17.00/6.70	YES
17.23/6.71	proof of /export/starexec/sandbox2/benchmark/theBenchmark.jar
17.23/6.71	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
17.23/6.71	
17.23/6.71	
17.23/6.71	termination of the given Bare JBC problem could be proven:
17.23/6.71	
17.23/6.71	(0) Bare JBC problem
17.23/6.71	(1) BareJBCToJBCProof [EQUIVALENT, 96 ms]
17.23/6.71	(2) JBC problem
17.23/6.71	(3) JBCToGraph [EQUIVALENT, 850 ms]
17.23/6.71	(4) JBCTerminationGraph
17.23/6.71	(5) TerminationGraphToSCCProof [SOUND, 0 ms]
17.23/6.71	(6) JBCTerminationSCC
17.23/6.71	(7) SCCToIRSProof [SOUND, 231 ms]
17.23/6.71	(8) IRSwT
17.23/6.71	(9) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
17.23/6.71	(10) IRSwT
17.23/6.71	(11) IRSwTTerminationDigraphProof [EQUIVALENT, 49 ms]
17.23/6.71	(12) AND
17.23/6.71	    (13) IRSwT
17.23/6.71	        (14) IntTRSCompressionProof [EQUIVALENT, 0 ms]
17.23/6.71	        (15) IRSwT
17.23/6.71	        (16) TempFilterProof [SOUND, 19 ms]
17.23/6.71	        (17) IntTRS
17.23/6.71	        (18) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
17.23/6.71	        (19) YES
17.23/6.71	    (20) IRSwT
17.23/6.71	        (21) IntTRSCompressionProof [EQUIVALENT, 0 ms]
17.23/6.71	        (22) IRSwT
17.23/6.71	        (23) IRSwTChainingProof [EQUIVALENT, 0 ms]
17.23/6.71	        (24) IRSwT
17.23/6.71	        (25) IRSwTTerminationDigraphProof [EQUIVALENT, 0 ms]
17.23/6.71	        (26) IRSwT
17.23/6.71	        (27) IntTRSCompressionProof [EQUIVALENT, 0 ms]
17.23/6.71	        (28) IRSwT
17.23/6.71	        (29) TempFilterProof [SOUND, 13 ms]
17.23/6.71	        (30) IntTRS
17.23/6.71	        (31) RankingReductionPairProof [EQUIVALENT, 0 ms]
17.23/6.71	        (32) YES
17.23/6.71	
17.23/6.71	
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(0)
17.23/6.71	Obligation:
17.23/6.71	need to prove termination of the following program:
17.23/6.71	public class Et4 {
17.23/6.71	    public static void main(String[] args) {
17.23/6.71			Random.args = args;
17.23/6.71		    int a =  Random.random(); 
17.23/6.71		   	int b =  Random.random();	
17.23/6.71		    int c =  Random.random();	
17.23/6.71		   	while ( (b - c >= 1) && (a == c)) {
17.23/6.71		   		int r =  Random.random();
17.23/6.71		   		b = 10;
17.23/6.71		   		c = c + 1 + r;		
17.23/6.71		   	    a = c;
17.23/6.71		   	}
17.23/6.71	    }
17.23/6.71	}
17.23/6.71	
17.23/6.71	
17.23/6.71	public class Random {
17.23/6.71	  static String[] args;
17.23/6.71	  static int index = 0;
17.23/6.71	
17.23/6.71	  public static int random() {
17.23/6.71	      if (index >= args.length)
17.23/6.71		  return 0;
17.23/6.71	
17.23/6.71	      String string = args[index];
17.23/6.71	      index++;
17.23/6.71	      return string.length();
17.23/6.71	  }
17.23/6.71	}
17.23/6.71	
17.23/6.71	
17.23/6.71	
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(1) BareJBCToJBCProof (EQUIVALENT)
17.23/6.71	initialized classpath
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(2)
17.23/6.71	Obligation:
17.23/6.71	need to prove termination of the following program:
17.23/6.71	public class Et4 {
17.23/6.71	    public static void main(String[] args) {
17.23/6.71			Random.args = args;
17.23/6.71		    int a =  Random.random(); 
17.23/6.71		   	int b =  Random.random();	
17.23/6.71		    int c =  Random.random();	
17.23/6.71		   	while ( (b - c >= 1) && (a == c)) {
17.23/6.71		   		int r =  Random.random();
17.23/6.71		   		b = 10;
17.23/6.71		   		c = c + 1 + r;		
17.23/6.71		   	    a = c;
17.23/6.71		   	}
17.23/6.71	    }
17.23/6.71	}
17.23/6.71	
17.23/6.71	
17.23/6.71	public class Random {
17.23/6.71	  static String[] args;
17.23/6.71	  static int index = 0;
17.23/6.71	
17.23/6.71	  public static int random() {
17.23/6.71	      if (index >= args.length)
17.23/6.71		  return 0;
17.23/6.71	
17.23/6.71	      String string = args[index];
17.23/6.71	      index++;
17.23/6.71	      return string.length();
17.23/6.71	  }
17.23/6.71	}
17.23/6.71	
17.23/6.71	
17.23/6.71	
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(3) JBCToGraph (EQUIVALENT)
17.23/6.71	Constructed TerminationGraph.
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(4)
17.23/6.71	Obligation:
17.23/6.71	Termination Graph based on JBC Program:
17.23/6.71	Et4.main([Ljava/lang/String;)V: Graph of 467 nodes with 1 SCC.
17.23/6.71	
17.23/6.71	
17.23/6.71	
17.23/6.71	
17.23/6.71	
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(5) TerminationGraphToSCCProof (SOUND)
17.23/6.71	Splitted TerminationGraph to 1 SCCs.
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(6)
17.23/6.71	Obligation:
17.23/6.71	SCC of termination graph based on JBC Program.
17.23/6.71	SCC contains nodes from the following methods: Et4.main([Ljava/lang/String;)V
17.23/6.71	SCC calls the following helper methods: 
17.23/6.71	Performed SCC analyses:
17.23/6.71	*Used field analysis yielded the following read fields:
17.23/6.71	*java.lang.String: [count]
17.23/6.71	*Marker field analysis yielded the following relations that could be markers:
17.23/6.71	
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(7) SCCToIRSProof (SOUND)
17.23/6.71	Transformed FIGraph SCCs to intTRSs. Log: 
17.23/6.71	Generated rules. Obtained 64 IRulesP rules:
17.23/6.71	f2957_0_main_Load(EOS(STATIC_2957(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504, i1505) -> f2968_0_main_IntArithmetic(EOS(STATIC_2968(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504, i1505, i1504) :|: TRUE
17.23/6.71	f2968_0_main_IntArithmetic(EOS(STATIC_2968(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504, i1505, i1504) -> f2978_0_main_ConstantStackPush(EOS(STATIC_2978(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504, i1505 - i1504) :|: i1504 >= 0
17.23/6.71	f2978_0_main_ConstantStackPush(EOS(STATIC_2978(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504, i1599) -> f2997_0_main_LT(EOS(STATIC_2997(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504, i1599, 1) :|: TRUE
17.23/6.71	f2997_0_main_LT(EOS(STATIC_2997(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504, i1654, matching1) -> f3000_0_main_LT(EOS(STATIC_3000(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504, i1654, 1) :|: TRUE && matching1 = 1
17.23/6.71	f3000_0_main_LT(EOS(STATIC_3000(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504, i1654, matching1) -> f3013_0_main_Load(EOS(STATIC_3013(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504) :|: i1654 >= 1 && matching1 = 1
17.23/6.71	f3013_0_main_Load(EOS(STATIC_3013(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504) -> f3020_0_main_Load(EOS(STATIC_3020(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504) :|: TRUE
17.23/6.71	f3020_0_main_Load(EOS(STATIC_3020(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504) -> f3038_0_main_NE(EOS(STATIC_3038(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504, i1504) :|: TRUE
17.23/6.71	f3038_0_main_NE(EOS(STATIC_3038(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504, i1504) -> f3050_0_main_InvokeMethod(EOS(STATIC_3050(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504) :|: TRUE
17.23/6.71	f3050_0_main_InvokeMethod(EOS(STATIC_3050(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504) -> f3061_0_random_FieldAccess(EOS(STATIC_3061(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504) :|: TRUE
17.23/6.71	f3061_0_random_FieldAccess(EOS(STATIC_3061(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504) -> f3068_0_random_FieldAccess(EOS(STATIC_3068(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1503) :|: TRUE
17.23/6.71	f3068_0_random_FieldAccess(EOS(STATIC_3068(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1503) -> f3070_0_random_ArrayLength(EOS(STATIC_3070(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1503, java.lang.Object(ARRAY(i1502))) :|: TRUE
17.23/6.71	f3070_0_random_ArrayLength(EOS(STATIC_3070(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1503, java.lang.Object(ARRAY(i1502))) -> f3082_0_random_LT(EOS(STATIC_3082(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1503, i1502) :|: i1502 >= 0
17.23/6.71	f3082_0_random_LT(EOS(STATIC_3082(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1503, i1502) -> f3089_0_random_LT(EOS(STATIC_3089(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1503, i1502) :|: i1503 < i1502
17.23/6.71	f3082_0_random_LT(EOS(STATIC_3082(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1503, i1502) -> f3090_0_random_LT(EOS(STATIC_3090(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1503, i1502) :|: i1503 >= i1502
17.23/6.71	f3089_0_random_LT(EOS(STATIC_3089(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1503, i1502) -> f3098_0_random_FieldAccess(EOS(STATIC_3098(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504) :|: i1503 < i1502
17.23/6.71	f3098_0_random_FieldAccess(EOS(STATIC_3098(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504) -> f3103_0_random_FieldAccess(EOS(STATIC_3103(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(ARRAY(i1502))) :|: TRUE
17.23/6.71	f3103_0_random_FieldAccess(EOS(STATIC_3103(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(ARRAY(i1502))) -> f3110_0_random_ArrayAccess(EOS(STATIC_3110(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(ARRAY(i1502)), i1503) :|: TRUE
17.23/6.71	f3110_0_random_ArrayAccess(EOS(STATIC_3110(java.lang.Object(ARRAY(i1502)), i1807)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(ARRAY(i1502)), i1807) -> f3117_0_random_ArrayAccess(EOS(STATIC_3117(java.lang.Object(ARRAY(i1502)), i1807)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(ARRAY(i1502)), i1807) :|: TRUE
17.23/6.71	f3117_0_random_ArrayAccess(EOS(STATIC_3117(java.lang.Object(ARRAY(i1502)), i1807)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(ARRAY(i1502)), i1807) -> f3121_0_random_ArrayAccess(EOS(STATIC_3121(java.lang.Object(ARRAY(i1502)), i1807)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(ARRAY(i1502)), i1807) :|: TRUE
17.23/6.71	f3121_0_random_ArrayAccess(EOS(STATIC_3121(java.lang.Object(ARRAY(i1502)), i1807)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(ARRAY(i1502)), i1807) -> f3125_0_random_Store(EOS(STATIC_3125(java.lang.Object(ARRAY(i1502)), i1807)), java.lang.Object(ARRAY(i1502)), i1504, o233) :|: TRUE
17.23/6.71	f3125_0_random_Store(EOS(STATIC_3125(java.lang.Object(ARRAY(i1502)), i1807)), java.lang.Object(ARRAY(i1502)), i1504, o233) -> f3140_0_random_FieldAccess(EOS(STATIC_3140(java.lang.Object(ARRAY(i1502)), i1807)), java.lang.Object(ARRAY(i1502)), i1504, o233) :|: TRUE
17.23/6.71	f3140_0_random_FieldAccess(EOS(STATIC_3140(java.lang.Object(ARRAY(i1502)), i1807)), java.lang.Object(ARRAY(i1502)), i1504, o233) -> f3150_0_random_ConstantStackPush(EOS(STATIC_3150(java.lang.Object(ARRAY(i1502)), i1807)), java.lang.Object(ARRAY(i1502)), i1504, o233, i1807) :|: TRUE
17.23/6.71	f3150_0_random_ConstantStackPush(EOS(STATIC_3150(java.lang.Object(ARRAY(i1502)), i1807)), java.lang.Object(ARRAY(i1502)), i1504, o233, i1807) -> f3212_0_random_IntArithmetic(EOS(STATIC_3212(java.lang.Object(ARRAY(i1502)), i1807)), java.lang.Object(ARRAY(i1502)), i1504, o233, i1807, 1) :|: TRUE
17.23/6.71	f3212_0_random_IntArithmetic(EOS(STATIC_3212(java.lang.Object(ARRAY(i1502)), i1807)), java.lang.Object(ARRAY(i1502)), i1504, o233, i1807, matching1) -> f3219_0_random_FieldAccess(EOS(STATIC_3219(java.lang.Object(ARRAY(i1502)), i1807)), java.lang.Object(ARRAY(i1502)), i1504, o233, i1807 + 1) :|: i1807 >= 0 && matching1 = 1
17.23/6.71	f3219_0_random_FieldAccess(EOS(STATIC_3219(java.lang.Object(ARRAY(i1502)), i1807)), java.lang.Object(ARRAY(i1502)), i1504, o233, i1858) -> f3228_0_random_Load(EOS(STATIC_3228(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, o233) :|: TRUE
17.23/6.71	f3228_0_random_Load(EOS(STATIC_3228(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, o233) -> f3238_0_random_InvokeMethod(EOS(STATIC_3238(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, o233) :|: TRUE
17.23/6.71	f3238_0_random_InvokeMethod(EOS(STATIC_3238(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(o270sub)) -> f3253_0_random_InvokeMethod(EOS(STATIC_3253(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(o270sub)) :|: TRUE
17.23/6.71	f3253_0_random_InvokeMethod(EOS(STATIC_3253(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(o271sub)) -> f3259_0_random_InvokeMethod(EOS(STATIC_3259(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(o271sub)) :|: TRUE
17.23/6.71	f3259_0_random_InvokeMethod(EOS(STATIC_3259(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(o271sub)) -> f3270_0_length_Load(EOS(STATIC_3270(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(o271sub)) :|: TRUE
17.23/6.71	f3270_0_length_Load(EOS(STATIC_3270(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(o271sub)) -> f3278_0_length_FieldAccess(EOS(STATIC_3278(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(o271sub)) :|: TRUE
17.23/6.71	f3278_0_length_FieldAccess(EOS(STATIC_3278(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(java.lang.String(EOC, i1972))) -> f3281_0_length_FieldAccess(EOS(STATIC_3281(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(java.lang.String(EOC, i1972))) :|: i1972 >= 0
17.23/6.71	f3281_0_length_FieldAccess(EOS(STATIC_3281(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, java.lang.Object(java.lang.String(EOC, i1972))) -> f3284_0_length_Return(EOS(STATIC_3284(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, i1972) :|: TRUE
17.23/6.71	f3284_0_length_Return(EOS(STATIC_3284(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, i1972) -> f3287_0_random_Return(EOS(STATIC_3287(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, i1972) :|: TRUE
17.23/6.71	f3287_0_random_Return(EOS(STATIC_3287(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, i1972) -> f3299_0_main_Store(EOS(STATIC_3299(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, i1972) :|: TRUE
17.23/6.71	f3299_0_main_Store(EOS(STATIC_3299(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, i1972) -> f3310_0_main_ConstantStackPush(EOS(STATIC_3310(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, i1972) :|: TRUE
17.23/6.71	f3310_0_main_ConstantStackPush(EOS(STATIC_3310(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, i1972) -> f3333_0_main_Store(EOS(STATIC_3333(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, i1972, 10) :|: TRUE
17.23/6.71	f3333_0_main_Store(EOS(STATIC_3333(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i1504, i1972, matching1) -> f3348_0_main_Load(EOS(STATIC_3348(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), 10, i1504, i1972) :|: TRUE && matching1 = 10
17.23/6.71	f3348_0_main_Load(EOS(STATIC_3348(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), matching1, i1504, i1972) -> f3354_0_main_ConstantStackPush(EOS(STATIC_3354(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), 10, i1972, i1504) :|: TRUE && matching1 = 10
17.23/6.71	f3354_0_main_ConstantStackPush(EOS(STATIC_3354(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), matching1, i1972, i1504) -> f3358_0_main_IntArithmetic(EOS(STATIC_3358(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), 10, i1972, i1504, 1) :|: TRUE && matching1 = 10
17.23/6.71	f3358_0_main_IntArithmetic(EOS(STATIC_3358(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), matching1, i1972, i1504, matching2) -> f3362_0_main_Load(EOS(STATIC_3362(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), 10, i1972, i1504 + 1) :|: i1504 >= 0 && matching1 = 10 && matching2 = 1
17.23/6.71	f3362_0_main_Load(EOS(STATIC_3362(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), matching1, i1972, i2207) -> f3366_0_main_IntArithmetic(EOS(STATIC_3366(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), 10, i2207, i1972) :|: TRUE && matching1 = 10
17.23/6.71	f3366_0_main_IntArithmetic(EOS(STATIC_3366(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), matching1, i2207, i1972) -> f3370_0_main_Store(EOS(STATIC_3370(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), 10, i2207 + i1972) :|: i2207 > 0 && i1972 >= 0 && matching1 = 10
17.23/6.71	f3370_0_main_Store(EOS(STATIC_3370(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), matching1, i2271) -> f3374_0_main_Load(EOS(STATIC_3374(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), 10, i2271) :|: TRUE && matching1 = 10
17.23/6.71	f3374_0_main_Load(EOS(STATIC_3374(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), matching1, i2271) -> f3378_0_main_Store(EOS(STATIC_3378(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), 10, i2271, i2271) :|: TRUE && matching1 = 10
17.23/6.71	f3378_0_main_Store(EOS(STATIC_3378(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), matching1, i2271, i2271) -> f3382_0_main_JMP(EOS(STATIC_3382(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i2271, 10, i2271) :|: TRUE && matching1 = 10
17.23/6.71	f3382_0_main_JMP(EOS(STATIC_3382(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i2271, matching1, i2271) -> f3391_0_main_Load(EOS(STATIC_3391(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i2271, 10, i2271) :|: TRUE && matching1 = 10
17.23/6.71	f3391_0_main_Load(EOS(STATIC_3391(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i2271, matching1, i2271) -> f2898_0_main_Load(EOS(STATIC_2898(java.lang.Object(ARRAY(i1502)), i1858)), java.lang.Object(ARRAY(i1502)), i2271, 10, i2271) :|: TRUE && matching1 = 10
17.23/6.71	f2898_0_main_Load(EOS(STATIC_2898(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1505, i1504) -> f2957_0_main_Load(EOS(STATIC_2957(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1504, i1505) :|: TRUE
17.23/6.71	f3090_0_random_LT(EOS(STATIC_3090(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, i1503, i1502) -> f3099_0_random_ConstantStackPush(EOS(STATIC_3099(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504) :|: i1503 >= i1502
17.23/6.71	f3099_0_random_ConstantStackPush(EOS(STATIC_3099(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504) -> f3104_0_random_Return(EOS(STATIC_3104(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, 0) :|: TRUE
17.23/6.71	f3104_0_random_Return(EOS(STATIC_3104(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, matching1) -> f3113_0_main_Store(EOS(STATIC_3113(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, 0) :|: TRUE && matching1 = 0
17.23/6.71	f3113_0_main_Store(EOS(STATIC_3113(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, matching1) -> f3119_0_main_ConstantStackPush(EOS(STATIC_3119(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, 0) :|: TRUE && matching1 = 0
17.23/6.71	f3119_0_main_ConstantStackPush(EOS(STATIC_3119(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, matching1) -> f3123_0_main_Store(EOS(STATIC_3123(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, 0, 10) :|: TRUE && matching1 = 0
17.23/6.71	f3123_0_main_Store(EOS(STATIC_3123(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1504, matching1, matching2) -> f3130_0_main_Load(EOS(STATIC_3130(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), 10, i1504, 0) :|: TRUE && matching1 = 0 && matching2 = 10
17.23/6.71	f3130_0_main_Load(EOS(STATIC_3130(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), matching1, i1504, matching2) -> f3143_0_main_ConstantStackPush(EOS(STATIC_3143(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), 10, 0, i1504) :|: TRUE && matching1 = 10 && matching2 = 0
17.23/6.71	f3143_0_main_ConstantStackPush(EOS(STATIC_3143(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), matching1, matching2, i1504) -> f3207_0_main_IntArithmetic(EOS(STATIC_3207(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), 10, 0, i1504, 1) :|: TRUE && matching1 = 10 && matching2 = 0
17.23/6.71	f3207_0_main_IntArithmetic(EOS(STATIC_3207(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), matching1, matching2, i1504, matching3) -> f3214_0_main_Load(EOS(STATIC_3214(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), 10, 0, i1504 + 1) :|: i1504 >= 0 && matching1 = 10 && matching2 = 0 && matching3 = 1
17.23/6.71	f3214_0_main_Load(EOS(STATIC_3214(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), matching1, matching2, i1851) -> f3222_0_main_IntArithmetic(EOS(STATIC_3222(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), 10, i1851, 0) :|: TRUE && matching1 = 10 && matching2 = 0
17.23/6.71	f3222_0_main_IntArithmetic(EOS(STATIC_3222(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), matching1, i1851, matching2) -> f3230_0_main_Store(EOS(STATIC_3230(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), 10, i1851 + 0) :|: i1851 > 0 && matching1 = 10 && matching2 = 0
17.23/6.71	f3230_0_main_Store(EOS(STATIC_3230(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), matching1, i1851) -> f3243_0_main_Load(EOS(STATIC_3243(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), 10, i1851) :|: TRUE && matching1 = 10
17.23/6.71	f3243_0_main_Load(EOS(STATIC_3243(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), matching1, i1851) -> f3255_0_main_Store(EOS(STATIC_3255(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), 10, i1851, i1851) :|: TRUE && matching1 = 10
17.23/6.71	f3255_0_main_Store(EOS(STATIC_3255(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), matching1, i1851, i1851) -> f3269_0_main_JMP(EOS(STATIC_3269(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1851, 10, i1851) :|: TRUE && matching1 = 10
17.23/6.71	f3269_0_main_JMP(EOS(STATIC_3269(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1851, matching1, i1851) -> f3274_0_main_Load(EOS(STATIC_3274(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1851, 10, i1851) :|: TRUE && matching1 = 10
17.23/6.71	f3274_0_main_Load(EOS(STATIC_3274(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1851, matching1, i1851) -> f2898_0_main_Load(EOS(STATIC_2898(java.lang.Object(ARRAY(i1502)), i1503)), java.lang.Object(ARRAY(i1502)), i1851, 10, i1851) :|: TRUE && matching1 = 10
17.23/6.71	Combined rules. Obtained 2 IRulesP rules:
17.23/6.71	f2957_0_main_Load(EOS(STATIC_2957(java.lang.Object(ARRAY(i1502:0)), i1503:0)), java.lang.Object(ARRAY(i1502:0)), i1504:0, i1504:0, i1505:0) -> f2957_0_main_Load(EOS(STATIC_2957(java.lang.Object(ARRAY(i1502:0)), i1503:0 + 1)), java.lang.Object(ARRAY(i1502:0)), i1504:0 + 1 + i1972:0, i1504:0 + 1 + i1972:0, 10) :|: i1504:0 > -1 && i1505:0 - i1504:0 >= 1 && i1502:0 > -1 && i1503:0 < i1502:0 && i1503:0 > -1 && i1972:0 > -1
17.23/6.71	f2957_0_main_Load(EOS(STATIC_2957(java.lang.Object(ARRAY(i1502:0)), i1503:0)), java.lang.Object(ARRAY(i1502:0)), i1504:0, i1504:0, i1505:0) -> f2957_0_main_Load(EOS(STATIC_2957(java.lang.Object(ARRAY(i1502:0)), i1503:0)), java.lang.Object(ARRAY(i1502:0)), i1504:0 + 1, i1504:0 + 1, 10) :|: i1504:0 > -1 && i1505:0 - i1504:0 >= 1 && i1502:0 > -1 && i1503:0 >= i1502:0
17.23/6.71	Filtered duplicate arguments:
17.23/6.71	   f2957_0_main_Load(x1, x2, x3, x4, x5) -> f2957_0_main_Load(x1, x2, x4, x5)
17.23/6.71	Finished conversion. Obtained 2 rules.P rules:
17.23/6.71	f2957_0_main_Load(java.lang.Object(ARRAY(i1502:0)), i1504:0, i1505:0, i1502:0, i1503:0, i1502:0) -> f2957_0_main_Load(java.lang.Object(ARRAY(i1502:0)), i1504:0 + 1 + i1972:0, 10, i1502:0, i1503:0 + 1, i1502:0) :|: i1505:0 - i1504:0 >= 1 && i1504:0 > -1 && i1502:0 > -1 && i1503:0 < i1502:0 && i1972:0 > -1 && i1503:0 > -1
17.23/6.71	f2957_0_main_Load(java.lang.Object(ARRAY(i1502:0)), i1504:0, i1505:0, i1502:0, i1503:0, i1502:0) -> f2957_0_main_Load(java.lang.Object(ARRAY(i1502:0)), i1504:0 + 1, 10, i1502:0, i1503:0, i1502:0) :|: i1505:0 - i1504:0 >= 1 && i1504:0 > -1 && i1503:0 >= i1502:0 && i1502:0 > -1
17.23/6.71	
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(8)
17.23/6.71	Obligation:
17.23/6.71	Rules:
17.23/6.71	f2957_0_main_Load(java.lang.Object(ARRAY(i1502:0)), i1504:0, i1505:0, i1502:0, i1503:0, i1502:0) -> f2957_0_main_Load(java.lang.Object(ARRAY(i1502:0)), i1504:0 + 1 + i1972:0, 10, i1502:0, i1503:0 + 1, i1502:0) :|: i1505:0 - i1504:0 >= 1 && i1504:0 > -1 && i1502:0 > -1 && i1503:0 < i1502:0 && i1972:0 > -1 && i1503:0 > -1
17.23/6.71	f2957_0_main_Load(java.lang.Object(ARRAY(x)), x1, x2, x, x3, x) -> f2957_0_main_Load(java.lang.Object(ARRAY(x)), x1 + 1, 10, x, x3, x) :|: x2 - x1 >= 1 && x1 > -1 && x3 >= x && x > -1
17.23/6.71	
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(9) IRSFormatTransformerProof (EQUIVALENT)
17.23/6.71	Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %).
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(10)
17.23/6.71	Obligation:
17.23/6.71	Rules:
17.23/6.71	f2957_0_main_Load(java.lang.Object(ARRAY(i1502:0)), i1504:0, i1505:0, i1502:0, i1503:0, i1502:0) -> f2957_0_main_Load(java.lang.Object(ARRAY(i1502:0)), arith, 10, i1502:0, arith1, i1502:0) :|: i1505:0 - i1504:0 >= 1 && i1504:0 > -1 && i1502:0 > -1 && i1503:0 < i1502:0 && i1972:0 > -1 && i1503:0 > -1 && arith = i1504:0 + 1 + i1972:0 && arith1 = i1503:0 + 1
17.23/6.71	f2957_0_main_Load(java.lang.Object(ARRAY(x4)), x5, x6, x4, x7, x4) -> f2957_0_main_Load(java.lang.Object(ARRAY(x4)), x8, 10, x4, x7, x4) :|: x6 - x5 >= 1 && x5 > -1 && x7 >= x4 && x4 > -1 && x8 = x5 + 1
17.23/6.71	
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(11) IRSwTTerminationDigraphProof (EQUIVALENT)
17.23/6.71	Constructed termination digraph!
17.23/6.71	Nodes:
17.23/6.71	(1) f2957_0_main_Load(java.lang.Object(ARRAY(i1502:0)), i1504:0, i1505:0, i1502:0, i1503:0, i1502:0) -> f2957_0_main_Load(java.lang.Object(ARRAY(i1502:0)), arith, 10, i1502:0, arith1, i1502:0) :|: i1505:0 - i1504:0 >= 1 && i1504:0 > -1 && i1502:0 > -1 && i1503:0 < i1502:0 && i1972:0 > -1 && i1503:0 > -1 && arith = i1504:0 + 1 + i1972:0 && arith1 = i1503:0 + 1
17.23/6.71	(2) f2957_0_main_Load(java.lang.Object(ARRAY(x4)), x5, x6, x4, x7, x4) -> f2957_0_main_Load(java.lang.Object(ARRAY(x4)), x8, 10, x4, x7, x4) :|: x6 - x5 >= 1 && x5 > -1 && x7 >= x4 && x4 > -1 && x8 = x5 + 1
17.23/6.71	
17.23/6.71	Arcs:
17.23/6.71	(1) -> (1), (2)
17.23/6.71	(2) -> (2)
17.23/6.71	
17.23/6.71	This digraph is fully evaluated!
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(12)
17.23/6.71	Complex Obligation (AND)
17.23/6.71	
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(13)
17.23/6.71	Obligation:
17.23/6.71	
17.23/6.71	Termination digraph:
17.23/6.71	Nodes:
17.23/6.71	(1) f2957_0_main_Load(java.lang.Object(ARRAY(i1502:0)), i1504:0, i1505:0, i1502:0, i1503:0, i1502:0) -> f2957_0_main_Load(java.lang.Object(ARRAY(i1502:0)), arith, 10, i1502:0, arith1, i1502:0) :|: i1505:0 - i1504:0 >= 1 && i1504:0 > -1 && i1502:0 > -1 && i1503:0 < i1502:0 && i1972:0 > -1 && i1503:0 > -1 && arith = i1504:0 + 1 + i1972:0 && arith1 = i1503:0 + 1
17.23/6.71	
17.23/6.71	Arcs:
17.23/6.71	(1) -> (1)
17.23/6.71	
17.23/6.71	This digraph is fully evaluated!
17.23/6.71	
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(14) IntTRSCompressionProof (EQUIVALENT)
17.23/6.71	Compressed rules.
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(15)
17.23/6.71	Obligation:
17.23/6.71	Rules:
17.23/6.71	f2957_0_main_Load(java.lang.Object(ARRAY(i1502:0:0)), i1504:0:0, i1505:0:0, i1502:0:0, i1503:0:0, i1502:0:0) -> f2957_0_main_Load(java.lang.Object(ARRAY(i1502:0:0)), i1504:0:0 + 1 + i1972:0:0, 10, i1502:0:0, i1503:0:0 + 1, i1502:0:0) :|: i1972:0:0 > -1 && i1503:0:0 > -1 && i1503:0:0 < i1502:0:0 && i1502:0:0 > -1 && i1504:0:0 > -1 && i1505:0:0 - i1504:0:0 >= 1
17.23/6.71	
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(16) TempFilterProof (SOUND)
17.23/6.71	Used the following sort dictionary for filtering: 
17.23/6.71	f2957_0_main_Load(VARIABLE, INTEGER, VARIABLE, INTEGER, INTEGER, INTEGER)
17.23/6.71	java.lang.Object(VARIABLE)
17.23/6.71	ARRAY(INTEGER)
17.23/6.71	Replaced non-predefined constructor symbols by 0.
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(17)
17.23/6.71	Obligation:
17.23/6.71	Rules:
17.23/6.71	f2957_0_main_Load(c, i1504:0:0, i1505:0:0, i1502:0:0, i1503:0:0, i1502:0:0) -> f2957_0_main_Load(c1, c2, c3, i1502:0:0, c4, i1502:0:0) :|: c4 = i1503:0:0 + 1 && (c3 = 10 && (c2 = i1504:0:0 + 1 + i1972:0:0 && (c1 = 0 && c = 0))) && (i1972:0:0 > -1 && i1503:0:0 > -1 && i1503:0:0 < i1502:0:0 && i1502:0:0 > -1 && i1504:0:0 > -1 && i1505:0:0 - i1504:0:0 >= 1)
17.23/6.71	
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(18) PolynomialOrderProcessor (EQUIVALENT)
17.23/6.71	Found the following polynomial interpretation:
17.23/6.71	[f2957_0_main_Load(x, x1, x2, x3, x4, x5)] = c*x - x4 + x5
17.23/6.71	
17.23/6.71	The following rules are decreasing:
17.23/6.71	f2957_0_main_Load(c, i1504:0:0, i1505:0:0, i1502:0:0, i1503:0:0, i1502:0:0) -> f2957_0_main_Load(c1, c2, c3, i1502:0:0, c4, i1502:0:0) :|: c4 = i1503:0:0 + 1 && (c3 = 10 && (c2 = i1504:0:0 + 1 + i1972:0:0 && (c1 = 0 && c = 0))) && (i1972:0:0 > -1 && i1503:0:0 > -1 && i1503:0:0 < i1502:0:0 && i1502:0:0 > -1 && i1504:0:0 > -1 && i1505:0:0 - i1504:0:0 >= 1)
17.23/6.71	The following rules are bounded:
17.23/6.71	f2957_0_main_Load(c, i1504:0:0, i1505:0:0, i1502:0:0, i1503:0:0, i1502:0:0) -> f2957_0_main_Load(c1, c2, c3, i1502:0:0, c4, i1502:0:0) :|: c4 = i1503:0:0 + 1 && (c3 = 10 && (c2 = i1504:0:0 + 1 + i1972:0:0 && (c1 = 0 && c = 0))) && (i1972:0:0 > -1 && i1503:0:0 > -1 && i1503:0:0 < i1502:0:0 && i1502:0:0 > -1 && i1504:0:0 > -1 && i1505:0:0 - i1504:0:0 >= 1)
17.23/6.72	
17.23/6.72	----------------------------------------
17.23/6.72	
17.23/6.72	(19)
17.23/6.72	YES
17.23/6.72	
17.23/6.72	----------------------------------------
17.23/6.72	
17.23/6.72	(20)
17.23/6.72	Obligation:
17.23/6.72	
17.23/6.72	Termination digraph:
17.23/6.72	Nodes:
17.23/6.72	(1) f2957_0_main_Load(java.lang.Object(ARRAY(x4)), x5, x6, x4, x7, x4) -> f2957_0_main_Load(java.lang.Object(ARRAY(x4)), x8, 10, x4, x7, x4) :|: x6 - x5 >= 1 && x5 > -1 && x7 >= x4 && x4 > -1 && x8 = x5 + 1
17.23/6.72	
17.23/6.72	Arcs:
17.23/6.72	(1) -> (1)
17.23/6.72	
17.23/6.72	This digraph is fully evaluated!
17.23/6.72	
17.23/6.72	----------------------------------------
17.23/6.72	
17.23/6.72	(21) IntTRSCompressionProof (EQUIVALENT)
17.23/6.72	Compressed rules.
17.23/6.72	----------------------------------------
17.23/6.72	
17.23/6.72	(22)
17.23/6.72	Obligation:
17.23/6.72	Rules:
17.23/6.72	f2957_0_main_Load(java.lang.Object(ARRAY(x4:0)), x5:0, x6:0, x4:0, x7:0, x4:0) -> f2957_0_main_Load(java.lang.Object(ARRAY(x4:0)), x5:0 + 1, 10, x4:0, x7:0, x4:0) :|: x7:0 >= x4:0 && x4:0 > -1 && x5:0 > -1 && x6:0 - x5:0 >= 1
17.23/6.72	
17.23/6.72	----------------------------------------
17.23/6.72	
17.23/6.72	(23) IRSwTChainingProof (EQUIVALENT)
17.23/6.72	Chaining!
17.23/6.72	----------------------------------------
17.23/6.72	
17.23/6.72	(24)
17.23/6.72	Obligation:
17.23/6.72	Rules:
17.23/6.72	f2957_0_main_Load(java.lang.Object(ARRAY(x)), x1, x2, x, x3, x) -> f2957_0_main_Load(java.lang.Object(ARRAY(x)), x1 + 2, 10, x, x3, x) :|: TRUE && x3 + -1 * x >= 0 && x >= 0 && x1 >= 0 && x2 + -1 * x1 >= 1 && -1 * x1 >= -8
17.23/6.72	
17.23/6.72	----------------------------------------
17.23/6.72	
17.23/6.72	(25) IRSwTTerminationDigraphProof (EQUIVALENT)
17.23/6.72	Constructed termination digraph!
17.23/6.72	Nodes:
17.23/6.72	(1) f2957_0_main_Load(java.lang.Object(ARRAY(x)), x1, x2, x, x3, x) -> f2957_0_main_Load(java.lang.Object(ARRAY(x)), x1 + 2, 10, x, x3, x) :|: TRUE && x3 + -1 * x >= 0 && x >= 0 && x1 >= 0 && x2 + -1 * x1 >= 1 && -1 * x1 >= -8
17.23/6.72	
17.23/6.72	Arcs:
17.23/6.72	(1) -> (1)
17.23/6.72	
17.23/6.72	This digraph is fully evaluated!
17.23/6.72	----------------------------------------
17.23/6.72	
17.23/6.72	(26)
17.23/6.72	Obligation:
17.23/6.72	
17.23/6.72	Termination digraph:
17.23/6.72	Nodes:
17.23/6.72	(1) f2957_0_main_Load(java.lang.Object(ARRAY(x)), x1, x2, x, x3, x) -> f2957_0_main_Load(java.lang.Object(ARRAY(x)), x1 + 2, 10, x, x3, x) :|: TRUE && x3 + -1 * x >= 0 && x >= 0 && x1 >= 0 && x2 + -1 * x1 >= 1 && -1 * x1 >= -8
17.23/6.72	
17.23/6.72	Arcs:
17.23/6.72	(1) -> (1)
17.23/6.72	
17.23/6.72	This digraph is fully evaluated!
17.23/6.72	
17.23/6.72	----------------------------------------
17.23/6.72	
17.23/6.72	(27) IntTRSCompressionProof (EQUIVALENT)
17.23/6.72	Compressed rules.
17.23/6.72	----------------------------------------
17.23/6.72	
17.23/6.72	(28)
17.23/6.72	Obligation:
17.23/6.72	Rules:
17.23/6.72	f2957_0_main_Load(java.lang.Object(ARRAY(x:0)), x1:0, x2:0, x:0, x3:0, x:0) -> f2957_0_main_Load(java.lang.Object(ARRAY(x:0)), x1:0 + 2, 10, x:0, x3:0, x:0) :|: x2:0 + -1 * x1:0 >= 1 && -8 <= -1 * x1:0 && x1:0 > -1 && x3:0 + -1 * x:0 >= 0 && x:0 > -1
17.23/6.72	
17.23/6.72	----------------------------------------
17.23/6.72	
17.23/6.72	(29) TempFilterProof (SOUND)
17.23/6.72	Used the following sort dictionary for filtering: 
17.23/6.72	f2957_0_main_Load(VARIABLE, INTEGER, VARIABLE, INTEGER, INTEGER, INTEGER)
17.23/6.72	java.lang.Object(VARIABLE)
17.23/6.72	ARRAY(INTEGER)
17.23/6.72	Replaced non-predefined constructor symbols by 0.
17.23/6.72	----------------------------------------
17.23/6.72	
17.23/6.72	(30)
17.23/6.72	Obligation:
17.23/6.72	Rules:
17.23/6.72	f2957_0_main_Load(c, x1:0, x2:0, x:0, x3:0, x:0) -> f2957_0_main_Load(c1, c2, c3, x:0, x3:0, x:0) :|: c3 = 10 && (c2 = x1:0 + 2 && (c1 = 0 && c = 0)) && (x2:0 + -1 * x1:0 >= 1 && -8 <= -1 * x1:0 && x1:0 > -1 && x3:0 + -1 * x:0 >= 0 && x:0 > -1)
17.23/6.72	
17.23/6.72	----------------------------------------
17.23/6.72	
17.23/6.72	(31) RankingReductionPairProof (EQUIVALENT)
17.23/6.72	Interpretation:
17.23/6.72	[ f2957_0_main_Load ] = -1/2*f2957_0_main_Load_2
17.23/6.72	
17.23/6.72	The following rules are decreasing:
17.23/6.72	f2957_0_main_Load(c, x1:0, x2:0, x:0, x3:0, x:0) -> f2957_0_main_Load(c1, c2, c3, x:0, x3:0, x:0) :|: c3 = 10 && (c2 = x1:0 + 2 && (c1 = 0 && c = 0)) && (x2:0 + -1 * x1:0 >= 1 && -8 <= -1 * x1:0 && x1:0 > -1 && x3:0 + -1 * x:0 >= 0 && x:0 > -1)
17.23/6.72	
17.23/6.72	The following rules are bounded:
17.23/6.72	f2957_0_main_Load(c, x1:0, x2:0, x:0, x3:0, x:0) -> f2957_0_main_Load(c1, c2, c3, x:0, x3:0, x:0) :|: c3 = 10 && (c2 = x1:0 + 2 && (c1 = 0 && c = 0)) && (x2:0 + -1 * x1:0 >= 1 && -8 <= -1 * x1:0 && x1:0 > -1 && x3:0 + -1 * x:0 >= 0 && x:0 > -1)
17.23/6.72	
17.23/6.72	
17.23/6.72	----------------------------------------
17.23/6.72	
17.23/6.72	(32)
17.23/6.72	YES
17.23/6.76	EOF