(0) Obligation:

JBC Problem based on JBC Program:
No human-readable program information known.

Manifest-Version: 1.0 Created-By: 1.6.0_20 (Apple Inc.) Main-Class: Test7

(1) JBC2FIG (SOUND transformation)

Constructed FIGraph.

(2) Obligation:

FIGraph based on JBC Program:
Graph of 243 nodes with 4 SCCs.

(3) FIGtoITRSProof (SOUND transformation)

Transformed FIGraph to ITRS rules

(4) Complex Obligation (AND)

(5) Obligation:

ITRS problem:

The following function symbols are pre-defined:
!=~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

The TRS R consists of the following rules:
Load1380(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376) → Load1380ARR1(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903)
Load1380ARR1(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903) → Cond_Load1380ARR1(0 >= 0 && i376 >= 0 && i376 < 3, java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903) → Load1493(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903, 0)
Load1493(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, java.lang.Object(List(i379, o933)), i378) → Load1493(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, o933, i378 + 1)
Load1493(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, NULL, i378) → Load1702(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, i378, 0)
Return1966(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386) → Load1702(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386 + 1)
Load1948(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, NULL) → Load1702(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386 + 1)
Load1702(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) → Cond_Load1702(i385 >= 0 && i386 >= i385 && i376 + 1 > 0, java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) → Load1380(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376 + 1)
Load1702(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) → Load1702ARR2(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956)
Load1702ARR2(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956) → Cond_Load1702ARR2(0 >= 0 && 0 < 3 && i386 >= 0 && i386 < i385, java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956) → Load1948(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956)
Load2114(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → Load1948(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i411, o1161)))
Load1948(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → Cond_Load1948(i409 <= i411, java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → Load1948(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i411, o1161)))
Load1948(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → Cond_Load19481(i409 > i411, java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → Load2114(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i411, java.lang.Object(List(i409, o1161)))))
Load1948(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, NULL))) → Return1966(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386)
The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(0, DATA)), java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(6) GroundTermsRemoverProof (EQUIVALENT transformation)

Some arguments are removed because they always contain the same ground term.
We removed the following ground terms:
  • java.lang.Object(ARRAY(0, DATA))

We removed arguments according to the following replacements:

Load1948(x1, x2, x3, x4, x5, x6) → Load1948(x2, x3, x4, x5, x6)
Load2114(x1, x2, x3, x4, x5, x6) → Load2114(x2, x3, x4, x5, x6)
Cond_Load19481(x1, x2, x3, x4, x5, x6, x7) → Cond_Load19481(x1, x3, x4, x5, x6, x7)
Cond_Load1948(x1, x2, x3, x4, x5, x6, x7) → Cond_Load1948(x1, x3, x4, x5, x6, x7)
Cond_Load1702ARR2(x1, x2, x3, x4, x5, x6, x7) → Cond_Load1702ARR2(x1, x3, x4, x5, x6, x7)
Load1702ARR2(x1, x2, x3, x4, x5, x6) → Load1702ARR2(x2, x3, x4, x5, x6)
Load1380(x1, x2, x3) → Load1380(x2, x3)
Cond_Load1702(x1, x2, x3, x4, x5, x6) → Cond_Load1702(x1, x3, x4, x5, x6)
Load1702(x1, x2, x3, x4, x5) → Load1702(x2, x3, x4, x5)
Return1966(x1, x2, x3, x4, x5) → Return1966(x2, x3, x4, x5)
Load1493(x1, x2, x3, x4, x5) → Load1493(x2, x3, x4, x5)
Cond_Load1380ARR1(x1, x2, x3, x4, x5) → Cond_Load1380ARR1(x1, x3, x4, x5)
Load1380ARR1(x1, x2, x3, x4) → Load1380ARR1(x2, x3, x4)

(7) Obligation:

ITRS problem:

The following function symbols are pre-defined:
!=~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

The TRS R consists of the following rules:
Load1380(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376) → Load1380ARR1(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903) → Cond_Load1380ARR1(0 >= 0 && i376 >= 0 && i376 < 3, java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903) → Load1493(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903, 0)
Load1493(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, java.lang.Object(List(i379, o933)), i378) → Load1493(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, o933, i378 + 1)
Load1493(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, NULL, i378) → Load1702(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, i378, 0)
Return1966(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386) → Load1702(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386 + 1)
Load1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, NULL) → Load1702(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386 + 1)
Load1702(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) → Cond_Load1702(i385 >= 0 && i386 >= i385 && i376 + 1 > 0, java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) → Load1380(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376 + 1)
Load1702(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) → Load1702ARR2(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956) → Cond_Load1702ARR2(0 >= 0 && 0 < 3 && i386 >= 0 && i386 < i385, java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956) → Load1948(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956)
Load2114(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → Load1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i411, o1161)))
Load1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → Cond_Load1948(i409 <= i411, java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → Load1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i411, o1161)))
Load1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → Cond_Load19481(i409 > i411, java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → Load2114(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i411, java.lang.Object(List(i409, o1161)))))
Load1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, NULL))) → Return1966(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386)
The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(8) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

(9) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Boolean, Integer


The ITRS R consists of the following rules:
Load1380(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376) → Load1380ARR1(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903) → Cond_Load1380ARR1(0 >= 0 && i376 >= 0 && i376 < 3, java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903) → Load1493(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903, 0)
Load1493(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, java.lang.Object(List(i379, o933)), i378) → Load1493(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, o933, i378 + 1)
Load1493(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, NULL, i378) → Load1702(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, i378, 0)
Return1966(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386) → Load1702(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386 + 1)
Load1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, NULL) → Load1702(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386 + 1)
Load1702(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) → Cond_Load1702(i385 >= 0 && i386 >= i385 && i376 + 1 > 0, java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) → Load1380(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376 + 1)
Load1702(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) → Load1702ARR2(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956) → Cond_Load1702ARR2(0 >= 0 && 0 < 3 && i386 >= 0 && i386 < i385, java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956) → Load1948(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956)
Load2114(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → Load1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i411, o1161)))
Load1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → Cond_Load1948(i409 <= i411, java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → Load1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i411, o1161)))
Load1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → Cond_Load19481(i409 > i411, java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → Load2114(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i411, java.lang.Object(List(i409, o1161)))))
Load1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, NULL))) → Return1966(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386)

The integer pair graph contains the following rules and edges:
(0): LOAD1380(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0]) → LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0], o903[0])
(1): LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1]) → COND_LOAD1380ARR1(0 >= 0 && i376[1] >= 0 && i376[1] < 3, java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])
(2): COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0)
(3): LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], i378[3] + 1)
(4): LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)
(5): RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5] + 1)
(6): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6] + 1)
(7): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]) → COND_LOAD1702(i385[7] >= 0 && i386[7] >= i385[7] && i376[7] + 1 > 0, java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])
(8): COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8]) → LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8] + 1)
(9): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])
(10): LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10], java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])
(11): COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
(14): COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(17): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])

(0) -> (1), if ((o903[0]* o903[1])∧(i376[0]* i376[1])∧(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))) →* java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1])))))


(1) -> (2), if ((java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))) →* java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))))∧(0 >= 0 && i376[1] >= 0 && i376[1] < 3* TRUE)∧(o903[1]* o903[2])∧(i376[1]* i376[2]))


(2) -> (3), if ((i376[2]* i376[3])∧(0* i378[3])∧(o903[2]* java.lang.Object(List(i379[3], o933[3])))∧(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))) →* java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3])))))


(2) -> (4), if ((i376[2]* i376[4])∧(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))) →* java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))))∧(0* i378[4])∧(o903[2]* NULL))


(3) -> (3), if ((i376[3]* i376[3]')∧(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))) →* java.lang.Object(ARRAY(3, DATA(o925[3]', o926[3]', o927[3]'))))∧(i378[3] + 1* i378[3]')∧(o933[3]* java.lang.Object(List(i379[3]', o933[3]'))))


(3) -> (4), if ((i378[3] + 1* i378[4])∧(o933[3]* NULL)∧(i376[3]* i376[4])∧(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))) →* java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4])))))


(4) -> (7), if ((i378[4]* i385[7])∧(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))) →* java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))))∧(i376[4]* i376[7])∧(0* i386[7]))


(4) -> (9), if ((java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))) →* java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))))∧(i378[4]* i385[9])∧(i376[4]* i376[9])∧(0* i386[9]))


(5) -> (7), if ((i386[5] + 1* i386[7])∧(i385[5]* i385[7])∧(i376[5]* i376[7])∧(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))) →* java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7])))))


(5) -> (9), if ((i385[5]* i385[9])∧(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))) →* java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))))∧(i386[5] + 1* i386[9])∧(i376[5]* i376[9]))


(6) -> (7), if ((i385[6]* i385[7])∧(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))) →* java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))))∧(i386[6] + 1* i386[7])∧(i376[6]* i376[7]))


(6) -> (9), if ((i385[6]* i385[9])∧(i386[6] + 1* i386[9])∧(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))) →* java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))))∧(i376[6]* i376[9]))


(7) -> (8), if ((java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))) →* java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))))∧(i385[7]* i385[8])∧(i376[7]* i376[8])∧(i386[7]* i386[8])∧(i385[7] >= 0 && i386[7] >= i385[7] && i376[7] + 1 > 0* TRUE))


(8) -> (0), if ((i376[8] + 1* i376[0])∧(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))) →* java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0])))))


(9) -> (10), if ((o956[9]* o956[10])∧(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))) →* java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))))∧(i376[9]* i376[10])∧(i385[9]* i385[10])∧(i386[9]* i386[10]))


(10) -> (11), if ((o956[10]* o956[11])∧(i376[10]* i376[11])∧(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))) →* java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))))∧(i385[10]* i385[11])∧(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10]* TRUE)∧(i386[10]* i386[11]))


(11) -> (6), if ((i385[11]* i385[6])∧(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))) →* java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))))∧(i386[11]* i386[6])∧(o956[11]* NULL)∧(i376[11]* i376[6]))


(11) -> (13), if ((o956[11]* java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(i376[11]* i376[13])∧(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))) →* java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))))∧(i386[11]* i386[13])∧(i385[11]* i385[13]))


(11) -> (15), if ((i376[11]* i376[15])∧(i386[11]* i386[15])∧(o956[11]* java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))) →* java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))))∧(i385[11]* i385[15]))


(11) -> (17), if ((i385[11]* i385[17])∧(o956[11]* java.lang.Object(List(i409[17], NULL)))∧(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))) →* java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))))∧(i386[11]* i386[17])∧(i376[11]* i376[17]))


(12) -> (6), if ((i376[12]* i376[6])∧(i385[12]* i385[6])∧(java.lang.Object(List(i411[12], o1161[12])) →* NULL)∧(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))) →* java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))))∧(i386[12]* i386[6]))


(12) -> (13), if ((java.lang.Object(List(i411[12], o1161[12])) →* java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(i386[12]* i386[13])∧(i385[12]* i385[13])∧(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))) →* java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))))∧(i376[12]* i376[13]))


(12) -> (15), if ((i376[12]* i376[15])∧(java.lang.Object(List(i411[12], o1161[12])) →* java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(i386[12]* i386[15])∧(i385[12]* i385[15])∧(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))) →* java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15])))))


(12) -> (17), if ((i386[12]* i386[17])∧(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))) →* java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))))∧(java.lang.Object(List(i411[12], o1161[12])) →* java.lang.Object(List(i409[17], NULL)))∧(i376[12]* i376[17])∧(i385[12]* i385[17]))


(13) -> (14), if ((i376[13]* i376[14])∧(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))) →* java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))))∧(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))) →* java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))∧(i386[13]* i386[14])∧(i409[13] <= i411[13]* TRUE)∧(i385[13]* i385[14]))


(14) -> (6), if ((java.lang.Object(List(i411[14], o1161[14])) →* NULL)∧(i376[14]* i376[6])∧(i385[14]* i385[6])∧(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))) →* java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))))∧(i386[14]* i386[6]))


(14) -> (13), if ((i376[14]* i376[13])∧(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))) →* java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))))∧(i386[14]* i386[13])∧(java.lang.Object(List(i411[14], o1161[14])) →* java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(i385[14]* i385[13]))


(14) -> (15), if ((java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))) →* java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))))∧(i386[14]* i386[15])∧(i385[14]* i385[15])∧(java.lang.Object(List(i411[14], o1161[14])) →* java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(i376[14]* i376[15]))


(14) -> (17), if ((java.lang.Object(List(i411[14], o1161[14])) →* java.lang.Object(List(i409[17], NULL)))∧(i376[14]* i376[17])∧(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))) →* java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))))∧(i385[14]* i385[17])∧(i386[14]* i386[17]))


(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))) →* java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))∧(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))) →* java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))


(16) -> (12), if ((i386[16]* i386[12])∧(i385[16]* i385[12])∧(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))) →* java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))))∧(java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))) →* java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))∧(i376[16]* i376[12]))


(17) -> (5), if ((i386[17]* i386[5])∧(i385[17]* i385[5])∧(i376[17]* i376[5])∧(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))) →* java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5])))))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(10) UsableRulesProof (EQUIVALENT transformation)

As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.

(11) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Boolean, Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD1380(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0]) → LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0], o903[0])
(1): LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1]) → COND_LOAD1380ARR1(0 >= 0 && i376[1] >= 0 && i376[1] < 3, java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])
(2): COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0)
(3): LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], i378[3] + 1)
(4): LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)
(5): RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5] + 1)
(6): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6] + 1)
(7): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]) → COND_LOAD1702(i385[7] >= 0 && i386[7] >= i385[7] && i376[7] + 1 > 0, java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])
(8): COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8]) → LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8] + 1)
(9): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])
(10): LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10], java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])
(11): COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
(14): COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(17): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])

(0) -> (1), if ((o903[0]* o903[1])∧(i376[0]* i376[1])∧(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))) →* java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1])))))


(1) -> (2), if ((java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))) →* java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))))∧(0 >= 0 && i376[1] >= 0 && i376[1] < 3* TRUE)∧(o903[1]* o903[2])∧(i376[1]* i376[2]))


(2) -> (3), if ((i376[2]* i376[3])∧(0* i378[3])∧(o903[2]* java.lang.Object(List(i379[3], o933[3])))∧(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))) →* java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3])))))


(2) -> (4), if ((i376[2]* i376[4])∧(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))) →* java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))))∧(0* i378[4])∧(o903[2]* NULL))


(3) -> (3), if ((i376[3]* i376[3]')∧(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))) →* java.lang.Object(ARRAY(3, DATA(o925[3]', o926[3]', o927[3]'))))∧(i378[3] + 1* i378[3]')∧(o933[3]* java.lang.Object(List(i379[3]', o933[3]'))))


(3) -> (4), if ((i378[3] + 1* i378[4])∧(o933[3]* NULL)∧(i376[3]* i376[4])∧(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))) →* java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4])))))


(4) -> (7), if ((i378[4]* i385[7])∧(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))) →* java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))))∧(i376[4]* i376[7])∧(0* i386[7]))


(4) -> (9), if ((java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))) →* java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))))∧(i378[4]* i385[9])∧(i376[4]* i376[9])∧(0* i386[9]))


(5) -> (7), if ((i386[5] + 1* i386[7])∧(i385[5]* i385[7])∧(i376[5]* i376[7])∧(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))) →* java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7])))))


(5) -> (9), if ((i385[5]* i385[9])∧(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))) →* java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))))∧(i386[5] + 1* i386[9])∧(i376[5]* i376[9]))


(6) -> (7), if ((i385[6]* i385[7])∧(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))) →* java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))))∧(i386[6] + 1* i386[7])∧(i376[6]* i376[7]))


(6) -> (9), if ((i385[6]* i385[9])∧(i386[6] + 1* i386[9])∧(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))) →* java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))))∧(i376[6]* i376[9]))


(7) -> (8), if ((java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))) →* java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))))∧(i385[7]* i385[8])∧(i376[7]* i376[8])∧(i386[7]* i386[8])∧(i385[7] >= 0 && i386[7] >= i385[7] && i376[7] + 1 > 0* TRUE))


(8) -> (0), if ((i376[8] + 1* i376[0])∧(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))) →* java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0])))))


(9) -> (10), if ((o956[9]* o956[10])∧(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))) →* java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))))∧(i376[9]* i376[10])∧(i385[9]* i385[10])∧(i386[9]* i386[10]))


(10) -> (11), if ((o956[10]* o956[11])∧(i376[10]* i376[11])∧(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))) →* java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))))∧(i385[10]* i385[11])∧(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10]* TRUE)∧(i386[10]* i386[11]))


(11) -> (6), if ((i385[11]* i385[6])∧(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))) →* java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))))∧(i386[11]* i386[6])∧(o956[11]* NULL)∧(i376[11]* i376[6]))


(11) -> (13), if ((o956[11]* java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(i376[11]* i376[13])∧(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))) →* java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))))∧(i386[11]* i386[13])∧(i385[11]* i385[13]))


(11) -> (15), if ((i376[11]* i376[15])∧(i386[11]* i386[15])∧(o956[11]* java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))) →* java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))))∧(i385[11]* i385[15]))


(11) -> (17), if ((i385[11]* i385[17])∧(o956[11]* java.lang.Object(List(i409[17], NULL)))∧(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))) →* java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))))∧(i386[11]* i386[17])∧(i376[11]* i376[17]))


(12) -> (6), if ((i376[12]* i376[6])∧(i385[12]* i385[6])∧(java.lang.Object(List(i411[12], o1161[12])) →* NULL)∧(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))) →* java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))))∧(i386[12]* i386[6]))


(12) -> (13), if ((java.lang.Object(List(i411[12], o1161[12])) →* java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(i386[12]* i386[13])∧(i385[12]* i385[13])∧(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))) →* java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))))∧(i376[12]* i376[13]))


(12) -> (15), if ((i376[12]* i376[15])∧(java.lang.Object(List(i411[12], o1161[12])) →* java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(i386[12]* i386[15])∧(i385[12]* i385[15])∧(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))) →* java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15])))))


(12) -> (17), if ((i386[12]* i386[17])∧(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))) →* java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))))∧(java.lang.Object(List(i411[12], o1161[12])) →* java.lang.Object(List(i409[17], NULL)))∧(i376[12]* i376[17])∧(i385[12]* i385[17]))


(13) -> (14), if ((i376[13]* i376[14])∧(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))) →* java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))))∧(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))) →* java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))∧(i386[13]* i386[14])∧(i409[13] <= i411[13]* TRUE)∧(i385[13]* i385[14]))


(14) -> (6), if ((java.lang.Object(List(i411[14], o1161[14])) →* NULL)∧(i376[14]* i376[6])∧(i385[14]* i385[6])∧(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))) →* java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))))∧(i386[14]* i386[6]))


(14) -> (13), if ((i376[14]* i376[13])∧(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))) →* java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))))∧(i386[14]* i386[13])∧(java.lang.Object(List(i411[14], o1161[14])) →* java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(i385[14]* i385[13]))


(14) -> (15), if ((java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))) →* java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))))∧(i386[14]* i386[15])∧(i385[14]* i385[15])∧(java.lang.Object(List(i411[14], o1161[14])) →* java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(i376[14]* i376[15]))


(14) -> (17), if ((java.lang.Object(List(i411[14], o1161[14])) →* java.lang.Object(List(i409[17], NULL)))∧(i376[14]* i376[17])∧(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))) →* java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))))∧(i385[14]* i385[17])∧(i386[14]* i386[17]))


(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))) →* java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))∧(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))) →* java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))


(16) -> (12), if ((i386[16]* i386[12])∧(i385[16]* i385[12])∧(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))) →* java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))))∧(java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))) →* java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))∧(i376[16]* i376[12]))


(17) -> (5), if ((i386[17]* i386[5])∧(i385[17]* i385[5])∧(i376[17]* i376[5])∧(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))) →* java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5])))))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(12) ItpfGraphProof (EQUIVALENT transformation)

Applied rule ItpfICap [ICap]

(13) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Boolean, Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD1380(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0]) → LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0], o903[0])
(1): LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1]) → COND_LOAD1380ARR1(0 >= 0 && i376[1] >= 0 && i376[1] < 3, java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])
(2): COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0)
(3): LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], i378[3] + 1)
(4): LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)
(5): RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5] + 1)
(6): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6] + 1)
(7): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]) → COND_LOAD1702(i385[7] >= 0 && i386[7] >= i385[7] && i376[7] + 1 > 0, java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])
(8): COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8]) → LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8] + 1)
(9): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])
(10): LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10], java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])
(11): COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
(14): COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(17): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])

(0) -> (1), if ((o903[0]* o903[1])∧(i376[0]* i376[1])∧((o903[0]* o903[1])∧(o904[0]* o904[1])∧(o905[0]* o905[1])))


(1) -> (2), if (((o903[1]* o903[2])∧(o904[1]* o904[2])∧(o905[1]* o905[2]))∧(0 >= 0 && i376[1] >= 0 && i376[1] < 3* TRUE)∧(o903[1]* o903[2])∧(i376[1]* i376[2]))


(2) -> (3), if ((i376[2]* i376[3])∧(0* i378[3])∧(o903[2]* java.lang.Object(List(i379[3], o933[3])))∧((o903[2]* o925[3])∧(o904[2]* o926[3])∧(o905[2]* o927[3])))


(2) -> (4), if ((i376[2]* i376[4])∧((o903[2]* o925[4])∧(o904[2]* o926[4])∧(o905[2]* o927[4]))∧(0* i378[4])∧(o903[2]* NULL))


(3) -> (3), if ((i376[3]* i376[3]')∧((o925[3]* o925[3]')∧(o926[3]* o926[3]')∧(o927[3]* o927[3]'))∧(i378[3] + 1* i378[3]')∧(o933[3]* java.lang.Object(List(i379[3]', o933[3]'))))


(3) -> (4), if ((i378[3] + 1* i378[4])∧(o933[3]* NULL)∧(i376[3]* i376[4])∧((o925[3]* o925[4])∧(o926[3]* o926[4])∧(o927[3]* o927[4])))


(4) -> (7), if ((i378[4]* i385[7])∧((o925[4]* o956[7])∧(o926[4]* o957[7])∧(o927[4]* o958[7]))∧(i376[4]* i376[7])∧(0* i386[7]))


(4) -> (9), if (((o925[4]* o956[9])∧(o926[4]* o957[9])∧(o927[4]* o958[9]))∧(i378[4]* i385[9])∧(i376[4]* i376[9])∧(0* i386[9]))


(5) -> (7), if ((i386[5] + 1* i386[7])∧(i385[5]* i385[7])∧(i376[5]* i376[7])∧((o1096[5]* o956[7])∧(o1097[5]* o957[7])∧(o1098[5]* o958[7])))


(5) -> (9), if ((i385[5]* i385[9])∧((o1096[5]* o956[9])∧(o1097[5]* o957[9])∧(o1098[5]* o958[9]))∧(i386[5] + 1* i386[9])∧(i376[5]* i376[9]))


(6) -> (7), if ((i385[6]* i385[7])∧((o1096[6]* o956[7])∧(o1097[6]* o957[7])∧(o1098[6]* o958[7]))∧(i386[6] + 1* i386[7])∧(i376[6]* i376[7]))


(6) -> (9), if ((i385[6]* i385[9])∧(i386[6] + 1* i386[9])∧((o1096[6]* o956[9])∧(o1097[6]* o957[9])∧(o1098[6]* o958[9]))∧(i376[6]* i376[9]))


(7) -> (8), if (((o956[7]* o956[8])∧(o957[7]* o957[8])∧(o958[7]* o958[8]))∧(i385[7]* i385[8])∧(i376[7]* i376[8])∧(i386[7]* i386[8])∧(i385[7] >= 0 && i386[7] >= i385[7] && i376[7] + 1 > 0* TRUE))


(8) -> (0), if ((i376[8] + 1* i376[0])∧((o956[8]* o903[0])∧(o957[8]* o904[0])∧(o958[8]* o905[0])))


(9) -> (10), if ((o956[9]* o956[10])∧((o956[9]* o956[10])∧(o957[9]* o957[10])∧(o958[9]* o958[10]))∧(i376[9]* i376[10])∧(i385[9]* i385[10])∧(i386[9]* i386[10]))


(10) -> (11), if ((o956[10]* o956[11])∧(i376[10]* i376[11])∧((o956[10]* o956[11])∧(o957[10]* o957[11])∧(o958[10]* o958[11]))∧(i385[10]* i385[11])∧(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10]* TRUE)∧(i386[10]* i386[11]))


(11) -> (6), if ((i385[11]* i385[6])∧((o956[11]* o1096[6])∧(o957[11]* o1097[6])∧(o958[11]* o1098[6]))∧(i386[11]* i386[6])∧(o956[11]* NULL)∧(i376[11]* i376[6]))


(11) -> (13), if ((o956[11]* java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(i376[11]* i376[13])∧((o956[11]* o1096[13])∧(o957[11]* o1097[13])∧(o958[11]* o1098[13]))∧(i386[11]* i386[13])∧(i385[11]* i385[13]))


(11) -> (15), if ((i376[11]* i376[15])∧(i386[11]* i386[15])∧(o956[11]* java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧((o956[11]* o1096[15])∧(o957[11]* o1097[15])∧(o958[11]* o1098[15]))∧(i385[11]* i385[15]))


(11) -> (17), if ((i385[11]* i385[17])∧(o956[11]* java.lang.Object(List(i409[17], NULL)))∧((o956[11]* o1096[17])∧(o957[11]* o1097[17])∧(o958[11]* o1098[17]))∧(i386[11]* i386[17])∧(i376[11]* i376[17]))


(12) -> (6), if ((i376[12]* i376[6])∧(i385[12]* i385[6])∧false∧((o1096[12]* o1096[6])∧(o1097[12]* o1097[6])∧(o1098[12]* o1098[6]))∧(i386[12]* i386[6]))


(12) -> (13), if (((i411[12]* i409[13])∧(o1161[12]* java.lang.Object(List(i411[13], o1161[13]))))∧(i386[12]* i386[13])∧(i385[12]* i385[13])∧((o1096[12]* o1096[13])∧(o1097[12]* o1097[13])∧(o1098[12]* o1098[13]))∧(i376[12]* i376[13]))


(12) -> (15), if ((i376[12]* i376[15])∧((i411[12]* i409[15])∧(o1161[12]* java.lang.Object(List(i411[15], o1161[15]))))∧(i386[12]* i386[15])∧(i385[12]* i385[15])∧((o1096[12]* o1096[15])∧(o1097[12]* o1097[15])∧(o1098[12]* o1098[15])))


(12) -> (17), if ((i386[12]* i386[17])∧((o1096[12]* o1096[17])∧(o1097[12]* o1097[17])∧(o1098[12]* o1098[17]))∧((i411[12]* i409[17])∧(o1161[12]* NULL))∧(i376[12]* i376[17])∧(i385[12]* i385[17]))


(13) -> (14), if ((i376[13]* i376[14])∧((o1096[13]* o1096[14])∧(o1097[13]* o1097[14])∧(o1098[13]* o1098[14]))∧((i409[13]* i409[14])∧(i411[13]* i411[14])∧(o1161[13]* o1161[14]))∧(i386[13]* i386[14])∧(i409[13] <= i411[13]* TRUE)∧(i385[13]* i385[14]))


(14) -> (6), if (false∧(i376[14]* i376[6])∧(i385[14]* i385[6])∧((o1096[14]* o1096[6])∧(o1097[14]* o1097[6])∧(o1098[14]* o1098[6]))∧(i386[14]* i386[6]))


(14) -> (13), if ((i376[14]* i376[13])∧((o1096[14]* o1096[13])∧(o1097[14]* o1097[13])∧(o1098[14]* o1098[13]))∧(i386[14]* i386[13])∧((i411[14]* i409[13])∧(o1161[14]* java.lang.Object(List(i411[13], o1161[13]))))∧(i385[14]* i385[13]))


(14) -> (15), if (((o1096[14]* o1096[15])∧(o1097[14]* o1097[15])∧(o1098[14]* o1098[15]))∧(i386[14]* i386[15])∧(i385[14]* i385[15])∧((i411[14]* i409[15])∧(o1161[14]* java.lang.Object(List(i411[15], o1161[15]))))∧(i376[14]* i376[15]))


(14) -> (17), if (((i411[14]* i409[17])∧(o1161[14]* NULL))∧(i376[14]* i376[17])∧((o1096[14]* o1096[17])∧(o1097[14]* o1097[17])∧(o1098[14]* o1098[17]))∧(i385[14]* i385[17])∧(i386[14]* i386[17]))


(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧((i409[15]* i409[16])∧(i411[15]* i411[16])∧(o1161[15]* o1161[16]))∧((o1096[15]* o1096[16])∧(o1097[15]* o1097[16])∧(o1098[15]* o1098[16]))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))


(16) -> (12), if ((i386[16]* i386[12])∧(i385[16]* i385[12])∧((o1096[16]* o1096[12])∧(o1097[16]* o1097[12])∧(o1098[16]* o1098[12]))∧((i411[16]* i409[12])∧(i409[16]* i411[12])∧(o1161[16]* o1161[12]))∧(i376[16]* i376[12]))


(17) -> (5), if ((i386[17]* i386[5])∧(i385[17]* i385[5])∧(i376[17]* i376[5])∧((o1096[17]* o1096[5])∧(o1097[17]* o1097[5])∧(o1098[17]* o1098[5])))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(14) IDPNonInfProof (SOUND transformation)

The constraints were generated the following way:
The DP Problem is simplified using the Induction Calculus [NONINF] with the following steps:
Note that final constraints are written in bold face.


For Pair LOAD1380(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376) → LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903) the following chains were created:
  • We consider the chain LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]) → COND_LOAD1702(&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0)), java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]), COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8]) → LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1)), LOAD1380(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0]) → LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0], o903[0]) which results in the following constraint:

    (1)    (o956[7]=o956[8]o957[7]=o957[8]o958[7]=o958[8]i385[7]=i385[8]i376[7]=i376[8]i386[7]=i386[8]&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0))=TRUE+(i376[8], 1)=i376[0]o956[8]=o903[0]o957[8]=o904[0]o958[8]=o905[0]LOAD1380(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0])≥NonInfC∧LOAD1380(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0])≥LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0], o903[0])∧(UIncreasing(LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0], o903[0])), ≥))



    We simplified constraint (1) using rules (III), (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (2)    (>(+(i376[7], 1), 0)=TRUE>=(i385[7], 0)=TRUE>=(i386[7], i385[7])=TRUELOAD1380(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), +(i376[7], 1))≥NonInfC∧LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), +(i376[7], 1))≥LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), +(i376[7], 1), o956[7])∧(UIncreasing(LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0], o903[0])), ≥))



    We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (3)    (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[7] + [-1]i385[7] ≥ 0 ⇒ (UIncreasing(LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0], o903[0])), ≥)∧[(-1)bni_33 + (-1)Bound*bni_33] + [(-1)bni_33]i376[7] ≥ 0∧[1 + (-1)bso_34] ≥ 0)



    We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (4)    (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[7] + [-1]i385[7] ≥ 0 ⇒ (UIncreasing(LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0], o903[0])), ≥)∧[(-1)bni_33 + (-1)Bound*bni_33] + [(-1)bni_33]i376[7] ≥ 0∧[1 + (-1)bso_34] ≥ 0)



    We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (5)    (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[7] + [-1]i385[7] ≥ 0 ⇒ (UIncreasing(LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0], o903[0])), ≥)∧[(-1)bni_33 + (-1)Bound*bni_33] + [(-1)bni_33]i376[7] ≥ 0∧[1 + (-1)bso_34] ≥ 0)







For Pair LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903) → COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376, 0)), <(i376, 3)), java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903) the following chains were created:
  • We consider the chain LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1]) → COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3)), java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1]), COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0) which results in the following constraint:

    (6)    (o903[1]=o903[2]o904[1]=o904[2]o905[1]=o905[2]&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3))=TRUEi376[1]=i376[2]LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])≥NonInfC∧LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])≥COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3)), java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])∧(UIncreasing(COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3)), java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])), ≥))



    We simplified constraint (6) using rules (IV), (IDP_CONSTANT_FOLD), (DELETE_TRIVIAL_REDUCESTO), (IDP_BOOLEAN) which results in the following new constraint:

    (7)    (<(i376[1], 3)=TRUE>=(i376[1], 0)=TRUELOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])≥NonInfC∧LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])≥COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3)), java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])∧(UIncreasing(COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3)), java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])), ≥))



    We simplified constraint (7) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (8)    ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3)), java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])), ≥)∧[(-1)bni_35 + (-1)Bound*bni_35] + [(-1)bni_35]i376[1] ≥ 0∧[(-1)bso_36] ≥ 0)



    We simplified constraint (8) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (9)    ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3)), java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])), ≥)∧[(-1)bni_35 + (-1)Bound*bni_35] + [(-1)bni_35]i376[1] ≥ 0∧[(-1)bso_36] ≥ 0)



    We simplified constraint (9) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (10)    ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3)), java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])), ≥)∧[(-1)bni_35 + (-1)Bound*bni_35] + [(-1)bni_35]i376[1] ≥ 0∧[(-1)bso_36] ≥ 0)







For Pair COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903, 0) the following chains were created:
  • We consider the chain LOAD1380(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0]) → LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0], o903[0]), LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1]) → COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3)), java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1]), COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0) which results in the following constraint:

    (11)    (o903[0]=o903[1]i376[0]=i376[1]o904[0]=o904[1]o905[0]=o905[1]o903[1]=o903[2]o904[1]=o904[2]o905[1]=o905[2]&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3))=TRUEi376[1]=i376[2]COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2])≥NonInfC∧COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2])≥LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0)∧(UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0)), ≥))



    We simplified constraint (11) using rules (III), (IDP_CONSTANT_FOLD), (DELETE_TRIVIAL_REDUCESTO), (IDP_BOOLEAN) which results in the following new constraint:

    (12)    (<(i376[1], 3)=TRUE>=(i376[1], 0)=TRUECOND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[1], o903[0])≥NonInfC∧COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[1], o903[0])≥LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[1], o903[0], 0)∧(UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0)), ≥))



    We simplified constraint (12) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (13)    ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0)), ≥)∧[(-1)bni_37 + (-1)Bound*bni_37] + [(-1)bni_37]i376[1] ≥ 0∧[(-1)bso_38] ≥ 0)



    We simplified constraint (13) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (14)    ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0)), ≥)∧[(-1)bni_37 + (-1)Bound*bni_37] + [(-1)bni_37]i376[1] ≥ 0∧[(-1)bso_38] ≥ 0)



    We simplified constraint (14) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (15)    ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0)), ≥)∧[(-1)bni_37 + (-1)Bound*bni_37] + [(-1)bni_37]i376[1] ≥ 0∧[(-1)bso_38] ≥ 0)







For Pair LOAD1493(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, java.lang.Object(List(i379, o933)), i378) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, o933, +(i378, 1)) the following chains were created:
  • We consider the chain LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1]) → COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3)), java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1]), COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0), LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1)) which results in the following constraint:

    (16)    (o903[1]=o903[2]o904[1]=o904[2]o905[1]=o905[2]&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3))=TRUEi376[1]=i376[2]i376[2]=i376[3]0=i378[3]o903[2]=java.lang.Object(List(i379[3], o933[3]))∧o903[2]=o925[3]o904[2]=o926[3]o905[2]=o927[3]LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3])≥NonInfC∧LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3])≥LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1))∧(UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1))), ≥))



    We simplified constraint (16) using rules (III), (IDP_CONSTANT_FOLD), (DELETE_TRIVIAL_REDUCESTO), (IDP_BOOLEAN) which results in the following new constraint:

    (17)    (<(i376[1], 3)=TRUE>=(i376[1], 0)=TRUELOAD1493(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i379[3], o933[3])), o904[1], o905[1]))), i376[1], java.lang.Object(List(i379[3], o933[3])), 0)≥NonInfC∧LOAD1493(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i379[3], o933[3])), o904[1], o905[1]))), i376[1], java.lang.Object(List(i379[3], o933[3])), 0)≥LOAD1493(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i379[3], o933[3])), o904[1], o905[1]))), i376[1], o933[3], +(0, 1))∧(UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1))), ≥))



    We simplified constraint (17) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (18)    ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1))), ≥)∧[(-1)bni_39 + (-1)Bound*bni_39] + [(-1)bni_39]i376[1] ≥ 0∧[(-1)bso_40] ≥ 0)



    We simplified constraint (18) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (19)    ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1))), ≥)∧[(-1)bni_39 + (-1)Bound*bni_39] + [(-1)bni_39]i376[1] ≥ 0∧[(-1)bso_40] ≥ 0)



    We simplified constraint (19) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (20)    ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1))), ≥)∧[(-1)bni_39 + (-1)Bound*bni_39] + [(-1)bni_39]i376[1] ≥ 0∧[(-1)bso_40] ≥ 0)



  • We consider the chain COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0), LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1)), LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1)) which results in the following constraint:

    (21)    (i376[2]=i376[3]0=i378[3]o903[2]=java.lang.Object(List(i379[3], o933[3]))∧o903[2]=o925[3]o904[2]=o926[3]o905[2]=o927[3]i376[3]=i376[3]1o925[3]=o925[3]1o926[3]=o926[3]1o927[3]=o927[3]1+(i378[3], 1)=i378[3]1o933[3]=java.lang.Object(List(i379[3]1, o933[3]1)) ⇒ LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]1, o926[3]1, o927[3]1))), i376[3]1, java.lang.Object(List(i379[3]1, o933[3]1)), i378[3]1)≥NonInfC∧LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]1, o926[3]1, o927[3]1))), i376[3]1, java.lang.Object(List(i379[3]1, o933[3]1)), i378[3]1)≥LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]1, o926[3]1, o927[3]1))), i376[3]1, o933[3]1, +(i378[3]1, 1))∧(UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]1, o926[3]1, o927[3]1))), i376[3]1, o933[3]1, +(i378[3]1, 1))), ≥))



    We simplified constraint (21) using rules (III), (IDP_CONSTANT_FOLD) which results in the following new constraint:

    (22)    (LOAD1493(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i379[3], java.lang.Object(List(i379[3]1, o933[3]1)))), o904[2], o905[2]))), i376[2], java.lang.Object(List(i379[3]1, o933[3]1)), 1)≥NonInfC∧LOAD1493(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i379[3], java.lang.Object(List(i379[3]1, o933[3]1)))), o904[2], o905[2]))), i376[2], java.lang.Object(List(i379[3]1, o933[3]1)), 1)≥LOAD1493(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i379[3], java.lang.Object(List(i379[3]1, o933[3]1)))), o904[2], o905[2]))), i376[2], o933[3]1, +(1, 1))∧(UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]1, o926[3]1, o927[3]1))), i376[3]1, o933[3]1, +(i378[3]1, 1))), ≥))



    We simplified constraint (22) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (23)    ((UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]1, o926[3]1, o927[3]1))), i376[3]1, o933[3]1, +(i378[3]1, 1))), ≥)∧[(-1)bso_40] ≥ 0)



    We simplified constraint (23) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (24)    ((UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]1, o926[3]1, o927[3]1))), i376[3]1, o933[3]1, +(i378[3]1, 1))), ≥)∧[(-1)bso_40] ≥ 0)



    We simplified constraint (24) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (25)    ((UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]1, o926[3]1, o927[3]1))), i376[3]1, o933[3]1, +(i378[3]1, 1))), ≥)∧[(-1)bso_40] ≥ 0)



    We simplified constraint (25) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (26)    ((UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]1, o926[3]1, o927[3]1))), i376[3]1, o933[3]1, +(i378[3]1, 1))), ≥)∧0 = 0∧[(-1)bso_40] ≥ 0)



  • We consider the chain LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1)), LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1)), LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1)) which results in the following constraint:

    (27)    (i376[3]=i376[3]1o925[3]=o925[3]1o926[3]=o926[3]1o927[3]=o927[3]1+(i378[3], 1)=i378[3]1o933[3]=java.lang.Object(List(i379[3]1, o933[3]1))∧i376[3]1=i376[3]2o925[3]1=o925[3]2o926[3]1=o926[3]2o927[3]1=o927[3]2+(i378[3]1, 1)=i378[3]2o933[3]1=java.lang.Object(List(i379[3]2, o933[3]2)) ⇒ LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]2, o926[3]2, o927[3]2))), i376[3]2, java.lang.Object(List(i379[3]2, o933[3]2)), i378[3]2)≥NonInfC∧LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]2, o926[3]2, o927[3]2))), i376[3]2, java.lang.Object(List(i379[3]2, o933[3]2)), i378[3]2)≥LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]2, o926[3]2, o927[3]2))), i376[3]2, o933[3]2, +(i378[3]2, 1))∧(UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]2, o926[3]2, o927[3]2))), i376[3]2, o933[3]2, +(i378[3]2, 1))), ≥))



    We simplified constraint (27) using rule (III) which results in the following new constraint:

    (28)    (LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3]2, o933[3]2)), +(+(i378[3], 1), 1))≥NonInfC∧LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3]2, o933[3]2)), +(+(i378[3], 1), 1))≥LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3]2, +(+(+(i378[3], 1), 1), 1))∧(UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]2, o926[3]2, o927[3]2))), i376[3]2, o933[3]2, +(i378[3]2, 1))), ≥))



    We simplified constraint (28) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (29)    ((UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]2, o926[3]2, o927[3]2))), i376[3]2, o933[3]2, +(i378[3]2, 1))), ≥)∧[(-1)bso_40] ≥ 0)



    We simplified constraint (29) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (30)    ((UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]2, o926[3]2, o927[3]2))), i376[3]2, o933[3]2, +(i378[3]2, 1))), ≥)∧[(-1)bso_40] ≥ 0)



    We simplified constraint (30) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (31)    ((UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]2, o926[3]2, o927[3]2))), i376[3]2, o933[3]2, +(i378[3]2, 1))), ≥)∧[(-1)bso_40] ≥ 0)



    We simplified constraint (31) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (32)    ((UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]2, o926[3]2, o927[3]2))), i376[3]2, o933[3]2, +(i378[3]2, 1))), ≥)∧0 = 0∧0 = 0∧[(-1)bso_40] ≥ 0)







For Pair LOAD1493(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, NULL, i378) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, i378, 0) the following chains were created:
  • We consider the chain LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1]) → COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3)), java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1]), COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0), LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0) which results in the following constraint:

    (33)    (o903[1]=o903[2]o904[1]=o904[2]o905[1]=o905[2]&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3))=TRUEi376[1]=i376[2]i376[2]=i376[4]o903[2]=o925[4]o904[2]=o926[4]o905[2]=o927[4]0=i378[4]o903[2]=NULLLOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4])≥NonInfC∧LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥))



    We simplified constraint (33) using rules (III), (IDP_CONSTANT_FOLD), (DELETE_TRIVIAL_REDUCESTO), (IDP_BOOLEAN) which results in the following new constraint:

    (34)    (<(i376[1], 3)=TRUE>=(i376[1], 0)=TRUELOAD1493(java.lang.Object(ARRAY(3, DATA(NULL, o904[1], o905[1]))), i376[1], NULL, 0)≥NonInfC∧LOAD1493(java.lang.Object(ARRAY(3, DATA(NULL, o904[1], o905[1]))), i376[1], NULL, 0)≥LOAD1702(java.lang.Object(ARRAY(3, DATA(NULL, o904[1], o905[1]))), i376[1], 0, 0)∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥))



    We simplified constraint (34) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (35)    ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥)∧[(-1)bni_41 + (-1)Bound*bni_41] + [(-1)bni_41]i376[1] ≥ 0∧[(-1)bso_42] ≥ 0)



    We simplified constraint (35) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (36)    ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥)∧[(-1)bni_41 + (-1)Bound*bni_41] + [(-1)bni_41]i376[1] ≥ 0∧[(-1)bso_42] ≥ 0)



    We simplified constraint (36) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (37)    ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥)∧[(-1)bni_41 + (-1)Bound*bni_41] + [(-1)bni_41]i376[1] ≥ 0∧[(-1)bso_42] ≥ 0)



  • We consider the chain COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0), LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1)), LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0) which results in the following constraint:

    (38)    (i376[2]=i376[3]0=i378[3]o903[2]=java.lang.Object(List(i379[3], o933[3]))∧o903[2]=o925[3]o904[2]=o926[3]o905[2]=o927[3]+(i378[3], 1)=i378[4]o933[3]=NULLi376[3]=i376[4]o925[3]=o925[4]o926[3]=o926[4]o927[3]=o927[4]LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4])≥NonInfC∧LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥))



    We simplified constraint (38) using rules (III), (IDP_CONSTANT_FOLD) which results in the following new constraint:

    (39)    (LOAD1493(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i379[3], NULL)), o904[2], o905[2]))), i376[2], NULL, 1)≥NonInfC∧LOAD1493(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i379[3], NULL)), o904[2], o905[2]))), i376[2], NULL, 1)≥LOAD1702(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i379[3], NULL)), o904[2], o905[2]))), i376[2], 1, 0)∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥))



    We simplified constraint (39) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (40)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (40) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (41)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (41) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (42)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (42) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (43)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥)∧0 = 0∧[(-1)bso_42] ≥ 0)



  • We consider the chain LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1)), LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1)), LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0) which results in the following constraint:

    (44)    (i376[3]=i376[3]1o925[3]=o925[3]1o926[3]=o926[3]1o927[3]=o927[3]1+(i378[3], 1)=i378[3]1o933[3]=java.lang.Object(List(i379[3]1, o933[3]1))∧+(i378[3]1, 1)=i378[4]o933[3]1=NULLi376[3]1=i376[4]o925[3]1=o925[4]o926[3]1=o926[4]o927[3]1=o927[4]LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4])≥NonInfC∧LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥))



    We simplified constraint (44) using rule (III) which results in the following new constraint:

    (45)    (LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], NULL, +(+(i378[3], 1), 1))≥NonInfC∧LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], NULL, +(+(i378[3], 1), 1))≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], +(+(i378[3], 1), 1), 0)∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥))



    We simplified constraint (45) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (46)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (46) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (47)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (47) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (48)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (48) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (49)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥)∧0 = 0∧0 = 0∧[(-1)bso_42] ≥ 0)







For Pair RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, +(i386, 1)) the following chains were created:
  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]), RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)) which results in the following constraint:

    (50)    (i385[11]=i385[17]o956[11]=java.lang.Object(List(i409[17], NULL))∧o956[11]=o1096[17]o957[11]=o1097[17]o958[11]=o1098[17]i386[11]=i386[17]i376[11]=i376[17]i386[17]=i386[5]i385[17]=i385[5]i376[17]=i376[5]o1096[17]=o1096[5]o1097[17]=o1097[5]o1098[17]=o1098[5]RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (50) using rule (III) which results in the following new constraint:

    (51)    (RETURN1966(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], i386[11])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], i386[11])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], +(i386[11], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (51) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (52)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_44] ≥ 0)



    We simplified constraint (52) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (53)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_44] ≥ 0)



    We simplified constraint (53) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (54)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_44] ≥ 0)



    We simplified constraint (54) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (55)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_44] ≥ 0)



  • We consider the chain LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]), RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)) which results in the following constraint:

    (56)    (i386[12]=i386[17]o1096[12]=o1096[17]o1097[12]=o1097[17]o1098[12]=o1098[17]i411[12]=i409[17]o1161[12]=NULLi376[12]=i376[17]i385[12]=i385[17]i386[17]=i386[5]i385[17]=i385[5]i376[17]=i376[5]o1096[17]=o1096[5]o1097[17]=o1097[5]o1098[17]=o1098[5]RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (56) using rules (III), (IV) which results in the following new constraint:

    (57)    (RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], +(i386[12], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (57) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (58)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_44] ≥ 0)



    We simplified constraint (58) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (59)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_44] ≥ 0)



    We simplified constraint (59) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (60)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_44] ≥ 0)



    We simplified constraint (60) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (61)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_44] ≥ 0)



  • We consider the chain COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]), RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)) which results in the following constraint:

    (62)    (i411[14]=i409[17]o1161[14]=NULLi376[14]=i376[17]o1096[14]=o1096[17]o1097[14]=o1097[17]o1098[14]=o1098[17]i385[14]=i385[17]i386[14]=i386[17]i386[17]=i386[5]i385[17]=i385[5]i376[17]=i376[5]o1096[17]=o1096[5]o1097[17]=o1097[5]o1098[17]=o1098[5]RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (62) using rules (III), (IV) which results in the following new constraint:

    (63)    (RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], +(i386[14], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (63) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (64)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_44] ≥ 0)



    We simplified constraint (64) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (65)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_44] ≥ 0)



    We simplified constraint (65) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (66)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_44] ≥ 0)



    We simplified constraint (66) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (67)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_44] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, +(i386, 1)) the following chains were created:
  • We consider the chain LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]), COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)) which results in the following constraint:

    (68)    (o956[10]=o956[11]i376[10]=i376[11]o957[10]=o957[11]o958[10]=o958[11]i385[10]=i385[11]&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10]))=TRUEi386[10]=i386[11]i385[11]=i385[6]o956[11]=o1096[6]o957[11]=o1097[6]o958[11]=o1098[6]i386[11]=i386[6]o956[11]=NULLi376[11]=i376[6]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥))



    We simplified constraint (68) using rules (III), (IDP_CONSTANT_FOLD), (DELETE_TRIVIAL_REDUCESTO), (IDP_BOOLEAN) which results in the following new constraint:

    (69)    (<(i386[10], i385[10])=TRUE>=(i386[10], 0)=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(NULL, o957[10], o958[10]))), i376[10], i385[10], i386[10], NULL)≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(NULL, o957[10], o958[10]))), i376[10], i385[10], i386[10], NULL)≥LOAD1702(java.lang.Object(ARRAY(3, DATA(NULL, o957[10], o958[10]))), i376[10], i385[10], +(i386[10], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥))



    We simplified constraint (69) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (70)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)bni_45 + (-1)Bound*bni_45] + [(-1)bni_45]i376[10] ≥ 0∧[(-1)bso_46] ≥ 0)



    We simplified constraint (70) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (71)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)bni_45 + (-1)Bound*bni_45] + [(-1)bni_45]i376[10] ≥ 0∧[(-1)bso_46] ≥ 0)



    We simplified constraint (71) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (72)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)bni_45 + (-1)Bound*bni_45] + [(-1)bni_45]i376[10] ≥ 0∧[(-1)bso_46] ≥ 0)



    We simplified constraint (72) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (73)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)bni_45] = 0∧[(-1)bni_45 + (-1)Bound*bni_45] ≥ 0∧0 = 0∧[(-1)bso_46] ≥ 0)



    We simplified constraint (73) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (74)    (i385[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)bni_45] = 0∧[(-1)bni_45 + (-1)Bound*bni_45] ≥ 0∧0 = 0∧[(-1)bso_46] ≥ 0)



  • We consider the chain COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)) which results in the following constraint:

    (75)    (LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥))



    We simplified constraint (75) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (76)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)bso_46] ≥ 0)



    We simplified constraint (76) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (77)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)bso_46] ≥ 0)



    We simplified constraint (77) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (78)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)bso_46] ≥ 0)



    We simplified constraint (78) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (79)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_46] ≥ 0)



  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)) which results in the following constraint:

    (80)    (LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥))



    We simplified constraint (80) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (81)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)bso_46] ≥ 0)



    We simplified constraint (81) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (82)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)bso_46] ≥ 0)



    We simplified constraint (82) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (83)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)bso_46] ≥ 0)



    We simplified constraint (83) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (84)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_46] ≥ 0)







For Pair LOAD1702(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) → COND_LOAD1702(&&(&&(>=(i385, 0), >=(i386, i385)), >(+(i376, 1), 0)), java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) the following chains were created:
  • We consider the chain LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]) → COND_LOAD1702(&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0)), java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]), COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8]) → LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1)) which results in the following constraint:

    (85)    (o956[7]=o956[8]o957[7]=o957[8]o958[7]=o958[8]i385[7]=i385[8]i376[7]=i376[8]i386[7]=i386[8]&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0))=TRUELOAD1702(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])≥COND_LOAD1702(&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0)), java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])∧(UIncreasing(COND_LOAD1702(&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0)), java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])), ≥))



    We simplified constraint (85) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

    (86)    (>(+(i376[7], 1), 0)=TRUE>=(i385[7], 0)=TRUE>=(i386[7], i385[7])=TRUELOAD1702(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])≥COND_LOAD1702(&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0)), java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])∧(UIncreasing(COND_LOAD1702(&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0)), java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])), ≥))



    We simplified constraint (86) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (87)    (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[7] + [-1]i385[7] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702(&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0)), java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])), ≥)∧[(-1)bni_47 + (-1)Bound*bni_47] + [(-1)bni_47]i376[7] ≥ 0∧[(-1)bso_48] ≥ 0)



    We simplified constraint (87) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (88)    (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[7] + [-1]i385[7] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702(&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0)), java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])), ≥)∧[(-1)bni_47 + (-1)Bound*bni_47] + [(-1)bni_47]i376[7] ≥ 0∧[(-1)bso_48] ≥ 0)



    We simplified constraint (88) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (89)    (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[7] + [-1]i385[7] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702(&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0)), java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])), ≥)∧[(-1)bni_47 + (-1)Bound*bni_47] + [(-1)bni_47]i376[7] ≥ 0∧[(-1)bso_48] ≥ 0)



    We simplified constraint (89) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (90)    (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[7] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702(&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0)), java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])), ≥)∧[(-1)bni_47 + (-1)Bound*bni_47] + [(-1)bni_47]i376[7] ≥ 0∧[(-1)bso_48] ≥ 0)







For Pair COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) → LOAD1380(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), +(i376, 1)) the following chains were created:
  • We consider the chain LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]) → COND_LOAD1702(&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0)), java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]), COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8]) → LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1)) which results in the following constraint:

    (91)    (i378[4]=i385[7]o925[4]=o956[7]o926[4]=o957[7]o927[4]=o958[7]i376[4]=i376[7]0=i386[7]o956[7]=o956[8]o957[7]=o957[8]o958[7]=o958[8]i385[7]=i385[8]i376[7]=i376[8]i386[7]=i386[8]&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0))=TRUECOND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8])≥NonInfC∧COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8])≥LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))∧(UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥))



    We simplified constraint (91) using rules (III), (IDP_BOOLEAN) which results in the following new constraint:

    (92)    (>(+(i376[7], 1), 0)=TRUE>=(i385[7], 0)=TRUE>=(0, i385[7])=TRUECOND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[7], i385[7], 0)≥NonInfC∧COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[7], i385[7], 0)≥LOAD1380(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), +(i376[7], 1))∧(UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥))



    We simplified constraint (92) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (93)    (i376[7] ≥ 0∧i385[7] ≥ 0∧[-1]i385[7] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)



    We simplified constraint (93) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (94)    (i376[7] ≥ 0∧i385[7] ≥ 0∧[-1]i385[7] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)



    We simplified constraint (94) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (95)    (i376[7] ≥ 0∧i385[7] ≥ 0∧[-1]i385[7] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)



    We simplified constraint (95) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (96)    (i376[7] ≥ 0∧0 ≥ 0∧0 ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)



  • We consider the chain RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]) → COND_LOAD1702(&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0)), java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]), COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8]) → LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1)) which results in the following constraint:

    (97)    (+(i386[5], 1)=i386[7]i385[5]=i385[7]i376[5]=i376[7]o1096[5]=o956[7]o1097[5]=o957[7]o1098[5]=o958[7]o956[7]=o956[8]o957[7]=o957[8]o958[7]=o958[8]i385[7]=i385[8]i376[7]=i376[8]i386[7]=i386[8]&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0))=TRUECOND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8])≥NonInfC∧COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8])≥LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))∧(UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥))



    We simplified constraint (97) using rules (III), (IDP_BOOLEAN) which results in the following new constraint:

    (98)    (>(+(i376[7], 1), 0)=TRUE>=(i385[7], 0)=TRUE>=(+(i386[5], 1), i385[7])=TRUECOND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[7], i385[7], +(i386[5], 1))≥NonInfC∧COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[7], i385[7], +(i386[5], 1))≥LOAD1380(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), +(i376[7], 1))∧(UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥))



    We simplified constraint (98) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (99)    (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[5] + [1] + [-1]i385[7] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)



    We simplified constraint (99) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (100)    (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[5] + [1] + [-1]i385[7] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)



    We simplified constraint (100) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (101)    (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[5] + [1] + [-1]i385[7] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)



    We simplified constraint (101) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (102)    (i376[7] ≥ 0∧i385[7] ≥ 0∧[-1]i386[5] + [1] + [-1]i385[7] ≥ 0∧i386[5] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)


    (103)    (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[5] + [1] + [-1]i385[7] ≥ 0∧i386[5] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)



  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]) → COND_LOAD1702(&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0)), java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]), COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8]) → LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1)) which results in the following constraint:

    (104)    (i385[6]=i385[7]o1096[6]=o956[7]o1097[6]=o957[7]o1098[6]=o958[7]+(i386[6], 1)=i386[7]i376[6]=i376[7]o956[7]=o956[8]o957[7]=o957[8]o958[7]=o958[8]i385[7]=i385[8]i376[7]=i376[8]i386[7]=i386[8]&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0))=TRUECOND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8])≥NonInfC∧COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8])≥LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))∧(UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥))



    We simplified constraint (104) using rules (III), (IDP_BOOLEAN) which results in the following new constraint:

    (105)    (>(+(i376[7], 1), 0)=TRUE>=(i385[7], 0)=TRUE>=(+(i386[6], 1), i385[7])=TRUECOND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[7], i385[7], +(i386[6], 1))≥NonInfC∧COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[7], i385[7], +(i386[6], 1))≥LOAD1380(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), +(i376[7], 1))∧(UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥))



    We simplified constraint (105) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (106)    (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[6] + [1] + [-1]i385[7] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)



    We simplified constraint (106) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (107)    (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[6] + [1] + [-1]i385[7] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)



    We simplified constraint (107) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (108)    (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[6] + [1] + [-1]i385[7] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)



    We simplified constraint (108) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (109)    (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[6] + [1] + [-1]i385[7] ≥ 0∧i386[6] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)


    (110)    (i376[7] ≥ 0∧i385[7] ≥ 0∧[-1]i386[6] + [1] + [-1]i385[7] ≥ 0∧i386[6] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)







For Pair LOAD1702(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956) the following chains were created:
  • We consider the chain COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0), LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (111)    (i376[2]=i376[4]o903[2]=o925[4]o904[2]=o926[4]o905[2]=o927[4]0=i378[4]o903[2]=NULLo925[4]=o956[9]o926[4]=o957[9]o927[4]=o958[9]i378[4]=i385[9]i376[4]=i376[9]0=i386[9]LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (111) using rule (III) which results in the following new constraint:

    (112)    (LOAD1702(java.lang.Object(ARRAY(3, DATA(NULL, o904[2], o905[2]))), i376[2], 0, 0)≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(NULL, o904[2], o905[2]))), i376[2], 0, 0)≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(NULL, o904[2], o905[2]))), i376[2], 0, 0, NULL)∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (112) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (113)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (113) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (114)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (114) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (115)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (115) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (116)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧[(-1)bso_52] ≥ 0)



  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]), RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (117)    (i386[17]=i386[5]i385[17]=i385[5]i376[17]=i376[5]o1096[17]=o1096[5]o1097[17]=o1097[5]o1098[17]=o1098[5]i385[5]=i385[9]o1096[5]=o956[9]o1097[5]=o957[9]o1098[5]=o958[9]+(i386[5], 1)=i386[9]i376[5]=i376[9]LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (117) using rule (III) which results in the following new constraint:

    (118)    (LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], +(i386[5], 1))≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], +(i386[5], 1))≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], +(i386[5], 1), o1096[17])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (118) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (119)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (119) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (120)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (120) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (121)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (121) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (122)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)



  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (123)    (i385[11]=i385[6]o956[11]=o1096[6]o957[11]=o1097[6]o958[11]=o1098[6]i386[11]=i386[6]o956[11]=NULLi376[11]=i376[6]i385[6]=i385[9]+(i386[6], 1)=i386[9]o1096[6]=o956[9]o1097[6]=o957[9]o1098[6]=o958[9]i376[6]=i376[9]LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (123) using rule (III) which results in the following new constraint:

    (124)    (LOAD1702(java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], +(i386[6], 1))≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], +(i386[6], 1))≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], +(i386[6], 1), NULL)∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (124) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (125)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (125) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (126)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (126) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (127)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (127) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (128)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)



  • We consider the chain LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1)), LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (129)    (+(i378[3], 1)=i378[4]o933[3]=NULLi376[3]=i376[4]o925[3]=o925[4]o926[3]=o926[4]o927[3]=o927[4]o925[4]=o956[9]o926[4]=o957[9]o927[4]=o958[9]i378[4]=i385[9]i376[4]=i376[9]0=i386[9]LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (129) using rule (III) which results in the following new constraint:

    (130)    (LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], +(i378[3], 1), 0)≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], +(i378[3], 1), 0)≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], +(i378[3], 1), 0, o925[3])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (130) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (131)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (131) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (132)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (132) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (133)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (133) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (134)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)



  • We consider the chain LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (135)    (LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (135) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (136)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (136) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (137)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (137) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (138)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (138) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (139)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)



  • We consider the chain COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (140)    (LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (140) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (141)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (141) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (142)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (142) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (143)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_52] ≥ 0)



    We simplified constraint (143) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (144)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)







For Pair LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386, 0)), <(i386, i385)), java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956) the following chains were created:
  • We consider the chain LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]), COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) which results in the following constraint:

    (145)    (o956[10]=o956[11]i376[10]=i376[11]o957[10]=o957[11]o958[10]=o958[11]i385[10]=i385[11]&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10]))=TRUEi386[10]=i386[11]LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])≥NonInfC∧LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])≥COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])∧(UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥))



    We simplified constraint (145) using rules (IV), (IDP_CONSTANT_FOLD), (DELETE_TRIVIAL_REDUCESTO), (IDP_BOOLEAN) which results in the following new constraint:

    (146)    (<(i386[10], i385[10])=TRUE>=(i386[10], 0)=TRUELOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])≥NonInfC∧LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])≥COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])∧(UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥))



    We simplified constraint (146) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (147)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)bni_53 + (-1)Bound*bni_53] + [(-1)bni_53]i376[10] ≥ 0∧[(-1)bso_54] ≥ 0)



    We simplified constraint (147) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (148)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)bni_53 + (-1)Bound*bni_53] + [(-1)bni_53]i376[10] ≥ 0∧[(-1)bso_54] ≥ 0)



    We simplified constraint (148) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (149)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)bni_53 + (-1)Bound*bni_53] + [(-1)bni_53]i376[10] ≥ 0∧[(-1)bso_54] ≥ 0)



    We simplified constraint (149) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (150)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)bni_53] = 0∧[(-1)bni_53 + (-1)Bound*bni_53] ≥ 0∧0 = 0∧[(-1)bso_54] ≥ 0)



    We simplified constraint (150) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (151)    (i385[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)bni_53] = 0∧[(-1)bni_53 + (-1)Bound*bni_53] ≥ 0∧0 = 0∧[(-1)bso_54] ≥ 0)







For Pair COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956) the following chains were created:
  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)) which results in the following constraint:

    (152)    (i385[11]=i385[6]o956[11]=o1096[6]o957[11]=o1097[6]o958[11]=o1098[6]i386[11]=i386[6]o956[11]=NULLi376[11]=i376[6]COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (152) using rules (III), (IV) which results in the following new constraint:

    (153)    (COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], i386[11], NULL)≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], i386[11], NULL)≥LOAD1948(java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], i386[11], NULL)∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (153) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (154)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_56] ≥ 0)



    We simplified constraint (154) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (155)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_56] ≥ 0)



    We simplified constraint (155) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (156)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_56] ≥ 0)



    We simplified constraint (156) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (157)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_56] ≥ 0)



  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) which results in the following constraint:

    (158)    (o956[11]=java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))∧i376[11]=i376[13]o956[11]=o1096[13]o957[11]=o1097[13]o958[11]=o1098[13]i386[11]=i386[13]i385[11]=i385[13]COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (158) using rules (III), (IV) which results in the following new constraint:

    (159)    (COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (159) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (160)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_56] ≥ 0)



    We simplified constraint (160) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (161)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_56] ≥ 0)



    We simplified constraint (161) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (162)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_56] ≥ 0)



    We simplified constraint (162) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (163)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_56] ≥ 0)



  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) which results in the following constraint:

    (164)    (i376[11]=i376[15]i386[11]=i386[15]o956[11]=java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))∧o956[11]=o1096[15]o957[11]=o1097[15]o958[11]=o1098[15]i385[11]=i385[15]COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (164) using rules (III), (IV) which results in the following new constraint:

    (165)    (COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (165) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (166)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_56] ≥ 0)



    We simplified constraint (166) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (167)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_56] ≥ 0)



    We simplified constraint (167) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (168)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_56] ≥ 0)



    We simplified constraint (168) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (169)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_56] ≥ 0)



  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]) which results in the following constraint:

    (170)    (i385[11]=i385[17]o956[11]=java.lang.Object(List(i409[17], NULL))∧o956[11]=o1096[17]o957[11]=o1097[17]o958[11]=o1098[17]i386[11]=i386[17]i376[11]=i376[17]COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (170) using rules (III), (IV) which results in the following new constraint:

    (171)    (COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[17], NULL)))≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[17], NULL)))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[17], NULL)))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (171) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (172)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_56] ≥ 0)



    We simplified constraint (172) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (173)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_56] ≥ 0)



    We simplified constraint (173) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (174)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_56] ≥ 0)



    We simplified constraint (174) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (175)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_56] ≥ 0)







For Pair LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i411, o1161))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) which results in the following constraint:

    (176)    (>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (176) using rule (III) which results in the following new constraint:

    (177)    (>(i409[15], i411[15])=TRUELOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], o1161[15])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (177) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (178)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[(-1)bni_57 + (-1)Bound*bni_57] + [(-1)bni_57]i376[15] ≥ 0∧[(-1)bso_58] ≥ 0)



    We simplified constraint (178) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (179)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[(-1)bni_57 + (-1)Bound*bni_57] + [(-1)bni_57]i376[15] ≥ 0∧[(-1)bso_58] ≥ 0)



    We simplified constraint (179) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (180)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[(-1)bni_57 + (-1)Bound*bni_57] + [(-1)bni_57]i376[15] ≥ 0∧[(-1)bso_58] ≥ 0)



    We simplified constraint (180) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (181)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_57] = 0∧[(-1)bni_57 + (-1)Bound*bni_57] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_58] ≥ 0)



    We simplified constraint (181) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (182)    (i409[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_57] = 0∧[(-1)bni_57 + (-1)Bound*bni_57] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_58] ≥ 0)



    We simplified constraint (182) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (183)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_57] = 0∧[(-1)bni_57 + (-1)Bound*bni_57] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_58] ≥ 0)


    (184)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_57] = 0∧[(-1)bni_57 + (-1)Bound*bni_57] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_58] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → COND_LOAD1948(<=(i409, i411), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (185)    (i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥))



    We simplified constraint (185) using rule (IV) which results in the following new constraint:

    (186)    (<=(i409[13], i411[13])=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥))



    We simplified constraint (186) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (187)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]i376[13] ≥ 0∧[(-1)bso_60] ≥ 0)



    We simplified constraint (187) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (188)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]i376[13] ≥ 0∧[(-1)bso_60] ≥ 0)



    We simplified constraint (188) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (189)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(-1)bni_59 + (-1)Bound*bni_59] + [(-1)bni_59]i376[13] ≥ 0∧[(-1)bso_60] ≥ 0)



    We simplified constraint (189) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (190)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_59] = 0∧[(-1)bni_59 + (-1)Bound*bni_59] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_60] ≥ 0)



    We simplified constraint (190) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (191)    (i411[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_59] = 0∧[(-1)bni_59 + (-1)Bound*bni_59] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_60] ≥ 0)



    We simplified constraint (191) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (192)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_59] = 0∧[(-1)bni_59 + (-1)Bound*bni_59] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_60] ≥ 0)


    (193)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_59] = 0∧[(-1)bni_59 + (-1)Bound*bni_59] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_60] ≥ 0)







For Pair COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i411, o1161))) the following chains were created:
  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (194)    (o956[11]=java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))∧i376[11]=i376[13]o956[11]=o1096[13]o957[11]=o1097[13]o958[11]=o1098[13]i386[11]=i386[13]i385[11]=i385[13]i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (194) using rule (III) which results in the following new constraint:

    (195)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i411[13], o1161[13])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (195) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (196)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]i376[11] ≥ 0∧[(-1)bso_62] ≥ 0)



    We simplified constraint (196) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (197)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]i376[11] ≥ 0∧[(-1)bso_62] ≥ 0)



    We simplified constraint (197) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (198)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]i376[11] ≥ 0∧[(-1)bso_62] ≥ 0)



    We simplified constraint (198) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (199)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)



    We simplified constraint (199) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (200)    (i411[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)



    We simplified constraint (200) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (201)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)


    (202)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)



  • We consider the chain LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (203)    (i411[12]=i409[13]o1161[12]=java.lang.Object(List(i411[13], o1161[13]))∧i386[12]=i386[13]i385[12]=i385[13]o1096[12]=o1096[13]o1097[12]=o1097[13]o1098[12]=o1098[13]i376[12]=i376[13]i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (203) using rule (III) which results in the following new constraint:

    (204)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[13], o1161[13])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (204) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (205)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]i376[12] ≥ 0∧[(-1)bso_62] ≥ 0)



    We simplified constraint (205) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (206)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]i376[12] ≥ 0∧[(-1)bso_62] ≥ 0)



    We simplified constraint (206) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (207)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]i376[12] ≥ 0∧[(-1)bso_62] ≥ 0)



    We simplified constraint (207) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (208)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)



    We simplified constraint (208) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (209)    (i411[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)



    We simplified constraint (209) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (210)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)


    (211)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)



  • We consider the chain COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (212)    (i376[14]=i376[13]o1096[14]=o1096[13]o1097[14]=o1097[13]o1098[14]=o1098[13]i386[14]=i386[13]i411[14]=i409[13]o1161[14]=java.lang.Object(List(i411[13], o1161[13]))∧i385[14]=i385[13]i376[13]=i376[14]1o1096[13]=o1096[14]1o1097[13]=o1097[14]1o1098[13]=o1098[14]1i409[13]=i409[14]1i411[13]=i411[14]1o1161[13]=o1161[14]1i386[13]=i386[14]1<=(i409[13], i411[13])=TRUEi385[13]=i385[14]1COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i409[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i409[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥))



    We simplified constraint (212) using rule (III) which results in the following new constraint:

    (213)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[13], o1161[13])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥))



    We simplified constraint (213) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (214)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]i376[14] ≥ 0∧[(-1)bso_62] ≥ 0)



    We simplified constraint (214) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (215)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]i376[14] ≥ 0∧[(-1)bso_62] ≥ 0)



    We simplified constraint (215) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (216)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧[(-1)bni_61 + (-1)Bound*bni_61] + [(-1)bni_61]i376[14] ≥ 0∧[(-1)bso_62] ≥ 0)



    We simplified constraint (216) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (217)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)



    We simplified constraint (217) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (218)    (i411[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)



    We simplified constraint (218) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (219)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)


    (220)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → COND_LOAD19481(>(i409, i411), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) which results in the following constraint:

    (221)    (>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥))



    We simplified constraint (221) using rule (IV) which results in the following new constraint:

    (222)    (>(i409[15], i411[15])=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥))



    We simplified constraint (222) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (223)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(-1)bni_63 + (-1)Bound*bni_63] + [(-1)bni_63]i376[15] ≥ 0∧[(-1)bso_64] ≥ 0)



    We simplified constraint (223) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (224)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(-1)bni_63 + (-1)Bound*bni_63] + [(-1)bni_63]i376[15] ≥ 0∧[(-1)bso_64] ≥ 0)



    We simplified constraint (224) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (225)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(-1)bni_63 + (-1)Bound*bni_63] + [(-1)bni_63]i376[15] ≥ 0∧[(-1)bso_64] ≥ 0)



    We simplified constraint (225) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (226)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_63] = 0∧[(-1)bni_63 + (-1)Bound*bni_63] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)



    We simplified constraint (226) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (227)    (i409[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_63] = 0∧[(-1)bni_63 + (-1)Bound*bni_63] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)



    We simplified constraint (227) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (228)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_63] = 0∧[(-1)bni_63 + (-1)Bound*bni_63] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)


    (229)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_63] = 0∧[(-1)bni_63 + (-1)Bound*bni_63] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)







For Pair COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i411, java.lang.Object(List(i409, o1161))))) the following chains were created:
  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) which results in the following constraint:

    (230)    (i376[11]=i376[15]i386[11]=i386[15]o956[11]=java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))∧o956[11]=o1096[15]o957[11]=o1097[15]o958[11]=o1098[15]i385[11]=i385[15]>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (230) using rule (III) which results in the following new constraint:

    (231)    (>(i409[15], i411[15])=TRUECOND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (231) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (232)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_65 + (-1)Bound*bni_65] + [(-1)bni_65]i376[11] ≥ 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (232) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (233)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_65 + (-1)Bound*bni_65] + [(-1)bni_65]i376[11] ≥ 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (233) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (234)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_65 + (-1)Bound*bni_65] + [(-1)bni_65]i376[11] ≥ 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (234) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (235)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (235) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (236)    (i409[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (236) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (237)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)


    (238)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)



  • We consider the chain LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) which results in the following constraint:

    (239)    (i376[12]=i376[15]i411[12]=i409[15]o1161[12]=java.lang.Object(List(i411[15], o1161[15]))∧i386[12]=i386[15]i385[12]=i385[15]o1096[12]=o1096[15]o1097[12]=o1097[15]o1098[12]=o1098[15]>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (239) using rule (III) which results in the following new constraint:

    (240)    (>(i409[15], i411[15])=TRUECOND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (240) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (241)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_65 + (-1)Bound*bni_65] + [(-1)bni_65]i376[12] ≥ 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (241) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (242)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_65 + (-1)Bound*bni_65] + [(-1)bni_65]i376[12] ≥ 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (242) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (243)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_65 + (-1)Bound*bni_65] + [(-1)bni_65]i376[12] ≥ 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (243) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (244)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (244) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (245)    (i409[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (245) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (246)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)


    (247)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)



  • We consider the chain COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) which results in the following constraint:

    (248)    (o1096[14]=o1096[15]o1097[14]=o1097[15]o1098[14]=o1098[15]i386[14]=i386[15]i385[14]=i385[15]i411[14]=i409[15]o1161[14]=java.lang.Object(List(i411[15], o1161[15]))∧i376[14]=i376[15]>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (248) using rule (III) which results in the following new constraint:

    (249)    (>(i409[15], i411[15])=TRUECOND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (249) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (250)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_65 + (-1)Bound*bni_65] + [(-1)bni_65]i376[14] ≥ 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (250) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (251)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_65 + (-1)Bound*bni_65] + [(-1)bni_65]i376[14] ≥ 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (251) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (252)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_65 + (-1)Bound*bni_65] + [(-1)bni_65]i376[14] ≥ 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (252) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (253)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (253) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (254)    (i409[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)



    We simplified constraint (254) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (255)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)


    (256)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]), RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)) which results in the following constraint:

    (257)    (i386[17]=i386[5]i385[17]=i385[5]i376[17]=i376[5]o1096[17]=o1096[5]o1097[17]=o1097[5]o1098[17]=o1098[5]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL)))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL)))≥RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])∧(UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥))



    We simplified constraint (257) using rule (IV) which results in the following new constraint:

    (258)    (LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL)))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL)))≥RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])∧(UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥))



    We simplified constraint (258) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (259)    ((UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥)∧[(-1)bso_68] ≥ 0)



    We simplified constraint (259) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (260)    ((UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥)∧[(-1)bso_68] ≥ 0)



    We simplified constraint (260) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (261)    ((UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥)∧[(-1)bso_68] ≥ 0)



    We simplified constraint (261) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (262)    ((UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_68] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • LOAD1380(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376) → LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903)
    • (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[7] + [-1]i385[7] ≥ 0 ⇒ (UIncreasing(LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0], o903[0])), ≥)∧[(-1)bni_33 + (-1)Bound*bni_33] + [(-1)bni_33]i376[7] ≥ 0∧[1 + (-1)bso_34] ≥ 0)

  • LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903) → COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376, 0)), <(i376, 3)), java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903)
    • ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3)), java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])), ≥)∧[(-1)bni_35 + (-1)Bound*bni_35] + [(-1)bni_35]i376[1] ≥ 0∧[(-1)bso_36] ≥ 0)

  • COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o903, o904, o905))), i376, o903, 0)
    • ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0)), ≥)∧[(-1)bni_37 + (-1)Bound*bni_37] + [(-1)bni_37]i376[1] ≥ 0∧[(-1)bso_38] ≥ 0)

  • LOAD1493(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, java.lang.Object(List(i379, o933)), i378) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, o933, +(i378, 1))
    • ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1))), ≥)∧[(-1)bni_39 + (-1)Bound*bni_39] + [(-1)bni_39]i376[1] ≥ 0∧[(-1)bso_40] ≥ 0)
    • ((UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]1, o926[3]1, o927[3]1))), i376[3]1, o933[3]1, +(i378[3]1, 1))), ≥)∧0 = 0∧[(-1)bso_40] ≥ 0)
    • ((UIncreasing(LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3]2, o926[3]2, o927[3]2))), i376[3]2, o933[3]2, +(i378[3]2, 1))), ≥)∧0 = 0∧0 = 0∧[(-1)bso_40] ≥ 0)

  • LOAD1493(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, NULL, i378) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o925, o926, o927))), i376, i378, 0)
    • ([2] + [-1]i376[1] ≥ 0∧i376[1] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥)∧[(-1)bni_41 + (-1)Bound*bni_41] + [(-1)bni_41]i376[1] ≥ 0∧[(-1)bso_42] ≥ 0)
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥)∧0 = 0∧[(-1)bso_42] ≥ 0)
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)), ≥)∧0 = 0∧0 = 0∧[(-1)bso_42] ≥ 0)

  • RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, +(i386, 1))
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_44] ≥ 0)
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_44] ≥ 0)
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_44] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, +(i386, 1))
    • (i385[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)bni_45] = 0∧[(-1)bni_45 + (-1)Bound*bni_45] ≥ 0∧0 = 0∧[(-1)bso_46] ≥ 0)
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_46] ≥ 0)
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_46] ≥ 0)

  • LOAD1702(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) → COND_LOAD1702(&&(&&(>=(i385, 0), >=(i386, i385)), >(+(i376, 1), 0)), java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386)
    • (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[7] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702(&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0)), java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])), ≥)∧[(-1)bni_47 + (-1)Bound*bni_47] + [(-1)bni_47]i376[7] ≥ 0∧[(-1)bso_48] ≥ 0)

  • COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) → LOAD1380(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), +(i376, 1))
    • (i376[7] ≥ 0∧0 ≥ 0∧0 ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)
    • (i376[7] ≥ 0∧i385[7] ≥ 0∧[-1]i386[5] + [1] + [-1]i385[7] ≥ 0∧i386[5] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)
    • (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[5] + [1] + [-1]i385[7] ≥ 0∧i386[5] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)
    • (i376[7] ≥ 0∧i385[7] ≥ 0∧i386[6] + [1] + [-1]i385[7] ≥ 0∧i386[6] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)
    • (i376[7] ≥ 0∧i385[7] ≥ 0∧[-1]i386[6] + [1] + [-1]i385[7] ≥ 0∧i386[6] ≥ 0 ⇒ (UIncreasing(LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))), ≥)∧[(-1)bni_49 + (-1)Bound*bni_49] + [(-1)bni_49]i376[7] ≥ 0∧[(-1)bso_50] ≥ 0)

  • LOAD1702(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956)
    • ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧[(-1)bso_52] ≥ 0)
    • ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)
    • ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)
    • ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)
    • ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)
    • ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_52] ≥ 0)

  • LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386, 0)), <(i386, i385)), java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956)
    • (i385[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)bni_53] = 0∧[(-1)bni_53 + (-1)Bound*bni_53] ≥ 0∧0 = 0∧[(-1)bso_54] ≥ 0)

  • COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956, o957, o958))), i376, i385, i386, o956)
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_56] ≥ 0)
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_56] ≥ 0)
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_56] ≥ 0)
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_56] ≥ 0)

  • LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i411, o1161)))
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_57] = 0∧[(-1)bni_57 + (-1)Bound*bni_57] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_58] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_57] = 0∧[(-1)bni_57 + (-1)Bound*bni_57] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_58] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → COND_LOAD1948(<=(i409, i411), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161)))))
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_59] = 0∧[(-1)bni_59 + (-1)Bound*bni_59] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_60] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_59] = 0∧[(-1)bni_59 + (-1)Bound*bni_59] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_60] ≥ 0)

  • COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i411, o1161)))
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_61] = 0∧[(-1)bni_61 + (-1)Bound*bni_61] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_62] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → COND_LOAD19481(>(i409, i411), java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161)))))
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_63] = 0∧[(-1)bni_63 + (-1)Bound*bni_63] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_63] = 0∧[(-1)bni_63 + (-1)Bound*bni_63] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_64] ≥ 0)

  • COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, java.lang.Object(List(i411, o1161))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i411, java.lang.Object(List(i409, o1161)))))
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_65] = 0∧[(-1)bni_65 + (-1)Bound*bni_65] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_66] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386, java.lang.Object(List(i409, NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096, o1097, o1098))), i376, i385, i386)
    • ((UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_68] ≥ 0)




The constraints for P> respective Pbound are constructed from P where we just replace every occurence of "t ≥ s" in P by "t > s" respective "t ≥ c". Here c stands for the fresh constant used for Pbound.
Using the following integer polynomial ordering the resulting constraints can be solved
Polynomial interpretation over integers[POLO]:

POL(TRUE) = 0   
POL(FALSE) = 0   
POL(LOAD1380(x1, x2)) = [-1]x2   
POL(java.lang.Object(x1)) = x1   
POL(ARRAY(x1, x2)) = [-1]   
POL(3) = [3]   
POL(DATA(x1, x2, x3)) = [-1]   
POL(LOAD1380ARR1(x1, x2, x3)) = [-1] + [-1]x2   
POL(COND_LOAD1380ARR1(x1, x2, x3, x4)) = [-1] + [-1]x3   
POL(&&(x1, x2)) = [-1]   
POL(>=(x1, x2)) = [-1]   
POL(0) = 0   
POL(<(x1, x2)) = [-1]   
POL(LOAD1493(x1, x2, x3, x4)) = [-1] + [-1]x2   
POL(List(x1, x2)) = [-1] + [-1]x2 + [-1]x1   
POL(+(x1, x2)) = x1 + x2   
POL(1) = [1]   
POL(NULL) = [-1]   
POL(LOAD1702(x1, x2, x3, x4)) = [-1] + [-1]x2   
POL(RETURN1966(x1, x2, x3, x4)) = [-1] + [-1]x2   
POL(LOAD1948(x1, x2, x3, x4, x5)) = [-1] + [-1]x2   
POL(COND_LOAD1702(x1, x2, x3, x4, x5)) = [-1] + [-1]x3   
POL(>(x1, x2)) = [-1]   
POL(LOAD1702ARR2(x1, x2, x3, x4, x5)) = [-1] + [-1]x2   
POL(COND_LOAD1702ARR2(x1, x2, x3, x4, x5, x6)) = [-1] + [-1]x3   
POL(LOAD2114(x1, x2, x3, x4, x5)) = [-1] + [-1]x2   
POL(COND_LOAD1948(x1, x2, x3, x4, x5, x6)) = [-1] + [-1]x3   
POL(<=(x1, x2)) = [-1]   
POL(COND_LOAD19481(x1, x2, x3, x4, x5, x6)) = [-1] + [-1]x3   

The following pairs are in P>:

LOAD1380(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0]) → LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0], o903[0])

The following pairs are in Pbound:

LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1]) → COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3)), java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])
COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0)

The following pairs are in P:

LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1]) → COND_LOAD1380ARR1(&&(&&(>=(0, 0), >=(i376[1], 0)), <(i376[1], 3)), java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])
COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0)
LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], +(i378[3], 1))
LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)
RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))
LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]) → COND_LOAD1702(&&(&&(>=(i385[7], 0), >=(i386[7], i385[7])), >(+(i376[7], 1), 0)), java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])
COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8]) → LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), +(i376[8], 1))
LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])
LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])
COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])

There are no usable rules.

(15) Complex Obligation (AND)

(16) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Boolean, Integer


R is empty.

The integer pair graph contains the following rules and edges:
(1): LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1]) → COND_LOAD1380ARR1(0 >= 0 && i376[1] >= 0 && i376[1] < 3, java.lang.Object(ARRAY(3, DATA(o903[1], o904[1], o905[1]))), i376[1], o903[1])
(2): COND_LOAD1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o903[2], o904[2], o905[2]))), i376[2], o903[2], 0)
(3): LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], i378[3] + 1)
(4): LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)
(5): RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5] + 1)
(6): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6] + 1)
(7): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]) → COND_LOAD1702(i385[7] >= 0 && i386[7] >= i385[7] && i376[7] + 1 > 0, java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])
(8): COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8]) → LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8] + 1)
(9): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])
(10): LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10], java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])
(11): COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
(14): COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(17): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])

(1) -> (2), if (((o903[1]* o903[2])∧(o904[1]* o904[2])∧(o905[1]* o905[2]))∧(0 >= 0 && i376[1] >= 0 && i376[1] < 3* TRUE)∧(o903[1]* o903[2])∧(i376[1]* i376[2]))


(2) -> (3), if ((i376[2]* i376[3])∧(0* i378[3])∧(o903[2]* java.lang.Object(List(i379[3], o933[3])))∧((o903[2]* o925[3])∧(o904[2]* o926[3])∧(o905[2]* o927[3])))


(3) -> (3), if ((i376[3]* i376[3]')∧((o925[3]* o925[3]')∧(o926[3]* o926[3]')∧(o927[3]* o927[3]'))∧(i378[3] + 1* i378[3]')∧(o933[3]* java.lang.Object(List(i379[3]', o933[3]'))))


(2) -> (4), if ((i376[2]* i376[4])∧((o903[2]* o925[4])∧(o904[2]* o926[4])∧(o905[2]* o927[4]))∧(0* i378[4])∧(o903[2]* NULL))


(3) -> (4), if ((i378[3] + 1* i378[4])∧(o933[3]* NULL)∧(i376[3]* i376[4])∧((o925[3]* o925[4])∧(o926[3]* o926[4])∧(o927[3]* o927[4])))


(17) -> (5), if ((i386[17]* i386[5])∧(i385[17]* i385[5])∧(i376[17]* i376[5])∧((o1096[17]* o1096[5])∧(o1097[17]* o1097[5])∧(o1098[17]* o1098[5])))


(11) -> (6), if ((i385[11]* i385[6])∧((o956[11]* o1096[6])∧(o957[11]* o1097[6])∧(o958[11]* o1098[6]))∧(i386[11]* i386[6])∧(o956[11]* NULL)∧(i376[11]* i376[6]))


(12) -> (6), if ((i376[12]* i376[6])∧(i385[12]* i385[6])∧false∧((o1096[12]* o1096[6])∧(o1097[12]* o1097[6])∧(o1098[12]* o1098[6]))∧(i386[12]* i386[6]))


(14) -> (6), if (false∧(i376[14]* i376[6])∧(i385[14]* i385[6])∧((o1096[14]* o1096[6])∧(o1097[14]* o1097[6])∧(o1098[14]* o1098[6]))∧(i386[14]* i386[6]))


(4) -> (7), if ((i378[4]* i385[7])∧((o925[4]* o956[7])∧(o926[4]* o957[7])∧(o927[4]* o958[7]))∧(i376[4]* i376[7])∧(0* i386[7]))


(5) -> (7), if ((i386[5] + 1* i386[7])∧(i385[5]* i385[7])∧(i376[5]* i376[7])∧((o1096[5]* o956[7])∧(o1097[5]* o957[7])∧(o1098[5]* o958[7])))


(6) -> (7), if ((i385[6]* i385[7])∧((o1096[6]* o956[7])∧(o1097[6]* o957[7])∧(o1098[6]* o958[7]))∧(i386[6] + 1* i386[7])∧(i376[6]* i376[7]))


(7) -> (8), if (((o956[7]* o956[8])∧(o957[7]* o957[8])∧(o958[7]* o958[8]))∧(i385[7]* i385[8])∧(i376[7]* i376[8])∧(i386[7]* i386[8])∧(i385[7] >= 0 && i386[7] >= i385[7] && i376[7] + 1 > 0* TRUE))


(4) -> (9), if (((o925[4]* o956[9])∧(o926[4]* o957[9])∧(o927[4]* o958[9]))∧(i378[4]* i385[9])∧(i376[4]* i376[9])∧(0* i386[9]))


(5) -> (9), if ((i385[5]* i385[9])∧((o1096[5]* o956[9])∧(o1097[5]* o957[9])∧(o1098[5]* o958[9]))∧(i386[5] + 1* i386[9])∧(i376[5]* i376[9]))


(6) -> (9), if ((i385[6]* i385[9])∧(i386[6] + 1* i386[9])∧((o1096[6]* o956[9])∧(o1097[6]* o957[9])∧(o1098[6]* o958[9]))∧(i376[6]* i376[9]))


(9) -> (10), if ((o956[9]* o956[10])∧((o956[9]* o956[10])∧(o957[9]* o957[10])∧(o958[9]* o958[10]))∧(i376[9]* i376[10])∧(i385[9]* i385[10])∧(i386[9]* i386[10]))


(10) -> (11), if ((o956[10]* o956[11])∧(i376[10]* i376[11])∧((o956[10]* o956[11])∧(o957[10]* o957[11])∧(o958[10]* o958[11]))∧(i385[10]* i385[11])∧(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10]* TRUE)∧(i386[10]* i386[11]))


(16) -> (12), if ((i386[16]* i386[12])∧(i385[16]* i385[12])∧((o1096[16]* o1096[12])∧(o1097[16]* o1097[12])∧(o1098[16]* o1098[12]))∧((i411[16]* i409[12])∧(i409[16]* i411[12])∧(o1161[16]* o1161[12]))∧(i376[16]* i376[12]))


(11) -> (13), if ((o956[11]* java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(i376[11]* i376[13])∧((o956[11]* o1096[13])∧(o957[11]* o1097[13])∧(o958[11]* o1098[13]))∧(i386[11]* i386[13])∧(i385[11]* i385[13]))


(12) -> (13), if (((i411[12]* i409[13])∧(o1161[12]* java.lang.Object(List(i411[13], o1161[13]))))∧(i386[12]* i386[13])∧(i385[12]* i385[13])∧((o1096[12]* o1096[13])∧(o1097[12]* o1097[13])∧(o1098[12]* o1098[13]))∧(i376[12]* i376[13]))


(14) -> (13), if ((i376[14]* i376[13])∧((o1096[14]* o1096[13])∧(o1097[14]* o1097[13])∧(o1098[14]* o1098[13]))∧(i386[14]* i386[13])∧((i411[14]* i409[13])∧(o1161[14]* java.lang.Object(List(i411[13], o1161[13]))))∧(i385[14]* i385[13]))


(13) -> (14), if ((i376[13]* i376[14])∧((o1096[13]* o1096[14])∧(o1097[13]* o1097[14])∧(o1098[13]* o1098[14]))∧((i409[13]* i409[14])∧(i411[13]* i411[14])∧(o1161[13]* o1161[14]))∧(i386[13]* i386[14])∧(i409[13] <= i411[13]* TRUE)∧(i385[13]* i385[14]))


(11) -> (15), if ((i376[11]* i376[15])∧(i386[11]* i386[15])∧(o956[11]* java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧((o956[11]* o1096[15])∧(o957[11]* o1097[15])∧(o958[11]* o1098[15]))∧(i385[11]* i385[15]))


(12) -> (15), if ((i376[12]* i376[15])∧((i411[12]* i409[15])∧(o1161[12]* java.lang.Object(List(i411[15], o1161[15]))))∧(i386[12]* i386[15])∧(i385[12]* i385[15])∧((o1096[12]* o1096[15])∧(o1097[12]* o1097[15])∧(o1098[12]* o1098[15])))


(14) -> (15), if (((o1096[14]* o1096[15])∧(o1097[14]* o1097[15])∧(o1098[14]* o1098[15]))∧(i386[14]* i386[15])∧(i385[14]* i385[15])∧((i411[14]* i409[15])∧(o1161[14]* java.lang.Object(List(i411[15], o1161[15]))))∧(i376[14]* i376[15]))


(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧((i409[15]* i409[16])∧(i411[15]* i411[16])∧(o1161[15]* o1161[16]))∧((o1096[15]* o1096[16])∧(o1097[15]* o1097[16])∧(o1098[15]* o1098[16]))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))


(11) -> (17), if ((i385[11]* i385[17])∧(o956[11]* java.lang.Object(List(i409[17], NULL)))∧((o956[11]* o1096[17])∧(o957[11]* o1097[17])∧(o958[11]* o1098[17]))∧(i386[11]* i386[17])∧(i376[11]* i376[17]))


(12) -> (17), if ((i386[12]* i386[17])∧((o1096[12]* o1096[17])∧(o1097[12]* o1097[17])∧(o1098[12]* o1098[17]))∧((i411[12]* i409[17])∧(o1161[12]* NULL))∧(i376[12]* i376[17])∧(i385[12]* i385[17]))


(14) -> (17), if (((i411[14]* i409[17])∧(o1161[14]* NULL))∧(i376[14]* i376[17])∧((o1096[14]* o1096[17])∧(o1097[14]* o1097[17])∧(o1098[14]* o1098[17]))∧(i385[14]* i385[17])∧(i386[14]* i386[17]))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(17) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs with 5 less nodes.

(18) Complex Obligation (AND)

(19) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer, Boolean


R is empty.

The integer pair graph contains the following rules and edges:
(5): RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5] + 1)
(17): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
(14): COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
(6): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6] + 1)
(11): COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
(10): LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10], java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])
(9): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])

(17) -> (5), if ((i386[17]* i386[5])∧(i385[17]* i385[5])∧(i376[17]* i376[5])∧((o1096[17]* o1096[5])∧(o1097[17]* o1097[5])∧(o1098[17]* o1098[5])))


(11) -> (6), if ((i385[11]* i385[6])∧((o956[11]* o1096[6])∧(o957[11]* o1097[6])∧(o958[11]* o1098[6]))∧(i386[11]* i386[6])∧(o956[11]* NULL)∧(i376[11]* i376[6]))


(12) -> (6), if ((i376[12]* i376[6])∧(i385[12]* i385[6])∧false∧((o1096[12]* o1096[6])∧(o1097[12]* o1097[6])∧(o1098[12]* o1098[6]))∧(i386[12]* i386[6]))


(14) -> (6), if (false∧(i376[14]* i376[6])∧(i385[14]* i385[6])∧((o1096[14]* o1096[6])∧(o1097[14]* o1097[6])∧(o1098[14]* o1098[6]))∧(i386[14]* i386[6]))


(5) -> (9), if ((i385[5]* i385[9])∧((o1096[5]* o956[9])∧(o1097[5]* o957[9])∧(o1098[5]* o958[9]))∧(i386[5] + 1* i386[9])∧(i376[5]* i376[9]))


(6) -> (9), if ((i385[6]* i385[9])∧(i386[6] + 1* i386[9])∧((o1096[6]* o956[9])∧(o1097[6]* o957[9])∧(o1098[6]* o958[9]))∧(i376[6]* i376[9]))


(9) -> (10), if ((o956[9]* o956[10])∧((o956[9]* o956[10])∧(o957[9]* o957[10])∧(o958[9]* o958[10]))∧(i376[9]* i376[10])∧(i385[9]* i385[10])∧(i386[9]* i386[10]))


(10) -> (11), if ((o956[10]* o956[11])∧(i376[10]* i376[11])∧((o956[10]* o956[11])∧(o957[10]* o957[11])∧(o958[10]* o958[11]))∧(i385[10]* i385[11])∧(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10]* TRUE)∧(i386[10]* i386[11]))


(16) -> (12), if ((i386[16]* i386[12])∧(i385[16]* i385[12])∧((o1096[16]* o1096[12])∧(o1097[16]* o1097[12])∧(o1098[16]* o1098[12]))∧((i411[16]* i409[12])∧(i409[16]* i411[12])∧(o1161[16]* o1161[12]))∧(i376[16]* i376[12]))


(11) -> (13), if ((o956[11]* java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(i376[11]* i376[13])∧((o956[11]* o1096[13])∧(o957[11]* o1097[13])∧(o958[11]* o1098[13]))∧(i386[11]* i386[13])∧(i385[11]* i385[13]))


(12) -> (13), if (((i411[12]* i409[13])∧(o1161[12]* java.lang.Object(List(i411[13], o1161[13]))))∧(i386[12]* i386[13])∧(i385[12]* i385[13])∧((o1096[12]* o1096[13])∧(o1097[12]* o1097[13])∧(o1098[12]* o1098[13]))∧(i376[12]* i376[13]))


(14) -> (13), if ((i376[14]* i376[13])∧((o1096[14]* o1096[13])∧(o1097[14]* o1097[13])∧(o1098[14]* o1098[13]))∧(i386[14]* i386[13])∧((i411[14]* i409[13])∧(o1161[14]* java.lang.Object(List(i411[13], o1161[13]))))∧(i385[14]* i385[13]))


(13) -> (14), if ((i376[13]* i376[14])∧((o1096[13]* o1096[14])∧(o1097[13]* o1097[14])∧(o1098[13]* o1098[14]))∧((i409[13]* i409[14])∧(i411[13]* i411[14])∧(o1161[13]* o1161[14]))∧(i386[13]* i386[14])∧(i409[13] <= i411[13]* TRUE)∧(i385[13]* i385[14]))


(11) -> (15), if ((i376[11]* i376[15])∧(i386[11]* i386[15])∧(o956[11]* java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧((o956[11]* o1096[15])∧(o957[11]* o1097[15])∧(o958[11]* o1098[15]))∧(i385[11]* i385[15]))


(12) -> (15), if ((i376[12]* i376[15])∧((i411[12]* i409[15])∧(o1161[12]* java.lang.Object(List(i411[15], o1161[15]))))∧(i386[12]* i386[15])∧(i385[12]* i385[15])∧((o1096[12]* o1096[15])∧(o1097[12]* o1097[15])∧(o1098[12]* o1098[15])))


(14) -> (15), if (((o1096[14]* o1096[15])∧(o1097[14]* o1097[15])∧(o1098[14]* o1098[15]))∧(i386[14]* i386[15])∧(i385[14]* i385[15])∧((i411[14]* i409[15])∧(o1161[14]* java.lang.Object(List(i411[15], o1161[15]))))∧(i376[14]* i376[15]))


(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧((i409[15]* i409[16])∧(i411[15]* i411[16])∧(o1161[15]* o1161[16]))∧((o1096[15]* o1096[16])∧(o1097[15]* o1097[16])∧(o1098[15]* o1098[16]))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))


(11) -> (17), if ((i385[11]* i385[17])∧(o956[11]* java.lang.Object(List(i409[17], NULL)))∧((o956[11]* o1096[17])∧(o957[11]* o1097[17])∧(o958[11]* o1098[17]))∧(i386[11]* i386[17])∧(i376[11]* i376[17]))


(12) -> (17), if ((i386[12]* i386[17])∧((o1096[12]* o1096[17])∧(o1097[12]* o1097[17])∧(o1098[12]* o1098[17]))∧((i411[12]* i409[17])∧(o1161[12]* NULL))∧(i376[12]* i376[17])∧(i385[12]* i385[17]))


(14) -> (17), if (((i411[14]* i409[17])∧(o1161[14]* NULL))∧(i376[14]* i376[17])∧((o1096[14]* o1096[17])∧(o1097[14]* o1097[17])∧(o1098[14]* o1098[17]))∧(i385[14]* i385[17])∧(i386[14]* i386[17]))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(20) IDPNonInfProof (SOUND transformation)

The constraints were generated the following way:
The DP Problem is simplified using the Induction Calculus [NONINF] with the following steps:
Note that final constraints are written in bold face.


For Pair RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)) the following chains were created:
  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]), RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)) which results in the following constraint:

    (1)    (i385[11]=i385[17]o956[11]=java.lang.Object(List(i409[17], NULL))∧o956[11]=o1096[17]o957[11]=o1097[17]o958[11]=o1098[17]i386[11]=i386[17]i376[11]=i376[17]i386[17]=i386[5]i385[17]=i385[5]i376[17]=i376[5]o1096[17]=o1096[5]o1097[17]=o1097[5]o1098[17]=o1098[5]RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (1) using rule (III) which results in the following new constraint:

    (2)    (RETURN1966(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], i386[11])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], i386[11])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], +(i386[11], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (3)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[1 + (-1)bso_22] ≥ 0)



    We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (4)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[1 + (-1)bso_22] ≥ 0)



    We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (5)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[1 + (-1)bso_22] ≥ 0)



    We simplified constraint (5) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (6)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧[1 + (-1)bso_22] ≥ 0)



  • We consider the chain LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]), RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)) which results in the following constraint:

    (7)    (i386[12]=i386[17]o1096[12]=o1096[17]o1097[12]=o1097[17]o1098[12]=o1098[17]i411[12]=i409[17]o1161[12]=NULLi376[12]=i376[17]i385[12]=i385[17]i386[17]=i386[5]i385[17]=i385[5]i376[17]=i376[5]o1096[17]=o1096[5]o1097[17]=o1097[5]o1098[17]=o1098[5]RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (7) using rules (III), (IV) which results in the following new constraint:

    (8)    (RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], +(i386[12], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (8) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (9)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[1 + (-1)bso_22] ≥ 0)



    We simplified constraint (9) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (10)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[1 + (-1)bso_22] ≥ 0)



    We simplified constraint (10) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (11)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[1 + (-1)bso_22] ≥ 0)



    We simplified constraint (11) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (12)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧[1 + (-1)bso_22] ≥ 0)



  • We consider the chain COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]), RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)) which results in the following constraint:

    (13)    (i411[14]=i409[17]o1161[14]=NULLi376[14]=i376[17]o1096[14]=o1096[17]o1097[14]=o1097[17]o1098[14]=o1098[17]i385[14]=i385[17]i386[14]=i386[17]i386[17]=i386[5]i385[17]=i385[5]i376[17]=i376[5]o1096[17]=o1096[5]o1097[17]=o1097[5]o1098[17]=o1098[5]RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (13) using rules (III), (IV) which results in the following new constraint:

    (14)    (RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], +(i386[14], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (14) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (15)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[1 + (-1)bso_22] ≥ 0)



    We simplified constraint (15) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (16)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[1 + (-1)bso_22] ≥ 0)



    We simplified constraint (16) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (17)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[1 + (-1)bso_22] ≥ 0)



    We simplified constraint (17) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (18)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧[1 + (-1)bso_22] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]), RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)) which results in the following constraint:

    (19)    (i386[17]=i386[5]i385[17]=i385[5]i376[17]=i376[5]o1096[17]=o1096[5]o1097[17]=o1097[5]o1098[17]=o1098[5]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL)))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL)))≥RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])∧(UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥))



    We simplified constraint (19) using rule (IV) which results in the following new constraint:

    (20)    (LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL)))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL)))≥RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])∧(UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥))



    We simplified constraint (20) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (21)    ((UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥)∧[(-1)bso_24] ≥ 0)



    We simplified constraint (21) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (22)    ((UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥)∧[(-1)bso_24] ≥ 0)



    We simplified constraint (22) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (23)    ((UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥)∧[(-1)bso_24] ≥ 0)



    We simplified constraint (23) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (24)    ((UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_24] ≥ 0)







For Pair LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) which results in the following constraint:

    (25)    (>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (25) using rule (III) which results in the following new constraint:

    (26)    (>(i409[15], i411[15])=TRUELOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], o1161[15])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (26) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (27)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[(-1)bni_25 + (-1)Bound*bni_25] + [bni_25]i385[15] + [(-1)bni_25]i386[15] ≥ 0∧[(-1)bso_26] ≥ 0)



    We simplified constraint (27) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (28)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[(-1)bni_25 + (-1)Bound*bni_25] + [bni_25]i385[15] + [(-1)bni_25]i386[15] ≥ 0∧[(-1)bso_26] ≥ 0)



    We simplified constraint (28) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (29)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[(-1)bni_25 + (-1)Bound*bni_25] + [bni_25]i385[15] + [(-1)bni_25]i386[15] ≥ 0∧[(-1)bso_26] ≥ 0)



    We simplified constraint (29) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (30)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧[bni_25] = 0∧[(-1)bni_25] = 0∧[(-1)bni_25 + (-1)Bound*bni_25] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_26] ≥ 0)



    We simplified constraint (30) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (31)    (i409[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧[bni_25] = 0∧[(-1)bni_25] = 0∧[(-1)bni_25 + (-1)Bound*bni_25] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_26] ≥ 0)



    We simplified constraint (31) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (32)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧[bni_25] = 0∧[(-1)bni_25] = 0∧[(-1)bni_25 + (-1)Bound*bni_25] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_26] ≥ 0)


    (33)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧[bni_25] = 0∧[(-1)bni_25] = 0∧[(-1)bni_25 + (-1)Bound*bni_25] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_26] ≥ 0)







For Pair COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) the following chains were created:
  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) which results in the following constraint:

    (34)    (i376[11]=i376[15]i386[11]=i386[15]o956[11]=java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))∧o956[11]=o1096[15]o957[11]=o1097[15]o958[11]=o1098[15]i385[11]=i385[15]>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (34) using rule (III) which results in the following new constraint:

    (35)    (>(i409[15], i411[15])=TRUECOND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (35) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (36)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_27 + (-1)Bound*bni_27] + [bni_27]i385[11] + [(-1)bni_27]i386[11] ≥ 0∧[(-1)bso_28] ≥ 0)



    We simplified constraint (36) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (37)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_27 + (-1)Bound*bni_27] + [bni_27]i385[11] + [(-1)bni_27]i386[11] ≥ 0∧[(-1)bso_28] ≥ 0)



    We simplified constraint (37) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (38)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_27 + (-1)Bound*bni_27] + [bni_27]i385[11] + [(-1)bni_27]i386[11] ≥ 0∧[(-1)bso_28] ≥ 0)



    We simplified constraint (38) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (39)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)



    We simplified constraint (39) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (40)    (i409[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)



    We simplified constraint (40) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (41)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)


    (42)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)



  • We consider the chain LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) which results in the following constraint:

    (43)    (i376[12]=i376[15]i411[12]=i409[15]o1161[12]=java.lang.Object(List(i411[15], o1161[15]))∧i386[12]=i386[15]i385[12]=i385[15]o1096[12]=o1096[15]o1097[12]=o1097[15]o1098[12]=o1098[15]>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (43) using rule (III) which results in the following new constraint:

    (44)    (>(i409[15], i411[15])=TRUECOND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (44) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (45)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_27 + (-1)Bound*bni_27] + [bni_27]i385[12] + [(-1)bni_27]i386[12] ≥ 0∧[(-1)bso_28] ≥ 0)



    We simplified constraint (45) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (46)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_27 + (-1)Bound*bni_27] + [bni_27]i385[12] + [(-1)bni_27]i386[12] ≥ 0∧[(-1)bso_28] ≥ 0)



    We simplified constraint (46) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (47)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_27 + (-1)Bound*bni_27] + [bni_27]i385[12] + [(-1)bni_27]i386[12] ≥ 0∧[(-1)bso_28] ≥ 0)



    We simplified constraint (47) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (48)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)



    We simplified constraint (48) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (49)    (i409[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)



    We simplified constraint (49) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (50)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)


    (51)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)



  • We consider the chain COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) which results in the following constraint:

    (52)    (o1096[14]=o1096[15]o1097[14]=o1097[15]o1098[14]=o1098[15]i386[14]=i386[15]i385[14]=i385[15]i411[14]=i409[15]o1161[14]=java.lang.Object(List(i411[15], o1161[15]))∧i376[14]=i376[15]>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (52) using rule (III) which results in the following new constraint:

    (53)    (>(i409[15], i411[15])=TRUECOND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (53) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (54)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_27 + (-1)Bound*bni_27] + [bni_27]i385[14] + [(-1)bni_27]i386[14] ≥ 0∧[(-1)bso_28] ≥ 0)



    We simplified constraint (54) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (55)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_27 + (-1)Bound*bni_27] + [bni_27]i385[14] + [(-1)bni_27]i386[14] ≥ 0∧[(-1)bso_28] ≥ 0)



    We simplified constraint (55) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (56)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)bni_27 + (-1)Bound*bni_27] + [bni_27]i385[14] + [(-1)bni_27]i386[14] ≥ 0∧[(-1)bso_28] ≥ 0)



    We simplified constraint (56) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (57)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)



    We simplified constraint (57) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (58)    (i409[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)



    We simplified constraint (58) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (59)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)


    (60)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) which results in the following constraint:

    (61)    (>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥))



    We simplified constraint (61) using rule (IV) which results in the following new constraint:

    (62)    (>(i409[15], i411[15])=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥))



    We simplified constraint (62) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (63)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(-1)bni_29 + (-1)Bound*bni_29] + [bni_29]i385[15] + [(-1)bni_29]i386[15] ≥ 0∧[(-1)bso_30] ≥ 0)



    We simplified constraint (63) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (64)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(-1)bni_29 + (-1)Bound*bni_29] + [bni_29]i385[15] + [(-1)bni_29]i386[15] ≥ 0∧[(-1)bso_30] ≥ 0)



    We simplified constraint (64) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (65)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(-1)bni_29 + (-1)Bound*bni_29] + [bni_29]i385[15] + [(-1)bni_29]i386[15] ≥ 0∧[(-1)bso_30] ≥ 0)



    We simplified constraint (65) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (66)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧[bni_29] = 0∧[(-1)bni_29] = 0∧[(-1)bni_29 + (-1)Bound*bni_29] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_30] ≥ 0)



    We simplified constraint (66) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (67)    (i409[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧[bni_29] = 0∧[(-1)bni_29] = 0∧[(-1)bni_29 + (-1)Bound*bni_29] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_30] ≥ 0)



    We simplified constraint (67) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (68)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧[bni_29] = 0∧[(-1)bni_29] = 0∧[(-1)bni_29 + (-1)Bound*bni_29] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_30] ≥ 0)


    (69)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧[bni_29] = 0∧[(-1)bni_29] = 0∧[(-1)bni_29 + (-1)Bound*bni_29] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_30] ≥ 0)







For Pair COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) the following chains were created:
  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (70)    (o956[11]=java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))∧i376[11]=i376[13]o956[11]=o1096[13]o957[11]=o1097[13]o958[11]=o1098[13]i386[11]=i386[13]i385[11]=i385[13]i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (70) using rule (III) which results in the following new constraint:

    (71)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i411[13], o1161[13])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (71) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (72)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)bni_31 + (-1)Bound*bni_31] + [bni_31]i385[11] + [(-1)bni_31]i386[11] ≥ 0∧[(-1)bso_32] ≥ 0)



    We simplified constraint (72) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (73)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)bni_31 + (-1)Bound*bni_31] + [bni_31]i385[11] + [(-1)bni_31]i386[11] ≥ 0∧[(-1)bso_32] ≥ 0)



    We simplified constraint (73) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (74)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)bni_31 + (-1)Bound*bni_31] + [bni_31]i385[11] + [(-1)bni_31]i386[11] ≥ 0∧[(-1)bso_32] ≥ 0)



    We simplified constraint (74) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (75)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)



    We simplified constraint (75) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (76)    (i411[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)



    We simplified constraint (76) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (77)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)


    (78)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)



  • We consider the chain LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (79)    (i411[12]=i409[13]o1161[12]=java.lang.Object(List(i411[13], o1161[13]))∧i386[12]=i386[13]i385[12]=i385[13]o1096[12]=o1096[13]o1097[12]=o1097[13]o1098[12]=o1098[13]i376[12]=i376[13]i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (79) using rule (III) which results in the following new constraint:

    (80)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[13], o1161[13])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (80) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (81)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)bni_31 + (-1)Bound*bni_31] + [bni_31]i385[12] + [(-1)bni_31]i386[12] ≥ 0∧[(-1)bso_32] ≥ 0)



    We simplified constraint (81) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (82)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)bni_31 + (-1)Bound*bni_31] + [bni_31]i385[12] + [(-1)bni_31]i386[12] ≥ 0∧[(-1)bso_32] ≥ 0)



    We simplified constraint (82) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (83)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)bni_31 + (-1)Bound*bni_31] + [bni_31]i385[12] + [(-1)bni_31]i386[12] ≥ 0∧[(-1)bso_32] ≥ 0)



    We simplified constraint (83) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (84)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)



    We simplified constraint (84) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (85)    (i411[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)



    We simplified constraint (85) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (86)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)


    (87)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)



  • We consider the chain COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (88)    (i376[14]=i376[13]o1096[14]=o1096[13]o1097[14]=o1097[13]o1098[14]=o1098[13]i386[14]=i386[13]i411[14]=i409[13]o1161[14]=java.lang.Object(List(i411[13], o1161[13]))∧i385[14]=i385[13]i376[13]=i376[14]1o1096[13]=o1096[14]1o1097[13]=o1097[14]1o1098[13]=o1098[14]1i409[13]=i409[14]1i411[13]=i411[14]1o1161[13]=o1161[14]1i386[13]=i386[14]1<=(i409[13], i411[13])=TRUEi385[13]=i385[14]1COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i409[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i409[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥))



    We simplified constraint (88) using rule (III) which results in the following new constraint:

    (89)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[13], o1161[13])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥))



    We simplified constraint (89) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (90)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧[(-1)bni_31 + (-1)Bound*bni_31] + [bni_31]i385[14] + [(-1)bni_31]i386[14] ≥ 0∧[(-1)bso_32] ≥ 0)



    We simplified constraint (90) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (91)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧[(-1)bni_31 + (-1)Bound*bni_31] + [bni_31]i385[14] + [(-1)bni_31]i386[14] ≥ 0∧[(-1)bso_32] ≥ 0)



    We simplified constraint (91) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (92)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧[(-1)bni_31 + (-1)Bound*bni_31] + [bni_31]i385[14] + [(-1)bni_31]i386[14] ≥ 0∧[(-1)bso_32] ≥ 0)



    We simplified constraint (92) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (93)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)



    We simplified constraint (93) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (94)    (i411[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)



    We simplified constraint (94) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (95)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)


    (96)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (97)    (i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥))



    We simplified constraint (97) using rule (IV) which results in the following new constraint:

    (98)    (<=(i409[13], i411[13])=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥))



    We simplified constraint (98) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (99)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(-1)bni_33 + (-1)Bound*bni_33] + [bni_33]i385[13] + [(-1)bni_33]i386[13] ≥ 0∧[(-1)bso_34] ≥ 0)



    We simplified constraint (99) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (100)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(-1)bni_33 + (-1)Bound*bni_33] + [bni_33]i385[13] + [(-1)bni_33]i386[13] ≥ 0∧[(-1)bso_34] ≥ 0)



    We simplified constraint (100) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (101)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(-1)bni_33 + (-1)Bound*bni_33] + [bni_33]i385[13] + [(-1)bni_33]i386[13] ≥ 0∧[(-1)bso_34] ≥ 0)



    We simplified constraint (101) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (102)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧[bni_33] = 0∧[(-1)bni_33] = 0∧[(-1)bni_33 + (-1)Bound*bni_33] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_34] ≥ 0)



    We simplified constraint (102) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (103)    (i411[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧[bni_33] = 0∧[(-1)bni_33] = 0∧[(-1)bni_33 + (-1)Bound*bni_33] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_34] ≥ 0)



    We simplified constraint (103) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (104)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧[bni_33] = 0∧[(-1)bni_33] = 0∧[(-1)bni_33 + (-1)Bound*bni_33] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_34] ≥ 0)


    (105)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧[bni_33] = 0∧[(-1)bni_33] = 0∧[(-1)bni_33 + (-1)Bound*bni_33] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_34] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)) the following chains were created:
  • We consider the chain LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]), COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)) which results in the following constraint:

    (106)    (o956[10]=o956[11]i376[10]=i376[11]o957[10]=o957[11]o958[10]=o958[11]i385[10]=i385[11]&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10]))=TRUEi386[10]=i386[11]i385[11]=i385[6]o956[11]=o1096[6]o957[11]=o1097[6]o958[11]=o1098[6]i386[11]=i386[6]o956[11]=NULLi376[11]=i376[6]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥))



    We simplified constraint (106) using rules (III), (IDP_CONSTANT_FOLD), (DELETE_TRIVIAL_REDUCESTO), (IDP_BOOLEAN) which results in the following new constraint:

    (107)    (<(i386[10], i385[10])=TRUE>=(i386[10], 0)=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(NULL, o957[10], o958[10]))), i376[10], i385[10], i386[10], NULL)≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(NULL, o957[10], o958[10]))), i376[10], i385[10], i386[10], NULL)≥LOAD1702(java.lang.Object(ARRAY(3, DATA(NULL, o957[10], o958[10]))), i376[10], i385[10], +(i386[10], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥))



    We simplified constraint (107) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (108)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)bni_35 + (-1)Bound*bni_35] + [bni_35]i385[10] + [(-1)bni_35]i386[10] ≥ 0∧[1 + (-1)bso_36] ≥ 0)



    We simplified constraint (108) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (109)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)bni_35 + (-1)Bound*bni_35] + [bni_35]i385[10] + [(-1)bni_35]i386[10] ≥ 0∧[1 + (-1)bso_36] ≥ 0)



    We simplified constraint (109) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (110)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)bni_35 + (-1)Bound*bni_35] + [bni_35]i385[10] + [(-1)bni_35]i386[10] ≥ 0∧[1 + (-1)bso_36] ≥ 0)



    We simplified constraint (110) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (111)    (i385[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)Bound*bni_35] + [bni_35]i385[10] ≥ 0∧[1 + (-1)bso_36] ≥ 0)



  • We consider the chain COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)) which results in the following constraint:

    (112)    (LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥))



    We simplified constraint (112) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (113)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[1 + (-1)bso_36] ≥ 0)



    We simplified constraint (113) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (114)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[1 + (-1)bso_36] ≥ 0)



    We simplified constraint (114) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (115)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[1 + (-1)bso_36] ≥ 0)



    We simplified constraint (115) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (116)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧0 = 0∧0 = 0∧[1 + (-1)bso_36] ≥ 0)



  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)) which results in the following constraint:

    (117)    (LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥))



    We simplified constraint (117) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (118)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[1 + (-1)bso_36] ≥ 0)



    We simplified constraint (118) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (119)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[1 + (-1)bso_36] ≥ 0)



    We simplified constraint (119) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (120)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[1 + (-1)bso_36] ≥ 0)



    We simplified constraint (120) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (121)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧0 = 0∧0 = 0∧[1 + (-1)bso_36] ≥ 0)







For Pair COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) the following chains were created:
  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)) which results in the following constraint:

    (122)    (i385[11]=i385[6]o956[11]=o1096[6]o957[11]=o1097[6]o958[11]=o1098[6]i386[11]=i386[6]o956[11]=NULLi376[11]=i376[6]COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (122) using rules (III), (IV) which results in the following new constraint:

    (123)    (COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], i386[11], NULL)≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], i386[11], NULL)≥LOAD1948(java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], i386[11], NULL)∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (123) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (124)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_38] ≥ 0)



    We simplified constraint (124) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (125)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_38] ≥ 0)



    We simplified constraint (125) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (126)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_38] ≥ 0)



    We simplified constraint (126) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (127)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_38] ≥ 0)



  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) which results in the following constraint:

    (128)    (o956[11]=java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))∧i376[11]=i376[13]o956[11]=o1096[13]o957[11]=o1097[13]o958[11]=o1098[13]i386[11]=i386[13]i385[11]=i385[13]COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (128) using rules (III), (IV) which results in the following new constraint:

    (129)    (COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (129) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (130)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_38] ≥ 0)



    We simplified constraint (130) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (131)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_38] ≥ 0)



    We simplified constraint (131) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (132)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_38] ≥ 0)



    We simplified constraint (132) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (133)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_38] ≥ 0)



  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) which results in the following constraint:

    (134)    (i376[11]=i376[15]i386[11]=i386[15]o956[11]=java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))∧o956[11]=o1096[15]o957[11]=o1097[15]o958[11]=o1098[15]i385[11]=i385[15]COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (134) using rules (III), (IV) which results in the following new constraint:

    (135)    (COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (135) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (136)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_38] ≥ 0)



    We simplified constraint (136) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (137)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_38] ≥ 0)



    We simplified constraint (137) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (138)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_38] ≥ 0)



    We simplified constraint (138) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (139)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_38] ≥ 0)



  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]) which results in the following constraint:

    (140)    (i385[11]=i385[17]o956[11]=java.lang.Object(List(i409[17], NULL))∧o956[11]=o1096[17]o957[11]=o1097[17]o958[11]=o1098[17]i386[11]=i386[17]i376[11]=i376[17]COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (140) using rules (III), (IV) which results in the following new constraint:

    (141)    (COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[17], NULL)))≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[17], NULL)))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[17], NULL)))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (141) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (142)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_38] ≥ 0)



    We simplified constraint (142) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (143)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_38] ≥ 0)



    We simplified constraint (143) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (144)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_38] ≥ 0)



    We simplified constraint (144) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (145)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_38] ≥ 0)







For Pair LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) the following chains were created:
  • We consider the chain LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]), COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) which results in the following constraint:

    (146)    (o956[10]=o956[11]i376[10]=i376[11]o957[10]=o957[11]o958[10]=o958[11]i385[10]=i385[11]&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10]))=TRUEi386[10]=i386[11]LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])≥NonInfC∧LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])≥COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])∧(UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥))



    We simplified constraint (146) using rules (IV), (IDP_CONSTANT_FOLD), (DELETE_TRIVIAL_REDUCESTO), (IDP_BOOLEAN) which results in the following new constraint:

    (147)    (<(i386[10], i385[10])=TRUE>=(i386[10], 0)=TRUELOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])≥NonInfC∧LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])≥COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])∧(UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥))



    We simplified constraint (147) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (148)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)bni_39 + (-1)Bound*bni_39] + [bni_39]i385[10] + [(-1)bni_39]i386[10] ≥ 0∧[(-1)bso_40] ≥ 0)



    We simplified constraint (148) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (149)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)bni_39 + (-1)Bound*bni_39] + [bni_39]i385[10] + [(-1)bni_39]i386[10] ≥ 0∧[(-1)bso_40] ≥ 0)



    We simplified constraint (149) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (150)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)bni_39 + (-1)Bound*bni_39] + [bni_39]i385[10] + [(-1)bni_39]i386[10] ≥ 0∧[(-1)bso_40] ≥ 0)



    We simplified constraint (150) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (151)    (i385[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)Bound*bni_39] + [bni_39]i385[10] ≥ 0∧[(-1)bso_40] ≥ 0)







For Pair LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]), RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (152)    (i386[17]=i386[5]i385[17]=i385[5]i376[17]=i376[5]o1096[17]=o1096[5]o1097[17]=o1097[5]o1098[17]=o1098[5]i385[5]=i385[9]o1096[5]=o956[9]o1097[5]=o957[9]o1098[5]=o958[9]+(i386[5], 1)=i386[9]i376[5]=i376[9]LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (152) using rule (III) which results in the following new constraint:

    (153)    (LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], +(i386[5], 1))≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], +(i386[5], 1))≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], +(i386[5], 1), o1096[17])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (153) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (154)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (154) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (155)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (155) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (156)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (156) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (157)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_42] ≥ 0)



  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (158)    (i385[11]=i385[6]o956[11]=o1096[6]o957[11]=o1097[6]o958[11]=o1098[6]i386[11]=i386[6]o956[11]=NULLi376[11]=i376[6]i385[6]=i385[9]+(i386[6], 1)=i386[9]o1096[6]=o956[9]o1097[6]=o957[9]o1098[6]=o958[9]i376[6]=i376[9]LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (158) using rule (III) which results in the following new constraint:

    (159)    (LOAD1702(java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], +(i386[6], 1))≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], +(i386[6], 1))≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], +(i386[6], 1), NULL)∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (159) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (160)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (160) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (161)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (161) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (162)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (162) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (163)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_42] ≥ 0)



  • We consider the chain LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (164)    (LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (164) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (165)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (165) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (166)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (166) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (167)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (167) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (168)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_42] ≥ 0)



  • We consider the chain COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (169)    (LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (169) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (170)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (170) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (171)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (171) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (172)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_42] ≥ 0)



    We simplified constraint (172) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (173)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_42] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧[1 + (-1)bso_22] ≥ 0)
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧[1 + (-1)bso_22] ≥ 0)
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧[1 + (-1)bso_22] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])
    • ((UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_24] ≥ 0)

  • LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧[bni_25] = 0∧[(-1)bni_25] = 0∧[(-1)bni_25 + (-1)Bound*bni_25] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_26] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧[bni_25] = 0∧[(-1)bni_25] = 0∧[(-1)bni_25 + (-1)Bound*bni_25] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_26] ≥ 0)

  • COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_27] = 0∧[(-1)bni_27] = 0∧[(-1)bni_27 + (-1)Bound*bni_27] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_28] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧[bni_29] = 0∧[(-1)bni_29] = 0∧[(-1)bni_29 + (-1)Bound*bni_29] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_30] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧[bni_29] = 0∧[(-1)bni_29] = 0∧[(-1)bni_29 + (-1)Bound*bni_29] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_30] ≥ 0)

  • COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧[bni_31] = 0∧[(-1)bni_31] = 0∧[(-1)bni_31 + (-1)Bound*bni_31] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_32] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧[bni_33] = 0∧[(-1)bni_33] = 0∧[(-1)bni_33 + (-1)Bound*bni_33] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_34] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧[bni_33] = 0∧[(-1)bni_33] = 0∧[(-1)bni_33 + (-1)Bound*bni_33] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_34] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))
    • (i385[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)Bound*bni_35] + [bni_35]i385[10] ≥ 0∧[1 + (-1)bso_36] ≥ 0)
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧0 = 0∧0 = 0∧[1 + (-1)bso_36] ≥ 0)
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧0 = 0∧0 = 0∧[1 + (-1)bso_36] ≥ 0)

  • COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_38] ≥ 0)
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_38] ≥ 0)
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_38] ≥ 0)
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_38] ≥ 0)

  • LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])
    • (i385[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)Bound*bni_39] + [bni_39]i385[10] ≥ 0∧[(-1)bso_40] ≥ 0)

  • LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])
    • ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_42] ≥ 0)
    • ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_42] ≥ 0)
    • ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_42] ≥ 0)
    • ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_42] ≥ 0)




The constraints for P> respective Pbound are constructed from P where we just replace every occurence of "t ≥ s" in P by "t > s" respective "t ≥ c". Here c stands for the fresh constant used for Pbound.
Using the following integer polynomial ordering the resulting constraints can be solved
Polynomial interpretation over integers[POLO]:

POL(TRUE) = 0   
POL(FALSE) = 0   
POL(RETURN1966(x1, x2, x3, x4)) = [-1] + x3 + [-1]x4   
POL(java.lang.Object(x1)) = x1   
POL(ARRAY(x1, x2)) = [-1]   
POL(3) = [3]   
POL(DATA(x1, x2, x3)) = [-1]   
POL(LOAD1702(x1, x2, x3, x4)) = [-1] + [-1]x4 + x3   
POL(+(x1, x2)) = x1 + x2   
POL(1) = [1]   
POL(LOAD1948(x1, x2, x3, x4, x5)) = [-1] + x3 + [-1]x4   
POL(List(x1, x2)) = [-1] + [-1]x2 + [-1]x1   
POL(NULL) = [-1]   
POL(LOAD2114(x1, x2, x3, x4, x5)) = [-1] + x3 + [-1]x4   
POL(COND_LOAD19481(x1, x2, x3, x4, x5, x6)) = [-1] + x4 + [-1]x5   
POL(>(x1, x2)) = [-1]   
POL(COND_LOAD1948(x1, x2, x3, x4, x5, x6)) = [-1] + x4 + [-1]x5   
POL(<=(x1, x2)) = [-1]   
POL(COND_LOAD1702ARR2(x1, x2, x3, x4, x5, x6)) = [-1] + x4 + [-1]x5   
POL(LOAD1702ARR2(x1, x2, x3, x4, x5)) = [-1] + x3 + [-1]x4   
POL(&&(x1, x2)) = [-1]   
POL(>=(x1, x2)) = [-1]   
POL(0) = 0   
POL(<(x1, x2)) = [-1]   

The following pairs are in P>:

RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))

The following pairs are in Pbound:

LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])

The following pairs are in P:

LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])
LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])
LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])

There are no usable rules.

(21) Complex Obligation (AND)

(22) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer, Boolean


R is empty.

The integer pair graph contains the following rules and edges:
(17): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
(14): COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
(11): COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
(10): LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10], java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])
(9): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])

(9) -> (10), if ((o956[9]* o956[10])∧((o956[9]* o956[10])∧(o957[9]* o957[10])∧(o958[9]* o958[10]))∧(i376[9]* i376[10])∧(i385[9]* i385[10])∧(i386[9]* i386[10]))


(10) -> (11), if ((o956[10]* o956[11])∧(i376[10]* i376[11])∧((o956[10]* o956[11])∧(o957[10]* o957[11])∧(o958[10]* o958[11]))∧(i385[10]* i385[11])∧(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10]* TRUE)∧(i386[10]* i386[11]))


(16) -> (12), if ((i386[16]* i386[12])∧(i385[16]* i385[12])∧((o1096[16]* o1096[12])∧(o1097[16]* o1097[12])∧(o1098[16]* o1098[12]))∧((i411[16]* i409[12])∧(i409[16]* i411[12])∧(o1161[16]* o1161[12]))∧(i376[16]* i376[12]))


(11) -> (13), if ((o956[11]* java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(i376[11]* i376[13])∧((o956[11]* o1096[13])∧(o957[11]* o1097[13])∧(o958[11]* o1098[13]))∧(i386[11]* i386[13])∧(i385[11]* i385[13]))


(12) -> (13), if (((i411[12]* i409[13])∧(o1161[12]* java.lang.Object(List(i411[13], o1161[13]))))∧(i386[12]* i386[13])∧(i385[12]* i385[13])∧((o1096[12]* o1096[13])∧(o1097[12]* o1097[13])∧(o1098[12]* o1098[13]))∧(i376[12]* i376[13]))


(14) -> (13), if ((i376[14]* i376[13])∧((o1096[14]* o1096[13])∧(o1097[14]* o1097[13])∧(o1098[14]* o1098[13]))∧(i386[14]* i386[13])∧((i411[14]* i409[13])∧(o1161[14]* java.lang.Object(List(i411[13], o1161[13]))))∧(i385[14]* i385[13]))


(13) -> (14), if ((i376[13]* i376[14])∧((o1096[13]* o1096[14])∧(o1097[13]* o1097[14])∧(o1098[13]* o1098[14]))∧((i409[13]* i409[14])∧(i411[13]* i411[14])∧(o1161[13]* o1161[14]))∧(i386[13]* i386[14])∧(i409[13] <= i411[13]* TRUE)∧(i385[13]* i385[14]))


(11) -> (15), if ((i376[11]* i376[15])∧(i386[11]* i386[15])∧(o956[11]* java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧((o956[11]* o1096[15])∧(o957[11]* o1097[15])∧(o958[11]* o1098[15]))∧(i385[11]* i385[15]))


(12) -> (15), if ((i376[12]* i376[15])∧((i411[12]* i409[15])∧(o1161[12]* java.lang.Object(List(i411[15], o1161[15]))))∧(i386[12]* i386[15])∧(i385[12]* i385[15])∧((o1096[12]* o1096[15])∧(o1097[12]* o1097[15])∧(o1098[12]* o1098[15])))


(14) -> (15), if (((o1096[14]* o1096[15])∧(o1097[14]* o1097[15])∧(o1098[14]* o1098[15]))∧(i386[14]* i386[15])∧(i385[14]* i385[15])∧((i411[14]* i409[15])∧(o1161[14]* java.lang.Object(List(i411[15], o1161[15]))))∧(i376[14]* i376[15]))


(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧((i409[15]* i409[16])∧(i411[15]* i411[16])∧(o1161[15]* o1161[16]))∧((o1096[15]* o1096[16])∧(o1097[15]* o1097[16])∧(o1098[15]* o1098[16]))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))


(11) -> (17), if ((i385[11]* i385[17])∧(o956[11]* java.lang.Object(List(i409[17], NULL)))∧((o956[11]* o1096[17])∧(o957[11]* o1097[17])∧(o958[11]* o1098[17]))∧(i386[11]* i386[17])∧(i376[11]* i376[17]))


(12) -> (17), if ((i386[12]* i386[17])∧((o1096[12]* o1096[17])∧(o1097[12]* o1097[17])∧(o1098[12]* o1098[17]))∧((i411[12]* i409[17])∧(o1161[12]* NULL))∧(i376[12]* i376[17])∧(i385[12]* i385[17]))


(14) -> (17), if (((i411[14]* i409[17])∧(o1161[14]* NULL))∧(i376[14]* i376[17])∧((o1096[14]* o1096[17])∧(o1097[14]* o1097[17])∧(o1098[14]* o1098[17]))∧(i385[14]* i385[17])∧(i386[14]* i386[17]))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(23) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 4 less nodes.

(24) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
(14): COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))

(16) -> (12), if ((i386[16]* i386[12])∧(i385[16]* i385[12])∧((o1096[16]* o1096[12])∧(o1097[16]* o1097[12])∧(o1098[16]* o1098[12]))∧((i411[16]* i409[12])∧(i409[16]* i411[12])∧(o1161[16]* o1161[12]))∧(i376[16]* i376[12]))


(12) -> (13), if (((i411[12]* i409[13])∧(o1161[12]* java.lang.Object(List(i411[13], o1161[13]))))∧(i386[12]* i386[13])∧(i385[12]* i385[13])∧((o1096[12]* o1096[13])∧(o1097[12]* o1097[13])∧(o1098[12]* o1098[13]))∧(i376[12]* i376[13]))


(14) -> (13), if ((i376[14]* i376[13])∧((o1096[14]* o1096[13])∧(o1097[14]* o1097[13])∧(o1098[14]* o1098[13]))∧(i386[14]* i386[13])∧((i411[14]* i409[13])∧(o1161[14]* java.lang.Object(List(i411[13], o1161[13]))))∧(i385[14]* i385[13]))


(13) -> (14), if ((i376[13]* i376[14])∧((o1096[13]* o1096[14])∧(o1097[13]* o1097[14])∧(o1098[13]* o1098[14]))∧((i409[13]* i409[14])∧(i411[13]* i411[14])∧(o1161[13]* o1161[14]))∧(i386[13]* i386[14])∧(i409[13] <= i411[13]* TRUE)∧(i385[13]* i385[14]))


(12) -> (15), if ((i376[12]* i376[15])∧((i411[12]* i409[15])∧(o1161[12]* java.lang.Object(List(i411[15], o1161[15]))))∧(i386[12]* i386[15])∧(i385[12]* i385[15])∧((o1096[12]* o1096[15])∧(o1097[12]* o1097[15])∧(o1098[12]* o1098[15])))


(14) -> (15), if (((o1096[14]* o1096[15])∧(o1097[14]* o1097[15])∧(o1098[14]* o1098[15]))∧(i386[14]* i386[15])∧(i385[14]* i385[15])∧((i411[14]* i409[15])∧(o1161[14]* java.lang.Object(List(i411[15], o1161[15]))))∧(i376[14]* i376[15]))


(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧((i409[15]* i409[16])∧(i411[15]* i411[16])∧(o1161[15]* o1161[16]))∧((o1096[15]* o1096[16])∧(o1097[15]* o1097[16])∧(o1098[15]* o1098[16]))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(25) IDPNonInfProof (SOUND transformation)

The constraints were generated the following way:
The DP Problem is simplified using the Induction Calculus [NONINF] with the following steps:
Note that final constraints are written in bold face.


For Pair COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) which results in the following constraint:

    (1)    (>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (1) using rules (III), (IV) which results in the following new constraint:

    (2)    (>(i409[15], i411[15])=TRUECOND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (3)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(15)bni_39 + (-1)Bound*bni_39] + [(4)bni_39]o1161[15] + [bni_39]i376[15] ≥ 0∧[6 + (-1)bso_40] ≥ 0)



    We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (4)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(15)bni_39 + (-1)Bound*bni_39] + [(4)bni_39]o1161[15] + [bni_39]i376[15] ≥ 0∧[6 + (-1)bso_40] ≥ 0)



    We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (5)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(15)bni_39 + (-1)Bound*bni_39] + [(4)bni_39]o1161[15] + [bni_39]i376[15] ≥ 0∧[6 + (-1)bso_40] ≥ 0)



    We simplified constraint (5) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (6)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(4)bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(15)bni_39 + (-1)Bound*bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[6 + (-1)bso_40] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) which results in the following constraint:

    (7)    (>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥))



    We simplified constraint (7) using rule (IV) which results in the following new constraint:

    (8)    (>(i409[15], i411[15])=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥))



    We simplified constraint (8) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (9)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(16)bni_41 + (-1)Bound*bni_41] + [(4)bni_41]o1161[15] + [bni_41]i376[15] ≥ 0∧[1 + (-1)bso_42] ≥ 0)



    We simplified constraint (9) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (10)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(16)bni_41 + (-1)Bound*bni_41] + [(4)bni_41]o1161[15] + [bni_41]i376[15] ≥ 0∧[1 + (-1)bso_42] ≥ 0)



    We simplified constraint (10) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (11)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(16)bni_41 + (-1)Bound*bni_41] + [(4)bni_41]o1161[15] + [bni_41]i376[15] ≥ 0∧[1 + (-1)bso_42] ≥ 0)



    We simplified constraint (11) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (12)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(4)bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(16)bni_41 + (-1)Bound*bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_42] ≥ 0)







For Pair COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) which results in the following constraint:

    (13)    (i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]i376[14]=i376[13]1o1096[14]=o1096[13]1o1097[14]=o1097[13]1o1098[14]=o1098[13]1i386[14]=i386[13]1i411[14]=i409[13]1o1161[14]=java.lang.Object(List(i411[13]1, o1161[13]1))∧i385[14]=i385[13]1COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (13) using rules (III), (IV) which results in the following new constraint:

    (14)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[13]1, o1161[13]1)))))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[13]1, o1161[13]1)))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[13]1, o1161[13]1)))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (14) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (15)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[13]1 + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[13]1 ≥ 0)



    We simplified constraint (15) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (16)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[13]1 + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[13]1 ≥ 0)



    We simplified constraint (16) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (17)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[13]1 + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[13]1 ≥ 0)



    We simplified constraint (17) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (18)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(8)bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(24)bni_43 + (-1)Bound*bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[8 + (-1)bso_44] ≥ 0∧[1] ≥ 0)



  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) which results in the following constraint:

    (19)    (i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]o1096[14]=o1096[15]o1097[14]=o1097[15]o1098[14]=o1098[15]i386[14]=i386[15]i385[14]=i385[15]i411[14]=i409[15]o1161[14]=java.lang.Object(List(i411[15], o1161[15]))∧i376[14]=i376[15]COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (19) using rules (III), (IV) which results in the following new constraint:

    (20)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[15], o1161[15])))))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[15], o1161[15])))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (20) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (21)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[15] + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[15] ≥ 0)



    We simplified constraint (21) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (22)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[15] + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[15] ≥ 0)



    We simplified constraint (22) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (23)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[15] + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[15] ≥ 0)



    We simplified constraint (23) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (24)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(8)bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(24)bni_43 + (-1)Bound*bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[8 + (-1)bso_44] ≥ 0∧[1] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (25)    (i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥))



    We simplified constraint (25) using rule (IV) which results in the following new constraint:

    (26)    (<=(i409[13], i411[13])=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥))



    We simplified constraint (26) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (27)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(16)bni_45 + (-1)Bound*bni_45] + [(4)bni_45]o1161[13] + [bni_45]i376[13] ≥ 0∧[(-1)bso_46] ≥ 0)



    We simplified constraint (27) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (28)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(16)bni_45 + (-1)Bound*bni_45] + [(4)bni_45]o1161[13] + [bni_45]i376[13] ≥ 0∧[(-1)bso_46] ≥ 0)



    We simplified constraint (28) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (29)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(16)bni_45 + (-1)Bound*bni_45] + [(4)bni_45]o1161[13] + [bni_45]i376[13] ≥ 0∧[(-1)bso_46] ≥ 0)



    We simplified constraint (29) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (30)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(4)bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(16)bni_45 + (-1)Bound*bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_46] ≥ 0)







For Pair LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) the following chains were created:
  • We consider the chain COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) which results in the following constraint:

    (31)    (i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]i411[12]=i409[13]o1161[12]=java.lang.Object(List(i411[13], o1161[13]))∧i386[12]=i386[13]i385[12]=i385[13]o1096[12]=o1096[13]o1097[12]=o1097[13]o1098[12]=o1098[13]i376[12]=i376[13]LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (31) using rules (III), (IV) which results in the following new constraint:

    (32)    (LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[13], o1161[13])))))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[13], o1161[13])))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (32) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (33)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[13] ≥ 0)



    We simplified constraint (33) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (34)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[13] ≥ 0)



    We simplified constraint (34) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (35)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[13] ≥ 0)



    We simplified constraint (35) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (36)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_48] ≥ 0∧[1] ≥ 0)



  • We consider the chain COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) which results in the following constraint:

    (37)    (i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]i376[12]=i376[15]i411[12]=i409[15]o1161[12]=java.lang.Object(List(i411[15], o1161[15]))∧i386[12]=i386[15]i385[12]=i385[15]o1096[12]=o1096[15]o1097[12]=o1097[15]o1098[12]=o1098[15]LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (37) using rules (III), (IV) which results in the following new constraint:

    (38)    (LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[15], o1161[15])))))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[15], o1161[15])))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (38) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (39)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[15] ≥ 0)



    We simplified constraint (39) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (40)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[15] ≥ 0)



    We simplified constraint (40) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (41)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[15] ≥ 0)



    We simplified constraint (41) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (42)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_48] ≥ 0∧[1] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(4)bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(15)bni_39 + (-1)Bound*bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[6 + (-1)bso_40] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(4)bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(16)bni_41 + (-1)Bound*bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_42] ≥ 0)

  • COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(8)bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(24)bni_43 + (-1)Bound*bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[8 + (-1)bso_44] ≥ 0∧[1] ≥ 0)
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(8)bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(24)bni_43 + (-1)Bound*bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[8 + (-1)bso_44] ≥ 0∧[1] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(4)bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(16)bni_45 + (-1)Bound*bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_46] ≥ 0)

  • LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_48] ≥ 0∧[1] ≥ 0)
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_48] ≥ 0∧[1] ≥ 0)




The constraints for P> respective Pbound are constructed from P where we just replace every occurence of "t ≥ s" in P by "t > s" respective "t ≥ c". Here c stands for the fresh constant used for Pbound.
Using the following integer polynomial ordering the resulting constraints can be solved
Polynomial interpretation over integers with natural coefficients for all symbols [NONINF][POLO]:

POL(TRUE) = 0   
POL(FALSE) = 0   
POL(COND_LOAD19481(x1, x2, x3, x4, x5, x6)) = [1] + x6 + x3 + [2]x2   
POL(java.lang.Object(x1)) = [2]x1   
POL(ARRAY(x1, x2)) = [2]x2   
POL(3) = 0   
POL(DATA(x1, x2, x3)) = [1]   
POL(List(x1, x2)) = [1] + x2   
POL(LOAD2114(x1, x2, x3, x4, x5)) = [3] + x5 + x2   
POL(LOAD1948(x1, x2, x3, x4, x5)) = [2] + x5 + x2 + [2]x1   
POL(>(x1, x2)) = 0   
POL(COND_LOAD1948(x1, x2, x3, x4, x5, x6)) = [2] + x6 + x3 + [2]x2   
POL(<=(x1, x2)) = 0   

The following pairs are in P>:

COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))

The following pairs are in Pbound:

COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))

The following pairs are in P:

LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))

There are no usable rules.

(26) Complex Obligation (AND)

(27) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))


The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(28) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(29) TRUE

(30) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:
none


R is empty.

The integer pair graph contains the following rules and edges:
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))


The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(31) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(32) TRUE

(33) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(5): RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5] + 1)
(17): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
(14): COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
(6): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6] + 1)
(11): COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
(9): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])

(17) -> (5), if ((i386[17]* i386[5])∧(i385[17]* i385[5])∧(i376[17]* i376[5])∧((o1096[17]* o1096[5])∧(o1097[17]* o1097[5])∧(o1098[17]* o1098[5])))


(11) -> (6), if ((i385[11]* i385[6])∧((o956[11]* o1096[6])∧(o957[11]* o1097[6])∧(o958[11]* o1098[6]))∧(i386[11]* i386[6])∧(o956[11]* NULL)∧(i376[11]* i376[6]))


(12) -> (6), if ((i376[12]* i376[6])∧(i385[12]* i385[6])∧false∧((o1096[12]* o1096[6])∧(o1097[12]* o1097[6])∧(o1098[12]* o1098[6]))∧(i386[12]* i386[6]))


(14) -> (6), if (false∧(i376[14]* i376[6])∧(i385[14]* i385[6])∧((o1096[14]* o1096[6])∧(o1097[14]* o1097[6])∧(o1098[14]* o1098[6]))∧(i386[14]* i386[6]))


(5) -> (9), if ((i385[5]* i385[9])∧((o1096[5]* o956[9])∧(o1097[5]* o957[9])∧(o1098[5]* o958[9]))∧(i386[5] + 1* i386[9])∧(i376[5]* i376[9]))


(6) -> (9), if ((i385[6]* i385[9])∧(i386[6] + 1* i386[9])∧((o1096[6]* o956[9])∧(o1097[6]* o957[9])∧(o1098[6]* o958[9]))∧(i376[6]* i376[9]))


(16) -> (12), if ((i386[16]* i386[12])∧(i385[16]* i385[12])∧((o1096[16]* o1096[12])∧(o1097[16]* o1097[12])∧(o1098[16]* o1098[12]))∧((i411[16]* i409[12])∧(i409[16]* i411[12])∧(o1161[16]* o1161[12]))∧(i376[16]* i376[12]))


(11) -> (13), if ((o956[11]* java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(i376[11]* i376[13])∧((o956[11]* o1096[13])∧(o957[11]* o1097[13])∧(o958[11]* o1098[13]))∧(i386[11]* i386[13])∧(i385[11]* i385[13]))


(12) -> (13), if (((i411[12]* i409[13])∧(o1161[12]* java.lang.Object(List(i411[13], o1161[13]))))∧(i386[12]* i386[13])∧(i385[12]* i385[13])∧((o1096[12]* o1096[13])∧(o1097[12]* o1097[13])∧(o1098[12]* o1098[13]))∧(i376[12]* i376[13]))


(14) -> (13), if ((i376[14]* i376[13])∧((o1096[14]* o1096[13])∧(o1097[14]* o1097[13])∧(o1098[14]* o1098[13]))∧(i386[14]* i386[13])∧((i411[14]* i409[13])∧(o1161[14]* java.lang.Object(List(i411[13], o1161[13]))))∧(i385[14]* i385[13]))


(13) -> (14), if ((i376[13]* i376[14])∧((o1096[13]* o1096[14])∧(o1097[13]* o1097[14])∧(o1098[13]* o1098[14]))∧((i409[13]* i409[14])∧(i411[13]* i411[14])∧(o1161[13]* o1161[14]))∧(i386[13]* i386[14])∧(i409[13] <= i411[13]* TRUE)∧(i385[13]* i385[14]))


(11) -> (15), if ((i376[11]* i376[15])∧(i386[11]* i386[15])∧(o956[11]* java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧((o956[11]* o1096[15])∧(o957[11]* o1097[15])∧(o958[11]* o1098[15]))∧(i385[11]* i385[15]))


(12) -> (15), if ((i376[12]* i376[15])∧((i411[12]* i409[15])∧(o1161[12]* java.lang.Object(List(i411[15], o1161[15]))))∧(i386[12]* i386[15])∧(i385[12]* i385[15])∧((o1096[12]* o1096[15])∧(o1097[12]* o1097[15])∧(o1098[12]* o1098[15])))


(14) -> (15), if (((o1096[14]* o1096[15])∧(o1097[14]* o1097[15])∧(o1098[14]* o1098[15]))∧(i386[14]* i386[15])∧(i385[14]* i385[15])∧((i411[14]* i409[15])∧(o1161[14]* java.lang.Object(List(i411[15], o1161[15]))))∧(i376[14]* i376[15]))


(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧((i409[15]* i409[16])∧(i411[15]* i411[16])∧(o1161[15]* o1161[16]))∧((o1096[15]* o1096[16])∧(o1097[15]* o1097[16])∧(o1098[15]* o1098[16]))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))


(11) -> (17), if ((i385[11]* i385[17])∧(o956[11]* java.lang.Object(List(i409[17], NULL)))∧((o956[11]* o1096[17])∧(o957[11]* o1097[17])∧(o958[11]* o1098[17]))∧(i386[11]* i386[17])∧(i376[11]* i376[17]))


(12) -> (17), if ((i386[12]* i386[17])∧((o1096[12]* o1096[17])∧(o1097[12]* o1097[17])∧(o1098[12]* o1098[17]))∧((i411[12]* i409[17])∧(o1161[12]* NULL))∧(i376[12]* i376[17])∧(i385[12]* i385[17]))


(14) -> (17), if (((i411[14]* i409[17])∧(o1161[14]* NULL))∧(i376[14]* i376[17])∧((o1096[14]* o1096[17])∧(o1097[14]* o1097[17])∧(o1098[14]* o1098[17]))∧(i385[14]* i385[17])∧(i386[14]* i386[17]))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(34) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 5 less nodes.

(35) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
(14): COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))

(16) -> (12), if ((i386[16]* i386[12])∧(i385[16]* i385[12])∧((o1096[16]* o1096[12])∧(o1097[16]* o1097[12])∧(o1098[16]* o1098[12]))∧((i411[16]* i409[12])∧(i409[16]* i411[12])∧(o1161[16]* o1161[12]))∧(i376[16]* i376[12]))


(12) -> (13), if (((i411[12]* i409[13])∧(o1161[12]* java.lang.Object(List(i411[13], o1161[13]))))∧(i386[12]* i386[13])∧(i385[12]* i385[13])∧((o1096[12]* o1096[13])∧(o1097[12]* o1097[13])∧(o1098[12]* o1098[13]))∧(i376[12]* i376[13]))


(14) -> (13), if ((i376[14]* i376[13])∧((o1096[14]* o1096[13])∧(o1097[14]* o1097[13])∧(o1098[14]* o1098[13]))∧(i386[14]* i386[13])∧((i411[14]* i409[13])∧(o1161[14]* java.lang.Object(List(i411[13], o1161[13]))))∧(i385[14]* i385[13]))


(13) -> (14), if ((i376[13]* i376[14])∧((o1096[13]* o1096[14])∧(o1097[13]* o1097[14])∧(o1098[13]* o1098[14]))∧((i409[13]* i409[14])∧(i411[13]* i411[14])∧(o1161[13]* o1161[14]))∧(i386[13]* i386[14])∧(i409[13] <= i411[13]* TRUE)∧(i385[13]* i385[14]))


(12) -> (15), if ((i376[12]* i376[15])∧((i411[12]* i409[15])∧(o1161[12]* java.lang.Object(List(i411[15], o1161[15]))))∧(i386[12]* i386[15])∧(i385[12]* i385[15])∧((o1096[12]* o1096[15])∧(o1097[12]* o1097[15])∧(o1098[12]* o1098[15])))


(14) -> (15), if (((o1096[14]* o1096[15])∧(o1097[14]* o1097[15])∧(o1098[14]* o1098[15]))∧(i386[14]* i386[15])∧(i385[14]* i385[15])∧((i411[14]* i409[15])∧(o1161[14]* java.lang.Object(List(i411[15], o1161[15]))))∧(i376[14]* i376[15]))


(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧((i409[15]* i409[16])∧(i411[15]* i411[16])∧(o1161[15]* o1161[16]))∧((o1096[15]* o1096[16])∧(o1097[15]* o1097[16])∧(o1098[15]* o1098[16]))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(36) IDPNonInfProof (SOUND transformation)

The constraints were generated the following way:
The DP Problem is simplified using the Induction Calculus [NONINF] with the following steps:
Note that final constraints are written in bold face.


For Pair COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) which results in the following constraint:

    (1)    (>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (1) using rules (III), (IV) which results in the following new constraint:

    (2)    (>(i409[15], i411[15])=TRUECOND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (3)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(15)bni_39 + (-1)Bound*bni_39] + [(4)bni_39]o1161[15] + [bni_39]i376[15] ≥ 0∧[6 + (-1)bso_40] ≥ 0)



    We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (4)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(15)bni_39 + (-1)Bound*bni_39] + [(4)bni_39]o1161[15] + [bni_39]i376[15] ≥ 0∧[6 + (-1)bso_40] ≥ 0)



    We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (5)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(15)bni_39 + (-1)Bound*bni_39] + [(4)bni_39]o1161[15] + [bni_39]i376[15] ≥ 0∧[6 + (-1)bso_40] ≥ 0)



    We simplified constraint (5) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (6)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(4)bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(15)bni_39 + (-1)Bound*bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[6 + (-1)bso_40] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) which results in the following constraint:

    (7)    (>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥))



    We simplified constraint (7) using rule (IV) which results in the following new constraint:

    (8)    (>(i409[15], i411[15])=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥))



    We simplified constraint (8) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (9)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(16)bni_41 + (-1)Bound*bni_41] + [(4)bni_41]o1161[15] + [bni_41]i376[15] ≥ 0∧[1 + (-1)bso_42] ≥ 0)



    We simplified constraint (9) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (10)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(16)bni_41 + (-1)Bound*bni_41] + [(4)bni_41]o1161[15] + [bni_41]i376[15] ≥ 0∧[1 + (-1)bso_42] ≥ 0)



    We simplified constraint (10) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (11)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(16)bni_41 + (-1)Bound*bni_41] + [(4)bni_41]o1161[15] + [bni_41]i376[15] ≥ 0∧[1 + (-1)bso_42] ≥ 0)



    We simplified constraint (11) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (12)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(4)bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(16)bni_41 + (-1)Bound*bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_42] ≥ 0)







For Pair COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) which results in the following constraint:

    (13)    (i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]i376[14]=i376[13]1o1096[14]=o1096[13]1o1097[14]=o1097[13]1o1098[14]=o1098[13]1i386[14]=i386[13]1i411[14]=i409[13]1o1161[14]=java.lang.Object(List(i411[13]1, o1161[13]1))∧i385[14]=i385[13]1COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (13) using rules (III), (IV) which results in the following new constraint:

    (14)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[13]1, o1161[13]1)))))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[13]1, o1161[13]1)))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[13]1, o1161[13]1)))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (14) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (15)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[13]1 + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[13]1 ≥ 0)



    We simplified constraint (15) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (16)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[13]1 + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[13]1 ≥ 0)



    We simplified constraint (16) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (17)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[13]1 + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[13]1 ≥ 0)



    We simplified constraint (17) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (18)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(8)bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(24)bni_43 + (-1)Bound*bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[8 + (-1)bso_44] ≥ 0∧[1] ≥ 0)



  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) which results in the following constraint:

    (19)    (i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]o1096[14]=o1096[15]o1097[14]=o1097[15]o1098[14]=o1098[15]i386[14]=i386[15]i385[14]=i385[15]i411[14]=i409[15]o1161[14]=java.lang.Object(List(i411[15], o1161[15]))∧i376[14]=i376[15]COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (19) using rules (III), (IV) which results in the following new constraint:

    (20)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[15], o1161[15])))))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[15], o1161[15])))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (20) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (21)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[15] + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[15] ≥ 0)



    We simplified constraint (21) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (22)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[15] + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[15] ≥ 0)



    We simplified constraint (22) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (23)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[15] + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[15] ≥ 0)



    We simplified constraint (23) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (24)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(8)bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(24)bni_43 + (-1)Bound*bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[8 + (-1)bso_44] ≥ 0∧[1] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (25)    (i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥))



    We simplified constraint (25) using rule (IV) which results in the following new constraint:

    (26)    (<=(i409[13], i411[13])=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥))



    We simplified constraint (26) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (27)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(16)bni_45 + (-1)Bound*bni_45] + [(4)bni_45]o1161[13] + [bni_45]i376[13] ≥ 0∧[(-1)bso_46] ≥ 0)



    We simplified constraint (27) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (28)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(16)bni_45 + (-1)Bound*bni_45] + [(4)bni_45]o1161[13] + [bni_45]i376[13] ≥ 0∧[(-1)bso_46] ≥ 0)



    We simplified constraint (28) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (29)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(16)bni_45 + (-1)Bound*bni_45] + [(4)bni_45]o1161[13] + [bni_45]i376[13] ≥ 0∧[(-1)bso_46] ≥ 0)



    We simplified constraint (29) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (30)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(4)bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(16)bni_45 + (-1)Bound*bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_46] ≥ 0)







For Pair LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) the following chains were created:
  • We consider the chain COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) which results in the following constraint:

    (31)    (i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]i411[12]=i409[13]o1161[12]=java.lang.Object(List(i411[13], o1161[13]))∧i386[12]=i386[13]i385[12]=i385[13]o1096[12]=o1096[13]o1097[12]=o1097[13]o1098[12]=o1098[13]i376[12]=i376[13]LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (31) using rules (III), (IV) which results in the following new constraint:

    (32)    (LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[13], o1161[13])))))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[13], o1161[13])))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (32) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (33)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[13] ≥ 0)



    We simplified constraint (33) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (34)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[13] ≥ 0)



    We simplified constraint (34) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (35)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[13] ≥ 0)



    We simplified constraint (35) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (36)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_48] ≥ 0∧[1] ≥ 0)



  • We consider the chain COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) which results in the following constraint:

    (37)    (i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]i376[12]=i376[15]i411[12]=i409[15]o1161[12]=java.lang.Object(List(i411[15], o1161[15]))∧i386[12]=i386[15]i385[12]=i385[15]o1096[12]=o1096[15]o1097[12]=o1097[15]o1098[12]=o1098[15]LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (37) using rules (III), (IV) which results in the following new constraint:

    (38)    (LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[15], o1161[15])))))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[15], o1161[15])))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (38) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (39)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[15] ≥ 0)



    We simplified constraint (39) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (40)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[15] ≥ 0)



    We simplified constraint (40) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (41)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[15] ≥ 0)



    We simplified constraint (41) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (42)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_48] ≥ 0∧[1] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(4)bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(15)bni_39 + (-1)Bound*bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[6 + (-1)bso_40] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(4)bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(16)bni_41 + (-1)Bound*bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_42] ≥ 0)

  • COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(8)bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(24)bni_43 + (-1)Bound*bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[8 + (-1)bso_44] ≥ 0∧[1] ≥ 0)
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(8)bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(24)bni_43 + (-1)Bound*bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[8 + (-1)bso_44] ≥ 0∧[1] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(4)bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(16)bni_45 + (-1)Bound*bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_46] ≥ 0)

  • LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_48] ≥ 0∧[1] ≥ 0)
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_48] ≥ 0∧[1] ≥ 0)




The constraints for P> respective Pbound are constructed from P where we just replace every occurence of "t ≥ s" in P by "t > s" respective "t ≥ c". Here c stands for the fresh constant used for Pbound.
Using the following integer polynomial ordering the resulting constraints can be solved
Polynomial interpretation over integers with natural coefficients for all symbols [NONINF][POLO]:

POL(TRUE) = 0   
POL(FALSE) = 0   
POL(COND_LOAD19481(x1, x2, x3, x4, x5, x6)) = [1] + x6 + x3 + [2]x2   
POL(java.lang.Object(x1)) = [2]x1   
POL(ARRAY(x1, x2)) = [2]x2   
POL(3) = 0   
POL(DATA(x1, x2, x3)) = [1]   
POL(List(x1, x2)) = [1] + x2   
POL(LOAD2114(x1, x2, x3, x4, x5)) = [3] + x5 + x2   
POL(LOAD1948(x1, x2, x3, x4, x5)) = [2] + x5 + x2 + [2]x1   
POL(>(x1, x2)) = 0   
POL(COND_LOAD1948(x1, x2, x3, x4, x5, x6)) = [2] + x6 + x3 + [2]x2   
POL(<=(x1, x2)) = 0   

The following pairs are in P>:

COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))

The following pairs are in Pbound:

COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))

The following pairs are in P:

LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))

There are no usable rules.

(37) Complex Obligation (AND)

(38) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))


The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(39) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(40) TRUE

(41) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:
none


R is empty.

The integer pair graph contains the following rules and edges:
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))


The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(42) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(43) TRUE

(44) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(3): LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], i378[3] + 1)

(3) -> (3), if ((i376[3]* i376[3]')∧((o925[3]* o925[3]')∧(o926[3]* o926[3]')∧(o927[3]* o927[3]'))∧(i378[3] + 1* i378[3]')∧(o933[3]* java.lang.Object(List(i379[3]', o933[3]'))))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(45) IDPtoQDPProof (SOUND transformation)

Represented integers and predefined function symbols by Terms

(46) Obligation:

Q DP problem:
The TRS P consists of the following rules:

LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], plus_int(pos(s(0)), i378[3]))

The TRS R consists of the following rules:

plus_int(pos(x), neg(y)) → minus_nat(x, y)
plus_int(neg(x), pos(y)) → minus_nat(y, x)
plus_int(neg(x), neg(y)) → neg(plus_nat(x, y))
plus_int(pos(x), pos(y)) → pos(plus_nat(x, y))
plus_nat(0, x) → x
plus_nat(s(x), y) → s(plus_nat(x, y))
minus_nat(0, 0) → pos(0)
minus_nat(0, s(y)) → neg(s(y))
minus_nat(s(x), 0) → pos(s(x))
minus_nat(s(x), s(y)) → minus_nat(x, y)

The set Q consists of the following terms:

Load1380(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))
plus_int(pos(x0), neg(x1))
plus_int(neg(x0), pos(x1))
plus_int(neg(x0), neg(x1))
plus_int(pos(x0), pos(x1))
plus_nat(0, x0)
plus_nat(s(x0), x1)
minus_nat(0, 0)
minus_nat(0, s(x0))
minus_nat(s(x0), 0)
minus_nat(s(x0), s(x1))

We have to consider all minimal (P,Q,R)-chains.

(47) UsableRulesProof (EQUIVALENT transformation)

As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.

(48) Obligation:

Q DP problem:
The TRS P consists of the following rules:

LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], plus_int(pos(s(0)), i378[3]))

The TRS R consists of the following rules:

plus_int(pos(x), neg(y)) → minus_nat(x, y)
plus_int(pos(x), pos(y)) → pos(plus_nat(x, y))
plus_nat(0, x) → x
plus_nat(s(x), y) → s(plus_nat(x, y))
minus_nat(0, 0) → pos(0)
minus_nat(0, s(y)) → neg(s(y))
minus_nat(s(x), 0) → pos(s(x))
minus_nat(s(x), s(y)) → minus_nat(x, y)

The set Q consists of the following terms:

Load1380(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))
plus_int(pos(x0), neg(x1))
plus_int(neg(x0), pos(x1))
plus_int(neg(x0), neg(x1))
plus_int(pos(x0), pos(x1))
plus_nat(0, x0)
plus_nat(s(x0), x1)
minus_nat(0, 0)
minus_nat(0, s(x0))
minus_nat(s(x0), 0)
minus_nat(s(x0), s(x1))

We have to consider all minimal (P,Q,R)-chains.

(49) QReductionProof (EQUIVALENT transformation)

We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].

Load1380(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(50) Obligation:

Q DP problem:
The TRS P consists of the following rules:

LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], plus_int(pos(s(0)), i378[3]))

The TRS R consists of the following rules:

plus_int(pos(x), neg(y)) → minus_nat(x, y)
plus_int(pos(x), pos(y)) → pos(plus_nat(x, y))
plus_nat(0, x) → x
plus_nat(s(x), y) → s(plus_nat(x, y))
minus_nat(0, 0) → pos(0)
minus_nat(0, s(y)) → neg(s(y))
minus_nat(s(x), 0) → pos(s(x))
minus_nat(s(x), s(y)) → minus_nat(x, y)

The set Q consists of the following terms:

plus_int(pos(x0), neg(x1))
plus_int(neg(x0), pos(x1))
plus_int(neg(x0), neg(x1))
plus_int(pos(x0), pos(x1))
plus_nat(0, x0)
plus_nat(s(x0), x1)
minus_nat(0, 0)
minus_nat(0, s(x0))
minus_nat(s(x0), 0)
minus_nat(s(x0), s(x1))

We have to consider all minimal (P,Q,R)-chains.

(51) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], plus_int(pos(s(0)), i378[3]))
    The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3

(52) TRUE

(53) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer, Boolean


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD1380(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0]) → LOAD1380ARR1(java.lang.Object(ARRAY(3, DATA(o903[0], o904[0], o905[0]))), i376[0], o903[0])
(3): LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], i378[3] + 1)
(4): LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], NULL, i378[4]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o925[4], o926[4], o927[4]))), i376[4], i378[4], 0)
(5): RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5] + 1)
(6): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6] + 1)
(7): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7]) → COND_LOAD1702(i385[7] >= 0 && i386[7] >= i385[7] && i376[7] + 1 > 0, java.lang.Object(ARRAY(3, DATA(o956[7], o957[7], o958[7]))), i376[7], i385[7], i386[7])
(8): COND_LOAD1702(TRUE, java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8], i385[8], i386[8]) → LOAD1380(java.lang.Object(ARRAY(3, DATA(o956[8], o957[8], o958[8]))), i376[8] + 1)
(9): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])
(10): LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10], java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])
(11): COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
(14): COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(17): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])

(8) -> (0), if ((i376[8] + 1* i376[0])∧((o956[8]* o903[0])∧(o957[8]* o904[0])∧(o958[8]* o905[0])))


(3) -> (3), if ((i376[3]* i376[3]')∧((o925[3]* o925[3]')∧(o926[3]* o926[3]')∧(o927[3]* o927[3]'))∧(i378[3] + 1* i378[3]')∧(o933[3]* java.lang.Object(List(i379[3]', o933[3]'))))


(3) -> (4), if ((i378[3] + 1* i378[4])∧(o933[3]* NULL)∧(i376[3]* i376[4])∧((o925[3]* o925[4])∧(o926[3]* o926[4])∧(o927[3]* o927[4])))


(17) -> (5), if ((i386[17]* i386[5])∧(i385[17]* i385[5])∧(i376[17]* i376[5])∧((o1096[17]* o1096[5])∧(o1097[17]* o1097[5])∧(o1098[17]* o1098[5])))


(11) -> (6), if ((i385[11]* i385[6])∧((o956[11]* o1096[6])∧(o957[11]* o1097[6])∧(o958[11]* o1098[6]))∧(i386[11]* i386[6])∧(o956[11]* NULL)∧(i376[11]* i376[6]))


(12) -> (6), if ((i376[12]* i376[6])∧(i385[12]* i385[6])∧false∧((o1096[12]* o1096[6])∧(o1097[12]* o1097[6])∧(o1098[12]* o1098[6]))∧(i386[12]* i386[6]))


(14) -> (6), if (false∧(i376[14]* i376[6])∧(i385[14]* i385[6])∧((o1096[14]* o1096[6])∧(o1097[14]* o1097[6])∧(o1098[14]* o1098[6]))∧(i386[14]* i386[6]))


(4) -> (7), if ((i378[4]* i385[7])∧((o925[4]* o956[7])∧(o926[4]* o957[7])∧(o927[4]* o958[7]))∧(i376[4]* i376[7])∧(0* i386[7]))


(5) -> (7), if ((i386[5] + 1* i386[7])∧(i385[5]* i385[7])∧(i376[5]* i376[7])∧((o1096[5]* o956[7])∧(o1097[5]* o957[7])∧(o1098[5]* o958[7])))


(6) -> (7), if ((i385[6]* i385[7])∧((o1096[6]* o956[7])∧(o1097[6]* o957[7])∧(o1098[6]* o958[7]))∧(i386[6] + 1* i386[7])∧(i376[6]* i376[7]))


(7) -> (8), if (((o956[7]* o956[8])∧(o957[7]* o957[8])∧(o958[7]* o958[8]))∧(i385[7]* i385[8])∧(i376[7]* i376[8])∧(i386[7]* i386[8])∧(i385[7] >= 0 && i386[7] >= i385[7] && i376[7] + 1 > 0* TRUE))


(4) -> (9), if (((o925[4]* o956[9])∧(o926[4]* o957[9])∧(o927[4]* o958[9]))∧(i378[4]* i385[9])∧(i376[4]* i376[9])∧(0* i386[9]))


(5) -> (9), if ((i385[5]* i385[9])∧((o1096[5]* o956[9])∧(o1097[5]* o957[9])∧(o1098[5]* o958[9]))∧(i386[5] + 1* i386[9])∧(i376[5]* i376[9]))


(6) -> (9), if ((i385[6]* i385[9])∧(i386[6] + 1* i386[9])∧((o1096[6]* o956[9])∧(o1097[6]* o957[9])∧(o1098[6]* o958[9]))∧(i376[6]* i376[9]))


(9) -> (10), if ((o956[9]* o956[10])∧((o956[9]* o956[10])∧(o957[9]* o957[10])∧(o958[9]* o958[10]))∧(i376[9]* i376[10])∧(i385[9]* i385[10])∧(i386[9]* i386[10]))


(10) -> (11), if ((o956[10]* o956[11])∧(i376[10]* i376[11])∧((o956[10]* o956[11])∧(o957[10]* o957[11])∧(o958[10]* o958[11]))∧(i385[10]* i385[11])∧(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10]* TRUE)∧(i386[10]* i386[11]))


(16) -> (12), if ((i386[16]* i386[12])∧(i385[16]* i385[12])∧((o1096[16]* o1096[12])∧(o1097[16]* o1097[12])∧(o1098[16]* o1098[12]))∧((i411[16]* i409[12])∧(i409[16]* i411[12])∧(o1161[16]* o1161[12]))∧(i376[16]* i376[12]))


(11) -> (13), if ((o956[11]* java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(i376[11]* i376[13])∧((o956[11]* o1096[13])∧(o957[11]* o1097[13])∧(o958[11]* o1098[13]))∧(i386[11]* i386[13])∧(i385[11]* i385[13]))


(12) -> (13), if (((i411[12]* i409[13])∧(o1161[12]* java.lang.Object(List(i411[13], o1161[13]))))∧(i386[12]* i386[13])∧(i385[12]* i385[13])∧((o1096[12]* o1096[13])∧(o1097[12]* o1097[13])∧(o1098[12]* o1098[13]))∧(i376[12]* i376[13]))


(14) -> (13), if ((i376[14]* i376[13])∧((o1096[14]* o1096[13])∧(o1097[14]* o1097[13])∧(o1098[14]* o1098[13]))∧(i386[14]* i386[13])∧((i411[14]* i409[13])∧(o1161[14]* java.lang.Object(List(i411[13], o1161[13]))))∧(i385[14]* i385[13]))


(13) -> (14), if ((i376[13]* i376[14])∧((o1096[13]* o1096[14])∧(o1097[13]* o1097[14])∧(o1098[13]* o1098[14]))∧((i409[13]* i409[14])∧(i411[13]* i411[14])∧(o1161[13]* o1161[14]))∧(i386[13]* i386[14])∧(i409[13] <= i411[13]* TRUE)∧(i385[13]* i385[14]))


(11) -> (15), if ((i376[11]* i376[15])∧(i386[11]* i386[15])∧(o956[11]* java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧((o956[11]* o1096[15])∧(o957[11]* o1097[15])∧(o958[11]* o1098[15]))∧(i385[11]* i385[15]))


(12) -> (15), if ((i376[12]* i376[15])∧((i411[12]* i409[15])∧(o1161[12]* java.lang.Object(List(i411[15], o1161[15]))))∧(i386[12]* i386[15])∧(i385[12]* i385[15])∧((o1096[12]* o1096[15])∧(o1097[12]* o1097[15])∧(o1098[12]* o1098[15])))


(14) -> (15), if (((o1096[14]* o1096[15])∧(o1097[14]* o1097[15])∧(o1098[14]* o1098[15]))∧(i386[14]* i386[15])∧(i385[14]* i385[15])∧((i411[14]* i409[15])∧(o1161[14]* java.lang.Object(List(i411[15], o1161[15]))))∧(i376[14]* i376[15]))


(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧((i409[15]* i409[16])∧(i411[15]* i411[16])∧(o1161[15]* o1161[16]))∧((o1096[15]* o1096[16])∧(o1097[15]* o1097[16])∧(o1098[15]* o1098[16]))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))


(11) -> (17), if ((i385[11]* i385[17])∧(o956[11]* java.lang.Object(List(i409[17], NULL)))∧((o956[11]* o1096[17])∧(o957[11]* o1097[17])∧(o958[11]* o1098[17]))∧(i386[11]* i386[17])∧(i376[11]* i376[17]))


(12) -> (17), if ((i386[12]* i386[17])∧((o1096[12]* o1096[17])∧(o1097[12]* o1097[17])∧(o1098[12]* o1098[17]))∧((i411[12]* i409[17])∧(o1161[12]* NULL))∧(i376[12]* i376[17])∧(i385[12]* i385[17]))


(14) -> (17), if (((i411[14]* i409[17])∧(o1161[14]* NULL))∧(i376[14]* i376[17])∧((o1096[14]* o1096[17])∧(o1097[14]* o1097[17])∧(o1098[14]* o1098[17]))∧(i385[14]* i385[17])∧(i386[14]* i386[17]))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(54) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs with 4 less nodes.

(55) Complex Obligation (AND)

(56) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer, Boolean


R is empty.

The integer pair graph contains the following rules and edges:
(5): RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5] + 1)
(17): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
(14): COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
(6): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6] + 1)
(11): COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
(10): LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10], java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])
(9): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])

(17) -> (5), if ((i386[17]* i386[5])∧(i385[17]* i385[5])∧(i376[17]* i376[5])∧((o1096[17]* o1096[5])∧(o1097[17]* o1097[5])∧(o1098[17]* o1098[5])))


(11) -> (6), if ((i385[11]* i385[6])∧((o956[11]* o1096[6])∧(o957[11]* o1097[6])∧(o958[11]* o1098[6]))∧(i386[11]* i386[6])∧(o956[11]* NULL)∧(i376[11]* i376[6]))


(12) -> (6), if ((i376[12]* i376[6])∧(i385[12]* i385[6])∧false∧((o1096[12]* o1096[6])∧(o1097[12]* o1097[6])∧(o1098[12]* o1098[6]))∧(i386[12]* i386[6]))


(14) -> (6), if (false∧(i376[14]* i376[6])∧(i385[14]* i385[6])∧((o1096[14]* o1096[6])∧(o1097[14]* o1097[6])∧(o1098[14]* o1098[6]))∧(i386[14]* i386[6]))


(5) -> (9), if ((i385[5]* i385[9])∧((o1096[5]* o956[9])∧(o1097[5]* o957[9])∧(o1098[5]* o958[9]))∧(i386[5] + 1* i386[9])∧(i376[5]* i376[9]))


(6) -> (9), if ((i385[6]* i385[9])∧(i386[6] + 1* i386[9])∧((o1096[6]* o956[9])∧(o1097[6]* o957[9])∧(o1098[6]* o958[9]))∧(i376[6]* i376[9]))


(9) -> (10), if ((o956[9]* o956[10])∧((o956[9]* o956[10])∧(o957[9]* o957[10])∧(o958[9]* o958[10]))∧(i376[9]* i376[10])∧(i385[9]* i385[10])∧(i386[9]* i386[10]))


(10) -> (11), if ((o956[10]* o956[11])∧(i376[10]* i376[11])∧((o956[10]* o956[11])∧(o957[10]* o957[11])∧(o958[10]* o958[11]))∧(i385[10]* i385[11])∧(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10]* TRUE)∧(i386[10]* i386[11]))


(16) -> (12), if ((i386[16]* i386[12])∧(i385[16]* i385[12])∧((o1096[16]* o1096[12])∧(o1097[16]* o1097[12])∧(o1098[16]* o1098[12]))∧((i411[16]* i409[12])∧(i409[16]* i411[12])∧(o1161[16]* o1161[12]))∧(i376[16]* i376[12]))


(11) -> (13), if ((o956[11]* java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(i376[11]* i376[13])∧((o956[11]* o1096[13])∧(o957[11]* o1097[13])∧(o958[11]* o1098[13]))∧(i386[11]* i386[13])∧(i385[11]* i385[13]))


(12) -> (13), if (((i411[12]* i409[13])∧(o1161[12]* java.lang.Object(List(i411[13], o1161[13]))))∧(i386[12]* i386[13])∧(i385[12]* i385[13])∧((o1096[12]* o1096[13])∧(o1097[12]* o1097[13])∧(o1098[12]* o1098[13]))∧(i376[12]* i376[13]))


(14) -> (13), if ((i376[14]* i376[13])∧((o1096[14]* o1096[13])∧(o1097[14]* o1097[13])∧(o1098[14]* o1098[13]))∧(i386[14]* i386[13])∧((i411[14]* i409[13])∧(o1161[14]* java.lang.Object(List(i411[13], o1161[13]))))∧(i385[14]* i385[13]))


(13) -> (14), if ((i376[13]* i376[14])∧((o1096[13]* o1096[14])∧(o1097[13]* o1097[14])∧(o1098[13]* o1098[14]))∧((i409[13]* i409[14])∧(i411[13]* i411[14])∧(o1161[13]* o1161[14]))∧(i386[13]* i386[14])∧(i409[13] <= i411[13]* TRUE)∧(i385[13]* i385[14]))


(11) -> (15), if ((i376[11]* i376[15])∧(i386[11]* i386[15])∧(o956[11]* java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧((o956[11]* o1096[15])∧(o957[11]* o1097[15])∧(o958[11]* o1098[15]))∧(i385[11]* i385[15]))


(12) -> (15), if ((i376[12]* i376[15])∧((i411[12]* i409[15])∧(o1161[12]* java.lang.Object(List(i411[15], o1161[15]))))∧(i386[12]* i386[15])∧(i385[12]* i385[15])∧((o1096[12]* o1096[15])∧(o1097[12]* o1097[15])∧(o1098[12]* o1098[15])))


(14) -> (15), if (((o1096[14]* o1096[15])∧(o1097[14]* o1097[15])∧(o1098[14]* o1098[15]))∧(i386[14]* i386[15])∧(i385[14]* i385[15])∧((i411[14]* i409[15])∧(o1161[14]* java.lang.Object(List(i411[15], o1161[15]))))∧(i376[14]* i376[15]))


(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧((i409[15]* i409[16])∧(i411[15]* i411[16])∧(o1161[15]* o1161[16]))∧((o1096[15]* o1096[16])∧(o1097[15]* o1097[16])∧(o1098[15]* o1098[16]))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))


(11) -> (17), if ((i385[11]* i385[17])∧(o956[11]* java.lang.Object(List(i409[17], NULL)))∧((o956[11]* o1096[17])∧(o957[11]* o1097[17])∧(o958[11]* o1098[17]))∧(i386[11]* i386[17])∧(i376[11]* i376[17]))


(12) -> (17), if ((i386[12]* i386[17])∧((o1096[12]* o1096[17])∧(o1097[12]* o1097[17])∧(o1098[12]* o1098[17]))∧((i411[12]* i409[17])∧(o1161[12]* NULL))∧(i376[12]* i376[17])∧(i385[12]* i385[17]))


(14) -> (17), if (((i411[14]* i409[17])∧(o1161[14]* NULL))∧(i376[14]* i376[17])∧((o1096[14]* o1096[17])∧(o1097[14]* o1097[17])∧(o1098[14]* o1098[17]))∧(i385[14]* i385[17])∧(i386[14]* i386[17]))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(57) IDPNonInfProof (SOUND transformation)

The constraints were generated the following way:
The DP Problem is simplified using the Induction Calculus [NONINF] with the following steps:
Note that final constraints are written in bold face.


For Pair RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)) the following chains were created:
  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]), RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (1)    (i385[11]=i385[17]o956[11]=java.lang.Object(List(i409[17], NULL))∧o956[11]=o1096[17]o957[11]=o1097[17]o958[11]=o1098[17]i386[11]=i386[17]i376[11]=i376[17]i386[17]=i386[5]i385[17]=i385[5]i376[17]=i376[5]o1096[17]=o1096[5]o1097[17]=o1097[5]o1098[17]=o1098[5]i385[5]=i385[9]o1096[5]=o956[9]o1097[5]=o957[9]o1098[5]=o958[9]+(i386[5], 1)=i386[9]i376[5]=i376[9]RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (1) using rules (III), (IV) which results in the following new constraint:

    (2)    (RETURN1966(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], i386[11])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], i386[11])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], +(i386[11], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (3)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_21] ≥ 0)



    We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (4)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_21] ≥ 0)



    We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (5)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_21] ≥ 0)



    We simplified constraint (5) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (6)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧[(-1)bso_21] ≥ 0)



  • We consider the chain LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]), RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (7)    (i386[12]=i386[17]o1096[12]=o1096[17]o1097[12]=o1097[17]o1098[12]=o1098[17]i411[12]=i409[17]o1161[12]=NULLi376[12]=i376[17]i385[12]=i385[17]i386[17]=i386[5]i385[17]=i385[5]i376[17]=i376[5]o1096[17]=o1096[5]o1097[17]=o1097[5]o1098[17]=o1098[5]i385[5]=i385[9]o1096[5]=o956[9]o1097[5]=o957[9]o1098[5]=o958[9]+(i386[5], 1)=i386[9]i376[5]=i376[9]RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (7) using rules (III), (IV) which results in the following new constraint:

    (8)    (RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], +(i386[12], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (8) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (9)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_21] ≥ 0)



    We simplified constraint (9) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (10)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_21] ≥ 0)



    We simplified constraint (10) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (11)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_21] ≥ 0)



    We simplified constraint (11) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (12)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧[(-1)bso_21] ≥ 0)



  • We consider the chain COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]), RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (13)    (i411[14]=i409[17]o1161[14]=NULLi376[14]=i376[17]o1096[14]=o1096[17]o1097[14]=o1097[17]o1098[14]=o1098[17]i385[14]=i385[17]i386[14]=i386[17]i386[17]=i386[5]i385[17]=i385[5]i376[17]=i376[5]o1096[17]=o1096[5]o1097[17]=o1097[5]o1098[17]=o1098[5]i385[5]=i385[9]o1096[5]=o956[9]o1097[5]=o957[9]o1098[5]=o958[9]+(i386[5], 1)=i386[9]i376[5]=i376[9]RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (13) using rules (III), (IV) which results in the following new constraint:

    (14)    (RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14])≥NonInfC∧RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14])≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], +(i386[14], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥))



    We simplified constraint (14) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (15)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_21] ≥ 0)



    We simplified constraint (15) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (16)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_21] ≥ 0)



    We simplified constraint (16) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (17)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧[(-1)bso_21] ≥ 0)



    We simplified constraint (17) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (18)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧[(-1)bso_21] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]), RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)) which results in the following constraint:

    (19)    (i386[17]=i386[5]i385[17]=i385[5]i376[17]=i376[5]o1096[17]=o1096[5]o1097[17]=o1097[5]o1098[17]=o1098[5]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL)))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL)))≥RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])∧(UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥))



    We simplified constraint (19) using rule (IV) which results in the following new constraint:

    (20)    (LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL)))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL)))≥RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])∧(UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥))



    We simplified constraint (20) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (21)    ((UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥)∧[1 + (-1)bso_23] ≥ 0)



    We simplified constraint (21) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (22)    ((UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥)∧[1 + (-1)bso_23] ≥ 0)



    We simplified constraint (22) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (23)    ((UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥)∧[1 + (-1)bso_23] ≥ 0)



    We simplified constraint (23) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (24)    ((UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_23] ≥ 0)







For Pair LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) which results in the following constraint:

    (25)    (>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (25) using rule (III) which results in the following new constraint:

    (26)    (>(i409[15], i411[15])=TRUELOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], o1161[15])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (26) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (27)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[(-1)Bound*bni_24] + [bni_24]i385[15] + [(-1)bni_24]i386[15] ≥ 0∧[(-1)bso_25] ≥ 0)



    We simplified constraint (27) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (28)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[(-1)Bound*bni_24] + [bni_24]i385[15] + [(-1)bni_24]i386[15] ≥ 0∧[(-1)bso_25] ≥ 0)



    We simplified constraint (28) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (29)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[(-1)Bound*bni_24] + [bni_24]i385[15] + [(-1)bni_24]i386[15] ≥ 0∧[(-1)bso_25] ≥ 0)



    We simplified constraint (29) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (30)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧[bni_24] = 0∧[(-1)bni_24] = 0∧[(-1)Bound*bni_24] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_25] ≥ 0)



    We simplified constraint (30) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (31)    (i409[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧[bni_24] = 0∧[(-1)bni_24] = 0∧[(-1)Bound*bni_24] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_25] ≥ 0)



    We simplified constraint (31) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (32)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧[bni_24] = 0∧[(-1)bni_24] = 0∧[(-1)Bound*bni_24] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_25] ≥ 0)


    (33)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧[bni_24] = 0∧[(-1)bni_24] = 0∧[(-1)Bound*bni_24] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_25] ≥ 0)







For Pair COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) the following chains were created:
  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) which results in the following constraint:

    (34)    (i376[11]=i376[15]i386[11]=i386[15]o956[11]=java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))∧o956[11]=o1096[15]o957[11]=o1097[15]o958[11]=o1098[15]i385[11]=i385[15]>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (34) using rules (III), (IV) which results in the following new constraint:

    (35)    (>(i409[15], i411[15])=TRUECOND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (35) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (36)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)Bound*bni_26] + [bni_26]i385[11] + [(-1)bni_26]i386[11] ≥ 0∧[(-1)bso_27] ≥ 0)



    We simplified constraint (36) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (37)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)Bound*bni_26] + [bni_26]i385[11] + [(-1)bni_26]i386[11] ≥ 0∧[(-1)bso_27] ≥ 0)



    We simplified constraint (37) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (38)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)Bound*bni_26] + [bni_26]i385[11] + [(-1)bni_26]i386[11] ≥ 0∧[(-1)bso_27] ≥ 0)



    We simplified constraint (38) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (39)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)



    We simplified constraint (39) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (40)    (i409[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)



    We simplified constraint (40) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (41)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)


    (42)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)



  • We consider the chain LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) which results in the following constraint:

    (43)    (i376[12]=i376[15]i411[12]=i409[15]o1161[12]=java.lang.Object(List(i411[15], o1161[15]))∧i386[12]=i386[15]i385[12]=i385[15]o1096[12]=o1096[15]o1097[12]=o1097[15]o1098[12]=o1098[15]>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]i386[16]=i386[12]1i385[16]=i385[12]1o1096[16]=o1096[12]1o1097[16]=o1097[12]1o1098[16]=o1098[12]1i411[16]=i409[12]1i409[16]=i411[12]1o1161[16]=o1161[12]1i376[16]=i376[12]1COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (43) using rules (III), (IV) which results in the following new constraint:

    (44)    (>(i409[15], i411[15])=TRUECOND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (44) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (45)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)Bound*bni_26] + [bni_26]i385[12] + [(-1)bni_26]i386[12] ≥ 0∧[(-1)bso_27] ≥ 0)



    We simplified constraint (45) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (46)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)Bound*bni_26] + [bni_26]i385[12] + [(-1)bni_26]i386[12] ≥ 0∧[(-1)bso_27] ≥ 0)



    We simplified constraint (46) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (47)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)Bound*bni_26] + [bni_26]i385[12] + [(-1)bni_26]i386[12] ≥ 0∧[(-1)bso_27] ≥ 0)



    We simplified constraint (47) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (48)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)



    We simplified constraint (48) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (49)    (i409[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)



    We simplified constraint (49) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (50)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)


    (51)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)



  • We consider the chain COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) which results in the following constraint:

    (52)    (o1096[14]=o1096[15]o1097[14]=o1097[15]o1098[14]=o1098[15]i386[14]=i386[15]i385[14]=i385[15]i411[14]=i409[15]o1161[14]=java.lang.Object(List(i411[15], o1161[15]))∧i376[14]=i376[15]>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (52) using rules (III), (IV) which results in the following new constraint:

    (53)    (>(i409[15], i411[15])=TRUECOND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (53) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (54)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)Bound*bni_26] + [bni_26]i385[14] + [(-1)bni_26]i386[14] ≥ 0∧[(-1)bso_27] ≥ 0)



    We simplified constraint (54) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (55)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)Bound*bni_26] + [bni_26]i385[14] + [(-1)bni_26]i386[14] ≥ 0∧[(-1)bso_27] ≥ 0)



    We simplified constraint (55) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (56)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(-1)Bound*bni_26] + [bni_26]i385[14] + [(-1)bni_26]i386[14] ≥ 0∧[(-1)bso_27] ≥ 0)



    We simplified constraint (56) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (57)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)



    We simplified constraint (57) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (58)    (i409[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)



    We simplified constraint (58) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (59)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)


    (60)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) which results in the following constraint:

    (61)    (>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥))



    We simplified constraint (61) using rule (IV) which results in the following new constraint:

    (62)    (>(i409[15], i411[15])=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥))



    We simplified constraint (62) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (63)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(-1)Bound*bni_28] + [bni_28]i385[15] + [(-1)bni_28]i386[15] ≥ 0∧[(-1)bso_29] ≥ 0)



    We simplified constraint (63) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (64)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(-1)Bound*bni_28] + [bni_28]i385[15] + [(-1)bni_28]i386[15] ≥ 0∧[(-1)bso_29] ≥ 0)



    We simplified constraint (64) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (65)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(-1)Bound*bni_28] + [bni_28]i385[15] + [(-1)bni_28]i386[15] ≥ 0∧[(-1)bso_29] ≥ 0)



    We simplified constraint (65) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (66)    (i409[15] + [-1] + [-1]i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧[bni_28] = 0∧[(-1)bni_28] = 0∧[(-1)Bound*bni_28] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_29] ≥ 0)



    We simplified constraint (66) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (67)    (i409[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧[bni_28] = 0∧[(-1)bni_28] = 0∧[(-1)Bound*bni_28] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_29] ≥ 0)



    We simplified constraint (67) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (68)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧[bni_28] = 0∧[(-1)bni_28] = 0∧[(-1)Bound*bni_28] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_29] ≥ 0)


    (69)    (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧[bni_28] = 0∧[(-1)bni_28] = 0∧[(-1)Bound*bni_28] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_29] ≥ 0)







For Pair COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) the following chains were created:
  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (70)    (o956[11]=java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))∧i376[11]=i376[13]o956[11]=o1096[13]o957[11]=o1097[13]o958[11]=o1098[13]i386[11]=i386[13]i385[11]=i385[13]i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (70) using rule (III) which results in the following new constraint:

    (71)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i411[13], o1161[13])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (71) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (72)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)Bound*bni_30] + [bni_30]i385[11] + [(-1)bni_30]i386[11] ≥ 0∧[(-1)bso_31] ≥ 0)



    We simplified constraint (72) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (73)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)Bound*bni_30] + [bni_30]i385[11] + [(-1)bni_30]i386[11] ≥ 0∧[(-1)bso_31] ≥ 0)



    We simplified constraint (73) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (74)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)Bound*bni_30] + [bni_30]i385[11] + [(-1)bni_30]i386[11] ≥ 0∧[(-1)bso_31] ≥ 0)



    We simplified constraint (74) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (75)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)



    We simplified constraint (75) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (76)    (i411[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)



    We simplified constraint (76) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (77)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)


    (78)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)



  • We consider the chain LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (79)    (i411[12]=i409[13]o1161[12]=java.lang.Object(List(i411[13], o1161[13]))∧i386[12]=i386[13]i385[12]=i385[13]o1096[12]=o1096[13]o1097[12]=o1097[13]o1098[12]=o1098[13]i376[12]=i376[13]i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (79) using rule (III) which results in the following new constraint:

    (80)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[13], o1161[13])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (80) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (81)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)Bound*bni_30] + [bni_30]i385[12] + [(-1)bni_30]i386[12] ≥ 0∧[(-1)bso_31] ≥ 0)



    We simplified constraint (81) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (82)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)Bound*bni_30] + [bni_30]i385[12] + [(-1)bni_30]i386[12] ≥ 0∧[(-1)bso_31] ≥ 0)



    We simplified constraint (82) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (83)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(-1)Bound*bni_30] + [bni_30]i385[12] + [(-1)bni_30]i386[12] ≥ 0∧[(-1)bso_31] ≥ 0)



    We simplified constraint (83) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (84)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)



    We simplified constraint (84) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (85)    (i411[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)



    We simplified constraint (85) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (86)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)


    (87)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)



  • We consider the chain COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (88)    (i376[14]=i376[13]o1096[14]=o1096[13]o1097[14]=o1097[13]o1098[14]=o1098[13]i386[14]=i386[13]i411[14]=i409[13]o1161[14]=java.lang.Object(List(i411[13], o1161[13]))∧i385[14]=i385[13]i376[13]=i376[14]1o1096[13]=o1096[14]1o1097[13]=o1097[14]1o1098[13]=o1098[14]1i409[13]=i409[14]1i411[13]=i411[14]1o1161[13]=o1161[14]1i386[13]=i386[14]1<=(i409[13], i411[13])=TRUEi385[13]=i385[14]1COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i409[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i409[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥))



    We simplified constraint (88) using rule (III) which results in the following new constraint:

    (89)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[13], o1161[13])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥))



    We simplified constraint (89) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (90)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧[(-1)Bound*bni_30] + [bni_30]i385[14] + [(-1)bni_30]i386[14] ≥ 0∧[(-1)bso_31] ≥ 0)



    We simplified constraint (90) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (91)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧[(-1)Bound*bni_30] + [bni_30]i385[14] + [(-1)bni_30]i386[14] ≥ 0∧[(-1)bso_31] ≥ 0)



    We simplified constraint (91) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (92)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧[(-1)Bound*bni_30] + [bni_30]i385[14] + [(-1)bni_30]i386[14] ≥ 0∧[(-1)bso_31] ≥ 0)



    We simplified constraint (92) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (93)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)



    We simplified constraint (93) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (94)    (i411[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)



    We simplified constraint (94) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (95)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)


    (96)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (97)    (i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥))



    We simplified constraint (97) using rule (IV) which results in the following new constraint:

    (98)    (<=(i409[13], i411[13])=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥))



    We simplified constraint (98) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (99)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(-1)Bound*bni_32] + [bni_32]i385[13] + [(-1)bni_32]i386[13] ≥ 0∧[(-1)bso_33] ≥ 0)



    We simplified constraint (99) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (100)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(-1)Bound*bni_32] + [bni_32]i385[13] + [(-1)bni_32]i386[13] ≥ 0∧[(-1)bso_33] ≥ 0)



    We simplified constraint (100) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (101)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(-1)Bound*bni_32] + [bni_32]i385[13] + [(-1)bni_32]i386[13] ≥ 0∧[(-1)bso_33] ≥ 0)



    We simplified constraint (101) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (102)    (i411[13] + [-1]i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧[bni_32] = 0∧[(-1)bni_32] = 0∧[(-1)Bound*bni_32] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_33] ≥ 0)



    We simplified constraint (102) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (103)    (i411[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧[bni_32] = 0∧[(-1)bni_32] = 0∧[(-1)Bound*bni_32] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_33] ≥ 0)



    We simplified constraint (103) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

    (104)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧[bni_32] = 0∧[(-1)bni_32] = 0∧[(-1)Bound*bni_32] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_33] ≥ 0)


    (105)    (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧[bni_32] = 0∧[(-1)bni_32] = 0∧[(-1)Bound*bni_32] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_33] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)) the following chains were created:
  • We consider the chain LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]), COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (106)    (o956[10]=o956[11]i376[10]=i376[11]o957[10]=o957[11]o958[10]=o958[11]i385[10]=i385[11]&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10]))=TRUEi386[10]=i386[11]i385[11]=i385[6]o956[11]=o1096[6]o957[11]=o1097[6]o958[11]=o1098[6]i386[11]=i386[6]o956[11]=NULLi376[11]=i376[6]i385[6]=i385[9]+(i386[6], 1)=i386[9]o1096[6]=o956[9]o1097[6]=o957[9]o1098[6]=o958[9]i376[6]=i376[9]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥))



    We simplified constraint (106) using rules (III), (IV), (IDP_CONSTANT_FOLD), (DELETE_TRIVIAL_REDUCESTO), (IDP_BOOLEAN) which results in the following new constraint:

    (107)    (<(i386[10], i385[10])=TRUE>=(i386[10], 0)=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(NULL, o957[10], o958[10]))), i376[10], i385[10], i386[10], NULL)≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(NULL, o957[10], o958[10]))), i376[10], i385[10], i386[10], NULL)≥LOAD1702(java.lang.Object(ARRAY(3, DATA(NULL, o957[10], o958[10]))), i376[10], i385[10], +(i386[10], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥))



    We simplified constraint (107) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (108)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)Bound*bni_34] + [bni_34]i385[10] + [(-1)bni_34]i386[10] ≥ 0∧[1 + (-1)bso_35] ≥ 0)



    We simplified constraint (108) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (109)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)Bound*bni_34] + [bni_34]i385[10] + [(-1)bni_34]i386[10] ≥ 0∧[1 + (-1)bso_35] ≥ 0)



    We simplified constraint (109) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (110)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)Bound*bni_34] + [bni_34]i385[10] + [(-1)bni_34]i386[10] ≥ 0∧[1 + (-1)bso_35] ≥ 0)



    We simplified constraint (110) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (111)    (i385[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)Bound*bni_34 + bni_34] + [bni_34]i385[10] ≥ 0∧[1 + (-1)bso_35] ≥ 0)



  • We consider the chain COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (112)    (LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥))



    We simplified constraint (112) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (113)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[1 + (-1)bso_35] ≥ 0)



    We simplified constraint (113) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (114)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[1 + (-1)bso_35] ≥ 0)



    We simplified constraint (114) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (115)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[1 + (-1)bso_35] ≥ 0)



    We simplified constraint (115) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (116)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧0 = 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)



  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) which results in the following constraint:

    (117)    (LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL)≥LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))∧(UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥))



    We simplified constraint (117) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (118)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[1 + (-1)bso_35] ≥ 0)



    We simplified constraint (118) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (119)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[1 + (-1)bso_35] ≥ 0)



    We simplified constraint (119) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (120)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[1 + (-1)bso_35] ≥ 0)



    We simplified constraint (120) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (121)    ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧0 = 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)







For Pair COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) the following chains were created:
  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)) which results in the following constraint:

    (122)    (i385[11]=i385[6]o956[11]=o1096[6]o957[11]=o1097[6]o958[11]=o1098[6]i386[11]=i386[6]o956[11]=NULLi376[11]=i376[6]COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (122) using rules (III), (IV) which results in the following new constraint:

    (123)    (COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], i386[11], NULL)≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], i386[11], NULL)≥LOAD1948(java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], i386[11], NULL)∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (123) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (124)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_37] ≥ 0)



    We simplified constraint (124) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (125)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_37] ≥ 0)



    We simplified constraint (125) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (126)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_37] ≥ 0)



    We simplified constraint (126) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (127)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)



  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) which results in the following constraint:

    (128)    (o956[11]=java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))∧i376[11]=i376[13]o956[11]=o1096[13]o957[11]=o1097[13]o958[11]=o1098[13]i386[11]=i386[13]i385[11]=i385[13]COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (128) using rules (III), (IV) which results in the following new constraint:

    (129)    (COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (129) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (130)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_37] ≥ 0)



    We simplified constraint (130) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (131)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_37] ≥ 0)



    We simplified constraint (131) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (132)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_37] ≥ 0)



    We simplified constraint (132) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (133)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)



  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) which results in the following constraint:

    (134)    (i376[11]=i376[15]i386[11]=i386[15]o956[11]=java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))∧o956[11]=o1096[15]o957[11]=o1097[15]o958[11]=o1098[15]i385[11]=i385[15]COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (134) using rules (III), (IV) which results in the following new constraint:

    (135)    (COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (135) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (136)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_37] ≥ 0)



    We simplified constraint (136) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (137)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_37] ≥ 0)



    We simplified constraint (137) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (138)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_37] ≥ 0)



    We simplified constraint (138) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (139)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)



  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]) which results in the following constraint:

    (140)    (i385[11]=i385[17]o956[11]=java.lang.Object(List(i409[17], NULL))∧o956[11]=o1096[17]o957[11]=o1097[17]o958[11]=o1098[17]i386[11]=i386[17]i376[11]=i376[17]COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (140) using rules (III), (IV) which results in the following new constraint:

    (141)    (COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[17], NULL)))≥NonInfC∧COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[17], NULL)))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(java.lang.Object(List(i409[17], NULL)), o957[11], o958[11]))), i376[11], i385[11], i386[11], java.lang.Object(List(i409[17], NULL)))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥))



    We simplified constraint (141) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (142)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_37] ≥ 0)



    We simplified constraint (142) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (143)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_37] ≥ 0)



    We simplified constraint (143) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (144)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧[(-1)bso_37] ≥ 0)



    We simplified constraint (144) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (145)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)







For Pair LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) the following chains were created:
  • We consider the chain LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]), COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) which results in the following constraint:

    (146)    (o956[10]=o956[11]i376[10]=i376[11]o957[10]=o957[11]o958[10]=o958[11]i385[10]=i385[11]&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10]))=TRUEi386[10]=i386[11]LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])≥NonInfC∧LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])≥COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])∧(UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥))



    We simplified constraint (146) using rules (IV), (IDP_CONSTANT_FOLD), (DELETE_TRIVIAL_REDUCESTO), (IDP_BOOLEAN) which results in the following new constraint:

    (147)    (<(i386[10], i385[10])=TRUE>=(i386[10], 0)=TRUELOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])≥NonInfC∧LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])≥COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])∧(UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥))



    We simplified constraint (147) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (148)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)Bound*bni_38] + [bni_38]i385[10] + [(-1)bni_38]i386[10] ≥ 0∧[(-1)bso_39] ≥ 0)



    We simplified constraint (148) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (149)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)Bound*bni_38] + [bni_38]i385[10] + [(-1)bni_38]i386[10] ≥ 0∧[(-1)bso_39] ≥ 0)



    We simplified constraint (149) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (150)    (i385[10] + [-1] + [-1]i386[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)Bound*bni_38] + [bni_38]i385[10] + [(-1)bni_38]i386[10] ≥ 0∧[(-1)bso_39] ≥ 0)



    We simplified constraint (150) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (151)    (i385[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)Bound*bni_38 + bni_38] + [bni_38]i385[10] ≥ 0∧[(-1)bso_39] ≥ 0)







For Pair LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17]), RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]), LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) which results in the following constraint:

    (152)    (i386[17]=i386[5]i385[17]=i385[5]i376[17]=i376[5]o1096[17]=o1096[5]o1097[17]=o1097[5]o1098[17]=o1098[5]i385[5]=i385[9]o1096[5]=o956[9]o1097[5]=o957[9]o1098[5]=o958[9]+(i386[5], 1)=i386[9]i376[5]=i376[9]o956[9]=o956[10]o957[9]=o957[10]o958[9]=o958[10]i376[9]=i376[10]i385[9]=i385[10]i386[9]=i386[10]LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (152) using rules (III), (IV) which results in the following new constraint:

    (153)    (LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], +(i386[5], 1))≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], +(i386[5], 1))≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], +(i386[5], 1), o1096[17])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (153) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (154)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_41] ≥ 0)



    We simplified constraint (154) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (155)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_41] ≥ 0)



    We simplified constraint (155) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (156)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_41] ≥ 0)



    We simplified constraint (156) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (157)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)



  • We consider the chain COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]), LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) which results in the following constraint:

    (158)    (i385[11]=i385[6]o956[11]=o1096[6]o957[11]=o1097[6]o958[11]=o1098[6]i386[11]=i386[6]o956[11]=NULLi376[11]=i376[6]i385[6]=i385[9]+(i386[6], 1)=i386[9]o1096[6]=o956[9]o1097[6]=o957[9]o1098[6]=o958[9]i376[6]=i376[9]o956[9]=o956[10]o957[9]=o957[10]o958[9]=o958[10]i376[9]=i376[10]i385[9]=i385[10]i386[9]=i386[10]LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (158) using rules (III), (IV) which results in the following new constraint:

    (159)    (LOAD1702(java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], +(i386[6], 1))≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], +(i386[6], 1))≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(NULL, o957[11], o958[11]))), i376[11], i385[11], +(i386[6], 1), NULL)∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (159) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (160)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_41] ≥ 0)



    We simplified constraint (160) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (161)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_41] ≥ 0)



    We simplified constraint (161) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (162)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_41] ≥ 0)



    We simplified constraint (162) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (163)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)



  • We consider the chain LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]), LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) which results in the following constraint:

    (164)    (LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (164) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (165)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_41] ≥ 0)



    We simplified constraint (165) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (166)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_41] ≥ 0)



    We simplified constraint (166) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (167)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_41] ≥ 0)



    We simplified constraint (167) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (168)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)



  • We consider the chain COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1)), LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9]), LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) which results in the following constraint:

    (169)    (LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥NonInfC∧LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9])≥LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])∧(UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥))



    We simplified constraint (169) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (170)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_41] ≥ 0)



    We simplified constraint (170) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (171)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_41] ≥ 0)



    We simplified constraint (171) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (172)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧[(-1)bso_41] ≥ 0)



    We simplified constraint (172) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (173)    ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧[(-1)bso_21] ≥ 0)
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧[(-1)bso_21] ≥ 0)
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))), ≥)∧0 = 0∧0 = 0∧[(-1)bso_21] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])
    • ((UIncreasing(RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_23] ≥ 0)

  • LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧[bni_24] = 0∧[(-1)bni_24] = 0∧[(-1)Bound*bni_24] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_25] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 = 0∧[bni_24] = 0∧[(-1)bni_24] = 0∧[(-1)Bound*bni_24] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_25] ≥ 0)

  • COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧0 = 0∧[bni_26] = 0∧[(-1)bni_26] = 0∧[(-1)Bound*bni_26] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_27] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧[bni_28] = 0∧[(-1)bni_28] = 0∧[(-1)Bound*bni_28] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_29] ≥ 0)
    • (i409[15] ≥ 0∧i411[15] ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧0 = 0∧[bni_28] = 0∧[(-1)bni_28] = 0∧[(-1)Bound*bni_28] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_29] ≥ 0)

  • COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14]1, o1097[14]1, o1098[14]1))), i376[14]1, i385[14]1, i386[14]1, java.lang.Object(List(i411[14]1, o1161[14]1)))), ≥)∧0 = 0∧[bni_30] = 0∧[(-1)bni_30] = 0∧[(-1)Bound*bni_30] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧[bni_32] = 0∧[(-1)bni_32] = 0∧[(-1)Bound*bni_32] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_33] ≥ 0)
    • (i411[13] ≥ 0∧i409[13] ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧0 = 0∧[bni_32] = 0∧[(-1)bni_32] = 0∧[(-1)Bound*bni_32] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_33] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))
    • (i385[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧[(-1)Bound*bni_34 + bni_34] + [bni_34]i385[10] ≥ 0∧[1 + (-1)bso_35] ≥ 0)
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧0 = 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)
    • ((UIncreasing(LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))), ≥)∧0 = 0∧0 = 0∧[1 + (-1)bso_35] ≥ 0)

  • COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)

  • LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])
    • (i385[10] ≥ 0∧i386[10] ≥ 0 ⇒ (UIncreasing(COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])), ≥)∧[(-1)Bound*bni_38 + bni_38] + [bni_38]i385[10] ≥ 0∧[(-1)bso_39] ≥ 0)

  • LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])
    • ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)
    • ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)
    • ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)
    • ((UIncreasing(LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])), ≥)∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)




The constraints for P> respective Pbound are constructed from P where we just replace every occurence of "t ≥ s" in P by "t > s" respective "t ≥ c". Here c stands for the fresh constant used for Pbound.
Using the following integer polynomial ordering the resulting constraints can be solved
Polynomial interpretation over integers[POLO]:

POL(TRUE) = 0   
POL(FALSE) = 0   
POL(RETURN1966(x1, x2, x3, x4)) = [-1] + x3 + [-1]x4   
POL(java.lang.Object(x1)) = x1   
POL(ARRAY(x1, x2)) = [1]   
POL(3) = [3]   
POL(DATA(x1, x2, x3)) = [-1]   
POL(LOAD1702(x1, x2, x3, x4)) = [-1]x4 + x3   
POL(+(x1, x2)) = x1 + x2   
POL(1) = [1]   
POL(LOAD1948(x1, x2, x3, x4, x5)) = [-1] + [-1]x5 + x3 + [-1]x4   
POL(List(x1, x2)) = [-1]   
POL(NULL) = [-1]   
POL(LOAD2114(x1, x2, x3, x4, x5)) = [-1] + [-1]x5 + x3 + [-1]x4   
POL(COND_LOAD19481(x1, x2, x3, x4, x5, x6)) = [-1] + [-1]x6 + x4 + [-1]x5   
POL(>(x1, x2)) = [-1]   
POL(COND_LOAD1948(x1, x2, x3, x4, x5, x6)) = [-1] + [-1]x6 + x4 + [-1]x5   
POL(<=(x1, x2)) = [-1]   
POL(COND_LOAD1702ARR2(x1, x2, x3, x4, x5, x6)) = x4 + [-1]x5   
POL(LOAD1702ARR2(x1, x2, x3, x4, x5)) = x3 + [-1]x4   
POL(&&(x1, x2)) = [-1]   
POL(>=(x1, x2)) = [-1]   
POL(0) = 0   
POL(<(x1, x2)) = [-1]   

The following pairs are in P>:

LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], +(i386[6], 1))

The following pairs are in Pbound:

LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])

The following pairs are in P:

RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], +(i386[5], 1))
LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(&&(&&(&&(>=(0, 0), <(0, 3)), >=(i386[10], 0)), <(i386[10], i385[10])), java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])
LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])

There are no usable rules.

(58) Complex Obligation (AND)

(59) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer, Boolean


R is empty.

The integer pair graph contains the following rules and edges:
(5): RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5] + 1)
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
(14): COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
(11): COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
(10): LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10]) → COND_LOAD1702ARR2(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10], java.lang.Object(ARRAY(3, DATA(o956[10], o957[10], o958[10]))), i376[10], i385[10], i386[10], o956[10])
(9): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])

(5) -> (9), if ((i385[5]* i385[9])∧((o1096[5]* o956[9])∧(o1097[5]* o957[9])∧(o1098[5]* o958[9]))∧(i386[5] + 1* i386[9])∧(i376[5]* i376[9]))


(9) -> (10), if ((o956[9]* o956[10])∧((o956[9]* o956[10])∧(o957[9]* o957[10])∧(o958[9]* o958[10]))∧(i376[9]* i376[10])∧(i385[9]* i385[10])∧(i386[9]* i386[10]))


(10) -> (11), if ((o956[10]* o956[11])∧(i376[10]* i376[11])∧((o956[10]* o956[11])∧(o957[10]* o957[11])∧(o958[10]* o958[11]))∧(i385[10]* i385[11])∧(0 >= 0 && 0 < 3 && i386[10] >= 0 && i386[10] < i385[10]* TRUE)∧(i386[10]* i386[11]))


(16) -> (12), if ((i386[16]* i386[12])∧(i385[16]* i385[12])∧((o1096[16]* o1096[12])∧(o1097[16]* o1097[12])∧(o1098[16]* o1098[12]))∧((i411[16]* i409[12])∧(i409[16]* i411[12])∧(o1161[16]* o1161[12]))∧(i376[16]* i376[12]))


(11) -> (13), if ((o956[11]* java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(i376[11]* i376[13])∧((o956[11]* o1096[13])∧(o957[11]* o1097[13])∧(o958[11]* o1098[13]))∧(i386[11]* i386[13])∧(i385[11]* i385[13]))


(12) -> (13), if (((i411[12]* i409[13])∧(o1161[12]* java.lang.Object(List(i411[13], o1161[13]))))∧(i386[12]* i386[13])∧(i385[12]* i385[13])∧((o1096[12]* o1096[13])∧(o1097[12]* o1097[13])∧(o1098[12]* o1098[13]))∧(i376[12]* i376[13]))


(14) -> (13), if ((i376[14]* i376[13])∧((o1096[14]* o1096[13])∧(o1097[14]* o1097[13])∧(o1098[14]* o1098[13]))∧(i386[14]* i386[13])∧((i411[14]* i409[13])∧(o1161[14]* java.lang.Object(List(i411[13], o1161[13]))))∧(i385[14]* i385[13]))


(13) -> (14), if ((i376[13]* i376[14])∧((o1096[13]* o1096[14])∧(o1097[13]* o1097[14])∧(o1098[13]* o1098[14]))∧((i409[13]* i409[14])∧(i411[13]* i411[14])∧(o1161[13]* o1161[14]))∧(i386[13]* i386[14])∧(i409[13] <= i411[13]* TRUE)∧(i385[13]* i385[14]))


(11) -> (15), if ((i376[11]* i376[15])∧(i386[11]* i386[15])∧(o956[11]* java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧((o956[11]* o1096[15])∧(o957[11]* o1097[15])∧(o958[11]* o1098[15]))∧(i385[11]* i385[15]))


(12) -> (15), if ((i376[12]* i376[15])∧((i411[12]* i409[15])∧(o1161[12]* java.lang.Object(List(i411[15], o1161[15]))))∧(i386[12]* i386[15])∧(i385[12]* i385[15])∧((o1096[12]* o1096[15])∧(o1097[12]* o1097[15])∧(o1098[12]* o1098[15])))


(14) -> (15), if (((o1096[14]* o1096[15])∧(o1097[14]* o1097[15])∧(o1098[14]* o1098[15]))∧(i386[14]* i386[15])∧(i385[14]* i385[15])∧((i411[14]* i409[15])∧(o1161[14]* java.lang.Object(List(i411[15], o1161[15]))))∧(i376[14]* i376[15]))


(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧((i409[15]* i409[16])∧(i411[15]* i411[16])∧(o1161[15]* o1161[16]))∧((o1096[15]* o1096[16])∧(o1097[15]* o1097[16])∧(o1098[15]* o1098[16]))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(60) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 4 less nodes.

(61) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
(14): COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))

(16) -> (12), if ((i386[16]* i386[12])∧(i385[16]* i385[12])∧((o1096[16]* o1096[12])∧(o1097[16]* o1097[12])∧(o1098[16]* o1098[12]))∧((i411[16]* i409[12])∧(i409[16]* i411[12])∧(o1161[16]* o1161[12]))∧(i376[16]* i376[12]))


(12) -> (13), if (((i411[12]* i409[13])∧(o1161[12]* java.lang.Object(List(i411[13], o1161[13]))))∧(i386[12]* i386[13])∧(i385[12]* i385[13])∧((o1096[12]* o1096[13])∧(o1097[12]* o1097[13])∧(o1098[12]* o1098[13]))∧(i376[12]* i376[13]))


(14) -> (13), if ((i376[14]* i376[13])∧((o1096[14]* o1096[13])∧(o1097[14]* o1097[13])∧(o1098[14]* o1098[13]))∧(i386[14]* i386[13])∧((i411[14]* i409[13])∧(o1161[14]* java.lang.Object(List(i411[13], o1161[13]))))∧(i385[14]* i385[13]))


(13) -> (14), if ((i376[13]* i376[14])∧((o1096[13]* o1096[14])∧(o1097[13]* o1097[14])∧(o1098[13]* o1098[14]))∧((i409[13]* i409[14])∧(i411[13]* i411[14])∧(o1161[13]* o1161[14]))∧(i386[13]* i386[14])∧(i409[13] <= i411[13]* TRUE)∧(i385[13]* i385[14]))


(12) -> (15), if ((i376[12]* i376[15])∧((i411[12]* i409[15])∧(o1161[12]* java.lang.Object(List(i411[15], o1161[15]))))∧(i386[12]* i386[15])∧(i385[12]* i385[15])∧((o1096[12]* o1096[15])∧(o1097[12]* o1097[15])∧(o1098[12]* o1098[15])))


(14) -> (15), if (((o1096[14]* o1096[15])∧(o1097[14]* o1097[15])∧(o1098[14]* o1098[15]))∧(i386[14]* i386[15])∧(i385[14]* i385[15])∧((i411[14]* i409[15])∧(o1161[14]* java.lang.Object(List(i411[15], o1161[15]))))∧(i376[14]* i376[15]))


(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧((i409[15]* i409[16])∧(i411[15]* i411[16])∧(o1161[15]* o1161[16]))∧((o1096[15]* o1096[16])∧(o1097[15]* o1097[16])∧(o1098[15]* o1098[16]))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(62) IDPNonInfProof (SOUND transformation)

The constraints were generated the following way:
The DP Problem is simplified using the Induction Calculus [NONINF] with the following steps:
Note that final constraints are written in bold face.


For Pair LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) the following chains were created:
  • We consider the chain COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) which results in the following constraint:

    (1)    (i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]i411[12]=i409[13]o1161[12]=java.lang.Object(List(i411[13], o1161[13]))∧i386[12]=i386[13]i385[12]=i385[13]o1096[12]=o1096[13]o1097[12]=o1097[13]o1098[12]=o1098[13]i376[12]=i376[13]LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (1) using rules (III), (IV) which results in the following new constraint:

    (2)    (LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[13], o1161[13])))))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[13], o1161[13])))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (3)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[2 + (-1)bso_40] ≥ 0)



    We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (4)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[2 + (-1)bso_40] ≥ 0)



    We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (5)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[2 + (-1)bso_40] ≥ 0)



    We simplified constraint (5) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (6)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[2 + (-1)bso_40] ≥ 0)



  • We consider the chain COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) which results in the following constraint:

    (7)    (i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]i376[12]=i376[15]i411[12]=i409[15]o1161[12]=java.lang.Object(List(i411[15], o1161[15]))∧i386[12]=i386[15]i385[12]=i385[15]o1096[12]=o1096[15]o1097[12]=o1097[15]o1098[12]=o1098[15]LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (7) using rules (III), (IV) which results in the following new constraint:

    (8)    (LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[15], o1161[15])))))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[15], o1161[15])))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (8) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (9)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[2 + (-1)bso_40] ≥ 0)



    We simplified constraint (9) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (10)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[2 + (-1)bso_40] ≥ 0)



    We simplified constraint (10) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (11)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[2 + (-1)bso_40] ≥ 0)



    We simplified constraint (11) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (12)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[2 + (-1)bso_40] ≥ 0)







For Pair COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) which results in the following constraint:

    (13)    (>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (13) using rules (III), (IV) which results in the following new constraint:

    (14)    (>(i409[15], i411[15])=TRUECOND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (14) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (15)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(8)bni_41 + (-1)Bound*bni_41] + [bni_41]o1161[15] + [(2)bni_41]i386[15] ≥ 0∧[(-1)bso_42] ≥ 0)



    We simplified constraint (15) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (16)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(8)bni_41 + (-1)Bound*bni_41] + [bni_41]o1161[15] + [(2)bni_41]i386[15] ≥ 0∧[(-1)bso_42] ≥ 0)



    We simplified constraint (16) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (17)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(8)bni_41 + (-1)Bound*bni_41] + [bni_41]o1161[15] + [(2)bni_41]i386[15] ≥ 0∧[(-1)bso_42] ≥ 0)



    We simplified constraint (17) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (18)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(2)bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(8)bni_41 + (-1)Bound*bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_42] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) which results in the following constraint:

    (19)    (>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥))



    We simplified constraint (19) using rule (IV) which results in the following new constraint:

    (20)    (>(i409[15], i411[15])=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥))



    We simplified constraint (20) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (21)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(8)bni_43 + (-1)Bound*bni_43] + [bni_43]o1161[15] + [(2)bni_43]i386[15] ≥ 0∧[(-1)bso_44] ≥ 0)



    We simplified constraint (21) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (22)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(8)bni_43 + (-1)Bound*bni_43] + [bni_43]o1161[15] + [(2)bni_43]i386[15] ≥ 0∧[(-1)bso_44] ≥ 0)



    We simplified constraint (22) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (23)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(8)bni_43 + (-1)Bound*bni_43] + [bni_43]o1161[15] + [(2)bni_43]i386[15] ≥ 0∧[(-1)bso_44] ≥ 0)



    We simplified constraint (23) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (24)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(2)bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(8)bni_43 + (-1)Bound*bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_44] ≥ 0)







For Pair COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) which results in the following constraint:

    (25)    (i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]i376[14]=i376[13]1o1096[14]=o1096[13]1o1097[14]=o1097[13]1o1098[14]=o1098[13]1i386[14]=i386[13]1i411[14]=i409[13]1o1161[14]=java.lang.Object(List(i411[13]1, o1161[13]1))∧i385[14]=i385[13]1COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (25) using rules (III), (IV) which results in the following new constraint:

    (26)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[13]1, o1161[13]1)))))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[13]1, o1161[13]1)))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[13]1, o1161[13]1)))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (26) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (27)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(9)bni_45 + (-1)Bound*bni_45] + [bni_45]o1161[13]1 + [(2)bni_45]i386[13] ≥ 0∧[1 + (-1)bso_46] ≥ 0)



    We simplified constraint (27) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (28)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(9)bni_45 + (-1)Bound*bni_45] + [bni_45]o1161[13]1 + [(2)bni_45]i386[13] ≥ 0∧[1 + (-1)bso_46] ≥ 0)



    We simplified constraint (28) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (29)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(9)bni_45 + (-1)Bound*bni_45] + [bni_45]o1161[13]1 + [(2)bni_45]i386[13] ≥ 0∧[1 + (-1)bso_46] ≥ 0)



    We simplified constraint (29) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (30)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(2)bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(9)bni_45 + (-1)Bound*bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_46] ≥ 0)



  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) which results in the following constraint:

    (31)    (i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]o1096[14]=o1096[15]o1097[14]=o1097[15]o1098[14]=o1098[15]i386[14]=i386[15]i385[14]=i385[15]i411[14]=i409[15]o1161[14]=java.lang.Object(List(i411[15], o1161[15]))∧i376[14]=i376[15]COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (31) using rules (III), (IV) which results in the following new constraint:

    (32)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[15], o1161[15])))))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[15], o1161[15])))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (32) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (33)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(9)bni_45 + (-1)Bound*bni_45] + [bni_45]o1161[15] + [(2)bni_45]i386[13] ≥ 0∧[1 + (-1)bso_46] ≥ 0)



    We simplified constraint (33) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (34)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(9)bni_45 + (-1)Bound*bni_45] + [bni_45]o1161[15] + [(2)bni_45]i386[13] ≥ 0∧[1 + (-1)bso_46] ≥ 0)



    We simplified constraint (34) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (35)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(9)bni_45 + (-1)Bound*bni_45] + [bni_45]o1161[15] + [(2)bni_45]i386[13] ≥ 0∧[1 + (-1)bso_46] ≥ 0)



    We simplified constraint (35) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (36)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(2)bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(9)bni_45 + (-1)Bound*bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_46] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (37)    (i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥))



    We simplified constraint (37) using rule (IV) which results in the following new constraint:

    (38)    (<=(i409[13], i411[13])=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥))



    We simplified constraint (38) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (39)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(8)bni_47 + (-1)Bound*bni_47] + [bni_47]o1161[13] + [(2)bni_47]i386[13] ≥ 0∧[1 + (-1)bso_48] ≥ 0)



    We simplified constraint (39) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (40)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(8)bni_47 + (-1)Bound*bni_47] + [bni_47]o1161[13] + [(2)bni_47]i386[13] ≥ 0∧[1 + (-1)bso_48] ≥ 0)



    We simplified constraint (40) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (41)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(8)bni_47 + (-1)Bound*bni_47] + [bni_47]o1161[13] + [(2)bni_47]i386[13] ≥ 0∧[1 + (-1)bso_48] ≥ 0)



    We simplified constraint (41) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (42)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[bni_47] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(2)bni_47] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(8)bni_47 + (-1)Bound*bni_47] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_48] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[2 + (-1)bso_40] ≥ 0)
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[2 + (-1)bso_40] ≥ 0)

  • COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(2)bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(8)bni_41 + (-1)Bound*bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_42] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(2)bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(8)bni_43 + (-1)Bound*bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_44] ≥ 0)

  • COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(2)bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(9)bni_45 + (-1)Bound*bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_46] ≥ 0)
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(2)bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(9)bni_45 + (-1)Bound*bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_46] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[bni_47] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(2)bni_47] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(8)bni_47 + (-1)Bound*bni_47] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_48] ≥ 0)




The constraints for P> respective Pbound are constructed from P where we just replace every occurence of "t ≥ s" in P by "t > s" respective "t ≥ c". Here c stands for the fresh constant used for Pbound.
Using the following integer polynomial ordering the resulting constraints can be solved
Polynomial interpretation over integers with natural coefficients for all symbols [NONINF][POLO]:

POL(TRUE) = 0   
POL(FALSE) = 0   
POL(LOAD2114(x1, x2, x3, x4, x5)) = [2] + x5 + [2]x4 + x1   
POL(java.lang.Object(x1)) = [2] + x1   
POL(ARRAY(x1, x2)) = 0   
POL(3) = 0   
POL(DATA(x1, x2, x3)) = 0   
POL(List(x1, x2)) = x2   
POL(LOAD1948(x1, x2, x3, x4, x5)) = x5 + [2]x4 + [2]x1   
POL(COND_LOAD19481(x1, x2, x3, x4, x5, x6)) = x6 + [2]x5 + [2]x2   
POL(>(x1, x2)) = 0   
POL(COND_LOAD1948(x1, x2, x3, x4, x5, x6)) = [3] + x6 + [2]x5   
POL(<=(x1, x2)) = 0   

The following pairs are in P>:

LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))

The following pairs are in Pbound:

COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))

The following pairs are in P:

COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))

There are no usable rules.

(63) Complex Obligation (AND)

(64) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))

(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧((i409[15]* i409[16])∧(i411[15]* i411[16])∧(o1161[15]* o1161[16]))∧((o1096[15]* o1096[16])∧(o1097[15]* o1097[16])∧(o1098[15]* o1098[16]))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(65) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 2 less nodes.

(66) TRUE

(67) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:
none


R is empty.

The integer pair graph contains the following rules and edges:
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))


The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(68) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(69) TRUE

(70) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(5): RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5]) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[5], o1097[5], o1098[5]))), i376[5], i385[5], i386[5] + 1)
(17): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17], java.lang.Object(List(i409[17], NULL))) → RETURN1966(java.lang.Object(ARRAY(3, DATA(o1096[17], o1097[17], o1098[17]))), i376[17], i385[17], i386[17])
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
(14): COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
(6): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6], NULL) → LOAD1702(java.lang.Object(ARRAY(3, DATA(o1096[6], o1097[6], o1098[6]))), i376[6], i385[6], i386[6] + 1)
(11): COND_LOAD1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11]) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o956[11], o957[11], o958[11]))), i376[11], i385[11], i386[11], o956[11])
(9): LOAD1702(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9]) → LOAD1702ARR2(java.lang.Object(ARRAY(3, DATA(o956[9], o957[9], o958[9]))), i376[9], i385[9], i386[9], o956[9])

(17) -> (5), if ((i386[17]* i386[5])∧(i385[17]* i385[5])∧(i376[17]* i376[5])∧((o1096[17]* o1096[5])∧(o1097[17]* o1097[5])∧(o1098[17]* o1098[5])))


(11) -> (6), if ((i385[11]* i385[6])∧((o956[11]* o1096[6])∧(o957[11]* o1097[6])∧(o958[11]* o1098[6]))∧(i386[11]* i386[6])∧(o956[11]* NULL)∧(i376[11]* i376[6]))


(12) -> (6), if ((i376[12]* i376[6])∧(i385[12]* i385[6])∧false∧((o1096[12]* o1096[6])∧(o1097[12]* o1097[6])∧(o1098[12]* o1098[6]))∧(i386[12]* i386[6]))


(14) -> (6), if (false∧(i376[14]* i376[6])∧(i385[14]* i385[6])∧((o1096[14]* o1096[6])∧(o1097[14]* o1097[6])∧(o1098[14]* o1098[6]))∧(i386[14]* i386[6]))


(5) -> (9), if ((i385[5]* i385[9])∧((o1096[5]* o956[9])∧(o1097[5]* o957[9])∧(o1098[5]* o958[9]))∧(i386[5] + 1* i386[9])∧(i376[5]* i376[9]))


(6) -> (9), if ((i385[6]* i385[9])∧(i386[6] + 1* i386[9])∧((o1096[6]* o956[9])∧(o1097[6]* o957[9])∧(o1098[6]* o958[9]))∧(i376[6]* i376[9]))


(16) -> (12), if ((i386[16]* i386[12])∧(i385[16]* i385[12])∧((o1096[16]* o1096[12])∧(o1097[16]* o1097[12])∧(o1098[16]* o1098[12]))∧((i411[16]* i409[12])∧(i409[16]* i411[12])∧(o1161[16]* o1161[12]))∧(i376[16]* i376[12]))


(11) -> (13), if ((o956[11]* java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(i376[11]* i376[13])∧((o956[11]* o1096[13])∧(o957[11]* o1097[13])∧(o958[11]* o1098[13]))∧(i386[11]* i386[13])∧(i385[11]* i385[13]))


(12) -> (13), if (((i411[12]* i409[13])∧(o1161[12]* java.lang.Object(List(i411[13], o1161[13]))))∧(i386[12]* i386[13])∧(i385[12]* i385[13])∧((o1096[12]* o1096[13])∧(o1097[12]* o1097[13])∧(o1098[12]* o1098[13]))∧(i376[12]* i376[13]))


(14) -> (13), if ((i376[14]* i376[13])∧((o1096[14]* o1096[13])∧(o1097[14]* o1097[13])∧(o1098[14]* o1098[13]))∧(i386[14]* i386[13])∧((i411[14]* i409[13])∧(o1161[14]* java.lang.Object(List(i411[13], o1161[13]))))∧(i385[14]* i385[13]))


(13) -> (14), if ((i376[13]* i376[14])∧((o1096[13]* o1096[14])∧(o1097[13]* o1097[14])∧(o1098[13]* o1098[14]))∧((i409[13]* i409[14])∧(i411[13]* i411[14])∧(o1161[13]* o1161[14]))∧(i386[13]* i386[14])∧(i409[13] <= i411[13]* TRUE)∧(i385[13]* i385[14]))


(11) -> (15), if ((i376[11]* i376[15])∧(i386[11]* i386[15])∧(o956[11]* java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧((o956[11]* o1096[15])∧(o957[11]* o1097[15])∧(o958[11]* o1098[15]))∧(i385[11]* i385[15]))


(12) -> (15), if ((i376[12]* i376[15])∧((i411[12]* i409[15])∧(o1161[12]* java.lang.Object(List(i411[15], o1161[15]))))∧(i386[12]* i386[15])∧(i385[12]* i385[15])∧((o1096[12]* o1096[15])∧(o1097[12]* o1097[15])∧(o1098[12]* o1098[15])))


(14) -> (15), if (((o1096[14]* o1096[15])∧(o1097[14]* o1097[15])∧(o1098[14]* o1098[15]))∧(i386[14]* i386[15])∧(i385[14]* i385[15])∧((i411[14]* i409[15])∧(o1161[14]* java.lang.Object(List(i411[15], o1161[15]))))∧(i376[14]* i376[15]))


(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧((i409[15]* i409[16])∧(i411[15]* i411[16])∧(o1161[15]* o1161[16]))∧((o1096[15]* o1096[16])∧(o1097[15]* o1097[16])∧(o1098[15]* o1098[16]))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))


(11) -> (17), if ((i385[11]* i385[17])∧(o956[11]* java.lang.Object(List(i409[17], NULL)))∧((o956[11]* o1096[17])∧(o957[11]* o1097[17])∧(o958[11]* o1098[17]))∧(i386[11]* i386[17])∧(i376[11]* i376[17]))


(12) -> (17), if ((i386[12]* i386[17])∧((o1096[12]* o1096[17])∧(o1097[12]* o1097[17])∧(o1098[12]* o1098[17]))∧((i411[12]* i409[17])∧(o1161[12]* NULL))∧(i376[12]* i376[17])∧(i385[12]* i385[17]))


(14) -> (17), if (((i411[14]* i409[17])∧(o1161[14]* NULL))∧(i376[14]* i376[17])∧((o1096[14]* o1096[17])∧(o1097[14]* o1097[17])∧(o1098[14]* o1098[17]))∧(i385[14]* i385[17])∧(i386[14]* i386[17]))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(71) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 5 less nodes.

(72) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(16): COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
(15): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(i409[15] > i411[15], java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
(14): COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))

(16) -> (12), if ((i386[16]* i386[12])∧(i385[16]* i385[12])∧((o1096[16]* o1096[12])∧(o1097[16]* o1097[12])∧(o1098[16]* o1098[12]))∧((i411[16]* i409[12])∧(i409[16]* i411[12])∧(o1161[16]* o1161[12]))∧(i376[16]* i376[12]))


(12) -> (13), if (((i411[12]* i409[13])∧(o1161[12]* java.lang.Object(List(i411[13], o1161[13]))))∧(i386[12]* i386[13])∧(i385[12]* i385[13])∧((o1096[12]* o1096[13])∧(o1097[12]* o1097[13])∧(o1098[12]* o1098[13]))∧(i376[12]* i376[13]))


(14) -> (13), if ((i376[14]* i376[13])∧((o1096[14]* o1096[13])∧(o1097[14]* o1097[13])∧(o1098[14]* o1098[13]))∧(i386[14]* i386[13])∧((i411[14]* i409[13])∧(o1161[14]* java.lang.Object(List(i411[13], o1161[13]))))∧(i385[14]* i385[13]))


(13) -> (14), if ((i376[13]* i376[14])∧((o1096[13]* o1096[14])∧(o1097[13]* o1097[14])∧(o1098[13]* o1098[14]))∧((i409[13]* i409[14])∧(i411[13]* i411[14])∧(o1161[13]* o1161[14]))∧(i386[13]* i386[14])∧(i409[13] <= i411[13]* TRUE)∧(i385[13]* i385[14]))


(12) -> (15), if ((i376[12]* i376[15])∧((i411[12]* i409[15])∧(o1161[12]* java.lang.Object(List(i411[15], o1161[15]))))∧(i386[12]* i386[15])∧(i385[12]* i385[15])∧((o1096[12]* o1096[15])∧(o1097[12]* o1097[15])∧(o1098[12]* o1098[15])))


(14) -> (15), if (((o1096[14]* o1096[15])∧(o1097[14]* o1097[15])∧(o1098[14]* o1098[15]))∧(i386[14]* i386[15])∧(i385[14]* i385[15])∧((i411[14]* i409[15])∧(o1161[14]* java.lang.Object(List(i411[15], o1161[15]))))∧(i376[14]* i376[15]))


(15) -> (16), if ((i409[15] > i411[15]* TRUE)∧((i409[15]* i409[16])∧(i411[15]* i411[16])∧(o1161[15]* o1161[16]))∧((o1096[15]* o1096[16])∧(o1097[15]* o1097[16])∧(o1098[15]* o1098[16]))∧(i386[15]* i386[16])∧(i385[15]* i385[16])∧(i376[15]* i376[16]))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(73) IDPNonInfProof (SOUND transformation)

The constraints were generated the following way:
The DP Problem is simplified using the Induction Calculus [NONINF] with the following steps:
Note that final constraints are written in bold face.


For Pair COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) which results in the following constraint:

    (1)    (>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (1) using rules (III), (IV) which results in the following new constraint:

    (2)    (>(i409[15], i411[15])=TRUECOND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i411[15], java.lang.Object(List(i409[15], o1161[15])))))∧(UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥))



    We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (3)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(15)bni_39 + (-1)Bound*bni_39] + [(4)bni_39]o1161[15] + [bni_39]i376[15] ≥ 0∧[6 + (-1)bso_40] ≥ 0)



    We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (4)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(15)bni_39 + (-1)Bound*bni_39] + [(4)bni_39]o1161[15] + [bni_39]i376[15] ≥ 0∧[6 + (-1)bso_40] ≥ 0)



    We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (5)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(15)bni_39 + (-1)Bound*bni_39] + [(4)bni_39]o1161[15] + [bni_39]i376[15] ≥ 0∧[6 + (-1)bso_40] ≥ 0)



    We simplified constraint (5) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (6)    (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(4)bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(15)bni_39 + (-1)Bound*bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[6 + (-1)bso_40] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))), COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))) which results in the following constraint:

    (7)    (>(i409[15], i411[15])=TRUEi409[15]=i409[16]i411[15]=i411[16]o1161[15]=o1161[16]o1096[15]=o1096[16]o1097[15]=o1097[16]o1098[15]=o1098[16]i386[15]=i386[16]i385[15]=i385[16]i376[15]=i376[16]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥))



    We simplified constraint (7) using rule (IV) which results in the following new constraint:

    (8)    (>(i409[15], i411[15])=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))≥COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥))



    We simplified constraint (8) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (9)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(16)bni_41 + (-1)Bound*bni_41] + [(4)bni_41]o1161[15] + [bni_41]i376[15] ≥ 0∧[1 + (-1)bso_42] ≥ 0)



    We simplified constraint (9) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (10)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(16)bni_41 + (-1)Bound*bni_41] + [(4)bni_41]o1161[15] + [bni_41]i376[15] ≥ 0∧[1 + (-1)bso_42] ≥ 0)



    We simplified constraint (10) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (11)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(16)bni_41 + (-1)Bound*bni_41] + [(4)bni_41]o1161[15] + [bni_41]i376[15] ≥ 0∧[1 + (-1)bso_42] ≥ 0)



    We simplified constraint (11) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (12)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(4)bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(16)bni_41 + (-1)Bound*bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_42] ≥ 0)







For Pair COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) which results in the following constraint:

    (13)    (i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]i376[14]=i376[13]1o1096[14]=o1096[13]1o1097[14]=o1097[13]1o1098[14]=o1098[13]1i386[14]=i386[13]1i411[14]=i409[13]1o1161[14]=java.lang.Object(List(i411[13]1, o1161[13]1))∧i385[14]=i385[13]1COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (13) using rules (III), (IV) which results in the following new constraint:

    (14)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[13]1, o1161[13]1)))))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[13]1, o1161[13]1)))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[13]1, o1161[13]1)))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (14) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (15)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[13]1 + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[13]1 ≥ 0)



    We simplified constraint (15) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (16)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[13]1 + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[13]1 ≥ 0)



    We simplified constraint (16) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (17)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[13]1 + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[13]1 ≥ 0)



    We simplified constraint (17) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (18)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(8)bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(24)bni_43 + (-1)Bound*bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[8 + (-1)bso_44] ≥ 0∧[1] ≥ 0)



  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) which results in the following constraint:

    (19)    (i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]o1096[14]=o1096[15]o1097[14]=o1097[15]o1098[14]=o1098[15]i386[14]=i386[15]i385[14]=i385[15]i411[14]=i409[15]o1161[14]=java.lang.Object(List(i411[15], o1161[15]))∧i376[14]=i376[15]COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (19) using rules (III), (IV) which results in the following new constraint:

    (20)    (<=(i409[13], i411[13])=TRUECOND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[15], o1161[15])))))))≥NonInfC∧COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[15], o1161[15])))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i411[13], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥))



    We simplified constraint (20) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (21)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[15] + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[15] ≥ 0)



    We simplified constraint (21) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (22)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[15] + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[15] ≥ 0)



    We simplified constraint (22) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (23)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(24)bni_43 + (-1)Bound*bni_43] + [(8)bni_43]o1161[15] + [bni_43]i376[13] ≥ 0∧[8 + (-1)bso_44] + [4]o1161[15] ≥ 0)



    We simplified constraint (23) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (24)    (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(8)bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(24)bni_43 + (-1)Bound*bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[8 + (-1)bso_44] ≥ 0∧[1] ≥ 0)







For Pair LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) the following chains were created:
  • We consider the chain LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))), COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14]))) which results in the following constraint:

    (25)    (i376[13]=i376[14]o1096[13]=o1096[14]o1097[13]=o1097[14]o1098[13]=o1098[14]i409[13]=i409[14]i411[13]=i411[14]o1161[13]=o1161[14]i386[13]=i386[14]<=(i409[13], i411[13])=TRUEi385[13]=i385[14]LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥))



    We simplified constraint (25) using rule (IV) which results in the following new constraint:

    (26)    (<=(i409[13], i411[13])=TRUELOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥NonInfC∧LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))≥COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥))



    We simplified constraint (26) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (27)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(16)bni_45 + (-1)Bound*bni_45] + [(4)bni_45]o1161[13] + [bni_45]i376[13] ≥ 0∧[(-1)bso_46] ≥ 0)



    We simplified constraint (27) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (28)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(16)bni_45 + (-1)Bound*bni_45] + [(4)bni_45]o1161[13] + [bni_45]i376[13] ≥ 0∧[(-1)bso_46] ≥ 0)



    We simplified constraint (28) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (29)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(16)bni_45 + (-1)Bound*bni_45] + [(4)bni_45]o1161[13] + [bni_45]i376[13] ≥ 0∧[(-1)bso_46] ≥ 0)



    We simplified constraint (29) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (30)    (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(4)bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(16)bni_45 + (-1)Bound*bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_46] ≥ 0)







For Pair LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))) the following chains were created:
  • We consider the chain COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) which results in the following constraint:

    (31)    (i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]i411[12]=i409[13]o1161[12]=java.lang.Object(List(i411[13], o1161[13]))∧i386[12]=i386[13]i385[12]=i385[13]o1096[12]=o1096[13]o1097[12]=o1097[13]o1098[12]=o1098[13]i376[12]=i376[13]LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (31) using rules (III), (IV) which results in the following new constraint:

    (32)    (LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[13], o1161[13])))))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[13], o1161[13])))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[13], o1161[13])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (32) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (33)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[13] ≥ 0)



    We simplified constraint (33) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (34)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[13] ≥ 0)



    We simplified constraint (34) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (35)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[13] ≥ 0)



    We simplified constraint (35) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (36)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_48] ≥ 0∧[1] ≥ 0)



  • We consider the chain COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16]))))), LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12]))), LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) which results in the following constraint:

    (37)    (i386[16]=i386[12]i385[16]=i385[12]o1096[16]=o1096[12]o1097[16]=o1097[12]o1098[16]=o1098[12]i411[16]=i409[12]i409[16]=i411[12]o1161[16]=o1161[12]i376[16]=i376[12]i376[12]=i376[15]i411[12]=i409[15]o1161[12]=java.lang.Object(List(i411[15], o1161[15]))∧i386[12]=i386[15]i385[12]=i385[15]o1096[12]=o1096[15]o1097[12]=o1097[15]o1098[12]=o1098[15]LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12])))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (37) using rules (III), (IV) which results in the following new constraint:

    (38)    (LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[15], o1161[15])))))))≥NonInfC∧LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[15], o1161[15])))))))≥LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[15], o1161[15])))))∧(UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥))



    We simplified constraint (38) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (39)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[15] ≥ 0)



    We simplified constraint (39) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (40)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[15] ≥ 0)



    We simplified constraint (40) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (41)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧[1 + (-1)bso_48] + [4]o1161[15] ≥ 0)



    We simplified constraint (41) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

    (42)    ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_48] ≥ 0∧[1] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))), ≥)∧[(4)bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(15)bni_39 + (-1)Bound*bni_39] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[6 + (-1)bso_40] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))), ≥)∧[(4)bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(16)bni_41 + (-1)Bound*bni_41] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_42] ≥ 0)

  • COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(8)bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(24)bni_43 + (-1)Bound*bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[8 + (-1)bso_44] ≥ 0∧[1] ≥ 0)
    • (0 ≥ 0 ⇒ (UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))), ≥)∧[(8)bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(24)bni_43 + (-1)Bound*bni_43] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[8 + (-1)bso_44] ≥ 0∧[1] ≥ 0)

  • LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))
    • (0 ≥ 0 ⇒ (UIncreasing(COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))), ≥)∧[(4)bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(16)bni_45 + (-1)Bound*bni_45] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_46] ≥ 0)

  • LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_48] ≥ 0∧[1] ≥ 0)
    • ((UIncreasing(LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_48] ≥ 0∧[1] ≥ 0)




The constraints for P> respective Pbound are constructed from P where we just replace every occurence of "t ≥ s" in P by "t > s" respective "t ≥ c". Here c stands for the fresh constant used for Pbound.
Using the following integer polynomial ordering the resulting constraints can be solved
Polynomial interpretation over integers with natural coefficients for all symbols [NONINF][POLO]:

POL(TRUE) = 0   
POL(FALSE) = 0   
POL(COND_LOAD19481(x1, x2, x3, x4, x5, x6)) = [1] + x6 + x3 + [2]x2   
POL(java.lang.Object(x1)) = [2]x1   
POL(ARRAY(x1, x2)) = [2]x2   
POL(3) = 0   
POL(DATA(x1, x2, x3)) = [1]   
POL(List(x1, x2)) = [1] + x2   
POL(LOAD2114(x1, x2, x3, x4, x5)) = [3] + x5 + x2   
POL(LOAD1948(x1, x2, x3, x4, x5)) = [2] + x5 + x2 + [2]x1   
POL(>(x1, x2)) = 0   
POL(COND_LOAD1948(x1, x2, x3, x4, x5, x6)) = [2] + x6 + x3 + [2]x2   
POL(<=(x1, x2)) = 0   

The following pairs are in P>:

COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))

The following pairs are in Pbound:

COND_LOAD19481(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i409[16], java.lang.Object(List(i411[16], o1161[16]))))) → LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[16], o1097[16], o1098[16]))), i376[16], i385[16], i386[16], java.lang.Object(List(i411[16], java.lang.Object(List(i409[16], o1161[16])))))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15]))))) → COND_LOAD19481(>(i409[15], i411[15]), java.lang.Object(ARRAY(3, DATA(o1096[15], o1097[15], o1098[15]))), i376[15], i385[15], i386[15], java.lang.Object(List(i409[15], java.lang.Object(List(i411[15], o1161[15])))))
COND_LOAD1948(TRUE, java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i409[14], java.lang.Object(List(i411[14], o1161[14]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[14], o1097[14], o1098[14]))), i376[14], i385[14], i386[14], java.lang.Object(List(i411[14], o1161[14])))
LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))

The following pairs are in P:

LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(<=(i409[13], i411[13]), java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))

There are no usable rules.

(74) Complex Obligation (AND)

(75) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(13): LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13]))))) → COND_LOAD1948(i409[13] <= i411[13], java.lang.Object(ARRAY(3, DATA(o1096[13], o1097[13], o1098[13]))), i376[13], i385[13], i386[13], java.lang.Object(List(i409[13], java.lang.Object(List(i411[13], o1161[13])))))


The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(76) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(77) TRUE

(78) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:
none


R is empty.

The integer pair graph contains the following rules and edges:
(12): LOAD2114(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i409[12], java.lang.Object(List(i411[12], o1161[12]))))) → LOAD1948(java.lang.Object(ARRAY(3, DATA(o1096[12], o1097[12], o1098[12]))), i376[12], i385[12], i386[12], java.lang.Object(List(i411[12], o1161[12])))


The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(79) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(80) TRUE

(81) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(3): LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(3, DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], i378[3] + 1)

(3) -> (3), if ((i376[3]* i376[3]')∧((o925[3]* o925[3]')∧(o926[3]* o926[3]')∧(o927[3]* o927[3]'))∧(i378[3] + 1* i378[3]')∧(o933[3]* java.lang.Object(List(i379[3]', o933[3]'))))



The set Q consists of the following terms:
Load1380(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(TRUE, java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(3, DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(82) IDPtoQDPProof (SOUND transformation)

Represented integers and predefined function symbols by Terms

(83) Obligation:

Q DP problem:
The TRS P consists of the following rules:

LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], plus_int(pos(s(0)), i378[3]))

The TRS R consists of the following rules:

plus_int(pos(x), neg(y)) → minus_nat(x, y)
plus_int(neg(x), pos(y)) → minus_nat(y, x)
plus_int(neg(x), neg(y)) → neg(plus_nat(x, y))
plus_int(pos(x), pos(y)) → pos(plus_nat(x, y))
plus_nat(0, x) → x
plus_nat(s(x), y) → s(plus_nat(x, y))
minus_nat(0, 0) → pos(0)
minus_nat(0, s(y)) → neg(s(y))
minus_nat(s(x), 0) → pos(s(x))
minus_nat(s(x), s(y)) → minus_nat(x, y)

The set Q consists of the following terms:

Load1380(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))
plus_int(pos(x0), neg(x1))
plus_int(neg(x0), pos(x1))
plus_int(neg(x0), neg(x1))
plus_int(pos(x0), pos(x1))
plus_nat(0, x0)
plus_nat(s(x0), x1)
minus_nat(0, 0)
minus_nat(0, s(x0))
minus_nat(s(x0), 0)
minus_nat(s(x0), s(x1))

We have to consider all minimal (P,Q,R)-chains.

(84) UsableRulesProof (EQUIVALENT transformation)

As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.

(85) Obligation:

Q DP problem:
The TRS P consists of the following rules:

LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], plus_int(pos(s(0)), i378[3]))

The TRS R consists of the following rules:

plus_int(pos(x), neg(y)) → minus_nat(x, y)
plus_int(pos(x), pos(y)) → pos(plus_nat(x, y))
plus_nat(0, x) → x
plus_nat(s(x), y) → s(plus_nat(x, y))
minus_nat(0, 0) → pos(0)
minus_nat(0, s(y)) → neg(s(y))
minus_nat(s(x), 0) → pos(s(x))
minus_nat(s(x), s(y)) → minus_nat(x, y)

The set Q consists of the following terms:

Load1380(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))
plus_int(pos(x0), neg(x1))
plus_int(neg(x0), pos(x1))
plus_int(neg(x0), neg(x1))
plus_int(pos(x0), pos(x1))
plus_nat(0, x0)
plus_nat(s(x0), x1)
minus_nat(0, 0)
minus_nat(0, s(x0))
minus_nat(s(x0), 0)
minus_nat(s(x0), s(x1))

We have to consider all minimal (P,Q,R)-chains.

(86) QReductionProof (EQUIVALENT transformation)

We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].

Load1380(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3)
Load1380ARR1(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x0)
Cond_Load1380ARR1(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x0)
Load1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, java.lang.Object(List(x4, x5)), x6)
Load1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, NULL, x4)
Return1966(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, NULL)
Load1702(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Cond_Load1702(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5)
Load1702ARR2(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, x0)
Cond_Load1702ARR2(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, x0)
Load2114(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load1948(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Cond_Load19481(true, java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, java.lang.Object(List(x7, x8)))))
Load1948(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(x0, x1, x2))), x3, x4, x5, java.lang.Object(List(x6, NULL)))

(87) Obligation:

Q DP problem:
The TRS P consists of the following rules:

LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], plus_int(pos(s(0)), i378[3]))

The TRS R consists of the following rules:

plus_int(pos(x), neg(y)) → minus_nat(x, y)
plus_int(pos(x), pos(y)) → pos(plus_nat(x, y))
plus_nat(0, x) → x
plus_nat(s(x), y) → s(plus_nat(x, y))
minus_nat(0, 0) → pos(0)
minus_nat(0, s(y)) → neg(s(y))
minus_nat(s(x), 0) → pos(s(x))
minus_nat(s(x), s(y)) → minus_nat(x, y)

The set Q consists of the following terms:

plus_int(pos(x0), neg(x1))
plus_int(neg(x0), pos(x1))
plus_int(neg(x0), neg(x1))
plus_int(pos(x0), pos(x1))
plus_nat(0, x0)
plus_nat(s(x0), x1)
minus_nat(0, 0)
minus_nat(0, s(x0))
minus_nat(s(x0), 0)
minus_nat(s(x0), s(x1))

We have to consider all minimal (P,Q,R)-chains.

(88) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], java.lang.Object(List(i379[3], o933[3])), i378[3]) → LOAD1493(java.lang.Object(ARRAY(pos(s(s(s(0)))), DATA(o925[3], o926[3], o927[3]))), i376[3], o933[3], plus_int(pos(s(0)), i378[3]))
    The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3

(89) TRUE

(90) Obligation:

ITRS problem:

The following function symbols are pre-defined:
!=~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

The TRS R consists of the following rules:
Load941(i276) → Cond_Load941(i276 > 0, i276)
Cond_Load941(TRUE, i276) → Load941(i276 + -1)
The set Q consists of the following terms:
Load941(x0)
Cond_Load941(TRUE, x0)

(91) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

(92) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


The ITRS R consists of the following rules:
Load941(i276) → Cond_Load941(i276 > 0, i276)
Cond_Load941(TRUE, i276) → Load941(i276 + -1)

The integer pair graph contains the following rules and edges:
(0): LOAD941(i276[0]) → COND_LOAD941(i276[0] > 0, i276[0])
(1): COND_LOAD941(TRUE, i276[1]) → LOAD941(i276[1] + -1)

(0) -> (1), if ((i276[0] > 0* TRUE)∧(i276[0]* i276[1]))


(1) -> (0), if ((i276[1] + -1* i276[0]))



The set Q consists of the following terms:
Load941(x0)
Cond_Load941(TRUE, x0)

(93) UsableRulesProof (EQUIVALENT transformation)

As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.

(94) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD941(i276[0]) → COND_LOAD941(i276[0] > 0, i276[0])
(1): COND_LOAD941(TRUE, i276[1]) → LOAD941(i276[1] + -1)

(0) -> (1), if ((i276[0] > 0* TRUE)∧(i276[0]* i276[1]))


(1) -> (0), if ((i276[1] + -1* i276[0]))



The set Q consists of the following terms:
Load941(x0)
Cond_Load941(TRUE, x0)

(95) IDPNonInfProof (SOUND transformation)

The constraints were generated the following way:
The DP Problem is simplified using the Induction Calculus [NONINF] with the following steps:
Note that final constraints are written in bold face.


For Pair LOAD941(i276) → COND_LOAD941(>(i276, 0), i276) the following chains were created:
  • We consider the chain LOAD941(i276[0]) → COND_LOAD941(>(i276[0], 0), i276[0]), COND_LOAD941(TRUE, i276[1]) → LOAD941(+(i276[1], -1)) which results in the following constraint:

    (1)    (>(i276[0], 0)=TRUEi276[0]=i276[1]LOAD941(i276[0])≥NonInfC∧LOAD941(i276[0])≥COND_LOAD941(>(i276[0], 0), i276[0])∧(UIncreasing(COND_LOAD941(>(i276[0], 0), i276[0])), ≥))



    We simplified constraint (1) using rule (IV) which results in the following new constraint:

    (2)    (>(i276[0], 0)=TRUELOAD941(i276[0])≥NonInfC∧LOAD941(i276[0])≥COND_LOAD941(>(i276[0], 0), i276[0])∧(UIncreasing(COND_LOAD941(>(i276[0], 0), i276[0])), ≥))



    We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (3)    (i276[0] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD941(>(i276[0], 0), i276[0])), ≥)∧[(-1)Bound*bni_8] + [(2)bni_8]i276[0] ≥ 0∧[(-1)bso_9] ≥ 0)



    We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (4)    (i276[0] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD941(>(i276[0], 0), i276[0])), ≥)∧[(-1)Bound*bni_8] + [(2)bni_8]i276[0] ≥ 0∧[(-1)bso_9] ≥ 0)



    We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (5)    (i276[0] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD941(>(i276[0], 0), i276[0])), ≥)∧[(-1)Bound*bni_8] + [(2)bni_8]i276[0] ≥ 0∧[(-1)bso_9] ≥ 0)



    We simplified constraint (5) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (6)    (i276[0] ≥ 0 ⇒ (UIncreasing(COND_LOAD941(>(i276[0], 0), i276[0])), ≥)∧[(-1)Bound*bni_8 + (2)bni_8] + [(2)bni_8]i276[0] ≥ 0∧[(-1)bso_9] ≥ 0)







For Pair COND_LOAD941(TRUE, i276) → LOAD941(+(i276, -1)) the following chains were created:
  • We consider the chain COND_LOAD941(TRUE, i276[1]) → LOAD941(+(i276[1], -1)) which results in the following constraint:

    (7)    (COND_LOAD941(TRUE, i276[1])≥NonInfC∧COND_LOAD941(TRUE, i276[1])≥LOAD941(+(i276[1], -1))∧(UIncreasing(LOAD941(+(i276[1], -1))), ≥))



    We simplified constraint (7) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (8)    ((UIncreasing(LOAD941(+(i276[1], -1))), ≥)∧[2 + (-1)bso_11] ≥ 0)



    We simplified constraint (8) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (9)    ((UIncreasing(LOAD941(+(i276[1], -1))), ≥)∧[2 + (-1)bso_11] ≥ 0)



    We simplified constraint (9) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (10)    ((UIncreasing(LOAD941(+(i276[1], -1))), ≥)∧[2 + (-1)bso_11] ≥ 0)



    We simplified constraint (10) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (11)    ((UIncreasing(LOAD941(+(i276[1], -1))), ≥)∧0 = 0∧[2 + (-1)bso_11] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • LOAD941(i276) → COND_LOAD941(>(i276, 0), i276)
    • (i276[0] ≥ 0 ⇒ (UIncreasing(COND_LOAD941(>(i276[0], 0), i276[0])), ≥)∧[(-1)Bound*bni_8 + (2)bni_8] + [(2)bni_8]i276[0] ≥ 0∧[(-1)bso_9] ≥ 0)

  • COND_LOAD941(TRUE, i276) → LOAD941(+(i276, -1))
    • ((UIncreasing(LOAD941(+(i276[1], -1))), ≥)∧0 = 0∧[2 + (-1)bso_11] ≥ 0)




The constraints for P> respective Pbound are constructed from P where we just replace every occurence of "t ≥ s" in P by "t > s" respective "t ≥ c". Here c stands for the fresh constant used for Pbound.
Using the following integer polynomial ordering the resulting constraints can be solved
Polynomial interpretation over integers[POLO]:

POL(TRUE) = 0   
POL(FALSE) = 0   
POL(LOAD941(x1)) = [2]x1   
POL(COND_LOAD941(x1, x2)) = [2]x2   
POL(>(x1, x2)) = [-1]   
POL(0) = 0   
POL(+(x1, x2)) = x1 + x2   
POL(-1) = [-1]   

The following pairs are in P>:

COND_LOAD941(TRUE, i276[1]) → LOAD941(+(i276[1], -1))

The following pairs are in Pbound:

LOAD941(i276[0]) → COND_LOAD941(>(i276[0], 0), i276[0])

The following pairs are in P:

LOAD941(i276[0]) → COND_LOAD941(>(i276[0], 0), i276[0])

There are no usable rules.

(96) Complex Obligation (AND)

(97) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD941(i276[0]) → COND_LOAD941(i276[0] > 0, i276[0])


The set Q consists of the following terms:
Load941(x0)
Cond_Load941(TRUE, x0)

(98) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(99) TRUE

(100) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(1): COND_LOAD941(TRUE, i276[1]) → LOAD941(i276[1] + -1)


The set Q consists of the following terms:
Load941(x0)
Cond_Load941(TRUE, x0)

(101) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(102) TRUE

(103) Obligation:

ITRS problem:

The following function symbols are pre-defined:
!=~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

The TRS R consists of the following rules:
Load542(i103) → Cond_Load542(i103 > 0, i103)
Cond_Load542(TRUE, i103) → Load542(i103 + -1)
The set Q consists of the following terms:
Load542(x0)
Cond_Load542(TRUE, x0)

(104) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

(105) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


The ITRS R consists of the following rules:
Load542(i103) → Cond_Load542(i103 > 0, i103)
Cond_Load542(TRUE, i103) → Load542(i103 + -1)

The integer pair graph contains the following rules and edges:
(0): LOAD542(i103[0]) → COND_LOAD542(i103[0] > 0, i103[0])
(1): COND_LOAD542(TRUE, i103[1]) → LOAD542(i103[1] + -1)

(0) -> (1), if ((i103[0] > 0* TRUE)∧(i103[0]* i103[1]))


(1) -> (0), if ((i103[1] + -1* i103[0]))



The set Q consists of the following terms:
Load542(x0)
Cond_Load542(TRUE, x0)

(106) UsableRulesProof (EQUIVALENT transformation)

As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.

(107) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD542(i103[0]) → COND_LOAD542(i103[0] > 0, i103[0])
(1): COND_LOAD542(TRUE, i103[1]) → LOAD542(i103[1] + -1)

(0) -> (1), if ((i103[0] > 0* TRUE)∧(i103[0]* i103[1]))


(1) -> (0), if ((i103[1] + -1* i103[0]))



The set Q consists of the following terms:
Load542(x0)
Cond_Load542(TRUE, x0)

(108) IDPNonInfProof (SOUND transformation)

The constraints were generated the following way:
The DP Problem is simplified using the Induction Calculus [NONINF] with the following steps:
Note that final constraints are written in bold face.


For Pair LOAD542(i103) → COND_LOAD542(>(i103, 0), i103) the following chains were created:
  • We consider the chain LOAD542(i103[0]) → COND_LOAD542(>(i103[0], 0), i103[0]), COND_LOAD542(TRUE, i103[1]) → LOAD542(+(i103[1], -1)) which results in the following constraint:

    (1)    (>(i103[0], 0)=TRUEi103[0]=i103[1]LOAD542(i103[0])≥NonInfC∧LOAD542(i103[0])≥COND_LOAD542(>(i103[0], 0), i103[0])∧(UIncreasing(COND_LOAD542(>(i103[0], 0), i103[0])), ≥))



    We simplified constraint (1) using rule (IV) which results in the following new constraint:

    (2)    (>(i103[0], 0)=TRUELOAD542(i103[0])≥NonInfC∧LOAD542(i103[0])≥COND_LOAD542(>(i103[0], 0), i103[0])∧(UIncreasing(COND_LOAD542(>(i103[0], 0), i103[0])), ≥))



    We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (3)    (i103[0] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD542(>(i103[0], 0), i103[0])), ≥)∧[(-1)Bound*bni_8] + [(2)bni_8]i103[0] ≥ 0∧[(-1)bso_9] ≥ 0)



    We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (4)    (i103[0] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD542(>(i103[0], 0), i103[0])), ≥)∧[(-1)Bound*bni_8] + [(2)bni_8]i103[0] ≥ 0∧[(-1)bso_9] ≥ 0)



    We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (5)    (i103[0] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD542(>(i103[0], 0), i103[0])), ≥)∧[(-1)Bound*bni_8] + [(2)bni_8]i103[0] ≥ 0∧[(-1)bso_9] ≥ 0)



    We simplified constraint (5) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (6)    (i103[0] ≥ 0 ⇒ (UIncreasing(COND_LOAD542(>(i103[0], 0), i103[0])), ≥)∧[(-1)Bound*bni_8 + (2)bni_8] + [(2)bni_8]i103[0] ≥ 0∧[(-1)bso_9] ≥ 0)







For Pair COND_LOAD542(TRUE, i103) → LOAD542(+(i103, -1)) the following chains were created:
  • We consider the chain COND_LOAD542(TRUE, i103[1]) → LOAD542(+(i103[1], -1)) which results in the following constraint:

    (7)    (COND_LOAD542(TRUE, i103[1])≥NonInfC∧COND_LOAD542(TRUE, i103[1])≥LOAD542(+(i103[1], -1))∧(UIncreasing(LOAD542(+(i103[1], -1))), ≥))



    We simplified constraint (7) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (8)    ((UIncreasing(LOAD542(+(i103[1], -1))), ≥)∧[2 + (-1)bso_11] ≥ 0)



    We simplified constraint (8) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (9)    ((UIncreasing(LOAD542(+(i103[1], -1))), ≥)∧[2 + (-1)bso_11] ≥ 0)



    We simplified constraint (9) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (10)    ((UIncreasing(LOAD542(+(i103[1], -1))), ≥)∧[2 + (-1)bso_11] ≥ 0)



    We simplified constraint (10) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (11)    ((UIncreasing(LOAD542(+(i103[1], -1))), ≥)∧0 = 0∧[2 + (-1)bso_11] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • LOAD542(i103) → COND_LOAD542(>(i103, 0), i103)
    • (i103[0] ≥ 0 ⇒ (UIncreasing(COND_LOAD542(>(i103[0], 0), i103[0])), ≥)∧[(-1)Bound*bni_8 + (2)bni_8] + [(2)bni_8]i103[0] ≥ 0∧[(-1)bso_9] ≥ 0)

  • COND_LOAD542(TRUE, i103) → LOAD542(+(i103, -1))
    • ((UIncreasing(LOAD542(+(i103[1], -1))), ≥)∧0 = 0∧[2 + (-1)bso_11] ≥ 0)




The constraints for P> respective Pbound are constructed from P where we just replace every occurence of "t ≥ s" in P by "t > s" respective "t ≥ c". Here c stands for the fresh constant used for Pbound.
Using the following integer polynomial ordering the resulting constraints can be solved
Polynomial interpretation over integers[POLO]:

POL(TRUE) = 0   
POL(FALSE) = 0   
POL(LOAD542(x1)) = [2]x1   
POL(COND_LOAD542(x1, x2)) = [2]x2   
POL(>(x1, x2)) = [-1]   
POL(0) = 0   
POL(+(x1, x2)) = x1 + x2   
POL(-1) = [-1]   

The following pairs are in P>:

COND_LOAD542(TRUE, i103[1]) → LOAD542(+(i103[1], -1))

The following pairs are in Pbound:

LOAD542(i103[0]) → COND_LOAD542(>(i103[0], 0), i103[0])

The following pairs are in P:

LOAD542(i103[0]) → COND_LOAD542(>(i103[0], 0), i103[0])

There are no usable rules.

(109) Complex Obligation (AND)

(110) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD542(i103[0]) → COND_LOAD542(i103[0] > 0, i103[0])


The set Q consists of the following terms:
Load542(x0)
Cond_Load542(TRUE, x0)

(111) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(112) TRUE

(113) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(1): COND_LOAD542(TRUE, i103[1]) → LOAD542(i103[1] + -1)


The set Q consists of the following terms:
Load542(x0)
Cond_Load542(TRUE, x0)

(114) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(115) TRUE

(116) Obligation:

ITRS problem:

The following function symbols are pre-defined:
!=~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

The TRS R consists of the following rules:
Load204(i19) → Cond_Load204(i19 > 0, i19)
Cond_Load204(TRUE, i19) → Load204(i19 + -1)
The set Q consists of the following terms:
Load204(x0)
Cond_Load204(TRUE, x0)

(117) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

(118) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


The ITRS R consists of the following rules:
Load204(i19) → Cond_Load204(i19 > 0, i19)
Cond_Load204(TRUE, i19) → Load204(i19 + -1)

The integer pair graph contains the following rules and edges:
(0): LOAD204(i19[0]) → COND_LOAD204(i19[0] > 0, i19[0])
(1): COND_LOAD204(TRUE, i19[1]) → LOAD204(i19[1] + -1)

(0) -> (1), if ((i19[0] > 0* TRUE)∧(i19[0]* i19[1]))


(1) -> (0), if ((i19[1] + -1* i19[0]))



The set Q consists of the following terms:
Load204(x0)
Cond_Load204(TRUE, x0)

(119) UsableRulesProof (EQUIVALENT transformation)

As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.

(120) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD204(i19[0]) → COND_LOAD204(i19[0] > 0, i19[0])
(1): COND_LOAD204(TRUE, i19[1]) → LOAD204(i19[1] + -1)

(0) -> (1), if ((i19[0] > 0* TRUE)∧(i19[0]* i19[1]))


(1) -> (0), if ((i19[1] + -1* i19[0]))



The set Q consists of the following terms:
Load204(x0)
Cond_Load204(TRUE, x0)

(121) IDPNonInfProof (SOUND transformation)

The constraints were generated the following way:
The DP Problem is simplified using the Induction Calculus [NONINF] with the following steps:
Note that final constraints are written in bold face.


For Pair LOAD204(i19) → COND_LOAD204(>(i19, 0), i19) the following chains were created:
  • We consider the chain LOAD204(i19[0]) → COND_LOAD204(>(i19[0], 0), i19[0]), COND_LOAD204(TRUE, i19[1]) → LOAD204(+(i19[1], -1)) which results in the following constraint:

    (1)    (>(i19[0], 0)=TRUEi19[0]=i19[1]LOAD204(i19[0])≥NonInfC∧LOAD204(i19[0])≥COND_LOAD204(>(i19[0], 0), i19[0])∧(UIncreasing(COND_LOAD204(>(i19[0], 0), i19[0])), ≥))



    We simplified constraint (1) using rule (IV) which results in the following new constraint:

    (2)    (>(i19[0], 0)=TRUELOAD204(i19[0])≥NonInfC∧LOAD204(i19[0])≥COND_LOAD204(>(i19[0], 0), i19[0])∧(UIncreasing(COND_LOAD204(>(i19[0], 0), i19[0])), ≥))



    We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (3)    (i19[0] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD204(>(i19[0], 0), i19[0])), ≥)∧[(-1)Bound*bni_8] + [(2)bni_8]i19[0] ≥ 0∧[(-1)bso_9] ≥ 0)



    We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (4)    (i19[0] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD204(>(i19[0], 0), i19[0])), ≥)∧[(-1)Bound*bni_8] + [(2)bni_8]i19[0] ≥ 0∧[(-1)bso_9] ≥ 0)



    We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (5)    (i19[0] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD204(>(i19[0], 0), i19[0])), ≥)∧[(-1)Bound*bni_8] + [(2)bni_8]i19[0] ≥ 0∧[(-1)bso_9] ≥ 0)



    We simplified constraint (5) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

    (6)    (i19[0] ≥ 0 ⇒ (UIncreasing(COND_LOAD204(>(i19[0], 0), i19[0])), ≥)∧[(-1)Bound*bni_8 + (2)bni_8] + [(2)bni_8]i19[0] ≥ 0∧[(-1)bso_9] ≥ 0)







For Pair COND_LOAD204(TRUE, i19) → LOAD204(+(i19, -1)) the following chains were created:
  • We consider the chain COND_LOAD204(TRUE, i19[1]) → LOAD204(+(i19[1], -1)) which results in the following constraint:

    (7)    (COND_LOAD204(TRUE, i19[1])≥NonInfC∧COND_LOAD204(TRUE, i19[1])≥LOAD204(+(i19[1], -1))∧(UIncreasing(LOAD204(+(i19[1], -1))), ≥))



    We simplified constraint (7) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (8)    ((UIncreasing(LOAD204(+(i19[1], -1))), ≥)∧[2 + (-1)bso_11] ≥ 0)



    We simplified constraint (8) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (9)    ((UIncreasing(LOAD204(+(i19[1], -1))), ≥)∧[2 + (-1)bso_11] ≥ 0)



    We simplified constraint (9) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (10)    ((UIncreasing(LOAD204(+(i19[1], -1))), ≥)∧[2 + (-1)bso_11] ≥ 0)



    We simplified constraint (10) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (11)    ((UIncreasing(LOAD204(+(i19[1], -1))), ≥)∧0 = 0∧[2 + (-1)bso_11] ≥ 0)







To summarize, we get the following constraints P for the following pairs.
  • LOAD204(i19) → COND_LOAD204(>(i19, 0), i19)
    • (i19[0] ≥ 0 ⇒ (UIncreasing(COND_LOAD204(>(i19[0], 0), i19[0])), ≥)∧[(-1)Bound*bni_8 + (2)bni_8] + [(2)bni_8]i19[0] ≥ 0∧[(-1)bso_9] ≥ 0)

  • COND_LOAD204(TRUE, i19) → LOAD204(+(i19, -1))
    • ((UIncreasing(LOAD204(+(i19[1], -1))), ≥)∧0 = 0∧[2 + (-1)bso_11] ≥ 0)




The constraints for P> respective Pbound are constructed from P where we just replace every occurence of "t ≥ s" in P by "t > s" respective "t ≥ c". Here c stands for the fresh constant used for Pbound.
Using the following integer polynomial ordering the resulting constraints can be solved
Polynomial interpretation over integers[POLO]:

POL(TRUE) = 0   
POL(FALSE) = 0   
POL(LOAD204(x1)) = [2]x1   
POL(COND_LOAD204(x1, x2)) = [2]x2   
POL(>(x1, x2)) = [-1]   
POL(0) = 0   
POL(+(x1, x2)) = x1 + x2   
POL(-1) = [-1]   

The following pairs are in P>:

COND_LOAD204(TRUE, i19[1]) → LOAD204(+(i19[1], -1))

The following pairs are in Pbound:

LOAD204(i19[0]) → COND_LOAD204(>(i19[0], 0), i19[0])

The following pairs are in P:

LOAD204(i19[0]) → COND_LOAD204(>(i19[0], 0), i19[0])

There are no usable rules.

(122) Complex Obligation (AND)

(123) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD204(i19[0]) → COND_LOAD204(i19[0] > 0, i19[0])


The set Q consists of the following terms:
Load204(x0)
Cond_Load204(TRUE, x0)

(124) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(125) TRUE

(126) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~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


The following domains are used:

Integer


R is empty.

The integer pair graph contains the following rules and edges:
(1): COND_LOAD204(TRUE, i19[1]) → LOAD204(i19[1] + -1)


The set Q consists of the following terms:
Load204(x0)
Cond_Load204(TRUE, x0)

(127) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(128) TRUE