/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 169 ms]
(4) JBCTerminationGraph
(5) TerminationGraphToSCCProof [SOUND, 0 ms]
(6) JBCTerminationSCC
(7) SCCToIRSProof [SOUND, 75 ms]
(8) IRSwT
(9) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
(10) IRSwT
(11) IRSwTTerminationDigraphProof [EQUIVALENT, 18 ms]
(12) IRSwT
(13) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(14) IRSwT
(15) TempFilterProof [SOUND, 14 ms]
(16) IntTRS
(17) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
(18) YES
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(0)
Obligation:
need to prove termination of the following program:
/**
* A recursive loop.
*
* All calls terminate.
*
* Julia + BinTerm prove that all calls terminate.
*
* @author Fausto Spoto
*/
public class Double2 {
private static void test(int n) {
for (int i = n - 1; i >= 0; i--)
test(i);
}
public static void main(String[] args) {
test(10);
}
}
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(1) BareJBCToJBCProof (EQUIVALENT)
initialized classpath
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(2)
Obligation:
need to prove termination of the following program:
/**
* A recursive loop.
*
* All calls terminate.
*
* Julia + BinTerm prove that all calls terminate.
*
* @author Fausto Spoto
*/
public class Double2 {
private static void test(int n) {
for (int i = n - 1; i >= 0; i--)
test(i);
}
public static void main(String[] args) {
test(10);
}
}
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(3) JBCToGraph (EQUIVALENT)
Constructed TerminationGraph.
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(4)
Obligation:
Termination Graph based on JBC Program:
Double2.main([Ljava/lang/String;)V: Graph of 7 nodes with 0 SCCs.
Double2.test(I)V: Graph of 18 nodes with 1 SCC.
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(5) TerminationGraphToSCCProof (SOUND)
Splitted TerminationGraph to 1 SCCs.
----------------------------------------
(6)
Obligation:
SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: Double2.test(I)V
SCC calls the following helper methods: Double2.test(I)V
Performed SCC analyses:
*Used field analysis yielded the following read fields:
*Marker field analysis yielded the following relations that could be markers:
----------------------------------------
(7) SCCToIRSProof (SOUND)
Transformed FIGraph SCCs to intTRSs. Log:
Generated rules. Obtained 17 IRulesP rules:
f120_0_test_ConstantStackPush(EOS(STATIC_120), i10, i11) -> f121_0_test_IntArithmetic(EOS(STATIC_121), i10, i11, 1) :|: TRUE
f121_0_test_IntArithmetic(EOS(STATIC_121), i10, i11, matching1) -> f123_0_test_Store(EOS(STATIC_123), i10, i11 - 1) :|: TRUE && matching1 = 1
f123_0_test_Store(EOS(STATIC_123), i10, i12) -> f125_0_test_Load(EOS(STATIC_125), i10, i12) :|: TRUE
f125_0_test_Load(EOS(STATIC_125), i10, i12) -> f127_0_test_LT(EOS(STATIC_127), i10, i12, i12) :|: TRUE
f127_0_test_LT(EOS(STATIC_127), i10, i14, i14) -> f136_0_test_LT(EOS(STATIC_136), i10, i14, i14) :|: TRUE
f136_0_test_LT(EOS(STATIC_136), i10, i14, i14) -> f141_0_test_Load(EOS(STATIC_141), i10, i14) :|: i14 >= 0
f141_0_test_Load(EOS(STATIC_141), i10, i14) -> f147_0_test_InvokeMethod(EOS(STATIC_147), i10, i14, i14) :|: TRUE
f147_0_test_InvokeMethod(EOS(STATIC_147), i10, i14, i14) -> f186_0_test_Load(EOS(STATIC_186), i14, i14) :|: TRUE
f147_0_test_InvokeMethod(EOS(STATIC_147), i10, i14, i14) -> f186_1_test_Load(EOS(STATIC_186), i10, i14, i14) :|: TRUE
f186_0_test_Load(EOS(STATIC_186), i14, i14) -> f191_0_test_Load(EOS(STATIC_191), i14, i14) :|: TRUE
f191_0_test_Load(EOS(STATIC_191), i14, i14) -> f119_0_test_Load(EOS(STATIC_119), i14, i14) :|: TRUE
f119_0_test_Load(EOS(STATIC_119), i10, i11) -> f120_0_test_ConstantStackPush(EOS(STATIC_120), i10, i11) :|: TRUE
f1059_0_test_Return(EOS(STATIC_1059), i10, i21) -> f1062_0_test_Inc(EOS(STATIC_1062), i10, i21) :|: TRUE
f1062_0_test_Inc(EOS(STATIC_1062), i10, i21) -> f1066_0_test_JMP(EOS(STATIC_1066), i10, i21 + -1) :|: TRUE
f1066_0_test_JMP(EOS(STATIC_1066), i10, i22) -> f1100_0_test_Load(EOS(STATIC_1100), i10, i22) :|: TRUE
f1100_0_test_Load(EOS(STATIC_1100), i10, i22) -> f125_0_test_Load(EOS(STATIC_125), i10, i22) :|: TRUE
f186_1_test_Load(EOS(STATIC_186), i10, i21, i21) -> f1059_0_test_Return(EOS(STATIC_1059), i10, i21) :|: TRUE
Combined rules. Obtained 2 IRulesP rules:
f147_0_test_InvokeMethod(EOS(STATIC_147), i10:0, i14:0, i14:0) -> f147_0_test_InvokeMethod(EOS(STATIC_147), i14:0, i14:0 - 1, i14:0 - 1) :|: i14:0 > 0
f147_0_test_InvokeMethod(EOS(STATIC_147), i10:0, i14:0, i14:0) -> f147_0_test_InvokeMethod(EOS(STATIC_147), i10:0, i14:0 - 1, i14:0 - 1) :|: i14:0 > 0
Filtered constant ground arguments:
f147_0_test_InvokeMethod(x1, x2, x3, x4) -> f147_0_test_InvokeMethod(x2, x3, x4)
EOS(x1) -> EOS
Filtered duplicate arguments:
f147_0_test_InvokeMethod(x1, x2, x3) -> f147_0_test_InvokeMethod(x1, x3)
Filtered unneeded arguments:
f147_0_test_InvokeMethod(x1, x2) -> f147_0_test_InvokeMethod(x2)
Finished conversion. Obtained 1 rules.P rules:
f147_0_test_InvokeMethod(i14:0) -> f147_0_test_InvokeMethod(i14:0 - 1) :|: i14:0 > 0
----------------------------------------
(8)
Obligation:
Rules:
f147_0_test_InvokeMethod(i14:0) -> f147_0_test_InvokeMethod(i14:0 - 1) :|: i14:0 > 0
----------------------------------------
(9) IRSFormatTransformerProof (EQUIVALENT)
Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %).
----------------------------------------
(10)
Obligation:
Rules:
f147_0_test_InvokeMethod(i14:0) -> f147_0_test_InvokeMethod(arith) :|: i14:0 > 0 && arith = i14:0 - 1
----------------------------------------
(11) IRSwTTerminationDigraphProof (EQUIVALENT)
Constructed termination digraph!
Nodes:
(1) f147_0_test_InvokeMethod(i14:0) -> f147_0_test_InvokeMethod(arith) :|: i14:0 > 0 && arith = i14:0 - 1
Arcs:
(1) -> (1)
This digraph is fully evaluated!
----------------------------------------
(12)
Obligation:
Termination digraph:
Nodes:
(1) f147_0_test_InvokeMethod(i14:0) -> f147_0_test_InvokeMethod(arith) :|: i14:0 > 0 && arith = i14:0 - 1
Arcs:
(1) -> (1)
This digraph is fully evaluated!
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(13) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
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(14)
Obligation:
Rules:
f147_0_test_InvokeMethod(i14:0:0) -> f147_0_test_InvokeMethod(i14:0:0 - 1) :|: i14:0:0 > 0
----------------------------------------
(15) TempFilterProof (SOUND)
Used the following sort dictionary for filtering:
f147_0_test_InvokeMethod(INTEGER)
Replaced non-predefined constructor symbols by 0.
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(16)
Obligation:
Rules:
f147_0_test_InvokeMethod(i14:0:0) -> f147_0_test_InvokeMethod(c) :|: c = i14:0:0 - 1 && i14:0:0 > 0
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(17) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f147_0_test_InvokeMethod(x)] = x
The following rules are decreasing:
f147_0_test_InvokeMethod(i14:0:0) -> f147_0_test_InvokeMethod(c) :|: c = i14:0:0 - 1 && i14:0:0 > 0
The following rules are bounded:
f147_0_test_InvokeMethod(i14:0:0) -> f147_0_test_InvokeMethod(c) :|: c = i14:0:0 - 1 && i14:0:0 > 0
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(18)
YES