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/alternatingIncr/Main

package simple.alternatingIncr;

public class AlternatingIncr {

	public static void increase(int i) {
		while (i > 0) {
			if (i % 2 == 0) {
				i--;
			} else {
				i = i+3;
			}
		}
	}
}


package simple.alternatingIncr;

public class Main {

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

	}

}

(1) JBCNonTerm (EQUIVALENT transformation)

Reached a loop using the following run:
0:

<simple.alternatingIncr.Main.main||0: load ADDR args||args: a52|| ->
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a50
	String.CASE_INSENSITIVE_ORDER: o26
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o26!: String$CaseInsensitiveComparator()
	a50([java.io.ObjectStreamField|]): length 0
	a52([java.lang.String...]): length 2

1:

<simple.alternatingIncr.Main.main||1: arraylength|| - ||a52>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a50
	String.CASE_INSENSITIVE_ORDER: o26
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o26!: String$CaseInsensitiveComparator()
	a50([java.io.ObjectStreamField|]): length 0
	a52([java.lang.String...]): length 2

2:

<simple.alternatingIncr.Main.main||2: simple.alternatingIncr.AlternatingIncr.increase(I)V|| - ||2>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a50
	String.CASE_INSENSITIVE_ORDER: o26
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o26!: String$CaseInsensitiveComparator()
	a50([java.io.ObjectStreamField|]): length 0
	a52([java.lang.String...]): length 2

3:

<simple.alternatingIncr.AlternatingIncr.increase||0: load INT i||i: 2|| ->
<simple.alternatingIncr.Main.main||2: simple.alternatingIncr.AlternatingIncr.increase|| - ||2>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a50
	String.CASE_INSENSITIVE_ORDER: o26
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	o26!: String$CaseInsensitiveComparator()
	a50([java.io.ObjectStreamField|]): length 0
	a52([java.lang.String...]): length 2

In the loop head node, references [i11, iconst_0] were interesting.
By SMT, we could prove
((0 <= initial_i11 and 0 <= initial_i10) and ((((path1_i11 = path1_i20 and path1_i22 = (path1_i20 % 2) and path1_i25 = (path1_i20 + -1) and path1_i25 = res_i11 and path1_i10 = res_i10 and path1_i11 = initial_i11 and path1_i10 = initial_i10) and (path1_i20 > 0 and path1_i22 = 0 and T)) or ((path2_i11 = path2_i20 and path2_i22 = (path2_i20 % 2) and path2_i29 = (path2_i20 + 3) and path2_i29 = res_i11 and path2_i10 = res_i10 and path2_i11 = initial_i11 and path2_i10 = initial_i10) and (path2_i20 > 0 and path2_i22 = 1 and 1 > 0))) and (((res_i11 = res_i20 and res_i22 = (res_i20 % 2) and res_i25 = (res_i20 + -1)) and !(res_i20 > 0 and res_i22 = 0 and T)) and ((res_i11 = res_i20 and res_i22 = (res_i20 % 2) and res_i29 = (res_i20 + 3)) and !(res_i20 > 0 and res_i22 = 1 and 1 > 0)))))
to be UNSAT. Consequently, the loop will not terminate.

(2) NO