/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.jar /export/starexec/sandbox/output/output_files


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NO
proof of /export/starexec/sandbox/benchmark/theBenchmark.jar
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


termination of the given Bare JBC problem could be disproven:

(0) Bare JBC problem
(1) BareJBCToJBCProof [EQUIVALENT, 96 ms]
(2) JBC problem
(3) JBCToGraph [EQUIVALENT, 223 ms]
(4) JBCTerminationGraph
(5) JBCNonTerm [COMPLETE, 119 ms]
(6) NO


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(0)
Obligation:
need to prove termination of the following 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);

	}

}



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(1) BareJBCToJBCProof (EQUIVALENT)
initialized classpath
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(2)
Obligation:
need to prove termination of the following 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);

	}

}



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(3) JBCToGraph (EQUIVALENT)
Constructed TerminationGraph.
----------------------------------------

(4)
Obligation:
Termination Graph based on JBC Program:
simple.alternDiv.Main.main([Ljava/lang/String;)V: Graph of 31 nodes with 1 SCC.





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(5) JBCNonTerm (COMPLETE)
Reached a loop using the following run: 

0:<simple.alternDiv.Main.main||0: load ADDR args||args: a22|| ->
	a22([java.lang.String...]): length 1 -->{java.lang.Object...}
YES:  (JL1)
1:<simple.alternDiv.Main.main||1: arraylength|| - ||a22>
	a22([java.lang.String...]): length 1 -->{java.lang.Object...}
YES:  (JL1)
2:<simple.alternDiv.Main.main||2: simple.alternDiv.AlternDiv.loop(I)V|| - ||1>
YES:  (JL1)
3:<simple.alternDiv.AlternDiv.loop||0: load INT i||i: 1|| ->
<simple.alternDiv.Main.main||2: simple.alternDiv.AlternDiv.loop|| - || ->
YES:  (JL1)
Start state of loop: 

<simple.alternDiv.AlternDiv.loop||0: load INT i||i: i134|| ->
[a6(lv_0_0)]
<simple.alternDiv.Main.main||2: simple.alternDiv.AlternDiv.loop|| - || ->
	i134: #
	i17: [0,+inf)(l1)
	a6([java.lang.String...]): length i17 -->{java.lang.Object...}
YES:  (JL1)


In the loop head node, references [i134] were interesting.

All methods calls in the loop body are side-effect free, hence they can be ignored.

By SMT, we could prove

(0 <= initial_i17 and ((((path1_i134 = path1_i144 and path1_i144 = path1_i145 and path1_i147 = (path1_i145 + -1) and path1_i149 = (path1_i147 * -1) and path1_i149 = res_i134 and path1_i134 = initial_i134) and (path1_i144 != 0 and path1_i145 < 0)) or ((path2_i134 = path2_i144 and path2_i144 = path2_i146 and path2_i148 = (path2_i146 + 1) and path2_i150 = (path2_i148 * -1) and path2_i150 = res_i134 and path2_i134 = initial_i134) and (path2_i144 != 0 and path2_i146 >= 0)) or ((path1_i134 = path1_i144 and path1_i144 = path1_i145 and path1_i147 = (path1_i145 + -1) and path1_i149 = (path1_i147 * -1) and path1_i149 = res_i134 and path1_i134 = initial_i134) and (path1_i145 < 0 and path1_i144 < 0)) or ((path1_i134 = path1_i144 and path1_i144 = path1_i145 and path1_i147 = (path1_i145 + -1) and path1_i149 = (path1_i147 * -1) and path1_i149 = res_i134 and path1_i134 = initial_i134) and (path1_i145 < 0 and path1_i144 > 0)) or ((path2_i134 = path2_i144 and path2_i144 = path2_i146 and path2_i148 = (path2_i146 + 1) and path2_i150 = (path2_i148 * -1) and path2_i150 = res_i134 and path2_i134 = initial_i134) and (path2_i146 >= 0 and path2_i144 < 0)) or ((path2_i134 = path2_i144 and path2_i144 = path2_i146 and path2_i148 = (path2_i146 + 1) and path2_i150 = (path2_i148 * -1) and path2_i150 = res_i134 and path2_i134 = initial_i134) and (path2_i146 >= 0 and path2_i144 > 0))) and (((res1_i134 = res1_i144 and res1_i144 = res1_i145 and res1_i147 = (res1_i145 + -1) and res1_i149 = (res1_i147 * -1) and res_i134 = res1_i134) and !(res1_i144 != 0 and res1_i145 < 0)) and ((res2_i134 = res2_i144 and res2_i144 = res2_i146 and res2_i148 = (res2_i146 + 1) and res2_i150 = (res2_i148 * -1) and res_i134 = res2_i134) and !(res2_i144 != 0 and res2_i146 >= 0)) and ((res1_i134 = res1_i144 and res1_i144 = res1_i145 and res1_i147 = (res1_i145 + -1) and res1_i149 = (res1_i147 * -1) and res_i134 = res1_i134) and !(res1_i145 < 0 and res1_i144 < 0)) and ((res1_i134 = res1_i144 and res1_i144 = res1_i145 and res1_i147 = (res1_i145 + -1) and res1_i149 = (res1_i147 * -1) and res_i134 = res1_i134) and !(res1_i145 < 0 and res1_i144 > 0)) and ((res2_i134 = res2_i144 and res2_i144 = res2_i146 and res2_i148 = (res2_i146 + 1) and res2_i150 = (res2_i148 * -1) and res_i134 = res2_i134) and !(res2_i146 >= 0 and res2_i144 < 0)) and ((res2_i134 = res2_i144 and res2_i144 = res2_i146 and res2_i148 = (res2_i146 + 1) and res2_i150 = (res2_i148 * -1) and res_i134 = res2_i134) and !(res2_i146 >= 0 and res2_i144 > 0)))))

to be UNSAT. Consequently, the loop will not terminate.
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(6)
NO