/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.jar /export/starexec/sandbox/output/output_files
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YES
proof of /export/starexec/sandbox/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 97 ms]
(2) JBC problem
(3) JBCToGraph [EQUIVALENT, 93 ms]
(4) JBCTerminationGraph
(5) TerminationGraphToSCCProof [SOUND, 0 ms]
(6) TRUE
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(0)
Obligation:
need to prove termination of the following program:
/**
* The classical recursive definition of factorial.
*
* All calls terminate.
*
* Julia + BinTerm prove that all calls terminate
*
* Note that we have to express the basic case as n < 0
* in order to prove termination.
*
* @author Fausto Spoto
*/
public class Factorial {
public static int factorial(int n) {
if (n < 0) return 1;
else return n * factorial(n - 1);
}
public static void main(String[] args) {
factorial(10);
}
}
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(1) BareJBCToJBCProof (EQUIVALENT)
initialized classpath
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(2)
Obligation:
need to prove termination of the following program:
/**
* The classical recursive definition of factorial.
*
* All calls terminate.
*
* Julia + BinTerm prove that all calls terminate
*
* Note that we have to express the basic case as n < 0
* in order to prove termination.
*
* @author Fausto Spoto
*/
public class Factorial {
public static int factorial(int n) {
if (n < 0) return 1;
else return n * factorial(n - 1);
}
public static void main(String[] args) {
factorial(10);
}
}
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(3) JBCToGraph (EQUIVALENT)
Constructed TerminationGraph.
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(4)
Obligation:
Termination Graph based on JBC Program:
Factorial.main([Ljava/lang/String;)V: Graph of 108 nodes with 0 SCCs.
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(5) TerminationGraphToSCCProof (SOUND)
Proven termination by absence of SCCs
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(6)
TRUE