/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.jar /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.jar # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty termination of the given Bare JBC problem could be disproven: (0) Bare JBC problem (1) BareJBCToJBCProof [EQUIVALENT, 96 ms] (2) JBC problem (3) JBCToGraph [EQUIVALENT, 243 ms] (4) JBCTerminationGraph (5) JBCNonTerm [COMPLETE, 114 ms] (6) NO ---------------------------------------- (0) Obligation: need to prove termination of the following program: package simple.even; public class Even { // does not terminate for negative numbers public static boolean even(int i) { while (i != 1 && i != 0) { i = i-2; } return (i == 0); } } package simple.even; public class Main { /** * @param args */ public static void main(String[] args) { int even = args[1].length(); if (args[0].length() % 2 == 0) { even = -even; } Even.even(even); } } ---------------------------------------- (1) BareJBCToJBCProof (EQUIVALENT) initialized classpath ---------------------------------------- (2) Obligation: need to prove termination of the following program: package simple.even; public class Even { // does not terminate for negative numbers public static boolean even(int i) { while (i != 1 && i != 0) { i = i-2; } return (i == 0); } } package simple.even; public class Main { /** * @param args */ public static void main(String[] args) { int even = args[1].length(); if (args[0].length() % 2 == 0) { even = -even; } Even.even(even); } } ---------------------------------------- (3) JBCToGraph (EQUIVALENT) Constructed TerminationGraph. ---------------------------------------- (4) Obligation: Termination Graph based on JBC Program: simple.even.Main.main([Ljava/lang/String;)V: Graph of 143 nodes with 2 SCCs. ---------------------------------------- (5) JBCNonTerm (COMPLETE) Reached a loop using the following run: 0: o33!: String(count=0, hash=#, offset=0, value=o34?) -->{java.lang.Object...} a2([java.lang.String...]): {o33, o15} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o34:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a2-><-o34 a2-><-o33 a2-><-o16 a2-><-o15 YES: (JL1) 1: o33!: String(count=0, hash=#, offset=0, value=o34?) -->{java.lang.Object...} a2([java.lang.String...]): {o33, o15} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o34:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a2-><-o34 a2-><-o33 a2-><-o16 a2-><-o15 YES: (JL1) 2: o33!: String(count=0, hash=#, offset=0, value=o34?) -->{java.lang.Object...} a2([java.lang.String...]): {o33, o15} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o34:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a2-><-o34 a2-><-o33 a2-><-o16 a2-><-o15 YES: (JL1) 3: o33!: String(count=0, hash=#, offset=0, value=o34?) -->{java.lang.Object...} a2([java.lang.String...]): {o33, o15} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o34:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a2-><-o34 a2-><-o33 a2-><-o16 a2-><-o15 YES: (JL1) 4: o33!: String(count=0, hash=#, offset=0, value=o34?) -->{java.lang.Object...} a2([java.lang.String...]): {o33, o15} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o34:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a2-><-o34 a2-><-o33 a2-><-o16 a2-><-o15 YES: (JL1) 5: o33!: String(count=0, hash=#, offset=0, value=o34?) -->{java.lang.Object...} a2([java.lang.String...]): {o33, o15} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o34:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a2-><-o34 a2-><-o33 a2-><-o16 a2-><-o15 YES: (JL1) 6: o33!: String(count=0, hash=#, offset=0, value=o34?) -->{java.lang.Object...} a2([java.lang.String...]): {o33, o15} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o34:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a2-><-o34 a2-><-o33 a2-><-o16 a2-><-o15 YES: (JL1) 7: o33!: String(count=0, hash=#, offset=0, value=o34?) -->{java.lang.Object...} a2([java.lang.String...]): {o33, o15} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o34:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a2-><-o34 a2-><-o33 a2-><-o16 a2-><-o15 YES: (JL1) 8: o33!: String(count=0, hash=#, offset=0, value=o34?) -->{java.lang.Object...} a2([java.lang.String...]): {o33, o15} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o34:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a2-><-o34 a2-><-o33 a2-><-o16 a2-><-o15 YES: (JL1) 9: o33!: String(count=0, hash=#, offset=0, value=o34?) -->{java.lang.Object...} a2([java.lang.String...]): {o33, o15} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o34:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a2-><-o34 a2-><-o33 a2-><-o16 a2-><-o15 YES: (JL1) 10: o33!: String(count=0, hash=#, offset=0, value=o34?) -->{java.lang.Object...} a2([java.lang.String...]): {o33, o15} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o34:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a2-><-o34 a2-><-o33 a2-><-o16 a2-><-o15 YES: (JL1) 11: o33!: String(count=0, hash=#, offset=0, value=o34?) -->{java.lang.Object...} o34:: [CHAR] -->{java.lang.Object...} YES: (JL1) 12: o33!: String(count=0, hash=#, offset=0, value=o34?) -->{java.lang.Object...} o34:: [CHAR] -->{java.lang.Object...} YES: (JL1) 13: o33!: String(count=0, hash=#, offset=0, value=o34?) -->{java.lang.Object...} o34:: [CHAR] -->{java.lang.Object...} YES: (JL1) 14: YES: (JL1) 15: YES: (JL1) 16: YES: (JL1) 17: YES: (JL1) 18: YES: (JL1) 19: YES: (JL1) 20: YES: (JL1) 21: YES: (JL1) 22: YES: (JL1) 23: YES: (JL1) Start state of loop: [a2(lv_0_0)] a2([java.lang.String...]): length i6 -->{java.lang.Object...} i6: [2,+inf){0,+inf} i36: (-inf,0]{-inf,+inf} YES: (JL1) In the loop head node, references [i36] were interesting. All methods calls in the loop body are side-effect free, hence they can be ignored. By SMT, we could prove ((initial_i36 <= 0 and 2 <= initial_i6) and (((path1_i36 = path1_i45 and path1_i73 = (path1_i45 - 2) and path1_i73 = res_i36 and path1_i36 = initial_i36) and (path1_i36 < 1 and path1_i45 < 0)) and ((res1_i36 = res1_i45 and res1_i73 = (res1_i45 - 2) and res_i36 = res1_i36) and !(res1_i36 < 1 and res1_i45 < 0)))) to be UNSAT. Consequently, the loop will not terminate. ---------------------------------------- (6) NO