6.51/2.69	YES
6.51/2.71	proof of /export/starexec/sandbox/benchmark/theBenchmark.jar
6.51/2.71	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
6.51/2.71	
6.51/2.71	
6.51/2.71	termination of the given Bare JBC problem could be proven:
6.51/2.71	
6.51/2.71	(0) Bare JBC problem
6.51/2.71	(1) BareJBCToJBCProof [EQUIVALENT, 96 ms]
6.51/2.71	(2) JBC problem
6.51/2.71	(3) JBCToGraph [EQUIVALENT, 396 ms]
6.51/2.71	(4) JBCTerminationGraph
6.51/2.71	(5) TerminationGraphToSCCProof [SOUND, 0 ms]
6.51/2.71	(6) JBCTerminationSCC
6.51/2.71	(7) SCCToIRSProof [SOUND, 114 ms]
6.51/2.71	(8) IRSwT
6.51/2.71	(9) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
6.51/2.71	(10) IRSwT
6.51/2.71	(11) IRSwTTerminationDigraphProof [EQUIVALENT, 0 ms]
6.51/2.71	(12) IRSwT
6.51/2.71	(13) IntTRSCompressionProof [EQUIVALENT, 0 ms]
6.51/2.71	(14) IRSwT
6.51/2.71	(15) TempFilterProof [SOUND, 11 ms]
6.51/2.71	(16) IntTRS
6.51/2.71	(17) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
6.51/2.71	(18) YES
6.51/2.71	
6.51/2.71	
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(0)
6.51/2.71	Obligation:
6.51/2.71	need to prove termination of the following program:
6.51/2.71	/**
6.51/2.71	 * Example taken from "A Term Rewriting Approach to the Automated Termination
6.51/2.71	 * Analysis of Imperative Programs" (http://www.cs.unm.edu/~spf/papers/2009-02.pdf)
6.51/2.71	 * and converted to Java.
6.51/2.71	 */
6.51/2.71	
6.51/2.71	public class PastaB14 {
6.51/2.71	    public static void main(String[] args) {
6.51/2.71	        Random.args = args;
6.51/2.71	        int x = Random.random();
6.51/2.71	        int y = Random.random();
6.51/2.71	
6.51/2.71	        while (x == y && x > 0) {
6.51/2.71	            while (y > 0) {
6.51/2.71	                x--;
6.51/2.71	                y--;                
6.51/2.71	            }
6.51/2.71	        }
6.51/2.71	    }
6.51/2.71	}
6.51/2.71	
6.51/2.71	
6.51/2.71	public class Random {
6.51/2.71	  static String[] args;
6.51/2.71	  static int index = 0;
6.51/2.71	
6.51/2.71	  public static int random() {
6.51/2.71	    String string = args[index];
6.51/2.71	    index++;
6.51/2.71	    return string.length();
6.51/2.71	  }
6.51/2.71	}
6.51/2.71	
6.51/2.71	
6.51/2.71	
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(1) BareJBCToJBCProof (EQUIVALENT)
6.51/2.71	initialized classpath
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(2)
6.51/2.71	Obligation:
6.51/2.71	need to prove termination of the following program:
6.51/2.71	/**
6.51/2.71	 * Example taken from "A Term Rewriting Approach to the Automated Termination
6.51/2.71	 * Analysis of Imperative Programs" (http://www.cs.unm.edu/~spf/papers/2009-02.pdf)
6.51/2.71	 * and converted to Java.
6.51/2.71	 */
6.51/2.71	
6.51/2.71	public class PastaB14 {
6.51/2.71	    public static void main(String[] args) {
6.51/2.71	        Random.args = args;
6.51/2.71	        int x = Random.random();
6.51/2.71	        int y = Random.random();
6.51/2.71	
6.51/2.71	        while (x == y && x > 0) {
6.51/2.71	            while (y > 0) {
6.51/2.71	                x--;
6.51/2.71	                y--;                
6.51/2.71	            }
6.51/2.71	        }
6.51/2.71	    }
6.51/2.71	}
6.51/2.71	
6.51/2.71	
6.51/2.71	public class Random {
6.51/2.71	  static String[] args;
6.51/2.71	  static int index = 0;
6.51/2.71	
6.51/2.71	  public static int random() {
6.51/2.71	    String string = args[index];
6.51/2.71	    index++;
6.51/2.71	    return string.length();
6.51/2.71	  }
6.51/2.71	}
6.51/2.71	
6.51/2.71	
6.51/2.71	
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(3) JBCToGraph (EQUIVALENT)
6.51/2.71	Constructed TerminationGraph.
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(4)
6.51/2.71	Obligation:
6.51/2.71	Termination Graph based on JBC Program:
6.51/2.71	PastaB14.main([Ljava/lang/String;)V: Graph of 189 nodes with 1 SCC.
6.51/2.71	
6.51/2.71	
6.51/2.71	
6.51/2.71	
6.51/2.71	
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(5) TerminationGraphToSCCProof (SOUND)
6.51/2.71	Splitted TerminationGraph to 1 SCCs.
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(6)
6.51/2.71	Obligation:
6.51/2.71	SCC of termination graph based on JBC Program.
6.51/2.71	SCC contains nodes from the following methods: PastaB14.main([Ljava/lang/String;)V
6.51/2.71	SCC calls the following helper methods: 
6.51/2.71	Performed SCC analyses:
6.51/2.71	*Used field analysis yielded the following read fields:
6.51/2.71	
6.51/2.71	*Marker field analysis yielded the following relations that could be markers:
6.51/2.71	
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(7) SCCToIRSProof (SOUND)
6.51/2.71	Transformed FIGraph SCCs to intTRSs. Log: 
6.51/2.71	Generated rules. Obtained 20 IRulesP rules:
6.51/2.71	f1091_0_main_Load(EOS(STATIC_1091), i211, i212, i211) -> f1092_0_main_NE(EOS(STATIC_1092), i211, i212, i211, i212) :|: TRUE
6.51/2.71	f1092_0_main_NE(EOS(STATIC_1092), i212, i212, i212, i212) -> f1099_0_main_NE(EOS(STATIC_1099), i212, i212, i212, i212) :|: i211 = i212
6.51/2.71	f1099_0_main_NE(EOS(STATIC_1099), i212, i212, i212, i212) -> f1115_0_main_Load(EOS(STATIC_1115), i212, i212) :|: TRUE
6.51/2.71	f1115_0_main_Load(EOS(STATIC_1115), i212, i212) -> f1117_0_main_LE(EOS(STATIC_1117), i212, i212, i212) :|: TRUE
6.51/2.71	f1117_0_main_LE(EOS(STATIC_1117), i232, i232, i232) -> f1121_0_main_LE(EOS(STATIC_1121), i232, i232, i232) :|: TRUE
6.51/2.71	f1121_0_main_LE(EOS(STATIC_1121), i232, i232, i232) -> f1125_0_main_Load(EOS(STATIC_1125), i232, i232) :|: i232 > 0
6.51/2.71	f1125_0_main_Load(EOS(STATIC_1125), i232, i232) -> f1148_0_main_Load(EOS(STATIC_1148), i232, i232) :|: TRUE
6.51/2.71	f1148_0_main_Load(EOS(STATIC_1148), i237, i238) -> f1202_0_main_Load(EOS(STATIC_1202), i237, i238) :|: TRUE
6.51/2.71	f1202_0_main_Load(EOS(STATIC_1202), i255, i256) -> f1265_0_main_Load(EOS(STATIC_1265), i255, i256) :|: TRUE
6.51/2.71	f1265_0_main_Load(EOS(STATIC_1265), i273, i274) -> f1269_0_main_LE(EOS(STATIC_1269), i273, i274, i274) :|: TRUE
6.51/2.71	f1269_0_main_LE(EOS(STATIC_1269), i273, matching1, matching2) -> f1272_0_main_LE(EOS(STATIC_1272), i273, 0, 0) :|: TRUE && matching1 = 0 && matching2 = 0
6.51/2.71	f1269_0_main_LE(EOS(STATIC_1269), i273, i283, i283) -> f1273_0_main_LE(EOS(STATIC_1273), i273, i283, i283) :|: TRUE
6.51/2.71	f1272_0_main_LE(EOS(STATIC_1272), i273, matching1, matching2) -> f1293_0_main_Load(EOS(STATIC_1293), i273, 0) :|: 0 <= 0 && matching1 = 0 && matching2 = 0
6.51/2.71	f1293_0_main_Load(EOS(STATIC_1293), i273, matching1) -> f1084_0_main_Load(EOS(STATIC_1084), i273, 0) :|: TRUE && matching1 = 0
6.51/2.71	f1084_0_main_Load(EOS(STATIC_1084), i211, i212) -> f1091_0_main_Load(EOS(STATIC_1091), i211, i212, i211) :|: TRUE
6.51/2.71	f1273_0_main_LE(EOS(STATIC_1273), i273, i283, i283) -> f1294_0_main_Inc(EOS(STATIC_1294), i273, i283) :|: i283 > 0
6.51/2.71	f1294_0_main_Inc(EOS(STATIC_1294), i273, i283) -> f1295_0_main_Inc(EOS(STATIC_1295), i273 + -1, i283) :|: TRUE
6.51/2.71	f1295_0_main_Inc(EOS(STATIC_1295), i291, i283) -> f1296_0_main_JMP(EOS(STATIC_1296), i291, i283 + -1) :|: TRUE
6.51/2.71	f1296_0_main_JMP(EOS(STATIC_1296), i291, i292) -> f1307_0_main_Load(EOS(STATIC_1307), i291, i292) :|: TRUE
6.51/2.71	f1307_0_main_Load(EOS(STATIC_1307), i291, i292) -> f1265_0_main_Load(EOS(STATIC_1265), i291, i292) :|: TRUE
6.51/2.71	Combined rules. Obtained 1 IRulesP rules:
6.51/2.71	f1269_0_main_LE(EOS(STATIC_1269), i273:0, i283:0, i283:0) -> f1269_0_main_LE(EOS(STATIC_1269), i273:0 - 1, i283:0 - 1, i283:0 - 1) :|: i283:0 > 0
6.51/2.71	Filtered constant ground arguments:
6.51/2.71	   f1269_0_main_LE(x1, x2, x3, x4) -> f1269_0_main_LE(x2, x3, x4)
6.51/2.71	   EOS(x1) -> EOS
6.51/2.71	Filtered duplicate arguments:
6.51/2.71	   f1269_0_main_LE(x1, x2, x3) -> f1269_0_main_LE(x1, x3)
6.51/2.71	Filtered unneeded arguments:
6.51/2.71	   f1269_0_main_LE(x1, x2) -> f1269_0_main_LE(x2)
6.51/2.71	Finished conversion. Obtained 1 rules.P rules:
6.51/2.71	f1269_0_main_LE(i283:0) -> f1269_0_main_LE(i283:0 - 1) :|: i283:0 > 0
6.51/2.71	
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(8)
6.51/2.71	Obligation:
6.51/2.71	Rules:
6.51/2.71	f1269_0_main_LE(i283:0) -> f1269_0_main_LE(i283:0 - 1) :|: i283:0 > 0
6.51/2.71	
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(9) IRSFormatTransformerProof (EQUIVALENT)
6.51/2.71	Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %).
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(10)
6.51/2.71	Obligation:
6.51/2.71	Rules:
6.51/2.71	f1269_0_main_LE(i283:0) -> f1269_0_main_LE(arith) :|: i283:0 > 0 && arith = i283:0 - 1
6.51/2.71	
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(11) IRSwTTerminationDigraphProof (EQUIVALENT)
6.51/2.71	Constructed termination digraph!
6.51/2.71	Nodes:
6.51/2.71	(1) f1269_0_main_LE(i283:0) -> f1269_0_main_LE(arith) :|: i283:0 > 0 && arith = i283:0 - 1
6.51/2.71	
6.51/2.71	Arcs:
6.51/2.71	(1) -> (1)
6.51/2.71	
6.51/2.71	This digraph is fully evaluated!
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(12)
6.51/2.71	Obligation:
6.51/2.71	
6.51/2.71	Termination digraph:
6.51/2.71	Nodes:
6.51/2.71	(1) f1269_0_main_LE(i283:0) -> f1269_0_main_LE(arith) :|: i283:0 > 0 && arith = i283:0 - 1
6.51/2.71	
6.51/2.71	Arcs:
6.51/2.71	(1) -> (1)
6.51/2.71	
6.51/2.71	This digraph is fully evaluated!
6.51/2.71	
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(13) IntTRSCompressionProof (EQUIVALENT)
6.51/2.71	Compressed rules.
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(14)
6.51/2.71	Obligation:
6.51/2.71	Rules:
6.51/2.71	f1269_0_main_LE(i283:0:0) -> f1269_0_main_LE(i283:0:0 - 1) :|: i283:0:0 > 0
6.51/2.71	
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(15) TempFilterProof (SOUND)
6.51/2.71	Used the following sort dictionary for filtering: 
6.51/2.71	f1269_0_main_LE(INTEGER)
6.51/2.71	Replaced non-predefined constructor symbols by 0.
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(16)
6.51/2.71	Obligation:
6.51/2.71	Rules:
6.51/2.71	f1269_0_main_LE(i283:0:0) -> f1269_0_main_LE(c) :|: c = i283:0:0 - 1 && i283:0:0 > 0
6.51/2.71	
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(17) PolynomialOrderProcessor (EQUIVALENT)
6.51/2.71	Found the following polynomial interpretation:
6.51/2.71	[f1269_0_main_LE(x)] = x
6.51/2.71	
6.51/2.71	The following rules are decreasing:
6.51/2.71	f1269_0_main_LE(i283:0:0) -> f1269_0_main_LE(c) :|: c = i283:0:0 - 1 && i283:0:0 > 0
6.51/2.71	The following rules are bounded:
6.51/2.71	f1269_0_main_LE(i283:0:0) -> f1269_0_main_LE(c) :|: c = i283:0:0 - 1 && i283:0:0 > 0
6.51/2.71	
6.51/2.71	----------------------------------------
6.51/2.71	
6.51/2.71	(18)
6.51/2.71	YES
6.83/2.74	EOF