Termination of the given JBC could be disproven:

(0) Obligation:

JBC Problem based on JBC Program:
Manifest-Version: 1.0 Created-By: 1.6.0_26 (Sun Microsystems Inc.) Main-Class: simple/whileNested/Main

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:

<simple.whileNested.Main.main||0: load ADDR args||args: a184|| ->
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a182
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o92!: String$CaseInsensitiveComparator()
	a182([java.io.ObjectStreamField|]): length 0
	a184([java.lang.String...]): length 1

1:

<simple.whileNested.Main.main||1: arraylength|| - ||a184>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a182
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o92!: String$CaseInsensitiveComparator()
	a182([java.io.ObjectStreamField|]): length 0
	a184([java.lang.String...]): length 1

2:

<simple.whileNested.Main.main||2: simple.whileNested.WhileNested.increase(I)V|| - ||1>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a182
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o92!: String$CaseInsensitiveComparator()
	a182([java.io.ObjectStreamField|]): length 0
	a184([java.lang.String...]): length 1

3:

<simple.whileNested.WhileNested.increase||0: load INT i||i: 1|| ->
<simple.whileNested.Main.main||2: simple.whileNested.WhileNested.increase|| - ||1>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a182
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o92!: String$CaseInsensitiveComparator()
	a182([java.io.ObjectStreamField|]): length 0
	a184([java.lang.String...]): length 1

4:

<simple.whileNested.WhileNested.increase||1: push 10||i: 1||1>
<simple.whileNested.Main.main||2: simple.whileNested.WhileNested.increase|| - ||1>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a182
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o92!: String$CaseInsensitiveComparator()
	a182([java.io.ObjectStreamField|]): length 0
	a184([java.lang.String...]): length 1

5:

<simple.whileNested.WhileNested.increase||3: GE||i: 1||1, 10>
<simple.whileNested.Main.main||2: simple.whileNested.WhileNested.increase|| - ||1>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a182
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o92!: String$CaseInsensitiveComparator()
	a182([java.io.ObjectStreamField|]): length 0
	a184([java.lang.String...]): length 1

6:

<simple.whileNested.WhileNested.increase||6: load INT i||i: 1|| ->
<simple.whileNested.Main.main||2: simple.whileNested.WhileNested.increase|| - ||1>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a182
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o92!: String$CaseInsensitiveComparator()
	a182([java.io.ObjectStreamField|]): length 0
	a184([java.lang.String...]): length 1

7:

<simple.whileNested.WhileNested.increase||7: store INT to j||i: 1||1>
<simple.whileNested.Main.main||2: simple.whileNested.WhileNested.increase|| - ||1>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a182
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o92!: String$CaseInsensitiveComparator()
	a182([java.io.ObjectStreamField|]): length 0
	a184([java.lang.String...]): length 1

8:

<simple.whileNested.WhileNested.increase||8: load INT j||i: 1, j: 1|| ->
<simple.whileNested.Main.main||2: simple.whileNested.WhileNested.increase|| - ||1>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a182
	String.CASE_INSENSITIVE_ORDER: o92
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o92!: String$CaseInsensitiveComparator()
	a182([java.io.ObjectStreamField|]): length 0
	a184([java.lang.String...]): length 1

In the loop head node, references [i89] were interesting.
By SMT, we could prove
((0 <= initial_i36 and initial_i36 <= 9 and 0 <= initial_i89 and 0 <= initial_i16) and (((path1_i89 = path1_i105 and path1_i107 = (path1_i105 + 1) and path1_i36 = res_i36 and path1_i107 = res_i89 and path1_i16 = res_i16 and path1_i36 = initial_i36 and path1_i89 = initial_i89 and path1_i16 = initial_i16) and path1_i105 > 0) and ((res_i89 = res_i105 and res_i107 = (res_i105 + 1)) and !res_i105 > 0)))
to be UNSAT. Consequently, the loop will not terminate.

(2) NO