6.11/2.53	YES
6.11/2.54	proof of /export/starexec/sandbox2/benchmark/theBenchmark.jar
6.11/2.54	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
6.11/2.54	
6.11/2.54	
6.11/2.54	termination of the given Bare JBC problem could be proven:
6.11/2.54	
6.11/2.54	(0) Bare JBC problem
6.11/2.54	(1) BareJBCToJBCProof [EQUIVALENT, 96 ms]
6.11/2.54	(2) JBC problem
6.11/2.54	(3) JBCToGraph [EQUIVALENT, 311 ms]
6.11/2.54	(4) JBCTerminationGraph
6.11/2.54	(5) TerminationGraphToSCCProof [SOUND, 0 ms]
6.11/2.54	(6) JBCTerminationSCC
6.11/2.54	(7) SCCToIRSProof [SOUND, 96 ms]
6.11/2.54	(8) IRSwT
6.11/2.54	(9) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
6.11/2.54	(10) IRSwT
6.11/2.54	(11) IRSwTTerminationDigraphProof [EQUIVALENT, 0 ms]
6.11/2.54	(12) IRSwT
6.11/2.54	(13) IntTRSCompressionProof [EQUIVALENT, 0 ms]
6.11/2.54	(14) IRSwT
6.11/2.54	(15) TempFilterProof [SOUND, 33 ms]
6.11/2.54	(16) IntTRS
6.11/2.54	(17) RankingReductionPairProof [EQUIVALENT, 0 ms]
6.11/2.54	(18) YES
6.11/2.54	
6.11/2.54	
6.11/2.54	----------------------------------------
6.11/2.54	
6.11/2.54	(0)
6.11/2.54	Obligation:
6.11/2.54	need to prove termination of the following program:
6.11/2.54	/**
6.11/2.54	 * Example taken from "A Term Rewriting Approach to the Automated Termination
6.11/2.54	 * Analysis of Imperative Programs" (http://www.cs.unm.edu/~spf/papers/2009-02.pdf)
6.11/2.54	 * and converted to Java.
6.11/2.54	 */
6.11/2.54	
6.11/2.54	public class PastaA6 {
6.11/2.54	    public static void main(String[] args) {
6.11/2.54	        Random.args = args;
6.11/2.54	        int x = Random.random();
6.11/2.54	        int y = Random.random();
6.11/2.54	        int z = Random.random();
6.11/2.54	
6.11/2.54	        while (x > y + z) {
6.11/2.54	            y++;
6.11/2.54	            z++;
6.11/2.54	        }
6.11/2.54	    }
6.11/2.54	}
6.11/2.54	
6.11/2.54	
6.11/2.54	public class Random {
6.11/2.54	  static String[] args;
6.11/2.54	  static int index = 0;
6.11/2.54	
6.11/2.54	  public static int random() {
6.11/2.54	    String string = args[index];
6.11/2.54	    index++;
6.11/2.54	    return string.length();
6.11/2.54	  }
6.11/2.54	}
6.11/2.54	
6.11/2.54	
6.11/2.54	
6.11/2.54	----------------------------------------
6.11/2.54	
6.11/2.54	(1) BareJBCToJBCProof (EQUIVALENT)
6.11/2.54	initialized classpath
6.11/2.54	----------------------------------------
6.11/2.54	
6.11/2.54	(2)
6.11/2.54	Obligation:
6.11/2.54	need to prove termination of the following program:
6.11/2.54	/**
6.11/2.54	 * Example taken from "A Term Rewriting Approach to the Automated Termination
6.11/2.54	 * Analysis of Imperative Programs" (http://www.cs.unm.edu/~spf/papers/2009-02.pdf)
6.11/2.54	 * and converted to Java.
6.11/2.54	 */
6.11/2.54	
6.11/2.54	public class PastaA6 {
6.11/2.54	    public static void main(String[] args) {
6.11/2.54	        Random.args = args;
6.11/2.54	        int x = Random.random();
6.11/2.54	        int y = Random.random();
6.11/2.54	        int z = Random.random();
6.11/2.54	
6.11/2.54	        while (x > y + z) {
6.11/2.54	            y++;
6.11/2.54	            z++;
6.11/2.54	        }
6.11/2.54	    }
6.11/2.54	}
6.11/2.54	
6.11/2.54	
6.11/2.54	public class Random {
6.11/2.54	  static String[] args;
6.11/2.54	  static int index = 0;
6.11/2.54	
6.11/2.54	  public static int random() {
6.11/2.54	    String string = args[index];
6.11/2.54	    index++;
6.11/2.54	    return string.length();
6.11/2.54	  }
6.11/2.54	}
6.11/2.54	
6.11/2.54	
6.11/2.54	
6.11/2.54	----------------------------------------
6.11/2.54	
6.11/2.54	(3) JBCToGraph (EQUIVALENT)
6.11/2.54	Constructed TerminationGraph.
6.11/2.54	----------------------------------------
6.11/2.54	
6.11/2.54	(4)
6.11/2.54	Obligation:
6.11/2.54	Termination Graph based on JBC Program:
6.11/2.54	PastaA6.main([Ljava/lang/String;)V: Graph of 244 nodes with 1 SCC.
6.11/2.54	
6.11/2.54	
6.11/2.54	
6.11/2.54	
6.11/2.54	
6.11/2.54	----------------------------------------
6.11/2.54	
6.11/2.54	(5) TerminationGraphToSCCProof (SOUND)
6.11/2.54	Splitted TerminationGraph to 1 SCCs.
6.11/2.54	----------------------------------------
6.11/2.54	
6.11/2.54	(6)
6.11/2.54	Obligation:
6.11/2.54	SCC of termination graph based on JBC Program.
6.11/2.54	SCC contains nodes from the following methods: PastaA6.main([Ljava/lang/String;)V
6.11/2.54	SCC calls the following helper methods: 
6.11/2.54	Performed SCC analyses:
6.11/2.54	*Used field analysis yielded the following read fields:
6.11/2.55	
6.11/2.55	*Marker field analysis yielded the following relations that could be markers:
6.11/2.55	
6.11/2.55	----------------------------------------
6.11/2.55	
6.11/2.55	(7) SCCToIRSProof (SOUND)
6.11/2.55	Transformed FIGraph SCCs to intTRSs. Log: 
6.11/2.55	Generated rules. Obtained 10 IRulesP rules:
6.11/2.55	f422_0_main_Load(EOS(STATIC_422), i14, i48, i72, i14) -> f425_0_main_Load(EOS(STATIC_425), i14, i48, i72, i14, i48) :|: TRUE
6.11/2.55	f425_0_main_Load(EOS(STATIC_425), i14, i48, i72, i14, i48) -> f427_0_main_IntArithmetic(EOS(STATIC_427), i14, i48, i72, i14, i48, i72) :|: TRUE
6.11/2.55	f427_0_main_IntArithmetic(EOS(STATIC_427), i14, i48, i72, i14, i48, i72) -> f430_0_main_LE(EOS(STATIC_430), i14, i48, i72, i14, i48 + i72) :|: i48 >= 0 && i72 >= 0
6.11/2.55	f430_0_main_LE(EOS(STATIC_430), i14, i48, i72, i14, i74) -> f434_0_main_LE(EOS(STATIC_434), i14, i48, i72, i14, i74) :|: i14 > i74
6.11/2.55	f434_0_main_LE(EOS(STATIC_434), i14, i48, i72, i14, i74) -> f450_0_main_Inc(EOS(STATIC_450), i14, i48, i72) :|: i14 > i74
6.11/2.55	f450_0_main_Inc(EOS(STATIC_450), i14, i48, i72) -> f464_0_main_Inc(EOS(STATIC_464), i14, i48 + 1, i72) :|: TRUE
6.11/2.55	f464_0_main_Inc(EOS(STATIC_464), i14, i77, i72) -> f474_0_main_JMP(EOS(STATIC_474), i14, i77, i72 + 1) :|: TRUE
6.11/2.55	f474_0_main_JMP(EOS(STATIC_474), i14, i77, i79) -> f519_0_main_Load(EOS(STATIC_519), i14, i77, i79) :|: TRUE
6.11/2.55	f519_0_main_Load(EOS(STATIC_519), i14, i77, i79) -> f419_0_main_Load(EOS(STATIC_419), i14, i77, i79) :|: TRUE
6.11/2.55	f419_0_main_Load(EOS(STATIC_419), i14, i48, i72) -> f422_0_main_Load(EOS(STATIC_422), i14, i48, i72, i14) :|: TRUE
6.11/2.55	Combined rules. Obtained 1 IRulesP rules:
6.11/2.55	f422_0_main_Load(EOS(STATIC_422), i14:0, i48:0, i72:0, i14:0) -> f422_0_main_Load(EOS(STATIC_422), i14:0, i48:0 + 1, i72:0 + 1, i14:0) :|: i72:0 > -1 && i48:0 > -1 && i48:0 + i72:0 < i14:0
6.11/2.55	Filtered constant ground arguments:
6.11/2.55	   f422_0_main_Load(x1, x2, x3, x4, x5) -> f422_0_main_Load(x2, x3, x4, x5)
6.11/2.55	   EOS(x1) -> EOS
6.11/2.55	Filtered duplicate arguments:
6.11/2.55	   f422_0_main_Load(x1, x2, x3, x4) -> f422_0_main_Load(x2, x3, x4)
6.11/2.55	Finished conversion. Obtained 1 rules.P rules:
6.11/2.55	f422_0_main_Load(i48:0, i72:0, i14:0) -> f422_0_main_Load(i48:0 + 1, i72:0 + 1, i14:0) :|: i48:0 > -1 && i48:0 + i72:0 < i14:0 && i72:0 > -1
6.11/2.55	
6.11/2.55	----------------------------------------
6.11/2.55	
6.11/2.55	(8)
6.11/2.55	Obligation:
6.11/2.55	Rules:
6.11/2.55	f422_0_main_Load(i48:0, i72:0, i14:0) -> f422_0_main_Load(i48:0 + 1, i72:0 + 1, i14:0) :|: i48:0 > -1 && i48:0 + i72:0 < i14:0 && i72:0 > -1
6.11/2.55	
6.11/2.55	----------------------------------------
6.11/2.55	
6.11/2.55	(9) IRSFormatTransformerProof (EQUIVALENT)
6.11/2.55	Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %).
6.11/2.55	----------------------------------------
6.11/2.55	
6.11/2.55	(10)
6.11/2.55	Obligation:
6.11/2.55	Rules:
6.11/2.55	f422_0_main_Load(i48:0, i72:0, i14:0) -> f422_0_main_Load(arith, arith1, i14:0) :|: i48:0 > -1 && i48:0 + i72:0 < i14:0 && i72:0 > -1 && arith = i48:0 + 1 && arith1 = i72:0 + 1
6.11/2.55	
6.11/2.55	----------------------------------------
6.11/2.55	
6.11/2.55	(11) IRSwTTerminationDigraphProof (EQUIVALENT)
6.11/2.55	Constructed termination digraph!
6.11/2.55	Nodes:
6.11/2.55	(1) f422_0_main_Load(i48:0, i72:0, i14:0) -> f422_0_main_Load(arith, arith1, i14:0) :|: i48:0 > -1 && i48:0 + i72:0 < i14:0 && i72:0 > -1 && arith = i48:0 + 1 && arith1 = i72:0 + 1
6.11/2.55	
6.11/2.55	Arcs:
6.11/2.55	(1) -> (1)
6.11/2.55	
6.11/2.55	This digraph is fully evaluated!
6.11/2.55	----------------------------------------
6.11/2.55	
6.11/2.55	(12)
6.11/2.55	Obligation:
6.11/2.55	
6.11/2.55	Termination digraph:
6.11/2.55	Nodes:
6.11/2.55	(1) f422_0_main_Load(i48:0, i72:0, i14:0) -> f422_0_main_Load(arith, arith1, i14:0) :|: i48:0 > -1 && i48:0 + i72:0 < i14:0 && i72:0 > -1 && arith = i48:0 + 1 && arith1 = i72:0 + 1
6.11/2.55	
6.11/2.55	Arcs:
6.11/2.55	(1) -> (1)
6.11/2.55	
6.11/2.55	This digraph is fully evaluated!
6.11/2.55	
6.11/2.55	----------------------------------------
6.11/2.55	
6.11/2.55	(13) IntTRSCompressionProof (EQUIVALENT)
6.11/2.55	Compressed rules.
6.11/2.55	----------------------------------------
6.11/2.55	
6.11/2.55	(14)
6.11/2.55	Obligation:
6.11/2.55	Rules:
6.11/2.55	f422_0_main_Load(i48:0:0, i72:0:0, i14:0:0) -> f422_0_main_Load(i48:0:0 + 1, i72:0:0 + 1, i14:0:0) :|: i48:0:0 > -1 && i48:0:0 + i72:0:0 < i14:0:0 && i72:0:0 > -1
6.11/2.55	
6.11/2.55	----------------------------------------
6.11/2.55	
6.11/2.55	(15) TempFilterProof (SOUND)
6.11/2.55	Used the following sort dictionary for filtering: 
6.11/2.55	f422_0_main_Load(INTEGER, INTEGER, INTEGER)
6.11/2.55	Replaced non-predefined constructor symbols by 0.
6.11/2.55	----------------------------------------
6.11/2.55	
6.11/2.55	(16)
6.11/2.55	Obligation:
6.11/2.55	Rules:
6.11/2.55	f422_0_main_Load(i48:0:0, i72:0:0, i14:0:0) -> f422_0_main_Load(c, c1, i14:0:0) :|: c1 = i72:0:0 + 1 && c = i48:0:0 + 1 && (i48:0:0 > -1 && i48:0:0 + i72:0:0 < i14:0:0 && i72:0:0 > -1)
6.11/2.55	
6.11/2.55	----------------------------------------
6.11/2.55	
6.11/2.55	(17) RankingReductionPairProof (EQUIVALENT)
6.11/2.55	Interpretation:
6.11/2.55	[ f422_0_main_Load ] = -1*f422_0_main_Load_1 + f422_0_main_Load_3
6.11/2.55	
6.11/2.55	The following rules are decreasing:
6.11/2.55	f422_0_main_Load(i48:0:0, i72:0:0, i14:0:0) -> f422_0_main_Load(c, c1, i14:0:0) :|: c1 = i72:0:0 + 1 && c = i48:0:0 + 1 && (i48:0:0 > -1 && i48:0:0 + i72:0:0 < i14:0:0 && i72:0:0 > -1)
6.11/2.55	
6.11/2.55	The following rules are bounded:
6.11/2.55	f422_0_main_Load(i48:0:0, i72:0:0, i14:0:0) -> f422_0_main_Load(c, c1, i14:0:0) :|: c1 = i72:0:0 + 1 && c = i48:0:0 + 1 && (i48:0:0 > -1 && i48:0:0 + i72:0:0 < i14:0:0 && i72:0:0 > -1)
6.11/2.55	
6.11/2.55	
6.11/2.55	----------------------------------------
6.11/2.55	
6.11/2.55	(18)
6.11/2.55	YES
6.11/2.58	EOF