV251
!= ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) ) ) ) )
= $true )
| ( ( ~ ( SV159 @ SV251 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1323]) ).
thf(1372,plain,
! [SV160: $i > $o,SV220: $i,SV174: $i > $o] :
( ( ( SV174 @ SV220 )
= $false )
| ( ( SV174 @ ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1324]) ).
thf(1373,plain,
! [SV160: $i > $o,SV174: $i > $o,SV220: $i] :
( ( ( SV220
= ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $false )
| ( ( ~ ( SV174 @ SV220 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1325]) ).
thf(1374,plain,
! [SV160: $i > $o,SV174: $i > $o] :
( ( ( ! [SY864: $i] :
( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) )
| ~ ( ( SY864
!= ( sK48_SY234 @ SY864 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SY864 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1326]) ).
thf(1375,plain,
! [SV160: $i > $o,SV252: $i,SV174: $i > $o] :
( ( ( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
| ~ ( ( SV252
!= ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) ) ) ) )
= $true )
| ( ( ~ ( SV174 @ SV252 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1327]) ).
thf(1376,plain,
! [SV205: $i,SV61: $i > $o,SV253: $i,SV121: $i > $o] :
( ( ( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SV253 @ SV121 @ SV61 ) )
| ~ ( ( SV253
!= ( sK56_SY258 @ SV253 @ SV121 @ SV61 ) ) ) ) )
= $true )
| ( ( ~ ( SV121 @ SV253 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1329]) ).
thf(1377,plain,
! [SV205: $i,SV61: $i > $o,SV256: $i,SV121: $i > $o] :
( ( ( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SV256 @ SV121 @ SV61 ) )
| ~ ( ( SV256
!= ( sK56_SY258 @ SV256 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SV256 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV205
= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1330]) ).
thf(1378,plain,
! [SV121: $i > $o,SV248: $i,SV61: $i > $o] :
( ( ( ~ ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
| ~ ( ( SV248
!= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV61 @ SV248 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1379,plain,
! [SV121: $i > $o,SV228: $i,SV61: $i > $o] :
( ( ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV61 @ SV228 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1332]) ).
thf(1380,plain,
! [SV61: $i > $o,SV121: $i > $o,SV228: $i] :
( ( ( SV228
!= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV61 @ SV228 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1333]) ).
thf(1381,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 )
= ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) )
= $true )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1334]) ).
thf(1382,plain,
! [SV62: $i,SV122: $i,SV190: $i > $o,SV180: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
| ~ ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1335]) ).
thf(1383,plain,
! [SV150: $i,SV254: $i,SV68: $i > $o] :
( ( ( ~ ( SV68 @ SV254 ) )
= $true )
| ( ( ( sK41_SY203 @ SV68 )
= SV254 )
= $true )
| ( ( SV68 @ ( sK43_SY628 @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1340]) ).
thf(1384,plain,
! [SV150: $i,SV257: $i,SV68: $i > $o] :
( ( ( ~ ( SV68 @ SV257 )
| ( ( sK41_SY203 @ SV68 )
= SV257 ) )
= $true )
| ( ( ( sK42_Xx @ SV68 )
= ( sK43_SY628 @ SV68 ) )
= $false )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1341]) ).
thf(1385,plain,
! [SV196: $i,SV125: $i,SV258: $i,SV69: $i > $i > $o] :
( ( ( ! [SY900: $i] :
( ~ ( SV69 @ SY900 @ SV258 )
| ~ ( in @ SY900 @ SV125 ) )
| ( in @ SV258 @ ( sK8_B @ SV125 @ SV69 ) ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1346]) ).
thf(1386,plain,
! [SV196: $i,SV69: $i > $i > $o,SV125: $i,SV259: $i] :
( ( ( ~ ( in @ SV259 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SV259 @ SV125 @ SV69 ) @ SV259 )
| ~ ( in @ ( sK9_Xy @ SV259 @ SV125 @ SV69 ) @ SV125 ) ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1347]) ).
thf(1387,plain,
! [SV196: $i,SV125: $i,SV69: $i > $i > $o] :
( ( ( ! [SY830: $i] :
( ! [SY831: $i] :
( ~ ( SV69 @ SY831 @ SY830 )
| ~ ( in @ SY831 @ SV125 ) )
| ( in @ SY830 @ ( sK8_B @ SV125 @ SV69 ) ) ) )
= $true )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1348]) ).
thf(1388,plain,
! [SV196: $i,SV69: $i > $i > $o,SV125: $i] :
( ( ( ! [SY832: $i] :
( ~ ( in @ SY832 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SY832 )
| ~ ( in @ ( sK9_Xy @ SY832 @ SV125 @ SV69 ) @ SV125 ) ) ) )
= $true )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1349]) ).
thf(1389,plain,
! [SV128: $i,SV74: $i,SV152: $i,SV236: $o] :
( ( SV236 = $false )
| ( SV236 = $true )
| ( SV236 = $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1357]) ).
thf(1390,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( $true = $false )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1391,plain,
! [SV128: $i,SV74: $i,SV152: $i] :
( ( $false = $false )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV152 @ ( setadjoin @ SV74 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1359]) ).
thf(1392,plain,
! [SV224: $i,SV184: $i,SV75: $i,SV260: $i] :
( ( ( ~ ( in @ SV260 @ ( sK13_B @ SV75 ) )
| ! [SY901: $i] :
( ~ ( in @ SY901 @ SV260 )
| ( in @ SY901 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV260 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1360]) ).
thf(1393,plain,
! [SV224: $i,SV75: $i,SV184: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1361]) ).
thf(1394,plain,
! [SV237: $i,SV184: $i,SV75: $i] :
( ( ( ! [SY877: $i] :
( ~ ( in @ SY877 @ ( sK13_B @ SV75 ) )
| ! [SY878: $i] :
( ~ ( in @ SY878 @ SY877 )
| ( in @ SY878 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SY877 ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1362]) ).
thf(1395,plain,
! [SV237: $i,SV75: $i,SV184: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1363]) ).
thf(1396,plain,
! [SV75: $i,SV214: $i,SV206: $i,SV255: $i] :
( ( ( ~ ( in @ SV255 @ SV206 ) )
= $true )
| ( ( in @ SV255 @ SV214 )
= $true )
| ( ( ! [SY894: $i] :
( ~ ( in @ SY894 @ SV214 )
| ( in @ SY894 @ SV206 ) ) )
= $true )
| ( ( in @ SV206 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ SV214 @ ( sK13_B @ SV75 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1364]) ).
thf(1397,plain,
! [SV75: $i,SV225: $i,SV250: $i] :
( ( ( in @ SV250 @ SV225 )
= $false )
| ( ( in @ SV250 @ SV75 )
= $true )
| ( ( in @ SV225 @ ( sK13_B @ SV75 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1365]) ).
thf(1398,plain,
! [SV226: $i,SV75: $i,SV238: $i] :
( ( ( in @ SV238 @ SV75 )
= $false )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( ~ ( ~ ( in @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ~ ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) )
| ~ ( ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) ) ) )
| ( SV226 = SV238 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1366]) ).
thf(1399,plain,
! [SV219: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) )
= $false )
| ( ( SV159 @ ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1368]) ).
thf(1400,plain,
! [SV173: $i > $o,SV219: $i,SV159: $i > $o] :
( ( ( SV159 @ SV219 )
= $false )
| ( ( SV219
= ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $false )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1369]) ).
thf(1401,plain,
! [SV173: $i > $o,SV261: $i,SV159: $i > $o] :
( ( ( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
| ~ ( ( SV261
!= ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) ) ) )
| ~ ( SV159 @ SV261 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1370]) ).
thf(1402,plain,
! [SV173: $i > $o,SV251: $i,SV159: $i > $o] :
( ( ( ~ ( SV159 @ ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
| ~ ( ( SV251
!= ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) ) ) )
= $false )
| ( ( ~ ( SV159 @ SV251 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1371]) ).
thf(1403,plain,
! [SV220: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) )
= $false )
| ( ( SV174 @ ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1372]) ).
thf(1404,plain,
! [SV160: $i > $o,SV220: $i,SV174: $i > $o] :
( ( ( SV174 @ SV220 )
= $false )
| ( ( SV220
= ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $false )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1405,plain,
! [SV160: $i > $o,SV262: $i,SV174: $i > $o] :
( ( ( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
| ~ ( ( SV262
!= ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) ) ) )
| ~ ( SV174 @ SV262 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1406,plain,
! [SV160: $i > $o,SV252: $i,SV174: $i > $o] :
( ( ( ~ ( SV174 @ ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
| ~ ( ( SV252
!= ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) ) ) )
= $false )
| ( ( ~ ( SV174 @ SV252 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1375]) ).
thf(1407,plain,
! [SV205: $i,SV61: $i > $o,SV253: $i,SV121: $i > $o] :
( ( ( ~ ( SV121 @ ( sK56_SY258 @ SV253 @ SV121 @ SV61 ) )
| ~ ( ( SV253
!= ( sK56_SY258 @ SV253 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV121 @ SV253 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1376]) ).
thf(1408,plain,
! [SV205: $i,SV61: $i > $o,SV256: $i,SV121: $i > $o] :
( ( ( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SV256 @ SV121 @ SV61 ) )
| ~ ( ( SV256
!= ( sK56_SY258 @ SV256 @ SV121 @ SV61 ) ) ) ) )
= $true )
| ( ( ~ ( SV121 @ SV256 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV205
= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1377]) ).
thf(1409,plain,
! [SV121: $i > $o,SV248: $i,SV61: $i > $o] :
( ( ( ~ ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) ) )
= $false )
| ( ( ~ ( SV61 @ SV248 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1378]) ).
thf(1410,plain,
! [SV61: $i > $o,SV121: $i > $o,SV248: $i] :
( ( ( ~ ( ( SV248
!= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV61 @ SV248 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1378]) ).
thf(1411,plain,
! [SV121: $i > $o,SV228: $i,SV61: $i > $o] :
( ( ( SV61 @ SV228 )
= $false )
| ( ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1379]) ).
thf(1412,plain,
! [SV61: $i > $o,SV121: $i > $o,SV228: $i] :
( ( ( SV228
= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $false )
| ( ( ~ ( SV61 @ SV228 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1380]) ).
thf(1413,plain,
! [SV62: $i,SV122: $i,SV190: $i > $o,SV180: $i > $o] :
( ( ( ~ ( ~ ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
| ~ ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1382]) ).
thf(1414,plain,
! [SV150: $i,SV254: $i,SV68: $i > $o] :
( ( ( SV68 @ SV254 )
= $false )
| ( ( ( sK41_SY203 @ SV68 )
= SV254 )
= $true )
| ( ( SV68 @ ( sK43_SY628 @ SV68 ) )
= $true )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1383]) ).
thf(1415,plain,
! [SV150: $i,SV257: $i,SV68: $i > $o] :
( ( ( ~ ( SV68 @ SV257 ) )
= $true )
| ( ( ( sK41_SY203 @ SV68 )
= SV257 )
= $true )
| ( ( ( sK42_Xx @ SV68 )
= ( sK43_SY628 @ SV68 ) )
= $false )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1384]) ).
thf(1416,plain,
! [SV196: $i,SV125: $i,SV258: $i,SV69: $i > $i > $o] :
( ( ( ! [SY900: $i] :
( ~ ( SV69 @ SY900 @ SV258 )
| ~ ( in @ SY900 @ SV125 ) ) )
= $true )
| ( ( in @ SV258 @ ( sK8_B @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1385]) ).
thf(1417,plain,
! [SV196: $i,SV69: $i > $i > $o,SV125: $i,SV259: $i] :
( ( ( ~ ( in @ SV259 @ ( sK8_B @ SV125 @ SV69 ) ) )
= $true )
| ( ( ~ ( ~ ( SV69 @ ( sK9_Xy @ SV259 @ SV125 @ SV69 ) @ SV259 )
| ~ ( in @ ( sK9_Xy @ SV259 @ SV125 @ SV69 ) @ SV125 ) ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1386]) ).
thf(1418,plain,
! [SV196: $i,SV125: $i,SV263: $i,SV69: $i > $i > $o] :
( ( ( ! [SY902: $i] :
( ~ ( SV69 @ SY902 @ SV263 )
| ~ ( in @ SY902 @ SV125 ) )
| ( in @ SV263 @ ( sK8_B @ SV125 @ SV69 ) ) )
= $true )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1387]) ).
thf(1419,plain,
! [SV196: $i,SV69: $i > $i > $o,SV125: $i,SV264: $i] :
( ( ( ~ ( in @ SV264 @ ( sK8_B @ SV125 @ SV69 ) )
| ~ ( ~ ( SV69 @ ( sK9_Xy @ SV264 @ SV125 @ SV69 ) @ SV264 )
| ~ ( in @ ( sK9_Xy @ SV264 @ SV125 @ SV69 ) @ SV125 ) ) )
= $true )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1388]) ).
thf(1420,plain,
! [SV224: $i,SV184: $i,SV75: $i,SV260: $i] :
( ( ( ~ ( in @ SV260 @ ( sK13_B @ SV75 ) ) )
= $true )
| ( ( ! [SY901: $i] :
( ~ ( in @ SY901 @ SV260 )
| ( in @ SY901 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV260 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1392]) ).
thf(1421,plain,
! [SV224: $i,SV75: $i,SV184: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1393]) ).
thf(1422,plain,
! [SV224: $i,SV75: $i,SV184: $i] :
( ( ( ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1393]) ).
thf(1423,plain,
! [SV237: $i,SV184: $i,SV75: $i,SV265: $i] :
( ( ( ~ ( in @ SV265 @ ( sK13_B @ SV75 ) )
| ! [SY903: $i] :
( ~ ( in @ SY903 @ SV265 )
| ( in @ SY903 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV265 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1394]) ).
thf(1424,plain,
! [SV237: $i,SV75: $i,SV184: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
| ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1425,plain,
! [SV75: $i,SV214: $i,SV206: $i,SV255: $i] :
( ( ( in @ SV255 @ SV206 )
= $false )
| ( ( in @ SV255 @ SV214 )
= $true )
| ( ( ! [SY894: $i] :
( ~ ( in @ SY894 @ SV214 )
| ( in @ SY894 @ SV206 ) ) )
= $true )
| ( ( in @ SV206 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ SV214 @ ( sK13_B @ SV75 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1396]) ).
thf(1426,plain,
! [SV75: $i,SV226: $i,SV238: $i] :
( ( ( ~ ( ~ ( in @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ~ ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) )
| ~ ( ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) ) ) ) )
= $true )
| ( ( SV226 = SV238 )
= $true )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( in @ SV238 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1427,plain,
! [SV219: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) ) )
= $false )
| ( ( SV159 @ ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1399]) ).
thf(1428,plain,
! [SV219: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) )
= $false )
| ( ( SV159 @ ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1399]) ).
thf(1429,plain,
! [SV219: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) )
= $false )
| ( ( SV219
= ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1400]) ).
thf(1430,plain,
! [SV173: $i > $o,SV261: $i,SV159: $i > $o] :
( ( ( ~ ( ~ ( SV159 @ ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
| ~ ( ( SV261
!= ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) ) ) ) )
= $true )
| ( ( ~ ( SV159 @ SV261 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1401]) ).
thf(1431,plain,
! [SV173: $i > $o,SV251: $i,SV159: $i > $o] :
( ( ( ~ ( SV159 @ ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) ) )
= $false )
| ( ( ~ ( SV159 @ SV251 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1402]) ).
thf(1432,plain,
! [SV159: $i > $o,SV173: $i > $o,SV251: $i] :
( ( ( ~ ( ( SV251
!= ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) ) ) )
= $false )
| ( ( ~ ( SV159 @ SV251 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1402]) ).
thf(1433,plain,
! [SV220: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) ) )
= $false )
| ( ( SV174 @ ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1403]) ).
thf(1434,plain,
! [SV220: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) )
= $false )
| ( ( SV174 @ ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1403]) ).
thf(1435,plain,
! [SV220: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) )
= $false )
| ( ( SV220
= ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1404]) ).
thf(1436,plain,
! [SV160: $i > $o,SV262: $i,SV174: $i > $o] :
( ( ( ~ ( ~ ( SV174 @ ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
| ~ ( ( SV262
!= ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) ) ) ) )
= $true )
| ( ( ~ ( SV174 @ SV262 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1405]) ).
thf(1437,plain,
! [SV160: $i > $o,SV252: $i,SV174: $i > $o] :
( ( ( ~ ( SV174 @ ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) ) )
= $false )
| ( ( ~ ( SV174 @ SV252 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1406]) ).
thf(1438,plain,
! [SV160: $i > $o,SV174: $i > $o,SV252: $i] :
( ( ( ~ ( ( SV252
!= ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) ) ) )
= $false )
| ( ( ~ ( SV174 @ SV252 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1406]) ).
thf(1439,plain,
! [SV205: $i,SV61: $i > $o,SV253: $i,SV121: $i > $o] :
( ( ( ~ ( SV121 @ ( sK56_SY258 @ SV253 @ SV121 @ SV61 ) ) )
= $false )
| ( ( ~ ( SV121 @ SV253 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1407]) ).
thf(1440,plain,
! [SV205: $i,SV61: $i > $o,SV121: $i > $o,SV253: $i] :
( ( ( ~ ( ( SV253
!= ( sK56_SY258 @ SV253 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV121 @ SV253 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1407]) ).
thf(1441,plain,
! [SV205: $i,SV61: $i > $o,SV256: $i,SV121: $i > $o] :
( ( ( ~ ( SV121 @ ( sK56_SY258 @ SV256 @ SV121 @ SV61 ) )
| ~ ( ( SV256
!= ( sK56_SY258 @ SV256 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV121 @ SV256 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV205
= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1408]) ).
thf(1442,plain,
! [SV121: $i > $o,SV248: $i,SV61: $i > $o] :
( ( ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV61 @ SV248 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1409]) ).
thf(1443,plain,
! [SV61: $i > $o,SV121: $i > $o,SV248: $i] :
( ( ( SV248
!= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV61 @ SV248 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1410]) ).
thf(1444,plain,
! [SV228: $i,SV61: $i > $o,SV121: $i > $o] :
( ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1411]) ).
thf(1445,plain,
! [SV121: $i > $o,SV228: $i,SV61: $i > $o] :
( ( ( SV61 @ SV228 )
= $false )
| ( ( SV228
= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $false )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1446,plain,
! [SV62: $i,SV122: $i,SV190: $i > $o,SV180: $i > $o] :
( ( ( ~ ( ~ ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1413]) ).
thf(1447,plain,
! [SV62: $i,SV122: $i,SV190: $i > $o,SV180: $i > $o] :
( ( ( ~ ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1413]) ).
thf(1448,plain,
! [SV150: $i,SV257: $i,SV68: $i > $o] :
( ( ( SV68 @ SV257 )
= $false )
| ( ( ( sK41_SY203 @ SV68 )
= SV257 )
= $true )
| ( ( ( sK42_Xx @ SV68 )
= ( sK43_SY628 @ SV68 ) )
= $false )
| ( ( SV68 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1449,plain,
! [SV196: $i,SV125: $i,SV258: $i,SV266: $i,SV69: $i > $i > $o] :
( ( ( ~ ( SV69 @ SV266 @ SV258 )
| ~ ( in @ SV266 @ SV125 ) )
= $true )
| ( ( in @ SV258 @ ( sK8_B @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1416]) ).
thf(1450,plain,
! [SV196: $i,SV69: $i > $i > $o,SV125: $i,SV259: $i] :
( ( ( in @ SV259 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( ~ ( ~ ( SV69 @ ( sK9_Xy @ SV259 @ SV125 @ SV69 ) @ SV259 )
| ~ ( in @ ( sK9_Xy @ SV259 @ SV125 @ SV69 ) @ SV125 ) ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1417]) ).
thf(1451,plain,
! [SV196: $i,SV125: $i,SV263: $i,SV69: $i > $i > $o] :
( ( ( ! [SY902: $i] :
( ~ ( SV69 @ SY902 @ SV263 )
| ~ ( in @ SY902 @ SV125 ) ) )
= $true )
| ( ( in @ SV263 @ ( sK8_B @ SV125 @ SV69 ) )
= $true )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1418]) ).
thf(1452,plain,
! [SV196: $i,SV69: $i > $i > $o,SV125: $i,SV264: $i] :
( ( ( ~ ( in @ SV264 @ ( sK8_B @ SV125 @ SV69 ) ) )
= $true )
| ( ( ~ ( ~ ( SV69 @ ( sK9_Xy @ SV264 @ SV125 @ SV69 ) @ SV264 )
| ~ ( in @ ( sK9_Xy @ SV264 @ SV125 @ SV69 ) @ SV125 ) ) )
= $true )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1419]) ).
thf(1453,plain,
! [SV224: $i,SV184: $i,SV75: $i,SV260: $i] :
( ( ( in @ SV260 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( ! [SY901: $i] :
( ~ ( in @ SY901 @ SV260 )
| ( in @ SY901 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV260 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1420]) ).
thf(1454,plain,
! [SV224: $i,SV75: $i,SV184: $i] :
( ( ( ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1421]) ).
thf(1455,plain,
! [SV224: $i,SV75: $i,SV184: $i] :
( ( ( ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1422]) ).
thf(1456,plain,
! [SV237: $i,SV184: $i,SV75: $i,SV265: $i] :
( ( ( ~ ( in @ SV265 @ ( sK13_B @ SV75 ) ) )
= $true )
| ( ( ! [SY903: $i] :
( ~ ( in @ SY903 @ SV265 )
| ( in @ SY903 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV265 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1423]) ).
thf(1457,plain,
! [SV237: $i,SV75: $i,SV184: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1424]) ).
thf(1458,plain,
! [SV237: $i,SV75: $i,SV184: $i] :
( ( ( ~ ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1424]) ).
thf(1459,plain,
! [SV75: $i,SV255: $i,SV206: $i,SV214: $i,SV267: $i] :
( ( ( ~ ( in @ SV267 @ SV214 )
| ( in @ SV267 @ SV206 ) )
= $true )
| ( ( in @ SV255 @ SV214 )
= $true )
| ( ( in @ SV255 @ SV206 )
= $false )
| ( ( in @ SV206 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ SV214 @ ( sK13_B @ SV75 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1425]) ).
thf(1460,plain,
! [SV75: $i,SV226: $i,SV238: $i] :
( ( ( ~ ( in @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ~ ( ~ ( ~ ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ~ ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) )
| ~ ( ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) ) ) )
= $false )
| ( ( SV226 = SV238 )
= $true )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( in @ SV238 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1461,plain,
! [SV219: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) ) )
= $true )
| ( ( SV159 @ ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1427]) ).
thf(1462,plain,
! [SV219: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1428]) ).
thf(1463,plain,
! [SV219: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) ) )
= $false )
| ( ( SV219
= ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1429]) ).
thf(1464,plain,
! [SV219: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) )
= $false )
| ( ( SV219
= ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1429]) ).
thf(1465,plain,
! [SV173: $i > $o,SV261: $i,SV159: $i > $o] :
( ( ( ~ ( SV159 @ ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
| ~ ( ( SV261
!= ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) ) ) )
= $false )
| ( ( ~ ( SV159 @ SV261 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1466,plain,
! [SV173: $i > $o,SV251: $i,SV159: $i > $o] :
( ( ( SV159 @ ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $true )
| ( ( ~ ( SV159 @ SV251 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1431]) ).
thf(1467,plain,
! [SV159: $i > $o,SV173: $i > $o,SV251: $i] :
( ( ( SV251
!= ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $true )
| ( ( ~ ( SV159 @ SV251 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1432]) ).
thf(1468,plain,
! [SV220: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) ) )
= $true )
| ( ( SV174 @ ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1469,plain,
! [SV220: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1470,plain,
! [SV220: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) ) )
= $false )
| ( ( SV220
= ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1471,plain,
! [SV220: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) )
= $false )
| ( ( SV220
= ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1472,plain,
! [SV160: $i > $o,SV262: $i,SV174: $i > $o] :
( ( ( ~ ( SV174 @ ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
| ~ ( ( SV262
!= ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) ) ) )
= $false )
| ( ( ~ ( SV174 @ SV262 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1473,plain,
! [SV160: $i > $o,SV252: $i,SV174: $i > $o] :
( ( ( SV174 @ ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $true )
| ( ( ~ ( SV174 @ SV252 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1437]) ).
thf(1474,plain,
! [SV160: $i > $o,SV174: $i > $o,SV252: $i] :
( ( ( SV252
!= ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $true )
| ( ( ~ ( SV174 @ SV252 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1438]) ).
thf(1475,plain,
! [SV205: $i,SV61: $i > $o,SV253: $i,SV121: $i > $o] :
( ( ( SV121 @ ( sK56_SY258 @ SV253 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV121 @ SV253 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1439]) ).
thf(1476,plain,
! [SV205: $i,SV61: $i > $o,SV121: $i > $o,SV253: $i] :
( ( ( SV253
!= ( sK56_SY258 @ SV253 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV121 @ SV253 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1440]) ).
thf(1477,plain,
! [SV205: $i,SV61: $i > $o,SV256: $i,SV121: $i > $o] :
( ( ( ~ ( SV121 @ ( sK56_SY258 @ SV256 @ SV121 @ SV61 ) ) )
= $false )
| ( ( ~ ( SV121 @ SV256 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV205
= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1441]) ).
thf(1478,plain,
! [SV205: $i,SV61: $i > $o,SV121: $i > $o,SV256: $i] :
( ( ( ~ ( ( SV256
!= ( sK56_SY258 @ SV256 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV121 @ SV256 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV205
= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1441]) ).
thf(1479,plain,
! [SV121: $i > $o,SV248: $i,SV61: $i > $o] :
( ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1480,plain,
! [SV61: $i > $o,SV121: $i > $o,SV248: $i] :
( ( ( SV248
= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $false )
| ( ( ~ ( SV61 @ SV248 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1481,plain,
! [SV228: $i,SV61: $i > $o,SV268: $i,SV121: $i > $o] :
( ( ( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SV268 @ SV121 @ SV61 ) )
| ~ ( ( SV268
!= ( sK56_SY258 @ SV268 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SV268 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1444]) ).
thf(1482,plain,
! [SV228: $i,SV61: $i > $o,SV121: $i > $o] :
( ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV228
= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1445]) ).
thf(1483,plain,
! [SV62: $i,SV122: $i,SV190: $i > $o,SV180: $i > $o] :
( ( ( ~ ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
= $true )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1446]) ).
thf(1484,plain,
! [SV62: $i,SV122: $i,SV190: $i > $o,SV180: $i > $o] :
( ( ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
| ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
= $true )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1447]) ).
thf(1485,plain,
! [SV196: $i,SV125: $i,SV258: $i,SV266: $i,SV69: $i > $i > $o] :
( ( ( ~ ( SV69 @ SV266 @ SV258 ) )
= $true )
| ( ( ~ ( in @ SV266 @ SV125 ) )
= $true )
| ( ( in @ SV258 @ ( sK8_B @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1449]) ).
thf(1486,plain,
! [SV196: $i,SV125: $i,SV259: $i,SV69: $i > $i > $o] :
( ( ( ~ ( SV69 @ ( sK9_Xy @ SV259 @ SV125 @ SV69 ) @ SV259 )
| ~ ( in @ ( sK9_Xy @ SV259 @ SV125 @ SV69 ) @ SV125 ) )
= $false )
| ( ( in @ SV259 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1450]) ).
thf(1487,plain,
! [SV196: $i,SV125: $i,SV263: $i,SV269: $i,SV69: $i > $i > $o] :
( ( ( ~ ( SV69 @ SV269 @ SV263 )
| ~ ( in @ SV269 @ SV125 ) )
= $true )
| ( ( in @ SV263 @ ( sK8_B @ SV125 @ SV69 ) )
= $true )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1451]) ).
thf(1488,plain,
! [SV196: $i,SV69: $i > $i > $o,SV125: $i,SV264: $i] :
( ( ( in @ SV264 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( ~ ( ~ ( SV69 @ ( sK9_Xy @ SV264 @ SV125 @ SV69 ) @ SV264 )
| ~ ( in @ ( sK9_Xy @ SV264 @ SV125 @ SV69 ) @ SV125 ) ) )
= $true )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1452]) ).
thf(1489,plain,
! [SV224: $i,SV75: $i,SV184: $i,SV260: $i] :
( ( ( ! [SY901: $i] :
( ~ ( in @ SY901 @ SV260 )
| ( in @ SY901 @ ( sK15_SY602 @ SV184 @ SV75 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV260 )
= $true )
| ( ( in @ SV260 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1453]) ).
thf(1490,plain,
! [SV224: $i,SV75: $i,SV184: $i] :
( ( ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1491,plain,
! [SV224: $i,SV75: $i,SV184: $i,SV270: $i] :
( ( ( ~ ( in @ SV270 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SV270 @ SV184 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1455]) ).
thf(1492,plain,
! [SV237: $i,SV184: $i,SV75: $i,SV265: $i] :
( ( ( in @ SV265 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( ! [SY903: $i] :
( ~ ( in @ SY903 @ SV265 )
| ( in @ SY903 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
| ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV265 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1493,plain,
! [SV237: $i,SV75: $i,SV184: $i] :
( ( ( ~ ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1457]) ).
thf(1494,plain,
! [SV237: $i,SV75: $i,SV184: $i] :
( ( ( ! [SY879: $i] :
( ~ ( in @ SY879 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SY879 @ SV184 ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1458]) ).
thf(1495,plain,
! [SV75: $i,SV255: $i,SV206: $i,SV214: $i,SV267: $i] :
( ( ( ~ ( in @ SV267 @ SV214 ) )
= $true )
| ( ( in @ SV267 @ SV206 )
= $true )
| ( ( in @ SV255 @ SV214 )
= $true )
| ( ( in @ SV255 @ SV206 )
= $false )
| ( ( in @ SV206 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ SV214 @ ( sK13_B @ SV75 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1459]) ).
thf(1496,plain,
! [SV75: $i,SV226: $i,SV238: $i] :
( ( ( ~ ( in @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) @ ( sK13_B @ SV75 ) ) )
= $false )
| ( ( SV226 = SV238 )
= $true )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( in @ SV238 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1460]) ).
thf(1497,plain,
! [SV75: $i,SV238: $i,SV226: $i] :
( ( ( ~ ~ ( ~ ( ~ ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ~ ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) )
| ~ ( ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) ) ) )
= $false )
| ( ( SV226 = SV238 )
= $true )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( in @ SV238 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1460]) ).
thf(1498,plain,
! [SV219: $i,SV159: $i > $o,SV271: $i,SV173: $i > $o] :
( ( ( ~ ( SV173 @ SV271 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SV271 ) )
= $true )
| ( ( SV159 @ ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1461]) ).
thf(1499,plain,
! [SV219: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) ) )
= $true )
| ( ( SV219
= ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1463]) ).
thf(1500,plain,
! [SV219: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) )
= $true )
| ( ( SV219
= ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1464]) ).
thf(1501,plain,
! [SV173: $i > $o,SV261: $i,SV159: $i > $o] :
( ( ( ~ ( SV159 @ ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) ) )
= $false )
| ( ( ~ ( SV159 @ SV261 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1465]) ).
thf(1502,plain,
! [SV159: $i > $o,SV173: $i > $o,SV261: $i] :
( ( ( ~ ( ( SV261
!= ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) ) ) )
= $false )
| ( ( ~ ( SV159 @ SV261 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1465]) ).
thf(1503,plain,
! [SV173: $i > $o,SV251: $i,SV159: $i > $o] :
( ( ( SV159 @ SV251 )
= $false )
| ( ( SV159 @ ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1466]) ).
thf(1504,plain,
! [SV159: $i > $o,SV173: $i > $o,SV251: $i] :
( ( ( SV251
= ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $false )
| ( ( ~ ( SV159 @ SV251 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1467]) ).
thf(1505,plain,
! [SV220: $i,SV174: $i > $o,SV272: $i,SV160: $i > $o] :
( ( ( ~ ( SV160 @ SV272 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SV272 ) )
= $true )
| ( ( SV174 @ ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1468]) ).
thf(1506,plain,
! [SV220: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) ) )
= $true )
| ( ( SV220
= ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1470]) ).
thf(1507,plain,
! [SV220: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) )
= $true )
| ( ( SV220
= ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1471]) ).
thf(1508,plain,
! [SV160: $i > $o,SV262: $i,SV174: $i > $o] :
( ( ( ~ ( SV174 @ ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) ) )
= $false )
| ( ( ~ ( SV174 @ SV262 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1472]) ).
thf(1509,plain,
! [SV160: $i > $o,SV174: $i > $o,SV262: $i] :
( ( ( ~ ( ( SV262
!= ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) ) ) )
= $false )
| ( ( ~ ( SV174 @ SV262 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1472]) ).
thf(1510,plain,
! [SV160: $i > $o,SV252: $i,SV174: $i > $o] :
( ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1473]) ).
thf(1511,plain,
! [SV160: $i > $o,SV174: $i > $o,SV252: $i] :
( ( ( SV252
= ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $false )
| ( ( ~ ( SV174 @ SV252 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1474]) ).
thf(1512,plain,
! [SV205: $i,SV61: $i > $o,SV253: $i,SV121: $i > $o] :
( ( ( SV121 @ SV253 )
= $false )
| ( ( SV121 @ ( sK56_SY258 @ SV253 @ SV121 @ SV61 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1475]) ).
thf(1513,plain,
! [SV205: $i,SV61: $i > $o,SV121: $i > $o,SV253: $i] :
( ( ( SV253
= ( sK56_SY258 @ SV253 @ SV121 @ SV61 ) )
= $false )
| ( ( ~ ( SV121 @ SV253 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1476]) ).
thf(1514,plain,
! [SV205: $i,SV61: $i > $o,SV256: $i,SV121: $i > $o] :
( ( ( SV121 @ ( sK56_SY258 @ SV256 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV121 @ SV256 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV205
= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1477]) ).
thf(1515,plain,
! [SV205: $i,SV61: $i > $o,SV121: $i > $o,SV256: $i] :
( ( ( SV256
!= ( sK56_SY258 @ SV256 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV121 @ SV256 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV205
= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1478]) ).
thf(1516,plain,
! [SV248: $i,SV61: $i > $o,SV121: $i > $o] :
( ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1479]) ).
thf(1517,plain,
! [SV121: $i > $o,SV248: $i,SV61: $i > $o] :
( ( ( SV61 @ SV248 )
= $false )
| ( ( SV248
= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $false )
| ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) )
| ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1518,plain,
! [SV228: $i,SV61: $i > $o,SV268: $i,SV121: $i > $o] :
( ( ( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SV268 @ SV121 @ SV61 ) )
| ~ ( ( SV268
!= ( sK56_SY258 @ SV268 @ SV121 @ SV61 ) ) ) ) )
= $true )
| ( ( ~ ( SV121 @ SV268 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1481]) ).
thf(1519,plain,
! [SV228: $i,SV61: $i > $o,SV273: $i,SV121: $i > $o] :
( ( ( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SV273 @ SV121 @ SV61 ) )
| ~ ( ( SV273
!= ( sK56_SY258 @ SV273 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SV273 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV228
= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(1520,plain,
! [SV62: $i,SV122: $i,SV190: $i > $o,SV180: $i > $o] :
( ( ( ~ ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
= $true )
| ( ( ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
= $true )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1483]) ).
thf(1521,plain,
! [SV62: $i,SV122: $i,SV190: $i > $o,SV180: $i > $o] :
( ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
= $true )
| ( ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) )
= $true )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1484]) ).
thf(1522,plain,
! [SV196: $i,SV125: $i,SV258: $i,SV266: $i,SV69: $i > $i > $o] :
( ( ( SV69 @ SV266 @ SV258 )
= $false )
| ( ( ~ ( in @ SV266 @ SV125 ) )
= $true )
| ( ( in @ SV258 @ ( sK8_B @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1485]) ).
thf(1523,plain,
! [SV196: $i,SV125: $i,SV259: $i,SV69: $i > $i > $o] :
( ( ( ~ ( SV69 @ ( sK9_Xy @ SV259 @ SV125 @ SV69 ) @ SV259 ) )
= $false )
| ( ( in @ SV259 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1524,plain,
! [SV196: $i,SV69: $i > $i > $o,SV125: $i,SV259: $i] :
( ( ( ~ ( in @ ( sK9_Xy @ SV259 @ SV125 @ SV69 ) @ SV125 ) )
= $false )
| ( ( in @ SV259 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1525,plain,
! [SV196: $i,SV125: $i,SV263: $i,SV269: $i,SV69: $i > $i > $o] :
( ( ( ~ ( SV69 @ SV269 @ SV263 ) )
= $true )
| ( ( ~ ( in @ SV269 @ SV125 ) )
= $true )
| ( ( in @ SV263 @ ( sK8_B @ SV125 @ SV69 ) )
= $true )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1487]) ).
thf(1526,plain,
! [SV196: $i,SV125: $i,SV264: $i,SV69: $i > $i > $o] :
( ( ( ~ ( SV69 @ ( sK9_Xy @ SV264 @ SV125 @ SV69 ) @ SV264 )
| ~ ( in @ ( sK9_Xy @ SV264 @ SV125 @ SV69 ) @ SV125 ) )
= $false )
| ( ( in @ SV264 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1488]) ).
thf(1527,plain,
! [SV224: $i,SV75: $i,SV184: $i,SV260: $i,SV274: $i] :
( ( ( ~ ( in @ SV274 @ SV260 )
| ( in @ SV274 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
= $true )
| ( ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV260 )
= $true )
| ( ( in @ SV260 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1489]) ).
thf(1528,plain,
! [SV224: $i,SV75: $i,SV184: $i] :
( ( ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1529,plain,
! [SV224: $i,SV75: $i,SV184: $i] :
( ( ( ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1530,plain,
! [SV224: $i,SV75: $i,SV184: $i,SV270: $i] :
( ( ( ~ ( in @ SV270 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
= $true )
| ( ( ~ ( in @ SV270 @ SV184 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1491]) ).
thf(1531,plain,
! [SV237: $i,SV75: $i,SV184: $i,SV265: $i] :
( ( ( ! [SY903: $i] :
( ~ ( in @ SY903 @ SV265 )
| ( in @ SY903 @ ( sK15_SY602 @ SV184 @ SV75 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV265 )
= $true )
| ( ( in @ SV265 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1492]) ).
thf(1532,plain,
! [SV237: $i,SV75: $i,SV184: $i] :
( ( ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
| ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1533,plain,
! [SV237: $i,SV75: $i,SV184: $i,SV275: $i] :
( ( ( ~ ( in @ SV275 @ ( sK15_SY602 @ SV184 @ SV75 ) )
| ~ ( in @ SV275 @ SV184 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1494]) ).
thf(1534,plain,
! [SV75: $i,SV255: $i,SV206: $i,SV214: $i,SV267: $i] :
( ( ( in @ SV267 @ SV214 )
= $false )
| ( ( in @ SV267 @ SV206 )
= $true )
| ( ( in @ SV255 @ SV214 )
= $true )
| ( ( in @ SV255 @ SV206 )
= $false )
| ( ( in @ SV206 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ SV214 @ ( sK13_B @ SV75 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1495]) ).
thf(1535,plain,
! [SV75: $i,SV226: $i,SV238: $i] :
( ( ( in @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) @ ( sK13_B @ SV75 ) )
= $true )
| ( ( SV226 = SV238 )
= $true )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( in @ SV238 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1496]) ).
thf(1536,plain,
! [SV75: $i,SV238: $i,SV226: $i] :
( ( ( ~ ( ~ ( ~ ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ~ ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) )
| ~ ( ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) ) ) )
= $true )
| ( ( SV226 = SV238 )
= $true )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( in @ SV238 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1497]) ).
thf(1537,plain,
! [SV219: $i,SV159: $i > $o,SV271: $i,SV173: $i > $o] :
( ( ( ~ ( SV173 @ SV271 ) )
= $true )
| ( ( ( sK51_SY233 @ SV173 @ SV159 )
= SV271 )
= $true )
| ( ( SV159 @ ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1498]) ).
thf(1538,plain,
! [SV219: $i,SV159: $i > $o,SV276: $i,SV173: $i > $o] :
( ( ( ~ ( SV173 @ SV276 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SV276 ) )
= $true )
| ( ( SV219
= ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1499]) ).
thf(1539,plain,
! [SV173: $i > $o,SV261: $i,SV159: $i > $o] :
( ( ( SV159 @ ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $true )
| ( ( ~ ( SV159 @ SV261 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1501]) ).
thf(1540,plain,
! [SV159: $i > $o,SV173: $i > $o,SV261: $i] :
( ( ( SV261
!= ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $true )
| ( ( ~ ( SV159 @ SV261 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1502]) ).
thf(1541,plain,
! [SV251: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) )
= $false )
| ( ( SV159 @ ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1503]) ).
thf(1542,plain,
! [SV173: $i > $o,SV251: $i,SV159: $i > $o] :
( ( ( SV159 @ SV251 )
= $false )
| ( ( SV251
= ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $false )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1504]) ).
thf(1543,plain,
! [SV220: $i,SV174: $i > $o,SV272: $i,SV160: $i > $o] :
( ( ( ~ ( SV160 @ SV272 ) )
= $true )
| ( ( ( sK47_SY230 @ SV174 @ SV160 )
= SV272 )
= $true )
| ( ( SV174 @ ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1505]) ).
thf(1544,plain,
! [SV220: $i,SV174: $i > $o,SV277: $i,SV160: $i > $o] :
( ( ( ~ ( SV160 @ SV277 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SV277 ) )
= $true )
| ( ( SV220
= ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1506]) ).
thf(1545,plain,
! [SV160: $i > $o,SV262: $i,SV174: $i > $o] :
( ( ( SV174 @ ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $true )
| ( ( ~ ( SV174 @ SV262 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1508]) ).
thf(1546,plain,
! [SV160: $i > $o,SV174: $i > $o,SV262: $i] :
( ( ( SV262
!= ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $true )
| ( ( ~ ( SV174 @ SV262 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1509]) ).
thf(1547,plain,
! [SV252: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) )
= $false )
| ( ( SV174 @ ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1510]) ).
thf(1548,plain,
! [SV160: $i > $o,SV252: $i,SV174: $i > $o] :
( ( ( SV174 @ SV252 )
= $false )
| ( ( SV252
= ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $false )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1549,plain,
! [SV205: $i,SV61: $i > $o,SV253: $i,SV121: $i > $o] :
( ( ( SV121 @ SV253 )
= $false )
| ( ( SV253
= ( sK56_SY258 @ SV253 @ SV121 @ SV61 ) )
= $false )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1513]) ).
thf(1550,plain,
! [SV205: $i,SV61: $i > $o,SV256: $i,SV121: $i > $o] :
( ( ( SV121 @ SV256 )
= $false )
| ( ( SV121 @ ( sK56_SY258 @ SV256 @ SV121 @ SV61 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV205
= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1514]) ).
thf(1551,plain,
! [SV205: $i,SV61: $i > $o,SV121: $i > $o,SV256: $i] :
( ( ( SV256
= ( sK56_SY258 @ SV256 @ SV121 @ SV61 ) )
= $false )
| ( ( ~ ( SV121 @ SV256 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV205
= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1515]) ).
thf(1552,plain,
! [SV248: $i,SV61: $i > $o,SV278: $i,SV121: $i > $o] :
( ( ( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SV278 @ SV121 @ SV61 ) )
| ~ ( ( SV278
!= ( sK56_SY258 @ SV278 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SV278 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1516]) ).
thf(1553,plain,
! [SV248: $i,SV61: $i > $o,SV121: $i > $o] :
( ( ( ! [SY820: $i] :
( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) )
| ~ ( ( SY820
!= ( sK56_SY258 @ SY820 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SY820 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV248
= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1517]) ).
thf(1554,plain,
! [SV228: $i,SV61: $i > $o,SV268: $i,SV121: $i > $o] :
( ( ( ~ ( SV121 @ ( sK56_SY258 @ SV268 @ SV121 @ SV61 ) )
| ~ ( ( SV268
!= ( sK56_SY258 @ SV268 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV121 @ SV268 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1555,plain,
! [SV228: $i,SV61: $i > $o,SV273: $i,SV121: $i > $o] :
( ( ( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SV273 @ SV121 @ SV61 ) )
| ~ ( ( SV273
!= ( sK56_SY258 @ SV273 @ SV121 @ SV61 ) ) ) ) )
= $true )
| ( ( ~ ( SV121 @ SV273 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV228
= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1519]) ).
thf(1556,plain,
! [SV62: $i,SV122: $i,SV190: $i > $o,SV180: $i > $o] :
( ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
= $false )
| ( ( ~ ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) ) )
= $true )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1520]) ).
thf(1557,plain,
! [SV196: $i,SV258: $i,SV69: $i > $i > $o,SV125: $i,SV266: $i] :
( ( ( in @ SV266 @ SV125 )
= $false )
| ( ( SV69 @ SV266 @ SV258 )
= $false )
| ( ( in @ SV258 @ ( sK8_B @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1522]) ).
thf(1558,plain,
! [SV196: $i,SV125: $i,SV259: $i,SV69: $i > $i > $o] :
( ( ( SV69 @ ( sK9_Xy @ SV259 @ SV125 @ SV69 ) @ SV259 )
= $true )
| ( ( in @ SV259 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1523]) ).
thf(1559,plain,
! [SV196: $i,SV69: $i > $i > $o,SV125: $i,SV259: $i] :
( ( ( in @ ( sK9_Xy @ SV259 @ SV125 @ SV69 ) @ SV125 )
= $true )
| ( ( in @ SV259 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1524]) ).
thf(1560,plain,
! [SV196: $i,SV125: $i,SV263: $i,SV269: $i,SV69: $i > $i > $o] :
( ( ( SV69 @ SV269 @ SV263 )
= $false )
| ( ( ~ ( in @ SV269 @ SV125 ) )
= $true )
| ( ( in @ SV263 @ ( sK8_B @ SV125 @ SV69 ) )
= $true )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1525]) ).
thf(1561,plain,
! [SV196: $i,SV125: $i,SV264: $i,SV69: $i > $i > $o] :
( ( ( ~ ( SV69 @ ( sK9_Xy @ SV264 @ SV125 @ SV69 ) @ SV264 ) )
= $false )
| ( ( in @ SV264 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1526]) ).
thf(1562,plain,
! [SV196: $i,SV69: $i > $i > $o,SV125: $i,SV264: $i] :
( ( ( ~ ( in @ ( sK9_Xy @ SV264 @ SV125 @ SV69 ) @ SV125 ) )
= $false )
| ( ( in @ SV264 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1526]) ).
thf(1563,plain,
! [SV224: $i,SV75: $i,SV184: $i,SV260: $i,SV274: $i] :
( ( ( ~ ( in @ SV274 @ SV260 ) )
= $true )
| ( ( in @ SV274 @ ( sK15_SY602 @ SV184 @ SV75 ) )
= $true )
| ( ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV260 )
= $true )
| ( ( in @ SV260 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1527]) ).
thf(1564,plain,
! [SV224: $i,SV75: $i,SV184: $i] :
( ( ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1528]) ).
thf(1565,plain,
! [SV224: $i,SV75: $i,SV184: $i] :
( ( ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1529]) ).
thf(1566,plain,
! [SV224: $i,SV75: $i,SV184: $i,SV270: $i] :
( ( ( in @ SV270 @ ( sK15_SY602 @ SV184 @ SV75 ) )
= $false )
| ( ( ~ ( in @ SV270 @ SV184 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1530]) ).
thf(1567,plain,
! [SV237: $i,SV75: $i,SV184: $i,SV265: $i,SV279: $i] :
( ( ( ~ ( in @ SV279 @ SV265 )
| ( in @ SV279 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
= $true )
| ( ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV265 )
= $true )
| ( ( in @ SV265 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1531]) ).
thf(1568,plain,
! [SV237: $i,SV75: $i,SV184: $i] :
( ( ( ~ ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1532]) ).
thf(1569,plain,
! [SV237: $i,SV75: $i,SV184: $i] :
( ( ( ~ ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1532]) ).
thf(1570,plain,
! [SV237: $i,SV75: $i,SV184: $i,SV275: $i] :
( ( ( ~ ( in @ SV275 @ ( sK15_SY602 @ SV184 @ SV75 ) ) )
= $true )
| ( ( ~ ( in @ SV275 @ SV184 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1533]) ).
thf(1571,plain,
! [SV75: $i,SV238: $i,SV226: $i] :
( ( ( ~ ( ~ ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ~ ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) )
| ~ ( ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) ) )
= $false )
| ( ( SV226 = SV238 )
= $true )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( in @ SV238 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1536]) ).
thf(1572,plain,
! [SV219: $i,SV159: $i > $o,SV271: $i,SV173: $i > $o] :
( ( ( SV173 @ SV271 )
= $false )
| ( ( ( sK51_SY233 @ SV173 @ SV159 )
= SV271 )
= $true )
| ( ( SV159 @ ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1537]) ).
thf(1573,plain,
! [SV219: $i,SV159: $i > $o,SV276: $i,SV173: $i > $o] :
( ( ( ~ ( SV173 @ SV276 ) )
= $true )
| ( ( ( sK51_SY233 @ SV173 @ SV159 )
= SV276 )
= $true )
| ( ( SV219
= ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1538]) ).
thf(1574,plain,
! [SV173: $i > $o,SV261: $i,SV159: $i > $o] :
( ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1539]) ).
thf(1575,plain,
! [SV159: $i > $o,SV173: $i > $o,SV261: $i] :
( ( ( SV261
= ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $false )
| ( ( ~ ( SV159 @ SV261 ) )
= $true )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1576,plain,
! [SV251: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) ) )
= $false )
| ( ( SV159 @ ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1541]) ).
thf(1577,plain,
! [SV251: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) )
= $false )
| ( ( SV159 @ ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1541]) ).
thf(1578,plain,
! [SV251: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) )
= $false )
| ( ( SV251
= ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1542]) ).
thf(1579,plain,
! [SV220: $i,SV174: $i > $o,SV272: $i,SV160: $i > $o] :
( ( ( SV160 @ SV272 )
= $false )
| ( ( ( sK47_SY230 @ SV174 @ SV160 )
= SV272 )
= $true )
| ( ( SV174 @ ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1580,plain,
! [SV220: $i,SV174: $i > $o,SV277: $i,SV160: $i > $o] :
( ( ( ~ ( SV160 @ SV277 ) )
= $true )
| ( ( ( sK47_SY230 @ SV174 @ SV160 )
= SV277 )
= $true )
| ( ( SV220
= ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1544]) ).
thf(1581,plain,
! [SV160: $i > $o,SV262: $i,SV174: $i > $o] :
( ( ( SV174 @ SV262 )
= $false )
| ( ( SV174 @ ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1545]) ).
thf(1582,plain,
! [SV160: $i > $o,SV174: $i > $o,SV262: $i] :
( ( ( SV262
= ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $false )
| ( ( ~ ( SV174 @ SV262 ) )
= $true )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1583,plain,
! [SV252: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) ) )
= $false )
| ( ( SV174 @ ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1547]) ).
thf(1584,plain,
! [SV252: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) )
= $false )
| ( ( SV174 @ ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1547]) ).
thf(1585,plain,
! [SV252: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) )
= $false )
| ( ( SV252
= ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1586,plain,
! [SV205: $i,SV61: $i > $o,SV256: $i,SV121: $i > $o] :
( ( ( SV121 @ SV256 )
= $false )
| ( ( SV256
= ( sK56_SY258 @ SV256 @ SV121 @ SV61 ) )
= $false )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV205
= ( sK57_SY255 @ SV205 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV205 )
= $false )
| ( ( ( sK58_Xx @ SV121 @ SV61 )
= ( sK59_SY634 @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1551]) ).
thf(1587,plain,
! [SV248: $i,SV61: $i > $o,SV278: $i,SV121: $i > $o] :
( ( ( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SV278 @ SV121 @ SV61 ) )
| ~ ( ( SV278
!= ( sK56_SY258 @ SV278 @ SV121 @ SV61 ) ) ) ) )
= $true )
| ( ( ~ ( SV121 @ SV278 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1552]) ).
thf(1588,plain,
! [SV248: $i,SV61: $i > $o,SV280: $i,SV121: $i > $o] :
( ( ( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SV280 @ SV121 @ SV61 ) )
| ~ ( ( SV280
!= ( sK56_SY258 @ SV280 @ SV121 @ SV61 ) ) ) )
| ~ ( SV121 @ SV280 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV248
= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1553]) ).
thf(1589,plain,
! [SV228: $i,SV61: $i > $o,SV268: $i,SV121: $i > $o] :
( ( ( ~ ( SV121 @ ( sK56_SY258 @ SV268 @ SV121 @ SV61 ) ) )
= $false )
| ( ( ~ ( SV121 @ SV268 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1554]) ).
thf(1590,plain,
! [SV228: $i,SV61: $i > $o,SV121: $i > $o,SV268: $i] :
( ( ( ~ ( ( SV268
!= ( sK56_SY258 @ SV268 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV121 @ SV268 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1554]) ).
thf(1591,plain,
! [SV228: $i,SV61: $i > $o,SV273: $i,SV121: $i > $o] :
( ( ( ~ ( SV121 @ ( sK56_SY258 @ SV273 @ SV121 @ SV61 ) )
| ~ ( ( SV273
!= ( sK56_SY258 @ SV273 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV121 @ SV273 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV228
= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1555]) ).
thf(1592,plain,
! [SV62: $i,SV122: $i,SV180: $i > $o,SV190: $i > $o] :
( ( ( SV190 @ ( sK61_SY635 @ SV190 @ SV180 @ SV122 @ SV62 ) )
= $false )
| ( ( SV180 @ ( sK60_Xx @ SV190 @ SV180 @ SV122 @ SV62 ) )
= $false )
| ( ( ( dsetconstr @ SV62
@ ^ [SY873: $i] : ( SV180 @ SY873 ) )
= ( dsetconstr @ SV122
@ ^ [SY883: $i] : ( SV190 @ SY883 ) ) )
= $true )
| ( ( SV62 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1593,plain,
! [SV196: $i,SV263: $i,SV69: $i > $i > $o,SV125: $i,SV269: $i] :
( ( ( in @ SV269 @ SV125 )
= $false )
| ( ( SV69 @ SV269 @ SV263 )
= $false )
| ( ( in @ SV263 @ ( sK8_B @ SV125 @ SV69 ) )
= $true )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1560]) ).
thf(1594,plain,
! [SV196: $i,SV125: $i,SV264: $i,SV69: $i > $i > $o] :
( ( ( SV69 @ ( sK9_Xy @ SV264 @ SV125 @ SV69 ) @ SV264 )
= $true )
| ( ( in @ SV264 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1561]) ).
thf(1595,plain,
! [SV196: $i,SV69: $i > $i > $o,SV125: $i,SV264: $i] :
( ( ( in @ ( sK9_Xy @ SV264 @ SV125 @ SV69 ) @ SV125 )
= $true )
| ( ( in @ SV264 @ ( sK8_B @ SV125 @ SV69 ) )
= $false )
| ( ( SV196
= ( sK11_SY597 @ SV196 @ SV125 @ SV69 ) )
= $false )
| ( ( SV69 @ ( sK10_SY22 @ SV125 @ SV69 ) @ SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1562]) ).
thf(1596,plain,
! [SV224: $i,SV75: $i,SV184: $i,SV260: $i,SV274: $i] :
( ( ( in @ SV274 @ SV260 )
= $false )
| ( ( in @ SV274 @ ( sK15_SY602 @ SV184 @ SV75 ) )
= $true )
| ( ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV260 )
= $true )
| ( ( in @ SV260 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1563]) ).
thf(1597,plain,
! [SV224: $i,SV75: $i,SV184: $i,SV270: $i] :
( ( ( in @ SV270 @ SV184 )
= $false )
| ( ( in @ SV270 @ ( sK15_SY602 @ SV184 @ SV75 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ SV224 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1598,plain,
! [SV237: $i,SV75: $i,SV184: $i,SV265: $i,SV279: $i] :
( ( ( ~ ( in @ SV279 @ SV265 ) )
= $true )
| ( ( in @ SV279 @ ( sK15_SY602 @ SV184 @ SV75 ) )
= $true )
| ( ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV265 )
= $true )
| ( ( in @ SV265 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1567]) ).
thf(1599,plain,
! [SV237: $i,SV75: $i,SV184: $i] :
( ( ( in @ ( sK15_SY602 @ SV184 @ SV75 ) @ ( sK13_B @ SV75 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1568]) ).
thf(1600,plain,
! [SV237: $i,SV75: $i,SV184: $i] :
( ( ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV184 )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1569]) ).
thf(1601,plain,
! [SV237: $i,SV75: $i,SV184: $i,SV275: $i] :
( ( ( in @ SV275 @ ( sK15_SY602 @ SV184 @ SV75 ) )
= $false )
| ( ( ~ ( in @ SV275 @ SV184 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1602,plain,
! [SV75: $i,SV238: $i,SV226: $i] :
( ( ( ~ ( ~ ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ~ ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) ) )
= $false )
| ( ( SV226 = SV238 )
= $true )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( in @ SV238 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1571]) ).
thf(1603,plain,
! [SV75: $i,SV238: $i,SV226: $i] :
( ( ( ~ ( ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) ) )
= $false )
| ( ( SV226 = SV238 )
= $true )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( in @ SV238 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1571]) ).
thf(1604,plain,
! [SV219: $i,SV159: $i > $o,SV276: $i,SV173: $i > $o] :
( ( ( SV173 @ SV276 )
= $false )
| ( ( ( sK51_SY233 @ SV173 @ SV159 )
= SV276 )
= $true )
| ( ( SV219
= ( sK52_SY231 @ SV219 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV219 )
= $false )
| ( ( ( sK53_Xx @ SV173 @ SV159 )
= ( sK54_SY633 @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1573]) ).
thf(1605,plain,
! [SV261: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) )
= $false )
| ( ( SV159 @ ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1574]) ).
thf(1606,plain,
! [SV173: $i > $o,SV261: $i,SV159: $i > $o] :
( ( ( SV159 @ SV261 )
= $false )
| ( ( SV261
= ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $false )
| ( ( ~ ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1575]) ).
thf(1607,plain,
! [SV251: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) ) )
= $true )
| ( ( SV159 @ ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1576]) ).
thf(1608,plain,
! [SV251: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1577]) ).
thf(1609,plain,
! [SV251: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) ) )
= $false )
| ( ( SV251
= ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1578]) ).
thf(1610,plain,
! [SV251: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) )
= $false )
| ( ( SV251
= ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1578]) ).
thf(1611,plain,
! [SV220: $i,SV174: $i > $o,SV277: $i,SV160: $i > $o] :
( ( ( SV160 @ SV277 )
= $false )
| ( ( ( sK47_SY230 @ SV174 @ SV160 )
= SV277 )
= $true )
| ( ( SV220
= ( sK48_SY234 @ SV220 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV220 )
= $false )
| ( ( ( sK49_Xx @ SV174 @ SV160 )
= ( sK50_SY631 @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1580]) ).
thf(1612,plain,
! [SV262: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) )
= $false )
| ( ( SV174 @ ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1581]) ).
thf(1613,plain,
! [SV160: $i > $o,SV262: $i,SV174: $i > $o] :
( ( ( SV174 @ SV262 )
= $false )
| ( ( SV262
= ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $false )
| ( ( ~ ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1582]) ).
thf(1614,plain,
! [SV252: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) ) )
= $true )
| ( ( SV174 @ ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1583]) ).
thf(1615,plain,
! [SV252: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1584]) ).
thf(1616,plain,
! [SV252: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) ) )
= $false )
| ( ( SV252
= ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1585]) ).
thf(1617,plain,
! [SV252: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) )
= $false )
| ( ( SV252
= ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1585]) ).
thf(1618,plain,
! [SV248: $i,SV61: $i > $o,SV278: $i,SV121: $i > $o] :
( ( ( ~ ( SV121 @ ( sK56_SY258 @ SV278 @ SV121 @ SV61 ) )
| ~ ( ( SV278
!= ( sK56_SY258 @ SV278 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV121 @ SV278 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1587]) ).
thf(1619,plain,
! [SV248: $i,SV61: $i > $o,SV280: $i,SV121: $i > $o] :
( ( ( ~ ( ~ ( SV121 @ ( sK56_SY258 @ SV280 @ SV121 @ SV61 ) )
| ~ ( ( SV280
!= ( sK56_SY258 @ SV280 @ SV121 @ SV61 ) ) ) ) )
= $true )
| ( ( ~ ( SV121 @ SV280 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV248
= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1588]) ).
thf(1620,plain,
! [SV228: $i,SV61: $i > $o,SV268: $i,SV121: $i > $o] :
( ( ( SV121 @ ( sK56_SY258 @ SV268 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV121 @ SV268 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1589]) ).
thf(1621,plain,
! [SV228: $i,SV61: $i > $o,SV121: $i > $o,SV268: $i] :
( ( ( SV268
!= ( sK56_SY258 @ SV268 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV121 @ SV268 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1590]) ).
thf(1622,plain,
! [SV228: $i,SV61: $i > $o,SV273: $i,SV121: $i > $o] :
( ( ( ~ ( SV121 @ ( sK56_SY258 @ SV273 @ SV121 @ SV61 ) ) )
= $false )
| ( ( ~ ( SV121 @ SV273 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV228
= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1591]) ).
thf(1623,plain,
! [SV228: $i,SV61: $i > $o,SV121: $i > $o,SV273: $i] :
( ( ( ~ ( ( SV273
!= ( sK56_SY258 @ SV273 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV121 @ SV273 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV228
= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1591]) ).
thf(1624,plain,
! [SV237: $i,SV75: $i,SV184: $i,SV265: $i,SV279: $i] :
( ( ( in @ SV279 @ SV265 )
= $false )
| ( ( in @ SV279 @ ( sK15_SY602 @ SV184 @ SV75 ) )
= $true )
| ( ( in @ ( sK16_SY616 @ SV184 @ SV75 ) @ SV265 )
= $true )
| ( ( in @ SV265 @ ( sK13_B @ SV75 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1598]) ).
thf(1625,plain,
! [SV237: $i,SV75: $i,SV184: $i,SV275: $i] :
( ( ( in @ SV275 @ SV184 )
= $false )
| ( ( in @ SV275 @ ( sK15_SY602 @ SV184 @ SV75 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV184 @ SV75 ) @ SV75 )
= $false )
| ( ( in @ SV237 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1601]) ).
thf(1626,plain,
! [SV75: $i,SV238: $i,SV226: $i] :
( ( ( ~ ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ~ ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) )
= $true )
| ( ( SV226 = SV238 )
= $true )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( in @ SV238 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1602]) ).
thf(1627,plain,
! [SV75: $i,SV238: $i,SV226: $i] :
( ( ( ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
| ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) )
= $true )
| ( ( SV226 = SV238 )
= $true )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( in @ SV238 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1603]) ).
thf(1628,plain,
! [SV261: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) ) )
= $false )
| ( ( SV159 @ ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1605]) ).
thf(1629,plain,
! [SV261: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) )
= $false )
| ( ( SV159 @ ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1605]) ).
thf(1630,plain,
! [SV261: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) )
| ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) )
= $false )
| ( ( SV261
= ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1606]) ).
thf(1631,plain,
! [SV251: $i,SV159: $i > $o,SV281: $i,SV173: $i > $o] :
( ( ( ~ ( SV173 @ SV281 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SV281 ) )
= $true )
| ( ( SV159 @ ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1607]) ).
thf(1632,plain,
! [SV251: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) ) )
= $true )
| ( ( SV251
= ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1609]) ).
thf(1633,plain,
! [SV251: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) )
= $true )
| ( ( SV251
= ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1610]) ).
thf(1634,plain,
! [SV262: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) ) )
= $false )
| ( ( SV174 @ ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1612]) ).
thf(1635,plain,
! [SV262: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) )
= $false )
| ( ( SV174 @ ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1612]) ).
thf(1636,plain,
! [SV262: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) )
| ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) )
= $false )
| ( ( SV262
= ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1613]) ).
thf(1637,plain,
! [SV252: $i,SV174: $i > $o,SV282: $i,SV160: $i > $o] :
( ( ( ~ ( SV160 @ SV282 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SV282 ) )
= $true )
| ( ( SV174 @ ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1614]) ).
thf(1638,plain,
! [SV252: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) ) )
= $true )
| ( ( SV252
= ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1616]) ).
thf(1639,plain,
! [SV252: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) )
= $true )
| ( ( SV252
= ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1617]) ).
thf(1640,plain,
! [SV248: $i,SV61: $i > $o,SV278: $i,SV121: $i > $o] :
( ( ( ~ ( SV121 @ ( sK56_SY258 @ SV278 @ SV121 @ SV61 ) ) )
= $false )
| ( ( ~ ( SV121 @ SV278 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1618]) ).
thf(1641,plain,
! [SV248: $i,SV61: $i > $o,SV121: $i > $o,SV278: $i] :
( ( ( ~ ( ( SV278
!= ( sK56_SY258 @ SV278 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV121 @ SV278 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1618]) ).
thf(1642,plain,
! [SV248: $i,SV61: $i > $o,SV280: $i,SV121: $i > $o] :
( ( ( ~ ( SV121 @ ( sK56_SY258 @ SV280 @ SV121 @ SV61 ) )
| ~ ( ( SV280
!= ( sK56_SY258 @ SV280 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV121 @ SV280 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV248
= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1619]) ).
thf(1643,plain,
! [SV228: $i,SV61: $i > $o,SV268: $i,SV121: $i > $o] :
( ( ( SV121 @ SV268 )
= $false )
| ( ( SV121 @ ( sK56_SY258 @ SV268 @ SV121 @ SV61 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1620]) ).
thf(1644,plain,
! [SV228: $i,SV61: $i > $o,SV121: $i > $o,SV268: $i] :
( ( ( SV268
= ( sK56_SY258 @ SV268 @ SV121 @ SV61 ) )
= $false )
| ( ( ~ ( SV121 @ SV268 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1621]) ).
thf(1645,plain,
! [SV228: $i,SV61: $i > $o,SV273: $i,SV121: $i > $o] :
( ( ( SV121 @ ( sK56_SY258 @ SV273 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV121 @ SV273 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV228
= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1622]) ).
thf(1646,plain,
! [SV228: $i,SV61: $i > $o,SV121: $i > $o,SV273: $i] :
( ( ( SV273
!= ( sK56_SY258 @ SV273 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV121 @ SV273 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV228
= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1623]) ).
thf(1647,plain,
! [SV75: $i,SV238: $i,SV226: $i] :
( ( ( ~ ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) )
= $true )
| ( ( ~ ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) )
= $true )
| ( ( SV226 = SV238 )
= $true )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( in @ SV238 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1626]) ).
thf(1648,plain,
! [SV75: $i,SV238: $i,SV226: $i] :
( ( ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
= $true )
| ( ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
= $true )
| ( ( SV226 = SV238 )
= $true )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( in @ SV238 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1627]) ).
thf(1649,plain,
! [SV261: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) ) )
= $true )
| ( ( SV159 @ ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1628]) ).
thf(1650,plain,
! [SV261: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1629]) ).
thf(1651,plain,
! [SV261: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) ) )
= $false )
| ( ( SV261
= ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1652,plain,
! [SV261: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ~ ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) ) )
= $false )
| ( ( SV261
= ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1653,plain,
! [SV251: $i,SV159: $i > $o,SV281: $i,SV173: $i > $o] :
( ( ( ~ ( SV173 @ SV281 ) )
= $true )
| ( ( ( sK51_SY233 @ SV173 @ SV159 )
= SV281 )
= $true )
| ( ( SV159 @ ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1631]) ).
thf(1654,plain,
! [SV251: $i,SV159: $i > $o,SV283: $i,SV173: $i > $o] :
( ( ( ~ ( SV173 @ SV283 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SV283 ) )
= $true )
| ( ( SV251
= ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1632]) ).
thf(1655,plain,
! [SV262: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) ) )
= $true )
| ( ( SV174 @ ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1634]) ).
thf(1656,plain,
! [SV262: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1635]) ).
thf(1657,plain,
! [SV262: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) ) )
= $false )
| ( ( SV262
= ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1658,plain,
! [SV262: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ~ ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) ) )
= $false )
| ( ( SV262
= ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1659,plain,
! [SV252: $i,SV174: $i > $o,SV282: $i,SV160: $i > $o] :
( ( ( ~ ( SV160 @ SV282 ) )
= $true )
| ( ( ( sK47_SY230 @ SV174 @ SV160 )
= SV282 )
= $true )
| ( ( SV174 @ ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1637]) ).
thf(1660,plain,
! [SV252: $i,SV174: $i > $o,SV284: $i,SV160: $i > $o] :
( ( ( ~ ( SV160 @ SV284 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SV284 ) )
= $true )
| ( ( SV252
= ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1638]) ).
thf(1661,plain,
! [SV248: $i,SV61: $i > $o,SV278: $i,SV121: $i > $o] :
( ( ( SV121 @ ( sK56_SY258 @ SV278 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV121 @ SV278 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1640]) ).
thf(1662,plain,
! [SV248: $i,SV61: $i > $o,SV121: $i > $o,SV278: $i] :
( ( ( SV278
!= ( sK56_SY258 @ SV278 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV121 @ SV278 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1641]) ).
thf(1663,plain,
! [SV248: $i,SV61: $i > $o,SV280: $i,SV121: $i > $o] :
( ( ( ~ ( SV121 @ ( sK56_SY258 @ SV280 @ SV121 @ SV61 ) ) )
= $false )
| ( ( ~ ( SV121 @ SV280 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV248
= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1642]) ).
thf(1664,plain,
! [SV248: $i,SV61: $i > $o,SV121: $i > $o,SV280: $i] :
( ( ( ~ ( ( SV280
!= ( sK56_SY258 @ SV280 @ SV121 @ SV61 ) ) ) )
= $false )
| ( ( ~ ( SV121 @ SV280 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV248
= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1642]) ).
thf(1665,plain,
! [SV228: $i,SV61: $i > $o,SV268: $i,SV121: $i > $o] :
( ( ( SV121 @ SV268 )
= $false )
| ( ( SV268
= ( sK56_SY258 @ SV268 @ SV121 @ SV61 ) )
= $false )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1644]) ).
thf(1666,plain,
! [SV228: $i,SV61: $i > $o,SV273: $i,SV121: $i > $o] :
( ( ( SV121 @ SV273 )
= $false )
| ( ( SV121 @ ( sK56_SY258 @ SV273 @ SV121 @ SV61 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV228
= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1645]) ).
thf(1667,plain,
! [SV228: $i,SV61: $i > $o,SV121: $i > $o,SV273: $i] :
( ( ( SV273
= ( sK56_SY258 @ SV273 @ SV121 @ SV61 ) )
= $false )
| ( ( ~ ( SV121 @ SV273 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV228
= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1646]) ).
thf(1668,plain,
! [SV75: $i,SV238: $i,SV226: $i] :
( ( ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
= $false )
| ( ( ~ ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) ) )
= $true )
| ( ( SV226 = SV238 )
= $true )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( in @ SV238 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1647]) ).
thf(1669,plain,
! [SV261: $i,SV159: $i > $o,SV285: $i,SV173: $i > $o] :
( ( ( ~ ( SV173 @ SV285 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SV285 ) )
= $true )
| ( ( SV159 @ ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1649]) ).
thf(1670,plain,
! [SV261: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( ! [SY863: $i] :
( ~ ( SV173 @ SY863 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SY863 ) ) )
= $true )
| ( ( SV261
= ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1651]) ).
thf(1671,plain,
! [SV261: $i,SV159: $i > $o,SV173: $i > $o] :
( ( ( SV173 @ ( sK51_SY233 @ SV173 @ SV159 ) )
= $true )
| ( ( SV261
= ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1652]) ).
thf(1672,plain,
! [SV251: $i,SV159: $i > $o,SV281: $i,SV173: $i > $o] :
( ( ( SV173 @ SV281 )
= $false )
| ( ( ( sK51_SY233 @ SV173 @ SV159 )
= SV281 )
= $true )
| ( ( SV159 @ ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1653]) ).
thf(1673,plain,
! [SV251: $i,SV159: $i > $o,SV283: $i,SV173: $i > $o] :
( ( ( ~ ( SV173 @ SV283 ) )
= $true )
| ( ( ( sK51_SY233 @ SV173 @ SV159 )
= SV283 )
= $true )
| ( ( SV251
= ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1654]) ).
thf(1674,plain,
! [SV262: $i,SV174: $i > $o,SV286: $i,SV160: $i > $o] :
( ( ( ~ ( SV160 @ SV286 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SV286 ) )
= $true )
| ( ( SV174 @ ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1655]) ).
thf(1675,plain,
! [SV262: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( ! [SY865: $i] :
( ~ ( SV160 @ SY865 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SY865 ) ) )
= $true )
| ( ( SV262
= ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1657]) ).
thf(1676,plain,
! [SV262: $i,SV174: $i > $o,SV160: $i > $o] :
( ( ( SV160 @ ( sK47_SY230 @ SV174 @ SV160 ) )
= $true )
| ( ( SV262
= ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1658]) ).
thf(1677,plain,
! [SV252: $i,SV174: $i > $o,SV282: $i,SV160: $i > $o] :
( ( ( SV160 @ SV282 )
= $false )
| ( ( ( sK47_SY230 @ SV174 @ SV160 )
= SV282 )
= $true )
| ( ( SV174 @ ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1659]) ).
thf(1678,plain,
! [SV252: $i,SV174: $i > $o,SV284: $i,SV160: $i > $o] :
( ( ( ~ ( SV160 @ SV284 ) )
= $true )
| ( ( ( sK47_SY230 @ SV174 @ SV160 )
= SV284 )
= $true )
| ( ( SV252
= ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1660]) ).
thf(1679,plain,
! [SV248: $i,SV61: $i > $o,SV278: $i,SV121: $i > $o] :
( ( ( SV121 @ SV278 )
= $false )
| ( ( SV121 @ ( sK56_SY258 @ SV278 @ SV121 @ SV61 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1661]) ).
thf(1680,plain,
! [SV248: $i,SV61: $i > $o,SV121: $i > $o,SV278: $i] :
( ( ( SV278
= ( sK56_SY258 @ SV278 @ SV121 @ SV61 ) )
= $false )
| ( ( ~ ( SV121 @ SV278 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1662]) ).
thf(1681,plain,
! [SV248: $i,SV61: $i > $o,SV280: $i,SV121: $i > $o] :
( ( ( SV121 @ ( sK56_SY258 @ SV280 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV121 @ SV280 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV248
= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1663]) ).
thf(1682,plain,
! [SV248: $i,SV61: $i > $o,SV121: $i > $o,SV280: $i] :
( ( ( SV280
!= ( sK56_SY258 @ SV280 @ SV121 @ SV61 ) )
= $true )
| ( ( ~ ( SV121 @ SV280 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV248
= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1664]) ).
thf(1683,plain,
! [SV228: $i,SV61: $i > $o,SV273: $i,SV121: $i > $o] :
( ( ( SV121 @ SV273 )
= $false )
| ( ( SV273
= ( sK56_SY258 @ SV273 @ SV121 @ SV61 ) )
= $false )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV228
= ( sK57_SY255 @ SV228 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV228 )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1667]) ).
thf(1684,plain,
! [SV75: $i,SV226: $i,SV238: $i] :
( ( ( in @ SV238 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
= $false )
| ( ( in @ SV226 @ ( sK14_SY615 @ SV238 @ SV226 @ SV75 ) )
= $false )
| ( ( SV226 = SV238 )
= $true )
| ( ( in @ SV226 @ SV75 )
= $false )
| ( ( in @ SV238 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1668]) ).
thf(1685,plain,
! [SV261: $i,SV159: $i > $o,SV285: $i,SV173: $i > $o] :
( ( ( ~ ( SV173 @ SV285 ) )
= $true )
| ( ( ( sK51_SY233 @ SV173 @ SV159 )
= SV285 )
= $true )
| ( ( SV159 @ ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1669]) ).
thf(1686,plain,
! [SV261: $i,SV159: $i > $o,SV287: $i,SV173: $i > $o] :
( ( ( ~ ( SV173 @ SV287 )
| ( ( sK51_SY233 @ SV173 @ SV159 )
= SV287 ) )
= $true )
| ( ( SV261
= ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1670]) ).
thf(1687,plain,
! [SV251: $i,SV159: $i > $o,SV283: $i,SV173: $i > $o] :
( ( ( SV173 @ SV283 )
= $false )
| ( ( ( sK51_SY233 @ SV173 @ SV159 )
= SV283 )
= $true )
| ( ( SV251
= ( sK52_SY231 @ SV251 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV251 )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1673]) ).
thf(1688,plain,
! [SV262: $i,SV174: $i > $o,SV286: $i,SV160: $i > $o] :
( ( ( ~ ( SV160 @ SV286 ) )
= $true )
| ( ( ( sK47_SY230 @ SV174 @ SV160 )
= SV286 )
= $true )
| ( ( SV174 @ ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1674]) ).
thf(1689,plain,
! [SV262: $i,SV174: $i > $o,SV288: $i,SV160: $i > $o] :
( ( ( ~ ( SV160 @ SV288 )
| ( ( sK47_SY230 @ SV174 @ SV160 )
= SV288 ) )
= $true )
| ( ( SV262
= ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1675]) ).
thf(1690,plain,
! [SV252: $i,SV174: $i > $o,SV284: $i,SV160: $i > $o] :
( ( ( SV160 @ SV284 )
= $false )
| ( ( ( sK47_SY230 @ SV174 @ SV160 )
= SV284 )
= $true )
| ( ( SV252
= ( sK48_SY234 @ SV252 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV252 )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $true )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1678]) ).
thf(1691,plain,
! [SV248: $i,SV61: $i > $o,SV278: $i,SV121: $i > $o] :
( ( ( SV121 @ SV278 )
= $false )
| ( ( SV278
= ( sK56_SY258 @ SV278 @ SV121 @ SV61 ) )
= $false )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV61 @ ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $true )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1680]) ).
thf(1692,plain,
! [SV248: $i,SV61: $i > $o,SV280: $i,SV121: $i > $o] :
( ( ( SV121 @ SV280 )
= $false )
| ( ( SV121 @ ( sK56_SY258 @ SV280 @ SV121 @ SV61 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV248
= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1681]) ).
thf(1693,plain,
! [SV248: $i,SV61: $i > $o,SV121: $i > $o,SV280: $i] :
( ( ( SV280
= ( sK56_SY258 @ SV280 @ SV121 @ SV61 ) )
= $false )
| ( ( ~ ( SV121 @ SV280 ) )
= $true )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV248
= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1682]) ).
thf(1694,plain,
! [SV261: $i,SV159: $i > $o,SV285: $i,SV173: $i > $o] :
( ( ( SV173 @ SV285 )
= $false )
| ( ( ( sK51_SY233 @ SV173 @ SV159 )
= SV285 )
= $true )
| ( ( SV159 @ ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $true )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1685]) ).
thf(1695,plain,
! [SV261: $i,SV159: $i > $o,SV287: $i,SV173: $i > $o] :
( ( ( ~ ( SV173 @ SV287 ) )
= $true )
| ( ( ( sK51_SY233 @ SV173 @ SV159 )
= SV287 )
= $true )
| ( ( SV261
= ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1686]) ).
thf(1696,plain,
! [SV262: $i,SV174: $i > $o,SV286: $i,SV160: $i > $o] :
( ( ( SV160 @ SV286 )
= $false )
| ( ( ( sK47_SY230 @ SV174 @ SV160 )
= SV286 )
= $true )
| ( ( SV174 @ ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $true )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1688]) ).
thf(1697,plain,
! [SV262: $i,SV174: $i > $o,SV288: $i,SV160: $i > $o] :
( ( ( ~ ( SV160 @ SV288 ) )
= $true )
| ( ( ( sK47_SY230 @ SV174 @ SV160 )
= SV288 )
= $true )
| ( ( SV262
= ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1689]) ).
thf(1698,plain,
! [SV248: $i,SV61: $i > $o,SV280: $i,SV121: $i > $o] :
( ( ( SV121 @ SV280 )
= $false )
| ( ( SV280
= ( sK56_SY258 @ SV280 @ SV121 @ SV61 ) )
= $false )
| ( ( ( descr
@ ^ [SY728: $i] : ( SV61 @ SY728 ) )
= ( descr
@ ^ [SY822: $i] : ( SV121 @ SY822 ) ) )
= $true )
| ( ( SV248
= ( sK57_SY255 @ SV248 @ SV121 @ SV61 ) )
= $false )
| ( ( SV61 @ SV248 )
= $false )
| ( ( SV61 @ ( sK58_Xx @ SV121 @ SV61 ) )
= $false )
| ( ( SV121 @ ( sK59_SY634 @ SV121 @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1693]) ).
thf(1699,plain,
! [SV261: $i,SV159: $i > $o,SV287: $i,SV173: $i > $o] :
( ( ( SV173 @ SV287 )
= $false )
| ( ( ( sK51_SY233 @ SV173 @ SV159 )
= SV287 )
= $true )
| ( ( SV261
= ( sK52_SY231 @ SV261 @ SV173 @ SV159 ) )
= $false )
| ( ( SV159 @ SV261 )
= $false )
| ( ( SV159 @ ( sK53_Xx @ SV173 @ SV159 ) )
= $false )
| ( ( SV173 @ ( sK54_SY633 @ SV173 @ SV159 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1695]) ).
thf(1700,plain,
! [SV262: $i,SV174: $i > $o,SV288: $i,SV160: $i > $o] :
( ( ( SV160 @ SV288 )
= $false )
| ( ( ( sK47_SY230 @ SV174 @ SV160 )
= SV288 )
= $true )
| ( ( SV262
= ( sK48_SY234 @ SV262 @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ SV262 )
= $false )
| ( ( SV160 @ ( sK49_Xx @ SV174 @ SV160 ) )
= $false )
| ( ( SV174 @ ( sK50_SY631 @ SV174 @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1697]) ).
thf(1701,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[186,1700,1699,1698,1696,1694,1692,1691,1690,1687,1684,1683,1679,1677,1676,1672,1671,1666,1665,1656,1650,1648,1643,1639,1633,1625,1624,1615,1611,1608,1604,1600,1599,1597,1596,1595,1594,1593,1592,1586,1579,1572,1565,1564,1559,1558,1557,1550,1549,1535,1534,1521,1512,1507,1500,1469,1462,1448,1414,1397,1391,1390,1389,1381,1367,1356,1355,1354,1353,1352,1351,1350,1345,1344,1343,1342,1339,1338,1337,1336,1328,1318,1302,1301,1300,1298,1289,1287,1284,1283,1280,1273,1247,1246,1235,1234,1233,1228,1223,1216,1215,1208,1180,1178,1176,1170,1160,1159,1146,1135,1124,1101,1100,1097,1093,1092,1085,1084,1071,1070,1053,1052,1051,1047,1046,1045,1039,1035,1034,1033,1032,1031,1030,1026,1022,1012,1011,1009,1008,1005,990,983,981,979,957,948,943,936,931,927,863,862,860,859,840,814,804,797,795,793,792,788,787,786,785,784,782,738,727,716,713,649,648,646,645,615,588,587,586,585,584,583,576,575,574,573,572,569,566,565,564,563,559,538,514,492,491,490,489,488,487,435,426,425,424,423,422,419,413,407,406,385,330,329,328,302,296,252,228,190]) ).
thf(1702,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1701]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU572^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.17 % Computer : n018.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Oct 6 15:30:37 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.52/3.60
% 19.52/3.60 No.of.Axioms: 0
% 19.52/3.60
% 19.52/3.60 Length.of.Defs: 18322
% 19.52/3.60
% 19.52/3.60 Contains.Choice.Funs: true
% 19.52/3.60 ................................................................
% 19.52/3.60
% 19.52/3.60 ********************************
% 19.52/3.60 * All subproblems solved! *
% 19.52/3.60 ********************************
% 19.52/3.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:88,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1701,loop_count:0,foatp_calls:1,translation:fof_full)
% 19.52/3.60
% 19.52/3.60 %**** Beginning of derivation protocol ****
% 19.52/3.60 % SZS output start CNFRefutation
% See solution above
% 3.51/3.60
% 3.51/3.60 %**** End of derivation protocol ****
% 3.51/3.60 %**** no. of clauses in derivation: 1702 ****
% 3.51/3.60 %**** clause counter: 1701 ****
% 3.51/3.60
% 3.51/3.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:88,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1701,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------