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/alternDiv/Main

package simple.alternDiv;

public class AlternDiv {

	public static void loop(int i) {
		while (i != 0) {
			if (i < 0) {
				i--;
				i = i*(-1);
			} else {
				i++;
				i = i*(-1);
			}
		}
	}
}


package simple.alternDiv;

public class Main {

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

	}

}

(1) JBCNonTerm (EQUIVALENT transformation)

Reached a loop using the following run:
0:

<simple.alternDiv.Main.main||0: load ADDR args||args: a36|| ->
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a34
	String.CASE_INSENSITIVE_ORDER: o18
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o18!: String$CaseInsensitiveComparator()
	a34([java.io.ObjectStreamField|]): length 0
	a36([java.lang.String...]): length 1

1:

<simple.alternDiv.Main.main||1: arraylength|| - ||a36>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a34
	String.CASE_INSENSITIVE_ORDER: o18
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o18!: String$CaseInsensitiveComparator()
	a34([java.io.ObjectStreamField|]): length 0
	a36([java.lang.String...]): length 1

2:

<simple.alternDiv.Main.main||2: simple.alternDiv.AlternDiv.loop(I)V|| - ||1>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a34
	String.CASE_INSENSITIVE_ORDER: o18
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o18!: String$CaseInsensitiveComparator()
	a34([java.io.ObjectStreamField|]): length 0
	a36([java.lang.String...]): length 1

3:

<simple.alternDiv.AlternDiv.loop||0: load INT i||i: 1|| ->
<simple.alternDiv.Main.main||2: simple.alternDiv.AlternDiv.loop|| - ||1>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a34
	String.CASE_INSENSITIVE_ORDER: o18
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o18!: String$CaseInsensitiveComparator()
	a34([java.io.ObjectStreamField|]): length 0
	a36([java.lang.String...]): length 1

In the loop head node, references [i12] were interesting.
By SMT, we could prove
(0 <= initial_i11 and ((((path1_i12 = path1_i23 and path1_i23 = path1_i29 and path1_i32 = (path1_i29 + -1) and path1_i36 = (path1_i32 * -1) and path1_i36 = res_i12 and path1_i11 = res_i11 and path1_i12 = initial_i12 and path1_i11 = initial_i11) and (path1_i23 != 0 and path1_i29 < 0)) or ((path2_i12 = path2_i23 and path2_i23 = path2_i30 and path2_i33 = (path2_i30 + 1) and path2_i37 = (path2_i33 * -1) and path2_i37 = res_i12 and path2_i11 = res_i11 and path2_i12 = initial_i12 and path2_i11 = initial_i11) and (path2_i23 != 0 and path2_i30 >= 0)) or ((path1_i12 = path1_i23 and path1_i23 = path1_i29 and path1_i32 = (path1_i29 + -1) and path1_i36 = (path1_i32 * -1) and path1_i36 = res_i12 and path1_i11 = res_i11 and path1_i12 = initial_i12 and path1_i11 = initial_i11) and (path1_i29 < 0 and path1_i23 < 0)) or ((path1_i12 = path1_i23 and path1_i23 = path1_i29 and path1_i32 = (path1_i29 + -1) and path1_i36 = (path1_i32 * -1) and path1_i36 = res_i12 and path1_i11 = res_i11 and path1_i12 = initial_i12 and path1_i11 = initial_i11) and (path1_i29 < 0 and path1_i23 > 0)) or ((path2_i12 = path2_i23 and path2_i23 = path2_i30 and path2_i33 = (path2_i30 + 1) and path2_i37 = (path2_i33 * -1) and path2_i37 = res_i12 and path2_i11 = res_i11 and path2_i12 = initial_i12 and path2_i11 = initial_i11) and (path2_i30 >= 0 and path2_i23 < 0)) or ((path2_i12 = path2_i23 and path2_i23 = path2_i30 and path2_i33 = (path2_i30 + 1) and path2_i37 = (path2_i33 * -1) and path2_i37 = res_i12 and path2_i11 = res_i11 and path2_i12 = initial_i12 and path2_i11 = initial_i11) and (path2_i30 >= 0 and path2_i23 > 0))) and (((res_i12 = res_i23 and res_i23 = res_i29 and res_i32 = (res_i29 + -1) and res_i36 = (res_i32 * -1)) and !(res_i23 != 0 and res_i29 < 0)) and ((res_i12 = res_i23 and res_i23 = res_i30 and res_i33 = (res_i30 + 1) and res_i37 = (res_i33 * -1)) and !(res_i23 != 0 and res_i30 >= 0)) and ((res_i12 = res_i23 and res_i23 = res_i29 and res_i32 = (res_i29 + -1) and res_i36 = (res_i32 * -1)) and !(res_i23 != 0 and res_i29 < 0)) and ((res_i12 = res_i23 and res_i23 = res_i29 and res_i32 = (res_i29 + -1) and res_i36 = (res_i32 * -1)) and !(res_i23 != 0 and res_i29 < 0)) and ((res_i12 = res_i23 and res_i23 = res_i30 and res_i33 = (res_i30 + 1) and res_i37 = (res_i33 * -1)) and !(res_i23 != 0 and res_i30 >= 0)) and ((res_i12 = res_i23 and res_i23 = res_i30 and res_i33 = (res_i30 + 1) and res_i37 = (res_i33 * -1)) and !(res_i23 != 0 and res_i30 >= 0)))))
to be UNSAT. Consequently, the loop will not terminate.

(2) NO