/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.jar /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.jar # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty termination of the given Bare JBC problem could be proven: (0) Bare JBC problem (1) BareJBCToJBCProof [EQUIVALENT, 96 ms] (2) JBC problem (3) JBCToGraph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, 564 ms] (4) JBCTerminationGraph (5) TerminationGraphToSCCProof [SOUND, 0 ms] (6) AND (7) JBCTerminationSCC (8) SCCToIRSProof [SOUND, 99 ms] (9) IRSwT (10) IRSFormatTransformerProof [EQUIVALENT, 0 ms] (11) IRSwT (12) IRSwTTerminationDigraphProof [EQUIVALENT, 18 ms] (13) IRSwT (14) IntTRSCompressionProof [EQUIVALENT, 0 ms] (15) IRSwT (16) TempFilterProof [SOUND, 27 ms] (17) IntTRS (18) RankingReductionPairProof [EQUIVALENT, 14 ms] (19) YES (20) JBCTerminationSCC (21) SCCToIRSProof [SOUND, 72 ms] (22) IRSwT (23) IRSFormatTransformerProof [EQUIVALENT, 0 ms] (24) IRSwT (25) IRSwTTerminationDigraphProof [EQUIVALENT, 27 ms] (26) IRSwT (27) IntTRSCompressionProof [EQUIVALENT, 0 ms] (28) IRSwT (29) TempFilterProof [SOUND, 9 ms] (30) IntTRS (31) RankingReductionPairProof [EQUIVALENT, 0 ms] (32) YES ---------------------------------------- (0) Obligation: need to prove termination of the following program: public class ListContent{ public static void main(String[] args) { Random.args = args; IntList l = IntList.createIntList(); while (l.value > 0) l.value--; } } class IntList { int value; IntList next; public IntList(int value, IntList next) { this.value = value; this.next = next; } public static IntList createIntList() { int i = Random.random(); IntList l = null; while (i > 0) { l = new IntList(Random.random(), l); i--; } return l; } } public class Random { static String[] args; static int index = 0; public static int random() { String string = args[index]; index++; return string.length(); } } ---------------------------------------- (1) BareJBCToJBCProof (EQUIVALENT) initialized classpath ---------------------------------------- (2) Obligation: need to prove termination of the following program: public class ListContent{ public static void main(String[] args) { Random.args = args; IntList l = IntList.createIntList(); while (l.value > 0) l.value--; } } class IntList { int value; IntList next; public IntList(int value, IntList next) { this.value = value; this.next = next; } public static IntList createIntList() { int i = Random.random(); IntList l = null; while (i > 0) { l = new IntList(Random.random(), l); i--; } return l; } } public class Random { static String[] args; static int index = 0; public static int random() { String string = args[index]; index++; return string.length(); } } ---------------------------------------- (3) JBCToGraph (EQUIVALENT) Constructed TerminationGraph. ---------------------------------------- (4) Obligation: Termination Graph based on JBC Program: ListContent.main([Ljava/lang/String;)V: Graph of 65 nodes with 1 SCC. IntList.createIntList()LIntList;: Graph of 277 nodes with 1 SCC. ---------------------------------------- (5) TerminationGraphToSCCProof (SOUND) Splitted TerminationGraph to 2 SCCss. ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: SCC of termination graph based on JBC Program. SCC contains nodes from the following methods: IntList.createIntList()LIntList; SCC calls the following helper methods: Performed SCC analyses: *Used field analysis yielded the following read fields: *java.lang.String: [count] *Marker field analysis yielded the following relations that could be markers: ---------------------------------------- (8) SCCToIRSProof (SOUND) Transformed FIGraph SCCs to intTRSs. Log: Generated rules. Obtained 39 IRulesP rules: f2321_0_createIntList_LE(EOS(STATIC_2321(java.lang.Object(ARRAY(i6)))), i450, i450) -> f2336_0_createIntList_LE(EOS(STATIC_2336(java.lang.Object(ARRAY(i6)))), i450, i450) :|: TRUE f2336_0_createIntList_LE(EOS(STATIC_2336(java.lang.Object(ARRAY(i6)))), i450, i450) -> f2345_0_createIntList_New(EOS(STATIC_2345(java.lang.Object(ARRAY(i6)))), i450) :|: i450 > 0 f2345_0_createIntList_New(EOS(STATIC_2345(java.lang.Object(ARRAY(i6)))), i450) -> f2350_0_createIntList_Duplicate(EOS(STATIC_2350(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2350_0_createIntList_Duplicate(EOS(STATIC_2350(java.lang.Object(ARRAY(i6)))), i450) -> f2359_0_createIntList_InvokeMethod(EOS(STATIC_2359(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2359_0_createIntList_InvokeMethod(EOS(STATIC_2359(java.lang.Object(ARRAY(i6)))), i450) -> f2377_0_random_FieldAccess(EOS(STATIC_2377(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2377_0_random_FieldAccess(EOS(STATIC_2377(java.lang.Object(ARRAY(i6)))), i450) -> f2390_0_random_FieldAccess(EOS(STATIC_2390(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(ARRAY(i6))) :|: TRUE f2390_0_random_FieldAccess(EOS(STATIC_2390(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(ARRAY(i6))) -> f2399_0_random_ArrayAccess(EOS(STATIC_2399(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(ARRAY(i6))) :|: TRUE f2399_0_random_ArrayAccess(EOS(STATIC_2399(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(ARRAY(i6))) -> f2401_0_random_ArrayAccess(EOS(STATIC_2401(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(ARRAY(i6))) :|: TRUE f2401_0_random_ArrayAccess(EOS(STATIC_2401(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(ARRAY(i6))) -> f2408_0_random_Store(EOS(STATIC_2408(java.lang.Object(ARRAY(i6)))), i450, o228) :|: TRUE f2408_0_random_Store(EOS(STATIC_2408(java.lang.Object(ARRAY(i6)))), i450, o228) -> f2411_0_random_FieldAccess(EOS(STATIC_2411(java.lang.Object(ARRAY(i6)))), i450, o228) :|: TRUE f2411_0_random_FieldAccess(EOS(STATIC_2411(java.lang.Object(ARRAY(i6)))), i450, o228) -> f2413_0_random_ConstantStackPush(EOS(STATIC_2413(java.lang.Object(ARRAY(i6)))), i450, o228) :|: TRUE f2413_0_random_ConstantStackPush(EOS(STATIC_2413(java.lang.Object(ARRAY(i6)))), i450, o228) -> f2419_0_random_IntArithmetic(EOS(STATIC_2419(java.lang.Object(ARRAY(i6)))), i450, o228) :|: TRUE f2419_0_random_IntArithmetic(EOS(STATIC_2419(java.lang.Object(ARRAY(i6)))), i450, o228) -> f2427_0_random_FieldAccess(EOS(STATIC_2427(java.lang.Object(ARRAY(i6)))), i450, o228) :|: TRUE f2427_0_random_FieldAccess(EOS(STATIC_2427(java.lang.Object(ARRAY(i6)))), i450, o228) -> f2432_0_random_Load(EOS(STATIC_2432(java.lang.Object(ARRAY(i6)))), i450, o228) :|: TRUE f2432_0_random_Load(EOS(STATIC_2432(java.lang.Object(ARRAY(i6)))), i450, o228) -> f2446_0_random_InvokeMethod(EOS(STATIC_2446(java.lang.Object(ARRAY(i6)))), i450, o228) :|: TRUE f2446_0_random_InvokeMethod(EOS(STATIC_2446(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(o231sub)) -> f2450_0_random_InvokeMethod(EOS(STATIC_2450(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(o231sub)) :|: TRUE f2450_0_random_InvokeMethod(EOS(STATIC_2450(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(o232sub)) -> f2454_0_random_InvokeMethod(EOS(STATIC_2454(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(o232sub)) :|: TRUE f2454_0_random_InvokeMethod(EOS(STATIC_2454(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(o232sub)) -> f2465_0_length_Load(EOS(STATIC_2465(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(o232sub)) :|: TRUE f2465_0_length_Load(EOS(STATIC_2465(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(o232sub)) -> f2482_0_length_FieldAccess(EOS(STATIC_2482(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(o232sub)) :|: TRUE f2482_0_length_FieldAccess(EOS(STATIC_2482(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(java.lang.String(EOC, i493))) -> f2492_0_length_FieldAccess(EOS(STATIC_2492(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(java.lang.String(EOC, i493))) :|: TRUE f2492_0_length_FieldAccess(EOS(STATIC_2492(java.lang.Object(ARRAY(i6)))), i450, java.lang.Object(java.lang.String(EOC, i493))) -> f2498_0_length_Return(EOS(STATIC_2498(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2498_0_length_Return(EOS(STATIC_2498(java.lang.Object(ARRAY(i6)))), i450) -> f2507_0_random_Return(EOS(STATIC_2507(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2507_0_random_Return(EOS(STATIC_2507(java.lang.Object(ARRAY(i6)))), i450) -> f2516_0_createIntList_Load(EOS(STATIC_2516(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2516_0_createIntList_Load(EOS(STATIC_2516(java.lang.Object(ARRAY(i6)))), i450) -> f2525_0_createIntList_InvokeMethod(EOS(STATIC_2525(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2525_0_createIntList_InvokeMethod(EOS(STATIC_2525(java.lang.Object(ARRAY(i6)))), i450) -> f2535_0__init__Load(EOS(STATIC_2535(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2535_0__init__Load(EOS(STATIC_2535(java.lang.Object(ARRAY(i6)))), i450) -> f2559_0__init__InvokeMethod(EOS(STATIC_2559(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2559_0__init__InvokeMethod(EOS(STATIC_2559(java.lang.Object(ARRAY(i6)))), i450) -> f2577_0__init__Load(EOS(STATIC_2577(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2577_0__init__Load(EOS(STATIC_2577(java.lang.Object(ARRAY(i6)))), i450) -> f2596_0__init__Load(EOS(STATIC_2596(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2596_0__init__Load(EOS(STATIC_2596(java.lang.Object(ARRAY(i6)))), i450) -> f2608_0__init__FieldAccess(EOS(STATIC_2608(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2608_0__init__FieldAccess(EOS(STATIC_2608(java.lang.Object(ARRAY(i6)))), i450) -> f2623_0__init__Load(EOS(STATIC_2623(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2623_0__init__Load(EOS(STATIC_2623(java.lang.Object(ARRAY(i6)))), i450) -> f2639_0__init__Load(EOS(STATIC_2639(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2639_0__init__Load(EOS(STATIC_2639(java.lang.Object(ARRAY(i6)))), i450) -> f2650_0__init__FieldAccess(EOS(STATIC_2650(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2650_0__init__FieldAccess(EOS(STATIC_2650(java.lang.Object(ARRAY(i6)))), i450) -> f2689_0__init__Return(EOS(STATIC_2689(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2689_0__init__Return(EOS(STATIC_2689(java.lang.Object(ARRAY(i6)))), i450) -> f2702_0_createIntList_Store(EOS(STATIC_2702(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2702_0_createIntList_Store(EOS(STATIC_2702(java.lang.Object(ARRAY(i6)))), i450) -> f2731_0_createIntList_Inc(EOS(STATIC_2731(java.lang.Object(ARRAY(i6)))), i450) :|: TRUE f2731_0_createIntList_Inc(EOS(STATIC_2731(java.lang.Object(ARRAY(i6)))), i450) -> f2742_0_createIntList_JMP(EOS(STATIC_2742(java.lang.Object(ARRAY(i6)))), i450 + -1) :|: TRUE f2742_0_createIntList_JMP(EOS(STATIC_2742(java.lang.Object(ARRAY(i6)))), i537) -> f2816_0_createIntList_Load(EOS(STATIC_2816(java.lang.Object(ARRAY(i6)))), i537) :|: TRUE f2816_0_createIntList_Load(EOS(STATIC_2816(java.lang.Object(ARRAY(i6)))), i537) -> f2282_0_createIntList_Load(EOS(STATIC_2282(java.lang.Object(ARRAY(i6)))), i537) :|: TRUE f2282_0_createIntList_Load(EOS(STATIC_2282(java.lang.Object(ARRAY(i6)))), i415) -> f2321_0_createIntList_LE(EOS(STATIC_2321(java.lang.Object(ARRAY(i6)))), i415, i415) :|: TRUE Combined rules. Obtained 1 IRulesP rules: f2321_0_createIntList_LE(EOS(STATIC_2321(java.lang.Object(ARRAY(i6:0)))), i450:0, i450:0) -> f2321_0_createIntList_LE(EOS(STATIC_2321(java.lang.Object(ARRAY(i6:0)))), i450:0 - 1, i450:0 - 1) :|: i450:0 > 0 Filtered duplicate arguments: f2321_0_createIntList_LE(x1, x2, x3) -> f2321_0_createIntList_LE(x1, x3) Filtered unneeded arguments: f2321_0_createIntList_LE(x1, x2) -> f2321_0_createIntList_LE(x2) Finished conversion. Obtained 1 rules.P rules: f2321_0_createIntList_LE(i450:0) -> f2321_0_createIntList_LE(i450:0 - 1) :|: i450:0 > 0 ---------------------------------------- (9) Obligation: Rules: f2321_0_createIntList_LE(i450:0) -> f2321_0_createIntList_LE(i450:0 - 1) :|: i450:0 > 0 ---------------------------------------- (10) IRSFormatTransformerProof (EQUIVALENT) Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %). ---------------------------------------- (11) Obligation: Rules: f2321_0_createIntList_LE(i450:0) -> f2321_0_createIntList_LE(arith) :|: i450:0 > 0 && arith = i450:0 - 1 ---------------------------------------- (12) IRSwTTerminationDigraphProof (EQUIVALENT) Constructed termination digraph! Nodes: (1) f2321_0_createIntList_LE(i450:0) -> f2321_0_createIntList_LE(arith) :|: i450:0 > 0 && arith = i450:0 - 1 Arcs: (1) -> (1) This digraph is fully evaluated! ---------------------------------------- (13) Obligation: Termination digraph: Nodes: (1) f2321_0_createIntList_LE(i450:0) -> f2321_0_createIntList_LE(arith) :|: i450:0 > 0 && arith = i450:0 - 1 Arcs: (1) -> (1) This digraph is fully evaluated! ---------------------------------------- (14) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (15) Obligation: Rules: f2321_0_createIntList_LE(i450:0:0) -> f2321_0_createIntList_LE(i450:0:0 - 1) :|: i450:0:0 > 0 ---------------------------------------- (16) TempFilterProof (SOUND) Used the following sort dictionary for filtering: f2321_0_createIntList_LE(INTEGER) Replaced non-predefined constructor symbols by 0. ---------------------------------------- (17) Obligation: Rules: f2321_0_createIntList_LE(i450:0:0) -> f2321_0_createIntList_LE(c) :|: c = i450:0:0 - 1 && i450:0:0 > 0 ---------------------------------------- (18) RankingReductionPairProof (EQUIVALENT) Interpretation: [ f2321_0_createIntList_LE ] = f2321_0_createIntList_LE_1 The following rules are decreasing: f2321_0_createIntList_LE(i450:0:0) -> f2321_0_createIntList_LE(c) :|: c = i450:0:0 - 1 && i450:0:0 > 0 The following rules are bounded: f2321_0_createIntList_LE(i450:0:0) -> f2321_0_createIntList_LE(c) :|: c = i450:0:0 - 1 && i450:0:0 > 0 ---------------------------------------- (19) YES ---------------------------------------- (20) Obligation: SCC of termination graph based on JBC Program. SCC contains nodes from the following methods: ListContent.main([Ljava/lang/String;)V SCC calls the following helper methods: Performed SCC analyses: *Used field analysis yielded the following read fields: *IntList: [value] *Marker field analysis yielded the following relations that could be markers: ---------------------------------------- (21) SCCToIRSProof (SOUND) Transformed FIGraph SCCs to intTRSs. Log: Generated rules. Obtained 14 IRulesP rules: f1844_0_main_FieldAccess(EOS(STATIC_1844), java.lang.Object(o165sub), java.lang.Object(o165sub)) -> f1850_0_main_FieldAccess(EOS(STATIC_1850), java.lang.Object(o165sub), java.lang.Object(o165sub)) :|: TRUE f1850_0_main_FieldAccess(EOS(STATIC_1850), java.lang.Object(IntList(EOC, i329)), java.lang.Object(IntList(EOC, i329))) -> f1862_0_main_FieldAccess(EOS(STATIC_1862), java.lang.Object(IntList(EOC, i329)), java.lang.Object(IntList(EOC, i329))) :|: TRUE f1862_0_main_FieldAccess(EOS(STATIC_1862), java.lang.Object(IntList(EOC, i329)), java.lang.Object(IntList(EOC, i329))) -> f1869_0_main_LE(EOS(STATIC_1869), java.lang.Object(IntList(EOC, i329)), i329) :|: TRUE f1869_0_main_LE(EOS(STATIC_1869), java.lang.Object(IntList(EOC, i334)), i334) -> f1884_0_main_LE(EOS(STATIC_1884), java.lang.Object(IntList(EOC, i334)), i334) :|: TRUE f1884_0_main_LE(EOS(STATIC_1884), java.lang.Object(IntList(EOC, i334)), i334) -> f1896_0_main_Load(EOS(STATIC_1896), java.lang.Object(IntList(EOC, i334))) :|: i334 > 0 f1896_0_main_Load(EOS(STATIC_1896), java.lang.Object(IntList(EOC, i334))) -> f1905_0_main_Duplicate(EOS(STATIC_1905), java.lang.Object(IntList(EOC, i334)), java.lang.Object(IntList(EOC, i334))) :|: TRUE f1905_0_main_Duplicate(EOS(STATIC_1905), java.lang.Object(IntList(EOC, i334)), java.lang.Object(IntList(EOC, i334))) -> f1917_0_main_FieldAccess(EOS(STATIC_1917), java.lang.Object(IntList(EOC, i334)), java.lang.Object(IntList(EOC, i334)), java.lang.Object(IntList(EOC, i334))) :|: TRUE f1917_0_main_FieldAccess(EOS(STATIC_1917), java.lang.Object(IntList(EOC, i334)), java.lang.Object(IntList(EOC, i334)), java.lang.Object(IntList(EOC, i334))) -> f1931_0_main_ConstantStackPush(EOS(STATIC_1931), java.lang.Object(IntList(EOC, i334)), java.lang.Object(IntList(EOC, i334)), i334) :|: TRUE f1931_0_main_ConstantStackPush(EOS(STATIC_1931), java.lang.Object(IntList(EOC, i334)), java.lang.Object(IntList(EOC, i334)), i334) -> f1940_0_main_IntArithmetic(EOS(STATIC_1940), java.lang.Object(IntList(EOC, i334)), java.lang.Object(IntList(EOC, i334)), i334, 1) :|: TRUE f1940_0_main_IntArithmetic(EOS(STATIC_1940), java.lang.Object(IntList(EOC, i334)), java.lang.Object(IntList(EOC, i334)), i334, matching1) -> f1954_0_main_FieldAccess(EOS(STATIC_1954), java.lang.Object(IntList(EOC, i334)), java.lang.Object(IntList(EOC, i334)), i334 - 1) :|: i334 > 0 && matching1 = 1 f1954_0_main_FieldAccess(EOS(STATIC_1954), java.lang.Object(IntList(EOC, i334)), java.lang.Object(IntList(EOC, i334)), i347) -> f1962_0_main_JMP(EOS(STATIC_1962), java.lang.Object(IntList(EOC, i347))) :|: TRUE f1962_0_main_JMP(EOS(STATIC_1962), java.lang.Object(IntList(EOC, i347))) -> f1977_0_main_Load(EOS(STATIC_1977), java.lang.Object(IntList(EOC, i347))) :|: TRUE f1977_0_main_Load(EOS(STATIC_1977), java.lang.Object(IntList(EOC, i347))) -> f1832_0_main_Load(EOS(STATIC_1832), java.lang.Object(IntList(EOC, i347))) :|: TRUE f1832_0_main_Load(EOS(STATIC_1832), o157) -> f1844_0_main_FieldAccess(EOS(STATIC_1844), o157, o157) :|: TRUE Combined rules. Obtained 1 IRulesP rules: f1844_0_main_FieldAccess(EOS(STATIC_1844), java.lang.Object(IntList(EOC, i329:0)), java.lang.Object(IntList(EOC, i329:0))) -> f1844_0_main_FieldAccess(EOS(STATIC_1844), java.lang.Object(IntList(EOC, i329:0 - 1)), java.lang.Object(IntList(EOC, i329:0 - 1))) :|: i329:0 > 0 Filtered constant ground arguments: f1844_0_main_FieldAccess(x1, x2, x3) -> f1844_0_main_FieldAccess(x2, x3) EOS(x1) -> EOS IntList(x1, x2) -> IntList(x2) Filtered duplicate arguments: f1844_0_main_FieldAccess(x1, x2) -> f1844_0_main_FieldAccess(x2) Finished conversion. Obtained 1 rules.P rules: f1844_0_main_FieldAccess(java.lang.Object(IntList(i329:0)), i329:0) -> f1844_0_main_FieldAccess(java.lang.Object(IntList(i329:0 - 1)), i329:0 - 1) :|: i329:0 > 0 ---------------------------------------- (22) Obligation: Rules: f1844_0_main_FieldAccess(java.lang.Object(IntList(i329:0)), i329:0) -> f1844_0_main_FieldAccess(java.lang.Object(IntList(i329:0 - 1)), i329:0 - 1) :|: i329:0 > 0 ---------------------------------------- (23) IRSFormatTransformerProof (EQUIVALENT) Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %). ---------------------------------------- (24) Obligation: Rules: f1844_0_main_FieldAccess(java.lang.Object(IntList(i329:0)), i329:0) -> f1844_0_main_FieldAccess(java.lang.Object(IntList(arith)), arith) :|: i329:0 > 0 && arith = i329:0 - 1 && arith = i329:0 - 1 ---------------------------------------- (25) IRSwTTerminationDigraphProof (EQUIVALENT) Constructed termination digraph! Nodes: (1) f1844_0_main_FieldAccess(java.lang.Object(IntList(i329:0)), i329:0) -> f1844_0_main_FieldAccess(java.lang.Object(IntList(arith)), arith) :|: i329:0 > 0 && arith = i329:0 - 1 && arith = i329:0 - 1 Arcs: (1) -> (1) This digraph is fully evaluated! ---------------------------------------- (26) Obligation: Termination digraph: Nodes: (1) f1844_0_main_FieldAccess(java.lang.Object(IntList(i329:0)), i329:0) -> f1844_0_main_FieldAccess(java.lang.Object(IntList(arith)), arith) :|: i329:0 > 0 && arith = i329:0 - 1 && arith = i329:0 - 1 Arcs: (1) -> (1) This digraph is fully evaluated! ---------------------------------------- (27) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (28) Obligation: Rules: f1844_0_main_FieldAccess(java.lang.Object(IntList(i329:0:0)), i329:0:0) -> f1844_0_main_FieldAccess(java.lang.Object(IntList(i329:0:0 - 1)), i329:0:0 - 1) :|: i329:0:0 > 0 ---------------------------------------- (29) TempFilterProof (SOUND) Used the following sort dictionary for filtering: f1844_0_main_FieldAccess(VARIABLE, INTEGER) java.lang.Object(VARIABLE) IntList(INTEGER) Replaced non-predefined constructor symbols by 0. ---------------------------------------- (30) Obligation: Rules: f1844_0_main_FieldAccess(c, i329:0:0) -> f1844_0_main_FieldAccess(c1, c2) :|: c2 = i329:0:0 - 1 && (c1 = 0 && c = 0) && i329:0:0 > 0 ---------------------------------------- (31) RankingReductionPairProof (EQUIVALENT) Interpretation: [ f1844_0_main_FieldAccess ] = f1844_0_main_FieldAccess_2 The following rules are decreasing: f1844_0_main_FieldAccess(c, i329:0:0) -> f1844_0_main_FieldAccess(c1, c2) :|: c2 = i329:0:0 - 1 && (c1 = 0 && c = 0) && i329:0:0 > 0 The following rules are bounded: f1844_0_main_FieldAccess(c, i329:0:0) -> f1844_0_main_FieldAccess(c1, c2) :|: c2 = i329:0:0 - 1 && (c1 = 0 && c = 0) && i329:0:0 > 0 ---------------------------------------- (32) YES