(0) Obligation:

JBC Problem based on JBC Program:
package simple.whileNested;

public class Main {

/**
* @param args
*/
public static void main(String[] args) {
WhileNested.increase(args.length);

}

}


package simple.whileNested;

public class WhileNested {

public static void increase(int i) {
int j;
while (i < 10) {
j = i;
while (j > 0) {
j++;
}
i++;
}
}
}


(1) JBCNonTerm (EQUIVALENT transformation)

Reached a loop using the following run:
0:
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a179(lv_0_0)]
<simple.whileNested.Main.main||0: load ADDR args||args: a179|| ->
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a181
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i224: [0,9](4){0,9}
	a179([java.lang.String...]): length i224
	a181([java.io.ObjectStreamField|]): length iconst_0
	o92!: String$CaseInsensitiveComparator()
Relations: 
1:
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a179(lv_0_0)]
<simple.whileNested.Main.main||1: arraylength|| - ||a179>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a181
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i224: [0,9](4){0,9}
	a179([java.lang.String...]): length i224
	a181([java.io.ObjectStreamField|]): length iconst_0
	o92!: String$CaseInsensitiveComparator()
Relations: 
2:
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a179(lv_0_0)]
<simple.whileNested.Main.main||2: simple.whileNested.WhileNested.increase(I)V|| - ||i224>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a181
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i224: [0,9](4){0,9}
	a179([java.lang.String...]): length i224
	a181([java.io.ObjectStreamField|]): length iconst_0
	o92!: String$CaseInsensitiveComparator()
Relations: 
3:
<simple.whileNested.WhileNested.increase||0: load INT i||i: i224|| ->
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a179(lv_0_0)]
<simple.whileNested.Main.main||2: simple.whileNested.WhileNested.increase|| - ||i224>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a181
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i224: [0,9](4){0,9}
	a179([java.lang.String...]): length i224
	a181([java.io.ObjectStreamField|]): length iconst_0
	o92!: String$CaseInsensitiveComparator()
Relations: 
4:
<simple.whileNested.WhileNested.increase||1: push 10||i: i224||i224>
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a179(lv_0_0)]
<simple.whileNested.Main.main||2: simple.whileNested.WhileNested.increase|| - ||i224>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a181
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i224: [0,9](4){0,9}
	a179([java.lang.String...]): length i224
	a181([java.io.ObjectStreamField|]): length iconst_0
	o92!: String$CaseInsensitiveComparator()
Relations: 
5:
<simple.whileNested.WhileNested.increase||3: GE||i: i224||i224, iconst_10>
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a179(lv_0_0)]
<simple.whileNested.Main.main||2: simple.whileNested.WhileNested.increase|| - ||i224>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a181
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i224: [0,9](4){0,9}
	a179([java.lang.String...]): length i224
	a181([java.io.ObjectStreamField|]): length iconst_0
	o92!: String$CaseInsensitiveComparator()
Relations: 
6:
<simple.whileNested.WhileNested.increase||6: load INT i||i: i224|| ->
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a179(lv_0_0)]
<simple.whileNested.Main.main||2: simple.whileNested.WhileNested.increase|| - ||i224>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a181
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i224: [0,9](4){0,9}
	a179([java.lang.String...]): length i224
	a181([java.io.ObjectStreamField|]): length iconst_0
	o92!: String$CaseInsensitiveComparator()
Relations: 
7:
<simple.whileNested.WhileNested.increase||7: store INT to j||i: i224||i224>
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a179(lv_0_0)]
<simple.whileNested.Main.main||2: simple.whileNested.WhileNested.increase|| - ||i224>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a181
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i224: [0,9](4){0,9}
	a179([java.lang.String...]): length i224
	a181([java.io.ObjectStreamField|]): length iconst_0
	o92!: String$CaseInsensitiveComparator()
Relations: 
8:
<simple.whileNested.WhileNested.increase||8: load INT j||i: i224, j: i224|| ->
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a179(lv_0_0)]
<simple.whileNested.Main.main||2: simple.whileNested.WhileNested.increase|| - ||i224>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a181
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i224: [0,9](4){0,9}
	a179([java.lang.String...]): length i224
	a181([java.io.ObjectStreamField|]): length iconst_0
	o92!: String$CaseInsensitiveComparator()
Relations: 
Start state of loop:
<simple.whileNested.WhileNested.increase||8: load INT j||i: i35, j: i98|| ->
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a60(lv_0_0)]
<simple.whileNested.Main.main||2: simple.whileNested.WhileNested.increase|| - ||i14>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a59
	String.CASE_INSENSITIVE_ORDER: o31
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	a59([java.io.ObjectStreamField|]): length iconst_0
	o31!: String$CaseInsensitiveComparator()
	i35: [0,9](2){0,+inf}
	i98: [0,+inf)(4){0,+inf}
	i14: [0,+inf)(1){0,+inf}
	a60([java.lang.String...]): length i14
Relations: 

In the loop head node, references [i98] were interesting.
By SMT, we could prove
((0 <= initial_i35 and initial_i35 <= 9 and 0 <= initial_i98 and 0 <= initial_i14) and (((path1_i98 = path1_i120 and path1_i123 = (path1_i120 + 1) and path1_i35 = res_i35 and path1_i123 = res_i98 and path1_i14 = res_i14 and path1_i35 = initial_i35 and path1_i98 = initial_i98 and path1_i14 = initial_i14) and path1_i120 > 0) and ((res_i98 = res_i120 and res_i123 = (res_i120 + 1)) and !res_i120 > 0)))
to be UNSAT. Consequently, the loop will not terminate.

(2) NO