Termination of the given JBC could be disproven:

(0) Obligation:

JBC Problem based on JBC Program:

package simple.alternDivWidening;

public class AlternDivWidening {

	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;
				}
			}
			w++;
		}
	}
}


package simple.alternDivWidening;

public class Main {

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

	}

}

(1) JBCNonTerm (EQUIVALENT transformation)

Reached a loop using the following run:
0:

java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a147(lv_0_0)]
<simple.alternDivWidening.Main.main||0: load ADDR args||args: a147|| ->
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a149
	String.CASE_INSENSITIVE_ORDER: o78
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i256: [0,+inf)(4){0,+inf}
	a147([java.lang.String...]): length i256
	a149([java.io.ObjectStreamField|]): length iconst_0
	o78!: String$CaseInsensitiveComparator()
Relations: 

1:

java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a147(lv_0_0)]
<simple.alternDivWidening.Main.main||1: arraylength|| - ||a147>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a149
	String.CASE_INSENSITIVE_ORDER: o78
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i256: [0,+inf)(4){0,+inf}
	a147([java.lang.String...]): length i256
	a149([java.io.ObjectStreamField|]): length iconst_0
	o78!: String$CaseInsensitiveComparator()
Relations: 

2:

java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a147(lv_0_0)]
<simple.alternDivWidening.Main.main||2: simple.alternDivWidening.AlternDivWidening.loop(I)V|| - ||i256>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a149
	String.CASE_INSENSITIVE_ORDER: o78
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i256: [0,+inf)(4){0,+inf}
	a147([java.lang.String...]): length i256
	a149([java.io.ObjectStreamField|]): length iconst_0
	o78!: String$CaseInsensitiveComparator()
Relations: 

3:

<simple.alternDivWidening.AlternDivWidening.loop||0: push 5||i: i256|| ->
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a147(lv_0_0)]
<simple.alternDivWidening.Main.main||2: simple.alternDivWidening.AlternDivWidening.loop|| - ||i256>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a149
	String.CASE_INSENSITIVE_ORDER: o78
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i256: [0,+inf)(4){0,+inf}
	a147([java.lang.String...]): length i256
	a149([java.io.ObjectStreamField|]): length iconst_0
	o78!: String$CaseInsensitiveComparator()
Relations: 

4:

<simple.alternDivWidening.AlternDivWidening.loop||1: store INT to w||i: i256||iconst_5>
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a147(lv_0_0)]
<simple.alternDivWidening.Main.main||2: simple.alternDivWidening.AlternDivWidening.loop|| - ||i256>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a149
	String.CASE_INSENSITIVE_ORDER: o78
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i256: [0,+inf)(4){0,+inf}
	a147([java.lang.String...]): length i256
	a149([java.io.ObjectStreamField|]): length iconst_0
	o78!: String$CaseInsensitiveComparator()
Relations: 

5:

<simple.alternDivWidening.AlternDivWidening.loop||2: load INT i||i: i256, w: iconst_5|| ->
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a147(lv_0_0)]
<simple.alternDivWidening.Main.main||2: simple.alternDivWidening.AlternDivWidening.loop|| - ||i256>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a149
	String.CASE_INSENSITIVE_ORDER: o78
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	i256: [0,+inf)(4){0,+inf}
	a147([java.lang.String...]): length i256
	a149([java.io.ObjectStreamField|]): length iconst_0
	o78!: String$CaseInsensitiveComparator()
Relations: 

Start state of loop:

<simple.alternDivWidening.AlternDivWidening.loop||2: load INT i||i: i141, w: i142|| ->
java.lang.String = serialPersistentFields, CASE_INSENSITIVE_ORDER
[a68(lv_0_0)]
<simple.alternDivWidening.Main.main||2: simple.alternDivWidening.AlternDivWidening.loop|| - ||i16>
	String.serialVersionUID: iconstLong_-6849794470754667710
	String.serialPersistentFields: a67
	String.CASE_INSENSITIVE_ORDER: o37
	String$CaseInsensitiveComparator.serialVersionUID: iconstLong_8575799808933029326
	RuntimeException.serialVersionUID: iconstLong_-7034897190745766939
	Exception.serialVersionUID: iconstLong_-3387516993124229948
	Throwable.serialVersionUID: iconstLong_-3042686055658047285
	a67([java.io.ObjectStreamField|]): length iconst_0
	o37!: String$CaseInsensitiveComparator()
	i141: #I{-inf,+inf}
	i142: #I{-inf,+inf}
	i16: [0,+inf)(1){0,+inf}
	a68([java.lang.String...]): length i16
Relations: 

In the loop head node, references [i141, i142] were interesting.
By SMT, we could prove
(0 <= initial_i16 and ((((path1_i141 = path1_i146 and path1_i149 = (-1 * path1_i142) and path1_i150 = (path1_i146 + -1) and path1_i151 = (path1_i150 * -1) and path1_i157 = (path1_i142 + 1) and path1_i151 = res_i141 and path1_i157 = res_i142 and path1_i16 = res_i16 and path1_i141 = initial_i141 and path1_i142 = initial_i142 and path1_i16 = initial_i16) and (path1_i146 != 0 and path1_i146 < path1_i149)) or ((path2_i141 = path2_i146 and path2_i149 = (-1 * path2_i142) and 0 = path2_i151 and path2_i157 = (path2_i142 + 1) and path2_i151 = res_i141 and path2_i157 = res_i142 and path2_i16 = res_i16 and path2_i141 = initial_i141 and path2_i142 = initial_i142 and path2_i16 = initial_i16) and (path2_i146 != 0 and path2_i146 >= path2_i149 and path2_i146 <= path2_i142)) or ((path1_i141 = path1_i146 and path1_i149 = (-1 * path1_i142) and path1_i150 = (path1_i146 + -1) and path1_i151 = (path1_i150 * -1) and path1_i157 = (path1_i142 + 1) and path1_i151 = res_i141 and path1_i157 = res_i142 and path1_i16 = res_i16 and path1_i141 = initial_i141 and path1_i142 = initial_i142 and path1_i16 = initial_i16) and (path1_i146 < path1_i149 and path1_i146 < 0)) or ((path1_i141 = path1_i146 and path1_i149 = (-1 * path1_i142) and path1_i150 = (path1_i146 + -1) and path1_i151 = (path1_i150 * -1) and path1_i157 = (path1_i142 + 1) and path1_i151 = res_i141 and path1_i157 = res_i142 and path1_i16 = res_i16 and path1_i141 = initial_i141 and path1_i142 = initial_i142 and path1_i16 = initial_i16) and (path1_i146 < path1_i149 and path1_i146 > 0)) or ((path2_i141 = path2_i146 and path2_i149 = (-1 * path2_i142) and 0 = path2_i151 and path2_i157 = (path2_i142 + 1) and path2_i151 = res_i141 and path2_i157 = res_i142 and path2_i16 = res_i16 and path2_i141 = initial_i141 and path2_i142 = initial_i142 and path2_i16 = initial_i16) and (path2_i146 >= path2_i149 and path2_i146 <= path2_i142 and path2_i146 < 0)) or ((path2_i141 = path2_i146 and path2_i149 = (-1 * path2_i142) and 0 = path2_i151 and path2_i157 = (path2_i142 + 1) and path2_i151 = res_i141 and path2_i157 = res_i142 and path2_i16 = res_i16 and path2_i141 = initial_i141 and path2_i142 = initial_i142 and path2_i16 = initial_i16) and (path2_i146 >= path2_i149 and path2_i146 <= path2_i142 and path2_i146 > 0))) and (((res_i141 = res_i146 and res_i149 = (-1 * res_i142) and res_i150 = (res_i146 + -1) and res_i151 = (res_i150 * -1) and res_i157 = (res_i142 + 1)) and !(res_i146 != 0 and res_i146 < res_i149)) and ((res_i141 = res_i146 and res_i149 = (-1 * res_i142) and 0 = res_i151 and res_i157 = (res_i142 + 1)) and !(res_i146 != 0 and res_i146 >= res_i149 and res_i146 <= res_i142)) and ((res_i141 = res_i146 and res_i149 = (-1 * res_i142) and res_i150 = (res_i146 + -1) and res_i151 = (res_i150 * -1) and res_i157 = (res_i142 + 1)) and !(res_i146 != 0 and res_i146 < res_i149)) and ((res_i141 = res_i146 and res_i149 = (-1 * res_i142) and res_i150 = (res_i146 + -1) and res_i151 = (res_i150 * -1) and res_i157 = (res_i142 + 1)) and !(res_i146 != 0 and res_i146 < res_i149)) and ((res_i141 = res_i146 and res_i149 = (-1 * res_i142) and 0 = res_i151 and res_i157 = (res_i142 + 1)) and !(res_i146 != 0 and res_i146 >= res_i149 and res_i146 <= res_i142)) and ((res_i141 = res_i146 and res_i149 = (-1 * res_i142) and 0 = res_i151 and res_i157 = (res_i142 + 1)) and !(res_i146 != 0 and res_i146 >= res_i149 and res_i146 <= res_i142)))))
to be UNSAT. Consequently, the loop will not terminate.

(2) NO