/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.jar /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty termination of the given Bare JBC problem could be proven: (0) Bare JBC problem (1) BareJBCToJBCProof [EQUIVALENT, 96 ms] (2) JBC problem (3) JBCToGraph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, 325 ms] (4) JBCTerminationGraph (5) TerminationGraphToSCCProof [SOUND, 0 ms] (6) JBCTerminationSCC (7) SCCToIRSProof [SOUND, 101 ms] (8) IRSwT (9) IRSFormatTransformerProof [EQUIVALENT, 0 ms] (10) IRSwT (11) IRSwTTerminationDigraphProof [EQUIVALENT, 0 ms] (12) TRUE ---------------------------------------- (0) Obligation: need to prove termination of the following program: /** * Example taken from "A Term Rewriting Approach to the Automated Termination * Analysis of Imperative Programs" (http://www.cs.unm.edu/~spf/papers/2009-02.pdf) * and converted to Java. */ public class PastaB3 { public static void main(String[] args) { Random.args = args; int x = Random.random(); int y = Random.random(); if (x > 0) { while (x > y) { y = x+y; } } } } 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: /** * Example taken from "A Term Rewriting Approach to the Automated Termination * Analysis of Imperative Programs" (http://www.cs.unm.edu/~spf/papers/2009-02.pdf) * and converted to Java. */ public class PastaB3 { public static void main(String[] args) { Random.args = args; int x = Random.random(); int y = Random.random(); if (x > 0) { while (x > y) { y = x+y; } } } } 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: PastaB3.main([Ljava/lang/String;)V: Graph of 183 nodes with 1 SCC. ---------------------------------------- (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: PastaB3.main([Ljava/lang/String;)V SCC calls the following helper methods: 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 10 IRulesP rules: f378_0_main_Load(EOS(STATIC_378), i45, i49, i45) -> f380_0_main_LE(EOS(STATIC_380), i45, i49, i45, i49) :|: TRUE f380_0_main_LE(EOS(STATIC_380), i45, i49, i45, i49) -> f385_0_main_LE(EOS(STATIC_385), i45, i49, i45, i49) :|: i45 > i49 f385_0_main_LE(EOS(STATIC_385), i45, i49, i45, i49) -> f396_0_main_Load(EOS(STATIC_396), i45, i49) :|: i45 > i49 f396_0_main_Load(EOS(STATIC_396), i45, i49) -> f401_0_main_Load(EOS(STATIC_401), i45, i49, i45) :|: TRUE f401_0_main_Load(EOS(STATIC_401), i45, i49, i45) -> f402_0_main_IntArithmetic(EOS(STATIC_402), i45, i45, i49) :|: TRUE f402_0_main_IntArithmetic(EOS(STATIC_402), i45, i45, i49) -> f403_0_main_Store(EOS(STATIC_403), i45, i45 + i49) :|: i45 > 0 && i49 >= 0 f403_0_main_Store(EOS(STATIC_403), i45, i52) -> f404_0_main_JMP(EOS(STATIC_404), i45, i52) :|: TRUE f404_0_main_JMP(EOS(STATIC_404), i45, i52) -> f417_0_main_Load(EOS(STATIC_417), i45, i52) :|: TRUE f417_0_main_Load(EOS(STATIC_417), i45, i52) -> f375_0_main_Load(EOS(STATIC_375), i45, i52) :|: TRUE f375_0_main_Load(EOS(STATIC_375), i45, i49) -> f378_0_main_Load(EOS(STATIC_378), i45, i49, i45) :|: TRUE Combined rules. Obtained 1 IRulesP rules: f378_0_main_Load(EOS(STATIC_378), i45:0, i49:0, i45:0) -> f378_0_main_Load(EOS(STATIC_378), i45:0, i45:0 + i49:0, i45:0) :|: i49:0 < i45:0 && i45:0 > 0 && i49:0 > -1 Filtered constant ground arguments: f378_0_main_Load(x1, x2, x3, x4) -> f378_0_main_Load(x2, x3, x4) EOS(x1) -> EOS Filtered duplicate arguments: f378_0_main_Load(x1, x2, x3) -> f378_0_main_Load(x2, x3) Finished conversion. Obtained 1 rules.P rules: f378_0_main_Load(i49:0, i45:0) -> f378_0_main_Load(i45:0 + i49:0, i45:0) :|: i45:0 > 0 && i49:0 > -1 && i49:0 < i45:0 ---------------------------------------- (8) Obligation: Rules: f378_0_main_Load(i49:0, i45:0) -> f378_0_main_Load(i45:0 + i49:0, i45:0) :|: i45:0 > 0 && i49:0 > -1 && i49:0 < i45:0 ---------------------------------------- (9) IRSFormatTransformerProof (EQUIVALENT) Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %). ---------------------------------------- (10) Obligation: Rules: f378_0_main_Load(i49:0, i45:0) -> f378_0_main_Load(arith, i45:0) :|: i45:0 > 0 && i49:0 > -1 && i49:0 < i45:0 && arith = i45:0 + i49:0 ---------------------------------------- (11) IRSwTTerminationDigraphProof (EQUIVALENT) Constructed termination digraph! Nodes: (1) f378_0_main_Load(i49:0, i45:0) -> f378_0_main_Load(arith, i45:0) :|: i45:0 > 0 && i49:0 > -1 && i49:0 < i45:0 && arith = i45:0 + i49:0 No arcs! This digraph is fully evaluated! ---------------------------------------- (12) TRUE