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/alternDivWide/Main

package simple.alternDivWide;

public class AlternDivWide {

	public static void loop(int i) {
		int w = 5;
		while (i != 0) {
			if (i < -w) {
				i--;
				i = i*(-1);
			} else {
				if (i > w) {
					i++;
					i = i*(-1);
				} else {
					i = 0;
				}
			}
		}
	}
}


package simple.alternDivWide;

public class Main {

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

	}

}

(1) JBCNonTerm (EQUIVALENT transformation)

Reached a loop using the following run:
0:

<simple.alternDivWide.Main.main||0: load ADDR args||args: a134|| ->
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a132
	String.CASE_INSENSITIVE_ORDER: o67
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o67!: String$CaseInsensitiveComparator()
	a132([java.io.ObjectStreamField|]): length 0
	a134([java.lang.String...]): length 6

1:

<simple.alternDivWide.Main.main||1: arraylength|| - ||a134>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a132
	String.CASE_INSENSITIVE_ORDER: o67
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o67!: String$CaseInsensitiveComparator()
	a132([java.io.ObjectStreamField|]): length 0
	a134([java.lang.String...]): length 6

2:

<simple.alternDivWide.Main.main||2: simple.alternDivWide.AlternDivWide.loop(I)V|| - ||6>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a132
	String.CASE_INSENSITIVE_ORDER: o67
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o67!: String$CaseInsensitiveComparator()
	a132([java.io.ObjectStreamField|]): length 0
	a134([java.lang.String...]): length 6

3:

<simple.alternDivWide.AlternDivWide.loop||0: push 5||i: 6|| ->
<simple.alternDivWide.Main.main||2: simple.alternDivWide.AlternDivWide.loop|| - ||6>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a132
	String.CASE_INSENSITIVE_ORDER: o67
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o67!: String$CaseInsensitiveComparator()
	a132([java.io.ObjectStreamField|]): length 0
	a134([java.lang.String...]): length 6

4:

<simple.alternDivWide.AlternDivWide.loop||1: store INT to w||i: 6||5>
<simple.alternDivWide.Main.main||2: simple.alternDivWide.AlternDivWide.loop|| - ||6>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a132
	String.CASE_INSENSITIVE_ORDER: o67
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o67!: String$CaseInsensitiveComparator()
	a132([java.io.ObjectStreamField|]): length 0
	a134([java.lang.String...]): length 6

5:

<simple.alternDivWide.AlternDivWide.loop||2: load INT i||i: 6, w: 5|| ->
<simple.alternDivWide.Main.main||2: simple.alternDivWide.AlternDivWide.loop|| - ||6>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a132
	String.CASE_INSENSITIVE_ORDER: o67
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o67!: String$CaseInsensitiveComparator()
	a132([java.io.ObjectStreamField|]): length 0
	a134([java.lang.String...]): length 6

In the loop head node, references [i104, iconst_5] were interesting.
By SMT, we could prove
(0 <= initial_i14 and ((((path1_i104 = path1_i107 and -5 = (-1 * 5) and path1_i107 = path1_i112 and path1_i114 = (path1_i112 + -1) and path1_i119 = (path1_i114 * -1) and path1_i119 = res_i104 and path1_i14 = res_i14 and path1_i104 = initial_i104 and path1_i14 = initial_i14) and (path1_i107 != 0 and path1_i112 < -5)) or ((path3_i104 = path3_i107 and -5 = (-1 * 5) and path3_i107 = path3_i113 and path3_i113 = path3_i118 and path3_i120 = (path3_i118 + 1) and path3_i305 = (path3_i120 * -1) and path3_i305 = res_i104 and path3_i14 = res_i14 and path3_i104 = initial_i104 and path3_i14 = initial_i14) and (path3_i107 != 0 and path3_i113 >= -5 and path3_i118 > 5)) or ((path1_i104 = path1_i107 and -5 = (-1 * 5) and path1_i107 = path1_i112 and path1_i114 = (path1_i112 + -1) and path1_i119 = (path1_i114 * -1) and path1_i119 = res_i104 and path1_i14 = res_i14 and path1_i104 = initial_i104 and path1_i14 = initial_i14) and (path1_i112 < -5 and path1_i107 < 0)) or ((path1_i104 = path1_i107 and -5 = (-1 * 5) and path1_i107 = path1_i112 and path1_i114 = (path1_i112 + -1) and path1_i119 = (path1_i114 * -1) and path1_i119 = res_i104 and path1_i14 = res_i14 and path1_i104 = initial_i104 and path1_i14 = initial_i14) and (path1_i112 < -5 and path1_i107 > 0))) and (((res_i104 = res_i107 and -5 = (-1 * 5) and res_i107 = res_i112 and res_i114 = (res_i112 + -1) and res_i119 = (res_i114 * -1)) and !(res_i107 != 0 and res_i112 < -5)) and ((res_i104 = res_i107 and -5 = (-1 * 5) and res_i107 = res_i113 and res_i113 = res_i118 and res_i120 = (res_i118 + 1) and res_i305 = (res_i120 * -1)) and !(res_i107 != 0 and res_i113 >= -5 and res_i118 > 5)) and ((res_i104 = res_i107 and -5 = (-1 * 5) and res_i107 = res_i112 and res_i114 = (res_i112 + -1) and res_i119 = (res_i114 * -1)) and !(res_i107 != 0 and res_i112 < -5)) and ((res_i104 = res_i107 and -5 = (-1 * 5) and res_i107 = res_i112 and res_i114 = (res_i112 + -1) and res_i119 = (res_i114 * -1)) and !(res_i107 != 0 and res_i112 < -5)))))
to be UNSAT. Consequently, the loop will not terminate.

(2) NO