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25.erc20transfer_success_tm_0_9.mm
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25.erc20transfer_success_tm_0_9.mm
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$( Theory: 25.erc20transfer_success_tm_0_9 $)
$c
#ElementVariable
#Pattern
(
)
\exists
\imp
|-
\equals
\in-sort
\kore-and
\kore-dv
\kore-equals
\kore-for-sorted-pattern
\kore-forall
\kore-functional
\kore-kseq
\kore-rewrites
\kore-valid
Sg0 $( b'ksym_LblisKResult' $)
Sg1 $( b"ksym_Lbl'Unds'-'UndsUnds'IMP-SYNTAX'Unds'AExp'Unds'AExp'Unds'AExp" $)
Sg10 $( b"ksym_Lbl'Unds'andBool'Unds'" $)
Sg11 $( b'ksort_SortGeneratedTopCell' $)
Sg13 $( b'ksort_SortK' $)
Sg15 $( b"ksym_Lbl'UndsEqlsUndsSClnUnds'IMP-SYNTAX'Unds'Stmt'Unds'Id'Unds'AExp" $)
Sg16 $( b'receiverBalance' $)
Sg17 $( b"ksym_Lbl'UndsPlusUndsUnds'IMP-SYNTAX'Unds'AExp'Unds'AExp'Unds'AExp" $)
Sg18 $( b'returnValue' $)
Sg19 $( b'ksort_SortInt' $)
Sg2 $( b'ksort_SortId' $)
Sg20 $( b'1' $)
Sg21 $( b'ksort_SortStateCell' $)
Sg22 $( b"ksym_Lbl'-LT-'state'-GT-'" $)
Sg23 $( b"ksym_Lbl'Unds'Map'Unds'" $)
Sg24 $( b"ksym_Lbl'UndsPipe'-'-GT-Unds'" $)
Sg25 $( b'0' $)
Sg26 $( b'49' $)
Sg27 $( b'50' $)
Sg28 $( b'10000' $)
Sg29 $( b'ksort_SortGeneratedCounterCell' $)
Sg3 $( b'senderBalance' $)
Sg31 $( b"ksym_Lbl'-LT-'generatedTop'-GT-'" $)
Sg32 $( b"ksym_Lbl'-LT-'T'-GT-'" $)
Sg33 $( b"ksym_Lbl'-LT-'k'-GT-'" $)
Sg34 $( b"ksym_Lbl'Hash'freezer'UndsEqlsUndsSClnUnds'IMP-SYNTAX'Unds'Stmt'Unds'Id'Unds'AExp1'Unds'" $)
Sg35 $( b'forall_2' $)
Sg37 $( b'forall_3' $)
Sg4 $( b'transferAmount' $)
Sg5 $( b'ksym_dotk' $)
Sg6 $( b'ksort_SortBool' $)
Sg8 $( b"ksym_LblnotBool'Unds'" $)
Sg9 $( b'true' $)
$.
$v ph2 x0 x2 x3 x4 x100 $.
ph2-is-pattern $f #Pattern ph2 $.
x0-is-element-var $f #ElementVariable x0 $.
x2-is-element-var $f #ElementVariable x2 $.
x3-is-element-var $f #ElementVariable x3 $.
x4-is-element-var $f #ElementVariable x4 $.
x100-is-element-var $f #ElementVariable x100 $.
ax_enforced_stub_140 $a |- ( \imp ( \exists x100 ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \imp ( Sg37 ( \kore-for-sorted-pattern Sg21 x3 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) x3 ) x4 ) ) ) ) ) x3 ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ) ) ) ) ) ) $.
${
ax_enforced_stub_173.0 $e |- ( \imp ( \exists x100 ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \imp ( Sg37 ( \kore-for-sorted-pattern Sg21 x3 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) x3 ) x4 ) ) ) ) ) x3 ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ) ) ) ) ) ) $.
ax_enforced_stub_173.1 $e |- ( \exists x100 ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) $.
ax_enforced_stub_173 $a |- ( \imp ( Sg37 ( \kore-for-sorted-pattern Sg21 x3 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) x3 ) x4 ) ) ) ) ) x3 ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ) ) ) ) ) $.
$}
ax_enforced_stub_174 $a |- ( \imp ( \exists x100 ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \imp ( Sg35 ( \kore-for-sorted-pattern Sg13 x2 ( \kore-forall x0 Sg21 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) x2 ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) x2 ) ) ) x3 ) x4 ) ) ) ) ) ) x2 ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \kore-forall x0 Sg21 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) x3 ) x4 ) ) ) ) ) ) ) ) $.
${
ax_enforced_stub_207.0 $e |- ( \imp ( \exists x100 ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \imp ( Sg35 ( \kore-for-sorted-pattern Sg13 x2 ( \kore-forall x0 Sg21 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) x2 ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) x2 ) ) ) x3 ) x4 ) ) ) ) ) ) x2 ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \kore-forall x0 Sg21 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) x3 ) x4 ) ) ) ) ) ) ) ) $.
ax_enforced_stub_207.1 $e |- ( \exists x100 ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) $.
ax_enforced_stub_207 $a |- ( \imp ( Sg35 ( \kore-for-sorted-pattern Sg13 x2 ( \kore-forall x0 Sg21 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) x2 ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) x2 ) ) ) x3 ) x4 ) ) ) ) ) ) x2 ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \kore-forall x0 Sg21 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) x3 ) x4 ) ) ) ) ) ) ) $.
$}
${
ax_enforced_stub_315.0 $e |- ( \imp ( Sg35 ( \kore-for-sorted-pattern Sg13 x2 ( \kore-forall x0 Sg21 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) x2 ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) x2 ) ) ) x3 ) x4 ) ) ) ) ) ) x2 ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \kore-forall x0 Sg21 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) x3 ) x4 ) ) ) ) ) ) ) $.
ax_enforced_stub_315.1 $e |- ( \kore-forall x0 Sg13 ( \kore-forall x0 Sg21 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) x2 ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) x2 ) ) ) x3 ) x4 ) ) ) ) ) ) $.
ax_enforced_stub_315 $a |- ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \kore-forall x0 Sg21 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) x3 ) x4 ) ) ) ) ) ) $.
$}
ax_enforced_stub_316 $a |- ( \imp ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \imp ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ( \imp ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ) $.
ax_enforced_stub_317 $a |- ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \imp ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) $.
${
ax_enforced_stub_318.0 $e |- ( \imp ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \imp ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ( \imp ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ) $.
ax_enforced_stub_318.1 $e |- ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \imp ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) $.
ax_enforced_stub_318 $a |- ( \imp ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) $.
$}
ax_enforced_stub_319 $a |- ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) $.
${
ax_enforced_stub_320.0 $e |- ( \imp ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) $.
ax_enforced_stub_320.1 $e |- ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) $.
ax_enforced_stub_320 $a |- ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) $.
$}
${
ax_enforced_stub_321.0 $e |- ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) $.
ax_enforced_stub_321 $a |- ( \imp ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) $.
$}
ax_enforced_stub_322 $a |- ( \imp ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ) ( \imp ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ) ) $.
ax_enforced_stub_323 $a |- ( \imp ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ) ) $.
ax_enforced_stub_324 $a |- ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) $.
${
ax_enforced_stub_325.0 $e |- ( \imp ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ) ) $.
ax_enforced_stub_325.1 $e |- ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) $.
ax_enforced_stub_325 $a |- ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ) $.
$}
${
ax_enforced_stub_326.0 $e |- ( \imp ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ) ( \imp ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ) ) $.
ax_enforced_stub_326.1 $e |- ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ) $.
ax_enforced_stub_326 $a |- ( \imp ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ) $.
$}
ax_enforced_stub_327 $a |- ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) $.
${
ax_enforced_stub_328.0 $e |- ( \imp ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) ) $.
ax_enforced_stub_328.1 $e |- ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) $.
ax_enforced_stub_328 $a |- ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) $.
$}
${
ax_enforced_stub_329.0 $e |- ( \imp ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) $.
ax_enforced_stub_329 $a |- ( \imp ( \exists x100 ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) $.
$}
ax_enforced_stub_330 $a |- ( \kore-functional x0 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ph2 ) $.
${
ax_enforced_stub_331.0 $e |- ( \imp ( \exists x100 ( \kore-and ( \in-sort x100 Sg13 ) ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) ) ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ) $.
ax_enforced_stub_331.1 $e |- ( \kore-functional x0 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ph2 ) $.
ax_enforced_stub_331 $a |- ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) $.
$}
${
ax_enforced_stub_332.0 $e |- ( \imp ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) $.
ax_enforced_stub_332.1 $e |- ( \exists x100 ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) ) $.
ax_enforced_stub_332 $a |- ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) $.
$}
${
ax_enforced_stub_333.0 $e |- ( \kore-for-sorted-pattern Sg13 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ( \kore-forall x0 Sg21 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) x3 ) x4 ) ) ) ) ) ) $.
ax_enforced_stub_333.1 $e |- ( \in-sort ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) Sg13 ) $.
ax_enforced_stub_333 $a |- ( \kore-forall x0 Sg21 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) x3 ) x4 ) ) ) ) ) $.
$}
${
ax_enforced_stub_334.0 $e |- ( \imp ( Sg37 ( \kore-for-sorted-pattern Sg21 x3 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) x3 ) x4 ) ) ) ) ) x3 ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ) ) ) ) ) $.
ax_enforced_stub_334.1 $e |- ( \kore-forall x0 Sg21 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) x3 ) x4 ) ) ) ) ) $.
ax_enforced_stub_334 $a |- ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ) ) ) ) $.
$}
ax_enforced_stub_335 $a |- ( \imp ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \imp ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ( \imp ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ) $.
ax_enforced_stub_336 $a |- ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \imp ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) $.
${
ax_enforced_stub_337.0 $e |- ( \imp ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \imp ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ( \imp ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ) $.
ax_enforced_stub_337.1 $e |- ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \imp ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) $.
ax_enforced_stub_337 $a |- ( \imp ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) $.
$}
ax_enforced_stub_338 $a |- ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) $.
${
ax_enforced_stub_339.0 $e |- ( \imp ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) $.
ax_enforced_stub_339.1 $e |- ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) $.
ax_enforced_stub_339 $a |- ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) $.
$}
${
ax_enforced_stub_340.0 $e |- ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) $.
ax_enforced_stub_340 $a |- ( \imp ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) $.
$}
ax_enforced_stub_341 $a |- ( \imp ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ) ( \imp ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ) ) $.
ax_enforced_stub_342 $a |- ( \imp ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ) ) $.
ax_enforced_stub_343 $a |- ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) $.
${
ax_enforced_stub_344.0 $e |- ( \imp ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ) ) $.
ax_enforced_stub_344.1 $e |- ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) $.
ax_enforced_stub_344 $a |- ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ) $.
$}
${
ax_enforced_stub_345.0 $e |- ( \imp ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ) ( \imp ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ) ) $.
ax_enforced_stub_345.1 $e |- ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ) $.
ax_enforced_stub_345 $a |- ( \imp ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ) $.
$}
ax_enforced_stub_346 $a |- ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) $.
${
ax_enforced_stub_347.0 $e |- ( \imp ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) ) $.
ax_enforced_stub_347.1 $e |- ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) $.
ax_enforced_stub_347 $a |- ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) $.
$}
${
ax_enforced_stub_348.0 $e |- ( \imp ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) $.
ax_enforced_stub_348 $a |- ( \imp ( \exists x100 ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) $.
$}
ax_enforced_stub_349 $a |- ( \kore-functional x0 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ph2 ) $.
${
ax_enforced_stub_350.0 $e |- ( \imp ( \exists x100 ( \kore-and ( \in-sort x100 Sg21 ) ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) ) ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ) $.
ax_enforced_stub_350.1 $e |- ( \kore-functional x0 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ph2 ) $.
ax_enforced_stub_350 $a |- ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) $.
$}
${
ax_enforced_stub_351.0 $e |- ( \imp ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) $.
ax_enforced_stub_351.1 $e |- ( \exists x100 ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) ) $.
ax_enforced_stub_351 $a |- ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) $.
$}
${
ax_enforced_stub_352.0 $e |- ( \kore-for-sorted-pattern Sg21 ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ) ) ) ) $.
ax_enforced_stub_352.1 $e |- ( \in-sort ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) Sg21 ) $.
ax_enforced_stub_352 $a |- ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ) ) ) $.
$}
${
tm_0_9.0 $e |- ( \exists x100 ( \equals ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) x100 ) ) $.
tm_0_9.1 $e |- ( \exists x100 ( \equals ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) x100 ) ) $.
tm_0_9.2 $e |- ( \kore-forall x0 Sg13 ( \kore-forall x0 Sg21 ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) x2 ) ) x3 ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) x2 ) ) ) x3 ) x4 ) ) ) ) ) ) $.
tm_0_9 $p |- ( \kore-forall x0 Sg29 ( \kore-valid Sg11 ( \kore-rewrites Sg11 ( \kore-and ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg3 ) ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ( \kore-equals Sg6 Sg11 ( Sg10 ( \kore-dv Sg6 Sg9 ) ( Sg8 ( Sg0 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) Sg5 ) ) ) ) ( \kore-dv Sg6 Sg9 ) ) ) ( Sg31 ( Sg32 ( Sg33 ( \kore-kseq ( Sg1 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg2 Sg4 ) ) ( \kore-kseq ( Sg34 ( \kore-kseq ( \kore-dv Sg2 Sg3 ) Sg5 ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg16 ) ( Sg17 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg2 Sg4 ) ) ) ( \kore-kseq ( Sg15 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg20 ) ) Sg5 ) ) ) ) ) ( Sg22 ( Sg23 ( Sg23 ( Sg23 ( Sg24 ( \kore-dv Sg2 Sg18 ) ( \kore-dv Sg19 Sg25 ) ) ( Sg24 ( \kore-dv Sg2 Sg4 ) ( \kore-dv Sg19 Sg26 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg16 ) ( \kore-dv Sg19 Sg27 ) ) ) ( Sg24 ( \kore-dv Sg2 Sg3 ) ( \kore-dv Sg19 Sg28 ) ) ) ) ) x4 ) ) ) ) $=
( ph2-is-pattern ax_enforced_stub_140 ax_enforced_stub_173 ax_enforced_stub_174 ax_enforced_stub_207 ax_enforced_stub_315 ax_enforced_stub_316 ax_enforced_stub_317 ax_enforced_stub_318 ax_enforced_stub_319 ax_enforced_stub_320 ax_enforced_stub_321 ax_enforced_stub_322 ax_enforced_stub_323 ax_enforced_stub_324 ax_enforced_stub_325 ax_enforced_stub_326 ax_enforced_stub_327 ax_enforced_stub_328 ax_enforced_stub_329 ax_enforced_stub_330 ax_enforced_stub_331 ax_enforced_stub_332 ax_enforced_stub_333 ax_enforced_stub_334 ax_enforced_stub_335 ax_enforced_stub_336 ax_enforced_stub_337 ax_enforced_stub_338 ax_enforced_stub_339 ax_enforced_stub_340 ax_enforced_stub_341 ax_enforced_stub_342 ax_enforced_stub_343 ax_enforced_stub_344 ax_enforced_stub_345 ax_enforced_stub_346 ax_enforced_stub_347 ax_enforced_stub_348 ax_enforced_stub_349 ax_enforced_stub_350 ax_enforced_stub_351 ax_enforced_stub_352 )
ADACDACDEACDEJFKACDABCDABCDEABCDELGMHNEEOPQRSTIAEEEEEUAEEUBEUCUDUEEUFUG
UHIAUIUJUKULUMEEUNUOUPUQURUSIAEEEEEUTEEVAEVBVCVDEVEVFVGIAVHVIVJVK
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$}
$( 25.erc20transfer_success_tm_0_9 End $)