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vin
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vout
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0.07 bars
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PUbQq..
/
7ddfd..
doc published by
PrGxv..
Known
fed08..
nat_ind
:
∀ x0 :
ι → ο
.
x0
0
⟶
(
∀ x1 .
nat_p
x1
⟶
x0
x1
⟶
x0
(
ordsucc
x1
)
)
⟶
∀ x1 .
nat_p
x1
⟶
x0
x1
Known
e51a8..
cases_1
:
∀ x0 .
In
x0
1
⟶
∀ x1 :
ι → ο
.
x1
0
⟶
x1
x0
Known
6696a..
Subq_ref
:
∀ x0 .
Subq
x0
x0
Known
0978b..
In_0_1
:
In
0
1
Known
37124..
orE
:
∀ x0 x1 : ο .
or
x0
x1
⟶
∀ x2 : ο .
(
x0
⟶
x2
)
⟶
(
x1
⟶
x2
)
⟶
x2
Known
a9fff..
ordinal_linear
:
∀ x0 x1 .
ordinal
x0
⟶
ordinal
x1
⟶
or
(
Subq
x0
x1
)
(
Subq
x1
x0
)
Known
cf025..
ordsuccI2
:
∀ x0 .
In
x0
(
ordsucc
x0
)
Known
b4776..
ordsuccE_impred
:
∀ x0 x1 .
In
x1
(
ordsucc
x0
)
⟶
∀ x2 : ο .
(
In
x1
x0
⟶
x2
)
⟶
(
x1
=
x0
⟶
x2
)
⟶
x2
Known
2ad64..
Subq_tra
:
∀ x0 x1 x2 .
Subq
x0
x1
⟶
Subq
x1
x2
⟶
Subq
x0
x2
Known
e9b50..
ordsuccI1b
:
∀ x0 x1 .
In
x1
x0
⟶
In
x1
(
ordsucc
x0
)
Known
08dfe..
nat_p_ordinal
:
∀ x0 .
nat_p
x0
⟶
ordinal
x0
Theorem
33ca4..
:
∀ x0 :
ι → ι
.
(
∀ x1 .
nat_p
(
x0
x1
)
)
⟶
∀ x1 .
nat_p
x1
⟶
∀ x2 : ο .
(
x1
=
0
⟶
x2
)
⟶
(
∀ x3 .
In
x3
x1
⟶
(
∀ x4 .
In
x4
x1
⟶
Subq
(
x0
x4
)
(
x0
x3
)
)
⟶
x2
)
⟶
x2
(proof)
Known
d0de4..
Empty_eq
:
∀ x0 .
(
∀ x1 .
nIn
x1
x0
)
⟶
x0
=
0
Known
9d2e6..
nIn_I2
:
∀ x0 x1 .
(
In
x0
x1
⟶
False
)
⟶
nIn
x0
x1
Known
7b31d..
famunionE2
:
∀ x0 .
∀ x1 :
ι → ι
.
∀ x2 .
In
x2
(
famunion
x0
x1
)
⟶
∀ x3 : ο .
(
∀ x4 .
In
x4
x0
⟶
In
x2
(
x1
x4
)
⟶
x3
)
⟶
x3
Known
FalseE
FalseE
:
False
⟶
∀ x0 : ο .
x0
Known
2901c..
EmptyE
:
∀ x0 .
In
x0
0
⟶
False
Theorem
87196..
:
∀ x0 :
ι → ι
.
famunion
0
x0
=
0
(proof)
Known
c8f7e..
:
∀ x0 .
nat_p
x0
⟶
∀ x1 : ο .
(
∀ x2 .
and
(
nat_p
x2
)
(
equip
(
V_
x0
)
x2
)
⟶
x1
)
⟶
x1
Known
andE
andE
:
∀ x0 x1 : ο .
and
x0
x1
⟶
∀ x2 : ο .
(
x0
⟶
x1
⟶
x2
)
⟶
x2
Known
c9b7c..
equipE_impred
:
∀ x0 x1 .
equip
x0
x1
⟶
∀ x2 : ο .
(
∀ x3 :
ι → ι
.
bij
x0
x1
x3
⟶
x2
)
⟶
x2
Known
637fd..
equip_sym
:
∀ x0 x1 .
equip
x0
x1
⟶
equip
x1
x0
Known
80a11..
bijE_impred
:
∀ x0 x1 .
∀ x2 :
ι → ι
.
bij
x0
x1
x2
⟶
∀ x3 : ο .
(
inj
x0
x1
x2
⟶
(
∀ x4 .
In
x4
x1
⟶
∀ x5 : ο .
(
∀ x6 .
and
(
In
x6
x0
)
(
x2
x6
=
x4
)
⟶
x5
)
⟶
x5
)
⟶
x3
)
⟶
x3
Known
e6daf..
injE_impred
:
∀ x0 x1 .
∀ x2 :
ι → ι
.
inj
x0
x1
x2
⟶
∀ x3 : ο .
(
(
∀ x4 .
In
x4
x0
⟶
In
(
x2
x4
)
x1
)
⟶
(
∀ x4 .
In
x4
x0
⟶
∀ x5 .
In
x5
x0
⟶
x2
x4
=
x2
x5
⟶
x4
=
x5
)
⟶
x3
)
⟶
x3
Known
08405..
nat_0
:
nat_p
0
Known
535f2..
set_ext_2
:
∀ x0 x1 .
(
∀ x2 .
In
x2
x0
⟶
In
x2
x1
)
⟶
(
∀ x2 .
In
x2
x1
⟶
In
x2
x0
)
⟶
x0
=
x1
Known
367e6..
SubqE
:
∀ x0 x1 .
Subq
x0
x1
⟶
∀ x2 .
In
x2
x0
⟶
In
x2
x1
Known
8f8c2..
famunionI
:
∀ x0 .
∀ x1 :
ι → ι
.
∀ x2 x3 .
In
x2
x0
⟶
In
x3
(
x1
x2
)
⟶
In
x3
(
famunion
x0
x1
)
Known
0d2f9..
If_i_1
:
∀ x0 : ο .
∀ x1 x2 .
x0
⟶
If_i
x0
x1
x2
=
x1
Known
7c02f..
andI
:
∀ x0 x1 : ο .
x0
⟶
x1
⟶
and
x0
x1
Known
eb789..
andER
:
∀ x0 x1 : ο .
and
x0
x1
⟶
x1
Known
b4782..
contra
:
∀ x0 : ο .
(
not
x0
⟶
False
)
⟶
x0
Known
81513..
If_i_0
:
∀ x0 : ο .
∀ x1 x2 .
not
x0
⟶
If_i
x0
x1
x2
=
x2
Known
47706..
xmcases
:
∀ x0 x1 : ο .
(
x0
⟶
x1
)
⟶
(
not
x0
⟶
x1
)
⟶
x1
Theorem
425a4..
:
∀ x0 .
nat_p
x0
⟶
∀ x1 .
∀ x2 :
ι → ι
.
Subq
x1
(
V_
x0
)
⟶
(
∀ x3 .
In
x3
x1
⟶
nat_p
(
x2
x3
)
)
⟶
nat_p
(
famunion
x1
x2
)
(proof)
Known
38874..
HF_Min
:
∀ x0 :
ι → ο
.
(
∀ x1 .
x0
x1
⟶
∀ x2 .
In
x2
x1
⟶
x0
x2
)
⟶
x0
0
⟶
(
∀ x1 .
x0
x1
⟶
x0
(
Union
x1
)
)
⟶
(
∀ x1 .
x0
x1
⟶
x0
(
Power
x1
)
)
⟶
(
∀ x1 .
x0
x1
⟶
∀ x2 :
ι → ι
.
(
∀ x3 .
In
x3
x1
⟶
x0
(
x2
x3
)
)
⟶
x0
(
Repl
x1
x2
)
)
⟶
∀ x1 .
x0
x1
Known
2fc4a..
TransSetE
:
∀ x0 .
TransSet
x0
⟶
∀ x1 .
In
x1
x0
⟶
Subq
x1
x0
Known
16197..
:
∀ x0 .
TransSet
(
V_
x0
)
Known
ed2b7..
:
V_
0
=
0
Known
b0dce..
SubqI
:
∀ x0 x1 .
(
∀ x2 .
In
x2
x0
⟶
In
x2
x1
)
⟶
Subq
x0
x1
Known
2109a..
UnionE2
:
∀ x0 x1 .
In
x1
(
Union
x0
)
⟶
∀ x2 : ο .
(
∀ x3 .
In
x1
x3
⟶
In
x3
x0
⟶
x2
)
⟶
x2
Known
21479..
nat_ordsucc
:
∀ x0 .
nat_p
x0
⟶
nat_p
(
ordsucc
x0
)
Known
b5461..
V_I
:
∀ x0 x1 x2 .
In
x1
x2
⟶
Subq
x0
(
V_
x1
)
⟶
In
x0
(
V_
x2
)
Known
ae89b..
PowerE
:
∀ x0 x1 .
In
x1
(
Power
x0
)
⟶
Subq
x1
x0
Known
0f096..
ReplE2
:
∀ x0 .
∀ x1 :
ι → ι
.
∀ x2 .
In
x2
(
Repl
x0
x1
)
⟶
∀ x3 : ο .
(
∀ x4 .
In
x4
x0
⟶
x2
=
x1
x4
⟶
x3
)
⟶
x3
Known
39854..
andEL
:
∀ x0 x1 : ο .
and
x0
x1
⟶
x0
Known
4cb75..
Eps_i_R
:
∀ x0 :
ι → ο
.
∀ x1 .
x0
x1
⟶
x0
(
Eps_i
x0
)
Theorem
a0b86..
:
∀ x0 .
∀ x1 : ο .
(
∀ x2 .
and
(
nat_p
x2
)
(
Subq
x0
(
V_
x2
)
)
⟶
x1
)
⟶
x1
(proof)
Known
ff582..
:
∀ x0 x1 .
nat_p
x1
⟶
atleastp
x0
x1
⟶
∀ x2 : ο .
(
∀ x3 .
and
(
In
x3
(
ordsucc
x1
)
)
(
equip
x0
x3
)
⟶
x2
)
⟶
x2
Known
b0a90..
nat_p_trans
:
∀ x0 .
nat_p
x0
⟶
∀ x1 .
In
x1
x0
⟶
nat_p
x1
Known
3394a..
:
∀ x0 x1 x2 .
Subq
x0
x1
⟶
atleastp
x1
x2
⟶
atleastp
x0
x2
Known
a8ad4..
:
∀ x0 x1 .
equip
x0
x1
⟶
atleastp
x0
x1
Theorem
ab4f7..
:
∀ x0 .
∀ x1 : ο .
(
∀ x2 .
and
(
nat_p
x2
)
(
equip
x0
x2
)
⟶
x1
)
⟶
x1
(proof)
Known
82600..
:
∀ x0 .
equip
x0
0
⟶
x0
=
0
Known
91fe9..
add_nat_cancelL
:
∀ x0 x1 x2 .
nat_p
x0
⟶
nat_p
x1
⟶
nat_p
x2
⟶
add_nat
x0
x1
=
add_nat
x0
x2
⟶
x1
=
x2
Known
02169..
add_nat_0R
:
∀ x0 .
add_nat
x0
0
=
x0
Known
dccf1..
:
∀ x0 .
nat_p
x0
⟶
∀ x1 .
nat_p
x1
⟶
equip
x0
x1
⟶
x0
=
x1
Known
56073..
add_nat_p
:
∀ x0 .
nat_p
x0
⟶
∀ x1 .
nat_p
x1
⟶
nat_p
(
add_nat
x0
x1
)
Known
30edc..
equip_tra
:
∀ x0 x1 x2 .
equip
x0
x1
⟶
equip
x1
x2
⟶
equip
x0
x2
Known
0b5e2..
equip_setsum_cong
:
∀ x0 x1 x2 x3 .
equip
x0
x2
⟶
equip
x1
x3
⟶
equip
(
setsum
x0
x1
)
(
setsum
x2
x3
)
Known
4d857..
equip_setsum_add_nat
:
∀ x0 .
nat_p
x0
⟶
∀ x1 .
nat_p
x1
⟶
equip
(
setsum
x0
x1
)
(
add_nat
x0
x1
)
Theorem
fb173..
:
∀ x0 x1 .
equip
(
setsum
x0
x1
)
x0
⟶
x1
=
0
(proof)
Known
2d714..
:
∀ x0 x1 .
atleastp
x0
x1
⟶
∀ x2 : ο .
(
∀ x3 .
and
(
Subq
x3
x1
)
(
equip
x0
x3
)
⟶
x2
)
⟶
x2
Known
9ea3e..
Inj1_setsum
:
∀ x0 x1 x2 .
In
x2
x1
⟶
In
(
Inj1
x2
)
(
setsum
x0
x1
)
Known
fcc2b..
:
∀ x0 x1 x2 .
equip
(
setsum
(
setsum
x0
x1
)
x2
)
(
setsum
x0
(
setsum
x1
x2
)
)
Known
d5a72..
:
∀ x0 x1 .
Subq
x1
x0
⟶
equip
(
setsum
x1
(
setminus
x0
x1
)
)
x0
Known
54d4b..
equip_ref
:
∀ x0 .
equip
x0
x0
Theorem
d16cf..
:
∀ x0 x1 .
atleastp
(
setsum
x0
x1
)
x0
⟶
x1
=
0
(proof)
Param
99f52..
:
ι
Definition
6a551..
:=
Power
99f52..
Known
f2c89..
Empty_In_Power
:
∀ x0 .
In
0
(
Power
x0
)
Theorem
b66fa..
:
6a551..
=
0
⟶
False
(proof)
Param
50a6b..
:
ι
Param
33cc2..
:
ι
Param
d3f3c..
:
ι
Theorem
a47b6..
:
∀ x0 x1 x2 .
equip
(
setsum
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
x1
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
x2
)
(
setsum
(
setexp
x0
50a6b..
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
x1
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
x2
)
(
setsum
(
setexp
x0
33cc2..
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
x0
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
x0
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
x2
)
)
(
setsum
(
setprod
x0
x1
)
(
setsum
(
setprod
x0
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
x0
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
x0
x2
)
(
setsum
x0
(
setsum
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
(
setexp
x1
50a6b..
)
x2
)
(
setsum
(
setexp
x1
50a6b..
)
(
setsum
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
(
setexp
x1
33cc2..
)
x2
)
(
setsum
(
setexp
x1
33cc2..
)
(
setsum
(
setprod
x1
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
x1
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
x1
x2
)
(
setsum
x1
(
setsum
(
setexp
x2
50a6b..
)
(
setsum
(
setexp
x2
33cc2..
)
(
setsum
x2
d3f3c..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
6a551..
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
x1
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
(
setexp
x0
50a6b..
)
x2
)
(
setsum
(
setexp
x0
50a6b..
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
x1
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
(
setexp
x0
33cc2..
)
x2
)
(
setsum
(
setexp
x0
33cc2..
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
x0
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
x0
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
x2
)
)
(
setsum
(
setprod
x0
x1
)
(
setsum
(
setprod
x0
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
x0
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
x0
x2
)
(
setsum
x0
(
setsum
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
(
setexp
x1
50a6b..
)
x2
)
(
setsum
(
setexp
x1
50a6b..
)
(
setsum
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
(
setexp
x1
33cc2..
)
x2
)
(
setsum
(
setexp
x1
33cc2..
)
(
setsum
(
setprod
x1
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
x1
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
x1
x2
)
(
setsum
x1
(
setsum
(
setexp
x2
50a6b..
)
(
setsum
(
setexp
x2
33cc2..
)
(
setsum
x2
d3f3c..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Theorem
4d819..
:
∀ x0 x1 x2 x3 .
atleastp
(
setsum
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
x2
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
x2
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
x2
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
x3
)
)
(
setsum
(
setprod
x0
x1
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
x0
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x2
x3
)
)
(
setsum
(
setprod
x0
x2
)
(
setsum
(
setprod
x0
(
setexp
x3
50a6b..
)
)
(
setsum
(
setprod
x0
(
setexp
x3
33cc2..
)
)
(
setsum
(
setprod
x0
x3
)
x0
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
6a551..
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
x2
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
x2
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
x2
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
x3
)
)
(
setsum
(
setprod
x0
x1
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
x0
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x2
x3
)
)
(
setsum
(
setprod
x0
x2
)
(
setsum
(
setprod
x0
(
setexp
x3
50a6b..
)
)
(
setsum
(
setprod
x0
(
setexp
x3
33cc2..
)
)
(
setsum
(
setprod
x0
x3
)
x0
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Theorem
3a640..
:
∀ x0 x1 x2 x3 .
equip
(
setsum
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
x2
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
x2
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
x2
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
x3
)
)
(
setsum
(
setprod
x0
x1
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
x0
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x2
x3
)
)
(
setsum
(
setprod
x0
x2
)
(
setsum
(
setprod
x0
(
setexp
x3
50a6b..
)
)
(
setsum
(
setprod
x0
(
setexp
x3
33cc2..
)
)
(
setsum
(
setprod
x0
x3
)
x0
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
6a551..
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
x2
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
x2
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
x2
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
x3
)
)
(
setsum
(
setprod
x0
x1
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
x0
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x2
x3
)
)
(
setsum
(
setprod
x0
x2
)
(
setsum
(
setprod
x0
(
setexp
x3
50a6b..
)
)
(
setsum
(
setprod
x0
(
setexp
x3
33cc2..
)
)
(
setsum
(
setprod
x0
x3
)
x0
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Theorem
83728..
:
∀ x0 x1 x2 .
atleastp
(
setsum
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
33cc2..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
33cc2..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
33cc2..
x0
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
33cc2..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
33cc2..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
33cc2..
x1
)
(
setsum
(
setprod
33cc2..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
33cc2..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
33cc2..
x2
)
33cc2..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
6a551..
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
33cc2..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
33cc2..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
33cc2..
x0
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
33cc2..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
33cc2..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
33cc2..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
33cc2..
x1
)
(
setsum
(
setprod
33cc2..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
33cc2..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
33cc2..
x2
)
33cc2..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Theorem
5ff46..
:
∀ x0 x1 x2 .
equip
(
setsum
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
50a6b..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
50a6b..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
50a6b..
x0
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
50a6b..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
50a6b..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
50a6b..
x1
)
(
setsum
(
setprod
50a6b..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
50a6b..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
50a6b..
x2
)
50a6b..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
6a551..
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
50a6b..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
50a6b..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
50a6b..
x0
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
50a6b..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
50a6b..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
50a6b..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
50a6b..
x1
)
(
setsum
(
setprod
50a6b..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
50a6b..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
50a6b..
x2
)
50a6b..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Theorem
513e5..
:
∀ x0 x1 x2 .
atleastp
(
setsum
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
99f52..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
99f52..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
99f52..
x0
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
99f52..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
99f52..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
99f52..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
99f52..
x1
)
(
setsum
(
setprod
99f52..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
99f52..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
99f52..
x2
)
99f52..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
6a551..
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
99f52..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
99f52..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
99f52..
x0
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
99f52..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
99f52..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
99f52..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
99f52..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
99f52..
x1
)
(
setsum
(
setprod
99f52..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
99f52..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
99f52..
x2
)
99f52..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Param
4cfc8..
:
ι
Theorem
92f45..
:
∀ x0 x1 x2 .
equip
(
setsum
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
4cfc8..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
4cfc8..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
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(
setprod
4cfc8..
(
setprod
(
setexp
x0
33cc2..
)
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)
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(
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(
setprod
4cfc8..
(
setexp
x0
33cc2..
)
)
(
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(
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4cfc8..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
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x2
50a6b..
)
)
)
)
(
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(
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4cfc8..
(
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x0
(
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(
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x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
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(
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4cfc8..
(
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x0
(
setprod
(
setexp
x1
50a6b..
)
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)
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(
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(
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4cfc8..
(
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x0
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x1
50a6b..
)
)
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(
setprod
4cfc8..
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(
setexp
x1
33cc2..
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x2
50a6b..
)
)
)
)
(
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(
setprod
4cfc8..
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x0
(
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(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
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4cfc8..
(
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x0
(
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(
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x1
33cc2..
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(
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(
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4cfc8..
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4cfc8..
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(
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4cfc8..
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x0
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x1
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x2
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(
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(
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4cfc8..
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(
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4cfc8..
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4cfc8..
(
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setexp
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4cfc8..
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4cfc8..
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4cfc8..
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4cfc8..
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4cfc8..
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4cfc8..
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x1
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4cfc8..
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4cfc8..
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4cfc8..
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setexp
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4cfc8..
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4cfc8..
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4cfc8..
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4cfc8..
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4cfc8..
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)
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4cfc8..
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50a6b..
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setexp
x2
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4cfc8..
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(
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setexp
x2
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)
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(
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4cfc8..
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(
setexp
x0
50a6b..
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setexp
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50a6b..
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)
(
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(
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4cfc8..
(
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x0
50a6b..
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setexp
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)
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(
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4cfc8..
(
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(
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x0
50a6b..
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x1
33cc2..
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x2
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)
)
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)
(
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4cfc8..
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(
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50a6b..
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x1
33cc2..
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setexp
x2
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)
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(
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4cfc8..
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(
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50a6b..
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(
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x1
33cc2..
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(
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4cfc8..
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x0
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4cfc8..
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x0
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4cfc8..
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x2
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4cfc8..
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x0
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4cfc8..
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x0
50a6b..
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4cfc8..
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x0
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4cfc8..
(
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(
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x0
50a6b..
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4cfc8..
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x0
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4cfc8..
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4cfc8..
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x2
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)
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(
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(
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4cfc8..
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(
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x0
33cc2..
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x1
50a6b..
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setexp
x2
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)
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(
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4cfc8..
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(
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33cc2..
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50a6b..
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(
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(
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4cfc8..
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(
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x0
33cc2..
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setexp
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50a6b..
)
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(
setsum
(
setprod
4cfc8..
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(
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x0
33cc2..
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33cc2..
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setexp
x2
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)
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)
(
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4cfc8..
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(
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x0
33cc2..
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(
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x1
33cc2..
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(
setexp
x2
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)
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)
(
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(
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4cfc8..
(
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(
setexp
x0
33cc2..
)
(
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(
setexp
x1
33cc2..
)
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(
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(
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4cfc8..
(
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(
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x0
33cc2..
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setexp
x1
33cc2..
)
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(
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(
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4cfc8..
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(
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x0
33cc2..
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setprod
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setexp
x2
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)
)
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)
(
setsum
(
setprod
4cfc8..
(
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(
setexp
x0
33cc2..
)
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x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
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4cfc8..
(
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(
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x0
33cc2..
)
(
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)
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(
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(
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4cfc8..
(
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(
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x0
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4cfc8..
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(
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x0
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setexp
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)
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4cfc8..
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(
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x0
33cc2..
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)
)
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(
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4cfc8..
(
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(
setexp
x0
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4cfc8..
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)
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(
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4cfc8..
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(
setexp
x1
50a6b..
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x2
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)
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(
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(
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4cfc8..
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(
setexp
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50a6b..
)
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setexp
x2
33cc2..
)
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(
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(
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4cfc8..
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(
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50a6b..
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(
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(
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4cfc8..
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)
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(
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4cfc8..
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(
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33cc2..
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x2
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(
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(
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4cfc8..
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33cc2..
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4cfc8..
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4cfc8..
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4cfc8..
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4cfc8..
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4cfc8..
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4cfc8..
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4cfc8..
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4cfc8..
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4cfc8..
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4cfc8..
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(
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(
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4cfc8..
(
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setexp
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(
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(
setprod
4cfc8..
(
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(
setexp
x1
50a6b..
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)
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(
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(
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4cfc8..
(
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50a6b..
)
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(
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(
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4cfc8..
(
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(
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setexp
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)
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(
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(
setprod
4cfc8..
(
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(
setexp
x1
33cc2..
)
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setexp
x2
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)
)
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(
setsum
(
setprod
4cfc8..
(
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(
setexp
x1
33cc2..
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)
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(
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(
setprod
4cfc8..
(
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)
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(
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(
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4cfc8..
(
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(
setexp
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)
)
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(
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(
setprod
4cfc8..
(
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(
setexp
x2
33cc2..
)
)
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(
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(
setprod
4cfc8..
(
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)
)
(
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(
setprod
4cfc8..
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)
(
setsum
(
setprod
4cfc8..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
4cfc8..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
4cfc8..
x2
)
4cfc8..
)
)
)
)
)
)
)
)
)
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)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
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)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Param
ae183..
:
ι
Theorem
d2906..
:
∀ x0 x1 x2 .
atleastp
(
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(
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(
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ae183..
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(
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50a6b..
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x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
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ae183..
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(
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x0
50a6b..
)
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x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
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(
setprod
ae183..
(
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(
setexp
x0
50a6b..
)
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(
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x1
50a6b..
)
x2
)
)
)
(
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(
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ae183..
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(
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x0
50a6b..
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setexp
x1
50a6b..
)
)
)
(
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(
setprod
ae183..
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(
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x0
50a6b..
)
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(
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x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
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(
setprod
ae183..
(
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(
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x0
50a6b..
)
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(
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x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
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(
setprod
ae183..
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(
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50a6b..
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(
setexp
x1
33cc2..
)
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)
)
)
(
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(
setprod
ae183..
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50a6b..
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x1
33cc2..
)
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(
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(
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ae183..
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(
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50a6b..
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x2
50a6b..
)
)
)
)
(
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(
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ae183..
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(
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x0
50a6b..
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setexp
x2
33cc2..
)
)
)
)
(
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(
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ae183..
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50a6b..
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x1
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)
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)
(
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(
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ae183..
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(
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x0
50a6b..
)
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)
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ae183..
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x0
50a6b..
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setexp
x2
50a6b..
)
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)
(
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ae183..
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50a6b..
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x2
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)
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(
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(
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ae183..
(
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(
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x0
50a6b..
)
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)
)
(
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(
setprod
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setexp
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setexp
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(
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ae183..
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50a6b..
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(
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(
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ae183..
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(
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ae183..
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x0
33cc2..
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(
setexp
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(
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ae183..
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(
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ae183..
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(
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ae183..
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(
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ae183..
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setexp
x2
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(
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ae183..
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x0
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setexp
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)
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(
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ae183..
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x0
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(
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ae183..
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(
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x0
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ae183..
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(
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ae183..
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(
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ae183..
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ae183..
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(
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ae183..
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(
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ae183..
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ae183..
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x2
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ae183..
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ae183..
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ae183..
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ae183..
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ae183..
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6a551..
)
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(
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setexp
x2
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(
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(
setprod
ae183..
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(
setexp
x0
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(
setexp
x2
33cc2..
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(
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(
setprod
ae183..
(
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(
setexp
x0
50a6b..
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(
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x1
50a6b..
)
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)
(
setsum
(
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ae183..
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(
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x0
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setexp
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50a6b..
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(
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(
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ae183..
(
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(
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x0
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x1
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setexp
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)
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(
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(
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ae183..
(
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(
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(
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x1
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setexp
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(
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(
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ae183..
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(
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(
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(
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ae183..
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(
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(
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(
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ae183..
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(
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x0
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(
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x2
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)
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(
setsum
(
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ae183..
(
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(
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x0
50a6b..
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x1
x2
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(
setsum
(
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ae183..
(
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(
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x0
50a6b..
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(
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ae183..
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(
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x0
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x2
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(
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(
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ae183..
(
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(
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x0
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x2
33cc2..
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(
setsum
(
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ae183..
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(
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x0
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(
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ae183..
(
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(
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ae183..
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(
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x0
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(
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x1
50a6b..
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setexp
x2
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)
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(
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(
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ae183..
(
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(
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x0
33cc2..
)
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(
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x1
50a6b..
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(
setexp
x2
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)
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(
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(
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ae183..
(
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(
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x0
33cc2..
)
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(
setexp
x1
50a6b..
)
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(
setsum
(
setprod
ae183..
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(
setexp
x0
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setexp
x1
50a6b..
)
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(
setsum
(
setprod
ae183..
(
setprod
(
setexp
x0
33cc2..
)
(
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(
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x1
33cc2..
)
(
setexp
x2
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)
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)
)
(
setsum
(
setprod
ae183..
(
setprod
(
setexp
x0
33cc2..
)
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setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
ae183..
(
setprod
(
setexp
x0
33cc2..
)
(
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(
setexp
x1
33cc2..
)
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)
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(
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(
setprod
ae183..
(
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(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
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(
setsum
(
setprod
ae183..
(
setprod
(
setexp
x0
33cc2..
)
(
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x1
(
setexp
x2
50a6b..
)
)
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)
(
setsum
(
setprod
ae183..
(
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(
setexp
x0
33cc2..
)
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x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
ae183..
(
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(
setexp
x0
33cc2..
)
(
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x1
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)
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(
setsum
(
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ae183..
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(
setexp
x0
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)
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(
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ae183..
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(
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(
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ae183..
(
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(
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x0
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setexp
x2
33cc2..
)
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(
setsum
(
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ae183..
(
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(
setexp
x0
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)
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)
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(
setsum
(
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ae183..
(
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x0
33cc2..
)
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(
setsum
(
setprod
ae183..
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x0
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(
setexp
x1
50a6b..
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(
setexp
x2
50a6b..
)
)
)
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(
setsum
(
setprod
ae183..
(
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x0
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(
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x1
50a6b..
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(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
ae183..
(
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(
setexp
x1
50a6b..
)
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)
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(
setsum
(
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ae183..
(
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x0
(
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x1
50a6b..
)
)
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(
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(
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ae183..
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x0
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(
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x1
33cc2..
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setexp
x2
50a6b..
)
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(
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(
setprod
ae183..
(
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x0
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(
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x1
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setexp
x2
33cc2..
)
)
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(
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(
setprod
ae183..
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(
setexp
x1
33cc2..
)
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)
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(
setsum
(
setprod
ae183..
(
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x0
(
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x1
33cc2..
)
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(
setsum
(
setprod
ae183..
(
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setprod
x1
(
setexp
x2
50a6b..
)
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(
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(
setprod
ae183..
(
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x0
(
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x1
(
setexp
x2
33cc2..
)
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)
)
(
setsum
(
setprod
ae183..
(
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x0
(
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x1
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)
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)
(
setsum
(
setprod
ae183..
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x0
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)
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(
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(
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ae183..
(
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x0
(
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x2
50a6b..
)
)
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(
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(
setprod
ae183..
(
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x0
(
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x2
33cc2..
)
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(
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(
setprod
ae183..
(
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x0
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)
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(
setsum
(
setprod
ae183..
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(
setsum
(
setprod
ae183..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
ae183..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
ae183..
(
setprod
(
setexp
x1
50a6b..
)
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)
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(
setsum
(
setprod
ae183..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
ae183..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
ae183..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
ae183..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
ae183..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
ae183..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
ae183..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
ae183..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
ae183..
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)
(
setsum
(
setprod
ae183..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
ae183..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
ae183..
x2
)
ae183..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Param
803bd..
:
ι
Theorem
8861c..
:
∀ x0 x1 x2 .
equip
(
setsum
(
setsum
(
setprod
803bd..
(
setprod
(
setexp
x0
50a6b..
)
(
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(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
803bd..
(
setprod
(
setexp
x0
50a6b..
)
(
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(
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x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
803bd..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
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)
)
)
(
setsum
(
setprod
803bd..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
803bd..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
803bd..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
803bd..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
803bd..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
803bd..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
803bd..
x1
)
(
setsum
(
setprod
803bd..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
803bd..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
803bd..
x2
)
803bd..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Param
568b5..
:
ι
Theorem
2a592..
:
∀ x0 x1 x2 .
atleastp
(
setsum
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
568b5..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
568b5..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
568b5..
x0
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
568b5..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
568b5..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
568b5..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
568b5..
x1
)
(
setsum
(
setprod
568b5..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
568b5..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
568b5..
x2
)
568b5..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
6a551..
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
568b5..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
568b5..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
568b5..
x0
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
568b5..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
568b5..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
568b5..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
568b5..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
568b5..
x1
)
(
setsum
(
setprod
568b5..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
568b5..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
568b5..
x2
)
568b5..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Param
2d4e1..
:
ι
Theorem
5cee6..
:
∀ x0 x1 x2 .
equip
(
setsum
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
2d4e1..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
2d4e1..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
2d4e1..
x0
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
2d4e1..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
2d4e1..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
2d4e1..
x1
)
(
setsum
(
setprod
2d4e1..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
2d4e1..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
2d4e1..
x2
)
2d4e1..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
6a551..
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
2d4e1..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
2d4e1..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
2d4e1..
x0
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
2d4e1..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
2d4e1..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2d4e1..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
2d4e1..
x1
)
(
setsum
(
setprod
2d4e1..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
2d4e1..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
2d4e1..
x2
)
2d4e1..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Param
c4124..
:
ι
Theorem
611aa..
:
∀ x0 x1 x2 .
atleastp
(
setsum
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
c4124..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
c4124..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
c4124..
x0
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
c4124..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
c4124..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
c4124..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
c4124..
x1
)
(
setsum
(
setprod
c4124..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
c4124..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
c4124..
x2
)
c4124..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
6a551..
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
c4124..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
c4124..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
c4124..
x0
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
c4124..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
c4124..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
c4124..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c4124..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
c4124..
x1
)
(
setsum
(
setprod
c4124..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
c4124..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
c4124..
x2
)
c4124..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Param
265be..
:
ι
Theorem
13a2e..
:
∀ x0 x1 x2 .
equip
(
setsum
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
265be..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
265be..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
265be..
x0
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
265be..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
265be..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
265be..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
265be..
x1
)
(
setsum
(
setprod
265be..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
265be..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
265be..
x2
)
265be..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
6a551..
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
265be..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
265be..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
265be..
x0
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
265be..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
265be..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
265be..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
265be..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
265be..
x1
)
(
setsum
(
setprod
265be..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
265be..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
265be..
x2
)
265be..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Param
c0b45..
:
ι
Theorem
2ad42..
:
∀ x0 x1 x2 .
atleastp
(
setsum
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
c0b45..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
c0b45..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
c0b45..
x0
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
c0b45..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
c0b45..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
c0b45..
x1
)
(
setsum
(
setprod
c0b45..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
c0b45..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
c0b45..
x2
)
c0b45..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
6a551..
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
c0b45..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
c0b45..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
c0b45..
x0
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
c0b45..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
c0b45..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
c0b45..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
c0b45..
x1
)
(
setsum
(
setprod
c0b45..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
c0b45..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
c0b45..
x2
)
c0b45..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Param
2f0db..
:
ι
Theorem
ababc..
:
∀ x0 x1 x2 .
equip
(
setsum
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
2f0db..
x0
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
2f0db..
x1
)
(
setsum
(
setprod
2f0db..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
2f0db..
x2
)
2f0db..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
6a551..
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
2f0db..
x0
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
2f0db..
x1
)
(
setsum
(
setprod
2f0db..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
2f0db..
x2
)
2f0db..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Param
0d915..
:
ι
Theorem
8e9ea..
:
∀ x0 x1 x2 .
atleastp
(
setsum
(
setsum
(
setprod
0d915..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
0d915..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
0d915..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
0d915..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
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setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
0d915..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
0d915..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
0d915..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
0d915..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
0d915..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
0d915..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
0d915..
x1
)
(
setsum
(
setprod
0d915..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
0d915..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
0d915..
x2
)
0d915..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)
Param
988b5..
:
ι
Theorem
ce134..
:
∀ x0 x1 x2 .
equip
(
setsum
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
988b5..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
988b5..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
988b5..
x0
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
988b5..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
988b5..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
988b5..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
988b5..
x1
)
(
setsum
(
setprod
988b5..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
988b5..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
988b5..
x2
)
988b5..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
6a551..
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
988b5..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
988b5..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
988b5..
x0
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
988b5..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
988b5..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
988b5..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
988b5..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
988b5..
x1
)
(
setsum
(
setprod
988b5..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
988b5..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
988b5..
x2
)
988b5..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
⟶
False
(proof)