Termination of the given JBC could be disproven:

(0) Obligation:

JBC Problem based on JBC Program:

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:

java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a33(lv_0_0)]
<simple.alternDiv.Main.main||0: load ADDR args||args: a33|| ->
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a35
	String.CASE_INSENSITIVE_ORDER: o18
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i116: [0,+inf)(1){0,+inf}
	a33([java.lang.String...]): length i116
	a35([java.io.ObjectStreamField|]): length iconst_0
	o18!: String$CaseInsensitiveComparator()
Relations: 

1:

java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a33(lv_0_0)]
<simple.alternDiv.Main.main||1: arraylength|| - ||a33>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a35
	String.CASE_INSENSITIVE_ORDER: o18
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i116: [0,+inf)(1){0,+inf}
	a33([java.lang.String...]): length i116
	a35([java.io.ObjectStreamField|]): length iconst_0
	o18!: String$CaseInsensitiveComparator()
Relations: 

2:

java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a33(lv_0_0)]
<simple.alternDiv.Main.main||2: simple.alternDiv.AlternDiv.loop(I)V|| - ||i116>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a35
	String.CASE_INSENSITIVE_ORDER: o18
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i116: [0,+inf)(1){0,+inf}
	a33([java.lang.String...]): length i116
	a35([java.io.ObjectStreamField|]): length iconst_0
	o18!: String$CaseInsensitiveComparator()
Relations: 

3:

<simple.alternDiv.AlternDiv.loop||0: load INT i||i: i116|| ->
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a33(lv_0_0)]
<simple.alternDiv.Main.main||2: simple.alternDiv.AlternDiv.loop|| - ||i116>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a35
	String.CASE_INSENSITIVE_ORDER: o18
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i116: [0,+inf)(1){0,+inf}
	a33([java.lang.String...]): length i116
	a35([java.io.ObjectStreamField|]): length iconst_0
	o18!: String$CaseInsensitiveComparator()
Relations: 

Start state of loop:

<simple.alternDiv.AlternDiv.loop||0: load INT i||i: i10|| ->
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a6(lv_0_0)]
<simple.alternDiv.Main.main||2: simple.alternDiv.AlternDiv.loop|| - ||i11>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a5
	String.CASE_INSENSITIVE_ORDER: o3
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	a5([java.io.ObjectStreamField|]): length iconst_0
	o3!: String$CaseInsensitiveComparator()
	i10: #I{-inf,+inf}
	i11: [0,+inf)(1){0,+inf}
	a6([java.lang.String...]): length i11
Relations: 

In the loop head node, references [i10] were interesting.
By SMT, we could prove
(0 <= initial_i11 and ((((path1_i10 = path1_i20 and path1_i20 = path1_i25 and path1_i28 = (path1_i25 + -1) and path1_i31 = (path1_i28 * -1) and path1_i31 = res_i10 and path1_i11 = res_i11 and path1_i10 = initial_i10 and path1_i11 = initial_i11) and (path1_i20 != 0 and path1_i25 < 0)) or ((path2_i10 = path2_i20 and path2_i20 = path2_i26 and path2_i30 = (path2_i26 + 1) and path2_i33 = (path2_i30 * -1) and path2_i33 = res_i10 and path2_i11 = res_i11 and path2_i10 = initial_i10 and path2_i11 = initial_i11) and (path2_i20 != 0 and path2_i26 >= 0)) or ((path1_i10 = path1_i20 and path1_i20 = path1_i25 and path1_i28 = (path1_i25 + -1) and path1_i31 = (path1_i28 * -1) and path1_i31 = res_i10 and path1_i11 = res_i11 and path1_i10 = initial_i10 and path1_i11 = initial_i11) and (path1_i25 < 0 and path1_i20 < 0)) or ((path1_i10 = path1_i20 and path1_i20 = path1_i25 and path1_i28 = (path1_i25 + -1) and path1_i31 = (path1_i28 * -1) and path1_i31 = res_i10 and path1_i11 = res_i11 and path1_i10 = initial_i10 and path1_i11 = initial_i11) and (path1_i25 < 0 and path1_i20 > 0)) or ((path2_i10 = path2_i20 and path2_i20 = path2_i26 and path2_i30 = (path2_i26 + 1) and path2_i33 = (path2_i30 * -1) and path2_i33 = res_i10 and path2_i11 = res_i11 and path2_i10 = initial_i10 and path2_i11 = initial_i11) and (path2_i26 >= 0 and path2_i20 < 0)) or ((path2_i10 = path2_i20 and path2_i20 = path2_i26 and path2_i30 = (path2_i26 + 1) and path2_i33 = (path2_i30 * -1) and path2_i33 = res_i10 and path2_i11 = res_i11 and path2_i10 = initial_i10 and path2_i11 = initial_i11) and (path2_i26 >= 0 and path2_i20 > 0))) and (((res_i10 = res_i20 and res_i20 = res_i25 and res_i28 = (res_i25 + -1) and res_i31 = (res_i28 * -1)) and !(res_i20 != 0 and res_i25 < 0)) and ((res_i10 = res_i20 and res_i20 = res_i26 and res_i30 = (res_i26 + 1) and res_i33 = (res_i30 * -1)) and !(res_i20 != 0 and res_i26 >= 0)) and ((res_i10 = res_i20 and res_i20 = res_i25 and res_i28 = (res_i25 + -1) and res_i31 = (res_i28 * -1)) and !(res_i20 != 0 and res_i25 < 0)) and ((res_i10 = res_i20 and res_i20 = res_i25 and res_i28 = (res_i25 + -1) and res_i31 = (res_i28 * -1)) and !(res_i20 != 0 and res_i25 < 0)) and ((res_i10 = res_i20 and res_i20 = res_i26 and res_i30 = (res_i26 + 1) and res_i33 = (res_i30 * -1)) and !(res_i20 != 0 and res_i26 >= 0)) and ((res_i10 = res_i20 and res_i20 = res_i26 and res_i30 = (res_i26 + 1) and res_i33 = (res_i30 * -1)) and !(res_i20 != 0 and res_i26 >= 0)))))
to be UNSAT. Consequently, the loop will not terminate.

(2) NO