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_16 (Sun Microsystems Inc.) Main-Class: TestJulia1

/**
 * Method main() diverges.
 */

public class TestJulia1 {

    private TestJulia1 tail;

    public static void main(String[] args) {
        TestJulia1 tj = new TestJulia1(), old;

        do {
	    old = tj;

            try {
                tj = tj.tail;
		tj.test();
            }
            catch (NullPointerException ee) {
                tj = old;
            }
        }
	while (tj != null);
    }

    private void test() {}
}

(1) JBCNonTerm (EQUIVALENT transformation)

Reached a loop using the following run:
0:

<TestJulia1.main||0: New TestJulia1|| - || ->
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a4
	String.CASE_INSENSITIVE_ORDER: o1
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	a2([java.lang.String...]): length 0
	a4([java.io.ObjectStreamField|]): length 0
	o1!: String$CaseInsensitiveComparator()

1:

<TestJulia1.main||3: DUP|| - ||o50>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a4
	String.CASE_INSENSITIVE_ORDER: o1
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	a2([java.lang.String...]): length 0
	a4([java.io.ObjectStreamField|]): length 0
	o1!: String$CaseInsensitiveComparator()
	o50!: TestJulia1(tail=#)

2:

<TestJulia1.main||4: TestJulia1.<init>()V|| - ||o50, o50>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a4
	String.CASE_INSENSITIVE_ORDER: o1
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	a2([java.lang.String...]): length 0
	a4([java.io.ObjectStreamField|]): length 0
	o1!: String$CaseInsensitiveComparator()
	o50!: TestJulia1(tail=#)

3:

<TestJulia1.<init>||0: load ADDR #0||#0: o50|| ->
<TestJulia1.main||4: TestJulia1.<init>|| - ||o50, o50>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a4
	String.CASE_INSENSITIVE_ORDER: o1
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	a2([java.lang.String...]): length 0
	a4([java.io.ObjectStreamField|]): length 0
	o1!: String$CaseInsensitiveComparator()
	o50!: TestJulia1(tail=#)

4:

<TestJulia1.<init>||1: java.lang.Object.<init>()V|| - ||o50>
<TestJulia1.main||4: TestJulia1.<init>|| - ||o50, o50>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a4
	String.CASE_INSENSITIVE_ORDER: o1
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	a2([java.lang.String...]): length 0
	a4([java.io.ObjectStreamField|]): length 0
	o1!: String$CaseInsensitiveComparator()
	o50!: TestJulia1(tail=#)

5:

<TestJulia1.<init>||4: return|| - || ->
<TestJulia1.main||4: TestJulia1.<init>|| - ||o50, o50>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a4
	String.CASE_INSENSITIVE_ORDER: o1
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	a2([java.lang.String...]): length 0
	a4([java.io.ObjectStreamField|]): length 0
	o1!: String$CaseInsensitiveComparator()
	o50!: TestJulia1(tail=#)

6:

<TestJulia1.main||7: store ADDR to #1|| - ||o50>
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a4
	String.CASE_INSENSITIVE_ORDER: o1
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	a2([java.lang.String...]): length 0
	a4([java.io.ObjectStreamField|]): length 0
	o1!: String$CaseInsensitiveComparator()
	o50!: TestJulia1(tail=#)

7:

<TestJulia1.main||8: load ADDR #1||#1: o50|| ->
	String.serialVersionUID: -6849794470754667710L
	String.serialPersistentFields: a4
	String.CASE_INSENSITIVE_ORDER: o1
	String$CaseInsensitiveComparator.serialVersionUID: 8575799808933029326L
	RuntimeException.serialVersionUID: -7034897190745766939L
	Exception.serialVersionUID: -3387516993124229948L
	Throwable.serialVersionUID: -3042686055658047285L
	a2([java.lang.String...]): length 0
	a4([java.io.ObjectStreamField|]): length 0
	o1!: String$CaseInsensitiveComparator()
	o50!: TestJulia1(tail=#)

In the loop head node, references [] were interesting.
By SMT, we could prove
(0 <= initial_i1 and (((path1_i1 = res_i1 and path1_i1 = initial_i1) and T) and (T and F)))
to be UNSAT. Consequently, the loop will not terminate.

(2) NO