/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.jar /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty termination of the given Bare JBC problem could be disproven: (0) Bare JBC problem (1) BareJBCToJBCProof [EQUIVALENT, 96 ms] (2) JBC problem (3) JBCToGraph [EQUIVALENT, 311 ms] (4) JBCTerminationGraph (5) JBCNonTerm [COMPLETE, 218 ms] (6) NO ---------------------------------------- (0) Obligation: need to prove termination of the following program: public class NonPeriodicNonterm2 { public static void main(String[] args) { int x = args[0].length(); int y = args[1].length(); while(x >= y) { int z = x - y; if (z > 0) { x--; } else { x = 2*x + 1; y++; } } } } ---------------------------------------- (1) BareJBCToJBCProof (EQUIVALENT) initialized classpath ---------------------------------------- (2) Obligation: need to prove termination of the following program: public class NonPeriodicNonterm2 { public static void main(String[] args) { int x = args[0].length(); int y = args[1].length(); while(x >= y) { int z = x - y; if (z > 0) { x--; } else { x = 2*x + 1; y++; } } } } ---------------------------------------- (3) JBCToGraph (EQUIVALENT) Constructed TerminationGraph. ---------------------------------------- (4) Obligation: Termination Graph based on JBC Program: NonPeriodicNonterm2.main([Ljava/lang/String;)V: Graph of 144 nodes with 1 SCC. ---------------------------------------- (5) JBCNonTerm (COMPLETE) Reached a loop using the following run: 0: o37!: String(count=0, hash=#, offset=0, value=o38?) -->{java.lang.Object...} a12([java.lang.String...]): {o15, o37} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o38:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a12-><-o38 a12-><-o37 a12-><-o16 a12-><-o15 YES: (JL1) 1: o37!: String(count=0, hash=#, offset=0, value=o38?) -->{java.lang.Object...} a12([java.lang.String...]): {o15, o37} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o38:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a12-><-o38 a12-><-o37 a12-><-o16 a12-><-o15 YES: (JL1) 2: o37!: String(count=0, hash=#, offset=0, value=o38?) -->{java.lang.Object...} a12([java.lang.String...]): {o15, o37} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o38:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a12-><-o38 a12-><-o37 a12-><-o16 a12-><-o15 YES: (JL1) 3: o37!: String(count=0, hash=#, offset=0, value=o38?) -->{java.lang.Object...} a12([java.lang.String...]): {o15, o37} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o38:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a12-><-o38 a12-><-o37 a12-><-o16 a12-><-o15 YES: (JL1) 4: o37!: String(count=0, hash=#, offset=0, value=o38?) -->{java.lang.Object...} a12([java.lang.String...]): {o15, o37} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o38:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a12-><-o38 a12-><-o37 a12-><-o16 a12-><-o15 YES: (JL1) 5: o37!: String(count=0, hash=#, offset=0, value=o38?) -->{java.lang.Object...} a12([java.lang.String...]): {o15, o37} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o38:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a12-><-o38 a12-><-o37 a12-><-o16 a12-><-o15 YES: (JL1) 6: o37!: String(count=0, hash=#, offset=0, value=o38?) -->{java.lang.Object...} a12([java.lang.String...]): {o15, o37} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o38:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a12-><-o38 a12-><-o37 a12-><-o16 a12-><-o15 YES: (JL1) 7: o37!: String(count=0, hash=#, offset=0, value=o38?) -->{java.lang.Object...} a12([java.lang.String...]): {o15, o37} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o38:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a12-><-o38 a12-><-o37 a12-><-o16 a12-><-o15 YES: (JL1) 8: o37!: String(count=0, hash=#, offset=0, value=o38?) -->{java.lang.Object...} a12([java.lang.String...]): {o15, o37} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o38:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a12-><-o38 a12-><-o37 a12-><-o16 a12-><-o15 YES: (JL1) 9: o37!: String(count=0, hash=#, offset=0, value=o38?) -->{java.lang.Object...} a12([java.lang.String...]): {o15, o37} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o38:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a12-><-o38 a12-><-o37 a12-><-o16 a12-><-o15 YES: (JL1) 10: o37!: String(count=0, hash=#, offset=0, value=o38?) -->{java.lang.Object...} a12([java.lang.String...]): {o15, o37} -->{java.lang.Object...} o15!: String(count=1, hash=#, offset=0, value=o16?) -->{java.lang.Object...} o38:: [CHAR] -->{java.lang.Object...} o16:: [CHAR] -->{java.lang.Object...} a12-><-o38 a12-><-o37 a12-><-o16 a12-><-o15 YES: (JL1) 11: o37!: String(count=0, hash=#, offset=0, value=o38?) -->{java.lang.Object...} o38:: [CHAR] -->{java.lang.Object...} YES: (JL1) 12: o37!: String(count=0, hash=#, offset=0, value=o38?) -->{java.lang.Object...} o38:: [CHAR] -->{java.lang.Object...} YES: (JL1) 13: o37!: String(count=0, hash=#, offset=0, value=o38?) -->{java.lang.Object...} o38:: [CHAR] -->{java.lang.Object...} YES: (JL1) 14: YES: (JL1) 15: YES: (JL1) 16: YES: (JL1) Start state of loop: [a4(lv_0_0)] i16: [2,+inf){0,+inf} a4([java.lang.String...]): length i16 -->{java.lang.Object...} i44: [-1,+inf)(l1) i30: [0,+inf) YES: (JL1) In the loop head node, references [i44, i30] were interesting. All methods calls in the loop body are side-effect free, hence they can be ignored. By SMT, we could prove ((-1 <= initial_i44 and 0 <= initial_i30 and 2 <= initial_i16) and ((((path1_i54 = (path1_i44 - path1_i30) and path1_i54 = path1_i56 and path1_i58 = (path1_i44 + -1) and path1_i58 = res_i44 and path1_i30 = res_i30 and path1_i44 = initial_i44 and path1_i30 = initial_i30) and (path1_i44 >= path1_i30 and path1_i44 >= path1_i30 and path1_i56 > 0)) or ((path2_i54 = (path2_i44 - path2_i30) and path2_i59 = (2 * path2_i44) and path2_i118 = (path2_i59 + 1) and path2_i119 = (path2_i30 + 1) and path2_i118 = res_i44 and path2_i119 = res_i30 and path2_i44 = initial_i44 and path2_i30 = initial_i30) and (path2_i44 >= path2_i30 and path2_i44 >= path2_i30 and path2_i54 = 0 and 0 <= 0))) and (((res1_i54 = (res1_i44 - res1_i30) and res1_i54 = res1_i56 and res1_i58 = (res1_i44 + -1) and res_i44 = res1_i44 and res_i30 = res1_i30) and !(res1_i44 >= res1_i30 and res1_i44 >= res1_i30 and res1_i56 > 0)) and ((res2_i54 = (res2_i44 - res2_i30) and res2_i59 = (2 * res2_i44) and res2_i118 = (res2_i59 + 1) and res2_i119 = (res2_i30 + 1) and res_i44 = res2_i44 and res_i30 = res2_i30) and !(res2_i44 >= res2_i30 and res2_i44 >= res2_i30 and res2_i54 = 0 and 0 <= 0))))) to be UNSAT. Consequently, the loop will not terminate. ---------------------------------------- (6) NO