%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU562^1 : 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 : n014.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 10:45:07 AM UTC 2026
% Result : Theorem 12.71s 2.36s
% Output : CNFRefutation 12.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 82
% Syntax : Number of formulae : 1723 ( 561 unt; 0 typ; 81 def)
% Number of atoms : 14222 (6306 equ; 0 cnn)
% Maximal formula atoms : 81 ( 8 avg)
% Number of connectives : 32813 (5788 ~;5925 |; 255 &;20154 @)
% ( 42 <=>; 649 =>; 0 <=; 0 <~>)
% Maximal formula depth : 86 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1403 (1403 >; 0 *; 0 +; 0 <<)
% Number of symbols : 158 ( 155 usr; 85 con; 0-4 aty)
% Number of variables : 6340 ( 446 ^;5784 !; 110 ?;6340 :)
% 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_eqimpsubset1,type,
eqimpsubset1: $o ).
thf(tp_eqimpsubset2,type,
eqimpsubset2: $o ).
thf(tp_eqinunit,type,
eqinunit: $o ).
thf(tp_exu,type,
exu: ( $i > $o ) > $o ).
thf(tp_exuE1,type,
exuE1: $o ).
thf(tp_exuE2,type,
exuE2: $o ).
thf(tp_exuE3e,type,
exuE3e: $o ).
thf(tp_exuE3u,type,
exuE3u: $o ).
thf(tp_exuEu,type,
exuEu: $o ).
thf(tp_exuI1,type,
exuI1: $o ).
thf(tp_exuI2,type,
exuI2: $o ).
thf(tp_exuI3,type,
exuI3: $o ).
thf(tp_exu__Cong,type,
exu__Cong: $o ).
thf(tp_foundationAx,type,
foundationAx: $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_inCongP,type,
inCongP: $o ).
thf(tp_in__Cong,type,
in__Cong: $o ).
thf(tp_noeltsimpempty,type,
noeltsimpempty: $o ).
thf(tp_nonempty,type,
nonempty: $i > $o ).
thf(tp_nonemptyE1,type,
nonemptyE1: $o ).
thf(tp_nonemptyI,type,
nonemptyI: $o ).
thf(tp_nonemptyI1,type,
nonemptyI1: $o ).
thf(tp_nonemptyImpWitness,type,
nonemptyImpWitness: $o ).
thf(tp_notdallE,type,
notdallE: $o ).
thf(tp_notdexE,type,
notdexE: $o ).
thf(tp_notinemptyset,type,
notinemptyset: $o ).
thf(tp_notinsingleton,type,
notinsingleton: $o ).
thf(tp_omega,type,
omega: $i ).
thf(tp_omega0Ax,type,
omega0Ax: $o ).
thf(tp_omegaIndAx,type,
omegaIndAx: $o ).
thf(tp_omegaSAx,type,
omegaSAx: $o ).
thf(tp_omega__Cong,type,
omega__Cong: $o ).
thf(tp_powerset,type,
powerset: $i > $i ).
thf(tp_powersetAx,type,
powersetAx: $o ).
thf(tp_powersetE,type,
powersetE: $o ).
thf(tp_powersetI,type,
powersetI: $o ).
thf(tp_powerset__Cong,type,
powerset__Cong: $o ).
thf(tp_prop2set,type,
prop2set: $o > $i ).
thf(tp_prop2set2propI,type,
prop2set2propI: $o ).
thf(tp_prop2setE,type,
prop2setE: $o ).
thf(tp_prop2setI,type,
prop2setI: $o ).
thf(tp_quantDeMorgan1,type,
quantDeMorgan1: $o ).
thf(tp_quantDeMorgan2,type,
quantDeMorgan2: $o ).
thf(tp_quantDeMorgan3,type,
quantDeMorgan3: $o ).
thf(tp_quantDeMorgan4,type,
quantDeMorgan4: $o ).
thf(tp_replAx,type,
replAx: $o ).
thf(tp_sK10_SY25,type,
sK10_SY25: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK11_SY568,type,
sK11_SY568: $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_SY586,type,
sK14_SY586: $i > $i > $i > $i ).
thf(tp_sK15_SY573,type,
sK15_SY573: $i > $i > $i ).
thf(tp_sK16_SY587,type,
sK16_SY587: $i > $i > $i ).
thf(tp_sK17_Xx,type,
sK17_Xx: $i > $i > $i ).
thf(tp_sK18_SY58,type,
sK18_SY58: $i > ( $i > $o ) > $i ).
thf(tp_sK19_Xx,type,
sK19_Xx: ( $i > $o ) > $i ).
thf(tp_sK1_SY0,type,
sK1_SY0: $i ).
thf(tp_sK20_SY75,type,
sK20_SY75: $i > ( $i > $o ) > $i ).
thf(tp_sK21_Xx,type,
sK21_Xx: ( $i > $o ) > $i ).
thf(tp_sK22_SY87,type,
sK22_SY87: $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_SY558,type,
sK2_SY558: $i ).
thf(tp_sK30_Xx,type,
sK30_Xx: ( $i > $o ) > $i ).
thf(tp_sK31_SY143,type,
sK31_SY143: $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_SY199,type,
sK39_SY199: ( $i > $o ) > $i ).
thf(tp_sK3_SY562,type,
sK3_SY562: $i ).
thf(tp_sK40_Xy,type,
sK40_Xy: $i > ( $i > $o ) > $i ).
thf(tp_sK41_SY206,type,
sK41_SY206: ( $i > $o ) > $i ).
thf(tp_sK42_Xx,type,
sK42_Xx: ( $i > $o ) > $i ).
thf(tp_sK43_SY599,type,
sK43_SY599: ( $i > $o ) > $i ).
thf(tp_sK44_SY212,type,
sK44_SY212: ( $i > $o ) > $i ).
thf(tp_sK45_Xy,type,
sK45_Xy: $i > ( $i > $o ) > $i ).
thf(tp_sK46_SY225,type,
sK46_SY225: $i > ( $i > $o ) > $i ).
thf(tp_sK47_SY233,type,
sK47_SY233: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK48_SY237,type,
sK48_SY237: $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_SY602,type,
sK50_SY602: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK51_SY236,type,
sK51_SY236: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK52_SY234,type,
sK52_SY234: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK53_Xx,type,
sK53_Xx: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK54_SY604,type,
sK54_SY604: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK55_SY249,type,
sK55_SY249: $i > ( $i > $o ) > $i ).
thf(tp_sK56_SY261,type,
sK56_SY261: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK57_SY258,type,
sK57_SY258: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK58_Xx,type,
sK58_Xx: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK59_SY605,type,
sK59_SY605: ( $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_SY606,type,
sK61_SY606: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(tp_sK62_Xx,type,
sK62_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_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_subsetI1,type,
subsetI1: $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(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(notinemptyset,definition,
( notinemptyset
= ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinemptyset) ).
thf(notinsingleton,definition,
( notinsingleton
= ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
=> ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinsingleton) ).
thf(omega0Ax,definition,
( omega0Ax
= ( in @ emptyset @ omega ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega0Ax) ).
thf(omegaIndAx,definition,
( omegaIndAx
= ( ! [A: $i] :
( ( ( in @ emptyset @ A )
& ! [Xx: $i] :
( ( ( in @ Xx @ omega )
& ( in @ Xx @ A ) )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
=> ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ Xx @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaIndAx) ).
thf(omegaSAx,definition,
( omegaSAx
= ( ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaSAx) ).
thf(omega__Cong,definition,
( omega__Cong
= ( omega = omega ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega__Cong) ).
thf(powersetAx,definition,
( powersetAx
= ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
<=> ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetAx) ).
thf(powersetE,definition,
( powersetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetE) ).
thf(powersetI,definition,
( powersetI
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetI) ).
thf(powerset__Cong,definition,
( powerset__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( powerset @ A )
= ( powerset @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powerset__Cong) ).
thf(prop2set2propI,definition,
( prop2set2propI
= ( ! [Xphi: $o] :
( Xphi
=> ( set2prop @ ( prop2set @ Xphi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop2set2propI) ).
thf(prop2setE,definition,
( prop2setE
= ( ! [Xphi: $o,Xx: $i] :
( ( in @ Xx @ ( prop2set @ Xphi ) )
=> Xphi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop2setE) ).
thf(prop2setI,definition,
( prop2setI
= ( ! [Xphi: $o] :
( Xphi
=> ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop2setI) ).
thf(quantDeMorgan1,definition,
( quantDeMorgan1
= ( ! [A: $i,Xphi: $i > $o] :
( ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quantDeMorgan1) ).
thf(quantDeMorgan2,definition,
( quantDeMorgan2
= ( ! [A: $i,Xphi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) )
=> ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quantDeMorgan2) ).
thf(quantDeMorgan3,definition,
( quantDeMorgan3
= ( ! [A: $i,Xphi: $i > $o] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ~ ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quantDeMorgan3) ).
thf(quantDeMorgan4,definition,
( quantDeMorgan4
= ( ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ~ ( Xphi @ Xx ) )
=> ~ ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quantDeMorgan4) ).
thf(replAx,definition,
( replAx
= ( ! [Xphi: $i > $i > $o,A: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( exu
@ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
=> ? [B: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
<=> ? [Xy: $i] :
( ( in @ Xy @ A )
& ( Xphi @ Xy @ Xx ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',replAx) ).
thf(setadjoinAx,definition,
( setadjoinAx
= ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
<=> ( ( Xy = Xx )
| ( in @ Xy @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinAx) ).
thf(setadjoinE,definition,
( setadjoinE
= ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ! [Xphi: $o] :
( ( ( Xy = Xx )
=> Xphi )
=> ( ( ( in @ Xy @ A )
=> Xphi )
=> Xphi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinE) ).
thf(setadjoinIL,definition,
( setadjoinIL
= ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinIL) ).
thf(setadjoinIR,definition,
( setadjoinIR
= ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ A )
=> ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinIR) ).
thf(setadjoinOr,definition,
( setadjoinOr
= ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ( ( Xy = Xx )
| ( in @ Xy @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinOr) ).
thf(setadjoin__Cong,definition,
( setadjoin__Cong
= ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ! [Xz: $i,Xu: $i] :
( ( Xz = Xu )
=> ( ( setadjoin @ Xx @ Xz )
= ( setadjoin @ Xy @ Xu ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoin__Cong) ).
thf(setbeta,definition,
( setbeta
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setbeta) ).
thf(setext,definition,
( setext
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( A = B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setext) ).
thf(setextAx,definition,
( setextAx
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
<=> ( in @ Xx @ B ) )
=> ( A = B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setextAx) ).
thf(setoftrueEq,definition,
( setoftrueEq
= ( ! [A: $i] :
( ( dsetconstr @ A
@ ^ [Xx: $i] : $true )
= A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setoftrueEq) ).
thf(setunionAx,definition,
( setunionAx
= ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
<=> ? [B: $i] :
( ( in @ Xx @ B )
& ( in @ B @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionAx) ).
thf(setunionE,definition,
( setunionE
= ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ! [Xphi: $o] :
( ! [B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> Xphi ) )
=> Xphi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionE) ).
thf(setunionI,definition,
( setunionI
= ( ! [A: $i,Xx: $i,B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> ( in @ Xx @ ( setunion @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionI) ).
thf(setunion__Cong,definition,
( setunion__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( setunion @ A )
= ( setunion @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunion__Cong) ).
thf(singletonsswitch,definition,
( singletonsswitch
= ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singletonsswitch) ).
thf(subPowSU,definition,
( subPowSU
= ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subPowSU) ).
thf(subset,definition,
( subset
= ( ^ [A: $i,B: $i] :
! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
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(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
=> ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetI2) ).
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
=> ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ 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 ) ) )
=> ( ! [SY23: $i > $i > $o,SY24: $i] :
( ! [SY25: $i] :
( ( in @ SY25 @ SY24 )
=> ? [SY27: $i] :
( ( SY23 @ SY25 @ SY27 )
& ! [SY28: $i] :
( ( SY23 @ SY25 @ SY28 )
=> ( SY27 = SY28 ) ) ) )
=> ? [B: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
<=> ? [Xy: $i] :
( ( in @ Xy @ SY24 )
& ( SY23 @ 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 ) ) ) ) ) )
=> ( ! [SY55: $i > $o] :
( ? [SY57: $i] :
( ( SY55 @ SY57 )
& ! [SY58: $i] :
( ( SY55 @ SY58 )
=> ( SY57 = SY58 ) ) )
=> ( SY55
@ ( descr
@ ^ [Xx: $i] : ( SY55 @ 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 ) )
=> ( ! [SY72: $i > $o] :
( ? [SY74: $i] :
( ( SY72 @ SY74 )
& ! [SY75: $i] :
( ( SY72 @ SY75 )
=> ( SY74 = SY75 ) ) )
=> ? [Xx: $i] :
( ( SY72 @ Xx )
& ! [Xy: $i] :
( ( SY72 @ 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 )
=> ( ! [SY84: $i > $o] :
( ? [SY86: $i] :
( ( SY84 @ SY86 )
& ! [SY87: $i] :
( ( SY84 @ SY87 )
=> ( SY86 = SY87 ) ) )
=> ? [Xx: $i] : ( SY84 @ 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 ) ) )
=> ( ! [SY101: $i] :
( ( SY101 != emptyset )
=> ? [Xx: $i] : ( in @ Xx @ SY101 ) )
=> ( ! [SY103: $i,SY104: $i > $o,SY105: $i] :
( ( in @ SY105 @ SY103 )
=> ( ( SY104 @ SY105 )
=> ( ( dsetconstr @ SY103
@ ^ [Xy: $i] : ( SY104 @ Xy ) )
!= emptyset ) ) )
=> ( ! [SY107: $i] :
( ? [Xx: $i] : ( in @ Xx @ SY107 )
=> ( SY107 != 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 ) ) ) )
=> ( ! [SY140: $i > $o] :
( ? [SY142: $i] :
( ( SY140 @ SY142 )
& ! [SY143: $i] :
( ( SY140 @ SY143 )
=> ( SY142 = SY143 ) ) )
=> ? [Xx: $i] :
! [Xy: $i] :
( ( SY140 @ Xy )
<=> ( Xy = Xx ) ) )
=> ( ! [SY146: $i] :
( ( SY146 != emptyset )
=> ? [Xx: $i] :
( ( in @ Xx @ SY146 )
& $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 ) ) )
=> ( ! [SY195: $i > $o] :
( ? [Xx: $i] :
( ( SY195 @ Xx )
& ! [Xy: $i] :
( ( SY195 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY199: $i] :
( ( SY195 @ SY199 )
& ! [SY200: $i] :
( ( SY195 @ SY200 )
=> ( SY199 = SY200 ) ) ) )
=> ( ! [SY201: $i > $o] :
( ? [Xx: $i] : ( SY201 @ Xx )
=> ( ! [Xx: $i,Xy: $i] :
( ( SY201 @ Xx )
=> ( ( SY201 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY206: $i] :
( ( SY201 @ SY206 )
& ! [SY207: $i] :
( ( SY201 @ SY207 )
=> ( SY206 = SY207 ) ) ) ) )
=> ( ! [SY208: $i > $o] :
( ? [Xx: $i] :
! [Xy: $i] :
( ( SY208 @ Xy )
<=> ( Xy = Xx ) )
=> ? [SY212: $i] :
( ( SY208 @ SY212 )
& ! [SY213: $i] :
( ( SY208 @ SY213 )
=> ( SY212 = SY213 ) ) ) )
=> ( ! [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 ) ) ) )
=> ( ! [SY222: $i > $o] :
( ? [SY224: $i] :
( ( SY222 @ SY224 )
& ! [SY225: $i] :
( ( SY222 @ SY225 )
=> ( SY224 = SY225 ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( SY222 @ Xx )
=> ( ( SY222 @ Xy )
=> ( Xx = Xy ) ) ) )
=> ( ! [SY228: $i > $o,SY229: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( SY228 @ Xx )
<=> ( SY229 @ Xy ) ) )
=> ( ? [SY233: $i] :
( ( SY228 @ SY233 )
& ! [SY234: $i] :
( ( SY228 @ SY234 )
=> ( SY233 = SY234 ) ) )
<=> ? [SY236: $i] :
( ( SY229 @ SY236 )
& ! [SY237: $i] :
( ( SY229 @ SY237 )
=> ( SY236 = SY237 ) ) ) ) )
=> ( ( 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 )
=> ( ! [SY246: $i > $o] :
( ? [SY248: $i] :
( ( SY246 @ SY248 )
& ! [SY249: $i] :
( ( SY246 @ SY249 )
=> ( SY248 = SY249 ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( SY246 @ Xx )
=> ( ( SY246 @ Xy )
=> ( Xx = Xy ) ) ) )
=> ( ! [SY252: $i > $o,SY253: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( SY252 @ Xx )
<=> ( SY253 @ Xy ) ) )
=> ( ? [SY257: $i] :
( ( SY252 @ SY257 )
& ! [SY258: $i] :
( ( SY252 @ SY258 )
=> ( SY257 = SY258 ) ) )
=> ( ? [SY260: $i] :
( ( SY253 @ SY260 )
& ! [SY261: $i] :
( ( SY253 @ SY261 )
=> ( SY260 = SY261 ) ) )
=> ( ( descr
@ ^ [Xx: $i] : ( SY252 @ Xx ) )
= ( descr
@ ^ [Xx: $i] : ( SY253 @ 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 ) ) ) ) )
=> ( ! [SY272: $i,SY273: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ SY272 )
=> ( in @ Xx @ SY273 ) )
=> ! [SY277: $i] :
( ( in @ SY277 @ SY272 )
=> ( in @ SY277 @ SY273 ) ) )
=> ( ! [SY278: $i,SY279: $i] :
( ( SY278 = SY279 )
=> ! [SY282: $i] :
( ( in @ SY282 @ SY279 )
=> ( in @ SY282 @ SY278 ) ) )
=> ( ! [SY283: $i,SY284: $i] :
( ( SY283 = SY284 )
=> ! [SY287: $i] :
( ( in @ SY287 @ SY283 )
=> ( in @ SY287 @ SY284 ) ) )
=> ! [SY0: $i,SY1: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ SY0 )
=> ( in @ Xx @ SY1 ) )
=> ! [SY5: $i] :
( ( in @ SY5 @ SY0 )
=> ( in @ SY5 @ SY1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $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,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,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,
( ( ! [SY23: $i > $i > $o,SY24: $i] :
( ! [SY25: $i] :
( ( in @ SY25 @ SY24 )
=> ? [SY27: $i] :
( ( SY23 @ SY25 @ SY27 )
& ! [SY28: $i] :
( ( SY23 @ SY25 @ SY28 )
=> ( SY27 = SY28 ) ) ) )
=> ? [B: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
<=> ? [Xy: $i] :
( ( in @ Xy @ SY24 )
& ( SY23 @ 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,
( ( ! [SY55: $i > $o] :
( ? [SY57: $i] :
( ( SY55 @ SY57 )
& ! [SY58: $i] :
( ( SY55 @ SY58 )
=> ( SY57 = SY58 ) ) )
=> ( SY55
@ ( descr
@ ^ [Xx: $i] : ( SY55 @ 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,
( ( ! [SY72: $i > $o] :
( ? [SY74: $i] :
( ( SY72 @ SY74 )
& ! [SY75: $i] :
( ( SY72 @ SY75 )
=> ( SY74 = SY75 ) ) )
=> ? [Xx: $i] :
( ( SY72 @ Xx )
& ! [Xy: $i] :
( ( SY72 @ 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,
( ( ! [SY84: $i > $o] :
( ? [SY86: $i] :
( ( SY84 @ SY86 )
& ! [SY87: $i] :
( ( SY84 @ SY87 )
=> ( SY86 = SY87 ) ) )
=> ? [Xx: $i] : ( SY84 @ 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,
( ( ! [SY101: $i] :
( ( SY101 != emptyset )
=> ? [Xx: $i] : ( in @ Xx @ SY101 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(30,plain,
( ( ! [SY103: $i,SY104: $i > $o,SY105: $i] :
( ( in @ SY105 @ SY103 )
=> ( ( SY104 @ SY105 )
=> ( ( dsetconstr @ SY103
@ ^ [Xy: $i] : ( SY104 @ Xy ) )
!= emptyset ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(31,plain,
( ( ! [SY107: $i] :
( ? [Xx: $i] : ( in @ Xx @ SY107 )
=> ( SY107 != 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,
( ( ! [SY140: $i > $o] :
( ? [SY142: $i] :
( ( SY140 @ SY142 )
& ! [SY143: $i] :
( ( SY140 @ SY143 )
=> ( SY142 = SY143 ) ) )
=> ? [Xx: $i] :
! [Xy: $i] :
( ( SY140 @ Xy )
<=> ( Xy = Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(46,plain,
( ( ! [SY146: $i] :
( ( SY146 != emptyset )
=> ? [Xx: $i] :
( ( in @ Xx @ SY146 )
& $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,
( ( ! [SY195: $i > $o] :
( ? [Xx: $i] :
( ( SY195 @ Xx )
& ! [Xy: $i] :
( ( SY195 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY199: $i] :
( ( SY195 @ SY199 )
& ! [SY200: $i] :
( ( SY195 @ SY200 )
=> ( SY199 = SY200 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(65,plain,
( ( ! [SY201: $i > $o] :
( ? [Xx: $i] : ( SY201 @ Xx )
=> ( ! [Xx: $i,Xy: $i] :
( ( SY201 @ Xx )
=> ( ( SY201 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY206: $i] :
( ( SY201 @ SY206 )
& ! [SY207: $i] :
( ( SY201 @ SY207 )
=> ( SY206 = SY207 ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(66,plain,
( ( ! [SY208: $i > $o] :
( ? [Xx: $i] :
! [Xy: $i] :
( ( SY208 @ Xy )
<=> ( Xy = Xx ) )
=> ? [SY212: $i] :
( ( SY208 @ SY212 )
& ! [SY213: $i] :
( ( SY208 @ SY213 )
=> ( SY212 = SY213 ) ) ) ) )
= $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,
( ( ! [SY222: $i > $o] :
( ? [SY224: $i] :
( ( SY222 @ SY224 )
& ! [SY225: $i] :
( ( SY222 @ SY225 )
=> ( SY224 = SY225 ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( SY222 @ Xx )
=> ( ( SY222 @ Xy )
=> ( Xx = Xy ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(70,plain,
( ( ! [SY228: $i > $o,SY229: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( SY228 @ Xx )
<=> ( SY229 @ Xy ) ) )
=> ( ? [SY233: $i] :
( ( SY228 @ SY233 )
& ! [SY234: $i] :
( ( SY228 @ SY234 )
=> ( SY233 = SY234 ) ) )
<=> ? [SY236: $i] :
( ( SY229 @ SY236 )
& ! [SY237: $i] :
( ( SY229 @ SY237 )
=> ( SY236 = SY237 ) ) ) ) ) )
= $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,
( ( ! [SY246: $i > $o] :
( ? [SY248: $i] :
( ( SY246 @ SY248 )
& ! [SY249: $i] :
( ( SY246 @ SY249 )
=> ( SY248 = SY249 ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( SY246 @ Xx )
=> ( ( SY246 @ Xy )
=> ( Xx = Xy ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(77,plain,
( ( ! [SY252: $i > $o,SY253: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( SY252 @ Xx )
<=> ( SY253 @ Xy ) ) )
=> ( ? [SY257: $i] :
( ( SY252 @ SY257 )
& ! [SY258: $i] :
( ( SY252 @ SY258 )
=> ( SY257 = SY258 ) ) )
=> ( ? [SY260: $i] :
( ( SY253 @ SY260 )
& ! [SY261: $i] :
( ( SY253 @ SY261 )
=> ( SY260 = SY261 ) ) )
=> ( ( descr
@ ^ [Xx: $i] : ( SY252 @ Xx ) )
= ( descr
@ ^ [Xx: $i] : ( SY253 @ 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,
( ( ! [SY272: $i,SY273: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ SY272 )
=> ( in @ Xx @ SY273 ) )
=> ! [SY277: $i] :
( ( in @ SY277 @ SY272 )
=> ( in @ SY277 @ SY273 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(80,plain,
( ( ! [SY278: $i,SY279: $i] :
( ( SY278 = SY279 )
=> ! [SY282: $i] :
( ( in @ SY282 @ SY279 )
=> ( in @ SY282 @ SY278 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(81,plain,
( ( ! [SY283: $i,SY284: $i] :
( ( SY283 = SY284 )
=> ! [SY287: $i] :
( ( in @ SY287 @ SY283 )
=> ( in @ SY287 @ SY284 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(82,plain,
( ( ! [SY0: $i,SY1: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ SY0 )
=> ( in @ Xx @ SY1 ) )
=> ! [SY5: $i] :
( ( in @ SY5 @ SY0 )
=> ( in @ SY5 @ SY1 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(83,plain,
( ( ~ ! [SY0: $i,SY1: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ SY0 )
=> ( in @ Xx @ SY1 ) )
=> ! [SY5: $i] :
( ( in @ SY5 @ SY0 )
=> ( in @ SY5 @ SY1 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[82]) ).
thf(84,plain,
( ( ! [SY561: $i] :
( ~ ( in @ SY561 @ sK1_SY0 )
| ( in @ SY561 @ sK2_SY558 ) )
& ( in @ sK3_SY562 @ sK1_SY0 )
& ~ ( in @ sK3_SY562 @ sK2_SY558 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(85,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(86,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(87,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(88,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(89,plain,
( ( ! [Xx: $i] :
( ~ ( in @ Xx @ omega )
| ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(90,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(91,plain,
( ( ! [SY23: $i > $i > $o,SY24: $i] :
( ( ( in @ ( sK10_SY25 @ SY24 @ SY23 ) @ SY24 )
& ! [SY567: $i] :
( ( ( SY23 @ ( sK10_SY25 @ SY24 @ SY23 ) @ ( sK11_SY568 @ SY567 @ SY24 @ SY23 ) )
& ( SY567
!= ( sK11_SY568 @ SY567 @ SY24 @ SY23 ) ) )
| ~ ( SY23 @ ( sK10_SY25 @ SY24 @ SY23 ) @ SY567 ) ) )
| ( ! [SY563: $i] :
( ! [Xy: $i] :
( ~ ( SY23 @ Xy @ SY563 )
| ~ ( in @ Xy @ SY24 ) )
| ( in @ SY563 @ ( sK8_B @ SY24 @ SY23 ) ) )
& ! [SY565: $i] :
( ~ ( in @ SY565 @ ( sK8_B @ SY24 @ SY23 ) )
| ( ( SY23 @ ( sK9_Xy @ SY565 @ SY24 @ SY23 ) @ SY565 )
& ( in @ ( sK9_Xy @ SY565 @ SY24 @ SY23 ) @ SY24 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(92,plain,
( ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
| ( ( in @ ( sK12_B @ A ) @ A )
& ! [SY569: $i] :
( ~ ( in @ SY569 @ ( sK12_B @ A ) )
| ~ ( in @ SY569 @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(93,plain,
( ( ! [A: $i] :
( ! [SY570: $i] :
( ( ( in @ ( sK17_Xx @ SY570 @ A ) @ SY570 )
& ~ ( in @ ( sK17_Xx @ SY570 @ A ) @ A ) )
| ! [Xx: $i] :
~ ( in @ Xx @ SY570 )
| ( ! [SY591: $i] :
( ~ ( in @ SY591 @ ( sK13_B @ A ) )
| ! [SY589: $i] :
( ~ ( in @ SY589 @ SY591 )
| ( in @ SY589 @ ( sK15_SY573 @ SY570 @ A ) ) )
| ( in @ ( sK16_SY587 @ SY570 @ A ) @ SY591 ) )
& ( in @ ( sK15_SY573 @ SY570 @ A ) @ ( sK13_B @ A ) )
& ( in @ ( sK16_SY587 @ SY570 @ A ) @ SY570 )
& ! [SY590: $i] :
( ~ ( in @ SY590 @ ( sK15_SY573 @ SY570 @ A ) )
| ~ ( in @ SY590 @ SY570 ) ) ) )
& ! [SY578: $i,SY579: $i] :
( ~ ( in @ SY578 @ ( sK13_B @ A ) )
| ~ ( in @ SY579 @ ( sK13_B @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ SY578 )
| ( in @ Xx @ SY579 ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ SY579 )
| ( in @ Xx @ SY578 ) ) )
& ! [SY582: $i] :
( ~ ( in @ SY582 @ ( sK13_B @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ SY582 )
| ( in @ Xx @ A ) ) )
& ! [SY584: $i,SY585: $i] :
( ~ ( in @ SY584 @ A )
| ~ ( in @ SY585 @ A )
| ( ( in @ ( sK14_SY586 @ SY585 @ SY584 @ A ) @ ( sK13_B @ A ) )
& ( ~ ( in @ SY584 @ ( sK14_SY586 @ SY585 @ SY584 @ A ) )
| ~ ( in @ SY585 @ ( sK14_SY586 @ SY585 @ SY584 @ A ) ) )
& ( ( in @ SY584 @ ( sK14_SY586 @ SY585 @ SY584 @ A ) )
| ( in @ SY585 @ ( sK14_SY586 @ SY585 @ SY584 @ A ) ) ) )
| ( SY584 = SY585 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(94,plain,
( ( ! [SY55: $i > $o] :
( ! [SY57: $i] :
( ( ( SY55 @ ( sK18_SY58 @ SY57 @ SY55 ) )
& ( SY57
!= ( sK18_SY58 @ SY57 @ SY55 ) ) )
| ~ ( SY55 @ SY57 ) )
| ( SY55
@ ( descr
@ ^ [Xx: $i] : ( SY55 @ Xx ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(95,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(96,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(97,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(98,plain,
( ( ! [SY72: $i > $o] :
( ! [SY74: $i] :
( ( ( SY72 @ ( sK20_SY75 @ SY74 @ SY72 ) )
& ( SY74
!= ( sK20_SY75 @ SY74 @ SY72 ) ) )
| ~ ( SY72 @ SY74 ) )
| ( ! [SY594: $i] :
( ~ ( SY72 @ SY594 )
| ( ( sK19_Xx @ SY72 )
= SY594 ) )
& ( SY72 @ ( sK19_Xx @ SY72 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(99,plain,
( ( ! [Xphi: $o] :
( ! [Xx: $i] :
~ ( in @ Xx @ ( prop2set @ Xphi ) )
| Xphi ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(100,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset )
| ! [Xphi: $o] : Xphi )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(101,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(102,plain,
( ( ! [SY84: $i > $o] :
( ! [SY86: $i] :
( ( ( SY84 @ ( sK22_SY87 @ SY86 @ SY84 ) )
& ( SY86
!= ( sK22_SY87 @ SY86 @ SY84 ) ) )
| ~ ( SY84 @ SY86 ) )
| ( SY84 @ ( sK21_Xx @ SY84 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(103,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(104,plain,
( ( ! [A: $i] :
( ( in @ ( sK25_Xx @ A ) @ A )
| ( A = emptyset ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(105,plain,
( ( ! [A: $i] :
( ( in @ ( sK26_Xx @ A ) @ A )
| ( A = emptyset ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(106,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(107,plain,
( ( ! [SY101: $i] :
( ( SY101 = emptyset )
| ( in @ ( sK27_Xx @ SY101 ) @ SY101 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(108,plain,
( ( ! [SY103: $i,SY104: $i > $o,SY105: $i] :
( ~ ( in @ SY105 @ SY103 )
| ~ ( SY104 @ SY105 )
| ( ( dsetconstr @ SY103
@ ^ [Xy: $i] : ( SY104 @ Xy ) )
!= emptyset ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(109,plain,
( ( ! [SY107: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ SY107 )
| ( SY107 != emptyset ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(110,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ~ ( in @ Xy @ A )
| ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(111,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(112,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(113,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(114,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(115,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(116,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(117,plain,
( ( ! [A: $i,Xx: $i] :
( ~ ( in @ Xx @ A )
| ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(118,plain,
( ( ! [SY140: $i > $o] :
( ! [SY142: $i] :
( ( ( SY140 @ ( sK31_SY143 @ SY142 @ SY140 ) )
& ( SY142
!= ( sK31_SY143 @ SY142 @ SY140 ) ) )
| ~ ( SY140 @ SY142 ) )
| ( ! [SY595: $i] :
( ( SY595
!= ( sK30_Xx @ SY140 ) )
| ( SY140 @ SY595 ) )
& ! [SY596: $i] :
( ~ ( SY140 @ SY596 )
| ( SY596
= ( sK30_Xx @ SY140 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(119,plain,
( ( ! [SY146: $i] :
( ( SY146 = emptyset )
| ( in @ ( sK32_Xx @ SY146 ) @ SY146 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(120,plain,
( ( ! [Xx: $i,Xy: $i] :
( ~ ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
| ( Xx = Xy ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(121,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
| ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(122,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(123,plain,
( ( ! [Xx: $i,Xy: $i] :
( ~ ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
| ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(124,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(125,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(126,plain,
( ( ! [Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx @ emptyset )
| ( Xphi @ Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(127,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(128,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(129,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(130,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(131,plain,
( ( ! [Xphi: $o] :
( ~ Xphi
| ( in @ emptyset @ ( prop2set @ Xphi ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(132,plain,
( ( ! [Xphi: $o] :
( ~ Xphi
| ( set2prop @ ( prop2set @ Xphi ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(133,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(134,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(135,plain,
( ( ! [SY195: $i > $o] :
( ! [Xx: $i] :
( ( ( SY195 @ ( sK40_Xy @ Xx @ SY195 ) )
& ( Xx
!= ( sK40_Xy @ Xx @ SY195 ) ) )
| ~ ( SY195 @ Xx ) )
| ( ! [SY597: $i] :
( ~ ( SY195 @ SY597 )
| ( ( sK39_SY199 @ SY195 )
= SY597 ) )
& ( SY195 @ ( sK39_SY199 @ SY195 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(136,plain,
( ( ! [SY201: $i > $o] :
( ! [Xx: $i] :
~ ( SY201 @ Xx )
| ( ( SY201 @ ( sK42_Xx @ SY201 ) )
& ( SY201 @ ( sK43_SY599 @ SY201 ) )
& ( ( sK42_Xx @ SY201 )
!= ( sK43_SY599 @ SY201 ) ) )
| ( ! [SY598: $i] :
( ~ ( SY201 @ SY598 )
| ( ( sK41_SY206 @ SY201 )
= SY598 ) )
& ( SY201 @ ( sK41_SY206 @ SY201 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(137,plain,
( ( ! [SY208: $i > $o] :
( ! [Xx: $i] :
( ( ( ( sK45_Xy @ Xx @ SY208 )
!= Xx )
| ~ ( SY208 @ ( sK45_Xy @ Xx @ SY208 ) ) )
& ( ( ( sK45_Xy @ Xx @ SY208 )
= Xx )
| ( SY208 @ ( sK45_Xy @ Xx @ SY208 ) ) ) )
| ( ! [SY600: $i] :
( ~ ( SY208 @ SY600 )
| ( ( sK44_SY212 @ SY208 )
= SY600 ) )
& ( SY208 @ ( sK44_SY212 @ SY208 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(138,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(139,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(140,plain,
( ( ! [SY222: $i > $o] :
( ! [SY224: $i] :
( ( ( SY222 @ ( sK46_SY225 @ SY224 @ SY222 ) )
& ( SY224
!= ( sK46_SY225 @ SY224 @ SY222 ) ) )
| ~ ( SY222 @ SY224 ) )
| ! [Xx: $i] :
( ~ ( SY222 @ Xx )
| ! [Xy: $i] :
( ~ ( SY222 @ Xy )
| ( Xx = Xy ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(141,plain,
( ( ! [SY228: $i > $o,SY229: $i > $o] :
( ( ( ( sK53_Xx @ SY229 @ SY228 )
= ( sK54_SY604 @ SY229 @ SY228 ) )
& ( ~ ( SY228 @ ( sK53_Xx @ SY229 @ SY228 ) )
| ~ ( SY229 @ ( sK54_SY604 @ SY229 @ SY228 ) ) )
& ( ( SY228 @ ( sK53_Xx @ SY229 @ SY228 ) )
| ( SY229 @ ( sK54_SY604 @ SY229 @ SY228 ) ) ) )
| ! [SY233: $i] :
( ( ( SY228 @ ( sK52_SY234 @ SY233 @ SY229 @ SY228 ) )
& ( SY233
!= ( sK52_SY234 @ SY233 @ SY229 @ SY228 ) ) )
| ~ ( SY228 @ SY233 ) )
| ( ! [SY603: $i] :
( ~ ( SY229 @ SY603 )
| ( ( sK51_SY236 @ SY229 @ SY228 )
= SY603 ) )
& ( SY229 @ ( sK51_SY236 @ SY229 @ SY228 ) ) ) )
& ! [SY228: $i > $o,SY229: $i > $o] :
( ( ( ( sK49_Xx @ SY229 @ SY228 )
= ( sK50_SY602 @ SY229 @ SY228 ) )
& ( ~ ( SY228 @ ( sK49_Xx @ SY229 @ SY228 ) )
| ~ ( SY229 @ ( sK50_SY602 @ SY229 @ SY228 ) ) )
& ( ( SY228 @ ( sK49_Xx @ SY229 @ SY228 ) )
| ( SY229 @ ( sK50_SY602 @ SY229 @ SY228 ) ) ) )
| ! [SY236: $i] :
( ( ( SY229 @ ( sK48_SY237 @ SY236 @ SY229 @ SY228 ) )
& ( SY236
!= ( sK48_SY237 @ SY236 @ SY229 @ SY228 ) ) )
| ~ ( SY229 @ SY236 ) )
| ( ! [SY601: $i] :
( ~ ( SY228 @ SY601 )
| ( ( sK47_SY233 @ SY229 @ SY228 )
= SY601 ) )
& ( SY228 @ ( sK47_SY233 @ SY229 @ SY228 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(142,plain,
$true = $true,
inference(extcnf_combined,[status(esa)],[71]) ).
thf(143,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(144,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( ( powerset @ A )
= ( powerset @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(145,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( ( setunion @ A )
= ( setunion @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(146,plain,
$true = $true,
inference(extcnf_combined,[status(esa)],[75]) ).
thf(147,plain,
( ( ! [SY246: $i > $o] :
( ! [SY248: $i] :
( ( ( SY246 @ ( sK55_SY249 @ SY248 @ SY246 ) )
& ( SY248
!= ( sK55_SY249 @ SY248 @ SY246 ) ) )
| ~ ( SY246 @ SY248 ) )
| ! [Xx: $i] :
( ~ ( SY246 @ Xx )
| ! [Xy: $i] :
( ~ ( SY246 @ Xy )
| ( Xx = Xy ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(148,plain,
( ( ! [SY252: $i > $o,SY253: $i > $o] :
( ( ( ( sK58_Xx @ SY253 @ SY252 )
= ( sK59_SY605 @ SY253 @ SY252 ) )
& ( ~ ( SY252 @ ( sK58_Xx @ SY253 @ SY252 ) )
| ~ ( SY253 @ ( sK59_SY605 @ SY253 @ SY252 ) ) )
& ( ( SY252 @ ( sK58_Xx @ SY253 @ SY252 ) )
| ( SY253 @ ( sK59_SY605 @ SY253 @ SY252 ) ) ) )
| ! [SY257: $i] :
( ( ( SY252 @ ( sK57_SY258 @ SY257 @ SY253 @ SY252 ) )
& ( SY257
!= ( sK57_SY258 @ SY257 @ SY253 @ SY252 ) ) )
| ~ ( SY252 @ SY257 ) )
| ! [SY260: $i] :
( ( ( SY253 @ ( sK56_SY261 @ SY260 @ SY253 @ SY252 ) )
& ( SY260
!= ( sK56_SY261 @ SY260 @ SY253 @ SY252 ) ) )
| ~ ( SY253 @ SY260 ) )
| ( ( descr
@ ^ [Xx: $i] : ( SY252 @ Xx ) )
= ( descr
@ ^ [Xx: $i] : ( SY253 @ Xx ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(149,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ! [Xphi: $i > $o,Xpsi: $i > $o] :
( ( ( in @ ( sK60_Xx @ Xpsi @ Xphi @ B @ A ) @ A )
& ( in @ ( sK61_SY606 @ Xpsi @ Xphi @ B @ A ) @ B )
& ( ( sK60_Xx @ Xpsi @ Xphi @ B @ A )
= ( sK61_SY606 @ Xpsi @ Xphi @ B @ A ) )
& ( ~ ( Xphi @ ( sK60_Xx @ Xpsi @ Xphi @ B @ A ) )
| ~ ( Xpsi @ ( sK61_SY606 @ Xpsi @ Xphi @ B @ A ) ) )
& ( ( Xphi @ ( sK60_Xx @ Xpsi @ Xphi @ B @ A ) )
| ( Xpsi @ ( sK61_SY606 @ Xpsi @ Xphi @ B @ A ) ) ) )
| ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= ( dsetconstr @ B
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(150,plain,
( ( ! [SY272: $i,SY273: $i] :
( ( ( in @ ( sK62_Xx @ SY273 @ SY272 ) @ SY272 )
& ~ ( in @ ( sK62_Xx @ SY273 @ SY272 ) @ SY273 ) )
| ! [SY277: $i] :
( ~ ( in @ SY277 @ SY272 )
| ( in @ SY277 @ SY273 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(151,plain,
( ( ! [SY278: $i,SY279: $i] :
( ( SY278 != SY279 )
| ! [SY282: $i] :
( ~ ( in @ SY282 @ SY279 )
| ( in @ SY282 @ SY278 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[80]) ).
thf(152,plain,
( ( ! [SY283: $i,SY284: $i] :
( ( SY283 != SY284 )
| ! [SY287: $i] :
( ~ ( in @ SY287 @ SY283 )
| ( in @ SY287 @ SY284 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(153,plain,
( ( ! [SY283: $i,SY284: $i] :
( ( SY283 != SY284 )
| ! [SY287: $i] :
( ~ ( in @ SY287 @ SY283 )
| ( in @ SY287 @ SY284 ) ) ) )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(154,plain,
( ( ! [SY278: $i,SY279: $i] :
( ( SY278 != SY279 )
| ! [SY282: $i] :
( ~ ( in @ SY282 @ SY279 )
| ( in @ SY282 @ SY278 ) ) ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(155,plain,
( ( ! [SY272: $i,SY273: $i] :
( ( ( in @ ( sK62_Xx @ SY273 @ SY272 ) @ SY272 )
& ~ ( in @ ( sK62_Xx @ SY273 @ SY272 ) @ SY273 ) )
| ! [SY277: $i] :
( ~ ( in @ SY277 @ SY272 )
| ( in @ SY277 @ SY273 ) ) ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(156,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ! [Xphi: $i > $o,Xpsi: $i > $o] :
( ( ( in @ ( sK60_Xx @ Xpsi @ Xphi @ B @ A ) @ A )
& ( in @ ( sK61_SY606 @ Xpsi @ Xphi @ B @ A ) @ B )
& ( ( sK60_Xx @ Xpsi @ Xphi @ B @ A )
= ( sK61_SY606 @ Xpsi @ Xphi @ B @ A ) )
& ( ~ ( Xphi @ ( sK60_Xx @ Xpsi @ Xphi @ B @ A ) )
| ~ ( Xpsi @ ( sK61_SY606 @ Xpsi @ Xphi @ B @ A ) ) )
& ( ( Xphi @ ( sK60_Xx @ Xpsi @ Xphi @ B @ A ) )
| ( Xpsi @ ( sK61_SY606 @ Xpsi @ Xphi @ B @ A ) ) ) )
| ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= ( dsetconstr @ B
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(157,plain,
( ( ! [SY252: $i > $o,SY253: $i > $o] :
( ( ( ( sK58_Xx @ SY253 @ SY252 )
= ( sK59_SY605 @ SY253 @ SY252 ) )
& ( ~ ( SY252 @ ( sK58_Xx @ SY253 @ SY252 ) )
| ~ ( SY253 @ ( sK59_SY605 @ SY253 @ SY252 ) ) )
& ( ( SY252 @ ( sK58_Xx @ SY253 @ SY252 ) )
| ( SY253 @ ( sK59_SY605 @ SY253 @ SY252 ) ) ) )
| ! [SY257: $i] :
( ( ( SY252 @ ( sK57_SY258 @ SY257 @ SY253 @ SY252 ) )
& ( SY257
!= ( sK57_SY258 @ SY257 @ SY253 @ SY252 ) ) )
| ~ ( SY252 @ SY257 ) )
| ! [SY260: $i] :
( ( ( SY253 @ ( sK56_SY261 @ SY260 @ SY253 @ SY252 ) )
& ( SY260
!= ( sK56_SY261 @ SY260 @ SY253 @ SY252 ) ) )
| ~ ( SY253 @ SY260 ) )
| ( ( descr
@ ^ [Xx: $i] : ( SY252 @ Xx ) )
= ( descr
@ ^ [Xx: $i] : ( SY253 @ Xx ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(158,plain,
( ( ! [SY246: $i > $o] :
( ! [SY248: $i] :
( ( ( SY246 @ ( sK55_SY249 @ SY248 @ SY246 ) )
& ( SY248
!= ( sK55_SY249 @ SY248 @ SY246 ) ) )
| ~ ( SY246 @ SY248 ) )
| ! [Xx: $i] :
( ~ ( SY246 @ Xx )
| ! [Xy: $i] :
( ~ ( SY246 @ Xy )
| ( Xx = Xy ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(159,plain,
$true = $true,
inference(copy,[status(thm)],[146]) ).
thf(160,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( ( setunion @ A )
= ( setunion @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(161,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( ( powerset @ A )
= ( powerset @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(162,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ! [Xz: $i,Xu: $i] :
( ( Xz != Xu )
| ( ( setadjoin @ Xx @ Xz )
= ( setadjoin @ Xy @ Xu ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(163,plain,
$true = $true,
inference(copy,[status(thm)],[142]) ).
thf(164,plain,
( ( ! [SY228: $i > $o,SY229: $i > $o] :
( ( ( ( sK53_Xx @ SY229 @ SY228 )
= ( sK54_SY604 @ SY229 @ SY228 ) )
& ( ~ ( SY228 @ ( sK53_Xx @ SY229 @ SY228 ) )
| ~ ( SY229 @ ( sK54_SY604 @ SY229 @ SY228 ) ) )
& ( ( SY228 @ ( sK53_Xx @ SY229 @ SY228 ) )
| ( SY229 @ ( sK54_SY604 @ SY229 @ SY228 ) ) ) )
| ! [SY233: $i] :
( ( ( SY228 @ ( sK52_SY234 @ SY233 @ SY229 @ SY228 ) )
& ( SY233
!= ( sK52_SY234 @ SY233 @ SY229 @ SY228 ) ) )
| ~ ( SY228 @ SY233 ) )
| ( ! [SY603: $i] :
( ~ ( SY229 @ SY603 )
| ( ( sK51_SY236 @ SY229 @ SY228 )
= SY603 ) )
& ( SY229 @ ( sK51_SY236 @ SY229 @ SY228 ) ) ) )
& ! [SY228: $i > $o,SY229: $i > $o] :
( ( ( ( sK49_Xx @ SY229 @ SY228 )
= ( sK50_SY602 @ SY229 @ SY228 ) )
& ( ~ ( SY228 @ ( sK49_Xx @ SY229 @ SY228 ) )
| ~ ( SY229 @ ( sK50_SY602 @ SY229 @ SY228 ) ) )
& ( ( SY228 @ ( sK49_Xx @ SY229 @ SY228 ) )
| ( SY229 @ ( sK50_SY602 @ SY229 @ SY228 ) ) ) )
| ! [SY236: $i] :
( ( ( SY229 @ ( sK48_SY237 @ SY236 @ SY229 @ SY228 ) )
& ( SY236
!= ( sK48_SY237 @ SY236 @ SY229 @ SY228 ) ) )
| ~ ( SY229 @ SY236 ) )
| ( ! [SY601: $i] :
( ~ ( SY228 @ SY601 )
| ( ( sK47_SY233 @ SY229 @ SY228 )
= SY601 ) )
& ( SY228 @ ( sK47_SY233 @ SY229 @ SY228 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(165,plain,
( ( ! [SY222: $i > $o] :
( ! [SY224: $i] :
( ( ( SY222 @ ( sK46_SY225 @ SY224 @ SY222 ) )
& ( SY224
!= ( sK46_SY225 @ SY224 @ SY222 ) ) )
| ~ ( SY222 @ SY224 ) )
| ! [Xx: $i] :
( ~ ( SY222 @ Xx )
| ! [Xy: $i] :
( ~ ( SY222 @ Xy )
| ( Xx = Xy ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(166,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)],[139]) ).
thf(167,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ~ ( in @ Xx @ A )
| ( in @ Xy @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(168,plain,
( ( ! [SY208: $i > $o] :
( ! [Xx: $i] :
( ( ( ( sK45_Xy @ Xx @ SY208 )
!= Xx )
| ~ ( SY208 @ ( sK45_Xy @ Xx @ SY208 ) ) )
& ( ( ( sK45_Xy @ Xx @ SY208 )
= Xx )
| ( SY208 @ ( sK45_Xy @ Xx @ SY208 ) ) ) )
| ( ! [SY600: $i] :
( ~ ( SY208 @ SY600 )
| ( ( sK44_SY212 @ SY208 )
= SY600 ) )
& ( SY208 @ ( sK44_SY212 @ SY208 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(169,plain,
( ( ! [SY201: $i > $o] :
( ! [Xx: $i] :
~ ( SY201 @ Xx )
| ( ( SY201 @ ( sK42_Xx @ SY201 ) )
& ( SY201 @ ( sK43_SY599 @ SY201 ) )
& ( ( sK42_Xx @ SY201 )
!= ( sK43_SY599 @ SY201 ) ) )
| ( ! [SY598: $i] :
( ~ ( SY201 @ SY598 )
| ( ( sK41_SY206 @ SY201 )
= SY598 ) )
& ( SY201 @ ( sK41_SY206 @ SY201 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(170,plain,
( ( ! [SY195: $i > $o] :
( ! [Xx: $i] :
( ( ( SY195 @ ( sK40_Xy @ Xx @ SY195 ) )
& ( Xx
!= ( sK40_Xy @ Xx @ SY195 ) ) )
| ~ ( SY195 @ Xx ) )
| ( ! [SY597: $i] :
( ~ ( SY195 @ SY597 )
| ( ( sK39_SY199 @ SY195 )
= SY597 ) )
& ( SY195 @ ( sK39_SY199 @ SY195 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(171,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)],[134]) ).
thf(172,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)],[133]) ).
thf(173,plain,
( ( ! [Xphi: $o] :
( ~ Xphi
| ( set2prop @ ( prop2set @ Xphi ) ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(174,plain,
( ( ! [Xphi: $o] :
( ~ Xphi
| ( in @ emptyset @ ( prop2set @ Xphi ) ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(175,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)],[130]) ).
thf(176,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)],[129]) ).
thf(177,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)],[128]) ).
thf(178,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)],[127]) ).
thf(179,plain,
( ( ! [Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx @ emptyset )
| ( Xphi @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(180,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)],[125]) ).
thf(181,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(182,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(183,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ~ ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
| ( Xz = Xx )
| ( Xz = Xy ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(184,plain,
( ( ! [Xx: $i,Xy: $i] :
( ~ ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
| ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(185,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(186,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
| ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(187,plain,
( ( ! [Xx: $i,Xy: $i] :
( ~ ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
| ( Xx = Xy ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(188,plain,
( ( ! [SY146: $i] :
( ( SY146 = emptyset )
| ( in @ ( sK32_Xx @ SY146 ) @ SY146 ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(189,plain,
( ( ! [SY140: $i > $o] :
( ! [SY142: $i] :
( ( ( SY140 @ ( sK31_SY143 @ SY142 @ SY140 ) )
& ( SY142
!= ( sK31_SY143 @ SY142 @ SY140 ) ) )
| ~ ( SY140 @ SY142 ) )
| ( ! [SY595: $i] :
( ( SY595
!= ( sK30_Xx @ SY140 ) )
| ( SY140 @ SY595 ) )
& ! [SY596: $i] :
( ~ ( SY140 @ SY596 )
| ( SY596
= ( sK30_Xx @ SY140 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(190,plain,
( ( ! [A: $i,Xx: $i] :
( ~ ( in @ Xx @ A )
| ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(191,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)],[116]) ).
thf(192,plain,
( ( ! [A: $i,Xx: $i,B: $i] :
( ~ ( in @ Xx @ B )
| ~ ( in @ B @ A )
| ( in @ Xx @ ( setunion @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(193,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ B @ ( powerset @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ B )
| ( in @ Xx @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(194,plain,
( ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(195,plain,
( ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(196,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)],[113]) ).
thf(197,plain,
( ( ! [A: $i] :
( ( dsetconstr @ A
@ ^ [Xx: $i] : $true )
= A ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(198,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ~ ( in @ Xy @ ( setadjoin @ Xx @ A ) )
| ( Xy = Xx )
| ( in @ Xy @ A ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(199,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)],[111]) ).
thf(200,plain,
( ( ! [Xx: $i,A: $i,Xy: $i] :
( ~ ( in @ Xy @ A )
| ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(201,plain,
( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(202,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(203,plain,
( ( ! [SY107: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ SY107 )
| ( SY107 != emptyset ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(204,plain,
( ( ! [SY103: $i,SY104: $i > $o,SY105: $i] :
( ~ ( in @ SY105 @ SY103 )
| ~ ( SY104 @ SY105 )
| ( ( dsetconstr @ SY103
@ ^ [Xy: $i] : ( SY104 @ Xy ) )
!= emptyset ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(205,plain,
( ( ! [SY101: $i] :
( ( SY101 = emptyset )
| ( in @ ( sK27_Xx @ SY101 ) @ SY101 ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(206,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)],[106]) ).
thf(207,plain,
( ( ! [A: $i] :
( ( in @ ( sK26_Xx @ A ) @ A )
| ( A = emptyset ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(208,plain,
( ( ! [A: $i] :
( ( in @ ( sK25_Xx @ A ) @ A )
| ( A = emptyset ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(209,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)],[103]) ).
thf(210,plain,
( ( ! [SY84: $i > $o] :
( ! [SY86: $i] :
( ( ( SY84 @ ( sK22_SY87 @ SY86 @ SY84 ) )
& ( SY86
!= ( sK22_SY87 @ SY86 @ SY84 ) ) )
| ~ ( SY84 @ SY86 ) )
| ( SY84 @ ( sK21_Xx @ SY84 ) ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(211,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(212,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(213,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset )
| ! [Xphi: $o] : Xphi )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(214,plain,
( ( ! [Xphi: $o] :
( ! [Xx: $i] :
~ ( in @ Xx @ ( prop2set @ Xphi ) )
| Xphi ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(215,plain,
( ( ! [SY72: $i > $o] :
( ! [SY74: $i] :
( ( ( SY72 @ ( sK20_SY75 @ SY74 @ SY72 ) )
& ( SY74
!= ( sK20_SY75 @ SY74 @ SY72 ) ) )
| ~ ( SY72 @ SY74 ) )
| ( ! [SY594: $i] :
( ~ ( SY72 @ SY594 )
| ( ( sK19_Xx @ SY72 )
= SY594 ) )
& ( SY72 @ ( sK19_Xx @ SY72 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(216,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
| ( Xphi @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(217,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
| ( in @ Xx @ A ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(218,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)],[95]) ).
thf(219,plain,
( ( ! [SY55: $i > $o] :
( ! [SY57: $i] :
( ( ( SY55 @ ( sK18_SY58 @ SY57 @ SY55 ) )
& ( SY57
!= ( sK18_SY58 @ SY57 @ SY55 ) ) )
| ~ ( SY55 @ SY57 ) )
| ( SY55
@ ( descr
@ ^ [Xx: $i] : ( SY55 @ Xx ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(220,plain,
( ( ! [A: $i] :
( ! [SY570: $i] :
( ( ( in @ ( sK17_Xx @ SY570 @ A ) @ SY570 )
& ~ ( in @ ( sK17_Xx @ SY570 @ A ) @ A ) )
| ! [Xx: $i] :
~ ( in @ Xx @ SY570 )
| ( ! [SY591: $i] :
( ~ ( in @ SY591 @ ( sK13_B @ A ) )
| ! [SY589: $i] :
( ~ ( in @ SY589 @ SY591 )
| ( in @ SY589 @ ( sK15_SY573 @ SY570 @ A ) ) )
| ( in @ ( sK16_SY587 @ SY570 @ A ) @ SY591 ) )
& ( in @ ( sK15_SY573 @ SY570 @ A ) @ ( sK13_B @ A ) )
& ( in @ ( sK16_SY587 @ SY570 @ A ) @ SY570 )
& ! [SY590: $i] :
( ~ ( in @ SY590 @ ( sK15_SY573 @ SY570 @ A ) )
| ~ ( in @ SY590 @ SY570 ) ) ) )
& ! [SY578: $i,SY579: $i] :
( ~ ( in @ SY578 @ ( sK13_B @ A ) )
| ~ ( in @ SY579 @ ( sK13_B @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ SY578 )
| ( in @ Xx @ SY579 ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ SY579 )
| ( in @ Xx @ SY578 ) ) )
& ! [SY582: $i] :
( ~ ( in @ SY582 @ ( sK13_B @ A ) )
| ! [Xx: $i] :
( ~ ( in @ Xx @ SY582 )
| ( in @ Xx @ A ) ) )
& ! [SY584: $i,SY585: $i] :
( ~ ( in @ SY584 @ A )
| ~ ( in @ SY585 @ A )
| ( ( in @ ( sK14_SY586 @ SY585 @ SY584 @ A ) @ ( sK13_B @ A ) )
& ( ~ ( in @ SY584 @ ( sK14_SY586 @ SY585 @ SY584 @ A ) )
| ~ ( in @ SY585 @ ( sK14_SY586 @ SY585 @ SY584 @ A ) ) )
& ( ( in @ SY584 @ ( sK14_SY586 @ SY585 @ SY584 @ A ) )
| ( in @ SY585 @ ( sK14_SY586 @ SY585 @ SY584 @ A ) ) ) )
| ( SY584 = SY585 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(221,plain,
( ( ! [A: $i] :
( ! [Xx: $i] :
~ ( in @ Xx @ A )
| ( ( in @ ( sK12_B @ A ) @ A )
& ! [SY569: $i] :
( ~ ( in @ SY569 @ ( sK12_B @ A ) )
| ~ ( in @ SY569 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(222,plain,
( ( ! [SY23: $i > $i > $o,SY24: $i] :
( ( ( in @ ( sK10_SY25 @ SY24 @ SY23 ) @ SY24 )
& ! [SY567: $i] :
( ( ( SY23 @ ( sK10_SY25 @ SY24 @ SY23 ) @ ( sK11_SY568 @ SY567 @ SY24 @ SY23 ) )
& ( SY567
!= ( sK11_SY568 @ SY567 @ SY24 @ SY23 ) ) )
| ~ ( SY23 @ ( sK10_SY25 @ SY24 @ SY23 ) @ SY567 ) ) )
| ( ! [SY563: $i] :
( ! [Xy: $i] :
( ~ ( SY23 @ Xy @ SY563 )
| ~ ( in @ Xy @ SY24 ) )
| ( in @ SY563 @ ( sK8_B @ SY24 @ SY23 ) ) )
& ! [SY565: $i] :
( ~ ( in @ SY565 @ ( sK8_B @ SY24 @ SY23 ) )
| ( ( SY23 @ ( sK9_Xy @ SY565 @ SY24 @ SY23 ) @ SY565 )
& ( in @ ( sK9_Xy @ SY565 @ SY24 @ SY23 ) @ SY24 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(223,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)],[90]) ).
thf(224,plain,
( ( ! [Xx: $i] :
( ~ ( in @ Xx @ omega )
| ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(225,plain,
( ( in @ emptyset @ omega )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(226,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)],[88]) ).
thf(227,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)],[87]) ).
thf(228,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)],[86]) ).
thf(229,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(230,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)],[85]) ).
thf(231,plain,
( ( ! [SY561: $i] :
( ~ ( in @ SY561 @ sK1_SY0 )
| ( in @ SY561 @ sK2_SY558 ) )
& ( in @ sK3_SY562 @ sK1_SY0 )
& ~ ( in @ sK3_SY562 @ sK2_SY558 ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(232,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)],[177,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(233,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)],[230,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(234,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)],[191,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(235,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)],[178,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(236,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK40_Xy @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK40_Xy @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX1 ) )
| ~ ( ~ ! [SX1: $i] :
( ~ ( SX0 @ SX1 )
| ( ( sK39_SY199 @ SX0 )
= SX1 ) )
| ~ ( SX0 @ ( sK39_SY199 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(237,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK55_SY249 @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK55_SY249 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(238,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK62_Xx @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK62_Xx @ SX1 @ SX0 ) @ SX1 ) )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(239,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)],[223,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(240,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)],[196,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(241,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK46_SY225 @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK46_SY225 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( SX1 = SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(242,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK22_SY87 @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK22_SY87 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX1 ) )
| ( SX0 @ ( sK21_Xx @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(243,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_SY573 @ SX1 @ SX0 ) ) )
| ( in @ ( sK16_SY587 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SX1 @ SX0 ) @ ( sK13_B @ SX0 ) )
| ~ ( in @ ( sK16_SY587 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ ( sK15_SY573 @ 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_SY586 @ SX2 @ SX1 @ SX0 ) @ ( sK13_B @ SX0 ) )
| ~ ~ ( ~ ( ~ ( in @ SX1 @ ( sK14_SY586 @ SX2 @ SX1 @ SX0 ) )
| ~ ( in @ SX2 @ ( sK14_SY586 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( in @ SX1 @ ( sK14_SY586 @ SX2 @ SX1 @ SX0 ) )
| ( in @ SX2 @ ( sK14_SY586 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ( SX1 = SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[220,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(244,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ! [SX2: $i > $o,SX3: $i > $o] :
( ~ ( ~ ( in @ ( sK60_Xx @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( ~ ( in @ ( sK61_SY606 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( ( ( sK60_Xx @ SX3 @ SX2 @ SX1 @ SX0 )
!= ( sK61_SY606 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX2 @ ( sK60_Xx @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( SX3 @ ( sK61_SY606 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX2 @ ( sK60_Xx @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( SX3 @ ( sK61_SY606 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
| ( ( dsetconstr @ SX0
@ ^ [SX4: $i] : ( SX2 @ SX4 ) )
= ( dsetconstr @ SX1
@ ^ [SX4: $i] : ( SX3 @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(245,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)],[209,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(246,plain,
( ( ~ ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK53_Xx @ SX1 @ SX0 )
!= ( sK54_SY604 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK54_SY604 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK54_SY604 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX0 @ ( sK52_SY234 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK52_SY234 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( ( sK51_SY236 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX1 @ ( sK51_SY236 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK49_Xx @ SX1 @ SX0 )
!= ( sK50_SY602 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK50_SY602 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK50_SY602 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX1 @ ( sK48_SY237 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK48_SY237 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( ( sK47_SY233 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX0 @ ( sK47_SY233 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(247,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)],[206,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(248,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)],[166,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(249,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)],[175,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(250,plain,
( ( ! [SX0: $i > $i > $o,SX1: $i] :
( ~ ( ~ ( in @ ( sK10_SY25 @ SX1 @ SX0 ) @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( ~ ( SX0 @ ( sK10_SY25 @ SX1 @ SX0 ) @ ( sK11_SY568 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK11_SY568 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ ( sK10_SY25 @ 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)],[222,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(251,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK20_SY75 @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK20_SY75 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX1 ) )
| ~ ( ~ ! [SX1: $i] :
( ~ ( SX0 @ SX1 )
| ( ( sK19_Xx @ SX0 )
= SX1 ) )
| ~ ( SX0 @ ( sK19_Xx @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[215,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(252,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
~ ( SX0 @ SX1 )
| ~ ( ~ ( SX0 @ ( sK42_Xx @ SX0 ) )
| ~ ~ ( ~ ( SX0 @ ( sK43_SY599 @ SX0 ) )
| ~ ( ( ( sK42_Xx @ SX0 )
!= ( sK43_SY599 @ SX0 ) ) ) ) )
| ~ ( ~ ! [SX1: $i] :
( ~ ( SX0 @ SX1 )
| ( ( sK41_SY206 @ SX0 )
= SX1 ) )
| ~ ( SX0 @ ( sK41_SY206 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(253,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)],[171,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(254,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK58_Xx @ SX1 @ SX0 )
!= ( sK59_SY605 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK58_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK59_SY605 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK58_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK59_SY605 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX0 @ ( sK57_SY258 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK57_SY258 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX1 @ ( sK56_SY261 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK56_SY261 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ SX2 ) )
| ( ( descr
@ ^ [SX2: $i] : ( SX0 @ SX2 ) )
= ( descr
@ ^ [SX2: $i] : ( SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(255,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)],[199,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(256,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)],[226,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(257,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)],[228,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(258,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)],[172,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(259,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)],[227,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(260,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)],[176,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(261,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_SY0 )
| ( in @ SX0 @ sK2_SY558 ) )
| ~ ~ ( ~ ( in @ sK3_SY562 @ sK1_SY0 )
| ~ ~ ( in @ sK3_SY562 @ sK2_SY558 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[231,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(262,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_SY212 @ SX0 )
= SX1 ) )
| ~ ( SX0 @ ( sK44_SY212 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(263,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)],[221,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(264,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK31_SY143 @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK31_SY143 @ 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)],[189,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(265,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK18_SY58 @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK18_SY58 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX1 ) )
| ( SX0
@ ( descr
@ ^ [SX1: $i] : ( SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[219,descr__Cong,descrp,dsetconstrEL,dsetconstrER,dsetconstrI,dsetconstr__Cong,emptyE1,emptyI,emptyInPowerset,emptyinPowerset,emptyinunitempty,emptysetAx,emptysetE,emptyset__Cong,emptysetimpfalse,eqimpsubset1,eqimpsubset2,eqinunit,exu,exuE1,exuE2,exuE3e,exuE3u,exuEu,exuI1,exuI2,exuI3,exu__Cong,foundationAx,inCongP,in__Cong,noeltsimpempty,nonempty,nonemptyE1,nonemptyI,nonemptyI1,nonemptyImpWitness,notdallE,notdexE,notinemptyset,notinsingleton,omega0Ax,omegaIndAx,omegaSAx,omega__Cong,powersetAx,powersetE,powersetI,powerset__Cong,prop2set2propI,prop2setE,prop2setI,quantDeMorgan1,quantDeMorgan2,quantDeMorgan3,quantDeMorgan4,replAx,setadjoinAx,setadjoinE,setadjoinIL,setadjoinIR,setadjoinOr,setadjoin__Cong,setbeta,setext,setextAx,setoftrueEq,setunionAx,setunionE,setunionI,setunion__Cong,singletonsswitch,subPowSU,subset,subsetI1,uniqinunit,upairsetE,upairsetIL,upairsetIR,vacuousDall,wellorderingAx]) ).
thf(266,plain,
! [SV1: $i] :
( ( ! [SY607: $i] :
( ( SV1 != SY607 )
| ! [SY608: $i] :
( ~ ( in @ SY608 @ SV1 )
| ( in @ SY608 @ SY607 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(267,plain,
! [SV2: $i] :
( ( ! [SY609: $i] :
( ( SV2 != SY609 )
| ! [SY610: $i] :
( ~ ( in @ SY610 @ SY609 )
| ( in @ SY610 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(268,plain,
! [SV3: $i] :
( ( ! [SY611: $i] :
( ( SV3 != SY611 )
| ( ( setunion @ SV3 )
= ( setunion @ SY611 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(269,plain,
! [SV4: $i] :
( ( ! [SY612: $i] :
( ( SV4 != SY612 )
| ( ( powerset @ SV4 )
= ( powerset @ SY612 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(270,plain,
! [SV5: $i] :
( ( ! [SY613: $i] :
( ( SV5 != SY613 )
| ! [SY614: $i,SY615: $i] :
( ( SY614 != SY615 )
| ( ( setadjoin @ SV5 @ SY614 )
= ( setadjoin @ SY613 @ SY615 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(271,plain,
! [SV6: $i] :
( ( ! [SY616: $i] :
( ( SV6 != SY616 )
| ! [SY617: $i,SY618: $i] :
( ( SY617 != SY618 )
| ~ ( in @ SY617 @ SV6 )
| ( in @ SY618 @ SY616 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(272,plain,
! [SV7: $o] :
( ( ~ SV7
| ( set2prop @ ( prop2set @ SV7 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[173]) ).
thf(273,plain,
( ( ~ $true
| ( set2prop @ ( prop2set @ $true ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[173]) ).
thf(274,plain,
( ( ~ $false
| ( set2prop @ ( prop2set @ $false ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[173]) ).
thf(275,plain,
! [SV8: $o] :
( ( ~ SV8
| ( in @ emptyset @ ( prop2set @ SV8 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[174]) ).
thf(276,plain,
( ( ~ $true
| ( in @ emptyset @ ( prop2set @ $true ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[174]) ).
thf(277,plain,
( ( ~ $false
| ( in @ emptyset @ ( prop2set @ $false ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[174]) ).
thf(278,plain,
! [SV9: $i > $o] :
( ( ! [SY619: $i] :
( ~ ( in @ SY619 @ emptyset )
| ( SV9 @ SY619 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(279,plain,
! [SV10: $i] :
( ( ! [SY620: $i > $o] :
( ! [SY621: $i] :
( ~ ( SY620 @ SY621 )
| ~ ( in @ SY621 @ SV10 ) )
| ( ( dsetconstr @ SV10
@ ^ [Xx: $i] : ( SY620 @ Xx ) )
!= emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(280,plain,
! [SV11: $i] :
( ( ! [SY623: $i] : ( in @ SY623 @ ( setadjoin @ SV11 @ ( setadjoin @ SY623 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(281,plain,
! [SV12: $i] :
( ( ! [SY624: $i] : ( in @ SV12 @ ( setadjoin @ SV12 @ ( setadjoin @ SY624 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(282,plain,
! [SV13: $i] :
( ( ! [SY625: $i,SY626: $i] :
( ~ ( in @ SY626 @ ( setadjoin @ SV13 @ ( setadjoin @ SY625 @ emptyset ) ) )
| ( SY626 = SV13 )
| ( SY626 = SY625 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(283,plain,
! [SV14: $i] :
( ( ! [SY627: $i] :
( ~ ( in @ SV14 @ ( setadjoin @ SY627 @ emptyset ) )
| ( in @ SY627 @ ( setadjoin @ SV14 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(284,plain,
! [SV15: $i] :
( ( ! [SY628: $i] :
( ( SV15 != SY628 )
| ( in @ SV15 @ ( setadjoin @ SY628 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(285,plain,
! [SV16: $i] :
( ( ! [SY629: $i] :
( ( SV16 = SY629 )
| ~ ( in @ SY629 @ ( setadjoin @ SV16 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(286,plain,
! [SV17: $i] :
( ( ! [SY630: $i] :
( ~ ( in @ SV17 @ ( setadjoin @ SY630 @ emptyset ) )
| ( SV17 = SY630 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(287,plain,
! [SV18: $i] :
( ( ( SV18 = emptyset )
| ( in @ ( sK32_Xx @ SV18 ) @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(288,plain,
! [SV19: $i] :
( ( ! [SY631: $i] :
( ~ ( in @ SY631 @ SV19 )
| ( in @ SY631 @ ( powerset @ ( setunion @ SV19 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(289,plain,
! [SV20: $i] :
( ( ! [SY632: $i,SY633: $i] :
( ~ ( in @ SY632 @ SY633 )
| ~ ( in @ SY633 @ SV20 )
| ( in @ SY632 @ ( setunion @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(290,plain,
! [SV21: $i] :
( ( ! [SY634: $i] :
( ~ ( in @ SY634 @ ( powerset @ SV21 ) )
| ! [SY635: $i] :
( ~ ( in @ SY635 @ SY634 )
| ( in @ SY635 @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(291,plain,
! [SV22: $i] :
( ( in @ emptyset @ ( powerset @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(292,plain,
! [SV23: $i] :
( ( in @ emptyset @ ( powerset @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(293,plain,
! [SV24: $i] :
( ( ( dsetconstr @ SV24
@ ^ [Xx: $i] : $true )
= SV24 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(294,plain,
! [SV25: $i] :
( ( ! [SY637: $i,SY638: $i] :
( ~ ( in @ SY638 @ ( setadjoin @ SV25 @ SY637 ) )
| ( SY638 = SV25 )
| ( in @ SY638 @ SY637 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(295,plain,
! [SV26: $i] :
( ( ! [SY639: $i,SY640: $i] :
( ~ ( in @ SY640 @ SY639 )
| ( in @ SY640 @ ( setadjoin @ SV26 @ SY639 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(296,plain,
! [SV27: $i] :
( ( ! [SY641: $i] : ( in @ SV27 @ ( setadjoin @ SV27 @ SY641 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(297,plain,
! [SV28: $i] :
( ( ! [SY642: $i] :
~ ( in @ SY642 @ SV28 )
| ( SV28 != emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(298,plain,
! [SV29: $i] :
( ( ! [SY643: $i > $o,SY644: $i] :
( ~ ( in @ SY644 @ SV29 )
| ~ ( SY643 @ SY644 )
| ( ( dsetconstr @ SV29
@ ^ [Xy: $i] : ( SY643 @ Xy ) )
!= emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(299,plain,
! [SV30: $i] :
( ( ( SV30 = emptyset )
| ( in @ ( sK27_Xx @ SV30 ) @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(300,plain,
! [SV31: $i] :
( ( ( in @ ( sK26_Xx @ SV31 ) @ SV31 )
| ( SV31 = emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(301,plain,
! [SV32: $i] :
( ( ( in @ ( sK25_Xx @ SV32 ) @ SV32 )
| ( SV32 = emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(302,plain,
! [SV33: $i] :
( ( ~ ( in @ SV33 @ emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(303,plain,
! [SV34: $i] :
( ( ~ ( in @ SV34 @ emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(304,plain,
( ( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true )
| ( ( ! [Xphi: $o] : Xphi )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(305,plain,
! [SV35: $o] :
( ( ! [SY646: $i] :
~ ( in @ SY646 @ ( prop2set @ SV35 ) )
| SV35 )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[214]) ).
thf(306,plain,
( ( ! [SX0: $i] :
~ ( in @ SX0 @ ( prop2set @ $true ) )
| $true )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[214]) ).
thf(307,plain,
( ( ! [SX0: $i] :
~ ( in @ SX0 @ ( prop2set @ $false ) )
| $false )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[214]) ).
thf(308,plain,
! [SV36: $i] :
( ( ! [SY647: $i > $o,SY648: $i] :
( ~ ( in @ SY648
@ ( dsetconstr @ SV36
@ ^ [Xy: $i] : ( SY647 @ Xy ) ) )
| ( SY647 @ SY648 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(309,plain,
! [SV37: $i] :
( ( ! [SY650: $i > $o,SY651: $i] :
( ~ ( in @ SY651
@ ( dsetconstr @ SV37
@ ^ [Xy: $i] : ( SY650 @ Xy ) ) )
| ( in @ SY651 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(310,plain,
! [SV38: $i] :
( ( ! [SY653: $i > $o,SY654: $i] :
( ~ ( in @ SY654 @ SV38 )
| ~ ( SY653 @ SY654 )
| ( in @ SY654
@ ( dsetconstr @ SV38
@ ^ [Xy: $i] : ( SY653 @ Xy ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(311,plain,
! [SV39: $i] :
( ( ~ ( in @ SV39 @ omega )
| ( in @ ( setadjoin @ SV39 @ SV39 ) @ omega ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(312,plain,
! [SV40: $i] :
( ( ~ ( in @ SV40 @ emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(313,plain,
! [SV41: $i] :
( ( ! [SY656: $i > $o] :
( ~ ( ~ ( in @ ( sK34_Xx @ SY656 @ SV41 ) @ SV41 )
| ~ ( SY656 @ ( sK34_Xx @ SY656 @ SV41 ) ) )
| ! [SY657: $i] :
( ~ ( SY656 @ SY657 )
| ~ ( in @ SY657 @ SV41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(314,plain,
! [SV42: $i] :
( ( ! [SY658: $i] :
( ~ ( ~ ( ~ ( in @ ( sK4_Xx @ SY658 @ SV42 ) @ SV42 )
| ~ ( in @ ( sK4_Xx @ SY658 @ SV42 ) @ SY658 ) )
| ~ ( ( in @ ( sK4_Xx @ SY658 @ SV42 ) @ SV42 )
| ( in @ ( sK4_Xx @ SY658 @ SV42 ) @ SY658 ) ) )
| ( SV42 = SY658 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(315,plain,
! [SV43: $i] :
( ( ! [SY659: $i] :
( ~ ( in @ SY659 @ ( setunion @ SV43 ) )
| ! [SY660: $o] :
( ~ ( ~ ( in @ SY659 @ ( sK29_B @ SY660 @ SY659 @ SV43 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ SY660 @ SY659 @ SV43 ) @ SV43 )
| ~ ~ SY660 ) )
| SY660 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(316,plain,
! [SV44: $i] :
( ( ! [SY661: $i > $o] :
( ! [SY662: $i] :
( ~ ( in @ SY662 @ SV44 )
| ( SY661 @ SY662 ) )
| ~ ( ~ ( in @ ( sK33_Xx @ SY661 @ SV44 ) @ SV44 )
| ~ ~ ( SY661 @ ( sK33_Xx @ SY661 @ SV44 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(317,plain,
! [SV45: $i > $o] :
( ( ! [SY663: $i] :
( ~ ( ~ ( SV45 @ ( sK40_Xy @ SY663 @ SV45 ) )
| ~ ( ( SY663
!= ( sK40_Xy @ SY663 @ SV45 ) ) ) )
| ~ ( SV45 @ SY663 ) )
| ~ ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) )
| ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(318,plain,
! [SV46: $i > $o] :
( ( ! [SY665: $i] :
( ~ ( ~ ( SV46 @ ( sK55_SY249 @ SY665 @ SV46 ) )
| ~ ( ( SY665
!= ( sK55_SY249 @ SY665 @ SV46 ) ) ) )
| ~ ( SV46 @ SY665 ) )
| ! [SY666: $i] :
( ~ ( SV46 @ SY666 )
| ! [SY667: $i] :
( ~ ( SV46 @ SY667 )
| ( SY666 = SY667 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(319,plain,
! [SV47: $i] :
( ( ! [SY668: $i] :
( ~ ( ~ ( in @ ( sK62_Xx @ SY668 @ SV47 ) @ SV47 )
| ~ ~ ( in @ ( sK62_Xx @ SY668 @ SV47 ) @ SY668 ) )
| ! [SY669: $i] :
( ~ ( in @ SY669 @ SV47 )
| ( in @ SY669 @ SY668 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(320,plain,
! [SV48: $i] :
( ( ~ ( ~ ~ ( ~ ( in @ ( sK7_Xx @ SV48 ) @ omega )
| ~ ( in @ ( sK7_Xx @ SV48 ) @ SV48 ) )
| ~ ~ ( in @ ( setadjoin @ ( sK7_Xx @ SV48 ) @ ( sK7_Xx @ SV48 ) ) @ SV48 ) )
| ~ ( in @ emptyset @ SV48 )
| ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(321,plain,
! [SV49: $i] :
( ( ! [SY671: $i] :
( ~ ( ~ ( in @ ( sK28_Xx @ SY671 @ SV49 ) @ SY671 )
| ~ ~ ( in @ ( sK28_Xx @ SY671 @ SV49 ) @ SV49 ) )
| ( in @ SY671 @ ( powerset @ SV49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(322,plain,
! [SV50: $i > $o] :
( ( ! [SY672: $i] :
( ~ ( ~ ( SV50 @ ( sK46_SY225 @ SY672 @ SV50 ) )
| ~ ( ( SY672
!= ( sK46_SY225 @ SY672 @ SV50 ) ) ) )
| ~ ( SV50 @ SY672 ) )
| ! [SY673: $i] :
( ~ ( SV50 @ SY673 )
| ! [SY674: $i] :
( ~ ( SV50 @ SY674 )
| ( SY673 = SY674 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(323,plain,
! [SV51: $i > $o] :
( ( ! [SY675: $i] :
( ~ ( ~ ( SV51 @ ( sK22_SY87 @ SY675 @ SV51 ) )
| ~ ( ( SY675
!= ( sK22_SY87 @ SY675 @ SV51 ) ) ) )
| ~ ( SV51 @ SY675 ) )
| ( SV51 @ ( sK21_Xx @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(324,plain,
! [SV52: $i] :
( ( ~ ( ~ ! [SY676: $i] :
( ~ ( ~ ( in @ ( sK17_Xx @ SY676 @ SV52 ) @ SY676 )
| ~ ~ ( in @ ( sK17_Xx @ SY676 @ SV52 ) @ SV52 ) )
| ! [SX2: $i] :
~ ( in @ SX2 @ SY676 )
| ~ ( ~ ! [SY678: $i] :
( ~ ( in @ SY678 @ ( sK13_B @ SV52 ) )
| ! [SY679: $i] :
( ~ ( in @ SY679 @ SY678 )
| ( in @ SY679 @ ( sK15_SY573 @ SY676 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SY676 @ SV52 ) @ SY678 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SY676 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SY676 @ SV52 ) @ SY676 ) )
| ~ ! [SY680: $i] :
( ~ ( in @ SY680 @ ( sK15_SY573 @ SY676 @ SV52 ) )
| ~ ( in @ SY680 @ SY676 ) ) ) ) )
| ~ ~ ( ~ ! [SY681: $i,SY682: $i] :
( ~ ( in @ SY681 @ ( sK13_B @ SV52 ) )
| ~ ( in @ SY682 @ ( sK13_B @ SV52 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY681 )
| ( in @ SX3 @ SY682 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY682 )
| ( in @ SX3 @ SY681 ) ) )
| ~ ~ ( ~ ! [SY685: $i] :
( ~ ( in @ SY685 @ ( sK13_B @ SV52 ) )
| ! [SY686: $i] :
( ~ ( in @ SY686 @ SY685 )
| ( in @ SY686 @ SV52 ) ) )
| ~ ! [SY687: $i,SY688: $i] :
( ~ ( in @ SY687 @ SV52 )
| ~ ( in @ SY688 @ SV52 )
| ~ ( ~ ( in @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ~ ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) )
| ~ ( ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) ) ) )
| ( SY687 = SY688 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(325,plain,
! [SV53: $i] :
( ( ! [SY689: $i] :
( ( SV53 != SY689 )
| ! [SY690: $i > $o,SY691: $i > $o] :
( ~ ( ~ ( in @ ( sK60_Xx @ SY691 @ SY690 @ SY689 @ SV53 ) @ SV53 )
| ~ ~ ( ~ ( in @ ( sK61_SY606 @ SY691 @ SY690 @ SY689 @ SV53 ) @ SY689 )
| ~ ~ ( ( ( sK60_Xx @ SY691 @ SY690 @ SY689 @ SV53 )
!= ( sK61_SY606 @ SY691 @ SY690 @ SY689 @ SV53 ) )
| ~ ~ ( ~ ( ~ ( SY690 @ ( sK60_Xx @ SY691 @ SY690 @ SY689 @ SV53 ) )
| ~ ( SY691 @ ( sK61_SY606 @ SY691 @ SY690 @ SY689 @ SV53 ) ) )
| ~ ( ( SY690 @ ( sK60_Xx @ SY691 @ SY690 @ SY689 @ SV53 ) )
| ( SY691 @ ( sK61_SY606 @ SY691 @ SY690 @ SY689 @ SV53 ) ) ) ) ) ) )
| ( ( dsetconstr @ SV53
@ ^ [SX4: $i] : ( SY690 @ SX4 ) )
= ( dsetconstr @ SY689
@ ^ [SX4: $i] : ( SY691 @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(326,plain,
! [SV54: $i] :
( ( ! [SY694: $i] :
( ~ ( ~ ( in @ ( sK24_Xx @ SY694 @ SV54 ) @ SV54 )
| ~ ~ ( in @ ( sK24_Xx @ SY694 @ SV54 ) @ SY694 ) )
| ~ ( ~ ( in @ ( sK23_Xx @ SY694 @ SV54 ) @ SY694 )
| ~ ~ ( in @ ( sK23_Xx @ SY694 @ SV54 ) @ SV54 ) )
| ( SV54 = SY694 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(327,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK53_Xx @ SX1 @ SX0 )
!= ( sK54_SY604 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK54_SY604 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK54_SY604 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX0 @ ( sK52_SY234 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK52_SY234 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( ( sK51_SY236 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX1 @ ( sK51_SY236 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK49_Xx @ SX1 @ SX0 )
!= ( sK50_SY602 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK50_SY602 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK50_SY602 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX1 @ ( sK48_SY237 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK48_SY237 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( ( sK47_SY233 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX0 @ ( sK47_SY233 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(328,plain,
! [SV55: $i] :
( ( ~ ( ~ ! [SY695: $i > $o,SY696: $i] :
( ~ ( in @ SY696 @ SV55 )
| ~ ( SY695 @ SY696 )
| ( in @ SY696
@ ( dsetconstr @ SV55
@ ^ [SX3: $i] : ( SY695 @ SX3 ) ) ) )
| ~ ! [SY698: $i > $o,SY699: $i] :
( ~ ( in @ SY699 @ SV55 )
| ~ ( in @ SY699
@ ( dsetconstr @ SV55
@ ^ [SX3: $i] : ( SY698 @ SX3 ) ) )
| ( SY698 @ SY699 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(329,plain,
! [SV56: $i] :
( ( ! [SY701: $i] :
( ( SV56 != SY701 )
| ~ ( ~ ! [SY702: $i,SY703: $i] :
( ( SY702 != SY703 )
| ~ ( in @ SY702 @ SV56 )
| ( in @ SY703 @ SY701 ) )
| ~ ! [SY704: $i,SY705: $i] :
( ( SY704 != SY705 )
| ~ ( in @ SY705 @ SY701 )
| ( in @ SY704 @ SV56 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(330,plain,
! [SV57: $i] :
( ( ! [SY706: $i > $o] :
( ! [SY707: $i] :
( ~ ( in @ SY707 @ SV57 )
| ( SY706 @ SY707 ) )
| ~ ( ~ ( in @ ( sK36_Xx @ SY706 @ SV57 ) @ SV57 )
| ~ ~ ( SY706 @ ( sK36_Xx @ SY706 @ SV57 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(331,plain,
! [SV58: $i > $i > $o] :
( ( ! [SY708: $i] :
( ~ ( ~ ( in @ ( sK10_SY25 @ SY708 @ SV58 ) @ SY708 )
| ~ ! [SY709: $i] :
( ~ ( ~ ( SV58 @ ( sK10_SY25 @ SY708 @ SV58 ) @ ( sK11_SY568 @ SY709 @ SY708 @ SV58 ) )
| ~ ( ( SY709
!= ( sK11_SY568 @ SY709 @ SY708 @ SV58 ) ) ) )
| ~ ( SV58 @ ( sK10_SY25 @ SY708 @ SV58 ) @ SY709 ) ) )
| ~ ( ~ ! [SY710: $i] :
( ! [SY711: $i] :
( ~ ( SV58 @ SY711 @ SY710 )
| ~ ( in @ SY711 @ SY708 ) )
| ( in @ SY710 @ ( sK8_B @ SY708 @ SV58 ) ) )
| ~ ! [SY712: $i] :
( ~ ( in @ SY712 @ ( sK8_B @ SY708 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY712 @ SY708 @ SV58 ) @ SY712 )
| ~ ( in @ ( sK9_Xy @ SY712 @ SY708 @ SV58 ) @ SY708 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(332,plain,
! [SV59: $i > $o] :
( ( ! [SY713: $i] :
( ~ ( ~ ( SV59 @ ( sK20_SY75 @ SY713 @ SV59 ) )
| ~ ( ( SY713
!= ( sK20_SY75 @ SY713 @ SV59 ) ) ) )
| ~ ( SV59 @ SY713 ) )
| ~ ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) )
| ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(333,plain,
! [SV60: $i > $o] :
( ( ! [SY715: $i] :
~ ( SV60 @ SY715 )
| ~ ( ~ ( SV60 @ ( sK42_Xx @ SV60 ) )
| ~ ~ ( ~ ( SV60 @ ( sK43_SY599 @ SV60 ) )
| ~ ( ( ( sK42_Xx @ SV60 )
!= ( sK43_SY599 @ SV60 ) ) ) ) )
| ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(334,plain,
! [SV61: $i] :
( ( ! [SY717: $i > $o] :
( ! [SY718: $i] :
( ~ ( in @ SY718 @ SV61 )
| ( SY717 @ SY718 ) )
| ~ ( ~ ( in @ ( sK38_Xx @ SY717 @ SV61 ) @ SV61 )
| ~ ~ ( SY717 @ ( sK38_Xx @ SY717 @ SV61 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(335,plain,
! [SV62: $i > $o] :
( ( ! [SY719: $i > $o] :
( ~ ( ( ( sK58_Xx @ SY719 @ SV62 )
!= ( sK59_SY605 @ SY719 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SV62 @ ( sK58_Xx @ SY719 @ SV62 ) )
| ~ ( SY719 @ ( sK59_SY605 @ SY719 @ SV62 ) ) )
| ~ ( ( SV62 @ ( sK58_Xx @ SY719 @ SV62 ) )
| ( SY719 @ ( sK59_SY605 @ SY719 @ SV62 ) ) ) ) )
| ! [SY720: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY720 @ SY719 @ SV62 ) )
| ~ ( ( SY720
!= ( sK57_SY258 @ SY720 @ SY719 @ SV62 ) ) ) )
| ~ ( SV62 @ SY720 ) )
| ! [SY721: $i] :
( ~ ( ~ ( SY719 @ ( sK56_SY261 @ SY721 @ SY719 @ SV62 ) )
| ~ ( ( SY721
!= ( sK56_SY261 @ SY721 @ SY719 @ SV62 ) ) ) )
| ~ ( SY719 @ SY721 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SX2: $i] : ( SY719 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(336,plain,
! [SV63: $i] :
( ( ! [SY724: $i,SY725: $i] :
( ~ ( in @ SY725 @ ( setadjoin @ SV63 @ SY724 ) )
| ~ ( ~ ~ ( ~ ( ( SY725 = SV63 )
| ( in @ SY725 @ SY724 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SY725 = SV63 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
| ~ ~ ( ~ ! [SX3: $o] :
( ~ SX3
| ( in @ SY725 @ SY724 )
| SX3 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(337,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)],[256]) ).
thf(338,plain,
! [SV64: $i] :
( ( ~ ( ~ ! [SY730: $i,SY731: $i] :
( ~ ( in @ SY731 @ ( setadjoin @ SV64 @ SY730 ) )
| ( SY731 = SV64 )
| ( in @ SY731 @ SY730 ) )
| ~ ~ ( ~ ! [SY732: $i,SY733: $i] :
( ( SY733 != SV64 )
| ( in @ SY733 @ ( setadjoin @ SV64 @ SY732 ) ) )
| ~ ! [SY734: $i,SY735: $i] :
( ~ ( in @ SY735 @ SY734 )
| ( in @ SY735 @ ( setadjoin @ SV64 @ SY734 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(339,plain,
! [SV65: $i] :
( ( ! [SY736: $i > $o] :
( ~ ( ~ ( SY736 @ ( sK37_Xx @ SY736 @ SV65 ) )
| ~ ( in @ ( sK37_Xx @ SY736 @ SV65 ) @ SV65 ) )
| ! [SY737: $i] :
( ~ ( in @ SY737 @ SV65 )
| ~ ( SY736 @ SY737 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(340,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)],[259]) ).
thf(341,plain,
! [SV66: $i] :
( ( ! [SY738: $i > $o] :
( ~ ( ~ ( SY738 @ ( sK35_Xx @ SY738 @ SV66 ) )
| ~ ( in @ ( sK35_Xx @ SY738 @ SV66 ) @ SV66 ) )
| ! [SY739: $i] :
( ~ ( in @ SY739 @ SV66 )
| ~ ( SY738 @ SY739 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(342,plain,
( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_SY0 )
| ( in @ SX0 @ sK2_SY558 ) )
| ~ ~ ( ~ ( in @ sK3_SY562 @ sK1_SY0 )
| ~ ~ ( in @ sK3_SY562 @ sK2_SY558 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(343,plain,
! [SV67: $i > $o] :
( ( ! [SY740: $i] :
~ ( ~ ( ( ( sK45_Xy @ SY740 @ SV67 )
!= SY740 )
| ~ ( SV67 @ ( sK45_Xy @ SY740 @ SV67 ) ) )
| ~ ( ( ( sK45_Xy @ SY740 @ SV67 )
= SY740 )
| ( SV67 @ ( sK45_Xy @ SY740 @ SV67 ) ) ) )
| ~ ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) )
| ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(344,plain,
! [SV68: $i] :
( ( ! [SY742: $i] :
~ ( in @ SY742 @ SV68 )
| ~ ( ~ ( in @ ( sK12_B @ SV68 ) @ SV68 )
| ~ ! [SY743: $i] :
( ~ ( in @ SY743 @ ( sK12_B @ SV68 ) )
| ~ ( in @ SY743 @ SV68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(345,plain,
! [SV69: $i > $o] :
( ( ! [SY744: $i] :
( ~ ( ~ ( SV69 @ ( sK31_SY143 @ SY744 @ SV69 ) )
| ~ ( ( SY744
!= ( sK31_SY143 @ SY744 @ SV69 ) ) ) )
| ~ ( SV69 @ SY744 ) )
| ~ ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) )
| ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(346,plain,
! [SV70: $i > $o] :
( ( ! [SY747: $i] :
( ~ ( ~ ( SV70 @ ( sK18_SY58 @ SY747 @ SV70 ) )
| ~ ( ( SY747
!= ( sK18_SY58 @ SY747 @ SV70 ) ) ) )
| ~ ( SV70 @ SY747 ) )
| ( SV70
@ ( descr
@ ^ [SY748: $i] : ( SV70 @ SY748 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(347,plain,
! [SV71: $i,SV1: $i] :
( ( ( SV1 != SV71 )
| ! [SY749: $i] :
( ~ ( in @ SY749 @ SV1 )
| ( in @ SY749 @ SV71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(348,plain,
! [SV72: $i,SV2: $i] :
( ( ( SV2 != SV72 )
| ! [SY750: $i] :
( ~ ( in @ SY750 @ SV72 )
| ( in @ SY750 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(349,plain,
! [SV73: $i,SV3: $i] :
( ( ( SV3 != SV73 )
| ( ( setunion @ SV3 )
= ( setunion @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(350,plain,
! [SV74: $i,SV4: $i] :
( ( ( SV4 != SV74 )
| ( ( powerset @ SV4 )
= ( powerset @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(351,plain,
! [SV75: $i,SV5: $i] :
( ( ( SV5 != SV75 )
| ! [SY751: $i,SY752: $i] :
( ( SY751 != SY752 )
| ( ( setadjoin @ SV5 @ SY751 )
= ( setadjoin @ SV75 @ SY752 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(352,plain,
! [SV76: $i,SV6: $i] :
( ( ( SV6 != SV76 )
| ! [SY753: $i,SY754: $i] :
( ( SY753 != SY754 )
| ~ ( in @ SY753 @ SV6 )
| ( in @ SY754 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(353,plain,
! [SV7: $o] :
( ( ( ~ SV7 ) = $true )
| ( ( set2prop @ ( prop2set @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(354,plain,
( ( ( ~ $true ) = $true )
| ( ( set2prop @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(355,plain,
( ( ( ~ $false ) = $true )
| ( ( set2prop @ ( prop2set @ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(356,plain,
! [SV8: $o] :
( ( ( ~ SV8 ) = $true )
| ( ( in @ emptyset @ ( prop2set @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(357,plain,
( ( ( ~ $true ) = $true )
| ( ( in @ emptyset @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(358,plain,
( ( ( ~ $false ) = $true )
| ( ( in @ emptyset @ ( prop2set @ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(359,plain,
! [SV9: $i > $o,SV77: $i] :
( ( ~ ( in @ SV77 @ emptyset )
| ( SV9 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(360,plain,
! [SV10: $i,SV78: $i > $o] :
( ( ! [SY755: $i] :
( ~ ( SV78 @ SY755 )
| ~ ( in @ SY755 @ SV10 ) )
| ( ( dsetconstr @ SV10
@ ^ [SY756: $i] : ( SV78 @ SY756 ) )
!= emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(361,plain,
! [SV11: $i,SV79: $i] :
( ( in @ SV79 @ ( setadjoin @ SV11 @ ( setadjoin @ SV79 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(362,plain,
! [SV80: $i,SV12: $i] :
( ( in @ SV12 @ ( setadjoin @ SV12 @ ( setadjoin @ SV80 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(363,plain,
! [SV81: $i,SV13: $i] :
( ( ! [SY757: $i] :
( ~ ( in @ SY757 @ ( setadjoin @ SV13 @ ( setadjoin @ SV81 @ emptyset ) ) )
| ( SY757 = SV13 )
| ( SY757 = SV81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(364,plain,
! [SV82: $i,SV14: $i] :
( ( ~ ( in @ SV14 @ ( setadjoin @ SV82 @ emptyset ) )
| ( in @ SV82 @ ( setadjoin @ SV14 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(365,plain,
! [SV83: $i,SV15: $i] :
( ( ( SV15 != SV83 )
| ( in @ SV15 @ ( setadjoin @ SV83 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(366,plain,
! [SV84: $i,SV16: $i] :
( ( ( SV16 = SV84 )
| ~ ( in @ SV84 @ ( setadjoin @ SV16 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(367,plain,
! [SV85: $i,SV17: $i] :
( ( ~ ( in @ SV17 @ ( setadjoin @ SV85 @ emptyset ) )
| ( SV17 = SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(368,plain,
! [SV18: $i] :
( ( ( SV18 = emptyset )
= $true )
| ( ( in @ ( sK32_Xx @ SV18 ) @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(369,plain,
! [SV19: $i,SV86: $i] :
( ( ~ ( in @ SV86 @ SV19 )
| ( in @ SV86 @ ( powerset @ ( setunion @ SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(370,plain,
! [SV20: $i,SV87: $i] :
( ( ! [SY758: $i] :
( ~ ( in @ SV87 @ SY758 )
| ~ ( in @ SY758 @ SV20 )
| ( in @ SV87 @ ( setunion @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(371,plain,
! [SV21: $i,SV88: $i] :
( ( ~ ( in @ SV88 @ ( powerset @ SV21 ) )
| ! [SY759: $i] :
( ~ ( in @ SY759 @ SV88 )
| ( in @ SY759 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(372,plain,
! [SV89: $i,SV25: $i] :
( ( ! [SY760: $i] :
( ~ ( in @ SY760 @ ( setadjoin @ SV25 @ SV89 ) )
| ( SY760 = SV25 )
| ( in @ SY760 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(373,plain,
! [SV26: $i,SV90: $i] :
( ( ! [SY761: $i] :
( ~ ( in @ SY761 @ SV90 )
| ( in @ SY761 @ ( setadjoin @ SV26 @ SV90 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(374,plain,
! [SV91: $i,SV27: $i] :
( ( in @ SV27 @ ( setadjoin @ SV27 @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(375,plain,
! [SV28: $i] :
( ( ( ! [SY642: $i] :
~ ( in @ SY642 @ SV28 ) )
= $true )
| ( ( SV28 != emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(376,plain,
! [SV92: $i > $o,SV29: $i] :
( ( ! [SY762: $i] :
( ~ ( in @ SY762 @ SV29 )
| ~ ( SV92 @ SY762 )
| ( ( dsetconstr @ SV29
@ ^ [SY763: $i] : ( SV92 @ SY763 ) )
!= emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(377,plain,
! [SV30: $i] :
( ( ( SV30 = emptyset )
= $true )
| ( ( in @ ( sK27_Xx @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(378,plain,
! [SV31: $i] :
( ( ( in @ ( sK26_Xx @ SV31 ) @ SV31 )
= $true )
| ( ( SV31 = emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(379,plain,
! [SV32: $i] :
( ( ( in @ ( sK25_Xx @ SV32 ) @ SV32 )
= $true )
| ( ( SV32 = emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(380,plain,
! [SV33: $i] :
( ( in @ SV33 @ emptyset )
= $false ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(381,plain,
! [SV34: $i] :
( ( in @ SV34 @ emptyset )
= $false ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(382,plain,
! [SV93: $i] :
( ( ( ~ ( in @ SV93 @ emptyset ) )
= $true )
| ( ( ! [Xphi: $o] : Xphi )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(383,plain,
! [SV35: $o] :
( ( ( ! [SY646: $i] :
~ ( in @ SY646 @ ( prop2set @ SV35 ) ) )
= $true )
| ( SV35 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(384,plain,
( ( ( ! [SX0: $i] :
~ ( in @ SX0 @ ( prop2set @ $true ) ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(385,plain,
( ( ( ! [SX0: $i] :
~ ( in @ SX0 @ ( prop2set @ $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(386,plain,
! [SV94: $i > $o,SV36: $i] :
( ( ! [SY764: $i] :
( ~ ( in @ SY764
@ ( dsetconstr @ SV36
@ ^ [SY765: $i] : ( SV94 @ SY765 ) ) )
| ( SV94 @ SY764 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(387,plain,
! [SV95: $i > $o,SV37: $i] :
( ( ! [SY766: $i] :
( ~ ( in @ SY766
@ ( dsetconstr @ SV37
@ ^ [SY767: $i] : ( SV95 @ SY767 ) ) )
| ( in @ SY766 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(388,plain,
! [SV96: $i > $o,SV38: $i] :
( ( ! [SY768: $i] :
( ~ ( in @ SY768 @ SV38 )
| ~ ( SV96 @ SY768 )
| ( in @ SY768
@ ( dsetconstr @ SV38
@ ^ [SY769: $i] : ( SV96 @ SY769 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(389,plain,
! [SV39: $i] :
( ( ( ~ ( in @ SV39 @ omega ) )
= $true )
| ( ( in @ ( setadjoin @ SV39 @ SV39 ) @ omega )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(390,plain,
! [SV40: $i] :
( ( in @ SV40 @ emptyset )
= $false ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(391,plain,
! [SV41: $i,SV97: $i > $o] :
( ( ~ ( ~ ( in @ ( sK34_Xx @ SV97 @ SV41 ) @ SV41 )
| ~ ( SV97 @ ( sK34_Xx @ SV97 @ SV41 ) ) )
| ! [SY770: $i] :
( ~ ( SV97 @ SY770 )
| ~ ( in @ SY770 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(392,plain,
! [SV42: $i,SV98: $i] :
( ( ~ ( ~ ( ~ ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV42 )
| ~ ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV98 ) )
| ~ ( ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV42 )
| ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV98 ) ) )
| ( SV42 = SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(393,plain,
! [SV43: $i,SV99: $i] :
( ( ~ ( in @ SV99 @ ( setunion @ SV43 ) )
| ! [SY771: $o] :
( ~ ( ~ ( in @ SV99 @ ( sK29_B @ SY771 @ SV99 @ SV43 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ SY771 @ SV99 @ SV43 ) @ SV43 )
| ~ ~ SY771 ) )
| SY771 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(394,plain,
! [SV100: $i > $o,SV44: $i] :
( ( ! [SY772: $i] :
( ~ ( in @ SY772 @ SV44 )
| ( SV100 @ SY772 ) )
| ~ ( ~ ( in @ ( sK33_Xx @ SV100 @ SV44 ) @ SV44 )
| ~ ~ ( SV100 @ ( sK33_Xx @ SV100 @ SV44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(395,plain,
! [SV45: $i > $o] :
( ( ( ! [SY663: $i] :
( ~ ( ~ ( SV45 @ ( sK40_Xy @ SY663 @ SV45 ) )
| ~ ( ( SY663
!= ( sK40_Xy @ SY663 @ SV45 ) ) ) )
| ~ ( SV45 @ SY663 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) )
| ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(396,plain,
! [SV46: $i > $o] :
( ( ( ! [SY665: $i] :
( ~ ( ~ ( SV46 @ ( sK55_SY249 @ SY665 @ SV46 ) )
| ~ ( ( SY665
!= ( sK55_SY249 @ SY665 @ SV46 ) ) ) )
| ~ ( SV46 @ SY665 ) ) )
= $true )
| ( ( ! [SY666: $i] :
( ~ ( SV46 @ SY666 )
| ! [SY667: $i] :
( ~ ( SV46 @ SY667 )
| ( SY666 = SY667 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(397,plain,
! [SV47: $i,SV101: $i] :
( ( ~ ( ~ ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV47 )
| ~ ~ ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV101 ) )
| ! [SY773: $i] :
( ~ ( in @ SY773 @ SV47 )
| ( in @ SY773 @ SV101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(398,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK7_Xx @ SV48 ) @ omega )
| ~ ( in @ ( sK7_Xx @ SV48 ) @ SV48 ) )
| ~ ~ ( in @ ( setadjoin @ ( sK7_Xx @ SV48 ) @ ( sK7_Xx @ SV48 ) ) @ SV48 ) )
| ~ ( in @ emptyset @ SV48 ) )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(399,plain,
! [SV49: $i,SV102: $i] :
( ( ~ ( ~ ( in @ ( sK28_Xx @ SV102 @ SV49 ) @ SV102 )
| ~ ~ ( in @ ( sK28_Xx @ SV102 @ SV49 ) @ SV49 ) )
| ( in @ SV102 @ ( powerset @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(400,plain,
! [SV50: $i > $o] :
( ( ( ! [SY672: $i] :
( ~ ( ~ ( SV50 @ ( sK46_SY225 @ SY672 @ SV50 ) )
| ~ ( ( SY672
!= ( sK46_SY225 @ SY672 @ SV50 ) ) ) )
| ~ ( SV50 @ SY672 ) ) )
= $true )
| ( ( ! [SY673: $i] :
( ~ ( SV50 @ SY673 )
| ! [SY674: $i] :
( ~ ( SV50 @ SY674 )
| ( SY673 = SY674 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(401,plain,
! [SV51: $i > $o] :
( ( ( ! [SY675: $i] :
( ~ ( ~ ( SV51 @ ( sK22_SY87 @ SY675 @ SV51 ) )
| ~ ( ( SY675
!= ( sK22_SY87 @ SY675 @ SV51 ) ) ) )
| ~ ( SV51 @ SY675 ) ) )
= $true )
| ( ( SV51 @ ( sK21_Xx @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(402,plain,
! [SV52: $i] :
( ( ~ ! [SY676: $i] :
( ~ ( ~ ( in @ ( sK17_Xx @ SY676 @ SV52 ) @ SY676 )
| ~ ~ ( in @ ( sK17_Xx @ SY676 @ SV52 ) @ SV52 ) )
| ! [SX2: $i] :
~ ( in @ SX2 @ SY676 )
| ~ ( ~ ! [SY678: $i] :
( ~ ( in @ SY678 @ ( sK13_B @ SV52 ) )
| ! [SY679: $i] :
( ~ ( in @ SY679 @ SY678 )
| ( in @ SY679 @ ( sK15_SY573 @ SY676 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SY676 @ SV52 ) @ SY678 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SY676 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SY676 @ SV52 ) @ SY676 ) )
| ~ ! [SY680: $i] :
( ~ ( in @ SY680 @ ( sK15_SY573 @ SY676 @ SV52 ) )
| ~ ( in @ SY680 @ SY676 ) ) ) ) )
| ~ ~ ( ~ ! [SY681: $i,SY682: $i] :
( ~ ( in @ SY681 @ ( sK13_B @ SV52 ) )
| ~ ( in @ SY682 @ ( sK13_B @ SV52 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY681 )
| ( in @ SX3 @ SY682 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY682 )
| ( in @ SX3 @ SY681 ) ) )
| ~ ~ ( ~ ! [SY685: $i] :
( ~ ( in @ SY685 @ ( sK13_B @ SV52 ) )
| ! [SY686: $i] :
( ~ ( in @ SY686 @ SY685 )
| ( in @ SY686 @ SV52 ) ) )
| ~ ! [SY687: $i,SY688: $i] :
( ~ ( in @ SY687 @ SV52 )
| ~ ( in @ SY688 @ SV52 )
| ~ ( ~ ( in @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ~ ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) )
| ~ ( ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) ) ) )
| ( SY687 = SY688 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(403,plain,
! [SV103: $i,SV53: $i] :
( ( ( SV53 != SV103 )
| ! [SY774: $i > $o,SY775: $i > $o] :
( ~ ( ~ ( in @ ( sK60_Xx @ SY775 @ SY774 @ SV103 @ SV53 ) @ SV53 )
| ~ ~ ( ~ ( in @ ( sK61_SY606 @ SY775 @ SY774 @ SV103 @ SV53 ) @ SV103 )
| ~ ~ ( ( ( sK60_Xx @ SY775 @ SY774 @ SV103 @ SV53 )
!= ( sK61_SY606 @ SY775 @ SY774 @ SV103 @ SV53 ) )
| ~ ~ ( ~ ( ~ ( SY774 @ ( sK60_Xx @ SY775 @ SY774 @ SV103 @ SV53 ) )
| ~ ( SY775 @ ( sK61_SY606 @ SY775 @ SY774 @ SV103 @ SV53 ) ) )
| ~ ( ( SY774 @ ( sK60_Xx @ SY775 @ SY774 @ SV103 @ SV53 ) )
| ( SY775 @ ( sK61_SY606 @ SY775 @ SY774 @ SV103 @ SV53 ) ) ) ) ) ) )
| ( ( dsetconstr @ SV53
@ ^ [SX4: $i] : ( SY774 @ SX4 ) )
= ( dsetconstr @ SV103
@ ^ [SX4: $i] : ( SY775 @ SX4 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(404,plain,
! [SV54: $i,SV104: $i] :
( ( ~ ( ~ ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV54 )
| ~ ~ ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV104 ) )
| ~ ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 )
| ~ ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) )
| ( SV54 = SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(405,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK53_Xx @ SX1 @ SX0 )
!= ( sK54_SY604 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK54_SY604 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK54_SY604 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX0 @ ( sK52_SY234 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK52_SY234 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( ( sK51_SY236 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX1 @ ( sK51_SY236 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(406,plain,
( ( ~ ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK49_Xx @ SX1 @ SX0 )
!= ( sK50_SY602 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK50_SY602 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK50_SY602 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX1 @ ( sK48_SY237 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK48_SY237 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( ( sK47_SY233 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX0 @ ( sK47_SY233 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(407,plain,
! [SV55: $i] :
( ( ~ ! [SY695: $i > $o,SY696: $i] :
( ~ ( in @ SY696 @ SV55 )
| ~ ( SY695 @ SY696 )
| ( in @ SY696
@ ( dsetconstr @ SV55
@ ^ [SX3: $i] : ( SY695 @ SX3 ) ) ) )
| ~ ! [SY698: $i > $o,SY699: $i] :
( ~ ( in @ SY699 @ SV55 )
| ~ ( in @ SY699
@ ( dsetconstr @ SV55
@ ^ [SX3: $i] : ( SY698 @ SX3 ) ) )
| ( SY698 @ SY699 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(408,plain,
! [SV105: $i,SV56: $i] :
( ( ( SV56 != SV105 )
| ~ ( ~ ! [SY778: $i,SY779: $i] :
( ( SY778 != SY779 )
| ~ ( in @ SY778 @ SV56 )
| ( in @ SY779 @ SV105 ) )
| ~ ! [SY780: $i,SY781: $i] :
( ( SY780 != SY781 )
| ~ ( in @ SY781 @ SV105 )
| ( in @ SY780 @ SV56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(409,plain,
! [SV106: $i > $o,SV57: $i] :
( ( ! [SY782: $i] :
( ~ ( in @ SY782 @ SV57 )
| ( SV106 @ SY782 ) )
| ~ ( ~ ( in @ ( sK36_Xx @ SV106 @ SV57 ) @ SV57 )
| ~ ~ ( SV106 @ ( sK36_Xx @ SV106 @ SV57 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(410,plain,
! [SV58: $i > $i > $o,SV107: $i] :
( ( ~ ( ~ ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
| ~ ! [SY783: $i] :
( ~ ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SY783 @ SV107 @ SV58 ) )
| ~ ( ( SY783
!= ( sK11_SY568 @ SY783 @ SV107 @ SV58 ) ) ) )
| ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SY783 ) ) )
| ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(411,plain,
! [SV59: $i > $o] :
( ( ( ! [SY713: $i] :
( ~ ( ~ ( SV59 @ ( sK20_SY75 @ SY713 @ SV59 ) )
| ~ ( ( SY713
!= ( sK20_SY75 @ SY713 @ SV59 ) ) ) )
| ~ ( SV59 @ SY713 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) )
| ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(412,plain,
! [SV60: $i > $o] :
( ( ( ! [SY715: $i] :
~ ( SV60 @ SY715 ) )
= $true )
| ( ( ~ ( ~ ( SV60 @ ( sK42_Xx @ SV60 ) )
| ~ ~ ( ~ ( SV60 @ ( sK43_SY599 @ SV60 ) )
| ~ ( ( ( sK42_Xx @ SV60 )
!= ( sK43_SY599 @ SV60 ) ) ) ) )
| ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(413,plain,
! [SV108: $i > $o,SV61: $i] :
( ( ! [SY787: $i] :
( ~ ( in @ SY787 @ SV61 )
| ( SV108 @ SY787 ) )
| ~ ( ~ ( in @ ( sK38_Xx @ SV108 @ SV61 ) @ SV61 )
| ~ ~ ( SV108 @ ( sK38_Xx @ SV108 @ SV61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(414,plain,
! [SV62: $i > $o,SV109: $i > $o] :
( ( ~ ( ( ( sK58_Xx @ SV109 @ SV62 )
!= ( sK59_SY605 @ SV109 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ~ ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) )
| ~ ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) ) ) )
| ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(415,plain,
! [SV110: $i,SV63: $i] :
( ( ! [SY792: $i] :
( ~ ( in @ SY792 @ ( setadjoin @ SV63 @ SV110 ) )
| ~ ( ~ ~ ( ~ ( ( SY792 = SV63 )
| ( in @ SY792 @ SV110 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SY792 = SV63 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
| ~ ~ ( ~ ! [SY795: $o] :
( ~ SY795
| ( in @ SY792 @ SV110 )
| SY795 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(416,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( in @ SX1 @ SX2 )
| ~ ( in @ SX2 @ SX0 ) )
| ( in @ SX1 @ ( setunion @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(417,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)],[337]) ).
thf(418,plain,
! [SV64: $i] :
( ( ~ ! [SY730: $i,SY731: $i] :
( ~ ( in @ SY731 @ ( setadjoin @ SV64 @ SY730 ) )
| ( SY731 = SV64 )
| ( in @ SY731 @ SY730 ) )
| ~ ~ ( ~ ! [SY732: $i,SY733: $i] :
( ( SY733 != SV64 )
| ( in @ SY733 @ ( setadjoin @ SV64 @ SY732 ) ) )
| ~ ! [SY734: $i,SY735: $i] :
( ~ ( in @ SY735 @ SY734 )
| ( in @ SY735 @ ( setadjoin @ SV64 @ SY734 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(419,plain,
! [SV65: $i,SV111: $i > $o] :
( ( ~ ( ~ ( SV111 @ ( sK37_Xx @ SV111 @ SV65 ) )
| ~ ( in @ ( sK37_Xx @ SV111 @ SV65 ) @ SV65 ) )
| ! [SY797: $i] :
( ~ ( in @ SY797 @ SV65 )
| ~ ( SV111 @ SY797 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(420,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)],[340]) ).
thf(421,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ ( powerset @ SX0 ) )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(422,plain,
! [SV66: $i,SV112: $i > $o] :
( ( ~ ( ~ ( SV112 @ ( sK35_Xx @ SV112 @ SV66 ) )
| ~ ( in @ ( sK35_Xx @ SV112 @ SV66 ) @ SV66 ) )
| ! [SY798: $i] :
( ~ ( in @ SY798 @ SV66 )
| ~ ( SV112 @ SY798 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(423,plain,
( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_SY0 )
| ( in @ SX0 @ sK2_SY558 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(424,plain,
( ( ~ ~ ( ~ ( in @ sK3_SY562 @ sK1_SY0 )
| ~ ~ ( in @ sK3_SY562 @ sK2_SY558 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(425,plain,
! [SV67: $i > $o] :
( ( ( ! [SY740: $i] :
~ ( ~ ( ( ( sK45_Xy @ SY740 @ SV67 )
!= SY740 )
| ~ ( SV67 @ ( sK45_Xy @ SY740 @ SV67 ) ) )
| ~ ( ( ( sK45_Xy @ SY740 @ SV67 )
= SY740 )
| ( SV67 @ ( sK45_Xy @ SY740 @ SV67 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) )
| ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(426,plain,
! [SV68: $i] :
( ( ( ! [SY742: $i] :
~ ( in @ SY742 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK12_B @ SV68 ) @ SV68 )
| ~ ! [SY743: $i] :
( ~ ( in @ SY743 @ ( sK12_B @ SV68 ) )
| ~ ( in @ SY743 @ SV68 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(427,plain,
! [SV69: $i > $o] :
( ( ( ! [SY744: $i] :
( ~ ( ~ ( SV69 @ ( sK31_SY143 @ SY744 @ SV69 ) )
| ~ ( ( SY744
!= ( sK31_SY143 @ SY744 @ SV69 ) ) ) )
| ~ ( SV69 @ SY744 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) )
| ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(428,plain,
! [SV70: $i > $o] :
( ( ( ! [SY747: $i] :
( ~ ( ~ ( SV70 @ ( sK18_SY58 @ SY747 @ SV70 ) )
| ~ ( ( SY747
!= ( sK18_SY58 @ SY747 @ SV70 ) ) ) )
| ~ ( SV70 @ SY747 ) ) )
= $true )
| ( ( SV70
@ ( descr
@ ^ [SY748: $i] : ( SV70 @ SY748 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(429,plain,
! [SV71: $i,SV1: $i] :
( ( ( SV1 != SV71 )
= $true )
| ( ( ! [SY749: $i] :
( ~ ( in @ SY749 @ SV1 )
| ( in @ SY749 @ SV71 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(430,plain,
! [SV72: $i,SV2: $i] :
( ( ( SV2 != SV72 )
= $true )
| ( ( ! [SY750: $i] :
( ~ ( in @ SY750 @ SV72 )
| ( in @ SY750 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(431,plain,
! [SV73: $i,SV3: $i] :
( ( ( SV3 != SV73 )
= $true )
| ( ( ( setunion @ SV3 )
= ( setunion @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(432,plain,
! [SV74: $i,SV4: $i] :
( ( ( SV4 != SV74 )
= $true )
| ( ( ( powerset @ SV4 )
= ( powerset @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(433,plain,
! [SV75: $i,SV5: $i] :
( ( ( SV5 != SV75 )
= $true )
| ( ( ! [SY751: $i,SY752: $i] :
( ( SY751 != SY752 )
| ( ( setadjoin @ SV5 @ SY751 )
= ( setadjoin @ SV75 @ SY752 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(434,plain,
! [SV76: $i,SV6: $i] :
( ( ( SV6 != SV76 )
= $true )
| ( ( ! [SY753: $i,SY754: $i] :
( ( SY753 != SY754 )
| ~ ( in @ SY753 @ SV6 )
| ( in @ SY754 @ SV76 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(435,plain,
! [SV7: $o] :
( ( SV7 = $false )
| ( ( set2prop @ ( prop2set @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(436,plain,
( ( $true = $false )
| ( ( set2prop @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(437,plain,
( ( $false = $false )
| ( ( set2prop @ ( prop2set @ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(438,plain,
! [SV8: $o] :
( ( SV8 = $false )
| ( ( in @ emptyset @ ( prop2set @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(439,plain,
( ( $true = $false )
| ( ( in @ emptyset @ ( prop2set @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(440,plain,
( ( $false = $false )
| ( ( in @ emptyset @ ( prop2set @ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(441,plain,
! [SV9: $i > $o,SV77: $i] :
( ( ( ~ ( in @ SV77 @ emptyset ) )
= $true )
| ( ( SV9 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(442,plain,
! [SV10: $i,SV78: $i > $o] :
( ( ( ! [SY755: $i] :
( ~ ( SV78 @ SY755 )
| ~ ( in @ SY755 @ SV10 ) ) )
= $true )
| ( ( ( dsetconstr @ SV10
@ ^ [SY756: $i] : ( SV78 @ SY756 ) )
!= emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(443,plain,
! [SV81: $i,SV13: $i,SV113: $i] :
( ( ~ ( in @ SV113 @ ( setadjoin @ SV13 @ ( setadjoin @ SV81 @ emptyset ) ) )
| ( SV113 = SV13 )
| ( SV113 = SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(444,plain,
! [SV82: $i,SV14: $i] :
( ( ( ~ ( in @ SV14 @ ( setadjoin @ SV82 @ emptyset ) ) )
= $true )
| ( ( in @ SV82 @ ( setadjoin @ SV14 @ emptyset ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(445,plain,
! [SV83: $i,SV15: $i] :
( ( ( SV15 != SV83 )
= $true )
| ( ( in @ SV15 @ ( setadjoin @ SV83 @ emptyset ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(446,plain,
! [SV84: $i,SV16: $i] :
( ( ( SV16 = SV84 )
= $true )
| ( ( ~ ( in @ SV84 @ ( setadjoin @ SV16 @ emptyset ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(447,plain,
! [SV85: $i,SV17: $i] :
( ( ( ~ ( in @ SV17 @ ( setadjoin @ SV85 @ emptyset ) ) )
= $true )
| ( ( SV17 = SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(448,plain,
! [SV19: $i,SV86: $i] :
( ( ( ~ ( in @ SV86 @ SV19 ) )
= $true )
| ( ( in @ SV86 @ ( powerset @ ( setunion @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(449,plain,
! [SV20: $i,SV114: $i,SV87: $i] :
( ( ~ ( in @ SV87 @ SV114 )
| ~ ( in @ SV114 @ SV20 )
| ( in @ SV87 @ ( setunion @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(450,plain,
! [SV21: $i,SV88: $i] :
( ( ( ~ ( in @ SV88 @ ( powerset @ SV21 ) ) )
= $true )
| ( ( ! [SY759: $i] :
( ~ ( in @ SY759 @ SV88 )
| ( in @ SY759 @ SV21 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(451,plain,
! [SV89: $i,SV25: $i,SV115: $i] :
( ( ~ ( in @ SV115 @ ( setadjoin @ SV25 @ SV89 ) )
| ( SV115 = SV25 )
| ( in @ SV115 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(452,plain,
! [SV26: $i,SV90: $i,SV116: $i] :
( ( ~ ( in @ SV116 @ SV90 )
| ( in @ SV116 @ ( setadjoin @ SV26 @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(453,plain,
! [SV28: $i,SV117: $i] :
( ( ( ~ ( in @ SV117 @ SV28 ) )
= $true )
| ( ( SV28 != emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(454,plain,
! [SV92: $i > $o,SV29: $i,SV118: $i] :
( ( ~ ( in @ SV118 @ SV29 )
| ~ ( SV92 @ SV118 )
| ( ( dsetconstr @ SV29
@ ^ [SY763: $i] : ( SV92 @ SY763 ) )
!= emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(455,plain,
! [SV93: $i] :
( ( ( in @ SV93 @ emptyset )
= $false )
| ( ( ! [Xphi: $o] : Xphi )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(456,plain,
! [SV35: $o,SV119: $i] :
( ( ( ~ ( in @ SV119 @ ( prop2set @ SV35 ) ) )
= $true )
| ( SV35 = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(457,plain,
! [SV120: $i] :
( ( ( ~ ( in @ SV120 @ ( prop2set @ $true ) ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(458,plain,
! [SV121: $i] :
( ( ( ~ ( in @ SV121 @ ( prop2set @ $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(459,plain,
! [SV94: $i > $o,SV36: $i,SV122: $i] :
( ( ~ ( in @ SV122
@ ( dsetconstr @ SV36
@ ^ [SY765: $i] : ( SV94 @ SY765 ) ) )
| ( SV94 @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(460,plain,
! [SV95: $i > $o,SV37: $i,SV123: $i] :
( ( ~ ( in @ SV123
@ ( dsetconstr @ SV37
@ ^ [SY767: $i] : ( SV95 @ SY767 ) ) )
| ( in @ SV123 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(461,plain,
! [SV96: $i > $o,SV38: $i,SV124: $i] :
( ( ~ ( in @ SV124 @ SV38 )
| ~ ( SV96 @ SV124 )
| ( in @ SV124
@ ( dsetconstr @ SV38
@ ^ [SY769: $i] : ( SV96 @ SY769 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(462,plain,
! [SV39: $i] :
( ( ( in @ SV39 @ omega )
= $false )
| ( ( in @ ( setadjoin @ SV39 @ SV39 ) @ omega )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(463,plain,
! [SV41: $i,SV97: $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK34_Xx @ SV97 @ SV41 ) @ SV41 )
| ~ ( SV97 @ ( sK34_Xx @ SV97 @ SV41 ) ) ) )
= $true )
| ( ( ! [SY770: $i] :
( ~ ( SV97 @ SY770 )
| ~ ( in @ SY770 @ SV41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(464,plain,
! [SV42: $i,SV98: $i] :
( ( ( ~ ( ~ ( ~ ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV42 )
| ~ ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV98 ) )
| ~ ( ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV42 )
| ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV98 ) ) ) )
= $true )
| ( ( SV42 = SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(465,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ( in @ SV99 @ ( setunion @ SV43 ) ) )
= $true )
| ( ( ! [SY771: $o] :
( ~ ( ~ ( in @ SV99 @ ( sK29_B @ SY771 @ SV99 @ SV43 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ SY771 @ SV99 @ SV43 ) @ SV43 )
| ~ ~ SY771 ) )
| SY771 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(466,plain,
! [SV100: $i > $o,SV44: $i] :
( ( ( ! [SY772: $i] :
( ~ ( in @ SY772 @ SV44 )
| ( SV100 @ SY772 ) ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK33_Xx @ SV100 @ SV44 ) @ SV44 )
| ~ ~ ( SV100 @ ( sK33_Xx @ SV100 @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(467,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( ~ ( ~ ( SV45 @ ( sK40_Xy @ SV125 @ SV45 ) )
| ~ ( ( SV125
!= ( sK40_Xy @ SV125 @ SV45 ) ) ) )
| ~ ( SV45 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) )
| ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(468,plain,
! [SV126: $i,SV46: $i > $o] :
( ( ( ~ ( ~ ( SV46 @ ( sK55_SY249 @ SV126 @ SV46 ) )
| ~ ( ( SV126
!= ( sK55_SY249 @ SV126 @ SV46 ) ) ) )
| ~ ( SV46 @ SV126 ) )
= $true )
| ( ( ! [SY666: $i] :
( ~ ( SV46 @ SY666 )
| ! [SY667: $i] :
( ~ ( SV46 @ SY667 )
| ( SY666 = SY667 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(469,plain,
! [SV47: $i,SV101: $i] :
( ( ( ~ ( ~ ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV47 )
| ~ ~ ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV101 ) ) )
= $true )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV47 )
| ( in @ SY773 @ SV101 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(470,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK7_Xx @ SV48 ) @ omega )
| ~ ( in @ ( sK7_Xx @ SV48 ) @ SV48 ) )
| ~ ~ ( in @ ( setadjoin @ ( sK7_Xx @ SV48 ) @ ( sK7_Xx @ SV48 ) ) @ SV48 ) ) )
= $true )
| ( ( ~ ( in @ emptyset @ SV48 ) )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(471,plain,
! [SV49: $i,SV102: $i] :
( ( ( ~ ( ~ ( in @ ( sK28_Xx @ SV102 @ SV49 ) @ SV102 )
| ~ ~ ( in @ ( sK28_Xx @ SV102 @ SV49 ) @ SV49 ) ) )
= $true )
| ( ( in @ SV102 @ ( powerset @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(472,plain,
! [SV127: $i,SV50: $i > $o] :
( ( ( ~ ( ~ ( SV50 @ ( sK46_SY225 @ SV127 @ SV50 ) )
| ~ ( ( SV127
!= ( sK46_SY225 @ SV127 @ SV50 ) ) ) )
| ~ ( SV50 @ SV127 ) )
= $true )
| ( ( ! [SY673: $i] :
( ~ ( SV50 @ SY673 )
| ! [SY674: $i] :
( ~ ( SV50 @ SY674 )
| ( SY673 = SY674 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(473,plain,
! [SV128: $i,SV51: $i > $o] :
( ( ( ~ ( ~ ( SV51 @ ( sK22_SY87 @ SV128 @ SV51 ) )
| ~ ( ( SV128
!= ( sK22_SY87 @ SV128 @ SV51 ) ) ) )
| ~ ( SV51 @ SV128 ) )
= $true )
| ( ( SV51 @ ( sK21_Xx @ SV51 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(474,plain,
! [SV52: $i] :
( ( ~ ! [SY676: $i] :
( ~ ( ~ ( in @ ( sK17_Xx @ SY676 @ SV52 ) @ SY676 )
| ~ ~ ( in @ ( sK17_Xx @ SY676 @ SV52 ) @ SV52 ) )
| ! [SX2: $i] :
~ ( in @ SX2 @ SY676 )
| ~ ( ~ ! [SY678: $i] :
( ~ ( in @ SY678 @ ( sK13_B @ SV52 ) )
| ! [SY679: $i] :
( ~ ( in @ SY679 @ SY678 )
| ( in @ SY679 @ ( sK15_SY573 @ SY676 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SY676 @ SV52 ) @ SY678 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SY676 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SY676 @ SV52 ) @ SY676 ) )
| ~ ! [SY680: $i] :
( ~ ( in @ SY680 @ ( sK15_SY573 @ SY676 @ SV52 ) )
| ~ ( in @ SY680 @ SY676 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(475,plain,
! [SV52: $i] :
( ( ~ ~ ( ~ ! [SY681: $i,SY682: $i] :
( ~ ( in @ SY681 @ ( sK13_B @ SV52 ) )
| ~ ( in @ SY682 @ ( sK13_B @ SV52 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY681 )
| ( in @ SX3 @ SY682 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY682 )
| ( in @ SX3 @ SY681 ) ) )
| ~ ~ ( ~ ! [SY685: $i] :
( ~ ( in @ SY685 @ ( sK13_B @ SV52 ) )
| ! [SY686: $i] :
( ~ ( in @ SY686 @ SY685 )
| ( in @ SY686 @ SV52 ) ) )
| ~ ! [SY687: $i,SY688: $i] :
( ~ ( in @ SY687 @ SV52 )
| ~ ( in @ SY688 @ SV52 )
| ~ ( ~ ( in @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ~ ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) )
| ~ ( ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) ) ) )
| ( SY687 = SY688 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(476,plain,
! [SV103: $i,SV53: $i] :
( ( ( SV53 != SV103 )
= $true )
| ( ( ! [SY774: $i > $o,SY775: $i > $o] :
( ~ ( ~ ( in @ ( sK60_Xx @ SY775 @ SY774 @ SV103 @ SV53 ) @ SV53 )
| ~ ~ ( ~ ( in @ ( sK61_SY606 @ SY775 @ SY774 @ SV103 @ SV53 ) @ SV103 )
| ~ ~ ( ( ( sK60_Xx @ SY775 @ SY774 @ SV103 @ SV53 )
!= ( sK61_SY606 @ SY775 @ SY774 @ SV103 @ SV53 ) )
| ~ ~ ( ~ ( ~ ( SY774 @ ( sK60_Xx @ SY775 @ SY774 @ SV103 @ SV53 ) )
| ~ ( SY775 @ ( sK61_SY606 @ SY775 @ SY774 @ SV103 @ SV53 ) ) )
| ~ ( ( SY774 @ ( sK60_Xx @ SY775 @ SY774 @ SV103 @ SV53 ) )
| ( SY775 @ ( sK61_SY606 @ SY775 @ SY774 @ SV103 @ SV53 ) ) ) ) ) ) )
| ( ( dsetconstr @ SV53
@ ^ [SX4: $i] : ( SY774 @ SX4 ) )
= ( dsetconstr @ SV103
@ ^ [SX4: $i] : ( SY775 @ SX4 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(477,plain,
! [SV54: $i,SV104: $i] :
( ( ( ~ ( ~ ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV54 )
| ~ ~ ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV104 ) ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 )
| ~ ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) )
| ( SV54 = SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(478,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK53_Xx @ SX1 @ SX0 )
!= ( sK54_SY604 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK54_SY604 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK53_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK54_SY604 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX0 @ ( sK52_SY234 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK52_SY234 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX1 @ SX2 )
| ( ( sK51_SY236 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX1 @ ( sK51_SY236 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(479,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ~ ( ( ( sK49_Xx @ SX1 @ SX0 )
!= ( sK50_SY602 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ~ ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ~ ( SX1 @ ( sK50_SY602 @ SX1 @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK49_Xx @ SX1 @ SX0 ) )
| ( SX1 @ ( sK50_SY602 @ SX1 @ SX0 ) ) ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( SX1 @ ( sK48_SY237 @ SX2 @ SX1 @ SX0 ) )
| ~ ( ( SX2
!= ( sK48_SY237 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( SX1 @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( SX0 @ SX2 )
| ( ( sK47_SY233 @ SX1 @ SX0 )
= SX2 ) )
| ~ ( SX0 @ ( sK47_SY233 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(480,plain,
! [SV55: $i] :
( ( ~ ! [SY695: $i > $o,SY696: $i] :
( ~ ( in @ SY696 @ SV55 )
| ~ ( SY695 @ SY696 )
| ( in @ SY696
@ ( dsetconstr @ SV55
@ ^ [SX3: $i] : ( SY695 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(481,plain,
! [SV55: $i] :
( ( ~ ! [SY698: $i > $o,SY699: $i] :
( ~ ( in @ SY699 @ SV55 )
| ~ ( in @ SY699
@ ( dsetconstr @ SV55
@ ^ [SX3: $i] : ( SY698 @ SX3 ) ) )
| ( SY698 @ SY699 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(482,plain,
! [SV105: $i,SV56: $i] :
( ( ( SV56 != SV105 )
= $true )
| ( ( ~ ( ~ ! [SY778: $i,SY779: $i] :
( ( SY778 != SY779 )
| ~ ( in @ SY778 @ SV56 )
| ( in @ SY779 @ SV105 ) )
| ~ ! [SY780: $i,SY781: $i] :
( ( SY780 != SY781 )
| ~ ( in @ SY781 @ SV105 )
| ( in @ SY780 @ SV56 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(483,plain,
! [SV106: $i > $o,SV57: $i] :
( ( ( ! [SY782: $i] :
( ~ ( in @ SY782 @ SV57 )
| ( SV106 @ SY782 ) ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK36_Xx @ SV106 @ SV57 ) @ SV57 )
| ~ ~ ( SV106 @ ( sK36_Xx @ SV106 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(484,plain,
! [SV58: $i > $i > $o,SV107: $i] :
( ( ( ~ ( ~ ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
| ~ ! [SY783: $i] :
( ~ ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SY783 @ SV107 @ SV58 ) )
| ~ ( ( SY783
!= ( sK11_SY568 @ SY783 @ SV107 @ SV58 ) ) ) )
| ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SY783 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(485,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( ~ ( ~ ( SV59 @ ( sK20_SY75 @ SV129 @ SV59 ) )
| ~ ( ( SV129
!= ( sK20_SY75 @ SV129 @ SV59 ) ) ) )
| ~ ( SV59 @ SV129 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) )
| ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(486,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV130 ) )
= $true )
| ( ( ~ ( ~ ( SV60 @ ( sK42_Xx @ SV60 ) )
| ~ ~ ( ~ ( SV60 @ ( sK43_SY599 @ SV60 ) )
| ~ ( ( ( sK42_Xx @ SV60 )
!= ( sK43_SY599 @ SV60 ) ) ) ) )
| ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(487,plain,
! [SV108: $i > $o,SV61: $i] :
( ( ( ! [SY787: $i] :
( ~ ( in @ SY787 @ SV61 )
| ( SV108 @ SY787 ) ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK38_Xx @ SV108 @ SV61 ) @ SV61 )
| ~ ~ ( SV108 @ ( sK38_Xx @ SV108 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(488,plain,
! [SV62: $i > $o,SV109: $i > $o] :
( ( ( ~ ( ( ( sK58_Xx @ SV109 @ SV62 )
!= ( sK59_SY605 @ SV109 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ~ ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) )
| ~ ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) ) ) ) )
= $true )
| ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(489,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ~ ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
| ~ ( ~ ~ ( ~ ( ( SV131 = SV63 )
| ( in @ SV131 @ SV110 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SV131 = SV63 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
| ~ ~ ( ~ ! [SY805: $o] :
( ~ SY805
| ( in @ SV131 @ SV110 )
| SY805 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(490,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( in @ SX1 @ SX2 )
| ~ ( in @ SX2 @ SX0 ) )
| ( in @ SX1 @ ( setunion @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(491,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)],[417]) ).
thf(492,plain,
! [SV64: $i] :
( ( ~ ! [SY730: $i,SY731: $i] :
( ~ ( in @ SY731 @ ( setadjoin @ SV64 @ SY730 ) )
| ( SY731 = SV64 )
| ( in @ SY731 @ SY730 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(493,plain,
! [SV64: $i] :
( ( ~ ~ ( ~ ! [SY732: $i,SY733: $i] :
( ( SY733 != SV64 )
| ( in @ SY733 @ ( setadjoin @ SV64 @ SY732 ) ) )
| ~ ! [SY734: $i,SY735: $i] :
( ~ ( in @ SY735 @ SY734 )
| ( in @ SY735 @ ( setadjoin @ SV64 @ SY734 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(494,plain,
! [SV65: $i,SV111: $i > $o] :
( ( ( ~ ( ~ ( SV111 @ ( sK37_Xx @ SV111 @ SV65 ) )
| ~ ( in @ ( sK37_Xx @ SV111 @ SV65 ) @ SV65 ) ) )
= $true )
| ( ( ! [SY797: $i] :
( ~ ( in @ SY797 @ SV65 )
| ~ ( SV111 @ SY797 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(495,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)],[420]) ).
thf(496,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ ( powerset @ SX0 ) )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX1 )
| ( in @ SX2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(497,plain,
! [SV66: $i,SV112: $i > $o] :
( ( ( ~ ( ~ ( SV112 @ ( sK35_Xx @ SV112 @ SV66 ) )
| ~ ( in @ ( sK35_Xx @ SV112 @ SV66 ) @ SV66 ) ) )
= $true )
| ( ( ! [SY798: $i] :
( ~ ( in @ SY798 @ SV66 )
| ~ ( SV112 @ SY798 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(498,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_SY0 )
| ( in @ SX0 @ sK2_SY558 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(499,plain,
( ( ~ ( ~ ( in @ sK3_SY562 @ sK1_SY0 )
| ~ ~ ( in @ sK3_SY562 @ sK2_SY558 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(500,plain,
! [SV67: $i > $o,SV132: $i] :
( ( ( ~ ( ~ ( ( ( sK45_Xy @ SV132 @ SV67 )
!= SV132 )
| ~ ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) ) )
| ~ ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
| ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) )
| ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(501,plain,
! [SV68: $i,SV133: $i] :
( ( ( ~ ( in @ SV133 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK12_B @ SV68 ) @ SV68 )
| ~ ! [SY743: $i] :
( ~ ( in @ SY743 @ ( sK12_B @ SV68 ) )
| ~ ( in @ SY743 @ SV68 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(502,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( ~ ( ~ ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
| ~ ( ( SV134
!= ( sK31_SY143 @ SV134 @ SV69 ) ) ) )
| ~ ( SV69 @ SV134 ) )
= $true )
| ( ( ~ ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) )
| ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(503,plain,
! [SV135: $i,SV70: $i > $o] :
( ( ( ~ ( ~ ( SV70 @ ( sK18_SY58 @ SV135 @ SV70 ) )
| ~ ( ( SV135
!= ( sK18_SY58 @ SV135 @ SV70 ) ) ) )
| ~ ( SV70 @ SV135 ) )
= $true )
| ( ( SV70
@ ( descr
@ ^ [SY748: $i] : ( SV70 @ SY748 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(504,plain,
! [SV71: $i,SV1: $i] :
( ( ( SV1 = SV71 )
= $false )
| ( ( ! [SY749: $i] :
( ~ ( in @ SY749 @ SV1 )
| ( in @ SY749 @ SV71 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(505,plain,
! [SV72: $i,SV2: $i] :
( ( ( SV2 = SV72 )
= $false )
| ( ( ! [SY750: $i] :
( ~ ( in @ SY750 @ SV72 )
| ( in @ SY750 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(506,plain,
! [SV73: $i,SV3: $i] :
( ( ( SV3 = SV73 )
= $false )
| ( ( ( setunion @ SV3 )
= ( setunion @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(507,plain,
! [SV74: $i,SV4: $i] :
( ( ( SV4 = SV74 )
= $false )
| ( ( ( powerset @ SV4 )
= ( powerset @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(508,plain,
! [SV75: $i,SV5: $i] :
( ( ( SV5 = SV75 )
= $false )
| ( ( ! [SY751: $i,SY752: $i] :
( ( SY751 != SY752 )
| ( ( setadjoin @ SV5 @ SY751 )
= ( setadjoin @ SV75 @ SY752 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(509,plain,
! [SV76: $i,SV6: $i] :
( ( ( SV6 = SV76 )
= $false )
| ( ( ! [SY753: $i,SY754: $i] :
( ( SY753 != SY754 )
| ~ ( in @ SY753 @ SV6 )
| ( in @ SY754 @ SV76 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(510,plain,
! [SV9: $i > $o,SV77: $i] :
( ( ( in @ SV77 @ emptyset )
= $false )
| ( ( SV9 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(511,plain,
! [SV10: $i,SV136: $i,SV78: $i > $o] :
( ( ( ~ ( SV78 @ SV136 )
| ~ ( in @ SV136 @ SV10 ) )
= $true )
| ( ( ( dsetconstr @ SV10
@ ^ [SY756: $i] : ( SV78 @ SY756 ) )
!= emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(512,plain,
! [SV81: $i,SV13: $i,SV113: $i] :
( ( ( ~ ( in @ SV113 @ ( setadjoin @ SV13 @ ( setadjoin @ SV81 @ emptyset ) ) ) )
= $true )
| ( ( ( SV113 = SV13 )
| ( SV113 = SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(513,plain,
! [SV82: $i,SV14: $i] :
( ( ( in @ SV14 @ ( setadjoin @ SV82 @ emptyset ) )
= $false )
| ( ( in @ SV82 @ ( setadjoin @ SV14 @ emptyset ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(514,plain,
! [SV83: $i,SV15: $i] :
( ( ( SV15 = SV83 )
= $false )
| ( ( in @ SV15 @ ( setadjoin @ SV83 @ emptyset ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(515,plain,
! [SV16: $i,SV84: $i] :
( ( ( in @ SV84 @ ( setadjoin @ SV16 @ emptyset ) )
= $false )
| ( ( SV16 = SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(516,plain,
! [SV85: $i,SV17: $i] :
( ( ( in @ SV17 @ ( setadjoin @ SV85 @ emptyset ) )
= $false )
| ( ( SV17 = SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(517,plain,
! [SV19: $i,SV86: $i] :
( ( ( in @ SV86 @ SV19 )
= $false )
| ( ( in @ SV86 @ ( powerset @ ( setunion @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(518,plain,
! [SV20: $i,SV114: $i,SV87: $i] :
( ( ( ~ ( in @ SV87 @ SV114 ) )
= $true )
| ( ( ~ ( in @ SV114 @ SV20 )
| ( in @ SV87 @ ( setunion @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(519,plain,
! [SV21: $i,SV88: $i] :
( ( ( in @ SV88 @ ( powerset @ SV21 ) )
= $false )
| ( ( ! [SY759: $i] :
( ~ ( in @ SY759 @ SV88 )
| ( in @ SY759 @ SV21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(520,plain,
! [SV89: $i,SV25: $i,SV115: $i] :
( ( ( ~ ( in @ SV115 @ ( setadjoin @ SV25 @ SV89 ) ) )
= $true )
| ( ( ( SV115 = SV25 )
| ( in @ SV115 @ SV89 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[451]) ).
thf(521,plain,
! [SV26: $i,SV90: $i,SV116: $i] :
( ( ( ~ ( in @ SV116 @ SV90 ) )
= $true )
| ( ( in @ SV116 @ ( setadjoin @ SV26 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(522,plain,
! [SV28: $i,SV117: $i] :
( ( ( in @ SV117 @ SV28 )
= $false )
| ( ( SV28 != emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(523,plain,
! [SV92: $i > $o,SV29: $i,SV118: $i] :
( ( ( ~ ( in @ SV118 @ SV29 ) )
= $true )
| ( ( ~ ( SV92 @ SV118 )
| ( ( dsetconstr @ SV29
@ ^ [SY763: $i] : ( SV92 @ SY763 ) )
!= emptyset ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(524,plain,
! [SV93: $i,SV137: $o] :
( ( SV137 = $true )
| ( ( in @ SV93 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[455]) ).
thf(525,plain,
! [SV93: $i] :
( ( $true = $true )
| ( ( in @ SV93 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[455]) ).
thf(526,plain,
! [SV93: $i] :
( ( $false = $true )
| ( ( in @ SV93 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[455]) ).
thf(527,plain,
! [SV35: $o,SV119: $i] :
( ( ( in @ SV119 @ ( prop2set @ SV35 ) )
= $false )
| ( SV35 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(528,plain,
! [SV120: $i] :
( ( ( in @ SV120 @ ( prop2set @ $true ) )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(529,plain,
! [SV121: $i] :
( ( ( in @ SV121 @ ( prop2set @ $false ) )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(530,plain,
! [SV94: $i > $o,SV36: $i,SV122: $i] :
( ( ( ~ ( in @ SV122
@ ( dsetconstr @ SV36
@ ^ [SY765: $i] : ( SV94 @ SY765 ) ) ) )
= $true )
| ( ( SV94 @ SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(531,plain,
! [SV95: $i > $o,SV37: $i,SV123: $i] :
( ( ( ~ ( in @ SV123
@ ( dsetconstr @ SV37
@ ^ [SY767: $i] : ( SV95 @ SY767 ) ) ) )
= $true )
| ( ( in @ SV123 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(532,plain,
! [SV96: $i > $o,SV38: $i,SV124: $i] :
( ( ( ~ ( in @ SV124 @ SV38 ) )
= $true )
| ( ( ~ ( SV96 @ SV124 )
| ( in @ SV124
@ ( dsetconstr @ SV38
@ ^ [SY769: $i] : ( SV96 @ SY769 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(533,plain,
! [SV41: $i,SV97: $i > $o] :
( ( ( ~ ( in @ ( sK34_Xx @ SV97 @ SV41 ) @ SV41 )
| ~ ( SV97 @ ( sK34_Xx @ SV97 @ SV41 ) ) )
= $false )
| ( ( ! [SY770: $i] :
( ~ ( SV97 @ SY770 )
| ~ ( in @ SY770 @ SV41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(534,plain,
! [SV42: $i,SV98: $i] :
( ( ( ~ ( ~ ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV42 )
| ~ ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV98 ) )
| ~ ( ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV42 )
| ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV98 ) ) )
= $false )
| ( ( SV42 = SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(535,plain,
! [SV43: $i,SV99: $i] :
( ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false )
| ( ( ! [SY771: $o] :
( ~ ( ~ ( in @ SV99 @ ( sK29_B @ SY771 @ SV99 @ SV43 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ SY771 @ SV99 @ SV43 ) @ SV43 )
| ~ ~ SY771 ) )
| SY771 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(536,plain,
! [SV100: $i > $o,SV44: $i,SV138: $i] :
( ( ( ~ ( in @ SV138 @ SV44 )
| ( SV100 @ SV138 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK33_Xx @ SV100 @ SV44 ) @ SV44 )
| ~ ~ ( SV100 @ ( sK33_Xx @ SV100 @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(537,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( ~ ( ~ ( SV45 @ ( sK40_Xy @ SV125 @ SV45 ) )
| ~ ( ( SV125
!= ( sK40_Xy @ SV125 @ SV45 ) ) ) ) )
= $true )
| ( ( ~ ( SV45 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) )
| ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(538,plain,
! [SV126: $i,SV46: $i > $o] :
( ( ( ~ ( ~ ( SV46 @ ( sK55_SY249 @ SV126 @ SV46 ) )
| ~ ( ( SV126
!= ( sK55_SY249 @ SV126 @ SV46 ) ) ) ) )
= $true )
| ( ( ~ ( SV46 @ SV126 ) )
= $true )
| ( ( ! [SY666: $i] :
( ~ ( SV46 @ SY666 )
| ! [SY667: $i] :
( ~ ( SV46 @ SY667 )
| ( SY666 = SY667 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(539,plain,
! [SV47: $i,SV101: $i] :
( ( ( ~ ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV47 )
| ~ ~ ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV101 ) )
= $false )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV47 )
| ( in @ SY773 @ SV101 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(540,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK7_Xx @ SV48 ) @ omega )
| ~ ( in @ ( sK7_Xx @ SV48 ) @ SV48 ) )
| ~ ~ ( in @ ( setadjoin @ ( sK7_Xx @ SV48 ) @ ( sK7_Xx @ SV48 ) ) @ SV48 ) )
= $false )
| ( ( ~ ( in @ emptyset @ SV48 ) )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(541,plain,
! [SV49: $i,SV102: $i] :
( ( ( ~ ( in @ ( sK28_Xx @ SV102 @ SV49 ) @ SV102 )
| ~ ~ ( in @ ( sK28_Xx @ SV102 @ SV49 ) @ SV49 ) )
= $false )
| ( ( in @ SV102 @ ( powerset @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(542,plain,
! [SV127: $i,SV50: $i > $o] :
( ( ( ~ ( ~ ( SV50 @ ( sK46_SY225 @ SV127 @ SV50 ) )
| ~ ( ( SV127
!= ( sK46_SY225 @ SV127 @ SV50 ) ) ) ) )
= $true )
| ( ( ~ ( SV50 @ SV127 ) )
= $true )
| ( ( ! [SY673: $i] :
( ~ ( SV50 @ SY673 )
| ! [SY674: $i] :
( ~ ( SV50 @ SY674 )
| ( SY673 = SY674 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(543,plain,
! [SV128: $i,SV51: $i > $o] :
( ( ( ~ ( ~ ( SV51 @ ( sK22_SY87 @ SV128 @ SV51 ) )
| ~ ( ( SV128
!= ( sK22_SY87 @ SV128 @ SV51 ) ) ) ) )
= $true )
| ( ( ~ ( SV51 @ SV128 ) )
= $true )
| ( ( SV51 @ ( sK21_Xx @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(544,plain,
! [SV52: $i] :
( ( ! [SY676: $i] :
( ~ ( ~ ( in @ ( sK17_Xx @ SY676 @ SV52 ) @ SY676 )
| ~ ~ ( in @ ( sK17_Xx @ SY676 @ SV52 ) @ SV52 ) )
| ! [SX2: $i] :
~ ( in @ SX2 @ SY676 )
| ~ ( ~ ! [SY678: $i] :
( ~ ( in @ SY678 @ ( sK13_B @ SV52 ) )
| ! [SY679: $i] :
( ~ ( in @ SY679 @ SY678 )
| ( in @ SY679 @ ( sK15_SY573 @ SY676 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SY676 @ SV52 ) @ SY678 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SY676 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SY676 @ SV52 ) @ SY676 ) )
| ~ ! [SY680: $i] :
( ~ ( in @ SY680 @ ( sK15_SY573 @ SY676 @ SV52 ) )
| ~ ( in @ SY680 @ SY676 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(545,plain,
! [SV52: $i] :
( ( ~ ( ~ ! [SY681: $i,SY682: $i] :
( ~ ( in @ SY681 @ ( sK13_B @ SV52 ) )
| ~ ( in @ SY682 @ ( sK13_B @ SV52 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY681 )
| ( in @ SX3 @ SY682 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY682 )
| ( in @ SX3 @ SY681 ) ) )
| ~ ~ ( ~ ! [SY685: $i] :
( ~ ( in @ SY685 @ ( sK13_B @ SV52 ) )
| ! [SY686: $i] :
( ~ ( in @ SY686 @ SY685 )
| ( in @ SY686 @ SV52 ) ) )
| ~ ! [SY687: $i,SY688: $i] :
( ~ ( in @ SY687 @ SV52 )
| ~ ( in @ SY688 @ SV52 )
| ~ ( ~ ( in @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ~ ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) )
| ~ ( ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) ) ) )
| ( SY687 = SY688 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(546,plain,
! [SV103: $i,SV53: $i] :
( ( ( SV53 = SV103 )
= $false )
| ( ( ! [SY774: $i > $o,SY775: $i > $o] :
( ~ ( ~ ( in @ ( sK60_Xx @ SY775 @ SY774 @ SV103 @ SV53 ) @ SV53 )
| ~ ~ ( ~ ( in @ ( sK61_SY606 @ SY775 @ SY774 @ SV103 @ SV53 ) @ SV103 )
| ~ ~ ( ( ( sK60_Xx @ SY775 @ SY774 @ SV103 @ SV53 )
!= ( sK61_SY606 @ SY775 @ SY774 @ SV103 @ SV53 ) )
| ~ ~ ( ~ ( ~ ( SY774 @ ( sK60_Xx @ SY775 @ SY774 @ SV103 @ SV53 ) )
| ~ ( SY775 @ ( sK61_SY606 @ SY775 @ SY774 @ SV103 @ SV53 ) ) )
| ~ ( ( SY774 @ ( sK60_Xx @ SY775 @ SY774 @ SV103 @ SV53 ) )
| ( SY775 @ ( sK61_SY606 @ SY775 @ SY774 @ SV103 @ SV53 ) ) ) ) ) ) )
| ( ( dsetconstr @ SV53
@ ^ [SX4: $i] : ( SY774 @ SX4 ) )
= ( dsetconstr @ SV103
@ ^ [SX4: $i] : ( SY775 @ SX4 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(547,plain,
! [SV54: $i,SV104: $i] :
( ( ( ~ ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV54 )
| ~ ~ ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV104 ) )
= $false )
| ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 )
| ~ ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) )
| ( SV54 = SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(548,plain,
! [SV139: $i > $o] :
( ( ! [SY807: $i > $o] :
( ~ ( ( ( sK53_Xx @ SY807 @ SV139 )
!= ( sK54_SY604 @ SY807 @ SV139 ) )
| ~ ~ ( ~ ( ~ ( SV139 @ ( sK53_Xx @ SY807 @ SV139 ) )
| ~ ( SY807 @ ( sK54_SY604 @ SY807 @ SV139 ) ) )
| ~ ( ( SV139 @ ( sK53_Xx @ SY807 @ SV139 ) )
| ( SY807 @ ( sK54_SY604 @ SY807 @ SV139 ) ) ) ) )
| ! [SY808: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY808 @ SY807 @ SV139 ) )
| ~ ( ( SY808
!= ( sK52_SY234 @ SY808 @ SY807 @ SV139 ) ) ) )
| ~ ( SV139 @ SY808 ) )
| ~ ( ~ ! [SY809: $i] :
( ~ ( SY807 @ SY809 )
| ( ( sK51_SY236 @ SY807 @ SV139 )
= SY809 ) )
| ~ ( SY807 @ ( sK51_SY236 @ SY807 @ SV139 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(549,plain,
! [SV140: $i > $o] :
( ( ! [SY810: $i > $o] :
( ~ ( ( ( sK49_Xx @ SY810 @ SV140 )
!= ( sK50_SY602 @ SY810 @ SV140 ) )
| ~ ~ ( ~ ( ~ ( SV140 @ ( sK49_Xx @ SY810 @ SV140 ) )
| ~ ( SY810 @ ( sK50_SY602 @ SY810 @ SV140 ) ) )
| ~ ( ( SV140 @ ( sK49_Xx @ SY810 @ SV140 ) )
| ( SY810 @ ( sK50_SY602 @ SY810 @ SV140 ) ) ) ) )
| ! [SY811: $i] :
( ~ ( ~ ( SY810 @ ( sK48_SY237 @ SY811 @ SY810 @ SV140 ) )
| ~ ( ( SY811
!= ( sK48_SY237 @ SY811 @ SY810 @ SV140 ) ) ) )
| ~ ( SY810 @ SY811 ) )
| ~ ( ~ ! [SY812: $i] :
( ~ ( SV140 @ SY812 )
| ( ( sK47_SY233 @ SY810 @ SV140 )
= SY812 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SY810 @ SV140 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(550,plain,
! [SV55: $i] :
( ( ! [SY695: $i > $o,SY696: $i] :
( ~ ( in @ SY696 @ SV55 )
| ~ ( SY695 @ SY696 )
| ( in @ SY696
@ ( dsetconstr @ SV55
@ ^ [SX3: $i] : ( SY695 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[480]) ).
thf(551,plain,
! [SV55: $i] :
( ( ! [SY698: $i > $o,SY699: $i] :
( ~ ( in @ SY699 @ SV55 )
| ~ ( in @ SY699
@ ( dsetconstr @ SV55
@ ^ [SX3: $i] : ( SY698 @ SX3 ) ) )
| ( SY698 @ SY699 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(552,plain,
! [SV105: $i,SV56: $i] :
( ( ( SV56 = SV105 )
= $false )
| ( ( ~ ( ~ ! [SY778: $i,SY779: $i] :
( ( SY778 != SY779 )
| ~ ( in @ SY778 @ SV56 )
| ( in @ SY779 @ SV105 ) )
| ~ ! [SY780: $i,SY781: $i] :
( ( SY780 != SY781 )
| ~ ( in @ SY781 @ SV105 )
| ( in @ SY780 @ SV56 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(553,plain,
! [SV106: $i > $o,SV57: $i,SV141: $i] :
( ( ( ~ ( in @ SV141 @ SV57 )
| ( SV106 @ SV141 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK36_Xx @ SV106 @ SV57 ) @ SV57 )
| ~ ~ ( SV106 @ ( sK36_Xx @ SV106 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(554,plain,
! [SV58: $i > $i > $o,SV107: $i] :
( ( ( ~ ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
| ~ ! [SY783: $i] :
( ~ ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SY783 @ SV107 @ SV58 ) )
| ~ ( ( SY783
!= ( sK11_SY568 @ SY783 @ SV107 @ SV58 ) ) ) )
| ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SY783 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(555,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( ~ ( ~ ( SV59 @ ( sK20_SY75 @ SV129 @ SV59 ) )
| ~ ( ( SV129
!= ( sK20_SY75 @ SV129 @ SV59 ) ) ) ) )
= $true )
| ( ( ~ ( SV59 @ SV129 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) )
| ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(556,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( SV60 @ SV130 )
= $false )
| ( ( ~ ( ~ ( SV60 @ ( sK42_Xx @ SV60 ) )
| ~ ~ ( ~ ( SV60 @ ( sK43_SY599 @ SV60 ) )
| ~ ( ( ( sK42_Xx @ SV60 )
!= ( sK43_SY599 @ SV60 ) ) ) ) )
| ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(557,plain,
! [SV108: $i > $o,SV61: $i,SV142: $i] :
( ( ( ~ ( in @ SV142 @ SV61 )
| ( SV108 @ SV142 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK38_Xx @ SV108 @ SV61 ) @ SV61 )
| ~ ~ ( SV108 @ ( sK38_Xx @ SV108 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(558,plain,
! [SV62: $i > $o,SV109: $i > $o] :
( ( ( ( ( sK58_Xx @ SV109 @ SV62 )
!= ( sK59_SY605 @ SV109 @ SV62 ) )
| ~ ~ ( ~ ( ~ ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ~ ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) )
| ~ ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) ) ) )
= $false )
| ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(559,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV131 = SV63 )
| ( in @ SV131 @ SV110 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SV131 = SV63 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
| ~ ~ ( ~ ! [SY805: $o] :
( ~ SY805
| ( in @ SV131 @ SV110 )
| SY805 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(560,plain,
! [SV143: $i] :
( ( ! [SY813: $i] :
( ! [SY814: $i] :
( ~ ( in @ SY813 @ SY814 )
| ~ ( in @ SY814 @ SV143 ) )
| ( in @ SY813 @ ( setunion @ SV143 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(561,plain,
! [SV144: $i] :
( ( ! [SY815: $i] :
( ~ ( in @ SY815 @ ( setunion @ SV144 ) )
| ~ ( ~ ( in @ SY815 @ ( sK6_B @ SY815 @ SV144 ) )
| ~ ( in @ ( sK6_B @ SY815 @ SV144 ) @ SV144 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(562,plain,
! [SV64: $i] :
( ( ! [SY730: $i,SY731: $i] :
( ~ ( in @ SY731 @ ( setadjoin @ SV64 @ SY730 ) )
| ( SY731 = SV64 )
| ( in @ SY731 @ SY730 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(563,plain,
! [SV64: $i] :
( ( ~ ( ~ ! [SY732: $i,SY733: $i] :
( ( SY733 != SV64 )
| ( in @ SY733 @ ( setadjoin @ SV64 @ SY732 ) ) )
| ~ ! [SY734: $i,SY735: $i] :
( ~ ( in @ SY735 @ SY734 )
| ( in @ SY735 @ ( setadjoin @ SV64 @ SY734 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(564,plain,
! [SV65: $i,SV111: $i > $o] :
( ( ( ~ ( SV111 @ ( sK37_Xx @ SV111 @ SV65 ) )
| ~ ( in @ ( sK37_Xx @ SV111 @ SV65 ) @ SV65 ) )
= $false )
| ( ( ! [SY797: $i] :
( ~ ( in @ SY797 @ SV65 )
| ~ ( SV111 @ SY797 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(565,plain,
! [SV145: $i] :
( ( ! [SY816: $i] :
( ~ ( ~ ( in @ ( sK5_Xx @ SY816 @ SV145 ) @ SY816 )
| ~ ~ ( in @ ( sK5_Xx @ SY816 @ SV145 ) @ SV145 ) )
| ( in @ SY816 @ ( powerset @ SV145 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(566,plain,
! [SV146: $i] :
( ( ! [SY817: $i] :
( ~ ( in @ SY817 @ ( powerset @ SV146 ) )
| ! [SY818: $i] :
( ~ ( in @ SY818 @ SY817 )
| ( in @ SY818 @ SV146 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(567,plain,
! [SV66: $i,SV112: $i > $o] :
( ( ( ~ ( SV112 @ ( sK35_Xx @ SV112 @ SV66 ) )
| ~ ( in @ ( sK35_Xx @ SV112 @ SV66 ) @ SV66 ) )
= $false )
| ( ( ! [SY798: $i] :
( ~ ( in @ SY798 @ SV66 )
| ~ ( SV112 @ SY798 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(568,plain,
! [SV147: $i] :
( ( ~ ( in @ SV147 @ sK1_SY0 )
| ( in @ SV147 @ sK2_SY558 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(569,plain,
( ( ~ ( in @ sK3_SY562 @ sK1_SY0 )
| ~ ~ ( in @ sK3_SY562 @ sK2_SY558 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(570,plain,
! [SV67: $i > $o,SV132: $i] :
( ( ( ~ ( ( ( sK45_Xy @ SV132 @ SV67 )
!= SV132 )
| ~ ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) ) )
| ~ ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
| ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) )
| ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(571,plain,
! [SV68: $i,SV133: $i] :
( ( ( in @ SV133 @ SV68 )
= $false )
| ( ( ~ ( ~ ( in @ ( sK12_B @ SV68 ) @ SV68 )
| ~ ! [SY743: $i] :
( ~ ( in @ SY743 @ ( sK12_B @ SV68 ) )
| ~ ( in @ SY743 @ SV68 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(572,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( ~ ( ~ ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
| ~ ( ( SV134
!= ( sK31_SY143 @ SV134 @ SV69 ) ) ) ) )
= $true )
| ( ( ~ ( SV69 @ SV134 ) )
= $true )
| ( ( ~ ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) )
| ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(573,plain,
! [SV135: $i,SV70: $i > $o] :
( ( ( ~ ( ~ ( SV70 @ ( sK18_SY58 @ SV135 @ SV70 ) )
| ~ ( ( SV135
!= ( sK18_SY58 @ SV135 @ SV70 ) ) ) ) )
= $true )
| ( ( ~ ( SV70 @ SV135 ) )
= $true )
| ( ( SV70
@ ( descr
@ ^ [SY748: $i] : ( SV70 @ SY748 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(574,plain,
! [SV71: $i,SV1: $i,SV148: $i] :
( ( ( ~ ( in @ SV148 @ SV1 )
| ( in @ SV148 @ SV71 ) )
= $true )
| ( ( SV1 = SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(575,plain,
! [SV2: $i,SV72: $i,SV149: $i] :
( ( ( ~ ( in @ SV149 @ SV72 )
| ( in @ SV149 @ SV2 ) )
= $true )
| ( ( SV2 = SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(576,plain,
! [SV75: $i,SV5: $i,SV150: $i] :
( ( ( ! [SY819: $i] :
( ( SV150 != SY819 )
| ( ( setadjoin @ SV5 @ SV150 )
= ( setadjoin @ SV75 @ SY819 ) ) ) )
= $true )
| ( ( SV5 = SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(577,plain,
! [SV76: $i,SV6: $i,SV151: $i] :
( ( ( ! [SY820: $i] :
( ( SV151 != SY820 )
| ~ ( in @ SV151 @ SV6 )
| ( in @ SY820 @ SV76 ) ) )
= $true )
| ( ( SV6 = SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(578,plain,
! [SV10: $i,SV136: $i,SV78: $i > $o] :
( ( ( ~ ( SV78 @ SV136 ) )
= $true )
| ( ( ~ ( in @ SV136 @ SV10 ) )
= $true )
| ( ( ( dsetconstr @ SV10
@ ^ [SY756: $i] : ( SV78 @ SY756 ) )
!= emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[511]) ).
thf(579,plain,
! [SV81: $i,SV13: $i,SV113: $i] :
( ( ( in @ SV113 @ ( setadjoin @ SV13 @ ( setadjoin @ SV81 @ emptyset ) ) )
= $false )
| ( ( ( SV113 = SV13 )
| ( SV113 = SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(580,plain,
! [SV20: $i,SV114: $i,SV87: $i] :
( ( ( in @ SV87 @ SV114 )
= $false )
| ( ( ~ ( in @ SV114 @ SV20 )
| ( in @ SV87 @ ( setunion @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(581,plain,
! [SV21: $i,SV88: $i,SV152: $i] :
( ( ( ~ ( in @ SV152 @ SV88 )
| ( in @ SV152 @ SV21 ) )
= $true )
| ( ( in @ SV88 @ ( powerset @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(582,plain,
! [SV89: $i,SV25: $i,SV115: $i] :
( ( ( in @ SV115 @ ( setadjoin @ SV25 @ SV89 ) )
= $false )
| ( ( ( SV115 = SV25 )
| ( in @ SV115 @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(583,plain,
! [SV26: $i,SV90: $i,SV116: $i] :
( ( ( in @ SV116 @ SV90 )
= $false )
| ( ( in @ SV116 @ ( setadjoin @ SV26 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(584,plain,
! [SV117: $i,SV28: $i] :
( ( ( SV28 = emptyset )
= $false )
| ( ( in @ SV117 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(585,plain,
! [SV92: $i > $o,SV29: $i,SV118: $i] :
( ( ( in @ SV118 @ SV29 )
= $false )
| ( ( ~ ( SV92 @ SV118 )
| ( ( dsetconstr @ SV29
@ ^ [SY763: $i] : ( SV92 @ SY763 ) )
!= emptyset ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(586,plain,
! [SV94: $i > $o,SV36: $i,SV122: $i] :
( ( ( in @ SV122
@ ( dsetconstr @ SV36
@ ^ [SY765: $i] : ( SV94 @ SY765 ) ) )
= $false )
| ( ( SV94 @ SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(587,plain,
! [SV95: $i > $o,SV37: $i,SV123: $i] :
( ( ( in @ SV123
@ ( dsetconstr @ SV37
@ ^ [SY767: $i] : ( SV95 @ SY767 ) ) )
= $false )
| ( ( in @ SV123 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(588,plain,
! [SV96: $i > $o,SV38: $i,SV124: $i] :
( ( ( in @ SV124 @ SV38 )
= $false )
| ( ( ~ ( SV96 @ SV124 )
| ( in @ SV124
@ ( dsetconstr @ SV38
@ ^ [SY769: $i] : ( SV96 @ SY769 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(589,plain,
! [SV41: $i,SV97: $i > $o] :
( ( ( ~ ( in @ ( sK34_Xx @ SV97 @ SV41 ) @ SV41 ) )
= $false )
| ( ( ! [SY770: $i] :
( ~ ( SV97 @ SY770 )
| ~ ( in @ SY770 @ SV41 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(590,plain,
! [SV41: $i,SV97: $i > $o] :
( ( ( ~ ( SV97 @ ( sK34_Xx @ SV97 @ SV41 ) ) )
= $false )
| ( ( ! [SY770: $i] :
( ~ ( SV97 @ SY770 )
| ~ ( in @ SY770 @ SV41 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(591,plain,
! [SV42: $i,SV98: $i] :
( ( ( ~ ( ~ ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV42 )
| ~ ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV98 ) ) )
= $false )
| ( ( SV42 = SV98 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(592,plain,
! [SV42: $i,SV98: $i] :
( ( ( ~ ( ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV42 )
| ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV98 ) ) )
= $false )
| ( ( SV42 = SV98 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(593,plain,
! [SV43: $i,SV153: $o,SV99: $i] :
( ( ( ~ ( ~ ( in @ SV99 @ ( sK29_B @ SV153 @ SV99 @ SV43 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ SV153 @ SV99 @ SV43 ) @ SV43 )
| ~ ~ SV153 ) )
| SV153 )
= $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[535]) ).
thf(594,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ( ~ ( in @ SV99 @ ( sK29_B @ $true @ SV99 @ SV43 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ $true @ SV99 @ SV43 ) @ SV43 )
| ~ ~ $true ) )
| $true )
= $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[535]) ).
thf(595,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ( ~ ( in @ SV99 @ ( sK29_B @ $false @ SV99 @ SV43 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ $false @ SV99 @ SV43 ) @ SV43 )
| ~ ~ $false ) )
| $false )
= $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[535]) ).
thf(596,plain,
! [SV100: $i > $o,SV44: $i,SV138: $i] :
( ( ( ~ ( in @ SV138 @ SV44 ) )
= $true )
| ( ( SV100 @ SV138 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK33_Xx @ SV100 @ SV44 ) @ SV44 )
| ~ ~ ( SV100 @ ( sK33_Xx @ SV100 @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(597,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( ~ ( SV45 @ ( sK40_Xy @ SV125 @ SV45 ) )
| ~ ( ( SV125
!= ( sK40_Xy @ SV125 @ SV45 ) ) ) )
= $false )
| ( ( ~ ( SV45 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) )
| ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(598,plain,
! [SV126: $i,SV46: $i > $o] :
( ( ( ~ ( SV46 @ ( sK55_SY249 @ SV126 @ SV46 ) )
| ~ ( ( SV126
!= ( sK55_SY249 @ SV126 @ SV46 ) ) ) )
= $false )
| ( ( ~ ( SV46 @ SV126 ) )
= $true )
| ( ( ! [SY666: $i] :
( ~ ( SV46 @ SY666 )
| ! [SY667: $i] :
( ~ ( SV46 @ SY667 )
| ( SY666 = SY667 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(599,plain,
! [SV47: $i,SV101: $i] :
( ( ( ~ ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV47 ) )
= $false )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV47 )
| ( in @ SY773 @ SV101 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(600,plain,
! [SV47: $i,SV101: $i] :
( ( ( ~ ~ ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV101 ) )
= $false )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV47 )
| ( in @ SY773 @ SV101 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(601,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK7_Xx @ SV48 ) @ omega )
| ~ ( in @ ( sK7_Xx @ SV48 ) @ SV48 ) ) )
= $false )
| ( ( ~ ( in @ emptyset @ SV48 ) )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(602,plain,
! [SV48: $i] :
( ( ( ~ ~ ( in @ ( setadjoin @ ( sK7_Xx @ SV48 ) @ ( sK7_Xx @ SV48 ) ) @ SV48 ) )
= $false )
| ( ( ~ ( in @ emptyset @ SV48 ) )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(603,plain,
! [SV49: $i,SV102: $i] :
( ( ( ~ ( in @ ( sK28_Xx @ SV102 @ SV49 ) @ SV102 ) )
= $false )
| ( ( in @ SV102 @ ( powerset @ SV49 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(604,plain,
! [SV49: $i,SV102: $i] :
( ( ( ~ ~ ( in @ ( sK28_Xx @ SV102 @ SV49 ) @ SV49 ) )
= $false )
| ( ( in @ SV102 @ ( powerset @ SV49 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(605,plain,
! [SV127: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ ( sK46_SY225 @ SV127 @ SV50 ) )
| ~ ( ( SV127
!= ( sK46_SY225 @ SV127 @ SV50 ) ) ) )
= $false )
| ( ( ~ ( SV50 @ SV127 ) )
= $true )
| ( ( ! [SY673: $i] :
( ~ ( SV50 @ SY673 )
| ! [SY674: $i] :
( ~ ( SV50 @ SY674 )
| ( SY673 = SY674 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(606,plain,
! [SV128: $i,SV51: $i > $o] :
( ( ( ~ ( SV51 @ ( sK22_SY87 @ SV128 @ SV51 ) )
| ~ ( ( SV128
!= ( sK22_SY87 @ SV128 @ SV51 ) ) ) )
= $false )
| ( ( ~ ( SV51 @ SV128 ) )
= $true )
| ( ( SV51 @ ( sK21_Xx @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(607,plain,
! [SV52: $i,SV154: $i] :
( ( ~ ( ~ ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
| ~ ~ ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 ) )
| ! [SY821: $i] :
~ ( in @ SY821 @ SV154 )
| ~ ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(608,plain,
! [SV52: $i] :
( ( ~ ! [SY681: $i,SY682: $i] :
( ~ ( in @ SY681 @ ( sK13_B @ SV52 ) )
| ~ ( in @ SY682 @ ( sK13_B @ SV52 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY681 )
| ( in @ SX3 @ SY682 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY682 )
| ( in @ SX3 @ SY681 ) ) )
| ~ ~ ( ~ ! [SY685: $i] :
( ~ ( in @ SY685 @ ( sK13_B @ SV52 ) )
| ! [SY686: $i] :
( ~ ( in @ SY686 @ SY685 )
| ( in @ SY686 @ SV52 ) ) )
| ~ ! [SY687: $i,SY688: $i] :
( ~ ( in @ SY687 @ SV52 )
| ~ ( in @ SY688 @ SV52 )
| ~ ( ~ ( in @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ~ ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) )
| ~ ( ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) ) ) )
| ( SY687 = SY688 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(609,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o] :
( ( ( ! [SY825: $i > $o] :
( ~ ( ~ ( in @ ( sK60_Xx @ SY825 @ SV155 @ SV103 @ SV53 ) @ SV53 )
| ~ ~ ( ~ ( in @ ( sK61_SY606 @ SY825 @ SV155 @ SV103 @ SV53 ) @ SV103 )
| ~ ~ ( ( ( sK60_Xx @ SY825 @ SV155 @ SV103 @ SV53 )
!= ( sK61_SY606 @ SY825 @ SV155 @ SV103 @ SV53 ) )
| ~ ~ ( ~ ( ~ ( SV155 @ ( sK60_Xx @ SY825 @ SV155 @ SV103 @ SV53 ) )
| ~ ( SY825 @ ( sK61_SY606 @ SY825 @ SV155 @ SV103 @ SV53 ) ) )
| ~ ( ( SV155 @ ( sK60_Xx @ SY825 @ SV155 @ SV103 @ SV53 ) )
| ( SY825 @ ( sK61_SY606 @ SY825 @ SV155 @ SV103 @ SV53 ) ) ) ) ) ) )
| ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SX4: $i] : ( SY825 @ SX4 ) ) ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(610,plain,
! [SV54: $i,SV104: $i] :
( ( ( ~ ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV54 ) )
= $false )
| ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 )
| ~ ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) )
| ( SV54 = SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[547]) ).
thf(611,plain,
! [SV54: $i,SV104: $i] :
( ( ( ~ ~ ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV104 ) )
= $false )
| ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 )
| ~ ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) )
| ( SV54 = SV104 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[547]) ).
thf(612,plain,
! [SV139: $i > $o,SV156: $i > $o] :
( ( ~ ( ( ( sK53_Xx @ SV156 @ SV139 )
!= ( sK54_SY604 @ SV156 @ SV139 ) )
| ~ ~ ( ~ ( ~ ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ~ ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) )
| ~ ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) ) ) )
| ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(613,plain,
! [SV140: $i > $o,SV157: $i > $o] :
( ( ~ ( ( ( sK49_Xx @ SV157 @ SV140 )
!= ( sK50_SY602 @ SV157 @ SV140 ) )
| ~ ~ ( ~ ( ~ ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ~ ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) )
| ~ ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) ) ) )
| ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(614,plain,
! [SV158: $i > $o,SV55: $i] :
( ( ! [SY832: $i] :
( ~ ( in @ SY832 @ SV55 )
| ~ ( SV158 @ SY832 )
| ( in @ SY832
@ ( dsetconstr @ SV55
@ ^ [SY833: $i] : ( SV158 @ SY833 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(615,plain,
! [SV159: $i > $o,SV55: $i] :
( ( ! [SY834: $i] :
( ~ ( in @ SY834 @ SV55 )
| ~ ( in @ SY834
@ ( dsetconstr @ SV55
@ ^ [SY835: $i] : ( SV159 @ SY835 ) ) )
| ( SV159 @ SY834 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(616,plain,
! [SV105: $i,SV56: $i] :
( ( ( ~ ! [SY778: $i,SY779: $i] :
( ( SY778 != SY779 )
| ~ ( in @ SY778 @ SV56 )
| ( in @ SY779 @ SV105 ) )
| ~ ! [SY780: $i,SY781: $i] :
( ( SY780 != SY781 )
| ~ ( in @ SY781 @ SV105 )
| ( in @ SY780 @ SV56 ) ) )
= $false )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(617,plain,
! [SV106: $i > $o,SV57: $i,SV141: $i] :
( ( ( ~ ( in @ SV141 @ SV57 ) )
= $true )
| ( ( SV106 @ SV141 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK36_Xx @ SV106 @ SV57 ) @ SV57 )
| ~ ~ ( SV106 @ ( sK36_Xx @ SV106 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(618,plain,
! [SV58: $i > $i > $o,SV107: $i] :
( ( ( ~ ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 ) )
= $false )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(619,plain,
! [SV107: $i,SV58: $i > $i > $o] :
( ( ( ~ ! [SY783: $i] :
( ~ ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SY783 @ SV107 @ SV58 ) )
| ~ ( ( SY783
!= ( sK11_SY568 @ SY783 @ SV107 @ SV58 ) ) ) )
| ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SY783 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(620,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( ~ ( SV59 @ ( sK20_SY75 @ SV129 @ SV59 ) )
| ~ ( ( SV129
!= ( sK20_SY75 @ SV129 @ SV59 ) ) ) )
= $false )
| ( ( ~ ( SV59 @ SV129 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) )
| ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(621,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ( ~ ( SV60 @ ( sK42_Xx @ SV60 ) )
| ~ ~ ( ~ ( SV60 @ ( sK43_SY599 @ SV60 ) )
| ~ ( ( ( sK42_Xx @ SV60 )
!= ( sK43_SY599 @ SV60 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(622,plain,
! [SV108: $i > $o,SV61: $i,SV142: $i] :
( ( ( ~ ( in @ SV142 @ SV61 ) )
= $true )
| ( ( SV108 @ SV142 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK38_Xx @ SV108 @ SV61 ) @ SV61 )
| ~ ~ ( SV108 @ ( sK38_Xx @ SV108 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(623,plain,
! [SV62: $i > $o,SV109: $i > $o] :
( ( ( ( sK58_Xx @ SV109 @ SV62 )
!= ( sK59_SY605 @ SV109 @ SV62 ) )
= $false )
| ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(624,plain,
! [SV109: $i > $o,SV62: $i > $o] :
( ( ( ~ ~ ( ~ ( ~ ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ~ ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) )
| ~ ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) ) ) )
= $false )
| ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(625,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( SV131 = SV63 )
| ( in @ SV131 @ SV110 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SV131 = SV63 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
| ~ ~ ( ~ ! [SY805: $o] :
( ~ SY805
| ( in @ SV131 @ SV110 )
| SY805 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(626,plain,
! [SV143: $i,SV160: $i] :
( ( ! [SY836: $i] :
( ~ ( in @ SV160 @ SY836 )
| ~ ( in @ SY836 @ SV143 ) )
| ( in @ SV160 @ ( setunion @ SV143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(627,plain,
! [SV144: $i,SV161: $i] :
( ( ~ ( in @ SV161 @ ( setunion @ SV144 ) )
| ~ ( ~ ( in @ SV161 @ ( sK6_B @ SV161 @ SV144 ) )
| ~ ( in @ ( sK6_B @ SV161 @ SV144 ) @ SV144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(628,plain,
! [SV162: $i,SV64: $i] :
( ( ! [SY837: $i] :
( ~ ( in @ SY837 @ ( setadjoin @ SV64 @ SV162 ) )
| ( SY837 = SV64 )
| ( in @ SY837 @ SV162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(629,plain,
! [SV64: $i] :
( ( ~ ! [SY732: $i,SY733: $i] :
( ( SY733 != SV64 )
| ( in @ SY733 @ ( setadjoin @ SV64 @ SY732 ) ) )
| ~ ! [SY734: $i,SY735: $i] :
( ~ ( in @ SY735 @ SY734 )
| ( in @ SY735 @ ( setadjoin @ SV64 @ SY734 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(630,plain,
! [SV65: $i,SV111: $i > $o] :
( ( ( ~ ( SV111 @ ( sK37_Xx @ SV111 @ SV65 ) ) )
= $false )
| ( ( ! [SY797: $i] :
( ~ ( in @ SY797 @ SV65 )
| ~ ( SV111 @ SY797 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(631,plain,
! [SV65: $i,SV111: $i > $o] :
( ( ( ~ ( in @ ( sK37_Xx @ SV111 @ SV65 ) @ SV65 ) )
= $false )
| ( ( ! [SY797: $i] :
( ~ ( in @ SY797 @ SV65 )
| ~ ( SV111 @ SY797 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(632,plain,
! [SV145: $i,SV163: $i] :
( ( ~ ( ~ ( in @ ( sK5_Xx @ SV163 @ SV145 ) @ SV163 )
| ~ ~ ( in @ ( sK5_Xx @ SV163 @ SV145 ) @ SV145 ) )
| ( in @ SV163 @ ( powerset @ SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(633,plain,
! [SV146: $i,SV164: $i] :
( ( ~ ( in @ SV164 @ ( powerset @ SV146 ) )
| ! [SY838: $i] :
( ~ ( in @ SY838 @ SV164 )
| ( in @ SY838 @ SV146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(634,plain,
! [SV66: $i,SV112: $i > $o] :
( ( ( ~ ( SV112 @ ( sK35_Xx @ SV112 @ SV66 ) ) )
= $false )
| ( ( ! [SY798: $i] :
( ~ ( in @ SY798 @ SV66 )
| ~ ( SV112 @ SY798 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[567]) ).
thf(635,plain,
! [SV66: $i,SV112: $i > $o] :
( ( ( ~ ( in @ ( sK35_Xx @ SV112 @ SV66 ) @ SV66 ) )
= $false )
| ( ( ! [SY798: $i] :
( ~ ( in @ SY798 @ SV66 )
| ~ ( SV112 @ SY798 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[567]) ).
thf(636,plain,
! [SV147: $i] :
( ( ( ~ ( in @ SV147 @ sK1_SY0 ) )
= $true )
| ( ( in @ SV147 @ sK2_SY558 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(637,plain,
( ( ~ ( in @ sK3_SY562 @ sK1_SY0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[569]) ).
thf(638,plain,
( ( ~ ~ ( in @ sK3_SY562 @ sK2_SY558 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[569]) ).
thf(639,plain,
! [SV67: $i > $o,SV132: $i] :
( ( ( ~ ( ( ( sK45_Xy @ SV132 @ SV67 )
!= SV132 )
| ~ ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) )
| ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(640,plain,
! [SV67: $i > $o,SV132: $i] :
( ( ( ~ ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
| ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) )
| ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(641,plain,
! [SV133: $i,SV68: $i] :
( ( ( ~ ( in @ ( sK12_B @ SV68 ) @ SV68 )
| ~ ! [SY743: $i] :
( ~ ( in @ SY743 @ ( sK12_B @ SV68 ) )
| ~ ( in @ SY743 @ SV68 ) ) )
= $false )
| ( ( in @ SV133 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(642,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( ~ ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
| ~ ( ( SV134
!= ( sK31_SY143 @ SV134 @ SV69 ) ) ) )
= $false )
| ( ( ~ ( SV69 @ SV134 ) )
= $true )
| ( ( ~ ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) )
| ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(643,plain,
! [SV135: $i,SV70: $i > $o] :
( ( ( ~ ( SV70 @ ( sK18_SY58 @ SV135 @ SV70 ) )
| ~ ( ( SV135
!= ( sK18_SY58 @ SV135 @ SV70 ) ) ) )
= $false )
| ( ( ~ ( SV70 @ SV135 ) )
= $true )
| ( ( SV70
@ ( descr
@ ^ [SY748: $i] : ( SV70 @ SY748 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(644,plain,
! [SV71: $i,SV1: $i,SV148: $i] :
( ( ( ~ ( in @ SV148 @ SV1 ) )
= $true )
| ( ( in @ SV148 @ SV71 )
= $true )
| ( ( SV1 = SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[574]) ).
thf(645,plain,
! [SV2: $i,SV72: $i,SV149: $i] :
( ( ( ~ ( in @ SV149 @ SV72 ) )
= $true )
| ( ( in @ SV149 @ SV2 )
= $true )
| ( ( SV2 = SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(646,plain,
! [SV75: $i,SV5: $i,SV165: $i,SV150: $i] :
( ( ( ( SV150 != SV165 )
| ( ( setadjoin @ SV5 @ SV150 )
= ( setadjoin @ SV75 @ SV165 ) ) )
= $true )
| ( ( SV5 = SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(647,plain,
! [SV76: $i,SV6: $i,SV166: $i,SV151: $i] :
( ( ( ( SV151 != SV166 )
| ~ ( in @ SV151 @ SV6 )
| ( in @ SV166 @ SV76 ) )
= $true )
| ( ( SV6 = SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(648,plain,
! [SV10: $i,SV136: $i,SV78: $i > $o] :
( ( ( SV78 @ SV136 )
= $false )
| ( ( ~ ( in @ SV136 @ SV10 ) )
= $true )
| ( ( ( dsetconstr @ SV10
@ ^ [SY756: $i] : ( SV78 @ SY756 ) )
!= emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(649,plain,
! [SV81: $i,SV13: $i,SV113: $i] :
( ( ( SV113 = SV13 )
= $true )
| ( ( SV113 = SV81 )
= $true )
| ( ( in @ SV113 @ ( setadjoin @ SV13 @ ( setadjoin @ SV81 @ emptyset ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(650,plain,
! [SV87: $i,SV20: $i,SV114: $i] :
( ( ( ~ ( in @ SV114 @ SV20 ) )
= $true )
| ( ( in @ SV87 @ ( setunion @ SV20 ) )
= $true )
| ( ( in @ SV87 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(651,plain,
! [SV21: $i,SV88: $i,SV152: $i] :
( ( ( ~ ( in @ SV152 @ SV88 ) )
= $true )
| ( ( in @ SV152 @ SV21 )
= $true )
| ( ( in @ SV88 @ ( powerset @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[581]) ).
thf(652,plain,
! [SV89: $i,SV25: $i,SV115: $i] :
( ( ( SV115 = SV25 )
= $true )
| ( ( in @ SV115 @ SV89 )
= $true )
| ( ( in @ SV115 @ ( setadjoin @ SV25 @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(653,plain,
! [SV29: $i,SV118: $i,SV92: $i > $o] :
( ( ( ~ ( SV92 @ SV118 ) )
= $true )
| ( ( ( dsetconstr @ SV29
@ ^ [SY763: $i] : ( SV92 @ SY763 ) )
!= emptyset )
= $true )
| ( ( in @ SV118 @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(654,plain,
! [SV38: $i,SV124: $i,SV96: $i > $o] :
( ( ( ~ ( SV96 @ SV124 ) )
= $true )
| ( ( in @ SV124
@ ( dsetconstr @ SV38
@ ^ [SY769: $i] : ( SV96 @ SY769 ) ) )
= $true )
| ( ( in @ SV124 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[588]) ).
thf(655,plain,
! [SV41: $i,SV97: $i > $o] :
( ( ( in @ ( sK34_Xx @ SV97 @ SV41 ) @ SV41 )
= $true )
| ( ( ! [SY770: $i] :
( ~ ( SV97 @ SY770 )
| ~ ( in @ SY770 @ SV41 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(656,plain,
! [SV41: $i,SV97: $i > $o] :
( ( ( SV97 @ ( sK34_Xx @ SV97 @ SV41 ) )
= $true )
| ( ( ! [SY770: $i] :
( ~ ( SV97 @ SY770 )
| ~ ( in @ SY770 @ SV41 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[590]) ).
thf(657,plain,
! [SV42: $i,SV98: $i] :
( ( ( ~ ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV42 )
| ~ ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV98 ) )
= $true )
| ( ( SV42 = SV98 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[591]) ).
thf(658,plain,
! [SV42: $i,SV98: $i] :
( ( ( ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV42 )
| ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV98 ) )
= $true )
| ( ( SV42 = SV98 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(659,plain,
! [SV43: $i,SV153: $o,SV99: $i] :
( ( ( ~ ( ~ ( in @ SV99 @ ( sK29_B @ SV153 @ SV99 @ SV43 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ SV153 @ SV99 @ SV43 ) @ SV43 )
| ~ ~ SV153 ) ) )
= $true )
| ( SV153 = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[593]) ).
thf(660,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ( ~ ( in @ SV99 @ ( sK29_B @ $true @ SV99 @ SV43 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ $true @ SV99 @ SV43 ) @ SV43 )
| ~ ~ $true ) ) )
= $true )
| ( $true = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[594]) ).
thf(661,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ( ~ ( in @ SV99 @ ( sK29_B @ $false @ SV99 @ SV43 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ $false @ SV99 @ SV43 ) @ SV43 )
| ~ ~ $false ) ) )
= $true )
| ( $false = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(662,plain,
! [SV100: $i > $o,SV44: $i,SV138: $i] :
( ( ( in @ SV138 @ SV44 )
= $false )
| ( ( SV100 @ SV138 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK33_Xx @ SV100 @ SV44 ) @ SV44 )
| ~ ~ ( SV100 @ ( sK33_Xx @ SV100 @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(663,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( ~ ( SV45 @ ( sK40_Xy @ SV125 @ SV45 ) ) )
= $false )
| ( ( ~ ( SV45 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) )
| ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[597]) ).
thf(664,plain,
! [SV45: $i > $o,SV125: $i] :
( ( ( ~ ( ( SV125
!= ( sK40_Xy @ SV125 @ SV45 ) ) ) )
= $false )
| ( ( ~ ( SV45 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) )
| ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[597]) ).
thf(665,plain,
! [SV126: $i,SV46: $i > $o] :
( ( ( ~ ( SV46 @ ( sK55_SY249 @ SV126 @ SV46 ) ) )
= $false )
| ( ( ~ ( SV46 @ SV126 ) )
= $true )
| ( ( ! [SY666: $i] :
( ~ ( SV46 @ SY666 )
| ! [SY667: $i] :
( ~ ( SV46 @ SY667 )
| ( SY666 = SY667 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(666,plain,
! [SV46: $i > $o,SV126: $i] :
( ( ( ~ ( ( SV126
!= ( sK55_SY249 @ SV126 @ SV46 ) ) ) )
= $false )
| ( ( ~ ( SV46 @ SV126 ) )
= $true )
| ( ( ! [SY666: $i] :
( ~ ( SV46 @ SY666 )
| ! [SY667: $i] :
( ~ ( SV46 @ SY667 )
| ( SY666 = SY667 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(667,plain,
! [SV47: $i,SV101: $i] :
( ( ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV47 )
= $true )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV47 )
| ( in @ SY773 @ SV101 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(668,plain,
! [SV47: $i,SV101: $i] :
( ( ( ~ ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV101 ) )
= $true )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV47 )
| ( in @ SY773 @ SV101 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(669,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ( in @ ( sK7_Xx @ SV48 ) @ omega )
| ~ ( in @ ( sK7_Xx @ SV48 ) @ SV48 ) ) )
= $true )
| ( ( ~ ( in @ emptyset @ SV48 ) )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(670,plain,
! [SV48: $i] :
( ( ( ~ ( in @ ( setadjoin @ ( sK7_Xx @ SV48 ) @ ( sK7_Xx @ SV48 ) ) @ SV48 ) )
= $true )
| ( ( ~ ( in @ emptyset @ SV48 ) )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(671,plain,
! [SV49: $i,SV102: $i] :
( ( ( in @ ( sK28_Xx @ SV102 @ SV49 ) @ SV102 )
= $true )
| ( ( in @ SV102 @ ( powerset @ SV49 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(672,plain,
! [SV49: $i,SV102: $i] :
( ( ( ~ ( in @ ( sK28_Xx @ SV102 @ SV49 ) @ SV49 ) )
= $true )
| ( ( in @ SV102 @ ( powerset @ SV49 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(673,plain,
! [SV127: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ ( sK46_SY225 @ SV127 @ SV50 ) ) )
= $false )
| ( ( ~ ( SV50 @ SV127 ) )
= $true )
| ( ( ! [SY673: $i] :
( ~ ( SV50 @ SY673 )
| ! [SY674: $i] :
( ~ ( SV50 @ SY674 )
| ( SY673 = SY674 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(674,plain,
! [SV50: $i > $o,SV127: $i] :
( ( ( ~ ( ( SV127
!= ( sK46_SY225 @ SV127 @ SV50 ) ) ) )
= $false )
| ( ( ~ ( SV50 @ SV127 ) )
= $true )
| ( ( ! [SY673: $i] :
( ~ ( SV50 @ SY673 )
| ! [SY674: $i] :
( ~ ( SV50 @ SY674 )
| ( SY673 = SY674 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(675,plain,
! [SV128: $i,SV51: $i > $o] :
( ( ( ~ ( SV51 @ ( sK22_SY87 @ SV128 @ SV51 ) ) )
= $false )
| ( ( ~ ( SV51 @ SV128 ) )
= $true )
| ( ( SV51 @ ( sK21_Xx @ SV51 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[606]) ).
thf(676,plain,
! [SV51: $i > $o,SV128: $i] :
( ( ( ~ ( ( SV128
!= ( sK22_SY87 @ SV128 @ SV51 ) ) ) )
= $false )
| ( ( ~ ( SV51 @ SV128 ) )
= $true )
| ( ( SV51 @ ( sK21_Xx @ SV51 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[606]) ).
thf(677,plain,
! [SV52: $i,SV154: $i] :
( ( ( ~ ( ~ ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
| ~ ~ ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 ) )
| ! [SY821: $i] :
~ ( in @ SY821 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(678,plain,
! [SV52: $i] :
( ( ~ ! [SY681: $i,SY682: $i] :
( ~ ( in @ SY681 @ ( sK13_B @ SV52 ) )
| ~ ( in @ SY682 @ ( sK13_B @ SV52 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY681 )
| ( in @ SX3 @ SY682 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY682 )
| ( in @ SX3 @ SY681 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[608]) ).
thf(679,plain,
! [SV52: $i] :
( ( ~ ~ ( ~ ! [SY685: $i] :
( ~ ( in @ SY685 @ ( sK13_B @ SV52 ) )
| ! [SY686: $i] :
( ~ ( in @ SY686 @ SY685 )
| ( in @ SY686 @ SV52 ) ) )
| ~ ! [SY687: $i,SY688: $i] :
( ~ ( in @ SY687 @ SV52 )
| ~ ( in @ SY688 @ SV52 )
| ~ ( ~ ( in @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ~ ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) )
| ~ ( ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) ) ) )
| ( SY687 = SY688 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[608]) ).
thf(680,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) @ SV53 )
| ~ ~ ( ~ ( in @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) @ SV103 )
| ~ ~ ( ( ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 )
!= ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ~ ( ~ ( ~ ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
| ~ ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) ) ) ) ) )
| ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(681,plain,
! [SV54: $i,SV104: $i] :
( ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV54 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 )
| ~ ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) )
| ( SV54 = SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(682,plain,
! [SV54: $i,SV104: $i] :
( ( ( ~ ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV104 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 )
| ~ ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) )
| ( SV54 = SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[611]) ).
thf(683,plain,
! [SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ( ( ( sK53_Xx @ SV156 @ SV139 )
!= ( sK54_SY604 @ SV156 @ SV139 ) )
| ~ ~ ( ~ ( ~ ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ~ ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) )
| ~ ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) ) ) ) )
= $true )
| ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(684,plain,
! [SV140: $i > $o,SV157: $i > $o] :
( ( ( ~ ( ( ( sK49_Xx @ SV157 @ SV140 )
!= ( sK50_SY602 @ SV157 @ SV140 ) )
| ~ ~ ( ~ ( ~ ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ~ ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) )
| ~ ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) ) ) ) )
= $true )
| ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(685,plain,
! [SV158: $i > $o,SV55: $i,SV168: $i] :
( ( ~ ( in @ SV168 @ SV55 )
| ~ ( SV158 @ SV168 )
| ( in @ SV168
@ ( dsetconstr @ SV55
@ ^ [SY833: $i] : ( SV158 @ SY833 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(686,plain,
! [SV159: $i > $o,SV55: $i,SV169: $i] :
( ( ~ ( in @ SV169 @ SV55 )
| ~ ( in @ SV169
@ ( dsetconstr @ SV55
@ ^ [SY835: $i] : ( SV159 @ SY835 ) ) )
| ( SV159 @ SV169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(687,plain,
! [SV105: $i,SV56: $i] :
( ( ( ~ ! [SY778: $i,SY779: $i] :
( ( SY778 != SY779 )
| ~ ( in @ SY778 @ SV56 )
| ( in @ SY779 @ SV105 ) ) )
= $false )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[616]) ).
thf(688,plain,
! [SV56: $i,SV105: $i] :
( ( ( ~ ! [SY780: $i,SY781: $i] :
( ( SY780 != SY781 )
| ~ ( in @ SY781 @ SV105 )
| ( in @ SY780 @ SV56 ) ) )
= $false )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[616]) ).
thf(689,plain,
! [SV106: $i > $o,SV57: $i,SV141: $i] :
( ( ( in @ SV141 @ SV57 )
= $false )
| ( ( SV106 @ SV141 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK36_Xx @ SV106 @ SV57 ) @ SV57 )
| ~ ~ ( SV106 @ ( sK36_Xx @ SV106 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(690,plain,
! [SV58: $i > $i > $o,SV107: $i] :
( ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[618]) ).
thf(691,plain,
! [SV107: $i,SV58: $i > $i > $o] :
( ( ( ! [SY783: $i] :
( ~ ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SY783 @ SV107 @ SV58 ) )
| ~ ( ( SY783
!= ( sK11_SY568 @ SY783 @ SV107 @ SV58 ) ) ) )
| ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SY783 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(692,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( ~ ( SV59 @ ( sK20_SY75 @ SV129 @ SV59 ) ) )
= $false )
| ( ( ~ ( SV59 @ SV129 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) )
| ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(693,plain,
! [SV59: $i > $o,SV129: $i] :
( ( ( ~ ( ( SV129
!= ( sK20_SY75 @ SV129 @ SV59 ) ) ) )
= $false )
| ( ( ~ ( SV59 @ SV129 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) )
| ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(694,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK42_Xx @ SV60 ) )
| ~ ~ ( ~ ( SV60 @ ( sK43_SY599 @ SV60 ) )
| ~ ( ( ( sK42_Xx @ SV60 )
!= ( sK43_SY599 @ SV60 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(695,plain,
! [SV108: $i > $o,SV61: $i,SV142: $i] :
( ( ( in @ SV142 @ SV61 )
= $false )
| ( ( SV108 @ SV142 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK38_Xx @ SV108 @ SV61 ) @ SV61 )
| ~ ~ ( SV108 @ ( sK38_Xx @ SV108 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(696,plain,
! [SV62: $i > $o,SV109: $i > $o] :
( ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[623]) ).
thf(697,plain,
! [SV109: $i > $o,SV62: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ~ ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) )
| ~ ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) ) ) )
= $true )
| ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(698,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ ~ ( ~ ( ( SV131 = SV63 )
| ( in @ SV131 @ SV110 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SV131 = SV63 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
| ~ ~ ( ~ ! [SY805: $o] :
( ~ SY805
| ( in @ SV131 @ SV110 )
| SY805 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) )
= $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(699,plain,
! [SV143: $i,SV160: $i] :
( ( ( ! [SY836: $i] :
( ~ ( in @ SV160 @ SY836 )
| ~ ( in @ SY836 @ SV143 ) ) )
= $true )
| ( ( in @ SV160 @ ( setunion @ SV143 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(700,plain,
! [SV144: $i,SV161: $i] :
( ( ( ~ ( in @ SV161 @ ( setunion @ SV144 ) ) )
= $true )
| ( ( ~ ( ~ ( in @ SV161 @ ( sK6_B @ SV161 @ SV144 ) )
| ~ ( in @ ( sK6_B @ SV161 @ SV144 ) @ SV144 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(701,plain,
! [SV162: $i,SV64: $i,SV170: $i] :
( ( ~ ( in @ SV170 @ ( setadjoin @ SV64 @ SV162 ) )
| ( SV170 = SV64 )
| ( in @ SV170 @ SV162 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(702,plain,
! [SV64: $i] :
( ( ~ ! [SY732: $i,SY733: $i] :
( ( SY733 != SV64 )
| ( in @ SY733 @ ( setadjoin @ SV64 @ SY732 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(703,plain,
! [SV64: $i] :
( ( ~ ! [SY734: $i,SY735: $i] :
( ~ ( in @ SY735 @ SY734 )
| ( in @ SY735 @ ( setadjoin @ SV64 @ SY734 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(704,plain,
! [SV65: $i,SV111: $i > $o] :
( ( ( SV111 @ ( sK37_Xx @ SV111 @ SV65 ) )
= $true )
| ( ( ! [SY797: $i] :
( ~ ( in @ SY797 @ SV65 )
| ~ ( SV111 @ SY797 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(705,plain,
! [SV65: $i,SV111: $i > $o] :
( ( ( in @ ( sK37_Xx @ SV111 @ SV65 ) @ SV65 )
= $true )
| ( ( ! [SY797: $i] :
( ~ ( in @ SY797 @ SV65 )
| ~ ( SV111 @ SY797 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[631]) ).
thf(706,plain,
! [SV145: $i,SV163: $i] :
( ( ( ~ ( ~ ( in @ ( sK5_Xx @ SV163 @ SV145 ) @ SV163 )
| ~ ~ ( in @ ( sK5_Xx @ SV163 @ SV145 ) @ SV145 ) ) )
= $true )
| ( ( in @ SV163 @ ( powerset @ SV145 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(707,plain,
! [SV146: $i,SV164: $i] :
( ( ( ~ ( in @ SV164 @ ( powerset @ SV146 ) ) )
= $true )
| ( ( ! [SY838: $i] :
( ~ ( in @ SY838 @ SV164 )
| ( in @ SY838 @ SV146 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(708,plain,
! [SV66: $i,SV112: $i > $o] :
( ( ( SV112 @ ( sK35_Xx @ SV112 @ SV66 ) )
= $true )
| ( ( ! [SY798: $i] :
( ~ ( in @ SY798 @ SV66 )
| ~ ( SV112 @ SY798 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[634]) ).
thf(709,plain,
! [SV66: $i,SV112: $i > $o] :
( ( ( in @ ( sK35_Xx @ SV112 @ SV66 ) @ SV66 )
= $true )
| ( ( ! [SY798: $i] :
( ~ ( in @ SY798 @ SV66 )
| ~ ( SV112 @ SY798 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(710,plain,
! [SV147: $i] :
( ( ( in @ SV147 @ sK1_SY0 )
= $false )
| ( ( in @ SV147 @ sK2_SY558 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(711,plain,
( ( in @ sK3_SY562 @ sK1_SY0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(712,plain,
( ( ~ ( in @ sK3_SY562 @ sK2_SY558 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(713,plain,
! [SV67: $i > $o,SV132: $i] :
( ( ( ( ( sK45_Xy @ SV132 @ SV67 )
!= SV132 )
| ~ ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) )
| ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(714,plain,
! [SV67: $i > $o,SV132: $i] :
( ( ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
| ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) )
| ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(715,plain,
! [SV133: $i,SV68: $i] :
( ( ( ~ ( in @ ( sK12_B @ SV68 ) @ SV68 ) )
= $false )
| ( ( in @ SV133 @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[641]) ).
thf(716,plain,
! [SV133: $i,SV68: $i] :
( ( ( ~ ! [SY743: $i] :
( ~ ( in @ SY743 @ ( sK12_B @ SV68 ) )
| ~ ( in @ SY743 @ SV68 ) ) )
= $false )
| ( ( in @ SV133 @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[641]) ).
thf(717,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( ~ ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) ) )
= $false )
| ( ( ~ ( SV69 @ SV134 ) )
= $true )
| ( ( ~ ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) )
| ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(718,plain,
! [SV69: $i > $o,SV134: $i] :
( ( ( ~ ( ( SV134
!= ( sK31_SY143 @ SV134 @ SV69 ) ) ) )
= $false )
| ( ( ~ ( SV69 @ SV134 ) )
= $true )
| ( ( ~ ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) )
| ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(719,plain,
! [SV135: $i,SV70: $i > $o] :
( ( ( ~ ( SV70 @ ( sK18_SY58 @ SV135 @ SV70 ) ) )
= $false )
| ( ( ~ ( SV70 @ SV135 ) )
= $true )
| ( ( SV70
@ ( descr
@ ^ [SY748: $i] : ( SV70 @ SY748 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[643]) ).
thf(720,plain,
! [SV70: $i > $o,SV135: $i] :
( ( ( ~ ( ( SV135
!= ( sK18_SY58 @ SV135 @ SV70 ) ) ) )
= $false )
| ( ( ~ ( SV70 @ SV135 ) )
= $true )
| ( ( SV70
@ ( descr
@ ^ [SY748: $i] : ( SV70 @ SY748 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[643]) ).
thf(721,plain,
! [SV71: $i,SV1: $i,SV148: $i] :
( ( ( in @ SV148 @ SV1 )
= $false )
| ( ( in @ SV148 @ SV71 )
= $true )
| ( ( SV1 = SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(722,plain,
! [SV2: $i,SV72: $i,SV149: $i] :
( ( ( in @ SV149 @ SV72 )
= $false )
| ( ( in @ SV149 @ SV2 )
= $true )
| ( ( SV2 = SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(723,plain,
! [SV75: $i,SV5: $i,SV165: $i,SV150: $i] :
( ( ( SV150 != SV165 )
= $true )
| ( ( ( setadjoin @ SV5 @ SV150 )
= ( setadjoin @ SV75 @ SV165 ) )
= $true )
| ( ( SV5 = SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[646]) ).
thf(724,plain,
! [SV76: $i,SV6: $i,SV166: $i,SV151: $i] :
( ( ( SV151 != SV166 )
= $true )
| ( ( ~ ( in @ SV151 @ SV6 )
| ( in @ SV166 @ SV76 ) )
= $true )
| ( ( SV6 = SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(725,plain,
! [SV78: $i > $o,SV10: $i,SV136: $i] :
( ( ( in @ SV136 @ SV10 )
= $false )
| ( ( SV78 @ SV136 )
= $false )
| ( ( ( dsetconstr @ SV10
@ ^ [SY756: $i] : ( SV78 @ SY756 ) )
!= emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(726,plain,
! [SV87: $i,SV20: $i,SV114: $i] :
( ( ( in @ SV114 @ SV20 )
= $false )
| ( ( in @ SV87 @ ( setunion @ SV20 ) )
= $true )
| ( ( in @ SV87 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(727,plain,
! [SV21: $i,SV88: $i,SV152: $i] :
( ( ( in @ SV152 @ SV88 )
= $false )
| ( ( in @ SV152 @ SV21 )
= $true )
| ( ( in @ SV88 @ ( powerset @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(728,plain,
! [SV29: $i,SV118: $i,SV92: $i > $o] :
( ( ( SV92 @ SV118 )
= $false )
| ( ( ( dsetconstr @ SV29
@ ^ [SY763: $i] : ( SV92 @ SY763 ) )
!= emptyset )
= $true )
| ( ( in @ SV118 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(729,plain,
! [SV38: $i,SV124: $i,SV96: $i > $o] :
( ( ( SV96 @ SV124 )
= $false )
| ( ( in @ SV124
@ ( dsetconstr @ SV38
@ ^ [SY769: $i] : ( SV96 @ SY769 ) ) )
= $true )
| ( ( in @ SV124 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(730,plain,
! [SV41: $i,SV171: $i,SV97: $i > $o] :
( ( ( ~ ( SV97 @ SV171 )
| ~ ( in @ SV171 @ SV41 ) )
= $true )
| ( ( in @ ( sK34_Xx @ SV97 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(731,plain,
! [SV41: $i,SV172: $i,SV97: $i > $o] :
( ( ( ~ ( SV97 @ SV172 )
| ~ ( in @ SV172 @ SV41 ) )
= $true )
| ( ( SV97 @ ( sK34_Xx @ SV97 @ SV41 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(732,plain,
! [SV42: $i,SV98: $i] :
( ( ( ~ ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV42 ) )
= $true )
| ( ( ~ ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV98 ) )
= $true )
| ( ( SV42 = SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[657]) ).
thf(733,plain,
! [SV42: $i,SV98: $i] :
( ( ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV42 )
= $true )
| ( ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV98 )
= $true )
| ( ( SV42 = SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[658]) ).
thf(734,plain,
! [SV43: $i,SV153: $o,SV99: $i] :
( ( ( ~ ( in @ SV99 @ ( sK29_B @ SV153 @ SV99 @ SV43 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ SV153 @ SV99 @ SV43 ) @ SV43 )
| ~ ~ SV153 ) )
= $false )
| ( SV153 = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(735,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ( in @ SV99 @ ( sK29_B @ $true @ SV99 @ SV43 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ $true @ SV99 @ SV43 ) @ SV43 )
| ~ ~ $true ) )
= $false )
| ( $true = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(736,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ( in @ SV99 @ ( sK29_B @ $false @ SV99 @ SV43 ) )
| ~ ~ ( ~ ( in @ ( sK29_B @ $false @ SV99 @ SV43 ) @ SV43 )
| ~ ~ $false ) )
= $false )
| ( $false = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(737,plain,
! [SV138: $i,SV44: $i,SV100: $i > $o] :
( ( ( ~ ( in @ ( sK33_Xx @ SV100 @ SV44 ) @ SV44 )
| ~ ~ ( SV100 @ ( sK33_Xx @ SV100 @ SV44 ) ) )
= $false )
| ( ( SV100 @ SV138 )
= $true )
| ( ( in @ SV138 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(738,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( SV45 @ ( sK40_Xy @ SV125 @ SV45 ) )
= $true )
| ( ( ~ ( SV45 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) )
| ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[663]) ).
thf(739,plain,
! [SV45: $i > $o,SV125: $i] :
( ( ( SV125
!= ( sK40_Xy @ SV125 @ SV45 ) )
= $true )
| ( ( ~ ( SV45 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) )
| ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(740,plain,
! [SV126: $i,SV46: $i > $o] :
( ( ( SV46 @ ( sK55_SY249 @ SV126 @ SV46 ) )
= $true )
| ( ( ~ ( SV46 @ SV126 ) )
= $true )
| ( ( ! [SY666: $i] :
( ~ ( SV46 @ SY666 )
| ! [SY667: $i] :
( ~ ( SV46 @ SY667 )
| ( SY666 = SY667 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(741,plain,
! [SV46: $i > $o,SV126: $i] :
( ( ( SV126
!= ( sK55_SY249 @ SV126 @ SV46 ) )
= $true )
| ( ( ~ ( SV46 @ SV126 ) )
= $true )
| ( ( ! [SY666: $i] :
( ~ ( SV46 @ SY666 )
| ! [SY667: $i] :
( ~ ( SV46 @ SY667 )
| ( SY666 = SY667 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(742,plain,
! [SV101: $i,SV47: $i,SV173: $i] :
( ( ( ~ ( in @ SV173 @ SV47 )
| ( in @ SV173 @ SV101 ) )
= $true )
| ( ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV47 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(743,plain,
! [SV47: $i,SV101: $i] :
( ( ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV101 )
= $false )
| ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV47 )
| ( in @ SY773 @ SV101 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(744,plain,
! [SV48: $i] :
( ( ( ~ ( in @ ( sK7_Xx @ SV48 ) @ omega )
| ~ ( in @ ( sK7_Xx @ SV48 ) @ SV48 ) )
= $false )
| ( ( ~ ( in @ emptyset @ SV48 ) )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(745,plain,
! [SV48: $i] :
( ( ( in @ ( setadjoin @ ( sK7_Xx @ SV48 ) @ ( sK7_Xx @ SV48 ) ) @ SV48 )
= $false )
| ( ( ~ ( in @ emptyset @ SV48 ) )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(746,plain,
! [SV49: $i,SV102: $i] :
( ( ( in @ ( sK28_Xx @ SV102 @ SV49 ) @ SV49 )
= $false )
| ( ( in @ SV102 @ ( powerset @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(747,plain,
! [SV127: $i,SV50: $i > $o] :
( ( ( SV50 @ ( sK46_SY225 @ SV127 @ SV50 ) )
= $true )
| ( ( ~ ( SV50 @ SV127 ) )
= $true )
| ( ( ! [SY673: $i] :
( ~ ( SV50 @ SY673 )
| ! [SY674: $i] :
( ~ ( SV50 @ SY674 )
| ( SY673 = SY674 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[673]) ).
thf(748,plain,
! [SV50: $i > $o,SV127: $i] :
( ( ( SV127
!= ( sK46_SY225 @ SV127 @ SV50 ) )
= $true )
| ( ( ~ ( SV50 @ SV127 ) )
= $true )
| ( ( ! [SY673: $i] :
( ~ ( SV50 @ SY673 )
| ! [SY674: $i] :
( ~ ( SV50 @ SY674 )
| ( SY673 = SY674 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(749,plain,
! [SV128: $i,SV51: $i > $o] :
( ( ( SV51 @ ( sK22_SY87 @ SV128 @ SV51 ) )
= $true )
| ( ( ~ ( SV51 @ SV128 ) )
= $true )
| ( ( SV51 @ ( sK21_Xx @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[675]) ).
thf(750,plain,
! [SV51: $i > $o,SV128: $i] :
( ( ( SV128
!= ( sK22_SY87 @ SV128 @ SV51 ) )
= $true )
| ( ( ~ ( SV51 @ SV128 ) )
= $true )
| ( ( SV51 @ ( sK21_Xx @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(751,plain,
! [SV52: $i,SV154: $i] :
( ( ( ~ ( ~ ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
| ~ ~ ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 ) ) )
= $true )
| ( ( ! [SY821: $i] :
~ ( in @ SY821 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(752,plain,
! [SV52: $i] :
( ( ! [SY681: $i,SY682: $i] :
( ~ ( in @ SY681 @ ( sK13_B @ SV52 ) )
| ~ ( in @ SY682 @ ( sK13_B @ SV52 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY681 )
| ( in @ SX3 @ SY682 ) )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SY682 )
| ( in @ SX3 @ SY681 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(753,plain,
! [SV52: $i] :
( ( ~ ( ~ ! [SY685: $i] :
( ~ ( in @ SY685 @ ( sK13_B @ SV52 ) )
| ! [SY686: $i] :
( ~ ( in @ SY686 @ SY685 )
| ( in @ SY686 @ SV52 ) ) )
| ~ ! [SY687: $i,SY688: $i] :
( ~ ( in @ SY687 @ SV52 )
| ~ ( in @ SY688 @ SV52 )
| ~ ( ~ ( in @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ~ ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) )
| ~ ( ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) ) ) )
| ( SY687 = SY688 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(754,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) @ SV53 )
| ~ ~ ( ~ ( in @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) @ SV103 )
| ~ ~ ( ( ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 )
!= ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ~ ( ~ ( ~ ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
| ~ ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) ) ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[680]) ).
thf(755,plain,
! [SV54: $i,SV104: $i] :
( ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 )
| ~ ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) ) )
= $true )
| ( ( SV54 = SV104 )
= $true )
| ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(756,plain,
! [SV54: $i,SV104: $i] :
( ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV104 )
= $false )
| ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 )
| ~ ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) )
| ( SV54 = SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(757,plain,
! [SV139: $i > $o,SV156: $i > $o] :
( ( ( ( ( sK53_Xx @ SV156 @ SV139 )
!= ( sK54_SY604 @ SV156 @ SV139 ) )
| ~ ~ ( ~ ( ~ ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ~ ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) )
| ~ ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) ) ) )
= $false )
| ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(758,plain,
! [SV140: $i > $o,SV157: $i > $o] :
( ( ( ( ( sK49_Xx @ SV157 @ SV140 )
!= ( sK50_SY602 @ SV157 @ SV140 ) )
| ~ ~ ( ~ ( ~ ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ~ ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) )
| ~ ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) ) ) )
= $false )
| ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(759,plain,
! [SV158: $i > $o,SV55: $i,SV168: $i] :
( ( ( ~ ( in @ SV168 @ SV55 ) )
= $true )
| ( ( ~ ( SV158 @ SV168 )
| ( in @ SV168
@ ( dsetconstr @ SV55
@ ^ [SY833: $i] : ( SV158 @ SY833 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(760,plain,
! [SV159: $i > $o,SV55: $i,SV169: $i] :
( ( ( ~ ( in @ SV169 @ SV55 ) )
= $true )
| ( ( ~ ( in @ SV169
@ ( dsetconstr @ SV55
@ ^ [SY835: $i] : ( SV159 @ SY835 ) ) )
| ( SV159 @ SV169 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(761,plain,
! [SV105: $i,SV56: $i] :
( ( ( ! [SY778: $i,SY779: $i] :
( ( SY778 != SY779 )
| ~ ( in @ SY778 @ SV56 )
| ( in @ SY779 @ SV105 ) ) )
= $true )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[687]) ).
thf(762,plain,
! [SV56: $i,SV105: $i] :
( ( ( ! [SY780: $i,SY781: $i] :
( ( SY780 != SY781 )
| ~ ( in @ SY781 @ SV105 )
| ( in @ SY780 @ SV56 ) ) )
= $true )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[688]) ).
thf(763,plain,
! [SV141: $i,SV57: $i,SV106: $i > $o] :
( ( ( ~ ( in @ ( sK36_Xx @ SV106 @ SV57 ) @ SV57 )
| ~ ~ ( SV106 @ ( sK36_Xx @ SV106 @ SV57 ) ) )
= $false )
| ( ( SV106 @ SV141 )
= $true )
| ( ( in @ SV141 @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(764,plain,
! [SV107: $i,SV58: $i > $i > $o] :
( ( ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(765,plain,
! [SV174: $i,SV107: $i,SV58: $i > $i > $o] :
( ( ( ~ ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
| ~ ( ( SV174
!= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) ) ) )
| ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 ) )
= $true )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(766,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( SV59 @ ( sK20_SY75 @ SV129 @ SV59 ) )
= $true )
| ( ( ~ ( SV59 @ SV129 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) )
| ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[692]) ).
thf(767,plain,
! [SV59: $i > $o,SV129: $i] :
( ( ( SV129
!= ( sK20_SY75 @ SV129 @ SV59 ) )
= $true )
| ( ( ~ ( SV59 @ SV129 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) )
| ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(768,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK42_Xx @ SV60 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(769,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ~ ( ~ ( SV60 @ ( sK43_SY599 @ SV60 ) )
| ~ ( ( ( sK42_Xx @ SV60 )
!= ( sK43_SY599 @ SV60 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(770,plain,
! [SV142: $i,SV61: $i,SV108: $i > $o] :
( ( ( ~ ( in @ ( sK38_Xx @ SV108 @ SV61 ) @ SV61 )
| ~ ~ ( SV108 @ ( sK38_Xx @ SV108 @ SV61 ) ) )
= $false )
| ( ( SV108 @ SV142 )
= $true )
| ( ( in @ SV142 @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(771,plain,
! [SV109: $i > $o,SV62: $i > $o] :
( ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[696]) ).
thf(772,plain,
! [SV109: $i > $o,SV62: $i > $o] :
( ( ( ~ ( ~ ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ~ ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) )
| ~ ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(773,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ ~ ( ~ ( ( SV131 = SV63 )
| ( in @ SV131 @ SV110 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SV131 = SV63 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) ) )
= $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(774,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( ( ~ ~ ( ~ ! [SY805: $o] :
( ~ SY805
| ( in @ SV131 @ SV110 )
| SY805 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) )
= $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(775,plain,
! [SV143: $i,SV175: $i,SV160: $i] :
( ( ( ~ ( in @ SV160 @ SV175 )
| ~ ( in @ SV175 @ SV143 ) )
= $true )
| ( ( in @ SV160 @ ( setunion @ SV143 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(776,plain,
! [SV144: $i,SV161: $i] :
( ( ( in @ SV161 @ ( setunion @ SV144 ) )
= $false )
| ( ( ~ ( ~ ( in @ SV161 @ ( sK6_B @ SV161 @ SV144 ) )
| ~ ( in @ ( sK6_B @ SV161 @ SV144 ) @ SV144 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(777,plain,
! [SV162: $i,SV64: $i,SV170: $i] :
( ( ( ~ ( in @ SV170 @ ( setadjoin @ SV64 @ SV162 ) ) )
= $true )
| ( ( ( SV170 = SV64 )
| ( in @ SV170 @ SV162 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(778,plain,
! [SV64: $i] :
( ( ! [SY732: $i,SY733: $i] :
( ( SY733 != SV64 )
| ( in @ SY733 @ ( setadjoin @ SV64 @ SY732 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[702]) ).
thf(779,plain,
! [SV64: $i] :
( ( ! [SY734: $i,SY735: $i] :
( ~ ( in @ SY735 @ SY734 )
| ( in @ SY735 @ ( setadjoin @ SV64 @ SY734 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(780,plain,
! [SV111: $i > $o,SV65: $i,SV176: $i] :
( ( ( ~ ( in @ SV176 @ SV65 )
| ~ ( SV111 @ SV176 ) )
= $true )
| ( ( SV111 @ ( sK37_Xx @ SV111 @ SV65 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(781,plain,
! [SV111: $i > $o,SV65: $i,SV177: $i] :
( ( ( ~ ( in @ SV177 @ SV65 )
| ~ ( SV111 @ SV177 ) )
= $true )
| ( ( in @ ( sK37_Xx @ SV111 @ SV65 ) @ SV65 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(782,plain,
! [SV145: $i,SV163: $i] :
( ( ( ~ ( in @ ( sK5_Xx @ SV163 @ SV145 ) @ SV163 )
| ~ ~ ( in @ ( sK5_Xx @ SV163 @ SV145 ) @ SV145 ) )
= $false )
| ( ( in @ SV163 @ ( powerset @ SV145 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(783,plain,
! [SV146: $i,SV164: $i] :
( ( ( in @ SV164 @ ( powerset @ SV146 ) )
= $false )
| ( ( ! [SY838: $i] :
( ~ ( in @ SY838 @ SV164 )
| ( in @ SY838 @ SV146 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(784,plain,
! [SV112: $i > $o,SV66: $i,SV178: $i] :
( ( ( ~ ( in @ SV178 @ SV66 )
| ~ ( SV112 @ SV178 ) )
= $true )
| ( ( SV112 @ ( sK35_Xx @ SV112 @ SV66 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[708]) ).
thf(785,plain,
! [SV112: $i > $o,SV66: $i,SV179: $i] :
( ( ( ~ ( in @ SV179 @ SV66 )
| ~ ( SV112 @ SV179 ) )
= $true )
| ( ( in @ ( sK35_Xx @ SV112 @ SV66 ) @ SV66 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(786,plain,
( ( in @ sK3_SY562 @ sK2_SY558 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(787,plain,
! [SV67: $i > $o,SV132: $i] :
( ( ( ( sK45_Xy @ SV132 @ SV67 )
!= SV132 )
= $true )
| ( ( ~ ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) )
| ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(788,plain,
! [SV67: $i > $o,SV132: $i] :
( ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $true )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $true )
| ( ( ~ ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) )
| ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(789,plain,
! [SV133: $i,SV68: $i] :
( ( ( in @ ( sK12_B @ SV68 ) @ SV68 )
= $true )
| ( ( in @ SV133 @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(790,plain,
! [SV133: $i,SV68: $i] :
( ( ( ! [SY743: $i] :
( ~ ( in @ SY743 @ ( sK12_B @ SV68 ) )
| ~ ( in @ SY743 @ SV68 ) ) )
= $true )
| ( ( in @ SV133 @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[716]) ).
thf(791,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
= $true )
| ( ( ~ ( SV69 @ SV134 ) )
= $true )
| ( ( ~ ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) )
| ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[717]) ).
thf(792,plain,
! [SV69: $i > $o,SV134: $i] :
( ( ( SV134
!= ( sK31_SY143 @ SV134 @ SV69 ) )
= $true )
| ( ( ~ ( SV69 @ SV134 ) )
= $true )
| ( ( ~ ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) )
| ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(793,plain,
! [SV135: $i,SV70: $i > $o] :
( ( ( SV70 @ ( sK18_SY58 @ SV135 @ SV70 ) )
= $true )
| ( ( ~ ( SV70 @ SV135 ) )
= $true )
| ( ( SV70
@ ( descr
@ ^ [SY748: $i] : ( SV70 @ SY748 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(794,plain,
! [SV70: $i > $o,SV135: $i] :
( ( ( SV135
!= ( sK18_SY58 @ SV135 @ SV70 ) )
= $true )
| ( ( ~ ( SV70 @ SV135 ) )
= $true )
| ( ( SV70
@ ( descr
@ ^ [SY748: $i] : ( SV70 @ SY748 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(795,plain,
! [SV75: $i,SV5: $i,SV165: $i,SV150: $i] :
( ( ( SV150 = SV165 )
= $false )
| ( ( ( setadjoin @ SV5 @ SV150 )
= ( setadjoin @ SV75 @ SV165 ) )
= $true )
| ( ( SV5 = SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(796,plain,
! [SV76: $i,SV6: $i,SV166: $i,SV151: $i] :
( ( ( SV151 = SV166 )
= $false )
| ( ( ~ ( in @ SV151 @ SV6 )
| ( in @ SV166 @ SV76 ) )
= $true )
| ( ( SV6 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(797,plain,
! [SV136: $i,SV78: $i > $o,SV10: $i] :
( ( ( ( dsetconstr @ SV10
@ ^ [SY756: $i] : ( SV78 @ SY756 ) )
= emptyset )
= $false )
| ( ( SV78 @ SV136 )
= $false )
| ( ( in @ SV136 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(798,plain,
! [SV118: $i,SV92: $i > $o,SV29: $i] :
( ( ( ( dsetconstr @ SV29
@ ^ [SY763: $i] : ( SV92 @ SY763 ) )
= emptyset )
= $false )
| ( ( SV92 @ SV118 )
= $false )
| ( ( in @ SV118 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(799,plain,
! [SV41: $i,SV171: $i,SV97: $i > $o] :
( ( ( ~ ( SV97 @ SV171 ) )
= $true )
| ( ( ~ ( in @ SV171 @ SV41 ) )
= $true )
| ( ( in @ ( sK34_Xx @ SV97 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(800,plain,
! [SV41: $i,SV172: $i,SV97: $i > $o] :
( ( ( ~ ( SV97 @ SV172 ) )
= $true )
| ( ( ~ ( in @ SV172 @ SV41 ) )
= $true )
| ( ( SV97 @ ( sK34_Xx @ SV97 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(801,plain,
! [SV42: $i,SV98: $i] :
( ( ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV42 )
= $false )
| ( ( ~ ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV98 ) )
= $true )
| ( ( SV42 = SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(802,plain,
! [SV43: $i,SV153: $o,SV99: $i] :
( ( ( ~ ( in @ SV99 @ ( sK29_B @ SV153 @ SV99 @ SV43 ) ) )
= $false )
| ( SV153 = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[734]) ).
thf(803,plain,
! [SV43: $i,SV99: $i,SV153: $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK29_B @ SV153 @ SV99 @ SV43 ) @ SV43 )
| ~ ~ SV153 ) )
= $false )
| ( SV153 = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[734]) ).
thf(804,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ( in @ SV99 @ ( sK29_B @ $true @ SV99 @ SV43 ) ) )
= $false )
| ( $true = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(805,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK29_B @ $true @ SV99 @ SV43 ) @ SV43 )
| ~ ~ $true ) )
= $false )
| ( $true = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(806,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ( in @ SV99 @ ( sK29_B @ $false @ SV99 @ SV43 ) ) )
= $false )
| ( $false = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(807,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK29_B @ $false @ SV99 @ SV43 ) @ SV43 )
| ~ ~ $false ) )
= $false )
| ( $false = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(808,plain,
! [SV138: $i,SV44: $i,SV100: $i > $o] :
( ( ( ~ ( in @ ( sK33_Xx @ SV100 @ SV44 ) @ SV44 ) )
= $false )
| ( ( SV100 @ SV138 )
= $true )
| ( ( in @ SV138 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[737]) ).
thf(809,plain,
! [SV138: $i,SV44: $i,SV100: $i > $o] :
( ( ( ~ ~ ( SV100 @ ( sK33_Xx @ SV100 @ SV44 ) ) )
= $false )
| ( ( SV100 @ SV138 )
= $true )
| ( ( in @ SV138 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[737]) ).
thf(810,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( SV45 @ SV125 )
= $false )
| ( ( SV45 @ ( sK40_Xy @ SV125 @ SV45 ) )
= $true )
| ( ( ~ ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) )
| ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(811,plain,
! [SV45: $i > $o,SV125: $i] :
( ( ( SV125
= ( sK40_Xy @ SV125 @ SV45 ) )
= $false )
| ( ( ~ ( SV45 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) )
| ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(812,plain,
! [SV126: $i,SV46: $i > $o] :
( ( ( SV46 @ SV126 )
= $false )
| ( ( SV46 @ ( sK55_SY249 @ SV126 @ SV46 ) )
= $true )
| ( ( ! [SY666: $i] :
( ~ ( SV46 @ SY666 )
| ! [SY667: $i] :
( ~ ( SV46 @ SY667 )
| ( SY666 = SY667 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(813,plain,
! [SV46: $i > $o,SV126: $i] :
( ( ( SV126
= ( sK55_SY249 @ SV126 @ SV46 ) )
= $false )
| ( ( ~ ( SV46 @ SV126 ) )
= $true )
| ( ( ! [SY666: $i] :
( ~ ( SV46 @ SY666 )
| ! [SY667: $i] :
( ~ ( SV46 @ SY667 )
| ( SY666 = SY667 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(814,plain,
! [SV101: $i,SV47: $i,SV173: $i] :
( ( ( ~ ( in @ SV173 @ SV47 ) )
= $true )
| ( ( in @ SV173 @ SV101 )
= $true )
| ( ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(815,plain,
! [SV101: $i,SV47: $i,SV180: $i] :
( ( ( ~ ( in @ SV180 @ SV47 )
| ( in @ SV180 @ SV101 ) )
= $true )
| ( ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV101 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(816,plain,
! [SV48: $i] :
( ( ( ~ ( in @ ( sK7_Xx @ SV48 ) @ omega ) )
= $false )
| ( ( ~ ( in @ emptyset @ SV48 ) )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[744]) ).
thf(817,plain,
! [SV48: $i] :
( ( ( ~ ( in @ ( sK7_Xx @ SV48 ) @ SV48 ) )
= $false )
| ( ( ~ ( in @ emptyset @ SV48 ) )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[744]) ).
thf(818,plain,
! [SV48: $i] :
( ( ( in @ emptyset @ SV48 )
= $false )
| ( ( in @ ( setadjoin @ ( sK7_Xx @ SV48 ) @ ( sK7_Xx @ SV48 ) ) @ SV48 )
= $false )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(819,plain,
! [SV127: $i,SV50: $i > $o] :
( ( ( SV50 @ SV127 )
= $false )
| ( ( SV50 @ ( sK46_SY225 @ SV127 @ SV50 ) )
= $true )
| ( ( ! [SY673: $i] :
( ~ ( SV50 @ SY673 )
| ! [SY674: $i] :
( ~ ( SV50 @ SY674 )
| ( SY673 = SY674 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(820,plain,
! [SV50: $i > $o,SV127: $i] :
( ( ( SV127
= ( sK46_SY225 @ SV127 @ SV50 ) )
= $false )
| ( ( ~ ( SV50 @ SV127 ) )
= $true )
| ( ( ! [SY673: $i] :
( ~ ( SV50 @ SY673 )
| ! [SY674: $i] :
( ~ ( SV50 @ SY674 )
| ( SY673 = SY674 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(821,plain,
! [SV128: $i,SV51: $i > $o] :
( ( ( SV51 @ SV128 )
= $false )
| ( ( SV51 @ ( sK22_SY87 @ SV128 @ SV51 ) )
= $true )
| ( ( SV51 @ ( sK21_Xx @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(822,plain,
! [SV51: $i > $o,SV128: $i] :
( ( ( SV128
= ( sK22_SY87 @ SV128 @ SV51 ) )
= $false )
| ( ( ~ ( SV51 @ SV128 ) )
= $true )
| ( ( SV51 @ ( sK21_Xx @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(823,plain,
! [SV52: $i,SV154: $i] :
( ( ( ~ ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
| ~ ~ ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 ) )
= $false )
| ( ( ! [SY821: $i] :
~ ( in @ SY821 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(824,plain,
! [SV52: $i,SV181: $i] :
( ( ! [SY843: $i] :
( ~ ( in @ SV181 @ ( sK13_B @ SV52 ) )
| ~ ( in @ SY843 @ ( sK13_B @ SV52 ) )
| ! [SY844: $i] :
( ~ ( in @ SY844 @ SV181 )
| ( in @ SY844 @ SY843 ) )
| ! [SY845: $i] :
( ~ ( in @ SY845 @ SY843 )
| ( in @ SY845 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(825,plain,
! [SV52: $i] :
( ( ~ ! [SY685: $i] :
( ~ ( in @ SY685 @ ( sK13_B @ SV52 ) )
| ! [SY686: $i] :
( ~ ( in @ SY686 @ SY685 )
| ( in @ SY686 @ SV52 ) ) )
| ~ ! [SY687: $i,SY688: $i] :
( ~ ( in @ SY687 @ SV52 )
| ~ ( in @ SY688 @ SV52 )
| ~ ( ~ ( in @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ~ ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) )
| ~ ( ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) ) ) )
| ( SY687 = SY688 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(826,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( ~ ( in @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) @ SV53 )
| ~ ~ ( ~ ( in @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) @ SV103 )
| ~ ~ ( ( ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 )
!= ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ~ ( ~ ( ~ ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
| ~ ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(827,plain,
! [SV54: $i,SV104: $i] :
( ( ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 )
| ~ ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) )
= $false )
| ( ( SV54 = SV104 )
= $true )
| ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(828,plain,
! [SV54: $i,SV104: $i] :
( ( ( ~ ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 )
| ~ ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) ) )
= $true )
| ( ( SV54 = SV104 )
= $true )
| ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(829,plain,
! [SV139: $i > $o,SV156: $i > $o] :
( ( ( ( sK53_Xx @ SV156 @ SV139 )
!= ( sK54_SY604 @ SV156 @ SV139 ) )
= $false )
| ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(830,plain,
! [SV156: $i > $o,SV139: $i > $o] :
( ( ( ~ ~ ( ~ ( ~ ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ~ ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) )
| ~ ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) ) ) )
= $false )
| ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(831,plain,
! [SV140: $i > $o,SV157: $i > $o] :
( ( ( ( sK49_Xx @ SV157 @ SV140 )
!= ( sK50_SY602 @ SV157 @ SV140 ) )
= $false )
| ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(832,plain,
! [SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ~ ( ~ ( ~ ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ~ ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) )
| ~ ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) ) ) )
= $false )
| ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(833,plain,
! [SV158: $i > $o,SV55: $i,SV168: $i] :
( ( ( in @ SV168 @ SV55 )
= $false )
| ( ( ~ ( SV158 @ SV168 )
| ( in @ SV168
@ ( dsetconstr @ SV55
@ ^ [SY833: $i] : ( SV158 @ SY833 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(834,plain,
! [SV159: $i > $o,SV55: $i,SV169: $i] :
( ( ( in @ SV169 @ SV55 )
= $false )
| ( ( ~ ( in @ SV169
@ ( dsetconstr @ SV55
@ ^ [SY835: $i] : ( SV159 @ SY835 ) ) )
| ( SV159 @ SV169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(835,plain,
! [SV105: $i,SV56: $i,SV182: $i] :
( ( ( ! [SY846: $i] :
( ( SV182 != SY846 )
| ~ ( in @ SV182 @ SV56 )
| ( in @ SY846 @ SV105 ) ) )
= $true )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[761]) ).
thf(836,plain,
! [SV56: $i,SV105: $i,SV183: $i] :
( ( ( ! [SY847: $i] :
( ( SV183 != SY847 )
| ~ ( in @ SY847 @ SV105 )
| ( in @ SV183 @ SV56 ) ) )
= $true )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(837,plain,
! [SV141: $i,SV57: $i,SV106: $i > $o] :
( ( ( ~ ( in @ ( sK36_Xx @ SV106 @ SV57 ) @ SV57 ) )
= $false )
| ( ( SV106 @ SV141 )
= $true )
| ( ( in @ SV141 @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[763]) ).
thf(838,plain,
! [SV141: $i,SV57: $i,SV106: $i > $o] :
( ( ( ~ ~ ( SV106 @ ( sK36_Xx @ SV106 @ SV57 ) ) )
= $false )
| ( ( SV106 @ SV141 )
= $true )
| ( ( in @ SV141 @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[763]) ).
thf(839,plain,
! [SV107: $i,SV58: $i > $i > $o] :
( ( ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[764]) ).
thf(840,plain,
! [SV58: $i > $i > $o,SV107: $i] :
( ( ( ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[764]) ).
thf(841,plain,
! [SV174: $i,SV107: $i,SV58: $i > $i > $o] :
( ( ( ~ ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
| ~ ( ( SV174
!= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) ) ) ) )
= $true )
| ( ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 ) )
= $true )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(842,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( SV59 @ SV129 )
= $false )
| ( ( SV59 @ ( sK20_SY75 @ SV129 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) )
| ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(843,plain,
! [SV59: $i > $o,SV129: $i] :
( ( ( SV129
= ( sK20_SY75 @ SV129 @ SV59 ) )
= $false )
| ( ( ~ ( SV59 @ SV129 ) )
= $true )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) )
| ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(844,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( SV60 @ ( sK42_Xx @ SV60 ) )
= $true )
| ( ( ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(845,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ( ~ ( SV60 @ ( sK43_SY599 @ SV60 ) )
| ~ ( ( ( sK42_Xx @ SV60 )
!= ( sK43_SY599 @ SV60 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(846,plain,
! [SV142: $i,SV61: $i,SV108: $i > $o] :
( ( ( ~ ( in @ ( sK38_Xx @ SV108 @ SV61 ) @ SV61 ) )
= $false )
| ( ( SV108 @ SV142 )
= $true )
| ( ( in @ SV142 @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(847,plain,
! [SV142: $i,SV61: $i,SV108: $i > $o] :
( ( ( ~ ~ ( SV108 @ ( sK38_Xx @ SV108 @ SV61 ) ) )
= $false )
| ( ( SV108 @ SV142 )
= $true )
| ( ( in @ SV142 @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(848,plain,
! [SV109: $i > $o,SV184: $i,SV62: $i > $o] :
( ( ( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
| ~ ( ( SV184
!= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SV184 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[771]) ).
thf(849,plain,
! [SV109: $i > $o,SV62: $i > $o] :
( ( ( ~ ( ~ ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ~ ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(850,plain,
! [SV109: $i > $o,SV62: $i > $o] :
( ( ( ~ ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(851,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ ( ~ ( ( SV131 = SV63 )
| ( in @ SV131 @ SV110 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SV131 = SV63 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) ) )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(852,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( ( ~ ( ~ ! [SY805: $o] :
( ~ SY805
| ( in @ SV131 @ SV110 )
| SY805 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) ) )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[774]) ).
thf(853,plain,
! [SV143: $i,SV175: $i,SV160: $i] :
( ( ( ~ ( in @ SV160 @ SV175 ) )
= $true )
| ( ( ~ ( in @ SV175 @ SV143 ) )
= $true )
| ( ( in @ SV160 @ ( setunion @ SV143 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(854,plain,
! [SV144: $i,SV161: $i] :
( ( ( ~ ( in @ SV161 @ ( sK6_B @ SV161 @ SV144 ) )
| ~ ( in @ ( sK6_B @ SV161 @ SV144 ) @ SV144 ) )
= $false )
| ( ( in @ SV161 @ ( setunion @ SV144 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(855,plain,
! [SV162: $i,SV64: $i,SV170: $i] :
( ( ( in @ SV170 @ ( setadjoin @ SV64 @ SV162 ) )
= $false )
| ( ( ( SV170 = SV64 )
| ( in @ SV170 @ SV162 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(856,plain,
! [SV185: $i,SV64: $i] :
( ( ! [SY848: $i] :
( ( SY848 != SV64 )
| ( in @ SY848 @ ( setadjoin @ SV64 @ SV185 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(857,plain,
! [SV64: $i,SV186: $i] :
( ( ! [SY849: $i] :
( ~ ( in @ SY849 @ SV186 )
| ( in @ SY849 @ ( setadjoin @ SV64 @ SV186 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(858,plain,
! [SV111: $i > $o,SV65: $i,SV176: $i] :
( ( ( ~ ( in @ SV176 @ SV65 ) )
= $true )
| ( ( ~ ( SV111 @ SV176 ) )
= $true )
| ( ( SV111 @ ( sK37_Xx @ SV111 @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[780]) ).
thf(859,plain,
! [SV111: $i > $o,SV65: $i,SV177: $i] :
( ( ( ~ ( in @ SV177 @ SV65 ) )
= $true )
| ( ( ~ ( SV111 @ SV177 ) )
= $true )
| ( ( in @ ( sK37_Xx @ SV111 @ SV65 ) @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(860,plain,
! [SV145: $i,SV163: $i] :
( ( ( ~ ( in @ ( sK5_Xx @ SV163 @ SV145 ) @ SV163 ) )
= $false )
| ( ( in @ SV163 @ ( powerset @ SV145 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[782]) ).
thf(861,plain,
! [SV145: $i,SV163: $i] :
( ( ( ~ ~ ( in @ ( sK5_Xx @ SV163 @ SV145 ) @ SV145 ) )
= $false )
| ( ( in @ SV163 @ ( powerset @ SV145 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[782]) ).
thf(862,plain,
! [SV146: $i,SV164: $i,SV187: $i] :
( ( ( ~ ( in @ SV187 @ SV164 )
| ( in @ SV187 @ SV146 ) )
= $true )
| ( ( in @ SV164 @ ( powerset @ SV146 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(863,plain,
! [SV112: $i > $o,SV66: $i,SV178: $i] :
( ( ( ~ ( in @ SV178 @ SV66 ) )
= $true )
| ( ( ~ ( SV112 @ SV178 ) )
= $true )
| ( ( SV112 @ ( sK35_Xx @ SV112 @ SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[784]) ).
thf(864,plain,
! [SV112: $i > $o,SV66: $i,SV179: $i] :
( ( ( ~ ( in @ SV179 @ SV66 ) )
= $true )
| ( ( ~ ( SV112 @ SV179 ) )
= $true )
| ( ( in @ ( sK35_Xx @ SV112 @ SV66 ) @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[785]) ).
thf(865,plain,
! [SV67: $i > $o,SV132: $i] :
( ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $false )
| ( ( ~ ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) )
| ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(866,plain,
! [SV132: $i,SV67: $i > $o] :
( ( ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) )
| ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) )
= $false )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $true )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[788]) ).
thf(867,plain,
! [SV133: $i,SV68: $i,SV188: $i] :
( ( ( ~ ( in @ SV188 @ ( sK12_B @ SV68 ) )
| ~ ( in @ SV188 @ SV68 ) )
= $true )
| ( ( in @ SV133 @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(868,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( SV69 @ SV134 )
= $false )
| ( ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
= $true )
| ( ( ~ ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) )
| ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(869,plain,
! [SV69: $i > $o,SV134: $i] :
( ( ( SV134
= ( sK31_SY143 @ SV134 @ SV69 ) )
= $false )
| ( ( ~ ( SV69 @ SV134 ) )
= $true )
| ( ( ~ ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) )
| ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(870,plain,
! [SV135: $i,SV70: $i > $o] :
( ( ( SV70 @ SV135 )
= $false )
| ( ( SV70 @ ( sK18_SY58 @ SV135 @ SV70 ) )
= $true )
| ( ( SV70
@ ( descr
@ ^ [SY748: $i] : ( SV70 @ SY748 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(871,plain,
! [SV70: $i > $o,SV135: $i] :
( ( ( SV135
= ( sK18_SY58 @ SV135 @ SV70 ) )
= $false )
| ( ( ~ ( SV70 @ SV135 ) )
= $true )
| ( ( SV70
@ ( descr
@ ^ [SY748: $i] : ( SV70 @ SY748 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(872,plain,
! [SV76: $i,SV166: $i,SV6: $i,SV151: $i] :
( ( ( ~ ( in @ SV151 @ SV6 ) )
= $true )
| ( ( in @ SV166 @ SV76 )
= $true )
| ( ( SV151 = SV166 )
= $false )
| ( ( SV6 = SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[796]) ).
thf(873,plain,
! [SV41: $i,SV171: $i,SV97: $i > $o] :
( ( ( SV97 @ SV171 )
= $false )
| ( ( ~ ( in @ SV171 @ SV41 ) )
= $true )
| ( ( in @ ( sK34_Xx @ SV97 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(874,plain,
! [SV41: $i,SV172: $i,SV97: $i > $o] :
( ( ( SV97 @ SV172 )
= $false )
| ( ( ~ ( in @ SV172 @ SV41 ) )
= $true )
| ( ( SV97 @ ( sK34_Xx @ SV97 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(875,plain,
! [SV42: $i,SV98: $i] :
( ( ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV98 )
= $false )
| ( ( in @ ( sK4_Xx @ SV98 @ SV42 ) @ SV42 )
= $false )
| ( ( SV42 = SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(876,plain,
! [SV43: $i,SV153: $o,SV99: $i] :
( ( ( in @ SV99 @ ( sK29_B @ SV153 @ SV99 @ SV43 ) )
= $true )
| ( SV153 = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[802]) ).
thf(877,plain,
! [SV43: $i,SV99: $i,SV153: $o] :
( ( ( ~ ( ~ ( in @ ( sK29_B @ SV153 @ SV99 @ SV43 ) @ SV43 )
| ~ ~ SV153 ) )
= $true )
| ( SV153 = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[803]) ).
thf(878,plain,
! [SV43: $i,SV99: $i] :
( ( ( in @ SV99 @ ( sK29_B @ $true @ SV99 @ SV43 ) )
= $true )
| ( $true = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[804]) ).
thf(879,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ( ~ ( in @ ( sK29_B @ $true @ SV99 @ SV43 ) @ SV43 )
| ~ ~ $true ) )
= $true )
| ( $true = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(880,plain,
! [SV43: $i,SV99: $i] :
( ( ( in @ SV99 @ ( sK29_B @ $false @ SV99 @ SV43 ) )
= $true )
| ( $false = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[806]) ).
thf(881,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ( ~ ( in @ ( sK29_B @ $false @ SV99 @ SV43 ) @ SV43 )
| ~ ~ $false ) )
= $true )
| ( $false = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(882,plain,
! [SV138: $i,SV44: $i,SV100: $i > $o] :
( ( ( in @ ( sK33_Xx @ SV100 @ SV44 ) @ SV44 )
= $true )
| ( ( SV100 @ SV138 )
= $true )
| ( ( in @ SV138 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[808]) ).
thf(883,plain,
! [SV138: $i,SV44: $i,SV100: $i > $o] :
( ( ( ~ ( SV100 @ ( sK33_Xx @ SV100 @ SV44 ) ) )
= $true )
| ( ( SV100 @ SV138 )
= $true )
| ( ( in @ SV138 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[809]) ).
thf(884,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) )
| ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) )
= $false )
| ( ( SV45 @ ( sK40_Xy @ SV125 @ SV45 ) )
= $true )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(885,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( SV45 @ SV125 )
= $false )
| ( ( SV125
= ( sK40_Xy @ SV125 @ SV45 ) )
= $false )
| ( ( ~ ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) )
| ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(886,plain,
! [SV126: $i,SV189: $i,SV46: $i > $o] :
( ( ( ~ ( SV46 @ SV189 )
| ! [SY850: $i] :
( ~ ( SV46 @ SY850 )
| ( SV189 = SY850 ) ) )
= $true )
| ( ( SV46 @ ( sK55_SY249 @ SV126 @ SV46 ) )
= $true )
| ( ( SV46 @ SV126 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(887,plain,
! [SV126: $i,SV46: $i > $o] :
( ( ( SV46 @ SV126 )
= $false )
| ( ( SV126
= ( sK55_SY249 @ SV126 @ SV46 ) )
= $false )
| ( ( ! [SY666: $i] :
( ~ ( SV46 @ SY666 )
| ! [SY667: $i] :
( ~ ( SV46 @ SY667 )
| ( SY666 = SY667 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(888,plain,
! [SV101: $i,SV47: $i,SV173: $i] :
( ( ( in @ SV173 @ SV47 )
= $false )
| ( ( in @ SV173 @ SV101 )
= $true )
| ( ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(889,plain,
! [SV101: $i,SV47: $i,SV180: $i] :
( ( ( ~ ( in @ SV180 @ SV47 ) )
= $true )
| ( ( in @ SV180 @ SV101 )
= $true )
| ( ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[815]) ).
thf(890,plain,
! [SV48: $i] :
( ( ( in @ ( sK7_Xx @ SV48 ) @ omega )
= $true )
| ( ( ~ ( in @ emptyset @ SV48 ) )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(891,plain,
! [SV48: $i] :
( ( ( in @ ( sK7_Xx @ SV48 ) @ SV48 )
= $true )
| ( ( ~ ( in @ emptyset @ SV48 ) )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[817]) ).
thf(892,plain,
! [SV48: $i,SV190: $i] :
( ( ( ~ ( in @ SV190 @ omega )
| ( in @ SV190 @ SV48 ) )
= $true )
| ( ( in @ ( setadjoin @ ( sK7_Xx @ SV48 ) @ ( sK7_Xx @ SV48 ) ) @ SV48 )
= $false )
| ( ( in @ emptyset @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(893,plain,
! [SV127: $i,SV191: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV191 )
| ! [SY851: $i] :
( ~ ( SV50 @ SY851 )
| ( SV191 = SY851 ) ) )
= $true )
| ( ( SV50 @ ( sK46_SY225 @ SV127 @ SV50 ) )
= $true )
| ( ( SV50 @ SV127 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(894,plain,
! [SV127: $i,SV50: $i > $o] :
( ( ( SV50 @ SV127 )
= $false )
| ( ( SV127
= ( sK46_SY225 @ SV127 @ SV50 ) )
= $false )
| ( ( ! [SY673: $i] :
( ~ ( SV50 @ SY673 )
| ! [SY674: $i] :
( ~ ( SV50 @ SY674 )
| ( SY673 = SY674 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(895,plain,
! [SV128: $i,SV51: $i > $o] :
( ( ( SV51 @ SV128 )
= $false )
| ( ( SV128
= ( sK22_SY87 @ SV128 @ SV51 ) )
= $false )
| ( ( SV51 @ ( sK21_Xx @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(896,plain,
! [SV52: $i,SV154: $i] :
( ( ( ~ ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 ) )
= $false )
| ( ( ! [SY821: $i] :
~ ( in @ SY821 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(897,plain,
! [SV52: $i,SV154: $i] :
( ( ( ~ ~ ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 ) )
= $false )
| ( ( ! [SY821: $i] :
~ ( in @ SY821 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(898,plain,
! [SV192: $i,SV52: $i,SV181: $i] :
( ( ~ ( in @ SV181 @ ( sK13_B @ SV52 ) )
| ~ ( in @ SV192 @ ( sK13_B @ SV52 ) )
| ! [SY852: $i] :
( ~ ( in @ SY852 @ SV181 )
| ( in @ SY852 @ SV192 ) )
| ! [SY853: $i] :
( ~ ( in @ SY853 @ SV192 )
| ( in @ SY853 @ SV181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(899,plain,
! [SV52: $i] :
( ( ~ ! [SY685: $i] :
( ~ ( in @ SY685 @ ( sK13_B @ SV52 ) )
| ! [SY686: $i] :
( ~ ( in @ SY686 @ SY685 )
| ( in @ SY686 @ SV52 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(900,plain,
! [SV52: $i] :
( ( ~ ! [SY687: $i,SY688: $i] :
( ~ ( in @ SY687 @ SV52 )
| ~ ( in @ SY688 @ SV52 )
| ~ ( ~ ( in @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ~ ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) )
| ~ ( ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) ) ) )
| ( SY687 = SY688 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(901,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( ~ ( in @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) @ SV53 ) )
= $false )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[826]) ).
thf(902,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) @ SV103 )
| ~ ~ ( ( ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 )
!= ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ~ ( ~ ( ~ ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
| ~ ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[826]) ).
thf(903,plain,
! [SV54: $i,SV104: $i] :
( ( ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 ) )
= $false )
| ( ( SV54 = SV104 )
= $true )
| ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV54 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[827]) ).
thf(904,plain,
! [SV54: $i,SV104: $i] :
( ( ( ~ ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) )
= $false )
| ( ( SV54 = SV104 )
= $true )
| ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV54 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[827]) ).
thf(905,plain,
! [SV54: $i,SV104: $i] :
( ( ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 )
| ~ ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) )
= $false )
| ( ( SV54 = SV104 )
= $true )
| ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(906,plain,
! [SV139: $i > $o,SV156: $i > $o] :
( ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[829]) ).
thf(907,plain,
! [SV156: $i > $o,SV139: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ~ ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) )
| ~ ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) ) ) )
= $true )
| ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[830]) ).
thf(908,plain,
! [SV140: $i > $o,SV157: $i > $o] :
( ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[831]) ).
thf(909,plain,
! [SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ~ ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) )
| ~ ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) ) ) )
= $true )
| ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[832]) ).
thf(910,plain,
! [SV55: $i,SV168: $i,SV158: $i > $o] :
( ( ( ~ ( SV158 @ SV168 ) )
= $true )
| ( ( in @ SV168
@ ( dsetconstr @ SV55
@ ^ [SY833: $i] : ( SV158 @ SY833 ) ) )
= $true )
| ( ( in @ SV168 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[833]) ).
thf(911,plain,
! [SV159: $i > $o,SV55: $i,SV169: $i] :
( ( ( ~ ( in @ SV169
@ ( dsetconstr @ SV55
@ ^ [SY835: $i] : ( SV159 @ SY835 ) ) ) )
= $true )
| ( ( SV159 @ SV169 )
= $true )
| ( ( in @ SV169 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(912,plain,
! [SV105: $i,SV56: $i,SV193: $i,SV182: $i] :
( ( ( ( SV182 != SV193 )
| ~ ( in @ SV182 @ SV56 )
| ( in @ SV193 @ SV105 ) )
= $true )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(913,plain,
! [SV56: $i,SV105: $i,SV194: $i,SV183: $i] :
( ( ( ( SV183 != SV194 )
| ~ ( in @ SV194 @ SV105 )
| ( in @ SV183 @ SV56 ) )
= $true )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(914,plain,
! [SV141: $i,SV57: $i,SV106: $i > $o] :
( ( ( in @ ( sK36_Xx @ SV106 @ SV57 ) @ SV57 )
= $true )
| ( ( SV106 @ SV141 )
= $true )
| ( ( in @ SV141 @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[837]) ).
thf(915,plain,
! [SV141: $i,SV57: $i,SV106: $i > $o] :
( ( ( ~ ( SV106 @ ( sK36_Xx @ SV106 @ SV57 ) ) )
= $true )
| ( ( SV106 @ SV141 )
= $true )
| ( ( in @ SV141 @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[838]) ).
thf(916,plain,
! [SV107: $i,SV58: $i > $i > $o] :
( ( ( ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[839]) ).
thf(917,plain,
! [SV58: $i > $i > $o,SV107: $i] :
( ( ( ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[840]) ).
thf(918,plain,
! [SV174: $i,SV107: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
| ~ ( ( SV174
!= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) ) ) )
= $false )
| ( ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 ) )
= $true )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(919,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) )
| ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) )
= $false )
| ( ( SV59 @ ( sK20_SY75 @ SV129 @ SV59 ) )
= $true )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(920,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( SV59 @ SV129 )
= $false )
| ( ( SV129
= ( sK20_SY75 @ SV129 @ SV59 ) )
= $false )
| ( ( ~ ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) )
| ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(921,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) )
= $false )
| ( ( SV60 @ ( sK42_Xx @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(922,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK43_SY599 @ SV60 ) )
| ~ ( ( ( sK42_Xx @ SV60 )
!= ( sK43_SY599 @ SV60 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(923,plain,
! [SV142: $i,SV61: $i,SV108: $i > $o] :
( ( ( in @ ( sK38_Xx @ SV108 @ SV61 ) @ SV61 )
= $true )
| ( ( SV108 @ SV142 )
= $true )
| ( ( in @ SV142 @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[846]) ).
thf(924,plain,
! [SV142: $i,SV61: $i,SV108: $i > $o] :
( ( ( ~ ( SV108 @ ( sK38_Xx @ SV108 @ SV61 ) ) )
= $true )
| ( ( SV108 @ SV142 )
= $true )
| ( ( in @ SV142 @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[847]) ).
thf(925,plain,
! [SV109: $i > $o,SV184: $i,SV62: $i > $o] :
( ( ( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
| ~ ( ( SV184
!= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) ) ) ) )
= $true )
| ( ( ~ ( SV62 @ SV184 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[848]) ).
thf(926,plain,
! [SV109: $i > $o,SV62: $i > $o] :
( ( ( ~ ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ~ ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) )
= $true )
| ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[849]) ).
thf(927,plain,
! [SV109: $i > $o,SV62: $i > $o] :
( ( ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
| ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) )
= $true )
| ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[850]) ).
thf(928,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ ( ( SV131 = SV63 )
| ( in @ SV131 @ SV110 )
| ! [SX3: $o] : SX3 )
| ~ ( ( SV131 = SV63 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
= $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(929,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( ( ~ ! [SY805: $o] :
( ~ SY805
| ( in @ SV131 @ SV110 )
| SY805 )
| ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) )
= $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(930,plain,
! [SV143: $i,SV175: $i,SV160: $i] :
( ( ( in @ SV160 @ SV175 )
= $false )
| ( ( ~ ( in @ SV175 @ SV143 ) )
= $true )
| ( ( in @ SV160 @ ( setunion @ SV143 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(931,plain,
! [SV144: $i,SV161: $i] :
( ( ( ~ ( in @ SV161 @ ( sK6_B @ SV161 @ SV144 ) ) )
= $false )
| ( ( in @ SV161 @ ( setunion @ SV144 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[854]) ).
thf(932,plain,
! [SV144: $i,SV161: $i] :
( ( ( ~ ( in @ ( sK6_B @ SV161 @ SV144 ) @ SV144 ) )
= $false )
| ( ( in @ SV161 @ ( setunion @ SV144 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[854]) ).
thf(933,plain,
! [SV162: $i,SV64: $i,SV170: $i] :
( ( ( SV170 = SV64 )
= $true )
| ( ( in @ SV170 @ SV162 )
= $true )
| ( ( in @ SV170 @ ( setadjoin @ SV64 @ SV162 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(934,plain,
! [SV185: $i,SV64: $i,SV195: $i] :
( ( ( SV195 != SV64 )
| ( in @ SV195 @ ( setadjoin @ SV64 @ SV185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[856]) ).
thf(935,plain,
! [SV64: $i,SV186: $i,SV196: $i] :
( ( ~ ( in @ SV196 @ SV186 )
| ( in @ SV196 @ ( setadjoin @ SV64 @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(936,plain,
! [SV111: $i > $o,SV65: $i,SV176: $i] :
( ( ( in @ SV176 @ SV65 )
= $false )
| ( ( ~ ( SV111 @ SV176 ) )
= $true )
| ( ( SV111 @ ( sK37_Xx @ SV111 @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(937,plain,
! [SV111: $i > $o,SV65: $i,SV177: $i] :
( ( ( in @ SV177 @ SV65 )
= $false )
| ( ( ~ ( SV111 @ SV177 ) )
= $true )
| ( ( in @ ( sK37_Xx @ SV111 @ SV65 ) @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(938,plain,
! [SV145: $i,SV163: $i] :
( ( ( in @ ( sK5_Xx @ SV163 @ SV145 ) @ SV163 )
= $true )
| ( ( in @ SV163 @ ( powerset @ SV145 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(939,plain,
! [SV145: $i,SV163: $i] :
( ( ( ~ ( in @ ( sK5_Xx @ SV163 @ SV145 ) @ SV145 ) )
= $true )
| ( ( in @ SV163 @ ( powerset @ SV145 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[861]) ).
thf(940,plain,
! [SV146: $i,SV164: $i,SV187: $i] :
( ( ( ~ ( in @ SV187 @ SV164 ) )
= $true )
| ( ( in @ SV187 @ SV146 )
= $true )
| ( ( in @ SV164 @ ( powerset @ SV146 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(941,plain,
! [SV112: $i > $o,SV66: $i,SV178: $i] :
( ( ( in @ SV178 @ SV66 )
= $false )
| ( ( ~ ( SV112 @ SV178 ) )
= $true )
| ( ( SV112 @ ( sK35_Xx @ SV112 @ SV66 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(942,plain,
! [SV112: $i > $o,SV66: $i,SV179: $i] :
( ( ( in @ SV179 @ SV66 )
= $false )
| ( ( ~ ( SV112 @ SV179 ) )
= $true )
| ( ( in @ ( sK35_Xx @ SV112 @ SV66 ) @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(943,plain,
! [SV132: $i,SV67: $i > $o] :
( ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $false )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $false )
| ( ( ~ ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) )
| ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(944,plain,
! [SV132: $i,SV67: $i > $o] :
( ( ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) ) )
= $false )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $true )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[866]) ).
thf(945,plain,
! [SV132: $i,SV67: $i > $o] :
( ( ( ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) )
= $false )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $true )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[866]) ).
thf(946,plain,
! [SV133: $i,SV68: $i,SV188: $i] :
( ( ( ~ ( in @ SV188 @ ( sK12_B @ SV68 ) ) )
= $true )
| ( ( ~ ( in @ SV188 @ SV68 ) )
= $true )
| ( ( in @ SV133 @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[867]) ).
thf(947,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) )
| ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) )
= $false )
| ( ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
= $true )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(948,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( SV69 @ SV134 )
= $false )
| ( ( SV134
= ( sK31_SY143 @ SV134 @ SV69 ) )
= $false )
| ( ( ~ ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) )
| ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(949,plain,
! [SV135: $i,SV70: $i > $o] :
( ( ( SV70 @ SV135 )
= $false )
| ( ( SV135
= ( sK18_SY58 @ SV135 @ SV70 ) )
= $false )
| ( ( SV70
@ ( descr
@ ^ [SY748: $i] : ( SV70 @ SY748 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(950,plain,
! [SV76: $i,SV166: $i,SV6: $i,SV151: $i] :
( ( ( in @ SV151 @ SV6 )
= $false )
| ( ( in @ SV166 @ SV76 )
= $true )
| ( ( SV151 = SV166 )
= $false )
| ( ( SV6 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(951,plain,
! [SV97: $i > $o,SV41: $i,SV171: $i] :
( ( ( in @ SV171 @ SV41 )
= $false )
| ( ( SV97 @ SV171 )
= $false )
| ( ( in @ ( sK34_Xx @ SV97 @ SV41 ) @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(952,plain,
! [SV97: $i > $o,SV41: $i,SV172: $i] :
( ( ( in @ SV172 @ SV41 )
= $false )
| ( ( SV97 @ SV172 )
= $false )
| ( ( SV97 @ ( sK34_Xx @ SV97 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(953,plain,
! [SV43: $i,SV99: $i,SV153: $o] :
( ( ( ~ ( in @ ( sK29_B @ SV153 @ SV99 @ SV43 ) @ SV43 )
| ~ ~ SV153 )
= $false )
| ( SV153 = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(954,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ( in @ ( sK29_B @ $true @ SV99 @ SV43 ) @ SV43 )
| ~ ~ $true )
= $false )
| ( $true = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(955,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ( in @ ( sK29_B @ $false @ SV99 @ SV43 ) @ SV43 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(956,plain,
! [SV138: $i,SV44: $i,SV100: $i > $o] :
( ( ( SV100 @ ( sK33_Xx @ SV100 @ SV44 ) )
= $false )
| ( ( SV100 @ SV138 )
= $true )
| ( ( in @ SV138 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(957,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) ) )
= $false )
| ( ( SV45 @ ( sK40_Xy @ SV125 @ SV45 ) )
= $true )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(958,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) )
= $false )
| ( ( SV45 @ ( sK40_Xy @ SV125 @ SV45 ) )
= $true )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(959,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) )
| ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) )
= $false )
| ( ( SV125
= ( sK40_Xy @ SV125 @ SV45 ) )
= $false )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(960,plain,
! [SV126: $i,SV189: $i,SV46: $i > $o] :
( ( ( ~ ( SV46 @ SV189 ) )
= $true )
| ( ( ! [SY850: $i] :
( ~ ( SV46 @ SY850 )
| ( SV189 = SY850 ) ) )
= $true )
| ( ( SV46 @ ( sK55_SY249 @ SV126 @ SV46 ) )
= $true )
| ( ( SV46 @ SV126 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(961,plain,
! [SV126: $i,SV197: $i,SV46: $i > $o] :
( ( ( ~ ( SV46 @ SV197 )
| ! [SY854: $i] :
( ~ ( SV46 @ SY854 )
| ( SV197 = SY854 ) ) )
= $true )
| ( ( SV126
= ( sK55_SY249 @ SV126 @ SV46 ) )
= $false )
| ( ( SV46 @ SV126 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[887]) ).
thf(962,plain,
! [SV101: $i,SV47: $i,SV180: $i] :
( ( ( in @ SV180 @ SV47 )
= $false )
| ( ( in @ SV180 @ SV101 )
= $true )
| ( ( in @ ( sK62_Xx @ SV101 @ SV47 ) @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(963,plain,
! [SV48: $i] :
( ( ( in @ emptyset @ SV48 )
= $false )
| ( ( in @ ( sK7_Xx @ SV48 ) @ omega )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(964,plain,
! [SV48: $i] :
( ( ( in @ emptyset @ SV48 )
= $false )
| ( ( in @ ( sK7_Xx @ SV48 ) @ SV48 )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ omega )
| ( in @ SY670 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(965,plain,
! [SV48: $i,SV190: $i] :
( ( ( ~ ( in @ SV190 @ omega ) )
= $true )
| ( ( in @ SV190 @ SV48 )
= $true )
| ( ( in @ ( setadjoin @ ( sK7_Xx @ SV48 ) @ ( sK7_Xx @ SV48 ) ) @ SV48 )
= $false )
| ( ( in @ emptyset @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(966,plain,
! [SV127: $i,SV191: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV191 ) )
= $true )
| ( ( ! [SY851: $i] :
( ~ ( SV50 @ SY851 )
| ( SV191 = SY851 ) ) )
= $true )
| ( ( SV50 @ ( sK46_SY225 @ SV127 @ SV50 ) )
= $true )
| ( ( SV50 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[893]) ).
thf(967,plain,
! [SV127: $i,SV198: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV198 )
| ! [SY855: $i] :
( ~ ( SV50 @ SY855 )
| ( SV198 = SY855 ) ) )
= $true )
| ( ( SV127
= ( sK46_SY225 @ SV127 @ SV50 ) )
= $false )
| ( ( SV50 @ SV127 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(968,plain,
! [SV52: $i,SV154: $i] :
( ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( ! [SY821: $i] :
~ ( in @ SY821 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[896]) ).
thf(969,plain,
! [SV52: $i,SV154: $i] :
( ( ( ~ ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 ) )
= $true )
| ( ( ! [SY821: $i] :
~ ( in @ SY821 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[897]) ).
thf(970,plain,
! [SV192: $i,SV52: $i,SV181: $i] :
( ( ( ~ ( in @ SV181 @ ( sK13_B @ SV52 ) )
| ~ ( in @ SV192 @ ( sK13_B @ SV52 ) ) )
= $true )
| ( ( ! [SY852: $i] :
( ~ ( in @ SY852 @ SV181 )
| ( in @ SY852 @ SV192 ) )
| ! [SY853: $i] :
( ~ ( in @ SY853 @ SV192 )
| ( in @ SY853 @ SV181 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[898]) ).
thf(971,plain,
! [SV52: $i] :
( ( ! [SY685: $i] :
( ~ ( in @ SY685 @ ( sK13_B @ SV52 ) )
| ! [SY686: $i] :
( ~ ( in @ SY686 @ SY685 )
| ( in @ SY686 @ SV52 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[899]) ).
thf(972,plain,
! [SV52: $i] :
( ( ! [SY687: $i,SY688: $i] :
( ~ ( in @ SY687 @ SV52 )
| ~ ( in @ SY688 @ SV52 )
| ~ ( ~ ( in @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ~ ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) )
| ~ ( ( in @ SY687 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) )
| ( in @ SY688 @ ( sK14_SY586 @ SY688 @ SY687 @ SV52 ) ) ) ) )
| ( SY687 = SY688 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[900]) ).
thf(973,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( in @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) @ SV53 )
= $true )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[901]) ).
thf(974,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( ~ ( ~ ( in @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) @ SV103 )
| ~ ~ ( ( ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 )
!= ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ~ ( ~ ( ~ ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
| ~ ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[902]) ).
thf(975,plain,
! [SV54: $i,SV104: $i] :
( ( ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 )
= $true )
| ( ( SV54 = SV104 )
= $true )
| ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[903]) ).
thf(976,plain,
! [SV54: $i,SV104: $i] :
( ( ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) )
= $true )
| ( ( SV54 = SV104 )
= $true )
| ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[904]) ).
thf(977,plain,
! [SV54: $i,SV104: $i] :
( ( ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 ) )
= $false )
| ( ( SV54 = SV104 )
= $true )
| ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(978,plain,
! [SV54: $i,SV104: $i] :
( ( ( ~ ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) )
= $false )
| ( ( SV54 = SV104 )
= $true )
| ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(979,plain,
! [SV156: $i > $o,SV139: $i > $o] :
( ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(980,plain,
! [SV156: $i > $o,SV139: $i > $o] :
( ( ( ~ ( ~ ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ~ ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) )
| ~ ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) ) )
= $false )
| ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(981,plain,
! [SV140: $i > $o,SV157: $i > $o] :
( ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[908]) ).
thf(982,plain,
! [SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ( ~ ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ~ ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) )
| ~ ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) ) )
= $false )
| ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(983,plain,
! [SV55: $i,SV168: $i,SV158: $i > $o] :
( ( ( SV158 @ SV168 )
= $false )
| ( ( in @ SV168
@ ( dsetconstr @ SV55
@ ^ [SY833: $i] : ( SV158 @ SY833 ) ) )
= $true )
| ( ( in @ SV168 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(984,plain,
! [SV159: $i > $o,SV55: $i,SV169: $i] :
( ( ( in @ SV169
@ ( dsetconstr @ SV55
@ ^ [SY835: $i] : ( SV159 @ SY835 ) ) )
= $false )
| ( ( SV159 @ SV169 )
= $true )
| ( ( in @ SV169 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(985,plain,
! [SV105: $i,SV56: $i,SV193: $i,SV182: $i] :
( ( ( SV182 != SV193 )
= $true )
| ( ( ~ ( in @ SV182 @ SV56 )
| ( in @ SV193 @ SV105 ) )
= $true )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[912]) ).
thf(986,plain,
! [SV56: $i,SV105: $i,SV194: $i,SV183: $i] :
( ( ( SV183 != SV194 )
= $true )
| ( ( ~ ( in @ SV194 @ SV105 )
| ( in @ SV183 @ SV56 ) )
= $true )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[913]) ).
thf(987,plain,
! [SV141: $i,SV57: $i,SV106: $i > $o] :
( ( ( SV106 @ ( sK36_Xx @ SV106 @ SV57 ) )
= $false )
| ( ( SV106 @ SV141 )
= $true )
| ( ( in @ SV141 @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(988,plain,
! [SV107: $i,SV199: $i,SV58: $i > $i > $o] :
( ( ( ! [SY856: $i] :
( ~ ( SV58 @ SY856 @ SV199 )
| ~ ( in @ SY856 @ SV107 ) )
| ( in @ SV199 @ ( sK8_B @ SV107 @ SV58 ) ) )
= $true )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(989,plain,
! [SV58: $i > $i > $o,SV107: $i,SV200: $i] :
( ( ( ~ ( in @ SV200 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SV200 @ SV107 @ SV58 ) @ SV200 )
| ~ ( in @ ( sK9_Xy @ SV200 @ SV107 @ SV58 ) @ SV107 ) ) )
= $true )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(990,plain,
! [SV174: $i,SV107: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) ) )
= $false )
| ( ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 ) )
= $true )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[918]) ).
thf(991,plain,
! [SV58: $i > $i > $o,SV107: $i,SV174: $i] :
( ( ( ~ ( ( SV174
!= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) ) ) )
= $false )
| ( ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 ) )
= $true )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[918]) ).
thf(992,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) ) )
= $false )
| ( ( SV59 @ ( sK20_SY75 @ SV129 @ SV59 ) )
= $true )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[919]) ).
thf(993,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) )
= $false )
| ( ( SV59 @ ( sK20_SY75 @ SV129 @ SV59 ) )
= $true )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[919]) ).
thf(994,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) )
| ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) )
= $false )
| ( ( SV129
= ( sK20_SY75 @ SV129 @ SV59 ) )
= $false )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(995,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) ) )
= $false )
| ( ( SV60 @ ( sK42_Xx @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[921]) ).
thf(996,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) )
= $false )
| ( ( SV60 @ ( sK42_Xx @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[921]) ).
thf(997,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK43_SY599 @ SV60 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[922]) ).
thf(998,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ( ( ( sK42_Xx @ SV60 )
!= ( sK43_SY599 @ SV60 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[922]) ).
thf(999,plain,
! [SV142: $i,SV61: $i,SV108: $i > $o] :
( ( ( SV108 @ ( sK38_Xx @ SV108 @ SV61 ) )
= $false )
| ( ( SV108 @ SV142 )
= $true )
| ( ( in @ SV142 @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[924]) ).
thf(1000,plain,
! [SV109: $i > $o,SV184: $i,SV62: $i > $o] :
( ( ( ~ ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
| ~ ( ( SV184
!= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV62 @ SV184 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(1001,plain,
! [SV109: $i > $o,SV62: $i > $o] :
( ( ( ~ ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) ) )
= $true )
| ( ( ~ ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) )
= $true )
| ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[926]) ).
thf(1002,plain,
! [SV109: $i > $o,SV62: $i > $o] :
( ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[927]) ).
thf(1003,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ ( ( SV131 = SV63 )
| ( in @ SV131 @ SV110 )
| ! [SX3: $o] : SX3 ) )
= $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[928]) ).
thf(1004,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ ( ( SV131 = SV63 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) ) )
= $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[928]) ).
thf(1005,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( ( ~ ! [SY805: $o] :
( ~ SY805
| ( in @ SV131 @ SV110 )
| SY805 ) )
= $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[929]) ).
thf(1006,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) )
= $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[929]) ).
thf(1007,plain,
! [SV160: $i,SV143: $i,SV175: $i] :
( ( ( in @ SV175 @ SV143 )
= $false )
| ( ( in @ SV160 @ SV175 )
= $false )
| ( ( in @ SV160 @ ( setunion @ SV143 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(1008,plain,
! [SV144: $i,SV161: $i] :
( ( ( in @ SV161 @ ( sK6_B @ SV161 @ SV144 ) )
= $true )
| ( ( in @ SV161 @ ( setunion @ SV144 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[931]) ).
thf(1009,plain,
! [SV144: $i,SV161: $i] :
( ( ( in @ ( sK6_B @ SV161 @ SV144 ) @ SV144 )
= $true )
| ( ( in @ SV161 @ ( setunion @ SV144 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(1010,plain,
! [SV185: $i,SV64: $i,SV195: $i] :
( ( ( SV195 != SV64 )
= $true )
| ( ( in @ SV195 @ ( setadjoin @ SV64 @ SV185 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(1011,plain,
! [SV64: $i,SV186: $i,SV196: $i] :
( ( ( ~ ( in @ SV196 @ SV186 ) )
= $true )
| ( ( in @ SV196 @ ( setadjoin @ SV64 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[935]) ).
thf(1012,plain,
! [SV65: $i,SV176: $i,SV111: $i > $o] :
( ( ( SV111 @ SV176 )
= $false )
| ( ( in @ SV176 @ SV65 )
= $false )
| ( ( SV111 @ ( sK37_Xx @ SV111 @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(1013,plain,
! [SV65: $i,SV177: $i,SV111: $i > $o] :
( ( ( SV111 @ SV177 )
= $false )
| ( ( in @ SV177 @ SV65 )
= $false )
| ( ( in @ ( sK37_Xx @ SV111 @ SV65 ) @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(1014,plain,
! [SV145: $i,SV163: $i] :
( ( ( in @ ( sK5_Xx @ SV163 @ SV145 ) @ SV145 )
= $false )
| ( ( in @ SV163 @ ( powerset @ SV145 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(1015,plain,
! [SV146: $i,SV164: $i,SV187: $i] :
( ( ( in @ SV187 @ SV164 )
= $false )
| ( ( in @ SV187 @ SV146 )
= $true )
| ( ( in @ SV164 @ ( powerset @ SV146 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(1016,plain,
! [SV66: $i,SV178: $i,SV112: $i > $o] :
( ( ( SV112 @ SV178 )
= $false )
| ( ( in @ SV178 @ SV66 )
= $false )
| ( ( SV112 @ ( sK35_Xx @ SV112 @ SV66 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(1017,plain,
! [SV66: $i,SV179: $i,SV112: $i > $o] :
( ( ( SV112 @ SV179 )
= $false )
| ( ( in @ SV179 @ SV66 )
= $false )
| ( ( in @ ( sK35_Xx @ SV112 @ SV66 ) @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1018,plain,
! [SV132: $i,SV67: $i > $o] :
( ( ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) )
| ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) )
= $false )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $false )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1019,plain,
! [SV132: $i,SV67: $i > $o] :
( ( ( ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) ) )
= $true )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $true )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[944]) ).
thf(1020,plain,
! [SV132: $i,SV67: $i > $o] :
( ( ( SV67 @ ( sK44_SY212 @ SV67 ) )
= $true )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $true )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[945]) ).
thf(1021,plain,
! [SV133: $i,SV68: $i,SV188: $i] :
( ( ( in @ SV188 @ ( sK12_B @ SV68 ) )
= $false )
| ( ( ~ ( in @ SV188 @ SV68 ) )
= $true )
| ( ( in @ SV133 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1022,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) ) )
= $false )
| ( ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
= $true )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(1023,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) )
= $false )
| ( ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
= $true )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(1024,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) )
| ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) )
= $false )
| ( ( SV134
= ( sK31_SY143 @ SV134 @ SV69 ) )
= $false )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(1025,plain,
! [SV43: $i,SV99: $i,SV153: $o] :
( ( ( ~ ( in @ ( sK29_B @ SV153 @ SV99 @ SV43 ) @ SV43 ) )
= $false )
| ( SV153 = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(1026,plain,
! [SV43: $i,SV99: $i,SV153: $o] :
( ( ( ~ ~ SV153 )
= $false )
| ( SV153 = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(1027,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ( in @ ( sK29_B @ $true @ SV99 @ SV43 ) @ SV43 ) )
= $false )
| ( $true = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1028,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ~ $true )
= $false )
| ( $true = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1029,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ( in @ ( sK29_B @ $false @ SV99 @ SV43 ) @ SV43 ) )
= $false )
| ( $false = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[955]) ).
thf(1030,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[955]) ).
thf(1031,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) ) )
= $true )
| ( ( SV45 @ ( sK40_Xy @ SV125 @ SV45 ) )
= $true )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[957]) ).
thf(1032,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( SV45 @ ( sK39_SY199 @ SV45 ) )
= $true )
| ( ( SV45 @ ( sK40_Xy @ SV125 @ SV45 ) )
= $true )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[958]) ).
thf(1033,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( ~ ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) ) )
= $false )
| ( ( SV125
= ( sK40_Xy @ SV125 @ SV45 ) )
= $false )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[959]) ).
thf(1034,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( ~ ( SV45 @ ( sK39_SY199 @ SV45 ) ) )
= $false )
| ( ( SV125
= ( sK40_Xy @ SV125 @ SV45 ) )
= $false )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[959]) ).
thf(1035,plain,
! [SV126: $i,SV189: $i,SV46: $i > $o] :
( ( ( SV46 @ SV189 )
= $false )
| ( ( ! [SY850: $i] :
( ~ ( SV46 @ SY850 )
| ( SV189 = SY850 ) ) )
= $true )
| ( ( SV46 @ ( sK55_SY249 @ SV126 @ SV46 ) )
= $true )
| ( ( SV46 @ SV126 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1036,plain,
! [SV126: $i,SV197: $i,SV46: $i > $o] :
( ( ( ~ ( SV46 @ SV197 ) )
= $true )
| ( ( ! [SY854: $i] :
( ~ ( SV46 @ SY854 )
| ( SV197 = SY854 ) ) )
= $true )
| ( ( SV126
= ( sK55_SY249 @ SV126 @ SV46 ) )
= $false )
| ( ( SV46 @ SV126 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(1037,plain,
! [SV48: $i,SV201: $i] :
( ( ( ~ ( in @ SV201 @ omega )
| ( in @ SV201 @ SV48 ) )
= $true )
| ( ( in @ ( sK7_Xx @ SV48 ) @ omega )
= $true )
| ( ( in @ emptyset @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(1038,plain,
! [SV48: $i,SV202: $i] :
( ( ( ~ ( in @ SV202 @ omega )
| ( in @ SV202 @ SV48 ) )
= $true )
| ( ( in @ ( sK7_Xx @ SV48 ) @ SV48 )
= $true )
| ( ( in @ emptyset @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(1039,plain,
! [SV48: $i,SV190: $i] :
( ( ( in @ SV190 @ omega )
= $false )
| ( ( in @ SV190 @ SV48 )
= $true )
| ( ( in @ ( setadjoin @ ( sK7_Xx @ SV48 ) @ ( sK7_Xx @ SV48 ) ) @ SV48 )
= $false )
| ( ( in @ emptyset @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1040,plain,
! [SV127: $i,SV191: $i,SV50: $i > $o] :
( ( ( SV50 @ SV191 )
= $false )
| ( ( ! [SY851: $i] :
( ~ ( SV50 @ SY851 )
| ( SV191 = SY851 ) ) )
= $true )
| ( ( SV50 @ ( sK46_SY225 @ SV127 @ SV50 ) )
= $true )
| ( ( SV50 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(1041,plain,
! [SV127: $i,SV198: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV198 ) )
= $true )
| ( ( ! [SY855: $i] :
( ~ ( SV50 @ SY855 )
| ( SV198 = SY855 ) ) )
= $true )
| ( ( SV127
= ( sK46_SY225 @ SV127 @ SV50 ) )
= $false )
| ( ( SV50 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1042,plain,
! [SV52: $i,SV154: $i,SV203: $i] :
( ( ( ~ ( in @ SV203 @ SV154 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( ~ ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1043,plain,
! [SV52: $i,SV154: $i] :
( ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( ! [SY821: $i] :
~ ( in @ SY821 @ SV154 ) )
= $true )
| ( ( ~ ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1044,plain,
! [SV192: $i,SV52: $i,SV181: $i] :
( ( ( ~ ( in @ SV181 @ ( sK13_B @ SV52 ) ) )
= $true )
| ( ( ~ ( in @ SV192 @ ( sK13_B @ SV52 ) ) )
= $true )
| ( ( ! [SY852: $i] :
( ~ ( in @ SY852 @ SV181 )
| ( in @ SY852 @ SV192 ) )
| ! [SY853: $i] :
( ~ ( in @ SY853 @ SV192 )
| ( in @ SY853 @ SV181 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[970]) ).
thf(1045,plain,
! [SV52: $i,SV204: $i] :
( ( ~ ( in @ SV204 @ ( sK13_B @ SV52 ) )
| ! [SY857: $i] :
( ~ ( in @ SY857 @ SV204 )
| ( in @ SY857 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1046,plain,
! [SV52: $i,SV205: $i] :
( ( ! [SY858: $i] :
( ~ ( in @ SV205 @ SV52 )
| ~ ( in @ SY858 @ SV52 )
| ~ ( ~ ( in @ ( sK14_SY586 @ SY858 @ SV205 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SV205 @ ( sK14_SY586 @ SY858 @ SV205 @ SV52 ) )
| ~ ( in @ SY858 @ ( sK14_SY586 @ SY858 @ SV205 @ SV52 ) ) )
| ~ ( ( in @ SV205 @ ( sK14_SY586 @ SY858 @ SV205 @ SV52 ) )
| ( in @ SY858 @ ( sK14_SY586 @ SY858 @ SV205 @ SV52 ) ) ) ) )
| ( SV205 = SY858 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[972]) ).
thf(1047,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( ~ ( in @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) @ SV103 )
| ~ ~ ( ( ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 )
!= ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ~ ( ~ ( ~ ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
| ~ ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1048,plain,
! [SV54: $i,SV104: $i] :
( ( ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 )
= $false )
| ( ( SV54 = SV104 )
= $true )
| ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(1049,plain,
! [SV54: $i,SV104: $i] :
( ( ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV104 )
= $true )
| ( ( SV54 = SV104 )
= $true )
| ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[977]) ).
thf(1050,plain,
! [SV54: $i,SV104: $i] :
( ( ( ~ ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 ) )
= $true )
| ( ( SV54 = SV104 )
= $true )
| ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(1051,plain,
! [SV156: $i > $o,SV206: $i,SV139: $i > $o] :
( ( ( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
| ~ ( ( SV206
!= ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SV206 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[979]) ).
thf(1052,plain,
! [SV156: $i > $o,SV139: $i > $o] :
( ( ( ~ ( ~ ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ~ ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) ) )
= $false )
| ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[980]) ).
thf(1053,plain,
! [SV156: $i > $o,SV139: $i > $o] :
( ( ( ~ ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) ) )
= $false )
| ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[980]) ).
thf(1054,plain,
! [SV140: $i > $o,SV207: $i,SV157: $i > $o] :
( ( ( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
| ~ ( ( SV207
!= ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SV207 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(1055,plain,
! [SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ( ~ ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ~ ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) ) )
= $false )
| ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(1056,plain,
! [SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) ) )
= $false )
| ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(1057,plain,
! [SV105: $i,SV56: $i,SV193: $i,SV182: $i] :
( ( ( SV182 = SV193 )
= $false )
| ( ( ~ ( in @ SV182 @ SV56 )
| ( in @ SV193 @ SV105 ) )
= $true )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[985]) ).
thf(1058,plain,
! [SV56: $i,SV105: $i,SV194: $i,SV183: $i] :
( ( ( SV183 = SV194 )
= $false )
| ( ( ~ ( in @ SV194 @ SV105 )
| ( in @ SV183 @ SV56 ) )
= $true )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1059,plain,
! [SV107: $i,SV199: $i,SV58: $i > $i > $o] :
( ( ( ! [SY856: $i] :
( ~ ( SV58 @ SY856 @ SV199 )
| ~ ( in @ SY856 @ SV107 ) ) )
= $true )
| ( ( in @ SV199 @ ( sK8_B @ SV107 @ SV58 ) )
= $true )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[988]) ).
thf(1060,plain,
! [SV58: $i > $i > $o,SV107: $i,SV200: $i] :
( ( ( ~ ( in @ SV200 @ ( sK8_B @ SV107 @ SV58 ) ) )
= $true )
| ( ( ~ ( ~ ( SV58 @ ( sK9_Xy @ SV200 @ SV107 @ SV58 ) @ SV200 )
| ~ ( in @ ( sK9_Xy @ SV200 @ SV107 @ SV58 ) @ SV107 ) ) )
= $true )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[989]) ).
thf(1061,plain,
! [SV174: $i,SV107: $i,SV58: $i > $i > $o] :
( ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 ) )
= $true )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1062,plain,
! [SV58: $i > $i > $o,SV107: $i,SV174: $i] :
( ( ( SV174
!= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 ) )
= $true )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[991]) ).
thf(1063,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) ) )
= $true )
| ( ( SV59 @ ( sK20_SY75 @ SV129 @ SV59 ) )
= $true )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(1064,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( SV59 @ ( sK19_Xx @ SV59 ) )
= $true )
| ( ( SV59 @ ( sK20_SY75 @ SV129 @ SV59 ) )
= $true )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[993]) ).
thf(1065,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( ~ ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) ) )
= $false )
| ( ( SV129
= ( sK20_SY75 @ SV129 @ SV59 ) )
= $false )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[994]) ).
thf(1066,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( ~ ( SV59 @ ( sK19_Xx @ SV59 ) ) )
= $false )
| ( ( SV129
= ( sK20_SY75 @ SV129 @ SV59 ) )
= $false )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[994]) ).
thf(1067,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) ) )
= $true )
| ( ( SV60 @ ( sK42_Xx @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1068,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( SV60 @ ( sK41_SY206 @ SV60 ) )
= $true )
| ( ( SV60 @ ( sK42_Xx @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[996]) ).
thf(1069,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( SV60 @ ( sK43_SY599 @ SV60 ) )
= $true )
| ( ( ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[997]) ).
thf(1070,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ( sK42_Xx @ SV60 )
!= ( sK43_SY599 @ SV60 ) )
= $true )
| ( ( ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[998]) ).
thf(1071,plain,
! [SV109: $i > $o,SV184: $i,SV62: $i > $o] :
( ( ( ~ ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) ) )
= $false )
| ( ( ~ ( SV62 @ SV184 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1000]) ).
thf(1072,plain,
! [SV62: $i > $o,SV109: $i > $o,SV184: $i] :
( ( ( ~ ( ( SV184
!= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV62 @ SV184 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1000]) ).
thf(1073,plain,
! [SV109: $i > $o,SV62: $i > $o] :
( ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( ~ ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) ) )
= $true )
| ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1074,plain,
! [SV109: $i > $o,SV62: $i > $o] :
( ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1002]) ).
thf(1075,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ( SV131 = SV63 )
| ( in @ SV131 @ SV110 )
| ! [SX3: $o] : SX3 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1003]) ).
thf(1076,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ( SV131 = SV63 )
| ! [SX3: $o] :
( ~ SX3
| SX3 ) )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1077,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( ( ! [SY805: $o] :
( ~ SY805
| ( in @ SV131 @ SV110 )
| SY805 ) )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1005]) ).
thf(1078,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ! [SX3: $o] :
( ~ SX3
| ~ SX3
| SX3 ) )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1006]) ).
thf(1079,plain,
! [SV185: $i,SV64: $i,SV195: $i] :
( ( ( SV195 = SV64 )
= $false )
| ( ( in @ SV195 @ ( setadjoin @ SV64 @ SV185 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1080,plain,
! [SV64: $i,SV186: $i,SV196: $i] :
( ( ( in @ SV196 @ SV186 )
= $false )
| ( ( in @ SV196 @ ( setadjoin @ SV64 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1081,plain,
! [SV132: $i,SV67: $i > $o] :
( ( ( ~ ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) ) )
= $false )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $false )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1018]) ).
thf(1082,plain,
! [SV132: $i,SV67: $i > $o] :
( ( ( ~ ( SV67 @ ( sK44_SY212 @ SV67 ) ) )
= $false )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $false )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1018]) ).
thf(1083,plain,
! [SV132: $i,SV208: $i,SV67: $i > $o] :
( ( ( ~ ( SV67 @ SV208 )
| ( ( sK44_SY212 @ SV67 )
= SV208 ) )
= $true )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $true )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1019]) ).
thf(1084,plain,
! [SV133: $i,SV68: $i,SV188: $i] :
( ( ( in @ SV188 @ SV68 )
= $false )
| ( ( in @ SV188 @ ( sK12_B @ SV68 ) )
= $false )
| ( ( in @ SV133 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1085,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) ) )
= $true )
| ( ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
= $true )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1022]) ).
thf(1086,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) )
= $true )
| ( ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
= $true )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1023]) ).
thf(1087,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( ~ ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) ) )
= $false )
| ( ( SV134
= ( sK31_SY143 @ SV134 @ SV69 ) )
= $false )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1024]) ).
thf(1088,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( ~ ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) )
= $false )
| ( ( SV134
= ( sK31_SY143 @ SV134 @ SV69 ) )
= $false )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1024]) ).
thf(1089,plain,
! [SV43: $i,SV99: $i,SV153: $o] :
( ( ( in @ ( sK29_B @ SV153 @ SV99 @ SV43 ) @ SV43 )
= $true )
| ( SV153 = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1025]) ).
thf(1090,plain,
! [SV43: $i,SV99: $i,SV153: $o] :
( ( ( ~ SV153 ) = $true )
| ( SV153 = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1026]) ).
thf(1091,plain,
! [SV43: $i,SV99: $i] :
( ( ( in @ ( sK29_B @ $true @ SV99 @ SV43 ) @ SV43 )
= $true )
| ( $true = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1027]) ).
thf(1092,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ $true ) = $true )
| ( $true = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1028]) ).
thf(1093,plain,
! [SV43: $i,SV99: $i] :
( ( ( in @ ( sK29_B @ $false @ SV99 @ SV43 ) @ SV43 )
= $true )
| ( $false = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1029]) ).
thf(1094,plain,
! [SV43: $i,SV99: $i] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1030]) ).
thf(1095,plain,
! [SV125: $i,SV209: $i,SV45: $i > $o] :
( ( ( ~ ( SV45 @ SV209 )
| ( ( sK39_SY199 @ SV45 )
= SV209 ) )
= $true )
| ( ( SV45 @ ( sK40_Xy @ SV125 @ SV45 ) )
= $true )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1031]) ).
thf(1096,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( ! [SY664: $i] :
( ~ ( SV45 @ SY664 )
| ( ( sK39_SY199 @ SV45 )
= SY664 ) ) )
= $true )
| ( ( SV125
= ( sK40_Xy @ SV125 @ SV45 ) )
= $false )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1033]) ).
thf(1097,plain,
! [SV125: $i,SV45: $i > $o] :
( ( ( SV45 @ ( sK39_SY199 @ SV45 ) )
= $true )
| ( ( SV125
= ( sK40_Xy @ SV125 @ SV45 ) )
= $false )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1034]) ).
thf(1098,plain,
! [SV126: $i,SV189: $i,SV210: $i,SV46: $i > $o] :
( ( ( ~ ( SV46 @ SV210 )
| ( SV189 = SV210 ) )
= $true )
| ( ( SV46 @ SV189 )
= $false )
| ( ( SV46 @ ( sK55_SY249 @ SV126 @ SV46 ) )
= $true )
| ( ( SV46 @ SV126 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1035]) ).
thf(1099,plain,
! [SV126: $i,SV197: $i,SV46: $i > $o] :
( ( ( SV46 @ SV197 )
= $false )
| ( ( ! [SY854: $i] :
( ~ ( SV46 @ SY854 )
| ( SV197 = SY854 ) ) )
= $true )
| ( ( SV126
= ( sK55_SY249 @ SV126 @ SV46 ) )
= $false )
| ( ( SV46 @ SV126 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1100,plain,
! [SV48: $i,SV201: $i] :
( ( ( ~ ( in @ SV201 @ omega ) )
= $true )
| ( ( in @ SV201 @ SV48 )
= $true )
| ( ( in @ ( sK7_Xx @ SV48 ) @ omega )
= $true )
| ( ( in @ emptyset @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1037]) ).
thf(1101,plain,
! [SV48: $i,SV202: $i] :
( ( ( ~ ( in @ SV202 @ omega ) )
= $true )
| ( ( in @ SV202 @ SV48 )
= $true )
| ( ( in @ ( sK7_Xx @ SV48 ) @ SV48 )
= $true )
| ( ( in @ emptyset @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1038]) ).
thf(1102,plain,
! [SV127: $i,SV191: $i,SV211: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV211 )
| ( SV191 = SV211 ) )
= $true )
| ( ( SV50 @ SV191 )
= $false )
| ( ( SV50 @ ( sK46_SY225 @ SV127 @ SV50 ) )
= $true )
| ( ( SV50 @ SV127 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1040]) ).
thf(1103,plain,
! [SV127: $i,SV198: $i,SV50: $i > $o] :
( ( ( SV50 @ SV198 )
= $false )
| ( ( ! [SY855: $i] :
( ~ ( SV50 @ SY855 )
| ( SV198 = SY855 ) ) )
= $true )
| ( ( SV127
= ( sK46_SY225 @ SV127 @ SV50 ) )
= $false )
| ( ( SV50 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1104,plain,
! [SV52: $i,SV154: $i,SV203: $i] :
( ( ( in @ SV203 @ SV154 )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( ~ ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1105,plain,
! [SV52: $i,SV154: $i,SV212: $i] :
( ( ( ~ ( in @ SV212 @ SV154 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( ~ ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1043]) ).
thf(1106,plain,
! [SV192: $i,SV52: $i,SV181: $i] :
( ( ( in @ SV181 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( ~ ( in @ SV192 @ ( sK13_B @ SV52 ) ) )
= $true )
| ( ( ! [SY852: $i] :
( ~ ( in @ SY852 @ SV181 )
| ( in @ SY852 @ SV192 ) )
| ! [SY853: $i] :
( ~ ( in @ SY853 @ SV192 )
| ( in @ SY853 @ SV181 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1107,plain,
! [SV52: $i,SV204: $i] :
( ( ( ~ ( in @ SV204 @ ( sK13_B @ SV52 ) ) )
= $true )
| ( ( ! [SY857: $i] :
( ~ ( in @ SY857 @ SV204 )
| ( in @ SY857 @ SV52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1045]) ).
thf(1108,plain,
! [SV213: $i,SV52: $i,SV205: $i] :
( ( ~ ( in @ SV205 @ SV52 )
| ~ ( in @ SV213 @ SV52 )
| ~ ( ~ ( in @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ~ ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) )
| ~ ( ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) ) ) )
| ( SV205 = SV213 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1046]) ).
thf(1109,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( ~ ( in @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) @ SV103 ) )
= $false )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1110,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( ~ ~ ( ( ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 )
!= ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ~ ( ~ ( ~ ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
| ~ ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1111,plain,
! [SV54: $i,SV104: $i] :
( ( ( in @ ( sK23_Xx @ SV104 @ SV54 ) @ SV54 )
= $false )
| ( ( SV54 = SV104 )
= $true )
| ( ( in @ ( sK24_Xx @ SV104 @ SV54 ) @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1112,plain,
! [SV156: $i > $o,SV206: $i,SV139: $i > $o] :
( ( ( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
| ~ ( ( SV206
!= ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) ) ) ) )
= $true )
| ( ( ~ ( SV139 @ SV206 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1113,plain,
! [SV156: $i > $o,SV139: $i > $o] :
( ( ( ~ ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ~ ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) )
= $true )
| ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1052]) ).
thf(1114,plain,
! [SV156: $i > $o,SV139: $i > $o] :
( ( ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
| ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) )
= $true )
| ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1053]) ).
thf(1115,plain,
! [SV140: $i > $o,SV207: $i,SV157: $i > $o] :
( ( ( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
| ~ ( ( SV207
!= ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) ) ) ) )
= $true )
| ( ( ~ ( SV157 @ SV207 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1054]) ).
thf(1116,plain,
! [SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ~ ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) )
= $true )
| ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1055]) ).
thf(1117,plain,
! [SV157: $i > $o,SV140: $i > $o] :
( ( ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
| ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) )
= $true )
| ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1056]) ).
thf(1118,plain,
! [SV105: $i,SV193: $i,SV56: $i,SV182: $i] :
( ( ( ~ ( in @ SV182 @ SV56 ) )
= $true )
| ( ( in @ SV193 @ SV105 )
= $true )
| ( ( SV182 = SV193 )
= $false )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1057]) ).
thf(1119,plain,
! [SV56: $i,SV183: $i,SV105: $i,SV194: $i] :
( ( ( ~ ( in @ SV194 @ SV105 ) )
= $true )
| ( ( in @ SV183 @ SV56 )
= $true )
| ( ( SV183 = SV194 )
= $false )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1120,plain,
! [SV107: $i,SV199: $i,SV214: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58 @ SV214 @ SV199 )
| ~ ( in @ SV214 @ SV107 ) )
= $true )
| ( ( in @ SV199 @ ( sK8_B @ SV107 @ SV58 ) )
= $true )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1059]) ).
thf(1121,plain,
! [SV58: $i > $i > $o,SV107: $i,SV200: $i] :
( ( ( in @ SV200 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( ~ ( ~ ( SV58 @ ( sK9_Xy @ SV200 @ SV107 @ SV58 ) @ SV200 )
| ~ ( in @ ( sK9_Xy @ SV200 @ SV107 @ SV58 ) @ SV107 ) ) )
= $true )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1122,plain,
! [SV174: $i,SV107: $i,SV58: $i > $i > $o] :
( ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1061]) ).
thf(1123,plain,
! [SV58: $i > $i > $o,SV107: $i,SV174: $i] :
( ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( ~ ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 ) )
= $true )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1124,plain,
! [SV129: $i,SV215: $i,SV59: $i > $o] :
( ( ( ~ ( SV59 @ SV215 )
| ( ( sK19_Xx @ SV59 )
= SV215 ) )
= $true )
| ( ( SV59 @ ( sK20_SY75 @ SV129 @ SV59 ) )
= $true )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1063]) ).
thf(1125,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( ! [SY714: $i] :
( ~ ( SV59 @ SY714 )
| ( ( sK19_Xx @ SV59 )
= SY714 ) ) )
= $true )
| ( ( SV129
= ( sK20_SY75 @ SV129 @ SV59 ) )
= $false )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1126,plain,
! [SV129: $i,SV59: $i > $o] :
( ( ( SV59 @ ( sK19_Xx @ SV59 ) )
= $true )
| ( ( SV129
= ( sK20_SY75 @ SV129 @ SV59 ) )
= $false )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1066]) ).
thf(1127,plain,
! [SV130: $i,SV216: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV216 )
| ( ( sK41_SY206 @ SV60 )
= SV216 ) )
= $true )
| ( ( SV60 @ ( sK42_Xx @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1067]) ).
thf(1128,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) )
= $false )
| ( ( SV60 @ ( sK43_SY599 @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1129,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ( sK42_Xx @ SV60 )
= ( sK43_SY599 @ SV60 ) )
= $false )
| ( ( ~ ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1130,plain,
! [SV109: $i > $o,SV184: $i,SV62: $i > $o] :
( ( ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV62 @ SV184 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1131,plain,
! [SV62: $i > $o,SV109: $i > $o,SV184: $i] :
( ( ( SV184
!= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV62 @ SV184 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1072]) ).
thf(1132,plain,
! [SV62: $i > $o,SV109: $i > $o] :
( ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1133,plain,
! [SV109: $i > $o,SV217: $i,SV62: $i > $o] :
( ( ( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
| ~ ( ( SV217
!= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SV217 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1074]) ).
thf(1134,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( SV131 = SV63 )
= $true )
| ( ( ( in @ SV131 @ SV110 )
| ! [SX3: $o] : SX3 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1075]) ).
thf(1135,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( SV131 = SV63 )
= $true )
| ( ( ! [SX3: $o] :
( ~ SX3
| SX3 ) )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1076]) ).
thf(1136,plain,
! [SV63: $i,SV110: $i,SV131: $i,SV218: $o] :
( ( ( ~ SV218
| ( in @ SV131 @ SV110 )
| SV218 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1077]) ).
thf(1137,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( ( ~ $true
| ( in @ SV131 @ SV110 )
| $true )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1077]) ).
thf(1138,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( ( ~ $false
| ( in @ SV131 @ SV110 )
| $false )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1077]) ).
thf(1139,plain,
! [SV110: $i,SV63: $i,SV131: $i,SV219: $o] :
( ( ( ~ SV219
| ~ SV219
| SV219 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1078]) ).
thf(1140,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ $true
| ~ $true
| $true )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1078]) ).
thf(1141,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ $false
| ~ $false
| $false )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1078]) ).
thf(1142,plain,
! [SV132: $i,SV67: $i > $o] :
( ( ( ! [SY741: $i] :
( ~ ( SV67 @ SY741 )
| ( ( sK44_SY212 @ SV67 )
= SY741 ) ) )
= $true )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $false )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1143,plain,
! [SV132: $i,SV67: $i > $o] :
( ( ( SV67 @ ( sK44_SY212 @ SV67 ) )
= $true )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $false )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1082]) ).
thf(1144,plain,
! [SV132: $i,SV208: $i,SV67: $i > $o] :
( ( ( ~ ( SV67 @ SV208 ) )
= $true )
| ( ( ( sK44_SY212 @ SV67 )
= SV208 )
= $true )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $true )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1145,plain,
! [SV134: $i,SV69: $i > $o,SV220: $i] :
( ( ( ( SV220
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SV220 ) )
= $true )
| ( ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
= $true )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1085]) ).
thf(1146,plain,
! [SV134: $i,SV221: $i,SV69: $i > $o] :
( ( ( ~ ( SV69 @ SV221 )
| ( SV221
= ( sK30_Xx @ SV69 ) ) )
= $true )
| ( ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
= $true )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1086]) ).
thf(1147,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( ! [SY745: $i] :
( ( SY745
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SY745 ) ) )
= $true )
| ( ( SV134
= ( sK31_SY143 @ SV134 @ SV69 ) )
= $false )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1087]) ).
thf(1148,plain,
! [SV134: $i,SV69: $i > $o] :
( ( ( ! [SY746: $i] :
( ~ ( SV69 @ SY746 )
| ( SY746
= ( sK30_Xx @ SV69 ) ) ) )
= $true )
| ( ( SV134
= ( sK31_SY143 @ SV134 @ SV69 ) )
= $false )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1088]) ).
thf(1149,plain,
! [SV43: $i,SV99: $i,SV153: $o] :
( ( SV153 = $false )
| ( SV153 = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1090]) ).
thf(1150,plain,
! [SV43: $i,SV99: $i] :
( ( $true = $false )
| ( $true = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1092]) ).
thf(1151,plain,
! [SV43: $i,SV99: $i] :
( ( $false = $false )
| ( $false = $true )
| ( ( in @ SV99 @ ( setunion @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1152,plain,
! [SV125: $i,SV209: $i,SV45: $i > $o] :
( ( ( ~ ( SV45 @ SV209 ) )
= $true )
| ( ( ( sK39_SY199 @ SV45 )
= SV209 )
= $true )
| ( ( SV45 @ ( sK40_Xy @ SV125 @ SV45 ) )
= $true )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1095]) ).
thf(1153,plain,
! [SV125: $i,SV222: $i,SV45: $i > $o] :
( ( ( ~ ( SV45 @ SV222 )
| ( ( sK39_SY199 @ SV45 )
= SV222 ) )
= $true )
| ( ( SV125
= ( sK40_Xy @ SV125 @ SV45 ) )
= $false )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1096]) ).
thf(1154,plain,
! [SV126: $i,SV189: $i,SV210: $i,SV46: $i > $o] :
( ( ( ~ ( SV46 @ SV210 ) )
= $true )
| ( ( SV189 = SV210 )
= $true )
| ( ( SV46 @ SV189 )
= $false )
| ( ( SV46 @ ( sK55_SY249 @ SV126 @ SV46 ) )
= $true )
| ( ( SV46 @ SV126 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1098]) ).
thf(1155,plain,
! [SV126: $i,SV197: $i,SV223: $i,SV46: $i > $o] :
( ( ( ~ ( SV46 @ SV223 )
| ( SV197 = SV223 ) )
= $true )
| ( ( SV46 @ SV197 )
= $false )
| ( ( SV126
= ( sK55_SY249 @ SV126 @ SV46 ) )
= $false )
| ( ( SV46 @ SV126 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1099]) ).
thf(1156,plain,
! [SV48: $i,SV201: $i] :
( ( ( in @ SV201 @ omega )
= $false )
| ( ( in @ SV201 @ SV48 )
= $true )
| ( ( in @ ( sK7_Xx @ SV48 ) @ omega )
= $true )
| ( ( in @ emptyset @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1157,plain,
! [SV48: $i,SV202: $i] :
( ( ( in @ SV202 @ omega )
= $false )
| ( ( in @ SV202 @ SV48 )
= $true )
| ( ( in @ ( sK7_Xx @ SV48 ) @ SV48 )
= $true )
| ( ( in @ emptyset @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1158,plain,
! [SV127: $i,SV191: $i,SV211: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV211 ) )
= $true )
| ( ( SV191 = SV211 )
= $true )
| ( ( SV50 @ SV191 )
= $false )
| ( ( SV50 @ ( sK46_SY225 @ SV127 @ SV50 ) )
= $true )
| ( ( SV50 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1102]) ).
thf(1159,plain,
! [SV127: $i,SV198: $i,SV224: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV224 )
| ( SV198 = SV224 ) )
= $true )
| ( ( SV50 @ SV198 )
= $false )
| ( ( SV127
= ( sK46_SY225 @ SV127 @ SV50 ) )
= $false )
| ( ( SV50 @ SV127 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1103]) ).
thf(1160,plain,
! [SV203: $i,SV154: $i,SV52: $i] :
( ( ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1161,plain,
! [SV52: $i,SV154: $i,SV212: $i] :
( ( ( in @ SV212 @ SV154 )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( ~ ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1162,plain,
! [SV181: $i,SV52: $i,SV192: $i] :
( ( ( in @ SV192 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ SV181 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( ! [SY852: $i] :
( ~ ( in @ SY852 @ SV181 )
| ( in @ SY852 @ SV192 ) )
| ! [SY853: $i] :
( ~ ( in @ SY853 @ SV192 )
| ( in @ SY853 @ SV181 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1163,plain,
! [SV52: $i,SV204: $i] :
( ( ( in @ SV204 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( ! [SY857: $i] :
( ~ ( in @ SY857 @ SV204 )
| ( in @ SY857 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1164,plain,
! [SV213: $i,SV52: $i,SV205: $i] :
( ( ( ~ ( in @ SV205 @ SV52 )
| ~ ( in @ SV213 @ SV52 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ~ ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) )
| ~ ( ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) ) ) )
| ( SV205 = SV213 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1108]) ).
thf(1165,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( in @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) @ SV103 )
= $true )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1109]) ).
thf(1166,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( ~ ( ( ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 )
!= ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ~ ( ~ ( ~ ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
| ~ ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1110]) ).
thf(1167,plain,
! [SV156: $i > $o,SV206: $i,SV139: $i > $o] :
( ( ( ~ ( SV139 @ ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
| ~ ( ( SV206
!= ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) ) ) )
= $false )
| ( ( ~ ( SV139 @ SV206 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1112]) ).
thf(1168,plain,
! [SV156: $i > $o,SV139: $i > $o] :
( ( ( ~ ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) ) )
= $true )
| ( ( ~ ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) )
= $true )
| ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1113]) ).
thf(1169,plain,
! [SV156: $i > $o,SV139: $i > $o] :
( ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1114]) ).
thf(1170,plain,
! [SV140: $i > $o,SV207: $i,SV157: $i > $o] :
( ( ( ~ ( SV157 @ ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
| ~ ( ( SV207
!= ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) ) ) )
= $false )
| ( ( ~ ( SV157 @ SV207 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1171,plain,
! [SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) ) )
= $true )
| ( ( ~ ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) )
= $true )
| ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1116]) ).
thf(1172,plain,
! [SV157: $i > $o,SV140: $i > $o] :
( ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1117]) ).
thf(1173,plain,
! [SV105: $i,SV193: $i,SV56: $i,SV182: $i] :
( ( ( in @ SV182 @ SV56 )
= $false )
| ( ( in @ SV193 @ SV105 )
= $true )
| ( ( SV182 = SV193 )
= $false )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1118]) ).
thf(1174,plain,
! [SV56: $i,SV183: $i,SV105: $i,SV194: $i] :
( ( ( in @ SV194 @ SV105 )
= $false )
| ( ( in @ SV183 @ SV56 )
= $true )
| ( ( SV183 = SV194 )
= $false )
| ( ( SV56 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1119]) ).
thf(1175,plain,
! [SV107: $i,SV199: $i,SV214: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58 @ SV214 @ SV199 ) )
= $true )
| ( ( ~ ( in @ SV214 @ SV107 ) )
= $true )
| ( ( in @ SV199 @ ( sK8_B @ SV107 @ SV58 ) )
= $true )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1176,plain,
! [SV107: $i,SV200: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58 @ ( sK9_Xy @ SV200 @ SV107 @ SV58 ) @ SV200 )
| ~ ( in @ ( sK9_Xy @ SV200 @ SV107 @ SV58 ) @ SV107 ) )
= $false )
| ( ( in @ SV200 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1177,plain,
! [SV174: $i,SV107: $i,SV58: $i > $i > $o] :
( ( ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1178,plain,
! [SV174: $i,SV107: $i,SV58: $i > $i > $o] :
( ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( ~ ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1123]) ).
thf(1179,plain,
! [SV129: $i,SV215: $i,SV59: $i > $o] :
( ( ( ~ ( SV59 @ SV215 ) )
= $true )
| ( ( ( sK19_Xx @ SV59 )
= SV215 )
= $true )
| ( ( SV59 @ ( sK20_SY75 @ SV129 @ SV59 ) )
= $true )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1180,plain,
! [SV129: $i,SV225: $i,SV59: $i > $o] :
( ( ( ~ ( SV59 @ SV225 )
| ( ( sK19_Xx @ SV59 )
= SV225 ) )
= $true )
| ( ( SV129
= ( sK20_SY75 @ SV129 @ SV59 ) )
= $false )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1125]) ).
thf(1181,plain,
! [SV130: $i,SV216: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV216 ) )
= $true )
| ( ( ( sK41_SY206 @ SV60 )
= SV216 )
= $true )
| ( ( SV60 @ ( sK42_Xx @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1127]) ).
thf(1182,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) ) )
= $false )
| ( ( SV60 @ ( sK43_SY599 @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1128]) ).
thf(1183,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) )
= $false )
| ( ( SV60 @ ( sK43_SY599 @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1128]) ).
thf(1184,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) )
| ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) )
= $false )
| ( ( ( sK42_Xx @ SV60 )
= ( sK43_SY599 @ SV60 ) )
= $false )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1185,plain,
! [SV109: $i > $o,SV184: $i,SV62: $i > $o] :
( ( ( SV62 @ SV184 )
= $false )
| ( ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1186,plain,
! [SV62: $i > $o,SV109: $i > $o,SV184: $i] :
( ( ( SV184
= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $false )
| ( ( ~ ( SV62 @ SV184 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1187,plain,
! [SV109: $i > $o,SV62: $i > $o] :
( ( ( ! [SY788: $i] :
( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) )
| ~ ( ( SY788
!= ( sK57_SY258 @ SY788 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SY788 ) ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1132]) ).
thf(1188,plain,
! [SV109: $i > $o,SV217: $i,SV62: $i > $o] :
( ( ( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
| ~ ( ( SV217
!= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) ) ) ) )
= $true )
| ( ( ~ ( SV62 @ SV217 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1133]) ).
thf(1189,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( ( in @ SV131 @ SV110 )
= $true )
| ( ( ! [SX3: $o] : SX3 )
= $true )
| ( ( SV131 = SV63 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1134]) ).
thf(1190,plain,
! [SV110: $i,SV63: $i,SV131: $i,SV226: $o] :
( ( ( ~ SV226
| SV226 )
= $true )
| ( ( SV131 = SV63 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1135]) ).
thf(1191,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ $true
| $true )
= $true )
| ( ( SV131 = SV63 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1135]) ).
thf(1192,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ $false
| $false )
= $true )
| ( ( SV131 = SV63 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1135]) ).
thf(1193,plain,
! [SV63: $i,SV110: $i,SV131: $i,SV218: $o] :
( ( ( ~ SV218 ) = $true )
| ( ( ( in @ SV131 @ SV110 )
| SV218 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1136]) ).
thf(1194,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( ( ~ $true ) = $true )
| ( ( ( in @ SV131 @ SV110 )
| $true )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1137]) ).
thf(1195,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( ( ~ $false ) = $true )
| ( ( ( in @ SV131 @ SV110 )
| $false )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1138]) ).
thf(1196,plain,
! [SV110: $i,SV63: $i,SV131: $i,SV219: $o] :
( ( ( ~ SV219 ) = $true )
| ( ( ~ SV219
| SV219 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1139]) ).
thf(1197,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ $true ) = $true )
| ( ( ~ $true
| $true )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1140]) ).
thf(1198,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ $false ) = $true )
| ( ( ~ $false
| $false )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1141]) ).
thf(1199,plain,
! [SV132: $i,SV227: $i,SV67: $i > $o] :
( ( ( ~ ( SV67 @ SV227 )
| ( ( sK44_SY212 @ SV67 )
= SV227 ) )
= $true )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $false )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1142]) ).
thf(1200,plain,
! [SV132: $i,SV208: $i,SV67: $i > $o] :
( ( ( SV67 @ SV208 )
= $false )
| ( ( ( sK44_SY212 @ SV67 )
= SV208 )
= $true )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $true )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1144]) ).
thf(1201,plain,
! [SV134: $i,SV69: $i > $o,SV220: $i] :
( ( ( SV220
!= ( sK30_Xx @ SV69 ) )
= $true )
| ( ( SV69 @ SV220 )
= $true )
| ( ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
= $true )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1145]) ).
thf(1202,plain,
! [SV134: $i,SV221: $i,SV69: $i > $o] :
( ( ( ~ ( SV69 @ SV221 ) )
= $true )
| ( ( SV221
= ( sK30_Xx @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
= $true )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1146]) ).
thf(1203,plain,
! [SV134: $i,SV69: $i > $o,SV228: $i] :
( ( ( ( SV228
!= ( sK30_Xx @ SV69 ) )
| ( SV69 @ SV228 ) )
= $true )
| ( ( SV134
= ( sK31_SY143 @ SV134 @ SV69 ) )
= $false )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1147]) ).
thf(1204,plain,
! [SV134: $i,SV229: $i,SV69: $i > $o] :
( ( ( ~ ( SV69 @ SV229 )
| ( SV229
= ( sK30_Xx @ SV69 ) ) )
= $true )
| ( ( SV134
= ( sK31_SY143 @ SV134 @ SV69 ) )
= $false )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1148]) ).
thf(1205,plain,
! [SV125: $i,SV209: $i,SV45: $i > $o] :
( ( ( SV45 @ SV209 )
= $false )
| ( ( ( sK39_SY199 @ SV45 )
= SV209 )
= $true )
| ( ( SV45 @ ( sK40_Xy @ SV125 @ SV45 ) )
= $true )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1152]) ).
thf(1206,plain,
! [SV125: $i,SV222: $i,SV45: $i > $o] :
( ( ( ~ ( SV45 @ SV222 ) )
= $true )
| ( ( ( sK39_SY199 @ SV45 )
= SV222 )
= $true )
| ( ( SV125
= ( sK40_Xy @ SV125 @ SV45 ) )
= $false )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1153]) ).
thf(1207,plain,
! [SV126: $i,SV189: $i,SV210: $i,SV46: $i > $o] :
( ( ( SV46 @ SV210 )
= $false )
| ( ( SV189 = SV210 )
= $true )
| ( ( SV46 @ SV189 )
= $false )
| ( ( SV46 @ ( sK55_SY249 @ SV126 @ SV46 ) )
= $true )
| ( ( SV46 @ SV126 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1154]) ).
thf(1208,plain,
! [SV126: $i,SV197: $i,SV223: $i,SV46: $i > $o] :
( ( ( ~ ( SV46 @ SV223 ) )
= $true )
| ( ( SV197 = SV223 )
= $true )
| ( ( SV46 @ SV197 )
= $false )
| ( ( SV126
= ( sK55_SY249 @ SV126 @ SV46 ) )
= $false )
| ( ( SV46 @ SV126 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1155]) ).
thf(1209,plain,
! [SV127: $i,SV191: $i,SV211: $i,SV50: $i > $o] :
( ( ( SV50 @ SV211 )
= $false )
| ( ( SV191 = SV211 )
= $true )
| ( ( SV50 @ SV191 )
= $false )
| ( ( SV50 @ ( sK46_SY225 @ SV127 @ SV50 ) )
= $true )
| ( ( SV50 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1158]) ).
thf(1210,plain,
! [SV127: $i,SV198: $i,SV224: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV224 ) )
= $true )
| ( ( SV198 = SV224 )
= $true )
| ( ( SV50 @ SV198 )
= $false )
| ( ( SV127
= ( sK46_SY225 @ SV127 @ SV50 ) )
= $false )
| ( ( SV50 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1159]) ).
thf(1211,plain,
! [SV203: $i,SV154: $i,SV52: $i] :
( ( ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1160]) ).
thf(1212,plain,
! [SV203: $i,SV52: $i,SV154: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1160]) ).
thf(1213,plain,
! [SV212: $i,SV154: $i,SV52: $i] :
( ( ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) )
| ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1214,plain,
! [SV52: $i,SV192: $i,SV181: $i] :
( ( ( ! [SY852: $i] :
( ~ ( in @ SY852 @ SV181 )
| ( in @ SY852 @ SV192 ) ) )
= $true )
| ( ( ! [SY853: $i] :
( ~ ( in @ SY853 @ SV192 )
| ( in @ SY853 @ SV181 ) ) )
= $true )
| ( ( in @ SV181 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ SV192 @ ( sK13_B @ SV52 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1162]) ).
thf(1215,plain,
! [SV52: $i,SV204: $i,SV230: $i] :
( ( ( ~ ( in @ SV230 @ SV204 )
| ( in @ SV230 @ SV52 ) )
= $true )
| ( ( in @ SV204 @ ( sK13_B @ SV52 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1163]) ).
thf(1216,plain,
! [SV213: $i,SV52: $i,SV205: $i] :
( ( ( ~ ( in @ SV205 @ SV52 ) )
= $true )
| ( ( ~ ( in @ SV213 @ SV52 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ~ ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) )
| ~ ( ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) ) ) )
| ( SV205 = SV213 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1164]) ).
thf(1217,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( ( ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 )
!= ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ~ ( ~ ( ~ ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
| ~ ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1218,plain,
! [SV156: $i > $o,SV206: $i,SV139: $i > $o] :
( ( ( ~ ( SV139 @ ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) ) )
= $false )
| ( ( ~ ( SV139 @ SV206 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1167]) ).
thf(1219,plain,
! [SV139: $i > $o,SV156: $i > $o,SV206: $i] :
( ( ( ~ ( ( SV206
!= ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) ) ) )
= $false )
| ( ( ~ ( SV139 @ SV206 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1167]) ).
thf(1220,plain,
! [SV156: $i > $o,SV139: $i > $o] :
( ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( ~ ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) ) )
= $true )
| ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1221,plain,
! [SV156: $i > $o,SV139: $i > $o] :
( ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1169]) ).
thf(1222,plain,
! [SV140: $i > $o,SV207: $i,SV157: $i > $o] :
( ( ( ~ ( SV157 @ ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) ) )
= $false )
| ( ( ~ ( SV157 @ SV207 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1170]) ).
thf(1223,plain,
! [SV140: $i > $o,SV157: $i > $o,SV207: $i] :
( ( ( ~ ( ( SV207
!= ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) ) ) )
= $false )
| ( ( ~ ( SV157 @ SV207 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1170]) ).
thf(1224,plain,
! [SV157: $i > $o,SV140: $i > $o] :
( ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( ~ ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) ) )
= $true )
| ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1225,plain,
! [SV140: $i > $o,SV157: $i > $o] :
( ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1172]) ).
thf(1226,plain,
! [SV107: $i,SV199: $i,SV214: $i,SV58: $i > $i > $o] :
( ( ( SV58 @ SV214 @ SV199 )
= $false )
| ( ( ~ ( in @ SV214 @ SV107 ) )
= $true )
| ( ( in @ SV199 @ ( sK8_B @ SV107 @ SV58 ) )
= $true )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1175]) ).
thf(1227,plain,
! [SV107: $i,SV200: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58 @ ( sK9_Xy @ SV200 @ SV107 @ SV58 ) @ SV200 ) )
= $false )
| ( ( in @ SV200 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1176]) ).
thf(1228,plain,
! [SV58: $i > $i > $o,SV107: $i,SV200: $i] :
( ( ( ~ ( in @ ( sK9_Xy @ SV200 @ SV107 @ SV58 ) @ SV107 ) )
= $false )
| ( ( in @ SV200 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1176]) ).
thf(1229,plain,
! [SV174: $i,SV107: $i,SV58: $i > $i > $o] :
( ( ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1177]) ).
thf(1230,plain,
! [SV174: $i,SV58: $i > $i > $o,SV107: $i] :
( ( ( ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1177]) ).
thf(1231,plain,
! [SV174: $i,SV107: $i,SV58: $i > $i > $o] :
( ( ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) )
| ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) )
= $false )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1178]) ).
thf(1232,plain,
! [SV129: $i,SV215: $i,SV59: $i > $o] :
( ( ( SV59 @ SV215 )
= $false )
| ( ( ( sK19_Xx @ SV59 )
= SV215 )
= $true )
| ( ( SV59 @ ( sK20_SY75 @ SV129 @ SV59 ) )
= $true )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1233,plain,
! [SV129: $i,SV225: $i,SV59: $i > $o] :
( ( ( ~ ( SV59 @ SV225 ) )
= $true )
| ( ( ( sK19_Xx @ SV59 )
= SV225 )
= $true )
| ( ( SV129
= ( sK20_SY75 @ SV129 @ SV59 ) )
= $false )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1180]) ).
thf(1234,plain,
! [SV130: $i,SV216: $i,SV60: $i > $o] :
( ( ( SV60 @ SV216 )
= $false )
| ( ( ( sK41_SY206 @ SV60 )
= SV216 )
= $true )
| ( ( SV60 @ ( sK42_Xx @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1235,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) ) )
= $true )
| ( ( SV60 @ ( sK43_SY599 @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1182]) ).
thf(1236,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( SV60 @ ( sK41_SY206 @ SV60 ) )
= $true )
| ( ( SV60 @ ( sK43_SY599 @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1183]) ).
thf(1237,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) ) )
= $false )
| ( ( ( sK42_Xx @ SV60 )
= ( sK43_SY599 @ SV60 ) )
= $false )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1184]) ).
thf(1238,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK41_SY206 @ SV60 ) ) )
= $false )
| ( ( ( sK42_Xx @ SV60 )
= ( sK43_SY599 @ SV60 ) )
= $false )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1184]) ).
thf(1239,plain,
! [SV184: $i,SV62: $i > $o,SV109: $i > $o] :
( ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1185]) ).
thf(1240,plain,
! [SV109: $i > $o,SV184: $i,SV62: $i > $o] :
( ( ( SV62 @ SV184 )
= $false )
| ( ( SV184
= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $false )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1241,plain,
! [SV109: $i > $o,SV231: $i,SV62: $i > $o] :
( ( ( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
| ~ ( ( SV231
!= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) ) ) )
| ~ ( SV62 @ SV231 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1187]) ).
thf(1242,plain,
! [SV109: $i > $o,SV217: $i,SV62: $i > $o] :
( ( ( ~ ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
| ~ ( ( SV217
!= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV62 @ SV217 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1243,plain,
! [SV63: $i,SV110: $i,SV131: $i,SV232: $o] :
( ( SV232 = $true )
| ( ( in @ SV131 @ SV110 )
= $true )
| ( ( SV131 = SV63 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1189]) ).
thf(1244,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( $true = $true )
| ( ( in @ SV131 @ SV110 )
= $true )
| ( ( SV131 = SV63 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1189]) ).
thf(1245,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( $false = $true )
| ( ( in @ SV131 @ SV110 )
= $true )
| ( ( SV131 = SV63 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1189]) ).
thf(1246,plain,
! [SV110: $i,SV63: $i,SV131: $i,SV226: $o] :
( ( ( ~ SV226 ) = $true )
| ( SV226 = $true )
| ( ( SV131 = SV63 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1190]) ).
thf(1247,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ $true ) = $true )
| ( $true = $true )
| ( ( SV131 = SV63 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1191]) ).
thf(1248,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( ( SV131 = SV63 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1192]) ).
thf(1249,plain,
! [SV63: $i,SV110: $i,SV131: $i,SV218: $o] :
( ( SV218 = $false )
| ( ( ( in @ SV131 @ SV110 )
| SV218 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1250,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( $true = $false )
| ( ( ( in @ SV131 @ SV110 )
| $true )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1251,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( $false = $false )
| ( ( ( in @ SV131 @ SV110 )
| $false )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1252,plain,
! [SV110: $i,SV63: $i,SV131: $i,SV219: $o] :
( ( SV219 = $false )
| ( ( ~ SV219
| SV219 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1253,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( $true = $false )
| ( ( ~ $true
| $true )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1197]) ).
thf(1254,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( $false = $false )
| ( ( ~ $false
| $false )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1198]) ).
thf(1255,plain,
! [SV132: $i,SV227: $i,SV67: $i > $o] :
( ( ( ~ ( SV67 @ SV227 ) )
= $true )
| ( ( ( sK44_SY212 @ SV67 )
= SV227 )
= $true )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $false )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1199]) ).
thf(1256,plain,
! [SV134: $i,SV69: $i > $o,SV220: $i] :
( ( ( SV220
= ( sK30_Xx @ SV69 ) )
= $false )
| ( ( SV69 @ SV220 )
= $true )
| ( ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
= $true )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1201]) ).
thf(1257,plain,
! [SV134: $i,SV221: $i,SV69: $i > $o] :
( ( ( SV69 @ SV221 )
= $false )
| ( ( SV221
= ( sK30_Xx @ SV69 ) )
= $true )
| ( ( SV69 @ ( sK31_SY143 @ SV134 @ SV69 ) )
= $true )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1202]) ).
thf(1258,plain,
! [SV134: $i,SV69: $i > $o,SV228: $i] :
( ( ( SV228
!= ( sK30_Xx @ SV69 ) )
= $true )
| ( ( SV69 @ SV228 )
= $true )
| ( ( SV134
= ( sK31_SY143 @ SV134 @ SV69 ) )
= $false )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1203]) ).
thf(1259,plain,
! [SV134: $i,SV229: $i,SV69: $i > $o] :
( ( ( ~ ( SV69 @ SV229 ) )
= $true )
| ( ( SV229
= ( sK30_Xx @ SV69 ) )
= $true )
| ( ( SV134
= ( sK31_SY143 @ SV134 @ SV69 ) )
= $false )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1204]) ).
thf(1260,plain,
! [SV125: $i,SV222: $i,SV45: $i > $o] :
( ( ( SV45 @ SV222 )
= $false )
| ( ( ( sK39_SY199 @ SV45 )
= SV222 )
= $true )
| ( ( SV125
= ( sK40_Xy @ SV125 @ SV45 ) )
= $false )
| ( ( SV45 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1206]) ).
thf(1261,plain,
! [SV126: $i,SV197: $i,SV223: $i,SV46: $i > $o] :
( ( ( SV46 @ SV223 )
= $false )
| ( ( SV197 = SV223 )
= $true )
| ( ( SV46 @ SV197 )
= $false )
| ( ( SV126
= ( sK55_SY249 @ SV126 @ SV46 ) )
= $false )
| ( ( SV46 @ SV126 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1262,plain,
! [SV127: $i,SV198: $i,SV224: $i,SV50: $i > $o] :
( ( ( SV50 @ SV224 )
= $false )
| ( ( SV198 = SV224 )
= $true )
| ( ( SV50 @ SV198 )
= $false )
| ( ( SV127
= ( sK46_SY225 @ SV127 @ SV50 ) )
= $false )
| ( ( SV50 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1263,plain,
! [SV203: $i,SV154: $i,SV52: $i] :
( ( ( ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1264,plain,
! [SV203: $i,SV52: $i,SV154: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1212]) ).
thf(1265,plain,
! [SV212: $i,SV154: $i,SV52: $i] :
( ( ( ~ ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1213]) ).
thf(1266,plain,
! [SV212: $i,SV52: $i,SV154: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1213]) ).
thf(1267,plain,
! [SV52: $i,SV192: $i,SV181: $i,SV233: $i] :
( ( ( ~ ( in @ SV233 @ SV181 )
| ( in @ SV233 @ SV192 ) )
= $true )
| ( ( ! [SY853: $i] :
( ~ ( in @ SY853 @ SV192 )
| ( in @ SY853 @ SV181 ) ) )
= $true )
| ( ( in @ SV181 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ SV192 @ ( sK13_B @ SV52 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1214]) ).
thf(1268,plain,
! [SV52: $i,SV204: $i,SV230: $i] :
( ( ( ~ ( in @ SV230 @ SV204 ) )
= $true )
| ( ( in @ SV230 @ SV52 )
= $true )
| ( ( in @ SV204 @ ( sK13_B @ SV52 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1215]) ).
thf(1269,plain,
! [SV213: $i,SV52: $i,SV205: $i] :
( ( ( in @ SV205 @ SV52 )
= $false )
| ( ( ~ ( in @ SV213 @ SV52 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ~ ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) )
| ~ ( ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) ) ) )
| ( SV205 = SV213 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1216]) ).
thf(1270,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 )
!= ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) )
= $false )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1217]) ).
thf(1271,plain,
! [SV53: $i,SV103: $i,SV167: $i > $o,SV155: $i > $o] :
( ( ( ~ ~ ( ~ ( ~ ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
| ~ ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1217]) ).
thf(1272,plain,
! [SV156: $i > $o,SV206: $i,SV139: $i > $o] :
( ( ( SV139 @ ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $true )
| ( ( ~ ( SV139 @ SV206 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1218]) ).
thf(1273,plain,
! [SV139: $i > $o,SV156: $i > $o,SV206: $i] :
( ( ( SV206
!= ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $true )
| ( ( ~ ( SV139 @ SV206 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1219]) ).
thf(1274,plain,
! [SV139: $i > $o,SV156: $i > $o] :
( ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) )
| ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1220]) ).
thf(1275,plain,
! [SV156: $i > $o,SV234: $i,SV139: $i > $o] :
( ( ( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
| ~ ( ( SV234
!= ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SV234 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1221]) ).
thf(1276,plain,
! [SV140: $i > $o,SV207: $i,SV157: $i > $o] :
( ( ( SV157 @ ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $true )
| ( ( ~ ( SV157 @ SV207 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1222]) ).
thf(1277,plain,
! [SV140: $i > $o,SV157: $i > $o,SV207: $i] :
( ( ( SV207
!= ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $true )
| ( ( ~ ( SV157 @ SV207 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1223]) ).
thf(1278,plain,
! [SV140: $i > $o,SV157: $i > $o] :
( ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1224]) ).
thf(1279,plain,
! [SV140: $i > $o,SV235: $i,SV157: $i > $o] :
( ( ( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
| ~ ( ( SV235
!= ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SV235 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1280,plain,
! [SV199: $i,SV58: $i > $i > $o,SV107: $i,SV214: $i] :
( ( ( in @ SV214 @ SV107 )
= $false )
| ( ( SV58 @ SV214 @ SV199 )
= $false )
| ( ( in @ SV199 @ ( sK8_B @ SV107 @ SV58 ) )
= $true )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1281,plain,
! [SV107: $i,SV200: $i,SV58: $i > $i > $o] :
( ( ( SV58 @ ( sK9_Xy @ SV200 @ SV107 @ SV58 ) @ SV200 )
= $true )
| ( ( in @ SV200 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1227]) ).
thf(1282,plain,
! [SV58: $i > $i > $o,SV107: $i,SV200: $i] :
( ( ( in @ ( sK9_Xy @ SV200 @ SV107 @ SV58 ) @ SV107 )
= $true )
| ( ( in @ SV200 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( in @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV107 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1228]) ).
thf(1283,plain,
! [SV174: $i,SV107: $i,SV58: $i > $i > $o] :
( ( ( ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1229]) ).
thf(1284,plain,
! [SV174: $i,SV58: $i > $i > $o,SV107: $i] :
( ( ( ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1230]) ).
thf(1285,plain,
! [SV174: $i,SV107: $i,SV58: $i > $i > $o] :
( ( ( ~ ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) ) )
= $false )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1231]) ).
thf(1286,plain,
! [SV174: $i,SV58: $i > $i > $o,SV107: $i] :
( ( ( ~ ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) )
= $false )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1231]) ).
thf(1287,plain,
! [SV129: $i,SV225: $i,SV59: $i > $o] :
( ( ( SV59 @ SV225 )
= $false )
| ( ( ( sK19_Xx @ SV59 )
= SV225 )
= $true )
| ( ( SV129
= ( sK20_SY75 @ SV129 @ SV59 ) )
= $false )
| ( ( SV59 @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1288,plain,
! [SV130: $i,SV236: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV236 )
| ( ( sK41_SY206 @ SV60 )
= SV236 ) )
= $true )
| ( ( SV60 @ ( sK43_SY599 @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1235]) ).
thf(1289,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( ! [SY716: $i] :
( ~ ( SV60 @ SY716 )
| ( ( sK41_SY206 @ SV60 )
= SY716 ) ) )
= $true )
| ( ( ( sK42_Xx @ SV60 )
= ( sK43_SY599 @ SV60 ) )
= $false )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1237]) ).
thf(1290,plain,
! [SV130: $i,SV60: $i > $o] :
( ( ( SV60 @ ( sK41_SY206 @ SV60 ) )
= $true )
| ( ( ( sK42_Xx @ SV60 )
= ( sK43_SY599 @ SV60 ) )
= $false )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1238]) ).
thf(1291,plain,
! [SV184: $i,SV62: $i > $o,SV237: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SV237 @ SV109 @ SV62 ) )
| ~ ( ( SV237
!= ( sK56_SY261 @ SV237 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SV237 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1239]) ).
thf(1292,plain,
! [SV184: $i,SV62: $i > $o,SV109: $i > $o] :
( ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV184
= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1240]) ).
thf(1293,plain,
! [SV109: $i > $o,SV231: $i,SV62: $i > $o] :
( ( ( ~ ( ~ ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
| ~ ( ( SV231
!= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) ) ) ) )
= $true )
| ( ( ~ ( SV62 @ SV231 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1241]) ).
thf(1294,plain,
! [SV109: $i > $o,SV217: $i,SV62: $i > $o] :
( ( ( ~ ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) ) )
= $false )
| ( ( ~ ( SV62 @ SV217 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1242]) ).
thf(1295,plain,
! [SV62: $i > $o,SV109: $i > $o,SV217: $i] :
( ( ( ~ ( ( SV217
!= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV62 @ SV217 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1242]) ).
thf(1296,plain,
! [SV110: $i,SV63: $i,SV131: $i,SV226: $o] :
( ( SV226 = $false )
| ( SV226 = $true )
| ( ( SV131 = SV63 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1297,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( $true = $false )
| ( $true = $true )
| ( ( SV131 = SV63 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1247]) ).
thf(1298,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( $false = $false )
| ( $false = $true )
| ( ( SV131 = SV63 )
= $true )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1299,plain,
! [SV63: $i,SV218: $o,SV110: $i,SV131: $i] :
( ( ( in @ SV131 @ SV110 )
= $true )
| ( SV218 = $true )
| ( SV218 = $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1249]) ).
thf(1300,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( ( in @ SV131 @ SV110 )
= $true )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1250]) ).
thf(1301,plain,
! [SV63: $i,SV110: $i,SV131: $i] :
( ( ( in @ SV131 @ SV110 )
= $true )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1251]) ).
thf(1302,plain,
! [SV110: $i,SV63: $i,SV131: $i,SV219: $o] :
( ( ( ~ SV219 ) = $true )
| ( SV219 = $true )
| ( SV219 = $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1252]) ).
thf(1303,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ $true ) = $true )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1253]) ).
thf(1304,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( ( ~ $false ) = $true )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1254]) ).
thf(1305,plain,
! [SV132: $i,SV227: $i,SV67: $i > $o] :
( ( ( SV67 @ SV227 )
= $false )
| ( ( ( sK44_SY212 @ SV67 )
= SV227 )
= $true )
| ( ( ( sK45_Xy @ SV132 @ SV67 )
= SV132 )
= $false )
| ( ( SV67 @ ( sK45_Xy @ SV132 @ SV67 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1306,plain,
! [SV134: $i,SV69: $i > $o,SV228: $i] :
( ( ( SV228
= ( sK30_Xx @ SV69 ) )
= $false )
| ( ( SV69 @ SV228 )
= $true )
| ( ( SV134
= ( sK31_SY143 @ SV134 @ SV69 ) )
= $false )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1307,plain,
! [SV134: $i,SV229: $i,SV69: $i > $o] :
( ( ( SV69 @ SV229 )
= $false )
| ( ( SV229
= ( sK30_Xx @ SV69 ) )
= $true )
| ( ( SV134
= ( sK31_SY143 @ SV134 @ SV69 ) )
= $false )
| ( ( SV69 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1308,plain,
! [SV203: $i,SV154: $i,SV52: $i,SV238: $i] :
( ( ( ~ ( in @ SV238 @ ( sK13_B @ SV52 ) )
| ! [SY859: $i] :
( ~ ( in @ SY859 @ SV238 )
| ( in @ SY859 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV238 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1263]) ).
thf(1309,plain,
! [SV203: $i,SV52: $i,SV154: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1310,plain,
! [SV212: $i,SV154: $i,SV52: $i] :
( ( ( ! [SY822: $i] :
( ~ ( in @ SY822 @ ( sK13_B @ SV52 ) )
| ! [SY823: $i] :
( ~ ( in @ SY823 @ SY822 )
| ( in @ SY823 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SY822 ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1265]) ).
thf(1311,plain,
! [SV212: $i,SV52: $i,SV154: $i] :
( ( ( ~ ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1312,plain,
! [SV52: $i,SV192: $i,SV181: $i,SV233: $i] :
( ( ( ~ ( in @ SV233 @ SV181 ) )
= $true )
| ( ( in @ SV233 @ SV192 )
= $true )
| ( ( ! [SY853: $i] :
( ~ ( in @ SY853 @ SV192 )
| ( in @ SY853 @ SV181 ) ) )
= $true )
| ( ( in @ SV181 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ SV192 @ ( sK13_B @ SV52 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1267]) ).
thf(1313,plain,
! [SV52: $i,SV204: $i,SV230: $i] :
( ( ( in @ SV230 @ SV204 )
= $false )
| ( ( in @ SV230 @ SV52 )
= $true )
| ( ( in @ SV204 @ ( sK13_B @ SV52 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1268]) ).
thf(1314,plain,
! [SV205: $i,SV52: $i,SV213: $i] :
( ( ( in @ SV213 @ SV52 )
= $false )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( ~ ( ~ ( in @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ~ ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) )
| ~ ( ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) ) ) )
| ( SV205 = SV213 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1269]) ).
thf(1315,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 )
= ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) )
= $true )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1270]) ).
thf(1316,plain,
! [SV53: $i,SV103: $i,SV167: $i > $o,SV155: $i > $o] :
( ( ( ~ ( ~ ( ~ ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
| ~ ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1271]) ).
thf(1317,plain,
! [SV156: $i > $o,SV206: $i,SV139: $i > $o] :
( ( ( SV139 @ SV206 )
= $false )
| ( ( SV139 @ ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1272]) ).
thf(1318,plain,
! [SV139: $i > $o,SV156: $i > $o,SV206: $i] :
( ( ( SV206
= ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $false )
| ( ( ~ ( SV139 @ SV206 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1319,plain,
! [SV156: $i > $o,SV139: $i > $o] :
( ( ( ! [SY828: $i] :
( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) )
| ~ ( ( SY828
!= ( sK52_SY234 @ SY828 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SY828 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1274]) ).
thf(1320,plain,
! [SV156: $i > $o,SV234: $i,SV139: $i > $o] :
( ( ( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
| ~ ( ( SV234
!= ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) ) ) ) )
= $true )
| ( ( ~ ( SV139 @ SV234 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1275]) ).
thf(1321,plain,
! [SV140: $i > $o,SV207: $i,SV157: $i > $o] :
( ( ( SV157 @ SV207 )
= $false )
| ( ( SV157 @ ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1276]) ).
thf(1322,plain,
! [SV140: $i > $o,SV157: $i > $o,SV207: $i] :
( ( ( SV207
= ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $false )
| ( ( ~ ( SV157 @ SV207 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1323,plain,
! [SV140: $i > $o,SV157: $i > $o] :
( ( ( ! [SY830: $i] :
( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) )
| ~ ( ( SY830
!= ( sK48_SY237 @ SY830 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SY830 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1278]) ).
thf(1324,plain,
! [SV140: $i > $o,SV235: $i,SV157: $i > $o] :
( ( ( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
| ~ ( ( SV235
!= ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) ) ) ) )
= $true )
| ( ( ~ ( SV157 @ SV235 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1279]) ).
thf(1325,plain,
! [SV174: $i,SV107: $i,SV239: $i,SV58: $i > $i > $o] :
( ( ( ! [SY860: $i] :
( ~ ( SV58 @ SY860 @ SV239 )
| ~ ( in @ SY860 @ SV107 ) )
| ( in @ SV239 @ ( sK8_B @ SV107 @ SV58 ) ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1283]) ).
thf(1326,plain,
! [SV174: $i,SV58: $i > $i > $o,SV107: $i,SV240: $i] :
( ( ( ~ ( in @ SV240 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SV240 @ SV107 @ SV58 ) @ SV240 )
| ~ ( in @ ( sK9_Xy @ SV240 @ SV107 @ SV58 ) @ SV107 ) ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1284]) ).
thf(1327,plain,
! [SV174: $i,SV107: $i,SV58: $i > $i > $o] :
( ( ( ! [SY784: $i] :
( ! [SY785: $i] :
( ~ ( SV58 @ SY785 @ SY784 )
| ~ ( in @ SY785 @ SV107 ) )
| ( in @ SY784 @ ( sK8_B @ SV107 @ SV58 ) ) ) )
= $true )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1285]) ).
thf(1328,plain,
! [SV174: $i,SV58: $i > $i > $o,SV107: $i] :
( ( ( ! [SY786: $i] :
( ~ ( in @ SY786 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SY786 )
| ~ ( in @ ( sK9_Xy @ SY786 @ SV107 @ SV58 ) @ SV107 ) ) ) )
= $true )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1286]) ).
thf(1329,plain,
! [SV130: $i,SV236: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV236 ) )
= $true )
| ( ( ( sK41_SY206 @ SV60 )
= SV236 )
= $true )
| ( ( SV60 @ ( sK43_SY599 @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1288]) ).
thf(1330,plain,
! [SV130: $i,SV241: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV241 )
| ( ( sK41_SY206 @ SV60 )
= SV241 ) )
= $true )
| ( ( ( sK42_Xx @ SV60 )
= ( sK43_SY599 @ SV60 ) )
= $false )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1289]) ).
thf(1331,plain,
! [SV184: $i,SV62: $i > $o,SV237: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SV237 @ SV109 @ SV62 ) )
| ~ ( ( SV237
!= ( sK56_SY261 @ SV237 @ SV109 @ SV62 ) ) ) ) )
= $true )
| ( ( ~ ( SV109 @ SV237 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1291]) ).
thf(1332,plain,
! [SV184: $i,SV62: $i > $o,SV242: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SV242 @ SV109 @ SV62 ) )
| ~ ( ( SV242
!= ( sK56_SY261 @ SV242 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SV242 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV184
= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1292]) ).
thf(1333,plain,
! [SV109: $i > $o,SV231: $i,SV62: $i > $o] :
( ( ( ~ ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
| ~ ( ( SV231
!= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV62 @ SV231 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1334,plain,
! [SV109: $i > $o,SV217: $i,SV62: $i > $o] :
( ( ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV62 @ SV217 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1294]) ).
thf(1335,plain,
! [SV62: $i > $o,SV109: $i > $o,SV217: $i] :
( ( ( SV217
!= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV62 @ SV217 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1295]) ).
thf(1336,plain,
! [SV110: $i,SV63: $i,SV131: $i,SV219: $o] :
( ( SV219 = $false )
| ( SV219 = $true )
| ( SV219 = $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1302]) ).
thf(1337,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( $true = $false )
| ( $true = $true )
| ( $true = $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1303]) ).
thf(1338,plain,
! [SV110: $i,SV63: $i,SV131: $i] :
( ( $false = $false )
| ( $false = $true )
| ( $false = $false )
| ( ( in @ SV131 @ ( setadjoin @ SV63 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1304]) ).
thf(1339,plain,
! [SV203: $i,SV154: $i,SV52: $i,SV238: $i] :
( ( ( ~ ( in @ SV238 @ ( sK13_B @ SV52 ) ) )
= $true )
| ( ( ! [SY859: $i] :
( ~ ( in @ SY859 @ SV238 )
| ( in @ SY859 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV238 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1308]) ).
thf(1340,plain,
! [SV203: $i,SV52: $i,SV154: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1309]) ).
thf(1341,plain,
! [SV203: $i,SV52: $i,SV154: $i] :
( ( ( ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1309]) ).
thf(1342,plain,
! [SV212: $i,SV154: $i,SV52: $i,SV243: $i] :
( ( ( ~ ( in @ SV243 @ ( sK13_B @ SV52 ) )
| ! [SY861: $i] :
( ~ ( in @ SY861 @ SV243 )
| ( in @ SY861 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV243 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1310]) ).
thf(1343,plain,
! [SV212: $i,SV52: $i,SV154: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
| ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1311]) ).
thf(1344,plain,
! [SV52: $i,SV192: $i,SV181: $i,SV233: $i] :
( ( ( in @ SV233 @ SV181 )
= $false )
| ( ( in @ SV233 @ SV192 )
= $true )
| ( ( ! [SY853: $i] :
( ~ ( in @ SY853 @ SV192 )
| ( in @ SY853 @ SV181 ) ) )
= $true )
| ( ( in @ SV181 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ SV192 @ ( sK13_B @ SV52 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1312]) ).
thf(1345,plain,
! [SV52: $i,SV205: $i,SV213: $i] :
( ( ( ~ ( ~ ( in @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ~ ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) )
| ~ ( ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) ) ) ) )
= $true )
| ( ( SV205 = SV213 )
= $true )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( in @ SV213 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1314]) ).
thf(1346,plain,
! [SV53: $i,SV103: $i,SV167: $i > $o,SV155: $i > $o] :
( ( ( ~ ( ~ ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
| ~ ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1316]) ).
thf(1347,plain,
! [SV206: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) )
= $false )
| ( ( SV139 @ ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1317]) ).
thf(1348,plain,
! [SV156: $i > $o,SV206: $i,SV139: $i > $o] :
( ( ( SV139 @ SV206 )
= $false )
| ( ( SV206
= ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $false )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1318]) ).
thf(1349,plain,
! [SV156: $i > $o,SV244: $i,SV139: $i > $o] :
( ( ( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
| ~ ( ( SV244
!= ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) ) ) )
| ~ ( SV139 @ SV244 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1319]) ).
thf(1350,plain,
! [SV156: $i > $o,SV234: $i,SV139: $i > $o] :
( ( ( ~ ( SV139 @ ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
| ~ ( ( SV234
!= ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) ) ) )
= $false )
| ( ( ~ ( SV139 @ SV234 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1320]) ).
thf(1351,plain,
! [SV207: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) )
= $false )
| ( ( SV157 @ ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1321]) ).
thf(1352,plain,
! [SV140: $i > $o,SV207: $i,SV157: $i > $o] :
( ( ( SV157 @ SV207 )
= $false )
| ( ( SV207
= ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $false )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1322]) ).
thf(1353,plain,
! [SV140: $i > $o,SV245: $i,SV157: $i > $o] :
( ( ( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
| ~ ( ( SV245
!= ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) ) ) )
| ~ ( SV157 @ SV245 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1354,plain,
! [SV140: $i > $o,SV235: $i,SV157: $i > $o] :
( ( ( ~ ( SV157 @ ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
| ~ ( ( SV235
!= ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) ) ) )
= $false )
| ( ( ~ ( SV157 @ SV235 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1324]) ).
thf(1355,plain,
! [SV174: $i,SV107: $i,SV239: $i,SV58: $i > $i > $o] :
( ( ( ! [SY860: $i] :
( ~ ( SV58 @ SY860 @ SV239 )
| ~ ( in @ SY860 @ SV107 ) ) )
= $true )
| ( ( in @ SV239 @ ( sK8_B @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1325]) ).
thf(1356,plain,
! [SV174: $i,SV58: $i > $i > $o,SV107: $i,SV240: $i] :
( ( ( ~ ( in @ SV240 @ ( sK8_B @ SV107 @ SV58 ) ) )
= $true )
| ( ( ~ ( ~ ( SV58 @ ( sK9_Xy @ SV240 @ SV107 @ SV58 ) @ SV240 )
| ~ ( in @ ( sK9_Xy @ SV240 @ SV107 @ SV58 ) @ SV107 ) ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1326]) ).
thf(1357,plain,
! [SV174: $i,SV107: $i,SV246: $i,SV58: $i > $i > $o] :
( ( ( ! [SY862: $i] :
( ~ ( SV58 @ SY862 @ SV246 )
| ~ ( in @ SY862 @ SV107 ) )
| ( in @ SV246 @ ( sK8_B @ SV107 @ SV58 ) ) )
= $true )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1327]) ).
thf(1358,plain,
! [SV174: $i,SV58: $i > $i > $o,SV107: $i,SV247: $i] :
( ( ( ~ ( in @ SV247 @ ( sK8_B @ SV107 @ SV58 ) )
| ~ ( ~ ( SV58 @ ( sK9_Xy @ SV247 @ SV107 @ SV58 ) @ SV247 )
| ~ ( in @ ( sK9_Xy @ SV247 @ SV107 @ SV58 ) @ SV107 ) ) )
= $true )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1328]) ).
thf(1359,plain,
! [SV130: $i,SV236: $i,SV60: $i > $o] :
( ( ( SV60 @ SV236 )
= $false )
| ( ( ( sK41_SY206 @ SV60 )
= SV236 )
= $true )
| ( ( SV60 @ ( sK43_SY599 @ SV60 ) )
= $true )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1360,plain,
! [SV130: $i,SV241: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ SV241 ) )
= $true )
| ( ( ( sK41_SY206 @ SV60 )
= SV241 )
= $true )
| ( ( ( sK42_Xx @ SV60 )
= ( sK43_SY599 @ SV60 ) )
= $false )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1330]) ).
thf(1361,plain,
! [SV184: $i,SV62: $i > $o,SV237: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK56_SY261 @ SV237 @ SV109 @ SV62 ) )
| ~ ( ( SV237
!= ( sK56_SY261 @ SV237 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV109 @ SV237 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1362,plain,
! [SV184: $i,SV62: $i > $o,SV242: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SV242 @ SV109 @ SV62 ) )
| ~ ( ( SV242
!= ( sK56_SY261 @ SV242 @ SV109 @ SV62 ) ) ) ) )
= $true )
| ( ( ~ ( SV109 @ SV242 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV184
= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1332]) ).
thf(1363,plain,
! [SV109: $i > $o,SV231: $i,SV62: $i > $o] :
( ( ( ~ ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) ) )
= $false )
| ( ( ~ ( SV62 @ SV231 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1364,plain,
! [SV62: $i > $o,SV109: $i > $o,SV231: $i] :
( ( ( ~ ( ( SV231
!= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV62 @ SV231 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1365,plain,
! [SV109: $i > $o,SV217: $i,SV62: $i > $o] :
( ( ( SV62 @ SV217 )
= $false )
| ( ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1366,plain,
! [SV62: $i > $o,SV109: $i > $o,SV217: $i] :
( ( ( SV217
= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $false )
| ( ( ~ ( SV62 @ SV217 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1335]) ).
thf(1367,plain,
! [SV203: $i,SV154: $i,SV52: $i,SV238: $i] :
( ( ( in @ SV238 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( ! [SY859: $i] :
( ~ ( in @ SY859 @ SV238 )
| ( in @ SY859 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV238 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1339]) ).
thf(1368,plain,
! [SV203: $i,SV52: $i,SV154: $i] :
( ( ( ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1340]) ).
thf(1369,plain,
! [SV203: $i,SV52: $i,SV154: $i] :
( ( ( ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1341]) ).
thf(1370,plain,
! [SV212: $i,SV154: $i,SV52: $i,SV243: $i] :
( ( ( ~ ( in @ SV243 @ ( sK13_B @ SV52 ) ) )
= $true )
| ( ( ! [SY861: $i] :
( ~ ( in @ SY861 @ SV243 )
| ( in @ SY861 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV243 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1342]) ).
thf(1371,plain,
! [SV212: $i,SV52: $i,SV154: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1343]) ).
thf(1372,plain,
! [SV212: $i,SV52: $i,SV154: $i] :
( ( ( ~ ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1343]) ).
thf(1373,plain,
! [SV52: $i,SV233: $i,SV181: $i,SV192: $i,SV248: $i] :
( ( ( ~ ( in @ SV248 @ SV192 )
| ( in @ SV248 @ SV181 ) )
= $true )
| ( ( in @ SV233 @ SV192 )
= $true )
| ( ( in @ SV233 @ SV181 )
= $false )
| ( ( in @ SV181 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ SV192 @ ( sK13_B @ SV52 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1374,plain,
! [SV52: $i,SV205: $i,SV213: $i] :
( ( ( ~ ( in @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ~ ( ~ ( ~ ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ~ ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) )
| ~ ( ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) ) ) )
= $false )
| ( ( SV205 = SV213 )
= $true )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( in @ SV213 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1375,plain,
! [SV53: $i,SV103: $i,SV167: $i > $o,SV155: $i > $o] :
( ( ( ~ ( ~ ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1346]) ).
thf(1376,plain,
! [SV53: $i,SV103: $i,SV167: $i > $o,SV155: $i > $o] :
( ( ( ~ ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) ) )
= $false )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1346]) ).
thf(1377,plain,
! [SV206: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) ) )
= $false )
| ( ( SV139 @ ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1378,plain,
! [SV206: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) )
= $false )
| ( ( SV139 @ ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1379,plain,
! [SV206: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) )
= $false )
| ( ( SV206
= ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1348]) ).
thf(1380,plain,
! [SV156: $i > $o,SV244: $i,SV139: $i > $o] :
( ( ( ~ ( ~ ( SV139 @ ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
| ~ ( ( SV244
!= ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) ) ) ) )
= $true )
| ( ( ~ ( SV139 @ SV244 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1349]) ).
thf(1381,plain,
! [SV156: $i > $o,SV234: $i,SV139: $i > $o] :
( ( ( ~ ( SV139 @ ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) ) )
= $false )
| ( ( ~ ( SV139 @ SV234 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1350]) ).
thf(1382,plain,
! [SV139: $i > $o,SV156: $i > $o,SV234: $i] :
( ( ( ~ ( ( SV234
!= ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) ) ) )
= $false )
| ( ( ~ ( SV139 @ SV234 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1350]) ).
thf(1383,plain,
! [SV207: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) ) )
= $false )
| ( ( SV157 @ ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1351]) ).
thf(1384,plain,
! [SV207: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) )
= $false )
| ( ( SV157 @ ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1351]) ).
thf(1385,plain,
! [SV207: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) )
= $false )
| ( ( SV207
= ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1386,plain,
! [SV140: $i > $o,SV245: $i,SV157: $i > $o] :
( ( ( ~ ( ~ ( SV157 @ ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
| ~ ( ( SV245
!= ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) ) ) ) )
= $true )
| ( ( ~ ( SV157 @ SV245 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1353]) ).
thf(1387,plain,
! [SV140: $i > $o,SV235: $i,SV157: $i > $o] :
( ( ( ~ ( SV157 @ ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) ) )
= $false )
| ( ( ~ ( SV157 @ SV235 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1354]) ).
thf(1388,plain,
! [SV140: $i > $o,SV157: $i > $o,SV235: $i] :
( ( ( ~ ( ( SV235
!= ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) ) ) )
= $false )
| ( ( ~ ( SV157 @ SV235 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1354]) ).
thf(1389,plain,
! [SV174: $i,SV107: $i,SV239: $i,SV249: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58 @ SV249 @ SV239 )
| ~ ( in @ SV249 @ SV107 ) )
= $true )
| ( ( in @ SV239 @ ( sK8_B @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1355]) ).
thf(1390,plain,
! [SV174: $i,SV58: $i > $i > $o,SV107: $i,SV240: $i] :
( ( ( in @ SV240 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( ~ ( ~ ( SV58 @ ( sK9_Xy @ SV240 @ SV107 @ SV58 ) @ SV240 )
| ~ ( in @ ( sK9_Xy @ SV240 @ SV107 @ SV58 ) @ SV107 ) ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1356]) ).
thf(1391,plain,
! [SV174: $i,SV107: $i,SV246: $i,SV58: $i > $i > $o] :
( ( ( ! [SY862: $i] :
( ~ ( SV58 @ SY862 @ SV246 )
| ~ ( in @ SY862 @ SV107 ) ) )
= $true )
| ( ( in @ SV246 @ ( sK8_B @ SV107 @ SV58 ) )
= $true )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1357]) ).
thf(1392,plain,
! [SV174: $i,SV58: $i > $i > $o,SV107: $i,SV247: $i] :
( ( ( ~ ( in @ SV247 @ ( sK8_B @ SV107 @ SV58 ) ) )
= $true )
| ( ( ~ ( ~ ( SV58 @ ( sK9_Xy @ SV247 @ SV107 @ SV58 ) @ SV247 )
| ~ ( in @ ( sK9_Xy @ SV247 @ SV107 @ SV58 ) @ SV107 ) ) )
= $true )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1358]) ).
thf(1393,plain,
! [SV130: $i,SV241: $i,SV60: $i > $o] :
( ( ( SV60 @ SV241 )
= $false )
| ( ( ( sK41_SY206 @ SV60 )
= SV241 )
= $true )
| ( ( ( sK42_Xx @ SV60 )
= ( sK43_SY599 @ SV60 ) )
= $false )
| ( ( SV60 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1360]) ).
thf(1394,plain,
! [SV184: $i,SV62: $i > $o,SV237: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK56_SY261 @ SV237 @ SV109 @ SV62 ) ) )
= $false )
| ( ( ~ ( SV109 @ SV237 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1361]) ).
thf(1395,plain,
! [SV184: $i,SV62: $i > $o,SV109: $i > $o,SV237: $i] :
( ( ( ~ ( ( SV237
!= ( sK56_SY261 @ SV237 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV109 @ SV237 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1361]) ).
thf(1396,plain,
! [SV184: $i,SV62: $i > $o,SV242: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK56_SY261 @ SV242 @ SV109 @ SV62 ) )
| ~ ( ( SV242
!= ( sK56_SY261 @ SV242 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV109 @ SV242 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV184
= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1362]) ).
thf(1397,plain,
! [SV109: $i > $o,SV231: $i,SV62: $i > $o] :
( ( ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV62 @ SV231 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1363]) ).
thf(1398,plain,
! [SV62: $i > $o,SV109: $i > $o,SV231: $i] :
( ( ( SV231
!= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV62 @ SV231 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1364]) ).
thf(1399,plain,
! [SV217: $i,SV62: $i > $o,SV109: $i > $o] :
( ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1365]) ).
thf(1400,plain,
! [SV109: $i > $o,SV217: $i,SV62: $i > $o] :
( ( ( SV62 @ SV217 )
= $false )
| ( ( SV217
= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $false )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1366]) ).
thf(1401,plain,
! [SV203: $i,SV52: $i,SV154: $i,SV238: $i] :
( ( ( ! [SY859: $i] :
( ~ ( in @ SY859 @ SV238 )
| ( in @ SY859 @ ( sK15_SY573 @ SV154 @ SV52 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV238 )
= $true )
| ( ( in @ SV238 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1367]) ).
thf(1402,plain,
! [SV203: $i,SV52: $i,SV154: $i] :
( ( ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1368]) ).
thf(1403,plain,
! [SV203: $i,SV52: $i,SV154: $i,SV250: $i] :
( ( ( ~ ( in @ SV250 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SV250 @ SV154 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(1404,plain,
! [SV212: $i,SV154: $i,SV52: $i,SV243: $i] :
( ( ( in @ SV243 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( ! [SY861: $i] :
( ~ ( in @ SY861 @ SV243 )
| ( in @ SY861 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
| ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV243 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1370]) ).
thf(1405,plain,
! [SV212: $i,SV52: $i,SV154: $i] :
( ( ( ~ ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1371]) ).
thf(1406,plain,
! [SV212: $i,SV52: $i,SV154: $i] :
( ( ( ! [SY824: $i] :
( ~ ( in @ SY824 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SY824 @ SV154 ) ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1372]) ).
thf(1407,plain,
! [SV52: $i,SV233: $i,SV181: $i,SV192: $i,SV248: $i] :
( ( ( ~ ( in @ SV248 @ SV192 ) )
= $true )
| ( ( in @ SV248 @ SV181 )
= $true )
| ( ( in @ SV233 @ SV192 )
= $true )
| ( ( in @ SV233 @ SV181 )
= $false )
| ( ( in @ SV181 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ SV192 @ ( sK13_B @ SV52 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1373]) ).
thf(1408,plain,
! [SV52: $i,SV205: $i,SV213: $i] :
( ( ( ~ ( in @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) @ ( sK13_B @ SV52 ) ) )
= $false )
| ( ( SV205 = SV213 )
= $true )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( in @ SV213 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1374]) ).
thf(1409,plain,
! [SV52: $i,SV213: $i,SV205: $i] :
( ( ( ~ ~ ( ~ ( ~ ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ~ ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) )
| ~ ( ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) ) ) )
= $false )
| ( ( SV205 = SV213 )
= $true )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( in @ SV213 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1374]) ).
thf(1410,plain,
! [SV53: $i,SV103: $i,SV167: $i > $o,SV155: $i > $o] :
( ( ( ~ ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
= $true )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1375]) ).
thf(1411,plain,
! [SV53: $i,SV103: $i,SV167: $i > $o,SV155: $i > $o] :
( ( ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
| ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
= $true )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1376]) ).
thf(1412,plain,
! [SV206: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) ) )
= $true )
| ( ( SV139 @ ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1377]) ).
thf(1413,plain,
! [SV206: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1378]) ).
thf(1414,plain,
! [SV206: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) ) )
= $false )
| ( ( SV206
= ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1415,plain,
! [SV206: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) )
= $false )
| ( ( SV206
= ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1416,plain,
! [SV156: $i > $o,SV244: $i,SV139: $i > $o] :
( ( ( ~ ( SV139 @ ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
| ~ ( ( SV244
!= ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) ) ) )
= $false )
| ( ( ~ ( SV139 @ SV244 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1380]) ).
thf(1417,plain,
! [SV156: $i > $o,SV234: $i,SV139: $i > $o] :
( ( ( SV139 @ ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $true )
| ( ( ~ ( SV139 @ SV234 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1381]) ).
thf(1418,plain,
! [SV139: $i > $o,SV156: $i > $o,SV234: $i] :
( ( ( SV234
!= ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $true )
| ( ( ~ ( SV139 @ SV234 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1382]) ).
thf(1419,plain,
! [SV207: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) ) )
= $true )
| ( ( SV157 @ ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1383]) ).
thf(1420,plain,
! [SV207: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1384]) ).
thf(1421,plain,
! [SV207: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) ) )
= $false )
| ( ( SV207
= ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1385]) ).
thf(1422,plain,
! [SV207: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) )
= $false )
| ( ( SV207
= ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1385]) ).
thf(1423,plain,
! [SV140: $i > $o,SV245: $i,SV157: $i > $o] :
( ( ( ~ ( SV157 @ ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
| ~ ( ( SV245
!= ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) ) ) )
= $false )
| ( ( ~ ( SV157 @ SV245 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1386]) ).
thf(1424,plain,
! [SV140: $i > $o,SV235: $i,SV157: $i > $o] :
( ( ( SV157 @ ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $true )
| ( ( ~ ( SV157 @ SV235 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1387]) ).
thf(1425,plain,
! [SV140: $i > $o,SV157: $i > $o,SV235: $i] :
( ( ( SV235
!= ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $true )
| ( ( ~ ( SV157 @ SV235 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1388]) ).
thf(1426,plain,
! [SV174: $i,SV107: $i,SV239: $i,SV249: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58 @ SV249 @ SV239 ) )
= $true )
| ( ( ~ ( in @ SV249 @ SV107 ) )
= $true )
| ( ( in @ SV239 @ ( sK8_B @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1389]) ).
thf(1427,plain,
! [SV174: $i,SV107: $i,SV240: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58 @ ( sK9_Xy @ SV240 @ SV107 @ SV58 ) @ SV240 )
| ~ ( in @ ( sK9_Xy @ SV240 @ SV107 @ SV58 ) @ SV107 ) )
= $false )
| ( ( in @ SV240 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1390]) ).
thf(1428,plain,
! [SV174: $i,SV107: $i,SV246: $i,SV251: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58 @ SV251 @ SV246 )
| ~ ( in @ SV251 @ SV107 ) )
= $true )
| ( ( in @ SV246 @ ( sK8_B @ SV107 @ SV58 ) )
= $true )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1391]) ).
thf(1429,plain,
! [SV174: $i,SV58: $i > $i > $o,SV107: $i,SV247: $i] :
( ( ( in @ SV247 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( ~ ( ~ ( SV58 @ ( sK9_Xy @ SV247 @ SV107 @ SV58 ) @ SV247 )
| ~ ( in @ ( sK9_Xy @ SV247 @ SV107 @ SV58 ) @ SV107 ) ) )
= $true )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1430,plain,
! [SV184: $i,SV62: $i > $o,SV237: $i,SV109: $i > $o] :
( ( ( SV109 @ ( sK56_SY261 @ SV237 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV109 @ SV237 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1394]) ).
thf(1431,plain,
! [SV184: $i,SV62: $i > $o,SV109: $i > $o,SV237: $i] :
( ( ( SV237
!= ( sK56_SY261 @ SV237 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV109 @ SV237 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1395]) ).
thf(1432,plain,
! [SV184: $i,SV62: $i > $o,SV242: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK56_SY261 @ SV242 @ SV109 @ SV62 ) ) )
= $false )
| ( ( ~ ( SV109 @ SV242 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV184
= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1396]) ).
thf(1433,plain,
! [SV184: $i,SV62: $i > $o,SV109: $i > $o,SV242: $i] :
( ( ( ~ ( ( SV242
!= ( sK56_SY261 @ SV242 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV109 @ SV242 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV184
= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1396]) ).
thf(1434,plain,
! [SV109: $i > $o,SV231: $i,SV62: $i > $o] :
( ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1397]) ).
thf(1435,plain,
! [SV62: $i > $o,SV109: $i > $o,SV231: $i] :
( ( ( SV231
= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $false )
| ( ( ~ ( SV62 @ SV231 ) )
= $true )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1398]) ).
thf(1436,plain,
! [SV217: $i,SV62: $i > $o,SV252: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SV252 @ SV109 @ SV62 ) )
| ~ ( ( SV252
!= ( sK56_SY261 @ SV252 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SV252 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1399]) ).
thf(1437,plain,
! [SV217: $i,SV62: $i > $o,SV109: $i > $o] :
( ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV217
= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1400]) ).
thf(1438,plain,
! [SV203: $i,SV52: $i,SV154: $i,SV238: $i,SV253: $i] :
( ( ( ~ ( in @ SV253 @ SV238 )
| ( in @ SV253 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
= $true )
| ( ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV238 )
= $true )
| ( ( in @ SV238 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1401]) ).
thf(1439,plain,
! [SV203: $i,SV52: $i,SV154: $i] :
( ( ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1402]) ).
thf(1440,plain,
! [SV203: $i,SV52: $i,SV154: $i] :
( ( ( ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1402]) ).
thf(1441,plain,
! [SV203: $i,SV52: $i,SV154: $i,SV250: $i] :
( ( ( ~ ( in @ SV250 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
= $true )
| ( ( ~ ( in @ SV250 @ SV154 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1403]) ).
thf(1442,plain,
! [SV212: $i,SV52: $i,SV154: $i,SV243: $i] :
( ( ( ! [SY861: $i] :
( ~ ( in @ SY861 @ SV243 )
| ( in @ SY861 @ ( sK15_SY573 @ SV154 @ SV52 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV243 )
= $true )
| ( ( in @ SV243 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1404]) ).
thf(1443,plain,
! [SV212: $i,SV52: $i,SV154: $i] :
( ( ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
| ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1444,plain,
! [SV212: $i,SV52: $i,SV154: $i,SV254: $i] :
( ( ( ~ ( in @ SV254 @ ( sK15_SY573 @ SV154 @ SV52 ) )
| ~ ( in @ SV254 @ SV154 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1406]) ).
thf(1445,plain,
! [SV52: $i,SV233: $i,SV181: $i,SV192: $i,SV248: $i] :
( ( ( in @ SV248 @ SV192 )
= $false )
| ( ( in @ SV248 @ SV181 )
= $true )
| ( ( in @ SV233 @ SV192 )
= $true )
| ( ( in @ SV233 @ SV181 )
= $false )
| ( ( in @ SV181 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ SV192 @ ( sK13_B @ SV52 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1407]) ).
thf(1446,plain,
! [SV52: $i,SV205: $i,SV213: $i] :
( ( ( in @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) @ ( sK13_B @ SV52 ) )
= $true )
| ( ( SV205 = SV213 )
= $true )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( in @ SV213 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1408]) ).
thf(1447,plain,
! [SV52: $i,SV213: $i,SV205: $i] :
( ( ( ~ ( ~ ( ~ ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ~ ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) )
| ~ ( ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) ) ) )
= $true )
| ( ( SV205 = SV213 )
= $true )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( in @ SV213 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1409]) ).
thf(1448,plain,
! [SV53: $i,SV103: $i,SV167: $i > $o,SV155: $i > $o] :
( ( ( ~ ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
= $true )
| ( ( ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
= $true )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1410]) ).
thf(1449,plain,
! [SV53: $i,SV103: $i,SV167: $i > $o,SV155: $i > $o] :
( ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
= $true )
| ( ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) )
= $true )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1411]) ).
thf(1450,plain,
! [SV206: $i,SV139: $i > $o,SV255: $i,SV156: $i > $o] :
( ( ( ~ ( SV156 @ SV255 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SV255 ) )
= $true )
| ( ( SV139 @ ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1412]) ).
thf(1451,plain,
! [SV206: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) ) )
= $true )
| ( ( SV206
= ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1414]) ).
thf(1452,plain,
! [SV206: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) )
= $true )
| ( ( SV206
= ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1415]) ).
thf(1453,plain,
! [SV156: $i > $o,SV244: $i,SV139: $i > $o] :
( ( ( ~ ( SV139 @ ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) ) )
= $false )
| ( ( ~ ( SV139 @ SV244 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1416]) ).
thf(1454,plain,
! [SV139: $i > $o,SV156: $i > $o,SV244: $i] :
( ( ( ~ ( ( SV244
!= ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) ) ) )
= $false )
| ( ( ~ ( SV139 @ SV244 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1416]) ).
thf(1455,plain,
! [SV156: $i > $o,SV234: $i,SV139: $i > $o] :
( ( ( SV139 @ SV234 )
= $false )
| ( ( SV139 @ ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1417]) ).
thf(1456,plain,
! [SV139: $i > $o,SV156: $i > $o,SV234: $i] :
( ( ( SV234
= ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $false )
| ( ( ~ ( SV139 @ SV234 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1418]) ).
thf(1457,plain,
! [SV207: $i,SV157: $i > $o,SV256: $i,SV140: $i > $o] :
( ( ( ~ ( SV140 @ SV256 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SV256 ) )
= $true )
| ( ( SV157 @ ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1419]) ).
thf(1458,plain,
! [SV207: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) ) )
= $true )
| ( ( SV207
= ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1421]) ).
thf(1459,plain,
! [SV207: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) )
= $true )
| ( ( SV207
= ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1422]) ).
thf(1460,plain,
! [SV140: $i > $o,SV245: $i,SV157: $i > $o] :
( ( ( ~ ( SV157 @ ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) ) )
= $false )
| ( ( ~ ( SV157 @ SV245 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1423]) ).
thf(1461,plain,
! [SV140: $i > $o,SV157: $i > $o,SV245: $i] :
( ( ( ~ ( ( SV245
!= ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) ) ) )
= $false )
| ( ( ~ ( SV157 @ SV245 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1423]) ).
thf(1462,plain,
! [SV140: $i > $o,SV235: $i,SV157: $i > $o] :
( ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1424]) ).
thf(1463,plain,
! [SV140: $i > $o,SV157: $i > $o,SV235: $i] :
( ( ( SV235
= ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $false )
| ( ( ~ ( SV157 @ SV235 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1425]) ).
thf(1464,plain,
! [SV174: $i,SV107: $i,SV239: $i,SV249: $i,SV58: $i > $i > $o] :
( ( ( SV58 @ SV249 @ SV239 )
= $false )
| ( ( ~ ( in @ SV249 @ SV107 ) )
= $true )
| ( ( in @ SV239 @ ( sK8_B @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1465,plain,
! [SV174: $i,SV107: $i,SV240: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58 @ ( sK9_Xy @ SV240 @ SV107 @ SV58 ) @ SV240 ) )
= $false )
| ( ( in @ SV240 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1466,plain,
! [SV174: $i,SV58: $i > $i > $o,SV107: $i,SV240: $i] :
( ( ( ~ ( in @ ( sK9_Xy @ SV240 @ SV107 @ SV58 ) @ SV107 ) )
= $false )
| ( ( in @ SV240 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1467,plain,
! [SV174: $i,SV107: $i,SV246: $i,SV251: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58 @ SV251 @ SV246 ) )
= $true )
| ( ( ~ ( in @ SV251 @ SV107 ) )
= $true )
| ( ( in @ SV246 @ ( sK8_B @ SV107 @ SV58 ) )
= $true )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1428]) ).
thf(1468,plain,
! [SV174: $i,SV107: $i,SV247: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58 @ ( sK9_Xy @ SV247 @ SV107 @ SV58 ) @ SV247 )
| ~ ( in @ ( sK9_Xy @ SV247 @ SV107 @ SV58 ) @ SV107 ) )
= $false )
| ( ( in @ SV247 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1429]) ).
thf(1469,plain,
! [SV184: $i,SV62: $i > $o,SV237: $i,SV109: $i > $o] :
( ( ( SV109 @ SV237 )
= $false )
| ( ( SV109 @ ( sK56_SY261 @ SV237 @ SV109 @ SV62 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1470,plain,
! [SV184: $i,SV62: $i > $o,SV109: $i > $o,SV237: $i] :
( ( ( SV237
= ( sK56_SY261 @ SV237 @ SV109 @ SV62 ) )
= $false )
| ( ( ~ ( SV109 @ SV237 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1471,plain,
! [SV184: $i,SV62: $i > $o,SV242: $i,SV109: $i > $o] :
( ( ( SV109 @ ( sK56_SY261 @ SV242 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV109 @ SV242 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV184
= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1432]) ).
thf(1472,plain,
! [SV184: $i,SV62: $i > $o,SV109: $i > $o,SV242: $i] :
( ( ( SV242
!= ( sK56_SY261 @ SV242 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV109 @ SV242 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV184
= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1473,plain,
! [SV231: $i,SV62: $i > $o,SV109: $i > $o] :
( ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1434]) ).
thf(1474,plain,
! [SV109: $i > $o,SV231: $i,SV62: $i > $o] :
( ( ( SV62 @ SV231 )
= $false )
| ( ( SV231
= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $false )
| ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) )
| ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1435]) ).
thf(1475,plain,
! [SV217: $i,SV62: $i > $o,SV252: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SV252 @ SV109 @ SV62 ) )
| ~ ( ( SV252
!= ( sK56_SY261 @ SV252 @ SV109 @ SV62 ) ) ) ) )
= $true )
| ( ( ~ ( SV109 @ SV252 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1436]) ).
thf(1476,plain,
! [SV217: $i,SV62: $i > $o,SV257: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SV257 @ SV109 @ SV62 ) )
| ~ ( ( SV257
!= ( sK56_SY261 @ SV257 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SV257 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV217
= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1437]) ).
thf(1477,plain,
! [SV203: $i,SV52: $i,SV154: $i,SV238: $i,SV253: $i] :
( ( ( ~ ( in @ SV253 @ SV238 ) )
= $true )
| ( ( in @ SV253 @ ( sK15_SY573 @ SV154 @ SV52 ) )
= $true )
| ( ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV238 )
= $true )
| ( ( in @ SV238 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1438]) ).
thf(1478,plain,
! [SV203: $i,SV52: $i,SV154: $i] :
( ( ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1439]) ).
thf(1479,plain,
! [SV203: $i,SV52: $i,SV154: $i] :
( ( ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1440]) ).
thf(1480,plain,
! [SV203: $i,SV52: $i,SV154: $i,SV250: $i] :
( ( ( in @ SV250 @ ( sK15_SY573 @ SV154 @ SV52 ) )
= $false )
| ( ( ~ ( in @ SV250 @ SV154 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1481,plain,
! [SV212: $i,SV52: $i,SV154: $i,SV243: $i,SV258: $i] :
( ( ( ~ ( in @ SV258 @ SV243 )
| ( in @ SV258 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
= $true )
| ( ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV243 )
= $true )
| ( ( in @ SV243 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1442]) ).
thf(1482,plain,
! [SV212: $i,SV52: $i,SV154: $i] :
( ( ( ~ ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1443]) ).
thf(1483,plain,
! [SV212: $i,SV52: $i,SV154: $i] :
( ( ( ~ ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1443]) ).
thf(1484,plain,
! [SV212: $i,SV52: $i,SV154: $i,SV254: $i] :
( ( ( ~ ( in @ SV254 @ ( sK15_SY573 @ SV154 @ SV52 ) ) )
= $true )
| ( ( ~ ( in @ SV254 @ SV154 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1444]) ).
thf(1485,plain,
! [SV52: $i,SV213: $i,SV205: $i] :
( ( ( ~ ( ~ ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ~ ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) )
| ~ ( ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) ) )
= $false )
| ( ( SV205 = SV213 )
= $true )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( in @ SV213 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1486,plain,
! [SV53: $i,SV103: $i,SV167: $i > $o,SV155: $i > $o] :
( ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
= $false )
| ( ( ~ ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) ) )
= $true )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1487,plain,
! [SV206: $i,SV139: $i > $o,SV255: $i,SV156: $i > $o] :
( ( ( ~ ( SV156 @ SV255 ) )
= $true )
| ( ( ( sK51_SY236 @ SV156 @ SV139 )
= SV255 )
= $true )
| ( ( SV139 @ ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1450]) ).
thf(1488,plain,
! [SV206: $i,SV139: $i > $o,SV259: $i,SV156: $i > $o] :
( ( ( ~ ( SV156 @ SV259 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SV259 ) )
= $true )
| ( ( SV206
= ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1451]) ).
thf(1489,plain,
! [SV156: $i > $o,SV244: $i,SV139: $i > $o] :
( ( ( SV139 @ ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $true )
| ( ( ~ ( SV139 @ SV244 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1453]) ).
thf(1490,plain,
! [SV139: $i > $o,SV156: $i > $o,SV244: $i] :
( ( ( SV244
!= ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $true )
| ( ( ~ ( SV139 @ SV244 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1454]) ).
thf(1491,plain,
! [SV234: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) )
= $false )
| ( ( SV139 @ ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1455]) ).
thf(1492,plain,
! [SV156: $i > $o,SV234: $i,SV139: $i > $o] :
( ( ( SV139 @ SV234 )
= $false )
| ( ( SV234
= ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $false )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1493,plain,
! [SV207: $i,SV157: $i > $o,SV256: $i,SV140: $i > $o] :
( ( ( ~ ( SV140 @ SV256 ) )
= $true )
| ( ( ( sK47_SY233 @ SV157 @ SV140 )
= SV256 )
= $true )
| ( ( SV157 @ ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1457]) ).
thf(1494,plain,
! [SV207: $i,SV157: $i > $o,SV260: $i,SV140: $i > $o] :
( ( ( ~ ( SV140 @ SV260 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SV260 ) )
= $true )
| ( ( SV207
= ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1458]) ).
thf(1495,plain,
! [SV140: $i > $o,SV245: $i,SV157: $i > $o] :
( ( ( SV157 @ ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $true )
| ( ( ~ ( SV157 @ SV245 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1460]) ).
thf(1496,plain,
! [SV140: $i > $o,SV157: $i > $o,SV245: $i] :
( ( ( SV245
!= ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $true )
| ( ( ~ ( SV157 @ SV245 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1461]) ).
thf(1497,plain,
! [SV235: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) )
= $false )
| ( ( SV157 @ ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1462]) ).
thf(1498,plain,
! [SV140: $i > $o,SV235: $i,SV157: $i > $o] :
( ( ( SV157 @ SV235 )
= $false )
| ( ( SV235
= ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $false )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1463]) ).
thf(1499,plain,
! [SV174: $i,SV239: $i,SV58: $i > $i > $o,SV107: $i,SV249: $i] :
( ( ( in @ SV249 @ SV107 )
= $false )
| ( ( SV58 @ SV249 @ SV239 )
= $false )
| ( ( in @ SV239 @ ( sK8_B @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1464]) ).
thf(1500,plain,
! [SV174: $i,SV107: $i,SV240: $i,SV58: $i > $i > $o] :
( ( ( SV58 @ ( sK9_Xy @ SV240 @ SV107 @ SV58 ) @ SV240 )
= $true )
| ( ( in @ SV240 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1465]) ).
thf(1501,plain,
! [SV174: $i,SV58: $i > $i > $o,SV107: $i,SV240: $i] :
( ( ( in @ ( sK9_Xy @ SV240 @ SV107 @ SV58 ) @ SV107 )
= $true )
| ( ( in @ SV240 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1466]) ).
thf(1502,plain,
! [SV174: $i,SV107: $i,SV246: $i,SV251: $i,SV58: $i > $i > $o] :
( ( ( SV58 @ SV251 @ SV246 )
= $false )
| ( ( ~ ( in @ SV251 @ SV107 ) )
= $true )
| ( ( in @ SV246 @ ( sK8_B @ SV107 @ SV58 ) )
= $true )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1467]) ).
thf(1503,plain,
! [SV174: $i,SV107: $i,SV247: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58 @ ( sK9_Xy @ SV247 @ SV107 @ SV58 ) @ SV247 ) )
= $false )
| ( ( in @ SV247 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1468]) ).
thf(1504,plain,
! [SV174: $i,SV58: $i > $i > $o,SV107: $i,SV247: $i] :
( ( ( ~ ( in @ ( sK9_Xy @ SV247 @ SV107 @ SV58 ) @ SV107 ) )
= $false )
| ( ( in @ SV247 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1468]) ).
thf(1505,plain,
! [SV184: $i,SV62: $i > $o,SV237: $i,SV109: $i > $o] :
( ( ( SV109 @ SV237 )
= $false )
| ( ( SV237
= ( sK56_SY261 @ SV237 @ SV109 @ SV62 ) )
= $false )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1470]) ).
thf(1506,plain,
! [SV184: $i,SV62: $i > $o,SV242: $i,SV109: $i > $o] :
( ( ( SV109 @ SV242 )
= $false )
| ( ( SV109 @ ( sK56_SY261 @ SV242 @ SV109 @ SV62 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV184
= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1471]) ).
thf(1507,plain,
! [SV184: $i,SV62: $i > $o,SV109: $i > $o,SV242: $i] :
( ( ( SV242
= ( sK56_SY261 @ SV242 @ SV109 @ SV62 ) )
= $false )
| ( ( ~ ( SV109 @ SV242 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV184
= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1472]) ).
thf(1508,plain,
! [SV231: $i,SV62: $i > $o,SV261: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SV261 @ SV109 @ SV62 ) )
| ~ ( ( SV261
!= ( sK56_SY261 @ SV261 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SV261 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1473]) ).
thf(1509,plain,
! [SV231: $i,SV62: $i > $o,SV109: $i > $o] :
( ( ( ! [SY789: $i] :
( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) )
| ~ ( ( SY789
!= ( sK56_SY261 @ SY789 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SY789 ) ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV231
= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1474]) ).
thf(1510,plain,
! [SV217: $i,SV62: $i > $o,SV252: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK56_SY261 @ SV252 @ SV109 @ SV62 ) )
| ~ ( ( SV252
!= ( sK56_SY261 @ SV252 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV109 @ SV252 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1475]) ).
thf(1511,plain,
! [SV217: $i,SV62: $i > $o,SV257: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SV257 @ SV109 @ SV62 ) )
| ~ ( ( SV257
!= ( sK56_SY261 @ SV257 @ SV109 @ SV62 ) ) ) ) )
= $true )
| ( ( ~ ( SV109 @ SV257 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV217
= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1476]) ).
thf(1512,plain,
! [SV203: $i,SV52: $i,SV154: $i,SV238: $i,SV253: $i] :
( ( ( in @ SV253 @ SV238 )
= $false )
| ( ( in @ SV253 @ ( sK15_SY573 @ SV154 @ SV52 ) )
= $true )
| ( ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV238 )
= $true )
| ( ( in @ SV238 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1477]) ).
thf(1513,plain,
! [SV203: $i,SV52: $i,SV154: $i,SV250: $i] :
( ( ( in @ SV250 @ SV154 )
= $false )
| ( ( in @ SV250 @ ( sK15_SY573 @ SV154 @ SV52 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ SV203 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1514,plain,
! [SV212: $i,SV52: $i,SV154: $i,SV243: $i,SV258: $i] :
( ( ( ~ ( in @ SV258 @ SV243 ) )
= $true )
| ( ( in @ SV258 @ ( sK15_SY573 @ SV154 @ SV52 ) )
= $true )
| ( ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV243 )
= $true )
| ( ( in @ SV243 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1481]) ).
thf(1515,plain,
! [SV212: $i,SV52: $i,SV154: $i] :
( ( ( in @ ( sK15_SY573 @ SV154 @ SV52 ) @ ( sK13_B @ SV52 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1482]) ).
thf(1516,plain,
! [SV212: $i,SV52: $i,SV154: $i] :
( ( ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV154 )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1483]) ).
thf(1517,plain,
! [SV212: $i,SV52: $i,SV154: $i,SV254: $i] :
( ( ( in @ SV254 @ ( sK15_SY573 @ SV154 @ SV52 ) )
= $false )
| ( ( ~ ( in @ SV254 @ SV154 ) )
= $true )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1484]) ).
thf(1518,plain,
! [SV52: $i,SV213: $i,SV205: $i] :
( ( ( ~ ( ~ ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ~ ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) ) )
= $false )
| ( ( SV205 = SV213 )
= $true )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( in @ SV213 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1485]) ).
thf(1519,plain,
! [SV52: $i,SV213: $i,SV205: $i] :
( ( ( ~ ( ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) ) )
= $false )
| ( ( SV205 = SV213 )
= $true )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( in @ SV213 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1485]) ).
thf(1520,plain,
! [SV53: $i,SV103: $i,SV155: $i > $o,SV167: $i > $o] :
( ( ( SV167 @ ( sK61_SY606 @ SV167 @ SV155 @ SV103 @ SV53 ) )
= $false )
| ( ( SV155 @ ( sK60_Xx @ SV167 @ SV155 @ SV103 @ SV53 ) )
= $false )
| ( ( ( dsetconstr @ SV53
@ ^ [SY826: $i] : ( SV155 @ SY826 ) )
= ( dsetconstr @ SV103
@ ^ [SY840: $i] : ( SV167 @ SY840 ) ) )
= $true )
| ( ( SV53 = SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1486]) ).
thf(1521,plain,
! [SV206: $i,SV139: $i > $o,SV255: $i,SV156: $i > $o] :
( ( ( SV156 @ SV255 )
= $false )
| ( ( ( sK51_SY236 @ SV156 @ SV139 )
= SV255 )
= $true )
| ( ( SV139 @ ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1522,plain,
! [SV206: $i,SV139: $i > $o,SV259: $i,SV156: $i > $o] :
( ( ( ~ ( SV156 @ SV259 ) )
= $true )
| ( ( ( sK51_SY236 @ SV156 @ SV139 )
= SV259 )
= $true )
| ( ( SV206
= ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1488]) ).
thf(1523,plain,
! [SV156: $i > $o,SV244: $i,SV139: $i > $o] :
( ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1489]) ).
thf(1524,plain,
! [SV139: $i > $o,SV156: $i > $o,SV244: $i] :
( ( ( SV244
= ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $false )
| ( ( ~ ( SV139 @ SV244 ) )
= $true )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1490]) ).
thf(1525,plain,
! [SV234: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) ) )
= $false )
| ( ( SV139 @ ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1491]) ).
thf(1526,plain,
! [SV234: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) )
= $false )
| ( ( SV139 @ ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1491]) ).
thf(1527,plain,
! [SV234: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) )
= $false )
| ( ( SV234
= ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1492]) ).
thf(1528,plain,
! [SV207: $i,SV157: $i > $o,SV256: $i,SV140: $i > $o] :
( ( ( SV140 @ SV256 )
= $false )
| ( ( ( sK47_SY233 @ SV157 @ SV140 )
= SV256 )
= $true )
| ( ( SV157 @ ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1529,plain,
! [SV207: $i,SV157: $i > $o,SV260: $i,SV140: $i > $o] :
( ( ( ~ ( SV140 @ SV260 ) )
= $true )
| ( ( ( sK47_SY233 @ SV157 @ SV140 )
= SV260 )
= $true )
| ( ( SV207
= ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1494]) ).
thf(1530,plain,
! [SV140: $i > $o,SV245: $i,SV157: $i > $o] :
( ( ( SV157 @ SV245 )
= $false )
| ( ( SV157 @ ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1495]) ).
thf(1531,plain,
! [SV140: $i > $o,SV157: $i > $o,SV245: $i] :
( ( ( SV245
= ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $false )
| ( ( ~ ( SV157 @ SV245 ) )
= $true )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1532,plain,
! [SV235: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) ) )
= $false )
| ( ( SV157 @ ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1497]) ).
thf(1533,plain,
! [SV235: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) )
= $false )
| ( ( SV157 @ ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1497]) ).
thf(1534,plain,
! [SV235: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) )
= $false )
| ( ( SV235
= ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1498]) ).
thf(1535,plain,
! [SV174: $i,SV246: $i,SV58: $i > $i > $o,SV107: $i,SV251: $i] :
( ( ( in @ SV251 @ SV107 )
= $false )
| ( ( SV58 @ SV251 @ SV246 )
= $false )
| ( ( in @ SV246 @ ( sK8_B @ SV107 @ SV58 ) )
= $true )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1502]) ).
thf(1536,plain,
! [SV174: $i,SV107: $i,SV247: $i,SV58: $i > $i > $o] :
( ( ( SV58 @ ( sK9_Xy @ SV247 @ SV107 @ SV58 ) @ SV247 )
= $true )
| ( ( in @ SV247 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1503]) ).
thf(1537,plain,
! [SV174: $i,SV58: $i > $i > $o,SV107: $i,SV247: $i] :
( ( ( in @ ( sK9_Xy @ SV247 @ SV107 @ SV58 ) @ SV107 )
= $true )
| ( ( in @ SV247 @ ( sK8_B @ SV107 @ SV58 ) )
= $false )
| ( ( SV174
= ( sK11_SY568 @ SV174 @ SV107 @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK10_SY25 @ SV107 @ SV58 ) @ SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1504]) ).
thf(1538,plain,
! [SV184: $i,SV62: $i > $o,SV242: $i,SV109: $i > $o] :
( ( ( SV109 @ SV242 )
= $false )
| ( ( SV242
= ( sK56_SY261 @ SV242 @ SV109 @ SV62 ) )
= $false )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV184
= ( sK57_SY258 @ SV184 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV184 )
= $false )
| ( ( ( sK58_Xx @ SV109 @ SV62 )
= ( sK59_SY605 @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1507]) ).
thf(1539,plain,
! [SV231: $i,SV62: $i > $o,SV261: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SV261 @ SV109 @ SV62 ) )
| ~ ( ( SV261
!= ( sK56_SY261 @ SV261 @ SV109 @ SV62 ) ) ) ) )
= $true )
| ( ( ~ ( SV109 @ SV261 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1508]) ).
thf(1540,plain,
! [SV231: $i,SV62: $i > $o,SV262: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SV262 @ SV109 @ SV62 ) )
| ~ ( ( SV262
!= ( sK56_SY261 @ SV262 @ SV109 @ SV62 ) ) ) )
| ~ ( SV109 @ SV262 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV231
= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1509]) ).
thf(1541,plain,
! [SV217: $i,SV62: $i > $o,SV252: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK56_SY261 @ SV252 @ SV109 @ SV62 ) ) )
= $false )
| ( ( ~ ( SV109 @ SV252 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1542,plain,
! [SV217: $i,SV62: $i > $o,SV109: $i > $o,SV252: $i] :
( ( ( ~ ( ( SV252
!= ( sK56_SY261 @ SV252 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV109 @ SV252 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1543,plain,
! [SV217: $i,SV62: $i > $o,SV257: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK56_SY261 @ SV257 @ SV109 @ SV62 ) )
| ~ ( ( SV257
!= ( sK56_SY261 @ SV257 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV109 @ SV257 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV217
= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1544,plain,
! [SV212: $i,SV52: $i,SV154: $i,SV243: $i,SV258: $i] :
( ( ( in @ SV258 @ SV243 )
= $false )
| ( ( in @ SV258 @ ( sK15_SY573 @ SV154 @ SV52 ) )
= $true )
| ( ( in @ ( sK16_SY587 @ SV154 @ SV52 ) @ SV243 )
= $true )
| ( ( in @ SV243 @ ( sK13_B @ SV52 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1514]) ).
thf(1545,plain,
! [SV212: $i,SV52: $i,SV154: $i,SV254: $i] :
( ( ( in @ SV254 @ SV154 )
= $false )
| ( ( in @ SV254 @ ( sK15_SY573 @ SV154 @ SV52 ) )
= $false )
| ( ( in @ ( sK17_Xx @ SV154 @ SV52 ) @ SV52 )
= $false )
| ( ( in @ SV212 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1517]) ).
thf(1546,plain,
! [SV52: $i,SV213: $i,SV205: $i] :
( ( ( ~ ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ~ ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) )
= $true )
| ( ( SV205 = SV213 )
= $true )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( in @ SV213 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1518]) ).
thf(1547,plain,
! [SV52: $i,SV213: $i,SV205: $i] :
( ( ( ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
| ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) )
= $true )
| ( ( SV205 = SV213 )
= $true )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( in @ SV213 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1519]) ).
thf(1548,plain,
! [SV206: $i,SV139: $i > $o,SV259: $i,SV156: $i > $o] :
( ( ( SV156 @ SV259 )
= $false )
| ( ( ( sK51_SY236 @ SV156 @ SV139 )
= SV259 )
= $true )
| ( ( SV206
= ( sK52_SY234 @ SV206 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV206 )
= $false )
| ( ( ( sK53_Xx @ SV156 @ SV139 )
= ( sK54_SY604 @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1522]) ).
thf(1549,plain,
! [SV244: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) )
= $false )
| ( ( SV139 @ ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1523]) ).
thf(1550,plain,
! [SV156: $i > $o,SV244: $i,SV139: $i > $o] :
( ( ( SV139 @ SV244 )
= $false )
| ( ( SV244
= ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $false )
| ( ( ~ ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1524]) ).
thf(1551,plain,
! [SV234: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) ) )
= $true )
| ( ( SV139 @ ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1525]) ).
thf(1552,plain,
! [SV234: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1526]) ).
thf(1553,plain,
! [SV234: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) ) )
= $false )
| ( ( SV234
= ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1527]) ).
thf(1554,plain,
! [SV234: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) )
= $false )
| ( ( SV234
= ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1527]) ).
thf(1555,plain,
! [SV207: $i,SV157: $i > $o,SV260: $i,SV140: $i > $o] :
( ( ( SV140 @ SV260 )
= $false )
| ( ( ( sK47_SY233 @ SV157 @ SV140 )
= SV260 )
= $true )
| ( ( SV207
= ( sK48_SY237 @ SV207 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV207 )
= $false )
| ( ( ( sK49_Xx @ SV157 @ SV140 )
= ( sK50_SY602 @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1529]) ).
thf(1556,plain,
! [SV245: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) )
= $false )
| ( ( SV157 @ ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1530]) ).
thf(1557,plain,
! [SV140: $i > $o,SV245: $i,SV157: $i > $o] :
( ( ( SV157 @ SV245 )
= $false )
| ( ( SV245
= ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $false )
| ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1531]) ).
thf(1558,plain,
! [SV235: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) ) )
= $true )
| ( ( SV157 @ ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1532]) ).
thf(1559,plain,
! [SV235: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1533]) ).
thf(1560,plain,
! [SV235: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) ) )
= $false )
| ( ( SV235
= ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1561,plain,
! [SV235: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) )
= $false )
| ( ( SV235
= ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1562,plain,
! [SV231: $i,SV62: $i > $o,SV261: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK56_SY261 @ SV261 @ SV109 @ SV62 ) )
| ~ ( ( SV261
!= ( sK56_SY261 @ SV261 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV109 @ SV261 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1539]) ).
thf(1563,plain,
! [SV231: $i,SV62: $i > $o,SV262: $i,SV109: $i > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK56_SY261 @ SV262 @ SV109 @ SV62 ) )
| ~ ( ( SV262
!= ( sK56_SY261 @ SV262 @ SV109 @ SV62 ) ) ) ) )
= $true )
| ( ( ~ ( SV109 @ SV262 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV231
= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1540]) ).
thf(1564,plain,
! [SV217: $i,SV62: $i > $o,SV252: $i,SV109: $i > $o] :
( ( ( SV109 @ ( sK56_SY261 @ SV252 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV109 @ SV252 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1541]) ).
thf(1565,plain,
! [SV217: $i,SV62: $i > $o,SV109: $i > $o,SV252: $i] :
( ( ( SV252
!= ( sK56_SY261 @ SV252 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV109 @ SV252 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1566,plain,
! [SV217: $i,SV62: $i > $o,SV257: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK56_SY261 @ SV257 @ SV109 @ SV62 ) ) )
= $false )
| ( ( ~ ( SV109 @ SV257 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV217
= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1543]) ).
thf(1567,plain,
! [SV217: $i,SV62: $i > $o,SV109: $i > $o,SV257: $i] :
( ( ( ~ ( ( SV257
!= ( sK56_SY261 @ SV257 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV109 @ SV257 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV217
= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1543]) ).
thf(1568,plain,
! [SV52: $i,SV213: $i,SV205: $i] :
( ( ( ~ ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) )
= $true )
| ( ( ~ ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) )
= $true )
| ( ( SV205 = SV213 )
= $true )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( in @ SV213 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1546]) ).
thf(1569,plain,
! [SV52: $i,SV213: $i,SV205: $i] :
( ( ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
= $true )
| ( ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
= $true )
| ( ( SV205 = SV213 )
= $true )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( in @ SV213 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1547]) ).
thf(1570,plain,
! [SV244: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) ) )
= $false )
| ( ( SV139 @ ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1549]) ).
thf(1571,plain,
! [SV244: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) )
= $false )
| ( ( SV139 @ ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1549]) ).
thf(1572,plain,
! [SV244: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) )
| ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) )
= $false )
| ( ( SV244
= ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1573,plain,
! [SV234: $i,SV139: $i > $o,SV263: $i,SV156: $i > $o] :
( ( ( ~ ( SV156 @ SV263 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SV263 ) )
= $true )
| ( ( SV139 @ ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1551]) ).
thf(1574,plain,
! [SV234: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) ) )
= $true )
| ( ( SV234
= ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1553]) ).
thf(1575,plain,
! [SV234: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) )
= $true )
| ( ( SV234
= ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1554]) ).
thf(1576,plain,
! [SV245: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) ) )
= $false )
| ( ( SV157 @ ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1556]) ).
thf(1577,plain,
! [SV245: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) )
= $false )
| ( ( SV157 @ ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1556]) ).
thf(1578,plain,
! [SV245: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) )
| ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) )
= $false )
| ( ( SV245
= ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1557]) ).
thf(1579,plain,
! [SV235: $i,SV157: $i > $o,SV264: $i,SV140: $i > $o] :
( ( ( ~ ( SV140 @ SV264 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SV264 ) )
= $true )
| ( ( SV157 @ ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1558]) ).
thf(1580,plain,
! [SV235: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) ) )
= $true )
| ( ( SV235
= ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1560]) ).
thf(1581,plain,
! [SV235: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) )
= $true )
| ( ( SV235
= ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1561]) ).
thf(1582,plain,
! [SV231: $i,SV62: $i > $o,SV261: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK56_SY261 @ SV261 @ SV109 @ SV62 ) ) )
= $false )
| ( ( ~ ( SV109 @ SV261 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1562]) ).
thf(1583,plain,
! [SV231: $i,SV62: $i > $o,SV109: $i > $o,SV261: $i] :
( ( ( ~ ( ( SV261
!= ( sK56_SY261 @ SV261 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV109 @ SV261 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1562]) ).
thf(1584,plain,
! [SV231: $i,SV62: $i > $o,SV262: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK56_SY261 @ SV262 @ SV109 @ SV62 ) )
| ~ ( ( SV262
!= ( sK56_SY261 @ SV262 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV109 @ SV262 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV231
= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1563]) ).
thf(1585,plain,
! [SV217: $i,SV62: $i > $o,SV252: $i,SV109: $i > $o] :
( ( ( SV109 @ SV252 )
= $false )
| ( ( SV109 @ ( sK56_SY261 @ SV252 @ SV109 @ SV62 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1586,plain,
! [SV217: $i,SV62: $i > $o,SV109: $i > $o,SV252: $i] :
( ( ( SV252
= ( sK56_SY261 @ SV252 @ SV109 @ SV62 ) )
= $false )
| ( ( ~ ( SV109 @ SV252 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1565]) ).
thf(1587,plain,
! [SV217: $i,SV62: $i > $o,SV257: $i,SV109: $i > $o] :
( ( ( SV109 @ ( sK56_SY261 @ SV257 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV109 @ SV257 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV217
= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1566]) ).
thf(1588,plain,
! [SV217: $i,SV62: $i > $o,SV109: $i > $o,SV257: $i] :
( ( ( SV257
!= ( sK56_SY261 @ SV257 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV109 @ SV257 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV217
= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1567]) ).
thf(1589,plain,
! [SV52: $i,SV213: $i,SV205: $i] :
( ( ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
= $false )
| ( ( ~ ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) ) )
= $true )
| ( ( SV205 = SV213 )
= $true )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( in @ SV213 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1590,plain,
! [SV244: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) ) )
= $true )
| ( ( SV139 @ ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1570]) ).
thf(1591,plain,
! [SV244: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1571]) ).
thf(1592,plain,
! [SV244: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) ) )
= $false )
| ( ( SV244
= ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1572]) ).
thf(1593,plain,
! [SV244: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ~ ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) ) )
= $false )
| ( ( SV244
= ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1572]) ).
thf(1594,plain,
! [SV234: $i,SV139: $i > $o,SV263: $i,SV156: $i > $o] :
( ( ( ~ ( SV156 @ SV263 ) )
= $true )
| ( ( ( sK51_SY236 @ SV156 @ SV139 )
= SV263 )
= $true )
| ( ( SV139 @ ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1573]) ).
thf(1595,plain,
! [SV234: $i,SV139: $i > $o,SV265: $i,SV156: $i > $o] :
( ( ( ~ ( SV156 @ SV265 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SV265 ) )
= $true )
| ( ( SV234
= ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1574]) ).
thf(1596,plain,
! [SV245: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) ) )
= $true )
| ( ( SV157 @ ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1576]) ).
thf(1597,plain,
! [SV245: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1577]) ).
thf(1598,plain,
! [SV245: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) ) )
= $false )
| ( ( SV245
= ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1578]) ).
thf(1599,plain,
! [SV245: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ~ ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) ) )
= $false )
| ( ( SV245
= ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1578]) ).
thf(1600,plain,
! [SV235: $i,SV157: $i > $o,SV264: $i,SV140: $i > $o] :
( ( ( ~ ( SV140 @ SV264 ) )
= $true )
| ( ( ( sK47_SY233 @ SV157 @ SV140 )
= SV264 )
= $true )
| ( ( SV157 @ ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1579]) ).
thf(1601,plain,
! [SV235: $i,SV157: $i > $o,SV266: $i,SV140: $i > $o] :
( ( ( ~ ( SV140 @ SV266 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SV266 ) )
= $true )
| ( ( SV235
= ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1580]) ).
thf(1602,plain,
! [SV231: $i,SV62: $i > $o,SV261: $i,SV109: $i > $o] :
( ( ( SV109 @ ( sK56_SY261 @ SV261 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV109 @ SV261 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1582]) ).
thf(1603,plain,
! [SV231: $i,SV62: $i > $o,SV109: $i > $o,SV261: $i] :
( ( ( SV261
!= ( sK56_SY261 @ SV261 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV109 @ SV261 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1583]) ).
thf(1604,plain,
! [SV231: $i,SV62: $i > $o,SV262: $i,SV109: $i > $o] :
( ( ( ~ ( SV109 @ ( sK56_SY261 @ SV262 @ SV109 @ SV62 ) ) )
= $false )
| ( ( ~ ( SV109 @ SV262 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV231
= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1584]) ).
thf(1605,plain,
! [SV231: $i,SV62: $i > $o,SV109: $i > $o,SV262: $i] :
( ( ( ~ ( ( SV262
!= ( sK56_SY261 @ SV262 @ SV109 @ SV62 ) ) ) )
= $false )
| ( ( ~ ( SV109 @ SV262 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV231
= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1584]) ).
thf(1606,plain,
! [SV217: $i,SV62: $i > $o,SV252: $i,SV109: $i > $o] :
( ( ( SV109 @ SV252 )
= $false )
| ( ( SV252
= ( sK56_SY261 @ SV252 @ SV109 @ SV62 ) )
= $false )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1586]) ).
thf(1607,plain,
! [SV217: $i,SV62: $i > $o,SV257: $i,SV109: $i > $o] :
( ( ( SV109 @ SV257 )
= $false )
| ( ( SV109 @ ( sK56_SY261 @ SV257 @ SV109 @ SV62 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV217
= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1587]) ).
thf(1608,plain,
! [SV217: $i,SV62: $i > $o,SV109: $i > $o,SV257: $i] :
( ( ( SV257
= ( sK56_SY261 @ SV257 @ SV109 @ SV62 ) )
= $false )
| ( ( ~ ( SV109 @ SV257 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV217
= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1588]) ).
thf(1609,plain,
! [SV52: $i,SV205: $i,SV213: $i] :
( ( ( in @ SV213 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
= $false )
| ( ( in @ SV205 @ ( sK14_SY586 @ SV213 @ SV205 @ SV52 ) )
= $false )
| ( ( SV205 = SV213 )
= $true )
| ( ( in @ SV205 @ SV52 )
= $false )
| ( ( in @ SV213 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1589]) ).
thf(1610,plain,
! [SV244: $i,SV139: $i > $o,SV267: $i,SV156: $i > $o] :
( ( ( ~ ( SV156 @ SV267 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SV267 ) )
= $true )
| ( ( SV139 @ ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1590]) ).
thf(1611,plain,
! [SV244: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( ! [SY829: $i] :
( ~ ( SV156 @ SY829 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SY829 ) ) )
= $true )
| ( ( SV244
= ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1592]) ).
thf(1612,plain,
! [SV244: $i,SV139: $i > $o,SV156: $i > $o] :
( ( ( SV156 @ ( sK51_SY236 @ SV156 @ SV139 ) )
= $true )
| ( ( SV244
= ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1593]) ).
thf(1613,plain,
! [SV234: $i,SV139: $i > $o,SV263: $i,SV156: $i > $o] :
( ( ( SV156 @ SV263 )
= $false )
| ( ( ( sK51_SY236 @ SV156 @ SV139 )
= SV263 )
= $true )
| ( ( SV139 @ ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1594]) ).
thf(1614,plain,
! [SV234: $i,SV139: $i > $o,SV265: $i,SV156: $i > $o] :
( ( ( ~ ( SV156 @ SV265 ) )
= $true )
| ( ( ( sK51_SY236 @ SV156 @ SV139 )
= SV265 )
= $true )
| ( ( SV234
= ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1595]) ).
thf(1615,plain,
! [SV245: $i,SV157: $i > $o,SV268: $i,SV140: $i > $o] :
( ( ( ~ ( SV140 @ SV268 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SV268 ) )
= $true )
| ( ( SV157 @ ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1596]) ).
thf(1616,plain,
! [SV245: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( ! [SY831: $i] :
( ~ ( SV140 @ SY831 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SY831 ) ) )
= $true )
| ( ( SV245
= ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1598]) ).
thf(1617,plain,
! [SV245: $i,SV157: $i > $o,SV140: $i > $o] :
( ( ( SV140 @ ( sK47_SY233 @ SV157 @ SV140 ) )
= $true )
| ( ( SV245
= ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1599]) ).
thf(1618,plain,
! [SV235: $i,SV157: $i > $o,SV264: $i,SV140: $i > $o] :
( ( ( SV140 @ SV264 )
= $false )
| ( ( ( sK47_SY233 @ SV157 @ SV140 )
= SV264 )
= $true )
| ( ( SV157 @ ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1600]) ).
thf(1619,plain,
! [SV235: $i,SV157: $i > $o,SV266: $i,SV140: $i > $o] :
( ( ( ~ ( SV140 @ SV266 ) )
= $true )
| ( ( ( sK47_SY233 @ SV157 @ SV140 )
= SV266 )
= $true )
| ( ( SV235
= ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1601]) ).
thf(1620,plain,
! [SV231: $i,SV62: $i > $o,SV261: $i,SV109: $i > $o] :
( ( ( SV109 @ SV261 )
= $false )
| ( ( SV109 @ ( sK56_SY261 @ SV261 @ SV109 @ SV62 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1602]) ).
thf(1621,plain,
! [SV231: $i,SV62: $i > $o,SV109: $i > $o,SV261: $i] :
( ( ( SV261
= ( sK56_SY261 @ SV261 @ SV109 @ SV62 ) )
= $false )
| ( ( ~ ( SV109 @ SV261 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1603]) ).
thf(1622,plain,
! [SV231: $i,SV62: $i > $o,SV262: $i,SV109: $i > $o] :
( ( ( SV109 @ ( sK56_SY261 @ SV262 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV109 @ SV262 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV231
= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1604]) ).
thf(1623,plain,
! [SV231: $i,SV62: $i > $o,SV109: $i > $o,SV262: $i] :
( ( ( SV262
!= ( sK56_SY261 @ SV262 @ SV109 @ SV62 ) )
= $true )
| ( ( ~ ( SV109 @ SV262 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV231
= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1605]) ).
thf(1624,plain,
! [SV217: $i,SV62: $i > $o,SV257: $i,SV109: $i > $o] :
( ( ( SV109 @ SV257 )
= $false )
| ( ( SV257
= ( sK56_SY261 @ SV257 @ SV109 @ SV62 ) )
= $false )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV217
= ( sK57_SY258 @ SV217 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV217 )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1625,plain,
! [SV244: $i,SV139: $i > $o,SV267: $i,SV156: $i > $o] :
( ( ( ~ ( SV156 @ SV267 ) )
= $true )
| ( ( ( sK51_SY236 @ SV156 @ SV139 )
= SV267 )
= $true )
| ( ( SV139 @ ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1610]) ).
thf(1626,plain,
! [SV244: $i,SV139: $i > $o,SV269: $i,SV156: $i > $o] :
( ( ( ~ ( SV156 @ SV269 )
| ( ( sK51_SY236 @ SV156 @ SV139 )
= SV269 ) )
= $true )
| ( ( SV244
= ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1611]) ).
thf(1627,plain,
! [SV234: $i,SV139: $i > $o,SV265: $i,SV156: $i > $o] :
( ( ( SV156 @ SV265 )
= $false )
| ( ( ( sK51_SY236 @ SV156 @ SV139 )
= SV265 )
= $true )
| ( ( SV234
= ( sK52_SY234 @ SV234 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV234 )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1614]) ).
thf(1628,plain,
! [SV245: $i,SV157: $i > $o,SV268: $i,SV140: $i > $o] :
( ( ( ~ ( SV140 @ SV268 ) )
= $true )
| ( ( ( sK47_SY233 @ SV157 @ SV140 )
= SV268 )
= $true )
| ( ( SV157 @ ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1615]) ).
thf(1629,plain,
! [SV245: $i,SV157: $i > $o,SV270: $i,SV140: $i > $o] :
( ( ( ~ ( SV140 @ SV270 )
| ( ( sK47_SY233 @ SV157 @ SV140 )
= SV270 ) )
= $true )
| ( ( SV245
= ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1616]) ).
thf(1630,plain,
! [SV235: $i,SV157: $i > $o,SV266: $i,SV140: $i > $o] :
( ( ( SV140 @ SV266 )
= $false )
| ( ( ( sK47_SY233 @ SV157 @ SV140 )
= SV266 )
= $true )
| ( ( SV235
= ( sK48_SY237 @ SV235 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV235 )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $true )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1619]) ).
thf(1631,plain,
! [SV231: $i,SV62: $i > $o,SV261: $i,SV109: $i > $o] :
( ( ( SV109 @ SV261 )
= $false )
| ( ( SV261
= ( sK56_SY261 @ SV261 @ SV109 @ SV62 ) )
= $false )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV62 @ ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $true )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1621]) ).
thf(1632,plain,
! [SV231: $i,SV62: $i > $o,SV262: $i,SV109: $i > $o] :
( ( ( SV109 @ SV262 )
= $false )
| ( ( SV109 @ ( sK56_SY261 @ SV262 @ SV109 @ SV62 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV231
= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1622]) ).
thf(1633,plain,
! [SV231: $i,SV62: $i > $o,SV109: $i > $o,SV262: $i] :
( ( ( SV262
= ( sK56_SY261 @ SV262 @ SV109 @ SV62 ) )
= $false )
| ( ( ~ ( SV109 @ SV262 ) )
= $true )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV231
= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1623]) ).
thf(1634,plain,
! [SV244: $i,SV139: $i > $o,SV267: $i,SV156: $i > $o] :
( ( ( SV156 @ SV267 )
= $false )
| ( ( ( sK51_SY236 @ SV156 @ SV139 )
= SV267 )
= $true )
| ( ( SV139 @ ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $true )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1625]) ).
thf(1635,plain,
! [SV244: $i,SV139: $i > $o,SV269: $i,SV156: $i > $o] :
( ( ( ~ ( SV156 @ SV269 ) )
= $true )
| ( ( ( sK51_SY236 @ SV156 @ SV139 )
= SV269 )
= $true )
| ( ( SV244
= ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1626]) ).
thf(1636,plain,
! [SV245: $i,SV157: $i > $o,SV268: $i,SV140: $i > $o] :
( ( ( SV140 @ SV268 )
= $false )
| ( ( ( sK47_SY233 @ SV157 @ SV140 )
= SV268 )
= $true )
| ( ( SV157 @ ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $true )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1628]) ).
thf(1637,plain,
! [SV245: $i,SV157: $i > $o,SV270: $i,SV140: $i > $o] :
( ( ( ~ ( SV140 @ SV270 ) )
= $true )
| ( ( ( sK47_SY233 @ SV157 @ SV140 )
= SV270 )
= $true )
| ( ( SV245
= ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1629]) ).
thf(1638,plain,
! [SV231: $i,SV62: $i > $o,SV262: $i,SV109: $i > $o] :
( ( ( SV109 @ SV262 )
= $false )
| ( ( SV262
= ( sK56_SY261 @ SV262 @ SV109 @ SV62 ) )
= $false )
| ( ( ( descr
@ ^ [SY722: $i] : ( SV62 @ SY722 ) )
= ( descr
@ ^ [SY791: $i] : ( SV109 @ SY791 ) ) )
= $true )
| ( ( SV231
= ( sK57_SY258 @ SV231 @ SV109 @ SV62 ) )
= $false )
| ( ( SV62 @ SV231 )
= $false )
| ( ( SV62 @ ( sK58_Xx @ SV109 @ SV62 ) )
= $false )
| ( ( SV109 @ ( sK59_SY605 @ SV109 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1633]) ).
thf(1639,plain,
! [SV244: $i,SV139: $i > $o,SV269: $i,SV156: $i > $o] :
( ( ( SV156 @ SV269 )
= $false )
| ( ( ( sK51_SY236 @ SV156 @ SV139 )
= SV269 )
= $true )
| ( ( SV244
= ( sK52_SY234 @ SV244 @ SV156 @ SV139 ) )
= $false )
| ( ( SV139 @ SV244 )
= $false )
| ( ( SV139 @ ( sK53_Xx @ SV156 @ SV139 ) )
= $false )
| ( ( SV156 @ ( sK54_SY604 @ SV156 @ SV139 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1635]) ).
thf(1640,plain,
! [SV245: $i,SV157: $i > $o,SV270: $i,SV140: $i > $o] :
( ( ( SV140 @ SV270 )
= $false )
| ( ( ( sK47_SY233 @ SV157 @ SV140 )
= SV270 )
= $true )
| ( ( SV245
= ( sK48_SY237 @ SV245 @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ SV245 )
= $false )
| ( ( SV140 @ ( sK49_Xx @ SV157 @ SV140 ) )
= $false )
| ( ( SV157 @ ( sK50_SY602 @ SV157 @ SV140 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1637]) ).
thf(1641,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[159,1640,1639,1638,1636,1634,1632,1631,1630,1627,1624,1620,1618,1617,1613,1612,1609,1607,1606,1597,1591,1585,1581,1575,1569,1559,1555,1552,1548,1545,1544,1538,1537,1536,1535,1528,1521,1520,1516,1515,1513,1512,1506,1505,1501,1500,1499,1479,1478,1469,1459,1452,1449,1446,1445,1420,1413,1393,1359,1338,1337,1336,1315,1313,1307,1306,1305,1301,1300,1299,1298,1297,1296,1290,1287,1282,1281,1280,1262,1261,1260,1257,1256,1245,1244,1243,1236,1234,1232,1209,1207,1205,1200,1174,1173,1165,1157,1156,1151,1150,1149,1143,1126,1111,1097,1093,1091,1089,1084,1080,1079,1068,1064,1049,1048,1039,1032,1020,1017,1016,1015,1014,1013,1012,1009,1008,1007,999,987,984,983,975,973,962,956,952,951,950,949,938,933,923,914,895,888,882,880,878,876,875,870,821,798,797,795,789,786,746,733,729,727,726,722,721,711,710,671,652,649,587,586,584,583,529,528,527,526,525,524,517,516,515,514,513,510,507,506,462,440,439,438,437,436,435,390,381,380,379,378,377,374,368,362,361,293,292,291,225,201,163]) ).
thf(1642,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1641]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU562^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.17 % Computer : n014.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Oct 6 15:27:56 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.71/2.36
% 12.71/2.36 No.of.Axioms: 0
% 12.71/2.36
% 12.71/2.36 Length.of.Defs: 16733
% 12.71/2.36
% 12.71/2.36 Contains.Choice.Funs: true
% 12.71/2.36 .............................................................
% 12.71/2.36
% 12.71/2.36 ********************************
% 12.71/2.36 * All subproblems solved! *
% 12.71/2.36 ********************************
% 12.71/2.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:78,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:1641,loop_count:0,foatp_calls:1,translation:fof_full)
% 12.71/2.36
% 12.71/2.36 %**** Beginning of derivation protocol ****
% 12.71/2.36 % SZS output start CNFRefutation
% See solution above
% 12.71/2.37
% 12.71/2.37 %**** End of derivation protocol ****
% 12.71/2.37 %**** no. of clauses in derivation: 1642 ****
% 12.71/2.37 %**** clause counter: 1641 ****
% 12.71/2.37
% 12.71/2.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:78,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:1641,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------