0 JBC
↳1 JBCToGraph (⇒)
↳2 JBCTerminationGraph
↳3 TerminationGraphToSCCProof (⇒)
↳4 AND
↳5 JBCTerminationSCC
↳6 SCCToIDPv1Proof (⇒)
↳7 IDP
↳8 IDPNonInfProof (⇒)
↳9 AND
↳10 IDP
↳11 IDependencyGraphProof (⇔)
↳12 TRUE
↳13 IDP
↳14 IDependencyGraphProof (⇔)
↳15 IDP
↳16 IDPNonInfProof (⇒)
↳17 IDP
↳18 IDependencyGraphProof (⇔)
↳19 TRUE
↳20 JBCTerminationSCC
↳21 SCCToIDPv1Proof (⇒)
↳22 IDP
↳23 IDPNonInfProof (⇒)
↳24 AND
↳25 IDP
↳26 IDependencyGraphProof (⇔)
↳27 TRUE
↳28 IDP
↳29 IDependencyGraphProof (⇔)
↳30 TRUE
public class Max {
public static void main(String[] args) {
int[] a = new int[args.length];
for (int i = 0; i < args.length; i++) {
a[i] = args[i].length();
}
max(a);
}
public static int max(int[] a) {
int x = 0;
int y = a.length-1;
while (x != y) {
if (a[x] <= a[y]) x++;
else y--;
}
return x;
}
}
Generated 23 rules for P and 0 rules for R.
P rules:
542_0_max_Load(EOS(STATIC_542), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, i174) → 543_0_max_EQ(EOS(STATIC_543), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, i174, i175)
543_0_max_EQ(EOS(STATIC_543), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, i174, i175) → 545_0_max_EQ(EOS(STATIC_545), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, i174, i175)
545_0_max_EQ(EOS(STATIC_545), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, i174, i175) → 547_0_max_Load(EOS(STATIC_547), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175) | !(=(i174, i175))
547_0_max_Load(EOS(STATIC_547), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175) → 549_0_max_Load(EOS(STATIC_549), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, java.lang.Object(ARRAY(i97)))
549_0_max_Load(EOS(STATIC_549), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, java.lang.Object(ARRAY(i97))) → 551_0_max_ArrayAccess(EOS(STATIC_551), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, java.lang.Object(ARRAY(i97)), i174)
551_0_max_ArrayAccess(EOS(STATIC_551), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, java.lang.Object(ARRAY(i97)), i174) → 553_0_max_ArrayAccess(EOS(STATIC_553), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, java.lang.Object(ARRAY(i97)), i174)
553_0_max_ArrayAccess(EOS(STATIC_553), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, java.lang.Object(ARRAY(i97)), i174) → 556_0_max_Load(EOS(STATIC_556), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, i178) | <(i174, i97)
556_0_max_Load(EOS(STATIC_556), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, i178) → 558_0_max_Load(EOS(STATIC_558), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, i178, java.lang.Object(ARRAY(i97)))
558_0_max_Load(EOS(STATIC_558), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, i178, java.lang.Object(ARRAY(i97))) → 559_0_max_ArrayAccess(EOS(STATIC_559), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, i178, java.lang.Object(ARRAY(i97)), i175)
559_0_max_ArrayAccess(EOS(STATIC_559), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184, i178, java.lang.Object(ARRAY(i97)), i184) → 562_0_max_ArrayAccess(EOS(STATIC_562), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184, i178, java.lang.Object(ARRAY(i97)), i184)
562_0_max_ArrayAccess(EOS(STATIC_562), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184, i178, java.lang.Object(ARRAY(i97)), i184) → 565_0_max_ArrayAccess(EOS(STATIC_565), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184, i178, java.lang.Object(ARRAY(i97)), i184)
565_0_max_ArrayAccess(EOS(STATIC_565), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184, i178, java.lang.Object(ARRAY(i97)), i184) → 567_0_max_GT(EOS(STATIC_567), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184, i178, i185) | <(i184, i97)
567_0_max_GT(EOS(STATIC_567), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184, i178, i185) → 571_0_max_GT(EOS(STATIC_571), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184, i178, i185)
567_0_max_GT(EOS(STATIC_567), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184, i178, i185) → 572_0_max_GT(EOS(STATIC_572), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184, i178, i185)
571_0_max_GT(EOS(STATIC_571), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184, i178, i185) → 575_0_max_Inc(EOS(STATIC_575), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184) | >(i178, i185)
575_0_max_Inc(EOS(STATIC_575), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184) → 578_0_max_JMP(EOS(STATIC_578), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, +(i184, -1)) | >=(i184, 0)
578_0_max_JMP(EOS(STATIC_578), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i192) → 583_0_max_Load(EOS(STATIC_583), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i192)
583_0_max_Load(EOS(STATIC_583), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i192) → 541_0_max_Load(EOS(STATIC_541), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i192)
541_0_max_Load(EOS(STATIC_541), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175) → 542_0_max_Load(EOS(STATIC_542), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i175, i174)
572_0_max_GT(EOS(STATIC_572), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184, i178, i185) → 576_0_max_Inc(EOS(STATIC_576), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184) | <=(i178, i185)
576_0_max_Inc(EOS(STATIC_576), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i174, i184) → 579_0_max_JMP(EOS(STATIC_579), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), +(i174, 1), i184) | >=(i174, 0)
579_0_max_JMP(EOS(STATIC_579), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i193, i184) → 584_0_max_Load(EOS(STATIC_584), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i193, i184)
584_0_max_Load(EOS(STATIC_584), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i193, i184) → 541_0_max_Load(EOS(STATIC_541), java.lang.Object(ARRAY(i97)), java.lang.Object(ARRAY(i97)), i193, i184)
R rules:
Combined rules. Obtained 2 conditional rules for P and 0 conditional rules for R.
P rules:
542_0_max_Load(EOS(STATIC_542), java.lang.Object(ARRAY(x0)), java.lang.Object(ARRAY(x0)), x1, x2, x1) → 542_0_max_Load(EOS(STATIC_542), java.lang.Object(ARRAY(x0)), java.lang.Object(ARRAY(x0)), x1, +(x2, -1), x1) | &&(&&(&&(>(+(x2, 1), 0), <(x2, x0)), <(x1, x0)), !(=(x1, x2)))
542_0_max_Load(EOS(STATIC_542), java.lang.Object(ARRAY(x0)), java.lang.Object(ARRAY(x0)), x1, x2, x1) → 542_0_max_Load(EOS(STATIC_542), java.lang.Object(ARRAY(x0)), java.lang.Object(ARRAY(x0)), +(x1, 1), x2, +(x1, 1)) | &&(&&(&&(<(x2, x0), >(+(x1, 1), 0)), <(x1, x0)), !(=(x1, x2)))
R rules:
Filtered ground terms:
542_0_max_Load(x1, x2, x3, x4, x5, x6) → 542_0_max_Load(x2, x3, x4, x5, x6)
EOS(x1) → EOS
Cond_542_0_max_Load1(x1, x2, x3, x4, x5, x6, x7) → Cond_542_0_max_Load1(x1, x3, x4, x5, x6, x7)
Cond_542_0_max_Load(x1, x2, x3, x4, x5, x6, x7) → Cond_542_0_max_Load(x1, x3, x4, x5, x6, x7)
Filtered duplicate args:
542_0_max_Load(x1, x2, x3, x4, x5) → 542_0_max_Load(x2, x4, x5)
Cond_542_0_max_Load(x1, x2, x3, x4, x5, x6) → Cond_542_0_max_Load(x1, x3, x5, x6)
Cond_542_0_max_Load1(x1, x2, x3, x4, x5, x6) → Cond_542_0_max_Load1(x1, x3, x5, x6)
Combined rules. Obtained 2 conditional rules for P and 0 conditional rules for R.
P rules:
542_0_max_Load(java.lang.Object(ARRAY(x0)), x2, x1) → 542_0_max_Load(java.lang.Object(ARRAY(x0)), +(x2, -1), x1) | &&(&&(&&(>(x2, -1), <(x2, x0)), <(x1, x0)), !(=(x1, x2)))
542_0_max_Load(java.lang.Object(ARRAY(x0)), x2, x1) → 542_0_max_Load(java.lang.Object(ARRAY(x0)), x2, +(x1, 1)) | &&(&&(&&(<(x2, x0), >(x1, -1)), <(x1, x0)), !(=(x1, x2)))
R rules:
Finished conversion. Obtained 4 rules for P and 0 rules for R. System has predefined symbols.
P rules:
542_0_MAX_LOAD(java.lang.Object(ARRAY(x0)), x2, x1) → COND_542_0_MAX_LOAD(&&(&&(&&(>(x2, -1), <(x2, x0)), <(x1, x0)), !(=(x1, x2))), java.lang.Object(ARRAY(x0)), x2, x1)
COND_542_0_MAX_LOAD(TRUE, java.lang.Object(ARRAY(x0)), x2, x1) → 542_0_MAX_LOAD(java.lang.Object(ARRAY(x0)), +(x2, -1), x1)
542_0_MAX_LOAD(java.lang.Object(ARRAY(x0)), x2, x1) → COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2, x0), >(x1, -1)), <(x1, x0)), !(=(x1, x2))), java.lang.Object(ARRAY(x0)), x2, x1)
COND_542_0_MAX_LOAD1(TRUE, java.lang.Object(ARRAY(x0)), x2, x1) → 542_0_MAX_LOAD(java.lang.Object(ARRAY(x0)), x2, +(x1, 1))
R rules:
!= | ~ | Neq: (Integer, Integer) -> Boolean |
* | ~ | Mul: (Integer, Integer) -> Integer |
>= | ~ | Ge: (Integer, Integer) -> Boolean |
-1 | ~ | UnaryMinus: (Integer) -> Integer |
| | ~ | Bwor: (Integer, Integer) -> Integer |
/ | ~ | Div: (Integer, Integer) -> Integer |
= | ~ | Eq: (Integer, Integer) -> Boolean |
~ | Bwxor: (Integer, Integer) -> Integer | |
|| | ~ | Lor: (Boolean, Boolean) -> Boolean |
! | ~ | Lnot: (Boolean) -> Boolean |
< | ~ | Lt: (Integer, Integer) -> Boolean |
- | ~ | Sub: (Integer, Integer) -> Integer |
<= | ~ | Le: (Integer, Integer) -> Boolean |
> | ~ | Gt: (Integer, Integer) -> Boolean |
~ | ~ | Bwnot: (Integer) -> Integer |
% | ~ | Mod: (Integer, Integer) -> Integer |
& | ~ | Bwand: (Integer, Integer) -> Integer |
+ | ~ | Add: (Integer, Integer) -> Integer |
&& | ~ | Land: (Boolean, Boolean) -> Boolean |
Boolean, Integer
(0) -> (1), if (x2[0] > -1 && x2[0] < x0[0] && x1[0] < x0[0] && !(x1[0] = x2[0]) ∧java.lang.Object(ARRAY(x0[0])) →* java.lang.Object(ARRAY(x0[1]))∧x2[0] →* x2[1]∧x1[0] →* x1[1])
(1) -> (0), if (java.lang.Object(ARRAY(x0[1])) →* java.lang.Object(ARRAY(x0[0]))∧x2[1] + -1 →* x2[0]∧x1[1] →* x1[0])
(1) -> (2), if (java.lang.Object(ARRAY(x0[1])) →* java.lang.Object(ARRAY(x0[2]))∧x2[1] + -1 →* x2[2]∧x1[1] →* x1[2])
(2) -> (3), if (x2[2] < x0[2] && x1[2] > -1 && x1[2] < x0[2] && !(x1[2] = x2[2]) ∧java.lang.Object(ARRAY(x0[2])) →* java.lang.Object(ARRAY(x0[3]))∧x2[2] →* x2[3]∧x1[2] →* x1[3])
(3) -> (0), if (java.lang.Object(ARRAY(x0[3])) →* java.lang.Object(ARRAY(x0[0]))∧x2[3] →* x2[0]∧x1[3] + 1 →* x1[0])
(3) -> (2), if (java.lang.Object(ARRAY(x0[3])) →* java.lang.Object(ARRAY(x0[2]))∧x2[3] →* x2[2]∧x1[3] + 1 →* x1[2])
(1) (&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0])))=TRUE∧java.lang.Object(ARRAY(x0[0]))=java.lang.Object(ARRAY(x0[1]))∧x2[0]=x2[1]∧x1[0]=x1[1] ⇒ 542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])≥NonInfC∧542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])≥COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])∧(UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥))
(2) (<(x1[0], x0[0])=TRUE∧>(x2[0], -1)=TRUE∧<(x2[0], x0[0])=TRUE∧<(x1[0], x2[0])=TRUE ⇒ 542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])≥NonInfC∧542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])≥COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])∧(UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥))
(3) (<(x1[0], x0[0])=TRUE∧>(x2[0], -1)=TRUE∧<(x2[0], x0[0])=TRUE∧>(x1[0], x2[0])=TRUE ⇒ 542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])≥NonInfC∧542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])≥COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])∧(UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥))
(4) (x0[0] + [-1] + [-1]x1[0] ≥ 0∧x2[0] ≥ 0∧x0[0] + [-1] + [-1]x2[0] ≥ 0∧x2[0] + [-1] + [-1]x1[0] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥)∧[(-1)bni_14 + (-1)Bound*bni_14] + [(-1)bni_14]x1[0] + [bni_14]x2[0] + [(2)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)
(5) (x0[0] + [-1] + [-1]x1[0] ≥ 0∧x2[0] ≥ 0∧x0[0] + [-1] + [-1]x2[0] ≥ 0∧x1[0] + [-1] + [-1]x2[0] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥)∧[(-1)bni_14 + (-1)Bound*bni_14] + [(-1)bni_14]x1[0] + [bni_14]x2[0] + [(2)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)
(6) (x0[0] + [-1] + [-1]x1[0] ≥ 0∧x2[0] ≥ 0∧x0[0] + [-1] + [-1]x2[0] ≥ 0∧x2[0] + [-1] + [-1]x1[0] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥)∧[(-1)bni_14 + (-1)Bound*bni_14] + [(-1)bni_14]x1[0] + [bni_14]x2[0] + [(2)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)
(7) (x0[0] + [-1] + [-1]x1[0] ≥ 0∧x2[0] ≥ 0∧x0[0] + [-1] + [-1]x2[0] ≥ 0∧x1[0] + [-1] + [-1]x2[0] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥)∧[(-1)bni_14 + (-1)Bound*bni_14] + [(-1)bni_14]x1[0] + [bni_14]x2[0] + [(2)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)
(8) (x0[0] + [-1] + [-1]x1[0] ≥ 0∧x2[0] ≥ 0∧x0[0] + [-1] + [-1]x2[0] ≥ 0∧x2[0] + [-1] + [-1]x1[0] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥)∧[(-1)bni_14 + (-1)Bound*bni_14] + [(-1)bni_14]x1[0] + [bni_14]x2[0] + [(2)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)
(9) (x0[0] + [-1] + [-1]x1[0] ≥ 0∧x2[0] ≥ 0∧x0[0] + [-1] + [-1]x2[0] ≥ 0∧x1[0] + [-1] + [-1]x2[0] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥)∧[(-1)bni_14 + (-1)Bound*bni_14] + [(-1)bni_14]x1[0] + [bni_14]x2[0] + [(2)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)
(10) (x0[0] ≥ 0∧x2[0] ≥ 0∧x1[0] + x0[0] + [-1]x2[0] ≥ 0∧x2[0] + [-1] + [-1]x1[0] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥)∧[bni_14 + (-1)Bound*bni_14] + [bni_14]x1[0] + [bni_14]x2[0] + [(2)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)
(11) (x0[0] ≥ 0∧x2[0] ≥ 0∧x1[0] + x0[0] + [-1]x2[0] ≥ 0∧x1[0] + [-1] + [-1]x2[0] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥)∧[bni_14 + (-1)Bound*bni_14] + [bni_14]x1[0] + [bni_14]x2[0] + [(2)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)
(12) (x0[0] ≥ 0∧x2[0] ≥ 0∧x1[0] + x0[0] + [-1]x2[0] ≥ 0∧x2[0] + [-1] + [-1]x1[0] ≥ 0∧x1[0] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥)∧[bni_14 + (-1)Bound*bni_14] + [bni_14]x1[0] + [bni_14]x2[0] + [(2)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)
(13) (x0[0] ≥ 0∧x2[0] ≥ 0∧[-1]x1[0] + x0[0] + [-1]x2[0] ≥ 0∧x2[0] + [-1] + x1[0] ≥ 0∧x1[0] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥)∧[bni_14 + (-1)Bound*bni_14] + [(-1)bni_14]x1[0] + [bni_14]x2[0] + [(2)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)
(14) (x0[0] ≥ 0∧[1] + x1[0] + x2[0] ≥ 0∧[-1] + x0[0] + [-1]x2[0] ≥ 0∧x2[0] ≥ 0∧x1[0] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥)∧[(-1)Bound*bni_14 + (2)bni_14] + [(2)bni_14]x1[0] + [bni_14]x2[0] + [(2)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)
(15) (x1[0] + x2[0] + x0[0] ≥ 0∧x2[0] ≥ 0∧x0[0] ≥ 0∧x2[0] + [-1] + x1[0] ≥ 0∧x1[0] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥)∧[bni_14 + (-1)Bound*bni_14] + [bni_14]x1[0] + [(3)bni_14]x2[0] + [(2)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)
(16) ([1] + x2[0] + x0[0] ≥ 0∧[1] + x1[0] + x2[0] ≥ 0∧x0[0] ≥ 0∧x2[0] ≥ 0∧x1[0] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥)∧[(-1)Bound*bni_14 + (4)bni_14] + [(2)bni_14]x1[0] + [(3)bni_14]x2[0] + [(2)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)
(17) (x0[0] ≥ 0∧x2[0] ≥ 0∧[1] + x1[0] + x0[0] ≥ 0∧x1[0] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])), ≥)∧[(2)bni_14 + (-1)Bound*bni_14] + [(2)bni_14]x2[0] + [bni_14]x1[0] + [(2)bni_14]x0[0] ≥ 0∧[(-1)bso_15] ≥ 0)
(18) (COND_542_0_MAX_LOAD(TRUE, java.lang.Object(ARRAY(x0[1])), x2[1], x1[1])≥NonInfC∧COND_542_0_MAX_LOAD(TRUE, java.lang.Object(ARRAY(x0[1])), x2[1], x1[1])≥542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[1])), +(x2[1], -1), x1[1])∧(UIncreasing(542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[1])), +(x2[1], -1), x1[1])), ≥))
(19) ((UIncreasing(542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[1])), +(x2[1], -1), x1[1])), ≥)∧[bni_16] = 0∧[1 + (-1)bso_17] ≥ 0)
(20) ((UIncreasing(542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[1])), +(x2[1], -1), x1[1])), ≥)∧[bni_16] = 0∧[1 + (-1)bso_17] ≥ 0)
(21) ((UIncreasing(542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[1])), +(x2[1], -1), x1[1])), ≥)∧[bni_16] = 0∧[1 + (-1)bso_17] ≥ 0)
(22) ((UIncreasing(542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[1])), +(x2[1], -1), x1[1])), ≥)∧[bni_16] = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_17] ≥ 0)
(23) (&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2])))=TRUE∧java.lang.Object(ARRAY(x0[2]))=java.lang.Object(ARRAY(x0[3]))∧x2[2]=x2[3]∧x1[2]=x1[3] ⇒ 542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])≥NonInfC∧542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])≥COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])∧(UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥))
(24) (<(x1[2], x0[2])=TRUE∧<(x2[2], x0[2])=TRUE∧>(x1[2], -1)=TRUE∧<(x1[2], x2[2])=TRUE ⇒ 542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])≥NonInfC∧542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])≥COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])∧(UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥))
(25) (<(x1[2], x0[2])=TRUE∧<(x2[2], x0[2])=TRUE∧>(x1[2], -1)=TRUE∧>(x1[2], x2[2])=TRUE ⇒ 542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])≥NonInfC∧542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])≥COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])∧(UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥))
(26) (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x2[2] + [-1] + [-1]x1[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)bni_18 + (-1)Bound*bni_18] + [(-1)bni_18]x1[2] + [bni_18]x2[2] + [(2)bni_18]x0[2] ≥ 0∧[(-1)bso_19] ≥ 0)
(27) (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x1[2] + [-1] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)bni_18 + (-1)Bound*bni_18] + [(-1)bni_18]x1[2] + [bni_18]x2[2] + [(2)bni_18]x0[2] ≥ 0∧[(-1)bso_19] ≥ 0)
(28) (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x2[2] + [-1] + [-1]x1[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)bni_18 + (-1)Bound*bni_18] + [(-1)bni_18]x1[2] + [bni_18]x2[2] + [(2)bni_18]x0[2] ≥ 0∧[(-1)bso_19] ≥ 0)
(29) (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x1[2] + [-1] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)bni_18 + (-1)Bound*bni_18] + [(-1)bni_18]x1[2] + [bni_18]x2[2] + [(2)bni_18]x0[2] ≥ 0∧[(-1)bso_19] ≥ 0)
(30) (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x2[2] + [-1] + [-1]x1[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)bni_18 + (-1)Bound*bni_18] + [(-1)bni_18]x1[2] + [bni_18]x2[2] + [(2)bni_18]x0[2] ≥ 0∧[(-1)bso_19] ≥ 0)
(31) (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x1[2] + [-1] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)bni_18 + (-1)Bound*bni_18] + [(-1)bni_18]x1[2] + [bni_18]x2[2] + [(2)bni_18]x0[2] ≥ 0∧[(-1)bso_19] ≥ 0)
(32) (x0[2] ≥ 0∧x1[2] + x0[2] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x2[2] + [-1] + [-1]x1[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[bni_18 + (-1)Bound*bni_18] + [bni_18]x1[2] + [bni_18]x2[2] + [(2)bni_18]x0[2] ≥ 0∧[(-1)bso_19] ≥ 0)
(33) (x0[2] ≥ 0∧x1[2] + x0[2] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x1[2] + [-1] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[bni_18 + (-1)Bound*bni_18] + [bni_18]x1[2] + [bni_18]x2[2] + [(2)bni_18]x0[2] ≥ 0∧[(-1)bso_19] ≥ 0)
(34) (x0[2] ≥ 0∧[-1] + x0[2] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)Bound*bni_18 + (2)bni_18] + [(2)bni_18]x1[2] + [bni_18]x2[2] + [(2)bni_18]x0[2] ≥ 0∧[(-1)bso_19] ≥ 0)
(35) ([1] + x2[2] + x0[2] ≥ 0∧x0[2] ≥ 0∧x1[2] ≥ 0∧x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)Bound*bni_18 + (4)bni_18] + [(2)bni_18]x1[2] + [(3)bni_18]x2[2] + [(2)bni_18]x0[2] ≥ 0∧[(-1)bso_19] ≥ 0)
(36) (x0[2] ≥ 0∧x1[2] + x0[2] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x1[2] + [-1] + [-1]x2[2] ≥ 0∧x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[bni_18 + (-1)Bound*bni_18] + [bni_18]x1[2] + [bni_18]x2[2] + [(2)bni_18]x0[2] ≥ 0∧[(-1)bso_19] ≥ 0)
(37) (x0[2] ≥ 0∧x1[2] + x0[2] + x2[2] ≥ 0∧x1[2] ≥ 0∧x1[2] + [-1] + x2[2] ≥ 0∧x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[bni_18 + (-1)Bound*bni_18] + [bni_18]x1[2] + [(-1)bni_18]x2[2] + [(2)bni_18]x0[2] ≥ 0∧[(-1)bso_19] ≥ 0)
(38) (x0[2] ≥ 0∧[1] + x1[2] + x0[2] ≥ 0∧[1] + x2[2] + x1[2] ≥ 0∧x1[2] ≥ 0∧x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(2)bni_18 + (-1)Bound*bni_18] + [(2)bni_18]x2[2] + [bni_18]x1[2] + [(2)bni_18]x0[2] ≥ 0∧[(-1)bso_19] ≥ 0)
(39) (COND_542_0_MAX_LOAD1(TRUE, java.lang.Object(ARRAY(x0[3])), x2[3], x1[3])≥NonInfC∧COND_542_0_MAX_LOAD1(TRUE, java.lang.Object(ARRAY(x0[3])), x2[3], x1[3])≥542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[3])), x2[3], +(x1[3], 1))∧(UIncreasing(542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[3])), x2[3], +(x1[3], 1))), ≥))
(40) ((UIncreasing(542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[3])), x2[3], +(x1[3], 1))), ≥)∧[bni_20] = 0∧[1 + (-1)bso_21] ≥ 0)
(41) ((UIncreasing(542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[3])), x2[3], +(x1[3], 1))), ≥)∧[bni_20] = 0∧[1 + (-1)bso_21] ≥ 0)
(42) ((UIncreasing(542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[3])), x2[3], +(x1[3], 1))), ≥)∧[bni_20] = 0∧[1 + (-1)bso_21] ≥ 0)
(43) ((UIncreasing(542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[3])), x2[3], +(x1[3], 1))), ≥)∧[bni_20] = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_21] ≥ 0)
POL(TRUE) = 0
POL(FALSE) = 0
POL(542_0_MAX_LOAD(x1, x2, x3)) = [-1] + [-1]x3 + x2 + [2]x1
POL(java.lang.Object(x1)) = x1
POL(ARRAY(x1)) = x1
POL(COND_542_0_MAX_LOAD(x1, x2, x3, x4)) = [-1] + [-1]x4 + x3 + [2]x2
POL(&&(x1, x2)) = [-1]
POL(>(x1, x2)) = [-1]
POL(-1) = [-1]
POL(<(x1, x2)) = [-1]
POL(!(x1)) = [-1]
POL(=(x1, x2)) = [-1]
POL(+(x1, x2)) = x1 + x2
POL(COND_542_0_MAX_LOAD1(x1, x2, x3, x4)) = [-1] + [-1]x4 + x3 + [2]x2
POL(1) = [1]
COND_542_0_MAX_LOAD(TRUE, java.lang.Object(ARRAY(x0[1])), x2[1], x1[1]) → 542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[1])), +(x2[1], -1), x1[1])
COND_542_0_MAX_LOAD1(TRUE, java.lang.Object(ARRAY(x0[3])), x2[3], x1[3]) → 542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[3])), x2[3], +(x1[3], 1))
542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[0])), x2[0], x1[0]) → COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])
542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[0])), x2[0], x1[0]) → COND_542_0_MAX_LOAD(&&(&&(&&(>(x2[0], -1), <(x2[0], x0[0])), <(x1[0], x0[0])), !(=(x1[0], x2[0]))), java.lang.Object(ARRAY(x0[0])), x2[0], x1[0])
542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[2])), x2[2], x1[2]) → COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])
!= | ~ | Neq: (Integer, Integer) -> Boolean |
* | ~ | Mul: (Integer, Integer) -> Integer |
>= | ~ | Ge: (Integer, Integer) -> Boolean |
-1 | ~ | UnaryMinus: (Integer) -> Integer |
| | ~ | Bwor: (Integer, Integer) -> Integer |
/ | ~ | Div: (Integer, Integer) -> Integer |
= | ~ | Eq: (Integer, Integer) -> Boolean |
~ | Bwxor: (Integer, Integer) -> Integer | |
|| | ~ | Lor: (Boolean, Boolean) -> Boolean |
! | ~ | Lnot: (Boolean) -> Boolean |
< | ~ | Lt: (Integer, Integer) -> Boolean |
- | ~ | Sub: (Integer, Integer) -> Integer |
<= | ~ | Le: (Integer, Integer) -> Boolean |
> | ~ | Gt: (Integer, Integer) -> Boolean |
~ | ~ | Bwnot: (Integer) -> Integer |
% | ~ | Mod: (Integer, Integer) -> Integer |
& | ~ | Bwand: (Integer, Integer) -> Integer |
+ | ~ | Add: (Integer, Integer) -> Integer |
&& | ~ | Land: (Boolean, Boolean) -> Boolean |
Boolean, Integer
!= | ~ | Neq: (Integer, Integer) -> Boolean |
* | ~ | Mul: (Integer, Integer) -> Integer |
>= | ~ | Ge: (Integer, Integer) -> Boolean |
-1 | ~ | UnaryMinus: (Integer) -> Integer |
| | ~ | Bwor: (Integer, Integer) -> Integer |
/ | ~ | Div: (Integer, Integer) -> Integer |
= | ~ | Eq: (Integer, Integer) -> Boolean |
~ | Bwxor: (Integer, Integer) -> Integer | |
|| | ~ | Lor: (Boolean, Boolean) -> Boolean |
! | ~ | Lnot: (Boolean) -> Boolean |
< | ~ | Lt: (Integer, Integer) -> Boolean |
- | ~ | Sub: (Integer, Integer) -> Integer |
<= | ~ | Le: (Integer, Integer) -> Boolean |
> | ~ | Gt: (Integer, Integer) -> Boolean |
~ | ~ | Bwnot: (Integer) -> Integer |
% | ~ | Mod: (Integer, Integer) -> Integer |
& | ~ | Bwand: (Integer, Integer) -> Integer |
+ | ~ | Add: (Integer, Integer) -> Integer |
&& | ~ | Land: (Boolean, Boolean) -> Boolean |
Integer, Boolean
(1) -> (2), if (java.lang.Object(ARRAY(x0[1])) →* java.lang.Object(ARRAY(x0[2]))∧x2[1] + -1 →* x2[2]∧x1[1] →* x1[2])
(3) -> (2), if (java.lang.Object(ARRAY(x0[3])) →* java.lang.Object(ARRAY(x0[2]))∧x2[3] →* x2[2]∧x1[3] + 1 →* x1[2])
(2) -> (3), if (x2[2] < x0[2] && x1[2] > -1 && x1[2] < x0[2] && !(x1[2] = x2[2]) ∧java.lang.Object(ARRAY(x0[2])) →* java.lang.Object(ARRAY(x0[3]))∧x2[2] →* x2[3]∧x1[2] →* x1[3])
!= | ~ | Neq: (Integer, Integer) -> Boolean |
* | ~ | Mul: (Integer, Integer) -> Integer |
>= | ~ | Ge: (Integer, Integer) -> Boolean |
-1 | ~ | UnaryMinus: (Integer) -> Integer |
| | ~ | Bwor: (Integer, Integer) -> Integer |
/ | ~ | Div: (Integer, Integer) -> Integer |
= | ~ | Eq: (Integer, Integer) -> Boolean |
~ | Bwxor: (Integer, Integer) -> Integer | |
|| | ~ | Lor: (Boolean, Boolean) -> Boolean |
! | ~ | Lnot: (Boolean) -> Boolean |
< | ~ | Lt: (Integer, Integer) -> Boolean |
- | ~ | Sub: (Integer, Integer) -> Integer |
<= | ~ | Le: (Integer, Integer) -> Boolean |
> | ~ | Gt: (Integer, Integer) -> Boolean |
~ | ~ | Bwnot: (Integer) -> Integer |
% | ~ | Mod: (Integer, Integer) -> Integer |
& | ~ | Bwand: (Integer, Integer) -> Integer |
+ | ~ | Add: (Integer, Integer) -> Integer |
&& | ~ | Land: (Boolean, Boolean) -> Boolean |
Integer, Boolean
(3) -> (2), if (java.lang.Object(ARRAY(x0[3])) →* java.lang.Object(ARRAY(x0[2]))∧x2[3] →* x2[2]∧x1[3] + 1 →* x1[2])
(2) -> (3), if (x2[2] < x0[2] && x1[2] > -1 && x1[2] < x0[2] && !(x1[2] = x2[2]) ∧java.lang.Object(ARRAY(x0[2])) →* java.lang.Object(ARRAY(x0[3]))∧x2[2] →* x2[3]∧x1[2] →* x1[3])
(1) (COND_542_0_MAX_LOAD1(TRUE, java.lang.Object(ARRAY(x0[3])), x2[3], x1[3])≥NonInfC∧COND_542_0_MAX_LOAD1(TRUE, java.lang.Object(ARRAY(x0[3])), x2[3], x1[3])≥542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[3])), x2[3], +(x1[3], 1))∧(UIncreasing(542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[3])), x2[3], +(x1[3], 1))), ≥))
(2) ((UIncreasing(542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[3])), x2[3], +(x1[3], 1))), ≥)∧[bni_12] = 0∧[(-1)bso_13] ≥ 0)
(3) ((UIncreasing(542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[3])), x2[3], +(x1[3], 1))), ≥)∧[bni_12] = 0∧[(-1)bso_13] ≥ 0)
(4) ((UIncreasing(542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[3])), x2[3], +(x1[3], 1))), ≥)∧[bni_12] = 0∧[(-1)bso_13] ≥ 0)
(5) ((UIncreasing(542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[3])), x2[3], +(x1[3], 1))), ≥)∧[bni_12] = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_13] ≥ 0)
(6) (&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2])))=TRUE∧java.lang.Object(ARRAY(x0[2]))=java.lang.Object(ARRAY(x0[3]))∧x2[2]=x2[3]∧x1[2]=x1[3] ⇒ 542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])≥NonInfC∧542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])≥COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])∧(UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥))
(7) (<(x1[2], x0[2])=TRUE∧<(x2[2], x0[2])=TRUE∧>(x1[2], -1)=TRUE∧<(x1[2], x2[2])=TRUE ⇒ 542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])≥NonInfC∧542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])≥COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])∧(UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥))
(8) (<(x1[2], x0[2])=TRUE∧<(x2[2], x0[2])=TRUE∧>(x1[2], -1)=TRUE∧>(x1[2], x2[2])=TRUE ⇒ 542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])≥NonInfC∧542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])≥COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])∧(UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥))
(9) (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x2[2] + [-1] + [-1]x1[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)Bound*bni_14] + [(-1)bni_14]x1[2] + [(-1)bni_14]x2[2] + [(2)bni_14]x0[2] ≥ 0∧[1 + (-1)bso_15] ≥ 0)
(10) (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x1[2] + [-1] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)Bound*bni_14] + [(-1)bni_14]x1[2] + [(-1)bni_14]x2[2] + [(2)bni_14]x0[2] ≥ 0∧[1 + (-1)bso_15] ≥ 0)
(11) (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x2[2] + [-1] + [-1]x1[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)Bound*bni_14] + [(-1)bni_14]x1[2] + [(-1)bni_14]x2[2] + [(2)bni_14]x0[2] ≥ 0∧[1 + (-1)bso_15] ≥ 0)
(12) (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x1[2] + [-1] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)Bound*bni_14] + [(-1)bni_14]x1[2] + [(-1)bni_14]x2[2] + [(2)bni_14]x0[2] ≥ 0∧[1 + (-1)bso_15] ≥ 0)
(13) (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x2[2] + [-1] + [-1]x1[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)Bound*bni_14] + [(-1)bni_14]x1[2] + [(-1)bni_14]x2[2] + [(2)bni_14]x0[2] ≥ 0∧[1 + (-1)bso_15] ≥ 0)
(14) (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x1[2] + [-1] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)Bound*bni_14] + [(-1)bni_14]x1[2] + [(-1)bni_14]x2[2] + [(2)bni_14]x0[2] ≥ 0∧[1 + (-1)bso_15] ≥ 0)
(15) (x0[2] ≥ 0∧x1[2] + x0[2] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x2[2] + [-1] + [-1]x1[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)Bound*bni_14 + (2)bni_14] + [bni_14]x1[2] + [(-1)bni_14]x2[2] + [(2)bni_14]x0[2] ≥ 0∧[1 + (-1)bso_15] ≥ 0)
(16) (x0[2] ≥ 0∧x1[2] + x0[2] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x1[2] + [-1] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)Bound*bni_14 + (2)bni_14] + [bni_14]x1[2] + [(-1)bni_14]x2[2] + [(2)bni_14]x0[2] ≥ 0∧[1 + (-1)bso_15] ≥ 0)
(17) (x0[2] ≥ 0∧[-1] + x0[2] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)Bound*bni_14 + bni_14] + [(-1)bni_14]x2[2] + [(2)bni_14]x0[2] ≥ 0∧[1 + (-1)bso_15] ≥ 0)
(18) ([1] + x2[2] + x0[2] ≥ 0∧x0[2] ≥ 0∧x1[2] ≥ 0∧x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)Bound*bni_14 + (3)bni_14] + [bni_14]x2[2] + [(2)bni_14]x0[2] ≥ 0∧[1 + (-1)bso_15] ≥ 0)
(19) (x0[2] ≥ 0∧x1[2] + x0[2] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0∧x1[2] + [-1] + [-1]x2[2] ≥ 0∧x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)Bound*bni_14 + (2)bni_14] + [bni_14]x1[2] + [(-1)bni_14]x2[2] + [(2)bni_14]x0[2] ≥ 0∧[1 + (-1)bso_15] ≥ 0)
(20) (x0[2] ≥ 0∧x1[2] + x0[2] + x2[2] ≥ 0∧x1[2] ≥ 0∧x1[2] + [-1] + x2[2] ≥ 0∧x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)Bound*bni_14 + (2)bni_14] + [bni_14]x1[2] + [bni_14]x2[2] + [(2)bni_14]x0[2] ≥ 0∧[1 + (-1)bso_15] ≥ 0)
(21) (x0[2] ≥ 0∧[1] + x1[2] + x0[2] ≥ 0∧[1] + x2[2] + x1[2] ≥ 0∧x1[2] ≥ 0∧x2[2] ≥ 0 ⇒ (UIncreasing(COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])), ≥)∧[(-1)Bound*bni_14 + (3)bni_14] + [bni_14]x1[2] + [(2)bni_14]x0[2] ≥ 0∧[1 + (-1)bso_15] ≥ 0)
POL(TRUE) = 0
POL(FALSE) = 0
POL(COND_542_0_MAX_LOAD1(x1, x2, x3, x4)) = [-1] + [-1]x3 + [2]x2 + [-1]x4
POL(java.lang.Object(x1)) = x1
POL(ARRAY(x1)) = x1
POL(542_0_MAX_LOAD(x1, x2, x3)) = [-1]x3 + [-1]x2 + [2]x1
POL(+(x1, x2)) = x1 + x2
POL(1) = [1]
POL(&&(x1, x2)) = [-1]
POL(<(x1, x2)) = [-1]
POL(>(x1, x2)) = [-1]
POL(-1) = [-1]
POL(!(x1)) = [-1]
POL(=(x1, x2)) = [-1]
542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[2])), x2[2], x1[2]) → COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])
542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[2])), x2[2], x1[2]) → COND_542_0_MAX_LOAD1(&&(&&(&&(<(x2[2], x0[2]), >(x1[2], -1)), <(x1[2], x0[2])), !(=(x1[2], x2[2]))), java.lang.Object(ARRAY(x0[2])), x2[2], x1[2])
COND_542_0_MAX_LOAD1(TRUE, java.lang.Object(ARRAY(x0[3])), x2[3], x1[3]) → 542_0_MAX_LOAD(java.lang.Object(ARRAY(x0[3])), x2[3], +(x1[3], 1))
!= | ~ | Neq: (Integer, Integer) -> Boolean |
* | ~ | Mul: (Integer, Integer) -> Integer |
>= | ~ | Ge: (Integer, Integer) -> Boolean |
-1 | ~ | UnaryMinus: (Integer) -> Integer |
| | ~ | Bwor: (Integer, Integer) -> Integer |
/ | ~ | Div: (Integer, Integer) -> Integer |
= | ~ | Eq: (Integer, Integer) -> Boolean |
~ | Bwxor: (Integer, Integer) -> Integer | |
|| | ~ | Lor: (Boolean, Boolean) -> Boolean |
! | ~ | Lnot: (Boolean) -> Boolean |
< | ~ | Lt: (Integer, Integer) -> Boolean |
- | ~ | Sub: (Integer, Integer) -> Integer |
<= | ~ | Le: (Integer, Integer) -> Boolean |
> | ~ | Gt: (Integer, Integer) -> Boolean |
~ | ~ | Bwnot: (Integer) -> Integer |
% | ~ | Mod: (Integer, Integer) -> Integer |
& | ~ | Bwand: (Integer, Integer) -> Integer |
+ | ~ | Add: (Integer, Integer) -> Integer |
&& | ~ | Land: (Boolean, Boolean) -> Boolean |
Integer
Generated 22 rules for P and 0 rules for R.
P rules:
263_0_main_Load(EOS(STATIC_263), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, i71) → 264_0_main_ArrayLength(EOS(STATIC_264), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, i71, java.lang.Object(ARRAY(i14)))
264_0_main_ArrayLength(EOS(STATIC_264), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, i71, java.lang.Object(ARRAY(i14))) → 265_0_main_GE(EOS(STATIC_265), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, i71, i14) | >=(i14, 0)
265_0_main_GE(EOS(STATIC_265), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, i71, i14) → 267_0_main_GE(EOS(STATIC_267), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, i71, i14)
267_0_main_GE(EOS(STATIC_267), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, i71, i14) → 269_0_main_Load(EOS(STATIC_269), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71) | <(i71, i14)
269_0_main_Load(EOS(STATIC_269), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71) → 271_0_main_Load(EOS(STATIC_271), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)))
271_0_main_Load(EOS(STATIC_271), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14))) → 273_0_main_Load(EOS(STATIC_273), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71)
273_0_main_Load(EOS(STATIC_273), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71) → 274_0_main_Load(EOS(STATIC_274), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)))
274_0_main_Load(EOS(STATIC_274), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14))) → 276_0_main_ArrayAccess(EOS(STATIC_276), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71)
276_0_main_ArrayAccess(EOS(STATIC_276), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71) → 278_0_main_ArrayAccess(EOS(STATIC_278), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71)
278_0_main_ArrayAccess(EOS(STATIC_278), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71) → 281_0_main_InvokeMethod(EOS(STATIC_281), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, o51) | <(i71, i14)
281_0_main_InvokeMethod(EOS(STATIC_281), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(o54sub)) → 284_0_main_InvokeMethod(EOS(STATIC_284), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(o54sub))
284_0_main_InvokeMethod(EOS(STATIC_284), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(o54sub)) → 287_0_length_Load(EOS(STATIC_287), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(o54sub), java.lang.Object(o54sub))
287_0_length_Load(EOS(STATIC_287), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(o54sub), java.lang.Object(o54sub)) → 294_0_length_FieldAccess(EOS(STATIC_294), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(o54sub), java.lang.Object(o54sub))
294_0_length_FieldAccess(EOS(STATIC_294), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(java.lang.String(o58sub, i82)), java.lang.Object(java.lang.String(o58sub, i82))) → 296_0_length_FieldAccess(EOS(STATIC_296), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(java.lang.String(o58sub, i82)), java.lang.Object(java.lang.String(o58sub, i82))) | &&(>=(i82, 0), >=(i83, 0))
296_0_length_FieldAccess(EOS(STATIC_296), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(java.lang.String(o58sub, i82)), java.lang.Object(java.lang.String(o58sub, i82))) → 300_0_length_Return(EOS(STATIC_300), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(java.lang.String(o58sub, i82)))
300_0_length_Return(EOS(STATIC_300), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71, java.lang.Object(java.lang.String(o58sub, i82))) → 305_0_main_ArrayAccess(EOS(STATIC_305), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71)
305_0_main_ArrayAccess(EOS(STATIC_305), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71) → 308_0_main_ArrayAccess(EOS(STATIC_308), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71)
308_0_main_ArrayAccess(EOS(STATIC_308), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, java.lang.Object(ARRAY(i14)), i71) → 314_0_main_Inc(EOS(STATIC_314), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71) | <(i71, i14)
314_0_main_Inc(EOS(STATIC_314), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71) → 320_0_main_JMP(EOS(STATIC_320), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), +(i71, 1)) | >=(i71, 0)
320_0_main_JMP(EOS(STATIC_320), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i87) → 324_0_main_Load(EOS(STATIC_324), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i87)
324_0_main_Load(EOS(STATIC_324), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i87) → 262_0_main_Load(EOS(STATIC_262), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i87)
262_0_main_Load(EOS(STATIC_262), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71) → 263_0_main_Load(EOS(STATIC_263), java.lang.Object(ARRAY(i14)), java.lang.Object(ARRAY(i14)), i71, i71)
R rules:
Combined rules. Obtained 1 conditional rules for P and 0 conditional rules for R.
P rules:
263_0_main_Load(EOS(STATIC_263), java.lang.Object(ARRAY(x0)), java.lang.Object(ARRAY(x0)), x1, x1) → 263_0_main_Load(EOS(STATIC_263), java.lang.Object(ARRAY(x0)), java.lang.Object(ARRAY(x0)), +(x1, 1), +(x1, 1)) | &&(&&(>(+(x1, 1), 0), <(x1, x0)), >(+(x0, 1), 0))
R rules:
Filtered ground terms:
263_0_main_Load(x1, x2, x3, x4, x5) → 263_0_main_Load(x2, x3, x4, x5)
EOS(x1) → EOS
Cond_263_0_main_Load(x1, x2, x3, x4, x5, x6) → Cond_263_0_main_Load(x1, x3, x4, x5, x6)
Filtered duplicate args:
263_0_main_Load(x1, x2, x3, x4) → 263_0_main_Load(x2, x4)
Cond_263_0_main_Load(x1, x2, x3, x4, x5) → Cond_263_0_main_Load(x1, x3, x5)
Combined rules. Obtained 1 conditional rules for P and 0 conditional rules for R.
P rules:
263_0_main_Load(java.lang.Object(ARRAY(x0)), x1) → 263_0_main_Load(java.lang.Object(ARRAY(x0)), +(x1, 1)) | &&(&&(>(x1, -1), <(x1, x0)), >(x0, -1))
R rules:
Finished conversion. Obtained 2 rules for P and 0 rules for R. System has predefined symbols.
P rules:
263_0_MAIN_LOAD(java.lang.Object(ARRAY(x0)), x1) → COND_263_0_MAIN_LOAD(&&(&&(>(x1, -1), <(x1, x0)), >(x0, -1)), java.lang.Object(ARRAY(x0)), x1)
COND_263_0_MAIN_LOAD(TRUE, java.lang.Object(ARRAY(x0)), x1) → 263_0_MAIN_LOAD(java.lang.Object(ARRAY(x0)), +(x1, 1))
R rules:
!= | ~ | Neq: (Integer, Integer) -> Boolean |
* | ~ | Mul: (Integer, Integer) -> Integer |
>= | ~ | Ge: (Integer, Integer) -> Boolean |
-1 | ~ | UnaryMinus: (Integer) -> Integer |
| | ~ | Bwor: (Integer, Integer) -> Integer |
/ | ~ | Div: (Integer, Integer) -> Integer |
= | ~ | Eq: (Integer, Integer) -> Boolean |
~ | Bwxor: (Integer, Integer) -> Integer | |
|| | ~ | Lor: (Boolean, Boolean) -> Boolean |
! | ~ | Lnot: (Boolean) -> Boolean |
< | ~ | Lt: (Integer, Integer) -> Boolean |
- | ~ | Sub: (Integer, Integer) -> Integer |
<= | ~ | Le: (Integer, Integer) -> Boolean |
> | ~ | Gt: (Integer, Integer) -> Boolean |
~ | ~ | Bwnot: (Integer) -> Integer |
% | ~ | Mod: (Integer, Integer) -> Integer |
& | ~ | Bwand: (Integer, Integer) -> Integer |
+ | ~ | Add: (Integer, Integer) -> Integer |
&& | ~ | Land: (Boolean, Boolean) -> Boolean |
Boolean, Integer
(0) -> (1), if (x1[0] > -1 && x1[0] < x0[0] && x0[0] > -1 ∧java.lang.Object(ARRAY(x0[0])) →* java.lang.Object(ARRAY(x0[1]))∧x1[0] →* x1[1])
(1) -> (0), if (java.lang.Object(ARRAY(x0[1])) →* java.lang.Object(ARRAY(x0[0]))∧x1[1] + 1 →* x1[0])
(1) (&&(&&(>(x1[0], -1), <(x1[0], x0[0])), >(x0[0], -1))=TRUE∧java.lang.Object(ARRAY(x0[0]))=java.lang.Object(ARRAY(x0[1]))∧x1[0]=x1[1] ⇒ 263_0_MAIN_LOAD(java.lang.Object(ARRAY(x0[0])), x1[0])≥NonInfC∧263_0_MAIN_LOAD(java.lang.Object(ARRAY(x0[0])), x1[0])≥COND_263_0_MAIN_LOAD(&&(&&(>(x1[0], -1), <(x1[0], x0[0])), >(x0[0], -1)), java.lang.Object(ARRAY(x0[0])), x1[0])∧(UIncreasing(COND_263_0_MAIN_LOAD(&&(&&(>(x1[0], -1), <(x1[0], x0[0])), >(x0[0], -1)), java.lang.Object(ARRAY(x0[0])), x1[0])), ≥))
(2) (>(x0[0], -1)=TRUE∧>(x1[0], -1)=TRUE∧<(x1[0], x0[0])=TRUE ⇒ 263_0_MAIN_LOAD(java.lang.Object(ARRAY(x0[0])), x1[0])≥NonInfC∧263_0_MAIN_LOAD(java.lang.Object(ARRAY(x0[0])), x1[0])≥COND_263_0_MAIN_LOAD(&&(&&(>(x1[0], -1), <(x1[0], x0[0])), >(x0[0], -1)), java.lang.Object(ARRAY(x0[0])), x1[0])∧(UIncreasing(COND_263_0_MAIN_LOAD(&&(&&(>(x1[0], -1), <(x1[0], x0[0])), >(x0[0], -1)), java.lang.Object(ARRAY(x0[0])), x1[0])), ≥))
(3) (x0[0] ≥ 0∧x1[0] ≥ 0∧x0[0] + [-1] + [-1]x1[0] ≥ 0 ⇒ (UIncreasing(COND_263_0_MAIN_LOAD(&&(&&(>(x1[0], -1), <(x1[0], x0[0])), >(x0[0], -1)), java.lang.Object(ARRAY(x0[0])), x1[0])), ≥)∧[(-1)bni_10 + (-1)Bound*bni_10] + [(-1)bni_10]x1[0] + [bni_10]x0[0] ≥ 0∧[(-1)bso_11] ≥ 0)
(4) (x0[0] ≥ 0∧x1[0] ≥ 0∧x0[0] + [-1] + [-1]x1[0] ≥ 0 ⇒ (UIncreasing(COND_263_0_MAIN_LOAD(&&(&&(>(x1[0], -1), <(x1[0], x0[0])), >(x0[0], -1)), java.lang.Object(ARRAY(x0[0])), x1[0])), ≥)∧[(-1)bni_10 + (-1)Bound*bni_10] + [(-1)bni_10]x1[0] + [bni_10]x0[0] ≥ 0∧[(-1)bso_11] ≥ 0)
(5) (x0[0] ≥ 0∧x1[0] ≥ 0∧x0[0] + [-1] + [-1]x1[0] ≥ 0 ⇒ (UIncreasing(COND_263_0_MAIN_LOAD(&&(&&(>(x1[0], -1), <(x1[0], x0[0])), >(x0[0], -1)), java.lang.Object(ARRAY(x0[0])), x1[0])), ≥)∧[(-1)bni_10 + (-1)Bound*bni_10] + [(-1)bni_10]x1[0] + [bni_10]x0[0] ≥ 0∧[(-1)bso_11] ≥ 0)
(6) ([1] + x1[0] + x0[0] ≥ 0∧x1[0] ≥ 0∧x0[0] ≥ 0 ⇒ (UIncreasing(COND_263_0_MAIN_LOAD(&&(&&(>(x1[0], -1), <(x1[0], x0[0])), >(x0[0], -1)), java.lang.Object(ARRAY(x0[0])), x1[0])), ≥)∧[(-1)Bound*bni_10] + [bni_10]x0[0] ≥ 0∧[(-1)bso_11] ≥ 0)
(7) (COND_263_0_MAIN_LOAD(TRUE, java.lang.Object(ARRAY(x0[1])), x1[1])≥NonInfC∧COND_263_0_MAIN_LOAD(TRUE, java.lang.Object(ARRAY(x0[1])), x1[1])≥263_0_MAIN_LOAD(java.lang.Object(ARRAY(x0[1])), +(x1[1], 1))∧(UIncreasing(263_0_MAIN_LOAD(java.lang.Object(ARRAY(x0[1])), +(x1[1], 1))), ≥))
(8) ((UIncreasing(263_0_MAIN_LOAD(java.lang.Object(ARRAY(x0[1])), +(x1[1], 1))), ≥)∧[bni_12] = 0∧[1 + (-1)bso_13] ≥ 0)
(9) ((UIncreasing(263_0_MAIN_LOAD(java.lang.Object(ARRAY(x0[1])), +(x1[1], 1))), ≥)∧[bni_12] = 0∧[1 + (-1)bso_13] ≥ 0)
(10) ((UIncreasing(263_0_MAIN_LOAD(java.lang.Object(ARRAY(x0[1])), +(x1[1], 1))), ≥)∧[bni_12] = 0∧[1 + (-1)bso_13] ≥ 0)
(11) ((UIncreasing(263_0_MAIN_LOAD(java.lang.Object(ARRAY(x0[1])), +(x1[1], 1))), ≥)∧[bni_12] = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_13] ≥ 0)
POL(TRUE) = 0
POL(FALSE) = 0
POL(263_0_MAIN_LOAD(x1, x2)) = [-1] + [-1]x2 + x1
POL(java.lang.Object(x1)) = x1
POL(ARRAY(x1)) = x1
POL(COND_263_0_MAIN_LOAD(x1, x2, x3)) = [-1] + [-1]x3 + x2
POL(&&(x1, x2)) = [-1]
POL(>(x1, x2)) = [-1]
POL(-1) = [-1]
POL(<(x1, x2)) = [-1]
POL(+(x1, x2)) = x1 + x2
POL(1) = [1]
COND_263_0_MAIN_LOAD(TRUE, java.lang.Object(ARRAY(x0[1])), x1[1]) → 263_0_MAIN_LOAD(java.lang.Object(ARRAY(x0[1])), +(x1[1], 1))
263_0_MAIN_LOAD(java.lang.Object(ARRAY(x0[0])), x1[0]) → COND_263_0_MAIN_LOAD(&&(&&(>(x1[0], -1), <(x1[0], x0[0])), >(x0[0], -1)), java.lang.Object(ARRAY(x0[0])), x1[0])
263_0_MAIN_LOAD(java.lang.Object(ARRAY(x0[0])), x1[0]) → COND_263_0_MAIN_LOAD(&&(&&(>(x1[0], -1), <(x1[0], x0[0])), >(x0[0], -1)), java.lang.Object(ARRAY(x0[0])), x1[0])
!= | ~ | Neq: (Integer, Integer) -> Boolean |
* | ~ | Mul: (Integer, Integer) -> Integer |
>= | ~ | Ge: (Integer, Integer) -> Boolean |
-1 | ~ | UnaryMinus: (Integer) -> Integer |
| | ~ | Bwor: (Integer, Integer) -> Integer |
/ | ~ | Div: (Integer, Integer) -> Integer |
= | ~ | Eq: (Integer, Integer) -> Boolean |
~ | Bwxor: (Integer, Integer) -> Integer | |
|| | ~ | Lor: (Boolean, Boolean) -> Boolean |
! | ~ | Lnot: (Boolean) -> Boolean |
< | ~ | Lt: (Integer, Integer) -> Boolean |
- | ~ | Sub: (Integer, Integer) -> Integer |
<= | ~ | Le: (Integer, Integer) -> Boolean |
> | ~ | Gt: (Integer, Integer) -> Boolean |
~ | ~ | Bwnot: (Integer) -> Integer |
% | ~ | Mod: (Integer, Integer) -> Integer |
& | ~ | Bwand: (Integer, Integer) -> Integer |
+ | ~ | Add: (Integer, Integer) -> Integer |
&& | ~ | Land: (Boolean, Boolean) -> Boolean |
Boolean, Integer
!= | ~ | Neq: (Integer, Integer) -> Boolean |
* | ~ | Mul: (Integer, Integer) -> Integer |
>= | ~ | Ge: (Integer, Integer) -> Boolean |
-1 | ~ | UnaryMinus: (Integer) -> Integer |
| | ~ | Bwor: (Integer, Integer) -> Integer |
/ | ~ | Div: (Integer, Integer) -> Integer |
= | ~ | Eq: (Integer, Integer) -> Boolean |
~ | Bwxor: (Integer, Integer) -> Integer | |
|| | ~ | Lor: (Boolean, Boolean) -> Boolean |
! | ~ | Lnot: (Boolean) -> Boolean |
< | ~ | Lt: (Integer, Integer) -> Boolean |
- | ~ | Sub: (Integer, Integer) -> Integer |
<= | ~ | Le: (Integer, Integer) -> Boolean |
> | ~ | Gt: (Integer, Integer) -> Boolean |
~ | ~ | Bwnot: (Integer) -> Integer |
% | ~ | Mod: (Integer, Integer) -> Integer |
& | ~ | Bwand: (Integer, Integer) -> Integer |
+ | ~ | Add: (Integer, Integer) -> Integer |
&& | ~ | Land: (Boolean, Boolean) -> Boolean |
Integer