/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.jar /export/starexec/sandbox2/output/output_files
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YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.jar
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
termination of the given Bare JBC problem could be proven:
(0) Bare JBC problem
(1) BareJBCToJBCProof [EQUIVALENT, 96 ms]
(2) JBC problem
(3) JBCToGraph [EQUIVALENT, 330 ms]
(4) JBCTerminationGraph
(5) TerminationGraphToSCCProof [SOUND, 0 ms]
(6) TRUE
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(0)
Obligation:
need to prove termination of the following program:
/**
* A program that creates a binary tree of arbitrary height and then
* computes that height with a recursive descent on the tree.
*
* All calls terminate.
*
* Julia + BinTerm prove that all calls terminate
*
* @author Fausto Spoto
*/
public class BTree {
private BTree left, right;
public BTree(int height) {
if (height > 1) {
this.left = new BTree(height - 1);
this.right = new BTree(height - 1);
}
}
public int height() {
if (left == null && right == null) return 1;
else if (left == null) return 1 + right.height();
else return 1 + left.height();
}
public static void main(String[] args) {
BTree bt = new BTree(5);
bt.height();
}
}
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(1) BareJBCToJBCProof (EQUIVALENT)
initialized classpath
----------------------------------------
(2)
Obligation:
need to prove termination of the following program:
/**
* A program that creates a binary tree of arbitrary height and then
* computes that height with a recursive descent on the tree.
*
* All calls terminate.
*
* Julia + BinTerm prove that all calls terminate
*
* @author Fausto Spoto
*/
public class BTree {
private BTree left, right;
public BTree(int height) {
if (height > 1) {
this.left = new BTree(height - 1);
this.right = new BTree(height - 1);
}
}
public int height() {
if (left == null && right == null) return 1;
else if (left == null) return 1 + right.height();
else return 1 + left.height();
}
public static void main(String[] args) {
BTree bt = new BTree(5);
bt.height();
}
}
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(3) JBCToGraph (EQUIVALENT)
Constructed TerminationGraph.
----------------------------------------
(4)
Obligation:
Termination Graph based on JBC Program:
BTree.main([Ljava/lang/String;)V: Graph of 492 nodes with 0 SCCs.
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(5) TerminationGraphToSCCProof (SOUND)
Proven termination by absence of SCCs
----------------------------------------
(6)
TRUE