/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.jar /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty termination of the given Bare JBC problem could be proven: (0) Bare JBC problem (1) BareJBCToJBCProof [EQUIVALENT, 96 ms] (2) JBC problem (3) JBCToGraph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 ---------------------------------------- (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(); } } ---------------------------------------- (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(); } } ---------------------------------------- (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. ---------------------------------------- (5) TerminationGraphToSCCProof (SOUND) Proven termination by absence of SCCs ---------------------------------------- (6) TRUE