### (0) Obligation:

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

Manifest-Version: 1.0 Created-By: 1.6.0_20 (Sun Microsystems Inc.) Main-Class: DuplicateTreePath

### (1) JBC2FIG (SOUND transformation)

Constructed FIGraph.

### (2) Obligation:

FIGraph based on JBC Program:
Graph of 497 nodes with 2 SCCs.

### (3) FIGtoITRSProof (SOUND transformation)

Transformed FIGraph to ITRS rules

### (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:
Load13105(java.lang.Object(ARRAY(i2, a7588data)), i1876, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361))) → Load12814(java.lang.Object(ARRAY(i2, a7588data)), i1876, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)))
Load12814(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361))) → Load12814ARR1(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
Load12814ARR1(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → Cond_Load12814ARR1(i1942 >= 42 && i1840 > 0 && i1840 < i2 && i1840 + 1 > 0, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
Cond_Load12814ARR1(TRUE, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → Load12814(java.lang.Object(ARRAY(i2, a7588data)), i1840 + 1, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)))
Load12814(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367))) → Load12814ARR2(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
Load12814ARR2(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), NULL, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → Cond_Load12814ARR2(i1942 >= 0 && i1942 < 42 && i1840 > 0 && i1840 < i2 && i1840 + 1 > 0, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), NULL, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
Cond_Load12814ARR2(TRUE, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), NULL, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → Load12814(java.lang.Object(ARRAY(i2, a7588data)), i1840 + 1, java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)))
Load12814(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367))) → Load12814ARR3(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
Load12814ARR3(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → Cond_Load12814ARR3(i1942 >= 0 && i1942 < 42 && i1840 > 0 && i1840 < i2 && i1840 + 1 > 0, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
Cond_Load12814ARR3(TRUE, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → Load13105(java.lang.Object(ARRAY(i2, a7588data)), i1840 + 1, java.lang.Object(Tree(NULL, o8366, o8367)))
The set Q consists of the following terms:
Load13105(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)))
Load12814ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)), x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load12814ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)), x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)))
Load12814ARR2(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)), NULL, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load12814ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)), NULL, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)))
Load12814ARR3(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)), java.lang.Object(java.lang.String(x5, x6, x7, x8)))
Cond_Load12814ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)), java.lang.Object(java.lang.String(x5, x6, x7, x8)))

### (6) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

### (7) 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:
Load13105(java.lang.Object(ARRAY(i2, a7588data)), i1876, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361))) → Load12814(java.lang.Object(ARRAY(i2, a7588data)), i1876, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)))
Load12814(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361))) → Load12814ARR1(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
Load12814ARR1(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → Cond_Load12814ARR1(i1942 >= 42 && i1840 > 0 && i1840 < i2 && i1840 + 1 > 0, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
Cond_Load12814ARR1(TRUE, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → Load12814(java.lang.Object(ARRAY(i2, a7588data)), i1840 + 1, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)))
Load12814(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367))) → Load12814ARR2(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
Load12814ARR2(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), NULL, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → Cond_Load12814ARR2(i1942 >= 0 && i1942 < 42 && i1840 > 0 && i1840 < i2 && i1840 + 1 > 0, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), NULL, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
Cond_Load12814ARR2(TRUE, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), NULL, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → Load12814(java.lang.Object(ARRAY(i2, a7588data)), i1840 + 1, java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)))
Load12814(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367))) → Load12814ARR3(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
Load12814ARR3(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → Cond_Load12814ARR3(i1942 >= 0 && i1942 < 42 && i1840 > 0 && i1840 < i2 && i1840 + 1 > 0, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
Cond_Load12814ARR3(TRUE, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → Load13105(java.lang.Object(ARRAY(i2, a7588data)), i1840 + 1, java.lang.Object(Tree(NULL, o8366, o8367)))

The integer pair graph contains the following rules and edges:
(0): LOAD13105(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8359[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])), o8361[0]))) → LOAD12814(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))
(1): LOAD12814(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1]))) → LOAD12814ARR1(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])), java.lang.Object(java.lang.String(i1942[1], i1941[1], i1943[1], a7876[1])))
(2): LOAD12814ARR1(java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2]))) → COND_LOAD12814ARR1(i1942[2] >= 42 && i1840[2] > 0 && i1840[2] < i2[2] && i1840[2] + 1 > 0, java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))
(3): COND_LOAD12814ARR1(TRUE, java.lang.Object(ARRAY(i2[3], a7588data[3])), i1840[3], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[3], java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])), o8361[3])), o8361[3])), java.lang.Object(java.lang.String(i1942[3], i1941[3], i1943[3], a7876[3]))) → LOAD12814(java.lang.Object(ARRAY(i2[3], a7588data[3])), i1840[3] + 1, java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])))
(4): LOAD12814(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4]))) → LOAD12814ARR2(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])), java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4])))
(5): LOAD12814ARR2(java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5]))) → COND_LOAD12814ARR2(i1942[5] >= 0 && i1942[5] < 42 && i1840[5] > 0 && i1840[5] < i2[5] && i1840[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))
(6): COND_LOAD12814ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a7588data[6])), i1840[6], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])), o8366[6], o8367[6])), NULL, o8367[6])), java.lang.Object(java.lang.String(i1942[6], i1941[6], i1943[6], a7876[6]))) → LOAD12814(java.lang.Object(ARRAY(i2[6], a7588data[6])), i1840[6] + 1, java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])))
(7): LOAD12814(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7]))) → LOAD12814ARR3(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7])), java.lang.Object(java.lang.String(i1942[7], i1941[7], i1943[7], a7876[7])))
(8): LOAD12814ARR3(java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8]))) → COND_LOAD12814ARR3(i1942[8] >= 0 && i1942[8] < 42 && i1840[8] > 0 && i1840[8] < i2[8] && i1840[8] + 1 > 0, java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))
(9): COND_LOAD12814ARR3(TRUE, java.lang.Object(ARRAY(i2[9], a7588data[9])), i1840[9], java.lang.Object(Tree(NULL, o8366[9], o8367[9])), java.lang.Object(java.lang.String(i1942[9], i1941[9], i1943[9], a7876[9]))) → LOAD13105(java.lang.Object(ARRAY(i2[9], a7588data[9])), i1840[9] + 1, java.lang.Object(Tree(NULL, o8366[9], o8367[9])))

(0) -> (1), if ((java.lang.Object(ARRAY(i2[0], a7588data[0])) →* java.lang.Object(ARRAY(i2[1], a7588data[1])))∧(i1876[0]* i1840[1])∧(java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])) →* java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1]))))

(0) -> (4), if ((i1876[0]* i1840[4])∧(java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])) →* java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])))∧(java.lang.Object(ARRAY(i2[0], a7588data[0])) →* java.lang.Object(ARRAY(i2[4], a7588data[4]))))

(0) -> (7), if ((java.lang.Object(ARRAY(i2[0], a7588data[0])) →* java.lang.Object(ARRAY(i2[7], a7588data[7])))∧(i1876[0]* i1840[7])∧(java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])) →* java.lang.Object(Tree(NULL, o8366[7], o8367[7]))))

(1) -> (2), if ((java.lang.Object(java.lang.String(i1942[1], i1941[1], i1943[1], a7876[1])) →* java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))∧(java.lang.Object(ARRAY(i2[1], a7588data[1])) →* java.lang.Object(ARRAY(i2[2], a7588data[2])))∧(java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])) →* java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])))∧(i1840[1]* i1840[2]))

(2) -> (3), if ((java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])) →* java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[3], java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])), o8361[3])), o8361[3])))∧(i1942[2] >= 42 && i1840[2] > 0 && i1840[2] < i2[2] && i1840[2] + 1 > 0* TRUE)∧(java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])) →* java.lang.Object(java.lang.String(i1942[3], i1941[3], i1943[3], a7876[3])))∧(i1840[2]* i1840[3])∧(java.lang.Object(ARRAY(i2[2], a7588data[2])) →* java.lang.Object(ARRAY(i2[3], a7588data[3]))))

(3) -> (1), if ((java.lang.Object(ARRAY(i2[3], a7588data[3])) →* java.lang.Object(ARRAY(i2[1], a7588data[1])))∧(i1840[3] + 1* i1840[1])∧(java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])) →* java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1]))))

(3) -> (4), if ((java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])) →* java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])))∧(i1840[3] + 1* i1840[4])∧(java.lang.Object(ARRAY(i2[3], a7588data[3])) →* java.lang.Object(ARRAY(i2[4], a7588data[4]))))

(3) -> (7), if ((i1840[3] + 1* i1840[7])∧(java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])) →* java.lang.Object(Tree(NULL, o8366[7], o8367[7])))∧(java.lang.Object(ARRAY(i2[3], a7588data[3])) →* java.lang.Object(ARRAY(i2[7], a7588data[7]))))

(4) -> (5), if ((java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])) →* java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])))∧(i1840[4]* i1840[5])∧(java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4])) →* java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))∧(java.lang.Object(ARRAY(i2[4], a7588data[4])) →* java.lang.Object(ARRAY(i2[5], a7588data[5]))))

(5) -> (6), if ((java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])) →* java.lang.Object(java.lang.String(i1942[6], i1941[6], i1943[6], a7876[6])))∧(java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])) →* java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])), o8366[6], o8367[6])), NULL, o8367[6])))∧(i1840[5]* i1840[6])∧(java.lang.Object(ARRAY(i2[5], a7588data[5])) →* java.lang.Object(ARRAY(i2[6], a7588data[6])))∧(i1942[5] >= 0 && i1942[5] < 42 && i1840[5] > 0 && i1840[5] < i2[5] && i1840[5] + 1 > 0* TRUE))

(6) -> (1), if ((i1840[6] + 1* i1840[1])∧(java.lang.Object(ARRAY(i2[6], a7588data[6])) →* java.lang.Object(ARRAY(i2[1], a7588data[1])))∧(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])) →* java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1]))))

(6) -> (4), if ((java.lang.Object(ARRAY(i2[6], a7588data[6])) →* java.lang.Object(ARRAY(i2[4], a7588data[4])))∧(i1840[6] + 1* i1840[4])∧(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])) →* java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4]))))

(6) -> (7), if ((java.lang.Object(ARRAY(i2[6], a7588data[6])) →* java.lang.Object(ARRAY(i2[7], a7588data[7])))∧(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])) →* java.lang.Object(Tree(NULL, o8366[7], o8367[7])))∧(i1840[6] + 1* i1840[7]))

(7) -> (8), if ((java.lang.Object(java.lang.String(i1942[7], i1941[7], i1943[7], a7876[7])) →* java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))∧(i1840[7]* i1840[8])∧(java.lang.Object(ARRAY(i2[7], a7588data[7])) →* java.lang.Object(ARRAY(i2[8], a7588data[8])))∧(java.lang.Object(Tree(NULL, o8366[7], o8367[7])) →* java.lang.Object(Tree(NULL, o8366[8], o8367[8]))))

(8) -> (9), if ((i1942[8] >= 0 && i1942[8] < 42 && i1840[8] > 0 && i1840[8] < i2[8] && i1840[8] + 1 > 0* TRUE)∧(i1840[8]* i1840[9])∧(java.lang.Object(ARRAY(i2[8], a7588data[8])) →* java.lang.Object(ARRAY(i2[9], a7588data[9])))∧(java.lang.Object(Tree(NULL, o8366[8], o8367[8])) →* java.lang.Object(Tree(NULL, o8366[9], o8367[9])))∧(java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])) →* java.lang.Object(java.lang.String(i1942[9], i1941[9], i1943[9], a7876[9]))))

(9) -> (0), if ((i1840[9] + 1* i1876[0])∧(java.lang.Object(ARRAY(i2[9], a7588data[9])) →* java.lang.Object(ARRAY(i2[0], a7588data[0])))∧(java.lang.Object(Tree(NULL, o8366[9], o8367[9])) →* java.lang.Object(Tree(o8359[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])), o8361[0]))))

The set Q consists of the following terms:
Load13105(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)))
Load12814ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)), x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load12814ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)), x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)))
Load12814ARR2(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)), NULL, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load12814ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)), NULL, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)))
Load12814ARR3(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)), java.lang.Object(java.lang.String(x5, x6, x7, x8)))
Cond_Load12814ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)), java.lang.Object(java.lang.String(x5, x6, x7, x8)))

### (8) 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.

### (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

R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD13105(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8359[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])), o8361[0]))) → LOAD12814(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))
(1): LOAD12814(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1]))) → LOAD12814ARR1(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])), java.lang.Object(java.lang.String(i1942[1], i1941[1], i1943[1], a7876[1])))
(2): LOAD12814ARR1(java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2]))) → COND_LOAD12814ARR1(i1942[2] >= 42 && i1840[2] > 0 && i1840[2] < i2[2] && i1840[2] + 1 > 0, java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))
(3): COND_LOAD12814ARR1(TRUE, java.lang.Object(ARRAY(i2[3], a7588data[3])), i1840[3], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[3], java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])), o8361[3])), o8361[3])), java.lang.Object(java.lang.String(i1942[3], i1941[3], i1943[3], a7876[3]))) → LOAD12814(java.lang.Object(ARRAY(i2[3], a7588data[3])), i1840[3] + 1, java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])))
(4): LOAD12814(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4]))) → LOAD12814ARR2(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])), java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4])))
(5): LOAD12814ARR2(java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5]))) → COND_LOAD12814ARR2(i1942[5] >= 0 && i1942[5] < 42 && i1840[5] > 0 && i1840[5] < i2[5] && i1840[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))
(6): COND_LOAD12814ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a7588data[6])), i1840[6], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])), o8366[6], o8367[6])), NULL, o8367[6])), java.lang.Object(java.lang.String(i1942[6], i1941[6], i1943[6], a7876[6]))) → LOAD12814(java.lang.Object(ARRAY(i2[6], a7588data[6])), i1840[6] + 1, java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])))
(7): LOAD12814(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7]))) → LOAD12814ARR3(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7])), java.lang.Object(java.lang.String(i1942[7], i1941[7], i1943[7], a7876[7])))
(8): LOAD12814ARR3(java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8]))) → COND_LOAD12814ARR3(i1942[8] >= 0 && i1942[8] < 42 && i1840[8] > 0 && i1840[8] < i2[8] && i1840[8] + 1 > 0, java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))
(9): COND_LOAD12814ARR3(TRUE, java.lang.Object(ARRAY(i2[9], a7588data[9])), i1840[9], java.lang.Object(Tree(NULL, o8366[9], o8367[9])), java.lang.Object(java.lang.String(i1942[9], i1941[9], i1943[9], a7876[9]))) → LOAD13105(java.lang.Object(ARRAY(i2[9], a7588data[9])), i1840[9] + 1, java.lang.Object(Tree(NULL, o8366[9], o8367[9])))

(0) -> (1), if ((java.lang.Object(ARRAY(i2[0], a7588data[0])) →* java.lang.Object(ARRAY(i2[1], a7588data[1])))∧(i1876[0]* i1840[1])∧(java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])) →* java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1]))))

(0) -> (4), if ((i1876[0]* i1840[4])∧(java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])) →* java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])))∧(java.lang.Object(ARRAY(i2[0], a7588data[0])) →* java.lang.Object(ARRAY(i2[4], a7588data[4]))))

(0) -> (7), if ((java.lang.Object(ARRAY(i2[0], a7588data[0])) →* java.lang.Object(ARRAY(i2[7], a7588data[7])))∧(i1876[0]* i1840[7])∧(java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])) →* java.lang.Object(Tree(NULL, o8366[7], o8367[7]))))

(1) -> (2), if ((java.lang.Object(java.lang.String(i1942[1], i1941[1], i1943[1], a7876[1])) →* java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))∧(java.lang.Object(ARRAY(i2[1], a7588data[1])) →* java.lang.Object(ARRAY(i2[2], a7588data[2])))∧(java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])) →* java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])))∧(i1840[1]* i1840[2]))

(2) -> (3), if ((java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])) →* java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[3], java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])), o8361[3])), o8361[3])))∧(i1942[2] >= 42 && i1840[2] > 0 && i1840[2] < i2[2] && i1840[2] + 1 > 0* TRUE)∧(java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])) →* java.lang.Object(java.lang.String(i1942[3], i1941[3], i1943[3], a7876[3])))∧(i1840[2]* i1840[3])∧(java.lang.Object(ARRAY(i2[2], a7588data[2])) →* java.lang.Object(ARRAY(i2[3], a7588data[3]))))

(3) -> (1), if ((java.lang.Object(ARRAY(i2[3], a7588data[3])) →* java.lang.Object(ARRAY(i2[1], a7588data[1])))∧(i1840[3] + 1* i1840[1])∧(java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])) →* java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1]))))

(3) -> (4), if ((java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])) →* java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])))∧(i1840[3] + 1* i1840[4])∧(java.lang.Object(ARRAY(i2[3], a7588data[3])) →* java.lang.Object(ARRAY(i2[4], a7588data[4]))))

(3) -> (7), if ((i1840[3] + 1* i1840[7])∧(java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])) →* java.lang.Object(Tree(NULL, o8366[7], o8367[7])))∧(java.lang.Object(ARRAY(i2[3], a7588data[3])) →* java.lang.Object(ARRAY(i2[7], a7588data[7]))))

(4) -> (5), if ((java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])) →* java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])))∧(i1840[4]* i1840[5])∧(java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4])) →* java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))∧(java.lang.Object(ARRAY(i2[4], a7588data[4])) →* java.lang.Object(ARRAY(i2[5], a7588data[5]))))

(5) -> (6), if ((java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])) →* java.lang.Object(java.lang.String(i1942[6], i1941[6], i1943[6], a7876[6])))∧(java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])) →* java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])), o8366[6], o8367[6])), NULL, o8367[6])))∧(i1840[5]* i1840[6])∧(java.lang.Object(ARRAY(i2[5], a7588data[5])) →* java.lang.Object(ARRAY(i2[6], a7588data[6])))∧(i1942[5] >= 0 && i1942[5] < 42 && i1840[5] > 0 && i1840[5] < i2[5] && i1840[5] + 1 > 0* TRUE))

(6) -> (1), if ((i1840[6] + 1* i1840[1])∧(java.lang.Object(ARRAY(i2[6], a7588data[6])) →* java.lang.Object(ARRAY(i2[1], a7588data[1])))∧(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])) →* java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1]))))

(6) -> (4), if ((java.lang.Object(ARRAY(i2[6], a7588data[6])) →* java.lang.Object(ARRAY(i2[4], a7588data[4])))∧(i1840[6] + 1* i1840[4])∧(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])) →* java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4]))))

(6) -> (7), if ((java.lang.Object(ARRAY(i2[6], a7588data[6])) →* java.lang.Object(ARRAY(i2[7], a7588data[7])))∧(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])) →* java.lang.Object(Tree(NULL, o8366[7], o8367[7])))∧(i1840[6] + 1* i1840[7]))

(7) -> (8), if ((java.lang.Object(java.lang.String(i1942[7], i1941[7], i1943[7], a7876[7])) →* java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))∧(i1840[7]* i1840[8])∧(java.lang.Object(ARRAY(i2[7], a7588data[7])) →* java.lang.Object(ARRAY(i2[8], a7588data[8])))∧(java.lang.Object(Tree(NULL, o8366[7], o8367[7])) →* java.lang.Object(Tree(NULL, o8366[8], o8367[8]))))

(8) -> (9), if ((i1942[8] >= 0 && i1942[8] < 42 && i1840[8] > 0 && i1840[8] < i2[8] && i1840[8] + 1 > 0* TRUE)∧(i1840[8]* i1840[9])∧(java.lang.Object(ARRAY(i2[8], a7588data[8])) →* java.lang.Object(ARRAY(i2[9], a7588data[9])))∧(java.lang.Object(Tree(NULL, o8366[8], o8367[8])) →* java.lang.Object(Tree(NULL, o8366[9], o8367[9])))∧(java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])) →* java.lang.Object(java.lang.String(i1942[9], i1941[9], i1943[9], a7876[9]))))

(9) -> (0), if ((i1840[9] + 1* i1876[0])∧(java.lang.Object(ARRAY(i2[9], a7588data[9])) →* java.lang.Object(ARRAY(i2[0], a7588data[0])))∧(java.lang.Object(Tree(NULL, o8366[9], o8367[9])) →* java.lang.Object(Tree(o8359[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])), o8361[0]))))

The set Q consists of the following terms:
Load13105(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)))
Load12814ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)), x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load12814ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)), x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)))
Load12814ARR2(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)), NULL, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load12814ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)), NULL, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)))
Load12814ARR3(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)), java.lang.Object(java.lang.String(x5, x6, x7, x8)))
Cond_Load12814ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)), java.lang.Object(java.lang.String(x5, x6, x7, x8)))

### (10) ItpfGraphProof (EQUIVALENT transformation)

Applied rule ItpfICap [ICap]

### (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): LOAD13105(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8359[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])), o8361[0]))) → LOAD12814(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))
(1): LOAD12814(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1]))) → LOAD12814ARR1(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])), java.lang.Object(java.lang.String(i1942[1], i1941[1], i1943[1], a7876[1])))
(2): LOAD12814ARR1(java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2]))) → COND_LOAD12814ARR1(i1942[2] >= 42 && i1840[2] > 0 && i1840[2] < i2[2] && i1840[2] + 1 > 0, java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))
(3): COND_LOAD12814ARR1(TRUE, java.lang.Object(ARRAY(i2[3], a7588data[3])), i1840[3], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[3], java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])), o8361[3])), o8361[3])), java.lang.Object(java.lang.String(i1942[3], i1941[3], i1943[3], a7876[3]))) → LOAD12814(java.lang.Object(ARRAY(i2[3], a7588data[3])), i1840[3] + 1, java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])))
(4): LOAD12814(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4]))) → LOAD12814ARR2(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])), java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4])))
(5): LOAD12814ARR2(java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5]))) → COND_LOAD12814ARR2(i1942[5] >= 0 && i1942[5] < 42 && i1840[5] > 0 && i1840[5] < i2[5] && i1840[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))
(6): COND_LOAD12814ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a7588data[6])), i1840[6], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])), o8366[6], o8367[6])), NULL, o8367[6])), java.lang.Object(java.lang.String(i1942[6], i1941[6], i1943[6], a7876[6]))) → LOAD12814(java.lang.Object(ARRAY(i2[6], a7588data[6])), i1840[6] + 1, java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])))
(7): LOAD12814(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7]))) → LOAD12814ARR3(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7])), java.lang.Object(java.lang.String(i1942[7], i1941[7], i1943[7], a7876[7])))
(8): LOAD12814ARR3(java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8]))) → COND_LOAD12814ARR3(i1942[8] >= 0 && i1942[8] < 42 && i1840[8] > 0 && i1840[8] < i2[8] && i1840[8] + 1 > 0, java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))
(9): COND_LOAD12814ARR3(TRUE, java.lang.Object(ARRAY(i2[9], a7588data[9])), i1840[9], java.lang.Object(Tree(NULL, o8366[9], o8367[9])), java.lang.Object(java.lang.String(i1942[9], i1941[9], i1943[9], a7876[9]))) → LOAD13105(java.lang.Object(ARRAY(i2[9], a7588data[9])), i1840[9] + 1, java.lang.Object(Tree(NULL, o8366[9], o8367[9])))

(0) -> (1), if (((i2[0]* i2[1])∧(a7588data[0]* a7588data[1]))∧(i1876[0]* i1840[1])∧((o8442Field0[0]* o8359[1])∧(o8442Field1[0]* java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])))∧(o8442Field2[0]* o8361[1])))

(0) -> (4), if ((i1876[0]* i1840[4])∧((o8442Field0[0]* java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])))∧(o8442Field1[0]* o8366[4])∧(o8442Field2[0]* o8367[4]))∧((i2[0]* i2[4])∧(a7588data[0]* a7588data[4])))

(0) -> (7), if (((i2[0]* i2[7])∧(a7588data[0]* a7588data[7]))∧(i1876[0]* i1840[7])∧((o8442Field0[0]* NULL)∧(o8442Field1[0]* o8366[7])∧(o8442Field2[0]* o8367[7])))

(1) -> (2), if (((i1942[1]* i1942[2])∧(i1941[1]* i1941[2])∧(i1943[1]* i1943[2])∧(a7876[1]* a7876[2]))∧((i2[1]* i2[2])∧(a7588data[1]* a7588data[2]))∧((o8359[1]* NULL)∧(o8442Field0[1]* o8359[2])∧(o8442Field1[1]* java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])))∧(o8442Field2[1]* o8361[2])∧(o8361[1]* o8361[2]))∧(i1840[1]* i1840[2]))

(2) -> (3), if (((o8359[2]* o8359[3])∧(o8442Field0[2]* o8442Field0[3])∧(o8442Field1[2]* o8442Field1[3])∧(o8442Field2[2]* o8442Field2[3])∧(o8361[2]* o8361[3]))∧(i1942[2] >= 42 && i1840[2] > 0 && i1840[2] < i2[2] && i1840[2] + 1 > 0* TRUE)∧((i1942[2]* i1942[3])∧(i1941[2]* i1941[3])∧(i1943[2]* i1943[3])∧(a7876[2]* a7876[3]))∧(i1840[2]* i1840[3])∧((i2[2]* i2[3])∧(a7588data[2]* a7588data[3])))

(3) -> (1), if (((i2[3]* i2[1])∧(a7588data[3]* a7588data[1]))∧(i1840[3] + 1* i1840[1])∧((o8442Field0[3]* o8359[1])∧(o8442Field1[3]* java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])))∧(o8442Field2[3]* o8361[1])))

(3) -> (4), if (((o8442Field0[3]* java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])))∧(o8442Field1[3]* o8366[4])∧(o8442Field2[3]* o8367[4]))∧(i1840[3] + 1* i1840[4])∧((i2[3]* i2[4])∧(a7588data[3]* a7588data[4])))

(3) -> (7), if ((i1840[3] + 1* i1840[7])∧((o8442Field0[3]* NULL)∧(o8442Field1[3]* o8366[7])∧(o8442Field2[3]* o8367[7]))∧((i2[3]* i2[7])∧(a7588data[3]* a7588data[7])))

(4) -> (5), if (((o8443Field0[4]* java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])))∧(o8443Field1[4]* o8366[5])∧(o8443Field2[4]* o8367[5])∧(o8366[4]* NULL)∧(o8367[4]* o8367[5]))∧(i1840[4]* i1840[5])∧((i1942[4]* i1942[5])∧(i1941[4]* i1941[5])∧(i1943[4]* i1943[5])∧(a7876[4]* a7876[5]))∧((i2[4]* i2[5])∧(a7588data[4]* a7588data[5])))

(5) -> (6), if (((i1942[5]* i1942[6])∧(i1941[5]* i1941[6])∧(i1943[5]* i1943[6])∧(a7876[5]* a7876[6]))∧((o8443Field0[5]* o8443Field0[6])∧(o8443Field1[5]* o8443Field1[6])∧(o8443Field2[5]* o8443Field2[6])∧(o8366[5]* o8366[6])∧(o8367[5]* o8367[6]))∧(i1840[5]* i1840[6])∧((i2[5]* i2[6])∧(a7588data[5]* a7588data[6]))∧(i1942[5] >= 0 && i1942[5] < 42 && i1840[5] > 0 && i1840[5] < i2[5] && i1840[5] + 1 > 0* TRUE))

(6) -> (1), if ((i1840[6] + 1* i1840[1])∧((i2[6]* i2[1])∧(a7588data[6]* a7588data[1]))∧((o8443Field0[6]* o8359[1])∧(o8443Field1[6]* java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])))∧(o8443Field2[6]* o8361[1])))

(6) -> (4), if (((i2[6]* i2[4])∧(a7588data[6]* a7588data[4]))∧(i1840[6] + 1* i1840[4])∧((o8443Field0[6]* java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])))∧(o8443Field1[6]* o8366[4])∧(o8443Field2[6]* o8367[4])))

(6) -> (7), if (((i2[6]* i2[7])∧(a7588data[6]* a7588data[7]))∧((o8443Field0[6]* NULL)∧(o8443Field1[6]* o8366[7])∧(o8443Field2[6]* o8367[7]))∧(i1840[6] + 1* i1840[7]))

(7) -> (8), if (((i1942[7]* i1942[8])∧(i1941[7]* i1941[8])∧(i1943[7]* i1943[8])∧(a7876[7]* a7876[8]))∧(i1840[7]* i1840[8])∧((i2[7]* i2[8])∧(a7588data[7]* a7588data[8]))∧((o8366[7]* o8366[8])∧(o8367[7]* o8367[8])))

(8) -> (9), if ((i1942[8] >= 0 && i1942[8] < 42 && i1840[8] > 0 && i1840[8] < i2[8] && i1840[8] + 1 > 0* TRUE)∧(i1840[8]* i1840[9])∧((i2[8]* i2[9])∧(a7588data[8]* a7588data[9]))∧((o8366[8]* o8366[9])∧(o8367[8]* o8367[9]))∧((i1942[8]* i1942[9])∧(i1941[8]* i1941[9])∧(i1943[8]* i1943[9])∧(a7876[8]* a7876[9])))

(9) -> (0), if ((i1840[9] + 1* i1876[0])∧((i2[9]* i2[0])∧(a7588data[9]* a7588data[0]))∧((o8366[9]* java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))∧(o8367[9]* o8361[0])))

The set Q consists of the following terms:
Load13105(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)))
Load12814ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)), x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load12814ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)), x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)))
Load12814ARR2(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)), NULL, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load12814ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)), NULL, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)))
Load12814ARR3(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)), java.lang.Object(java.lang.String(x5, x6, x7, x8)))
Cond_Load12814ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)), java.lang.Object(java.lang.String(x5, x6, x7, x8)))

### (12) 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 LOAD13105(java.lang.Object(ARRAY(i2, a7588data)), i1876, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361))) → LOAD12814(java.lang.Object(ARRAY(i2, a7588data)), i1876, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2))) the following chains were created:
• We consider the chain LOAD13105(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8359[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])), o8361[0]))) → LOAD12814(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0]))) which results in the following constraint:

(1)    (LOAD13105(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8359[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])), o8361[0])))≥NonInfC∧LOAD13105(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8359[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])), o8361[0])))≥LOAD12814(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))∧(UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))), ≥))

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

(2)    ((UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))), ≥)∧[(-1)bso_31] ≥ 0)

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

(3)    ((UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))), ≥)∧[(-1)bso_31] ≥ 0)

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

(4)    ((UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))), ≥)∧[(-1)bso_31] ≥ 0)

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

(5)    ((UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)

For Pair LOAD12814(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361))) → LOAD12814ARR1(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) the following chains were created:
• We consider the chain LOAD12814(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1]))) → LOAD12814ARR1(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])), java.lang.Object(java.lang.String(i1942[1], i1941[1], i1943[1], a7876[1]))) which results in the following constraint:

(6)    (LOAD12814(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])))≥NonInfC∧LOAD12814(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])))≥LOAD12814ARR1(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])), java.lang.Object(java.lang.String(i1942[1], i1941[1], i1943[1], a7876[1])))∧(UIncreasing(LOAD12814ARR1(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])), java.lang.Object(java.lang.String(i1942[1], i1941[1], i1943[1], a7876[1])))), ≥))

We simplified constraint (6) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(7)    ((UIncreasing(LOAD12814ARR1(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])), java.lang.Object(java.lang.String(i1942[1], i1941[1], i1943[1], a7876[1])))), ≥)∧[1 + (-1)bso_33] ≥ 0)

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

(8)    ((UIncreasing(LOAD12814ARR1(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])), java.lang.Object(java.lang.String(i1942[1], i1941[1], i1943[1], a7876[1])))), ≥)∧[1 + (-1)bso_33] ≥ 0)

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

(9)    ((UIncreasing(LOAD12814ARR1(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])), java.lang.Object(java.lang.String(i1942[1], i1941[1], i1943[1], a7876[1])))), ≥)∧[1 + (-1)bso_33] ≥ 0)

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

(10)    ((UIncreasing(LOAD12814ARR1(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])), java.lang.Object(java.lang.String(i1942[1], i1941[1], i1943[1], a7876[1])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_33] ≥ 0)

For Pair LOAD12814ARR1(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → COND_LOAD12814ARR1(&&(&&(&&(>=(i1942, 42), >(i1840, 0)), <(i1840, i2)), >(+(i1840, 1), 0)), java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) the following chains were created:
• We consider the chain LOAD12814ARR1(java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2]))) → COND_LOAD12814ARR1(&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0)), java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2]))), COND_LOAD12814ARR1(TRUE, java.lang.Object(ARRAY(i2[3], a7588data[3])), i1840[3], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[3], java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])), o8361[3])), o8361[3])), java.lang.Object(java.lang.String(i1942[3], i1941[3], i1943[3], a7876[3]))) → LOAD12814(java.lang.Object(ARRAY(i2[3], a7588data[3])), +(i1840[3], 1), java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3]))) which results in the following constraint:

(11)    (o8359[2]=o8359[3]o8442Field0[2]=o8442Field0[3]o8442Field1[2]=o8442Field1[3]o8442Field2[2]=o8442Field2[3]o8361[2]=o8361[3]&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0))=TRUEi1942[2]=i1942[3]i1941[2]=i1941[3]i1943[2]=i1943[3]a7876[2]=a7876[3]i1840[2]=i1840[3]i2[2]=i2[3]a7588data[2]=a7588data[3]LOAD12814ARR1(java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))≥NonInfC∧LOAD12814ARR1(java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))≥COND_LOAD12814ARR1(&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0)), java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))∧(UIncreasing(COND_LOAD12814ARR1(&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0)), java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))), ≥))

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

(12)    (>(+(i1840[2], 1), 0)=TRUE<(i1840[2], i2[2])=TRUE>=(i1942[2], 42)=TRUE>(i1840[2], 0)=TRUELOAD12814ARR1(java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))≥NonInfC∧LOAD12814ARR1(java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))≥COND_LOAD12814ARR1(&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0)), java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))∧(UIncreasing(COND_LOAD12814ARR1(&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0)), java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))), ≥))

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

(13)    (i1840[2] ≥ 0∧i2[2] + [-1] + [-1]i1840[2] ≥ 0∧i1942[2] + [-42] ≥ 0∧i1840[2] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR1(&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0)), java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))), ≥)∧[bni_34 + (-1)Bound*bni_34] + [(-1)bni_34]i1840[2] + [bni_34]i2[2] ≥ 0∧[(-1)bso_35] ≥ 0)

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

(14)    (i1840[2] ≥ 0∧i2[2] + [-1] + [-1]i1840[2] ≥ 0∧i1942[2] + [-42] ≥ 0∧i1840[2] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR1(&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0)), java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))), ≥)∧[bni_34 + (-1)Bound*bni_34] + [(-1)bni_34]i1840[2] + [bni_34]i2[2] ≥ 0∧[(-1)bso_35] ≥ 0)

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

(15)    (i1840[2] ≥ 0∧i2[2] + [-1] + [-1]i1840[2] ≥ 0∧i1942[2] + [-42] ≥ 0∧i1840[2] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR1(&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0)), java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))), ≥)∧[bni_34 + (-1)Bound*bni_34] + [(-1)bni_34]i1840[2] + [bni_34]i2[2] ≥ 0∧[(-1)bso_35] ≥ 0)

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

(16)    (i1840[2] ≥ 0∧i2[2] + [-1] + [-1]i1840[2] ≥ 0∧i1942[2] + [-42] ≥ 0∧i1840[2] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR1(&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0)), java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[bni_34 + (-1)Bound*bni_34] + [(-1)bni_34]i1840[2] + [bni_34]i2[2] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

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

(17)    ([1] + i1840[2] ≥ 0∧i2[2] + [-2] + [-1]i1840[2] ≥ 0∧i1942[2] + [-42] ≥ 0∧i1840[2] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR1(&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0)), java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_34] + [(-1)bni_34]i1840[2] + [bni_34]i2[2] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

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

(18)    ([1] + i1840[2] ≥ 0∧i2[2] ≥ 0∧i1942[2] + [-42] ≥ 0∧i1840[2] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR1(&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0)), java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_34 + (2)bni_34] + [bni_34]i2[2] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

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

(19)    ([1] + i1840[2] ≥ 0∧i2[2] ≥ 0∧i1942[2] ≥ 0∧i1840[2] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR1(&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0)), java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_34 + (2)bni_34] + [bni_34]i2[2] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

For Pair COND_LOAD12814ARR1(TRUE, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → LOAD12814(java.lang.Object(ARRAY(i2, a7588data)), +(i1840, 1), java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2))) the following chains were created:
• We consider the chain COND_LOAD12814ARR1(TRUE, java.lang.Object(ARRAY(i2[3], a7588data[3])), i1840[3], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[3], java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])), o8361[3])), o8361[3])), java.lang.Object(java.lang.String(i1942[3], i1941[3], i1943[3], a7876[3]))) → LOAD12814(java.lang.Object(ARRAY(i2[3], a7588data[3])), +(i1840[3], 1), java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3]))) which results in the following constraint:

(20)    (COND_LOAD12814ARR1(TRUE, java.lang.Object(ARRAY(i2[3], a7588data[3])), i1840[3], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[3], java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])), o8361[3])), o8361[3])), java.lang.Object(java.lang.String(i1942[3], i1941[3], i1943[3], a7876[3])))≥NonInfC∧COND_LOAD12814ARR1(TRUE, java.lang.Object(ARRAY(i2[3], a7588data[3])), i1840[3], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[3], java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])), o8361[3])), o8361[3])), java.lang.Object(java.lang.String(i1942[3], i1941[3], i1943[3], a7876[3])))≥LOAD12814(java.lang.Object(ARRAY(i2[3], a7588data[3])), +(i1840[3], 1), java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])))∧(UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[3], a7588data[3])), +(i1840[3], 1), java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])))), ≥))

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

(21)    ((UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[3], a7588data[3])), +(i1840[3], 1), java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])))), ≥)∧[(-1)bso_37] ≥ 0)

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

(22)    ((UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[3], a7588data[3])), +(i1840[3], 1), java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])))), ≥)∧[(-1)bso_37] ≥ 0)

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

(23)    ((UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[3], a7588data[3])), +(i1840[3], 1), java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])))), ≥)∧[(-1)bso_37] ≥ 0)

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

(24)    ((UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[3], a7588data[3])), +(i1840[3], 1), java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)

For Pair LOAD12814(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367))) → LOAD12814ARR2(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) the following chains were created:
• We consider the chain LOAD12814(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4]))) → LOAD12814ARR2(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])), java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4]))) which results in the following constraint:

(25)    (LOAD12814(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])))≥NonInfC∧LOAD12814(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])))≥LOAD12814ARR2(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])), java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4])))∧(UIncreasing(LOAD12814ARR2(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])), java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4])))), ≥))

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

(26)    ((UIncreasing(LOAD12814ARR2(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])), java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4])))), ≥)∧[(-1)bso_39] ≥ 0)

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

(27)    ((UIncreasing(LOAD12814ARR2(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])), java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4])))), ≥)∧[(-1)bso_39] ≥ 0)

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

(28)    ((UIncreasing(LOAD12814ARR2(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])), java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4])))), ≥)∧[(-1)bso_39] ≥ 0)

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

(29)    ((UIncreasing(LOAD12814ARR2(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])), java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)

For Pair LOAD12814ARR2(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), NULL, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942, 0), <(i1942, 42)), >(i1840, 0)), <(i1840, i2)), >(+(i1840, 1), 0)), java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), NULL, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) the following chains were created:
• We consider the chain LOAD12814ARR2(java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5]))) → COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942[5], 0), <(i1942[5], 42)), >(i1840[5], 0)), <(i1840[5], i2[5])), >(+(i1840[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5]))), COND_LOAD12814ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a7588data[6])), i1840[6], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])), o8366[6], o8367[6])), NULL, o8367[6])), java.lang.Object(java.lang.String(i1942[6], i1941[6], i1943[6], a7876[6]))) → LOAD12814(java.lang.Object(ARRAY(i2[6], a7588data[6])), +(i1840[6], 1), java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6]))) which results in the following constraint:

(30)    (i1942[5]=i1942[6]i1941[5]=i1941[6]i1943[5]=i1943[6]a7876[5]=a7876[6]o8443Field0[5]=o8443Field0[6]o8443Field1[5]=o8443Field1[6]o8443Field2[5]=o8443Field2[6]o8366[5]=o8366[6]o8367[5]=o8367[6]i1840[5]=i1840[6]i2[5]=i2[6]a7588data[5]=a7588data[6]&&(&&(&&(&&(>=(i1942[5], 0), <(i1942[5], 42)), >(i1840[5], 0)), <(i1840[5], i2[5])), >(+(i1840[5], 1), 0))=TRUELOAD12814ARR2(java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))≥NonInfC∧LOAD12814ARR2(java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))≥COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942[5], 0), <(i1942[5], 42)), >(i1840[5], 0)), <(i1840[5], i2[5])), >(+(i1840[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))∧(UIncreasing(COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942[5], 0), <(i1942[5], 42)), >(i1840[5], 0)), <(i1840[5], i2[5])), >(+(i1840[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))), ≥))

We simplified constraint (30) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

(31)    (>(+(i1840[5], 1), 0)=TRUE<(i1840[5], i2[5])=TRUE>(i1840[5], 0)=TRUE>=(i1942[5], 0)=TRUE<(i1942[5], 42)=TRUELOAD12814ARR2(java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))≥NonInfC∧LOAD12814ARR2(java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))≥COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942[5], 0), <(i1942[5], 42)), >(i1840[5], 0)), <(i1840[5], i2[5])), >(+(i1840[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))∧(UIncreasing(COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942[5], 0), <(i1942[5], 42)), >(i1840[5], 0)), <(i1840[5], i2[5])), >(+(i1840[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))), ≥))

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

(32)    (i1840[5] ≥ 0∧i2[5] + [-1] + [-1]i1840[5] ≥ 0∧i1840[5] + [-1] ≥ 0∧i1942[5] ≥ 0∧[41] + [-1]i1942[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942[5], 0), <(i1942[5], 42)), >(i1840[5], 0)), <(i1840[5], i2[5])), >(+(i1840[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))), ≥)∧[(2)bni_40 + (-1)Bound*bni_40] + [(-1)bni_40]i1840[5] + [bni_40]i2[5] ≥ 0∧[1 + (-1)bso_41] ≥ 0)

We simplified constraint (32) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(33)    (i1840[5] ≥ 0∧i2[5] + [-1] + [-1]i1840[5] ≥ 0∧i1840[5] + [-1] ≥ 0∧i1942[5] ≥ 0∧[41] + [-1]i1942[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942[5], 0), <(i1942[5], 42)), >(i1840[5], 0)), <(i1840[5], i2[5])), >(+(i1840[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))), ≥)∧[(2)bni_40 + (-1)Bound*bni_40] + [(-1)bni_40]i1840[5] + [bni_40]i2[5] ≥ 0∧[1 + (-1)bso_41] ≥ 0)

We simplified constraint (33) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(34)    (i1840[5] ≥ 0∧i2[5] + [-1] + [-1]i1840[5] ≥ 0∧i1840[5] + [-1] ≥ 0∧i1942[5] ≥ 0∧[41] + [-1]i1942[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942[5], 0), <(i1942[5], 42)), >(i1840[5], 0)), <(i1840[5], i2[5])), >(+(i1840[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))), ≥)∧[(2)bni_40 + (-1)Bound*bni_40] + [(-1)bni_40]i1840[5] + [bni_40]i2[5] ≥ 0∧[1 + (-1)bso_41] ≥ 0)

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

(35)    (i1840[5] ≥ 0∧i2[5] + [-1] + [-1]i1840[5] ≥ 0∧i1840[5] + [-1] ≥ 0∧i1942[5] ≥ 0∧[41] + [-1]i1942[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942[5], 0), <(i1942[5], 42)), >(i1840[5], 0)), <(i1840[5], i2[5])), >(+(i1840[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(2)bni_40 + (-1)Bound*bni_40] + [(-1)bni_40]i1840[5] + [bni_40]i2[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_41] ≥ 0)

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

(36)    ([1] + i1840[5] ≥ 0∧i2[5] + [-2] + [-1]i1840[5] ≥ 0∧i1840[5] ≥ 0∧i1942[5] ≥ 0∧[41] + [-1]i1942[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942[5], 0), <(i1942[5], 42)), >(i1840[5], 0)), <(i1840[5], i2[5])), >(+(i1840[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[bni_40 + (-1)Bound*bni_40] + [(-1)bni_40]i1840[5] + [bni_40]i2[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_41] ≥ 0)

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

(37)    ([1] + i1840[5] ≥ 0∧i2[5] ≥ 0∧i1840[5] ≥ 0∧i1942[5] ≥ 0∧[41] + [-1]i1942[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942[5], 0), <(i1942[5], 42)), >(i1840[5], 0)), <(i1840[5], i2[5])), >(+(i1840[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(3)bni_40 + (-1)Bound*bni_40] + [bni_40]i2[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_41] ≥ 0)

For Pair COND_LOAD12814ARR2(TRUE, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), NULL, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → LOAD12814(java.lang.Object(ARRAY(i2, a7588data)), +(i1840, 1), java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2))) the following chains were created:
• We consider the chain COND_LOAD12814ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a7588data[6])), i1840[6], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])), o8366[6], o8367[6])), NULL, o8367[6])), java.lang.Object(java.lang.String(i1942[6], i1941[6], i1943[6], a7876[6]))) → LOAD12814(java.lang.Object(ARRAY(i2[6], a7588data[6])), +(i1840[6], 1), java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6]))) which results in the following constraint:

(38)    (COND_LOAD12814ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a7588data[6])), i1840[6], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])), o8366[6], o8367[6])), NULL, o8367[6])), java.lang.Object(java.lang.String(i1942[6], i1941[6], i1943[6], a7876[6])))≥NonInfC∧COND_LOAD12814ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a7588data[6])), i1840[6], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])), o8366[6], o8367[6])), NULL, o8367[6])), java.lang.Object(java.lang.String(i1942[6], i1941[6], i1943[6], a7876[6])))≥LOAD12814(java.lang.Object(ARRAY(i2[6], a7588data[6])), +(i1840[6], 1), java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])))∧(UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[6], a7588data[6])), +(i1840[6], 1), java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])))), ≥))

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

(39)    ((UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[6], a7588data[6])), +(i1840[6], 1), java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])))), ≥)∧[(-1)bso_43] ≥ 0)

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

(40)    ((UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[6], a7588data[6])), +(i1840[6], 1), java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])))), ≥)∧[(-1)bso_43] ≥ 0)

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

(41)    ((UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[6], a7588data[6])), +(i1840[6], 1), java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])))), ≥)∧[(-1)bso_43] ≥ 0)

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

(42)    ((UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[6], a7588data[6])), +(i1840[6], 1), java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_43] ≥ 0)

For Pair LOAD12814(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367))) → LOAD12814ARR3(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) the following chains were created:
• We consider the chain LOAD12814(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7]))) → LOAD12814ARR3(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7])), java.lang.Object(java.lang.String(i1942[7], i1941[7], i1943[7], a7876[7]))) which results in the following constraint:

(43)    (LOAD12814(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7])))≥NonInfC∧LOAD12814(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7])))≥LOAD12814ARR3(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7])), java.lang.Object(java.lang.String(i1942[7], i1941[7], i1943[7], a7876[7])))∧(UIncreasing(LOAD12814ARR3(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7])), java.lang.Object(java.lang.String(i1942[7], i1941[7], i1943[7], a7876[7])))), ≥))

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

(44)    ((UIncreasing(LOAD12814ARR3(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7])), java.lang.Object(java.lang.String(i1942[7], i1941[7], i1943[7], a7876[7])))), ≥)∧[1 + (-1)bso_45] ≥ 0)

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

(45)    ((UIncreasing(LOAD12814ARR3(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7])), java.lang.Object(java.lang.String(i1942[7], i1941[7], i1943[7], a7876[7])))), ≥)∧[1 + (-1)bso_45] ≥ 0)

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

(46)    ((UIncreasing(LOAD12814ARR3(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7])), java.lang.Object(java.lang.String(i1942[7], i1941[7], i1943[7], a7876[7])))), ≥)∧[1 + (-1)bso_45] ≥ 0)

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

(47)    ((UIncreasing(LOAD12814ARR3(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7])), java.lang.Object(java.lang.String(i1942[7], i1941[7], i1943[7], a7876[7])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_45] ≥ 0)

For Pair LOAD12814ARR3(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942, 0), <(i1942, 42)), >(i1840, 0)), <(i1840, i2)), >(+(i1840, 1), 0)), java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) the following chains were created:
• We consider the chain LOAD12814ARR3(java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8]))) → COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942[8], 0), <(i1942[8], 42)), >(i1840[8], 0)), <(i1840[8], i2[8])), >(+(i1840[8], 1), 0)), java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8]))), COND_LOAD12814ARR3(TRUE, java.lang.Object(ARRAY(i2[9], a7588data[9])), i1840[9], java.lang.Object(Tree(NULL, o8366[9], o8367[9])), java.lang.Object(java.lang.String(i1942[9], i1941[9], i1943[9], a7876[9]))) → LOAD13105(java.lang.Object(ARRAY(i2[9], a7588data[9])), +(i1840[9], 1), java.lang.Object(Tree(NULL, o8366[9], o8367[9]))) which results in the following constraint:

(48)    (&&(&&(&&(&&(>=(i1942[8], 0), <(i1942[8], 42)), >(i1840[8], 0)), <(i1840[8], i2[8])), >(+(i1840[8], 1), 0))=TRUEi1840[8]=i1840[9]i2[8]=i2[9]a7588data[8]=a7588data[9]o8366[8]=o8366[9]o8367[8]=o8367[9]i1942[8]=i1942[9]i1941[8]=i1941[9]i1943[8]=i1943[9]a7876[8]=a7876[9]LOAD12814ARR3(java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))≥NonInfC∧LOAD12814ARR3(java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))≥COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942[8], 0), <(i1942[8], 42)), >(i1840[8], 0)), <(i1840[8], i2[8])), >(+(i1840[8], 1), 0)), java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))∧(UIncreasing(COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942[8], 0), <(i1942[8], 42)), >(i1840[8], 0)), <(i1840[8], i2[8])), >(+(i1840[8], 1), 0)), java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))), ≥))

We simplified constraint (48) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

(49)    (>(+(i1840[8], 1), 0)=TRUE<(i1840[8], i2[8])=TRUE>(i1840[8], 0)=TRUE>=(i1942[8], 0)=TRUE<(i1942[8], 42)=TRUELOAD12814ARR3(java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))≥NonInfC∧LOAD12814ARR3(java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))≥COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942[8], 0), <(i1942[8], 42)), >(i1840[8], 0)), <(i1840[8], i2[8])), >(+(i1840[8], 1), 0)), java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))∧(UIncreasing(COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942[8], 0), <(i1942[8], 42)), >(i1840[8], 0)), <(i1840[8], i2[8])), >(+(i1840[8], 1), 0)), java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))), ≥))

We simplified constraint (49) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(50)    (i1840[8] ≥ 0∧i2[8] + [-1] + [-1]i1840[8] ≥ 0∧i1840[8] + [-1] ≥ 0∧i1942[8] ≥ 0∧[41] + [-1]i1942[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942[8], 0), <(i1942[8], 42)), >(i1840[8], 0)), <(i1840[8], i2[8])), >(+(i1840[8], 1), 0)), java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))), ≥)∧[bni_46 + (-1)Bound*bni_46] + [(-1)bni_46]i1840[8] + [bni_46]i2[8] ≥ 0∧[(-1)bso_47] ≥ 0)

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

(51)    (i1840[8] ≥ 0∧i2[8] + [-1] + [-1]i1840[8] ≥ 0∧i1840[8] + [-1] ≥ 0∧i1942[8] ≥ 0∧[41] + [-1]i1942[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942[8], 0), <(i1942[8], 42)), >(i1840[8], 0)), <(i1840[8], i2[8])), >(+(i1840[8], 1), 0)), java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))), ≥)∧[bni_46 + (-1)Bound*bni_46] + [(-1)bni_46]i1840[8] + [bni_46]i2[8] ≥ 0∧[(-1)bso_47] ≥ 0)

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

(52)    (i1840[8] ≥ 0∧i2[8] + [-1] + [-1]i1840[8] ≥ 0∧i1840[8] + [-1] ≥ 0∧i1942[8] ≥ 0∧[41] + [-1]i1942[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942[8], 0), <(i1942[8], 42)), >(i1840[8], 0)), <(i1840[8], i2[8])), >(+(i1840[8], 1), 0)), java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))), ≥)∧[bni_46 + (-1)Bound*bni_46] + [(-1)bni_46]i1840[8] + [bni_46]i2[8] ≥ 0∧[(-1)bso_47] ≥ 0)

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

(53)    (i1840[8] ≥ 0∧i2[8] + [-1] + [-1]i1840[8] ≥ 0∧i1840[8] + [-1] ≥ 0∧i1942[8] ≥ 0∧[41] + [-1]i1942[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942[8], 0), <(i1942[8], 42)), >(i1840[8], 0)), <(i1840[8], i2[8])), >(+(i1840[8], 1), 0)), java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[bni_46 + (-1)Bound*bni_46] + [(-1)bni_46]i1840[8] + [bni_46]i2[8] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_47] ≥ 0)

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

(54)    ([1] + i1840[8] ≥ 0∧i2[8] + [-2] + [-1]i1840[8] ≥ 0∧i1840[8] ≥ 0∧i1942[8] ≥ 0∧[41] + [-1]i1942[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942[8], 0), <(i1942[8], 42)), >(i1840[8], 0)), <(i1840[8], i2[8])), >(+(i1840[8], 1), 0)), java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_46] + [(-1)bni_46]i1840[8] + [bni_46]i2[8] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_47] ≥ 0)

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

(55)    ([1] + i1840[8] ≥ 0∧i2[8] ≥ 0∧i1840[8] ≥ 0∧i1942[8] ≥ 0∧[41] + [-1]i1942[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942[8], 0), <(i1942[8], 42)), >(i1840[8], 0)), <(i1840[8], i2[8])), >(+(i1840[8], 1), 0)), java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_46 + (2)bni_46] + [bni_46]i2[8] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_47] ≥ 0)

For Pair COND_LOAD12814ARR3(TRUE, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → LOAD13105(java.lang.Object(ARRAY(i2, a7588data)), +(i1840, 1), java.lang.Object(Tree(NULL, o8366, o8367))) the following chains were created:
• We consider the chain COND_LOAD12814ARR3(TRUE, java.lang.Object(ARRAY(i2[9], a7588data[9])), i1840[9], java.lang.Object(Tree(NULL, o8366[9], o8367[9])), java.lang.Object(java.lang.String(i1942[9], i1941[9], i1943[9], a7876[9]))) → LOAD13105(java.lang.Object(ARRAY(i2[9], a7588data[9])), +(i1840[9], 1), java.lang.Object(Tree(NULL, o8366[9], o8367[9]))) which results in the following constraint:

(56)    (COND_LOAD12814ARR3(TRUE, java.lang.Object(ARRAY(i2[9], a7588data[9])), i1840[9], java.lang.Object(Tree(NULL, o8366[9], o8367[9])), java.lang.Object(java.lang.String(i1942[9], i1941[9], i1943[9], a7876[9])))≥NonInfC∧COND_LOAD12814ARR3(TRUE, java.lang.Object(ARRAY(i2[9], a7588data[9])), i1840[9], java.lang.Object(Tree(NULL, o8366[9], o8367[9])), java.lang.Object(java.lang.String(i1942[9], i1941[9], i1943[9], a7876[9])))≥LOAD13105(java.lang.Object(ARRAY(i2[9], a7588data[9])), +(i1840[9], 1), java.lang.Object(Tree(NULL, o8366[9], o8367[9])))∧(UIncreasing(LOAD13105(java.lang.Object(ARRAY(i2[9], a7588data[9])), +(i1840[9], 1), java.lang.Object(Tree(NULL, o8366[9], o8367[9])))), ≥))

We simplified constraint (56) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(57)    ((UIncreasing(LOAD13105(java.lang.Object(ARRAY(i2[9], a7588data[9])), +(i1840[9], 1), java.lang.Object(Tree(NULL, o8366[9], o8367[9])))), ≥)∧[(-1)bso_49] ≥ 0)

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

(58)    ((UIncreasing(LOAD13105(java.lang.Object(ARRAY(i2[9], a7588data[9])), +(i1840[9], 1), java.lang.Object(Tree(NULL, o8366[9], o8367[9])))), ≥)∧[(-1)bso_49] ≥ 0)

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

(59)    ((UIncreasing(LOAD13105(java.lang.Object(ARRAY(i2[9], a7588data[9])), +(i1840[9], 1), java.lang.Object(Tree(NULL, o8366[9], o8367[9])))), ≥)∧[(-1)bso_49] ≥ 0)

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

(60)    ((UIncreasing(LOAD13105(java.lang.Object(ARRAY(i2[9], a7588data[9])), +(i1840[9], 1), java.lang.Object(Tree(NULL, o8366[9], o8367[9])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 0)

To summarize, we get the following constraints P for the following pairs.
• LOAD13105(java.lang.Object(ARRAY(i2, a7588data)), i1876, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361))) → LOAD12814(java.lang.Object(ARRAY(i2, a7588data)), i1876, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)))
• ((UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)

• LOAD12814(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361))) → LOAD12814ARR1(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
• ((UIncreasing(LOAD12814ARR1(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])), java.lang.Object(java.lang.String(i1942[1], i1941[1], i1943[1], a7876[1])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_33] ≥ 0)

• LOAD12814ARR1(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → COND_LOAD12814ARR1(&&(&&(&&(>=(i1942, 42), >(i1840, 0)), <(i1840, i2)), >(+(i1840, 1), 0)), java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
• ([1] + i1840[2] ≥ 0∧i2[2] ≥ 0∧i1942[2] ≥ 0∧i1840[2] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR1(&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0)), java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_34 + (2)bni_34] + [bni_34]i2[2] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

• COND_LOAD12814ARR1(TRUE, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359, java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)), o8361)), o8361)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → LOAD12814(java.lang.Object(ARRAY(i2, a7588data)), +(i1840, 1), java.lang.Object(Tree(o8442Field0, o8442Field1, o8442Field2)))
• ((UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[3], a7588data[3])), +(i1840[3], 1), java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)

• LOAD12814(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367))) → LOAD12814ARR2(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
• ((UIncreasing(LOAD12814ARR2(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])), java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)

• LOAD12814ARR2(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), NULL, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942, 0), <(i1942, 42)), >(i1840, 0)), <(i1840, i2)), >(+(i1840, 1), 0)), java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), NULL, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
• ([1] + i1840[5] ≥ 0∧i2[5] ≥ 0∧i1840[5] ≥ 0∧i1942[5] ≥ 0∧[41] + [-1]i1942[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942[5], 0), <(i1942[5], 42)), >(i1840[5], 0)), <(i1840[5], i2[5])), >(+(i1840[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(3)bni_40 + (-1)Bound*bni_40] + [bni_40]i2[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_41] ≥ 0)

• COND_LOAD12814ARR2(TRUE, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)), o8366, o8367)), NULL, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → LOAD12814(java.lang.Object(ARRAY(i2, a7588data)), +(i1840, 1), java.lang.Object(Tree(o8443Field0, o8443Field1, o8443Field2)))
• ((UIncreasing(LOAD12814(java.lang.Object(ARRAY(i2[6], a7588data[6])), +(i1840[6], 1), java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_43] ≥ 0)

• LOAD12814(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367))) → LOAD12814ARR3(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
• ((UIncreasing(LOAD12814ARR3(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7])), java.lang.Object(java.lang.String(i1942[7], i1941[7], i1943[7], a7876[7])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_45] ≥ 0)

• LOAD12814ARR3(java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942, 0), <(i1942, 42)), >(i1840, 0)), <(i1840, i2)), >(+(i1840, 1), 0)), java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876)))
• ([1] + i1840[8] ≥ 0∧i2[8] ≥ 0∧i1840[8] ≥ 0∧i1942[8] ≥ 0∧[41] + [-1]i1942[8] ≥ 0 ⇒ (UIncreasing(COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942[8], 0), <(i1942[8], 42)), >(i1840[8], 0)), <(i1840[8], i2[8])), >(+(i1840[8], 1), 0)), java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_46 + (2)bni_46] + [bni_46]i2[8] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_47] ≥ 0)

• COND_LOAD12814ARR3(TRUE, java.lang.Object(ARRAY(i2, a7588data)), i1840, java.lang.Object(Tree(NULL, o8366, o8367)), java.lang.Object(java.lang.String(i1942, i1941, i1943, a7876))) → LOAD13105(java.lang.Object(ARRAY(i2, a7588data)), +(i1840, 1), java.lang.Object(Tree(NULL, o8366, o8367)))
• ((UIncreasing(LOAD13105(java.lang.Object(ARRAY(i2[9], a7588data[9])), +(i1840[9], 1), java.lang.Object(Tree(NULL, o8366[9], o8367[9])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 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(LOAD13105(x1, x2, x3)) = [1] + [-1]x2 + [-1]x1
POL(java.lang.Object(x1)) = x1
POL(ARRAY(x1, x2)) = [-1] + [-1]x1
POL(Tree(x1, x2, x3)) = [-1]
POL(LOAD12814(x1, x2, x3)) = [1] + [-1]x2 + [-1]x1
POL(LOAD12814ARR1(x1, x2, x3, x4)) = [-1] + [-1]x4 + [-1]x2 + [-1]x1
POL(java.lang.String(x1, x2, x3, x4)) = [-1]
POL(NULL) = [-1]
POL(COND_LOAD12814ARR1(x1, x2, x3, x4, x5)) = [-1] + [-1]x5 + [-1]x3 + [-1]x2
POL(&&(x1, x2)) = [-1]
POL(>=(x1, x2)) = [-1]
POL(42) = [42]
POL(>(x1, x2)) = [-1]
POL(0) = 0
POL(<(x1, x2)) = [-1]
POL(+(x1, x2)) = x1 + x2
POL(1) = [1]
POL(LOAD12814ARR2(x1, x2, x3, x4)) = [1] + [-1]x2 + [-1]x1
POL(COND_LOAD12814ARR2(x1, x2, x3, x4, x5)) = [-1]x3 + [-1]x2
POL(LOAD12814ARR3(x1, x2, x3, x4)) = [-1] + [-1]x4 + [-1]x2 + [-1]x1
POL(COND_LOAD12814ARR3(x1, x2, x3, x4, x5)) = [-1] + [-1]x5 + [-1]x3 + [-1]x2

The following pairs are in P>:

LOAD12814(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1]))) → LOAD12814ARR1(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])), java.lang.Object(java.lang.String(i1942[1], i1941[1], i1943[1], a7876[1])))
LOAD12814ARR2(java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5]))) → COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942[5], 0), <(i1942[5], 42)), >(i1840[5], 0)), <(i1840[5], i2[5])), >(+(i1840[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))
LOAD12814(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7]))) → LOAD12814ARR3(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7])), java.lang.Object(java.lang.String(i1942[7], i1941[7], i1943[7], a7876[7])))

The following pairs are in Pbound:

LOAD12814ARR1(java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2]))) → COND_LOAD12814ARR1(&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0)), java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))
LOAD12814ARR2(java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5]))) → COND_LOAD12814ARR2(&&(&&(&&(&&(>=(i1942[5], 0), <(i1942[5], 42)), >(i1840[5], 0)), <(i1840[5], i2[5])), >(+(i1840[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a7588data[5])), i1840[5], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[5], o8443Field1[5], o8443Field2[5])), o8366[5], o8367[5])), NULL, o8367[5])), java.lang.Object(java.lang.String(i1942[5], i1941[5], i1943[5], a7876[5])))
LOAD12814ARR3(java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8]))) → COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942[8], 0), <(i1942[8], 42)), >(i1840[8], 0)), <(i1840[8], i2[8])), >(+(i1840[8], 1), 0)), java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))

The following pairs are in P:

LOAD13105(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8359[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])), o8361[0]))) → LOAD12814(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))
LOAD12814ARR1(java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2]))) → COND_LOAD12814ARR1(&&(&&(&&(>=(i1942[2], 42), >(i1840[2], 0)), <(i1840[2], i2[2])), >(+(i1840[2], 1), 0)), java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))
COND_LOAD12814ARR1(TRUE, java.lang.Object(ARRAY(i2[3], a7588data[3])), i1840[3], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[3], java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])), o8361[3])), o8361[3])), java.lang.Object(java.lang.String(i1942[3], i1941[3], i1943[3], a7876[3]))) → LOAD12814(java.lang.Object(ARRAY(i2[3], a7588data[3])), +(i1840[3], 1), java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])))
LOAD12814(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4]))) → LOAD12814ARR2(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])), java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4])))
COND_LOAD12814ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a7588data[6])), i1840[6], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])), o8366[6], o8367[6])), NULL, o8367[6])), java.lang.Object(java.lang.String(i1942[6], i1941[6], i1943[6], a7876[6]))) → LOAD12814(java.lang.Object(ARRAY(i2[6], a7588data[6])), +(i1840[6], 1), java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])))
LOAD12814ARR3(java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8]))) → COND_LOAD12814ARR3(&&(&&(&&(&&(>=(i1942[8], 0), <(i1942[8], 42)), >(i1840[8], 0)), <(i1840[8], i2[8])), >(+(i1840[8], 1), 0)), java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))
COND_LOAD12814ARR3(TRUE, java.lang.Object(ARRAY(i2[9], a7588data[9])), i1840[9], java.lang.Object(Tree(NULL, o8366[9], o8367[9])), java.lang.Object(java.lang.String(i1942[9], i1941[9], i1943[9], a7876[9]))) → LOAD13105(java.lang.Object(ARRAY(i2[9], a7588data[9])), +(i1840[9], 1), java.lang.Object(Tree(NULL, o8366[9], o8367[9])))

There are no usable rules.

### (14) 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): LOAD13105(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8359[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])), o8361[0]))) → LOAD12814(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))
(2): LOAD12814ARR1(java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2]))) → COND_LOAD12814ARR1(i1942[2] >= 42 && i1840[2] > 0 && i1840[2] < i2[2] && i1840[2] + 1 > 0, java.lang.Object(ARRAY(i2[2], a7588data[2])), i1840[2], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[2], java.lang.Object(Tree(o8442Field0[2], o8442Field1[2], o8442Field2[2])), o8361[2])), o8361[2])), java.lang.Object(java.lang.String(i1942[2], i1941[2], i1943[2], a7876[2])))
(3): COND_LOAD12814ARR1(TRUE, java.lang.Object(ARRAY(i2[3], a7588data[3])), i1840[3], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[3], java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])), o8361[3])), o8361[3])), java.lang.Object(java.lang.String(i1942[3], i1941[3], i1943[3], a7876[3]))) → LOAD12814(java.lang.Object(ARRAY(i2[3], a7588data[3])), i1840[3] + 1, java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])))
(4): LOAD12814(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4]))) → LOAD12814ARR2(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])), java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4])))
(6): COND_LOAD12814ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a7588data[6])), i1840[6], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])), o8366[6], o8367[6])), NULL, o8367[6])), java.lang.Object(java.lang.String(i1942[6], i1941[6], i1943[6], a7876[6]))) → LOAD12814(java.lang.Object(ARRAY(i2[6], a7588data[6])), i1840[6] + 1, java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])))
(8): LOAD12814ARR3(java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8]))) → COND_LOAD12814ARR3(i1942[8] >= 0 && i1942[8] < 42 && i1840[8] > 0 && i1840[8] < i2[8] && i1840[8] + 1 > 0, java.lang.Object(ARRAY(i2[8], a7588data[8])), i1840[8], java.lang.Object(Tree(NULL, o8366[8], o8367[8])), java.lang.Object(java.lang.String(i1942[8], i1941[8], i1943[8], a7876[8])))
(9): COND_LOAD12814ARR3(TRUE, java.lang.Object(ARRAY(i2[9], a7588data[9])), i1840[9], java.lang.Object(Tree(NULL, o8366[9], o8367[9])), java.lang.Object(java.lang.String(i1942[9], i1941[9], i1943[9], a7876[9]))) → LOAD13105(java.lang.Object(ARRAY(i2[9], a7588data[9])), i1840[9] + 1, java.lang.Object(Tree(NULL, o8366[9], o8367[9])))

(9) -> (0), if ((i1840[9] + 1* i1876[0])∧((i2[9]* i2[0])∧(a7588data[9]* a7588data[0]))∧((o8366[9]* java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))∧(o8367[9]* o8361[0])))

(2) -> (3), if (((o8359[2]* o8359[3])∧(o8442Field0[2]* o8442Field0[3])∧(o8442Field1[2]* o8442Field1[3])∧(o8442Field2[2]* o8442Field2[3])∧(o8361[2]* o8361[3]))∧(i1942[2] >= 42 && i1840[2] > 0 && i1840[2] < i2[2] && i1840[2] + 1 > 0* TRUE)∧((i1942[2]* i1942[3])∧(i1941[2]* i1941[3])∧(i1943[2]* i1943[3])∧(a7876[2]* a7876[3]))∧(i1840[2]* i1840[3])∧((i2[2]* i2[3])∧(a7588data[2]* a7588data[3])))

(0) -> (4), if ((i1876[0]* i1840[4])∧((o8442Field0[0]* java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])))∧(o8442Field1[0]* o8366[4])∧(o8442Field2[0]* o8367[4]))∧((i2[0]* i2[4])∧(a7588data[0]* a7588data[4])))

(3) -> (4), if (((o8442Field0[3]* java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])))∧(o8442Field1[3]* o8366[4])∧(o8442Field2[3]* o8367[4]))∧(i1840[3] + 1* i1840[4])∧((i2[3]* i2[4])∧(a7588data[3]* a7588data[4])))

(6) -> (4), if (((i2[6]* i2[4])∧(a7588data[6]* a7588data[4]))∧(i1840[6] + 1* i1840[4])∧((o8443Field0[6]* java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])))∧(o8443Field1[6]* o8366[4])∧(o8443Field2[6]* o8367[4])))

(8) -> (9), if ((i1942[8] >= 0 && i1942[8] < 42 && i1840[8] > 0 && i1840[8] < i2[8] && i1840[8] + 1 > 0* TRUE)∧(i1840[8]* i1840[9])∧((i2[8]* i2[9])∧(a7588data[8]* a7588data[9]))∧((o8366[8]* o8366[9])∧(o8367[8]* o8367[9]))∧((i1942[8]* i1942[9])∧(i1941[8]* i1941[9])∧(i1943[8]* i1943[9])∧(a7876[8]* a7876[9])))

The set Q consists of the following terms:
Load13105(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)))
Load12814ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)), x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load12814ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)), x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)))
Load12814ARR2(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)), NULL, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load12814ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)), NULL, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)))
Load12814ARR3(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)), java.lang.Object(java.lang.String(x5, x6, x7, x8)))
Cond_Load12814ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)), java.lang.Object(java.lang.String(x5, x6, x7, x8)))

### (15) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 7 less nodes.

### (17) 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): LOAD13105(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8359[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])), o8361[0]))) → LOAD12814(java.lang.Object(ARRAY(i2[0], a7588data[0])), i1876[0], java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))
(1): LOAD12814(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1]))) → LOAD12814ARR1(java.lang.Object(ARRAY(i2[1], a7588data[1])), i1840[1], java.lang.Object(Tree(o8359[1], java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])), o8361[1])), java.lang.Object(java.lang.String(i1942[1], i1941[1], i1943[1], a7876[1])))
(3): COND_LOAD12814ARR1(TRUE, java.lang.Object(ARRAY(i2[3], a7588data[3])), i1840[3], java.lang.Object(Tree(NULL, java.lang.Object(Tree(o8359[3], java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])), o8361[3])), o8361[3])), java.lang.Object(java.lang.String(i1942[3], i1941[3], i1943[3], a7876[3]))) → LOAD12814(java.lang.Object(ARRAY(i2[3], a7588data[3])), i1840[3] + 1, java.lang.Object(Tree(o8442Field0[3], o8442Field1[3], o8442Field2[3])))
(4): LOAD12814(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4]))) → LOAD12814ARR2(java.lang.Object(ARRAY(i2[4], a7588data[4])), i1840[4], java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])), o8366[4], o8367[4])), java.lang.Object(java.lang.String(i1942[4], i1941[4], i1943[4], a7876[4])))
(6): COND_LOAD12814ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a7588data[6])), i1840[6], java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])), o8366[6], o8367[6])), NULL, o8367[6])), java.lang.Object(java.lang.String(i1942[6], i1941[6], i1943[6], a7876[6]))) → LOAD12814(java.lang.Object(ARRAY(i2[6], a7588data[6])), i1840[6] + 1, java.lang.Object(Tree(o8443Field0[6], o8443Field1[6], o8443Field2[6])))
(7): LOAD12814(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7]))) → LOAD12814ARR3(java.lang.Object(ARRAY(i2[7], a7588data[7])), i1840[7], java.lang.Object(Tree(NULL, o8366[7], o8367[7])), java.lang.Object(java.lang.String(i1942[7], i1941[7], i1943[7], a7876[7])))
(9): COND_LOAD12814ARR3(TRUE, java.lang.Object(ARRAY(i2[9], a7588data[9])), i1840[9], java.lang.Object(Tree(NULL, o8366[9], o8367[9])), java.lang.Object(java.lang.String(i1942[9], i1941[9], i1943[9], a7876[9]))) → LOAD13105(java.lang.Object(ARRAY(i2[9], a7588data[9])), i1840[9] + 1, java.lang.Object(Tree(NULL, o8366[9], o8367[9])))

(9) -> (0), if ((i1840[9] + 1* i1876[0])∧((i2[9]* i2[0])∧(a7588data[9]* a7588data[0]))∧((o8366[9]* java.lang.Object(Tree(o8442Field0[0], o8442Field1[0], o8442Field2[0])))∧(o8367[9]* o8361[0])))

(0) -> (1), if (((i2[0]* i2[1])∧(a7588data[0]* a7588data[1]))∧(i1876[0]* i1840[1])∧((o8442Field0[0]* o8359[1])∧(o8442Field1[0]* java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])))∧(o8442Field2[0]* o8361[1])))

(3) -> (1), if (((i2[3]* i2[1])∧(a7588data[3]* a7588data[1]))∧(i1840[3] + 1* i1840[1])∧((o8442Field0[3]* o8359[1])∧(o8442Field1[3]* java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])))∧(o8442Field2[3]* o8361[1])))

(6) -> (1), if ((i1840[6] + 1* i1840[1])∧((i2[6]* i2[1])∧(a7588data[6]* a7588data[1]))∧((o8443Field0[6]* o8359[1])∧(o8443Field1[6]* java.lang.Object(Tree(o8442Field0[1], o8442Field1[1], o8442Field2[1])))∧(o8443Field2[6]* o8361[1])))

(0) -> (4), if ((i1876[0]* i1840[4])∧((o8442Field0[0]* java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])))∧(o8442Field1[0]* o8366[4])∧(o8442Field2[0]* o8367[4]))∧((i2[0]* i2[4])∧(a7588data[0]* a7588data[4])))

(3) -> (4), if (((o8442Field0[3]* java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])))∧(o8442Field1[3]* o8366[4])∧(o8442Field2[3]* o8367[4]))∧(i1840[3] + 1* i1840[4])∧((i2[3]* i2[4])∧(a7588data[3]* a7588data[4])))

(6) -> (4), if (((i2[6]* i2[4])∧(a7588data[6]* a7588data[4]))∧(i1840[6] + 1* i1840[4])∧((o8443Field0[6]* java.lang.Object(Tree(o8443Field0[4], o8443Field1[4], o8443Field2[4])))∧(o8443Field1[6]* o8366[4])∧(o8443Field2[6]* o8367[4])))

(0) -> (7), if (((i2[0]* i2[7])∧(a7588data[0]* a7588data[7]))∧(i1876[0]* i1840[7])∧((o8442Field0[0]* NULL)∧(o8442Field1[0]* o8366[7])∧(o8442Field2[0]* o8367[7])))

(3) -> (7), if ((i1840[3] + 1* i1840[7])∧((o8442Field0[3]* NULL)∧(o8442Field1[3]* o8366[7])∧(o8442Field2[3]* o8367[7]))∧((i2[3]* i2[7])∧(a7588data[3]* a7588data[7])))

(6) -> (7), if (((i2[6]* i2[7])∧(a7588data[6]* a7588data[7]))∧((o8443Field0[6]* NULL)∧(o8443Field1[6]* o8366[7])∧(o8443Field2[6]* o8367[7]))∧(i1840[6] + 1* i1840[7]))

The set Q consists of the following terms:
Load13105(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)))
Load12814ARR1(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)), x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load12814ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, java.lang.Object(Tree(x3, java.lang.Object(Tree(x4, x5, x6)), x7)), x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)))
Load12814ARR2(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)), NULL, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load12814ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)), NULL, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Load12814(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)))
Load12814ARR3(java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)), java.lang.Object(java.lang.String(x5, x6, x7, x8)))
Cond_Load12814ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, java.lang.Object(Tree(NULL, x3, x4)), java.lang.Object(java.lang.String(x5, x6, x7, x8)))

### (18) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 7 less nodes.

### (20) 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:
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC)))) → Load7791ARR4(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Load7791ARR4(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → Cond_Load7791ARR4(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Cond_Load7791ARR4(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)))
JMP10050(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2))) → Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2)))
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2)), o5783, o5784))) → Load7791ARR5(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2)), o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR5(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2)), o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR5(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2)), o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR5(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2)), o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2)))
Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2))) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255 + -1, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2)))
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2)), o5777))) → Load7791ARR6(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2)), o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Load7791ARR6(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2)), o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → Cond_Load7791ARR6(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2)), o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Cond_Load7791ARR6(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2)), o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255 + -1, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2)))
Inc12523(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC)))) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255 + -1, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))))
JMP12428(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC)))) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255 + -1, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))))
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, NULL, o5777))) → Load7791ARR7(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, NULL, o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Load7791ARR7(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → Cond_Load7791ARR7(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Cond_Load7791ARR7(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255 + -1, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))))
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC)))) → Load7791ARR8(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR8(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR8(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR8(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → JMP10050(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255, java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)))
JMP12465(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC)))) → Inc12523(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))))
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o5783, o5784))) → Load7791ARR9(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR9(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR9(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR9(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Inc12523(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))))
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, NULL, java.lang.Object(EOC))), java.lang.Object(Tree(o5204, NULL, java.lang.Object(EOC)))) → Load7791ARR10(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, NULL, java.lang.Object(EOC))), java.lang.Object(Tree(o5204, NULL, java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Load7791ARR10(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o5204, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → Cond_Load7791ARR10(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o5204, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Cond_Load7791ARR10(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o5204, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → JMP12428(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o5204, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))))
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(NULL, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o5205, java.lang.Object(EOC)))) → Load7791ARR11(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(NULL, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR11(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR11(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR11(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → JMP12465(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5205, java.lang.Object(EOC))))
The set Q consists of the following terms:
Load7791ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(EOC))), java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, x8, x9, x10)))
Cond_Load7791ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(EOC))), java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, x8, x9, x10)))
JMP10050(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, x7, x8)))
Load7791(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7, x8)), x9, x10)))
Load7791ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7, x8)), x9, x10)), java.lang.Object(java.lang.String(x11, x12, x13, x14)))
Cond_Load7791ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7, x8)), x9, x10)), java.lang.Object(java.lang.String(x11, x12, x13, x14)))
Inc9967(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, x7, x8)))
Load7791(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8, x9)), x10)))
Load7791ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8, x9)), x10)), java.lang.Object(java.lang.String(0, x11, x12, x13)))
Cond_Load7791ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8, x9)), x10)), java.lang.Object(java.lang.String(0, x11, x12, x13)))
Inc12523(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))))
JMP12428(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))))
Load7791(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, NULL, x7)))
Load7791ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), x7)), java.lang.Object(java.lang.String(0, x8, x9, x10)))
Cond_Load7791ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), x7)), java.lang.Object(java.lang.String(0, x8, x9, x10)))
Load7791ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5, x6)), x7, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(x4, x5, x6)), x7, java.lang.Object(EOC))), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load7791ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5, x6)), x7, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(x4, x5, x6)), x7, java.lang.Object(EOC))), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
JMP12465(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))))
Load7791(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, x6, x7)))
Load7791ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), x6, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load7791ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), x6, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Load7791ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, x5, x6, x7)))
Cond_Load7791ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, x5, x6, x7)))
Load7791ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), x4, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), x4, java.lang.Object(EOC))), java.lang.Object(java.lang.String(x5, x6, x7, x8)))
Cond_Load7791ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), x4, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), x4, java.lang.Object(EOC))), java.lang.Object(java.lang.String(x5, x6, x7, x8)))

### (21) DuplicateArgsRemoverProof (EQUIVALENT transformation)

Some arguments are removed because they only appear as duplicates.
We removed arguments according to the following replacements:

JMP12465(x1, x2, x3, x4, x5) → JMP12465(x1, x2, x3, x5)
Cond_Load7791ARR11(x1, x2, x3, x4, x5, x6, x7) → Cond_Load7791ARR11(x1, x2, x3, x4, x6, x7)
Load7791ARR11(x1, x2, x3, x4, x5, x6) → Load7791ARR11(x1, x2, x3, x5, x6)
JMP12428(x1, x2, x3, x4, x5) → JMP12428(x1, x2, x3, x5)
Cond_Load7791ARR10(x1, x2, x3, x4, x5, x6, x7) → Cond_Load7791ARR10(x1, x2, x3, x4, x6, x7)
Load7791ARR10(x1, x2, x3, x4, x5, x6) → Load7791ARR10(x1, x2, x3, x5, x6)
Inc12523(x1, x2, x3, x4, x5) → Inc12523(x1, x2, x3, x5)
Cond_Load7791ARR8(x1, x2, x3, x4, x5, x6, x7) → Cond_Load7791ARR8(x1, x2, x3, x4, x6, x7)
Load7791ARR8(x1, x2, x3, x4, x5, x6) → Load7791ARR8(x1, x2, x3, x5, x6)
Cond_Load7791ARR4(x1, x2, x3, x4, x5, x6, x7) → Cond_Load7791ARR4(x1, x2, x3, x4, x6, x7)
Load7791ARR4(x1, x2, x3, x4, x5, x6) → Load7791ARR4(x1, x2, x3, x5, x6)

### (22) 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:
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC)))) → Load7791ARR4(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Load7791ARR4(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → Cond_Load7791ARR4(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Cond_Load7791ARR4(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o5839Field0, o5839Field1, o5839Field2)))
JMP10050(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2))) → Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2)))
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2)), o5783, o5784))) → Load7791ARR5(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2)), o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR5(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2)), o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR5(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2)), o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR5(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2)), o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5950Field0, o5950Field1, o5950Field2)))
Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2))) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255 + -1, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2)))
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2)), o5777))) → Load7791ARR6(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2)), o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Load7791ARR6(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2)), o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → Cond_Load7791ARR6(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2)), o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Cond_Load7791ARR6(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2)), o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255 + -1, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5931Field0, o5931Field1, o5931Field2)))
Inc12523(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC)))) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255 + -1, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))))
JMP12428(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC)))) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255 + -1, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))))
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, NULL, o5777))) → Load7791ARR7(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, NULL, o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Load7791ARR7(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → Cond_Load7791ARR7(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Cond_Load7791ARR7(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5775, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5777)), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255 + -1, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))))
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC)))) → Load7791ARR8(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR8(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR8(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR8(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → JMP10050(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255, java.lang.Object(Tree(java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)), o5205, java.lang.Object(EOC))), java.lang.Object(Tree(o5882Field0, o5882Field1, o5882Field2)))
JMP12465(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC)))) → Inc12523(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))))
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o5783, o5784))) → Load7791ARR9(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR9(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR9(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR9(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5783, o5784)), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Inc12523(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255, java.lang.Object(Tree(o5204, o5205, java.lang.Object(EOC))))
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, NULL, java.lang.Object(EOC))), java.lang.Object(Tree(o5204, NULL, java.lang.Object(EOC)))) → Load7791ARR10(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, NULL, java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Load7791ARR10(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → Cond_Load7791ARR10(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451)))
Cond_Load7791ARR10(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i1289, i1291, a5451))) → JMP12428(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255, java.lang.Object(Tree(o5204, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))))
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(NULL, o5205, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o5205, java.lang.Object(EOC)))) → Load7791ARR11(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(NULL, o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR11(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR11(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR11(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5205, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → JMP12465(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o5205, java.lang.Object(EOC))))
The set Q consists of the following terms:
Load7791ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, x8, x9, x10)))
Cond_Load7791ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, x8, x9, x10)))
JMP10050(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, x7, x8)))
Load7791(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7, x8)), x9, x10)))
Load7791ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7, x8)), x9, x10)), java.lang.Object(java.lang.String(x11, x12, x13, x14)))
Cond_Load7791ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(x6, x7, x8)), x9, x10)), java.lang.Object(java.lang.String(x11, x12, x13, x14)))
Inc9967(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, x7, x8)))
Load7791(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8, x9)), x10)))
Load7791ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8, x9)), x10)), java.lang.Object(java.lang.String(0, x11, x12, x13)))
Cond_Load7791ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8, x9)), x10)), java.lang.Object(java.lang.String(0, x11, x12, x13)))
Inc12523(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))))
JMP12428(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))))
Load7791(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, NULL, x7)))
Load7791ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), x7)), java.lang.Object(java.lang.String(0, x8, x9, x10)))
Cond_Load7791ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(x6, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), x7)), java.lang.Object(java.lang.String(0, x8, x9, x10)))
Load7791ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5, x6)), x7, java.lang.Object(EOC))), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load7791ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(x4, x5, x6)), x7, java.lang.Object(EOC))), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
JMP12465(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))))
Load7791(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, x6, x7)))
Load7791ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), x6, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Cond_Load7791ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), x6, x7)), java.lang.Object(java.lang.String(x8, x9, x10, x11)))
Load7791ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, x5, x6, x7)))
Cond_Load7791ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, x5, x6, x7)))
Load7791ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), x4, java.lang.Object(EOC))), java.lang.Object(java.lang.String(x5, x6, x7, x8)))
Cond_Load7791ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), x4, java.lang.Object(EOC))), java.lang.Object(java.lang.String(x5, x6, x7, x8)))

### (23) ITRSFilterProcessorProof (SOUND transformation)

We filter according the heuristic IdpCand1ShapeHeuristic
We removed arguments according to the following replacements:

Load7791(x1, x2, x3, x4, x5) → Load7791(x1, x2, x3)
Tree(x1, x2, x3) → Tree
Load7791ARR4(x1, x2, x3, x4, x5) → Load7791ARR4(x1, x2, x3)
Cond_Load7791ARR4(x1, x2, x3, x4, x5, x6) → Cond_Load7791ARR4(x1, x2, x3, x4)
Inc9967(x1, x2, x3, x4, x5) → Inc9967(x1, x2, x3)
JMP10050(x1, x2, x3, x4, x5) → JMP10050(x1, x2, x3)
Load7791ARR5(x1, x2, x3, x4, x5, x6) → Load7791ARR5(x1, x2, x3, x6)
Cond_Load7791ARR5(x1, x2, x3, x4, x5, x6, x7) → Cond_Load7791ARR5(x1, x2, x3, x4, x7)
Load7791ARR6(x1, x2, x3, x4, x5, x6) → Load7791ARR6(x1, x2, x3)
Cond_Load7791ARR6(x1, x2, x3, x4, x5, x6, x7) → Cond_Load7791ARR6(x1, x2, x3, x4)
Inc12523(x1, x2, x3, x4) → Inc12523(x1, x2, x3)
JMP12428(x1, x2, x3, x4) → JMP12428(x1, x2, x3)
Load7791ARR7(x1, x2, x3, x4, x5, x6) → Load7791ARR7(x1, x2, x3)
Cond_Load7791ARR7(x1, x2, x3, x4, x5, x6, x7) → Cond_Load7791ARR7(x1, x2, x3, x4)
Load7791ARR8(x1, x2, x3, x4, x5) → Load7791ARR8(x1, x2, x3, x5)
Cond_Load7791ARR8(x1, x2, x3, x4, x5, x6) → Cond_Load7791ARR8(x1, x2, x3, x4, x6)
JMP12465(x1, x2, x3, x4) → JMP12465(x1, x2, x3)
Load7791ARR9(x1, x2, x3, x4, x5, x6) → Load7791ARR9(x1, x2, x3, x6)
Cond_Load7791ARR9(x1, x2, x3, x4, x5, x6, x7) → Cond_Load7791ARR9(x1, x2, x3, x4, x7)
Load7791ARR10(x1, x2, x3, x4, x5) → Load7791ARR10(x1, x2, x3)
Cond_Load7791ARR10(x1, x2, x3, x4, x5, x6) → Cond_Load7791ARR10(x1, x2, x3, x4)
Load7791ARR11(x1, x2, x3, x4, x5) → Load7791ARR11(x1, x2, x3, x5)
Cond_Load7791ARR11(x1, x2, x3, x4, x5, x6) → Cond_Load7791ARR11(x1, x2, x3, x4, x6)

### (24) 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:
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR4(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Load7791ARR4(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Cond_Load7791ARR4(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Cond_Load7791ARR4(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255)
JMP10050(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255) → Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255)
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR5(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR5(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR5(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR5(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255)
Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255 + -1)
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR6(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Load7791ARR6(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Cond_Load7791ARR6(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Cond_Load7791ARR6(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255 + -1)
Inc12523(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255 + -1)
JMP12428(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255 + -1)
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR7(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Load7791ARR7(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Cond_Load7791ARR7(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Cond_Load7791ARR7(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255 + -1)
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR8(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR8(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR8(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR8(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → JMP10050(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255)
JMP12465(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255) → Inc12523(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255)
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR9(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR9(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR9(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR9(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Inc12523(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255)
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR10(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Load7791ARR10(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Cond_Load7791ARR10(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Cond_Load7791ARR10(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → JMP12428(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255)
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR11(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR11(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR11(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR11(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → JMP12465(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255)
The set Q consists of the following terms:
Load7791(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load7791ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP10050(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load7791ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc9967(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load7791ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Inc12523(java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP12428(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load7791ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load7791ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
JMP12465(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load7791ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Load7791ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load7791ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load7791ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

### (25) ITRSFSMergerProof (SOUND transformation)

The following function symbols have been merged:
 Load7791ARR4, Load7791ARR10 > Load7791ARR4_3 Load7791ARR6, Load7791ARR7 > Load7791ARR6_3 Cond_Load7791ARR4, Cond_Load7791ARR10 > Cond_Load7791ARR4_4 JMP10050, JMP12465 > JMP10050_3 Load7791ARR5, Load7791ARR9 > Load7791ARR5_4 Load7791ARR8, Load7791ARR11 > Load7791ARR8_4 Cond_Load7791ARR8, Cond_Load7791ARR11 > Cond_Load7791ARR8_5 Cond_Load7791ARR5, Cond_Load7791ARR9 > Cond_Load7791ARR5_5 Inc9967, Inc12523, JMP12428 > Inc9967_3 Cond_Load7791ARR6, Cond_Load7791ARR7 > Cond_Load7791ARR6_4

### (26) 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:
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR4(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Load7791ARR4(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Cond_Load7791ARR4(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Cond_Load7791ARR4(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255)
JMP10050(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255) → Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255)
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR5(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR5(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR5(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR5(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255)
Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255 + -1)
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR6(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Load7791ARR6(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Cond_Load7791ARR6(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Cond_Load7791ARR6(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255 + -1)
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR8(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR8(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR8(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR8(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → JMP10050(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255)
The set Q consists of the following terms:
Load7791(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load7791ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP10050(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load7791ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc9967(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load7791ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load7791ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

### (27) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

### (28) 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:
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR4(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Load7791ARR4(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Cond_Load7791ARR4(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Cond_Load7791ARR4(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255)
JMP10050(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255) → Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255)
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR5(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR5(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR5(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR5(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255)
Inc9967(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255 + -1)
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR6(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Load7791ARR6(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Cond_Load7791ARR6(i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
Cond_Load7791ARR6(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255 + -1)
Load7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → Load7791ARR8(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Load7791ARR8(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → Cond_Load7791ARR8(i1334 > 0 && i1253 > 0 && i1253 < i2 && i1255 > 0 && i1253 + 1 > 0, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
Cond_Load7791ARR8(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → JMP10050(java.lang.Object(ARRAY(i2, a5234data)), i1253 + 1, i1255)

The integer pair graph contains the following rules and edges:
(0): LOAD7791(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0]) → LOAD7791ARR4(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])
(1): LOAD7791ARR4(java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1]) → COND_LOAD7791ARR4(i1253[1] > 0 && i1253[1] < i2[1] && i1255[1] > 0 && i1253[1] + 1 > 0, java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])
(2): COND_LOAD7791ARR4(TRUE, java.lang.Object(ARRAY(i2[2], a5234data[2])), i1253[2], i1255[2]) → INC9967(java.lang.Object(ARRAY(i2[2], a5234data[2])), i1253[2] + 1, i1255[2])
(3): JMP10050'(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3]) → INC9967(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])
(4): LOAD7791(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4]) → LOAD7791ARR5(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4], java.lang.Object(java.lang.String(i1334[4], i1289[4], i1291[4], a5451[4])))
(5): LOAD7791ARR5(java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5]))) → COND_LOAD7791ARR5(i1334[5] > 0 && i1253[5] > 0 && i1253[5] < i2[5] && i1255[5] > 0 && i1253[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))
(6): COND_LOAD7791ARR5(TRUE, java.lang.Object(ARRAY(i2[6], a5234data[6])), i1253[6], i1255[6], java.lang.Object(java.lang.String(i1334[6], i1289[6], i1291[6], a5451[6]))) → INC9967(java.lang.Object(ARRAY(i2[6], a5234data[6])), i1253[6] + 1, i1255[6])
(7): INC9967(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], i1255[7]) → LOAD7791(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], i1255[7] + -1)
(8): LOAD7791(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8]) → LOAD7791ARR6(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])
(9): LOAD7791ARR6(java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9]) → COND_LOAD7791ARR6(i1253[9] > 0 && i1253[9] < i2[9] && i1255[9] > 0 && i1253[9] + 1 > 0, java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])
(10): COND_LOAD7791ARR6(TRUE, java.lang.Object(ARRAY(i2[10], a5234data[10])), i1253[10], i1255[10]) → LOAD7791(java.lang.Object(ARRAY(i2[10], a5234data[10])), i1253[10] + 1, i1255[10] + -1)
(11): LOAD7791(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11]) → LOAD7791ARR8(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11], java.lang.Object(java.lang.String(i1334[11], i1289[11], i1291[11], a5451[11])))
(12): LOAD7791ARR8(java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12]))) → COND_LOAD7791ARR8(i1334[12] > 0 && i1253[12] > 0 && i1253[12] < i2[12] && i1255[12] > 0 && i1253[12] + 1 > 0, java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))
(13): COND_LOAD7791ARR8(TRUE, java.lang.Object(ARRAY(i2[13], a5234data[13])), i1253[13], i1255[13], java.lang.Object(java.lang.String(i1334[13], i1289[13], i1291[13], a5451[13]))) → JMP10050'(java.lang.Object(ARRAY(i2[13], a5234data[13])), i1253[13] + 1, i1255[13])

(0) -> (1), if ((i1253[0]* i1253[1])∧(java.lang.Object(ARRAY(i2[0], a5234data[0])) →* java.lang.Object(ARRAY(i2[1], a5234data[1])))∧(i1255[0]* i1255[1]))

(1) -> (2), if ((i1253[1] > 0 && i1253[1] < i2[1] && i1255[1] > 0 && i1253[1] + 1 > 0* TRUE)∧(i1253[1]* i1253[2])∧(java.lang.Object(ARRAY(i2[1], a5234data[1])) →* java.lang.Object(ARRAY(i2[2], a5234data[2])))∧(i1255[1]* i1255[2]))

(2) -> (7), if ((i1253[2] + 1* i1268[7])∧(java.lang.Object(ARRAY(i2[2], a5234data[2])) →* java.lang.Object(ARRAY(i2[7], a5234data[7])))∧(i1255[2]* i1255[7]))

(3) -> (7), if ((i1268[3]* i1268[7])∧(i1255[3]* i1255[7])∧(java.lang.Object(ARRAY(i2[3], a5234data[3])) →* java.lang.Object(ARRAY(i2[7], a5234data[7]))))

(4) -> (5), if ((i1253[4]* i1253[5])∧(java.lang.Object(ARRAY(i2[4], a5234data[4])) →* java.lang.Object(ARRAY(i2[5], a5234data[5])))∧(java.lang.Object(java.lang.String(i1334[4], i1289[4], i1291[4], a5451[4])) →* java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))∧(i1255[4]* i1255[5]))

(5) -> (6), if ((java.lang.Object(ARRAY(i2[5], a5234data[5])) →* java.lang.Object(ARRAY(i2[6], a5234data[6])))∧(i1334[5] > 0 && i1253[5] > 0 && i1253[5] < i2[5] && i1255[5] > 0 && i1253[5] + 1 > 0* TRUE)∧(i1255[5]* i1255[6])∧(i1253[5]* i1253[6])∧(java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])) →* java.lang.Object(java.lang.String(i1334[6], i1289[6], i1291[6], a5451[6]))))

(6) -> (7), if ((i1253[6] + 1* i1268[7])∧(java.lang.Object(ARRAY(i2[6], a5234data[6])) →* java.lang.Object(ARRAY(i2[7], a5234data[7])))∧(i1255[6]* i1255[7]))

(7) -> (0), if ((i1255[7] + -1* i1255[0])∧(i1268[7]* i1253[0])∧(java.lang.Object(ARRAY(i2[7], a5234data[7])) →* java.lang.Object(ARRAY(i2[0], a5234data[0]))))

(7) -> (4), if ((i1255[7] + -1* i1255[4])∧(i1268[7]* i1253[4])∧(java.lang.Object(ARRAY(i2[7], a5234data[7])) →* java.lang.Object(ARRAY(i2[4], a5234data[4]))))

(7) -> (8), if ((i1255[7] + -1* i1255[8])∧(java.lang.Object(ARRAY(i2[7], a5234data[7])) →* java.lang.Object(ARRAY(i2[8], a5234data[8])))∧(i1268[7]* i1253[8]))

(7) -> (11), if ((java.lang.Object(ARRAY(i2[7], a5234data[7])) →* java.lang.Object(ARRAY(i2[11], a5234data[11])))∧(i1268[7]* i1253[11])∧(i1255[7] + -1* i1255[11]))

(8) -> (9), if ((i1253[8]* i1253[9])∧(java.lang.Object(ARRAY(i2[8], a5234data[8])) →* java.lang.Object(ARRAY(i2[9], a5234data[9])))∧(i1255[8]* i1255[9]))

(9) -> (10), if ((i1255[9]* i1255[10])∧(i1253[9] > 0 && i1253[9] < i2[9] && i1255[9] > 0 && i1253[9] + 1 > 0* TRUE)∧(i1253[9]* i1253[10])∧(java.lang.Object(ARRAY(i2[9], a5234data[9])) →* java.lang.Object(ARRAY(i2[10], a5234data[10]))))

(10) -> (0), if ((i1253[10] + 1* i1253[0])∧(java.lang.Object(ARRAY(i2[10], a5234data[10])) →* java.lang.Object(ARRAY(i2[0], a5234data[0])))∧(i1255[10] + -1* i1255[0]))

(10) -> (4), if ((i1255[10] + -1* i1255[4])∧(java.lang.Object(ARRAY(i2[10], a5234data[10])) →* java.lang.Object(ARRAY(i2[4], a5234data[4])))∧(i1253[10] + 1* i1253[4]))

(10) -> (8), if ((i1253[10] + 1* i1253[8])∧(java.lang.Object(ARRAY(i2[10], a5234data[10])) →* java.lang.Object(ARRAY(i2[8], a5234data[8])))∧(i1255[10] + -1* i1255[8]))

(10) -> (11), if ((i1255[10] + -1* i1255[11])∧(i1253[10] + 1* i1253[11])∧(java.lang.Object(ARRAY(i2[10], a5234data[10])) →* java.lang.Object(ARRAY(i2[11], a5234data[11]))))

(11) -> (12), if ((java.lang.Object(ARRAY(i2[11], a5234data[11])) →* java.lang.Object(ARRAY(i2[12], a5234data[12])))∧(java.lang.Object(java.lang.String(i1334[11], i1289[11], i1291[11], a5451[11])) →* java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))∧(i1255[11]* i1255[12])∧(i1253[11]* i1253[12]))

(12) -> (13), if ((java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])) →* java.lang.Object(java.lang.String(i1334[13], i1289[13], i1291[13], a5451[13])))∧(i1334[12] > 0 && i1253[12] > 0 && i1253[12] < i2[12] && i1255[12] > 0 && i1253[12] + 1 > 0* TRUE)∧(i1253[12]* i1253[13])∧(i1255[12]* i1255[13])∧(java.lang.Object(ARRAY(i2[12], a5234data[12])) →* java.lang.Object(ARRAY(i2[13], a5234data[13]))))

(13) -> (3), if ((java.lang.Object(ARRAY(i2[13], a5234data[13])) →* java.lang.Object(ARRAY(i2[3], a5234data[3])))∧(i1253[13] + 1* i1268[3])∧(i1255[13]* i1255[3]))

The set Q consists of the following terms:
Load7791(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load7791ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP10050(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load7791ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc9967(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load7791ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load7791ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

### (29) 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.

### (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:

Boolean, Integer

R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD7791(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0]) → LOAD7791ARR4(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])
(1): LOAD7791ARR4(java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1]) → COND_LOAD7791ARR4(i1253[1] > 0 && i1253[1] < i2[1] && i1255[1] > 0 && i1253[1] + 1 > 0, java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])
(2): COND_LOAD7791ARR4(TRUE, java.lang.Object(ARRAY(i2[2], a5234data[2])), i1253[2], i1255[2]) → INC9967(java.lang.Object(ARRAY(i2[2], a5234data[2])), i1253[2] + 1, i1255[2])
(3): JMP10050'(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3]) → INC9967(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])
(4): LOAD7791(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4]) → LOAD7791ARR5(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4], java.lang.Object(java.lang.String(i1334[4], i1289[4], i1291[4], a5451[4])))
(5): LOAD7791ARR5(java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5]))) → COND_LOAD7791ARR5(i1334[5] > 0 && i1253[5] > 0 && i1253[5] < i2[5] && i1255[5] > 0 && i1253[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))
(6): COND_LOAD7791ARR5(TRUE, java.lang.Object(ARRAY(i2[6], a5234data[6])), i1253[6], i1255[6], java.lang.Object(java.lang.String(i1334[6], i1289[6], i1291[6], a5451[6]))) → INC9967(java.lang.Object(ARRAY(i2[6], a5234data[6])), i1253[6] + 1, i1255[6])
(7): INC9967(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], i1255[7]) → LOAD7791(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], i1255[7] + -1)
(8): LOAD7791(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8]) → LOAD7791ARR6(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])
(9): LOAD7791ARR6(java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9]) → COND_LOAD7791ARR6(i1253[9] > 0 && i1253[9] < i2[9] && i1255[9] > 0 && i1253[9] + 1 > 0, java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])
(10): COND_LOAD7791ARR6(TRUE, java.lang.Object(ARRAY(i2[10], a5234data[10])), i1253[10], i1255[10]) → LOAD7791(java.lang.Object(ARRAY(i2[10], a5234data[10])), i1253[10] + 1, i1255[10] + -1)
(11): LOAD7791(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11]) → LOAD7791ARR8(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11], java.lang.Object(java.lang.String(i1334[11], i1289[11], i1291[11], a5451[11])))
(12): LOAD7791ARR8(java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12]))) → COND_LOAD7791ARR8(i1334[12] > 0 && i1253[12] > 0 && i1253[12] < i2[12] && i1255[12] > 0 && i1253[12] + 1 > 0, java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))
(13): COND_LOAD7791ARR8(TRUE, java.lang.Object(ARRAY(i2[13], a5234data[13])), i1253[13], i1255[13], java.lang.Object(java.lang.String(i1334[13], i1289[13], i1291[13], a5451[13]))) → JMP10050'(java.lang.Object(ARRAY(i2[13], a5234data[13])), i1253[13] + 1, i1255[13])

(0) -> (1), if ((i1253[0]* i1253[1])∧(java.lang.Object(ARRAY(i2[0], a5234data[0])) →* java.lang.Object(ARRAY(i2[1], a5234data[1])))∧(i1255[0]* i1255[1]))

(1) -> (2), if ((i1253[1] > 0 && i1253[1] < i2[1] && i1255[1] > 0 && i1253[1] + 1 > 0* TRUE)∧(i1253[1]* i1253[2])∧(java.lang.Object(ARRAY(i2[1], a5234data[1])) →* java.lang.Object(ARRAY(i2[2], a5234data[2])))∧(i1255[1]* i1255[2]))

(2) -> (7), if ((i1253[2] + 1* i1268[7])∧(java.lang.Object(ARRAY(i2[2], a5234data[2])) →* java.lang.Object(ARRAY(i2[7], a5234data[7])))∧(i1255[2]* i1255[7]))

(3) -> (7), if ((i1268[3]* i1268[7])∧(i1255[3]* i1255[7])∧(java.lang.Object(ARRAY(i2[3], a5234data[3])) →* java.lang.Object(ARRAY(i2[7], a5234data[7]))))

(4) -> (5), if ((i1253[4]* i1253[5])∧(java.lang.Object(ARRAY(i2[4], a5234data[4])) →* java.lang.Object(ARRAY(i2[5], a5234data[5])))∧(java.lang.Object(java.lang.String(i1334[4], i1289[4], i1291[4], a5451[4])) →* java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))∧(i1255[4]* i1255[5]))

(5) -> (6), if ((java.lang.Object(ARRAY(i2[5], a5234data[5])) →* java.lang.Object(ARRAY(i2[6], a5234data[6])))∧(i1334[5] > 0 && i1253[5] > 0 && i1253[5] < i2[5] && i1255[5] > 0 && i1253[5] + 1 > 0* TRUE)∧(i1255[5]* i1255[6])∧(i1253[5]* i1253[6])∧(java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])) →* java.lang.Object(java.lang.String(i1334[6], i1289[6], i1291[6], a5451[6]))))

(6) -> (7), if ((i1253[6] + 1* i1268[7])∧(java.lang.Object(ARRAY(i2[6], a5234data[6])) →* java.lang.Object(ARRAY(i2[7], a5234data[7])))∧(i1255[6]* i1255[7]))

(7) -> (0), if ((i1255[7] + -1* i1255[0])∧(i1268[7]* i1253[0])∧(java.lang.Object(ARRAY(i2[7], a5234data[7])) →* java.lang.Object(ARRAY(i2[0], a5234data[0]))))

(7) -> (4), if ((i1255[7] + -1* i1255[4])∧(i1268[7]* i1253[4])∧(java.lang.Object(ARRAY(i2[7], a5234data[7])) →* java.lang.Object(ARRAY(i2[4], a5234data[4]))))

(7) -> (8), if ((i1255[7] + -1* i1255[8])∧(java.lang.Object(ARRAY(i2[7], a5234data[7])) →* java.lang.Object(ARRAY(i2[8], a5234data[8])))∧(i1268[7]* i1253[8]))

(7) -> (11), if ((java.lang.Object(ARRAY(i2[7], a5234data[7])) →* java.lang.Object(ARRAY(i2[11], a5234data[11])))∧(i1268[7]* i1253[11])∧(i1255[7] + -1* i1255[11]))

(8) -> (9), if ((i1253[8]* i1253[9])∧(java.lang.Object(ARRAY(i2[8], a5234data[8])) →* java.lang.Object(ARRAY(i2[9], a5234data[9])))∧(i1255[8]* i1255[9]))

(9) -> (10), if ((i1255[9]* i1255[10])∧(i1253[9] > 0 && i1253[9] < i2[9] && i1255[9] > 0 && i1253[9] + 1 > 0* TRUE)∧(i1253[9]* i1253[10])∧(java.lang.Object(ARRAY(i2[9], a5234data[9])) →* java.lang.Object(ARRAY(i2[10], a5234data[10]))))

(10) -> (0), if ((i1253[10] + 1* i1253[0])∧(java.lang.Object(ARRAY(i2[10], a5234data[10])) →* java.lang.Object(ARRAY(i2[0], a5234data[0])))∧(i1255[10] + -1* i1255[0]))

(10) -> (4), if ((i1255[10] + -1* i1255[4])∧(java.lang.Object(ARRAY(i2[10], a5234data[10])) →* java.lang.Object(ARRAY(i2[4], a5234data[4])))∧(i1253[10] + 1* i1253[4]))

(10) -> (8), if ((i1253[10] + 1* i1253[8])∧(java.lang.Object(ARRAY(i2[10], a5234data[10])) →* java.lang.Object(ARRAY(i2[8], a5234data[8])))∧(i1255[10] + -1* i1255[8]))

(10) -> (11), if ((i1255[10] + -1* i1255[11])∧(i1253[10] + 1* i1253[11])∧(java.lang.Object(ARRAY(i2[10], a5234data[10])) →* java.lang.Object(ARRAY(i2[11], a5234data[11]))))

(11) -> (12), if ((java.lang.Object(ARRAY(i2[11], a5234data[11])) →* java.lang.Object(ARRAY(i2[12], a5234data[12])))∧(java.lang.Object(java.lang.String(i1334[11], i1289[11], i1291[11], a5451[11])) →* java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))∧(i1255[11]* i1255[12])∧(i1253[11]* i1253[12]))

(12) -> (13), if ((java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])) →* java.lang.Object(java.lang.String(i1334[13], i1289[13], i1291[13], a5451[13])))∧(i1334[12] > 0 && i1253[12] > 0 && i1253[12] < i2[12] && i1255[12] > 0 && i1253[12] + 1 > 0* TRUE)∧(i1253[12]* i1253[13])∧(i1255[12]* i1255[13])∧(java.lang.Object(ARRAY(i2[12], a5234data[12])) →* java.lang.Object(ARRAY(i2[13], a5234data[13]))))

(13) -> (3), if ((java.lang.Object(ARRAY(i2[13], a5234data[13])) →* java.lang.Object(ARRAY(i2[3], a5234data[3])))∧(i1253[13] + 1* i1268[3])∧(i1255[13]* i1255[3]))

The set Q consists of the following terms:
Load7791(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load7791ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP10050(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load7791ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc9967(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load7791ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load7791ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

### (31) ItpfGraphProof (EQUIVALENT transformation)

Applied rule ItpfICap [ICap]

### (32) 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): LOAD7791(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0]) → LOAD7791ARR4(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])
(1): LOAD7791ARR4(java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1]) → COND_LOAD7791ARR4(i1253[1] > 0 && i1253[1] < i2[1] && i1255[1] > 0 && i1253[1] + 1 > 0, java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])
(2): COND_LOAD7791ARR4(TRUE, java.lang.Object(ARRAY(i2[2], a5234data[2])), i1253[2], i1255[2]) → INC9967(java.lang.Object(ARRAY(i2[2], a5234data[2])), i1253[2] + 1, i1255[2])
(3): JMP10050'(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3]) → INC9967(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])
(4): LOAD7791(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4]) → LOAD7791ARR5(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4], java.lang.Object(java.lang.String(i1334[4], i1289[4], i1291[4], a5451[4])))
(5): LOAD7791ARR5(java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5]))) → COND_LOAD7791ARR5(i1334[5] > 0 && i1253[5] > 0 && i1253[5] < i2[5] && i1255[5] > 0 && i1253[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))
(6): COND_LOAD7791ARR5(TRUE, java.lang.Object(ARRAY(i2[6], a5234data[6])), i1253[6], i1255[6], java.lang.Object(java.lang.String(i1334[6], i1289[6], i1291[6], a5451[6]))) → INC9967(java.lang.Object(ARRAY(i2[6], a5234data[6])), i1253[6] + 1, i1255[6])
(7): INC9967(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], i1255[7]) → LOAD7791(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], i1255[7] + -1)
(8): LOAD7791(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8]) → LOAD7791ARR6(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])
(9): LOAD7791ARR6(java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9]) → COND_LOAD7791ARR6(i1253[9] > 0 && i1253[9] < i2[9] && i1255[9] > 0 && i1253[9] + 1 > 0, java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])
(10): COND_LOAD7791ARR6(TRUE, java.lang.Object(ARRAY(i2[10], a5234data[10])), i1253[10], i1255[10]) → LOAD7791(java.lang.Object(ARRAY(i2[10], a5234data[10])), i1253[10] + 1, i1255[10] + -1)
(11): LOAD7791(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11]) → LOAD7791ARR8(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11], java.lang.Object(java.lang.String(i1334[11], i1289[11], i1291[11], a5451[11])))
(12): LOAD7791ARR8(java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12]))) → COND_LOAD7791ARR8(i1334[12] > 0 && i1253[12] > 0 && i1253[12] < i2[12] && i1255[12] > 0 && i1253[12] + 1 > 0, java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))
(13): COND_LOAD7791ARR8(TRUE, java.lang.Object(ARRAY(i2[13], a5234data[13])), i1253[13], i1255[13], java.lang.Object(java.lang.String(i1334[13], i1289[13], i1291[13], a5451[13]))) → JMP10050'(java.lang.Object(ARRAY(i2[13], a5234data[13])), i1253[13] + 1, i1255[13])

(0) -> (1), if ((i1253[0]* i1253[1])∧((i2[0]* i2[1])∧(a5234data[0]* a5234data[1]))∧(i1255[0]* i1255[1]))

(1) -> (2), if ((i1253[1] > 0 && i1253[1] < i2[1] && i1255[1] > 0 && i1253[1] + 1 > 0* TRUE)∧(i1253[1]* i1253[2])∧((i2[1]* i2[2])∧(a5234data[1]* a5234data[2]))∧(i1255[1]* i1255[2]))

(2) -> (7), if ((i1253[2] + 1* i1268[7])∧((i2[2]* i2[7])∧(a5234data[2]* a5234data[7]))∧(i1255[2]* i1255[7]))

(3) -> (7), if ((i1268[3]* i1268[7])∧(i1255[3]* i1255[7])∧((i2[3]* i2[7])∧(a5234data[3]* a5234data[7])))

(4) -> (5), if ((i1253[4]* i1253[5])∧((i2[4]* i2[5])∧(a5234data[4]* a5234data[5]))∧((i1334[4]* i1334[5])∧(i1289[4]* i1289[5])∧(i1291[4]* i1291[5])∧(a5451[4]* a5451[5]))∧(i1255[4]* i1255[5]))

(5) -> (6), if (((i2[5]* i2[6])∧(a5234data[5]* a5234data[6]))∧(i1334[5] > 0 && i1253[5] > 0 && i1253[5] < i2[5] && i1255[5] > 0 && i1253[5] + 1 > 0* TRUE)∧(i1255[5]* i1255[6])∧(i1253[5]* i1253[6])∧((i1334[5]* i1334[6])∧(i1289[5]* i1289[6])∧(i1291[5]* i1291[6])∧(a5451[5]* a5451[6])))

(6) -> (7), if ((i1253[6] + 1* i1268[7])∧((i2[6]* i2[7])∧(a5234data[6]* a5234data[7]))∧(i1255[6]* i1255[7]))

(7) -> (0), if ((i1255[7] + -1* i1255[0])∧(i1268[7]* i1253[0])∧((i2[7]* i2[0])∧(a5234data[7]* a5234data[0])))

(7) -> (4), if ((i1255[7] + -1* i1255[4])∧(i1268[7]* i1253[4])∧((i2[7]* i2[4])∧(a5234data[7]* a5234data[4])))

(7) -> (8), if ((i1255[7] + -1* i1255[8])∧((i2[7]* i2[8])∧(a5234data[7]* a5234data[8]))∧(i1268[7]* i1253[8]))

(7) -> (11), if (((i2[7]* i2[11])∧(a5234data[7]* a5234data[11]))∧(i1268[7]* i1253[11])∧(i1255[7] + -1* i1255[11]))

(8) -> (9), if ((i1253[8]* i1253[9])∧((i2[8]* i2[9])∧(a5234data[8]* a5234data[9]))∧(i1255[8]* i1255[9]))

(9) -> (10), if ((i1255[9]* i1255[10])∧(i1253[9] > 0 && i1253[9] < i2[9] && i1255[9] > 0 && i1253[9] + 1 > 0* TRUE)∧(i1253[9]* i1253[10])∧((i2[9]* i2[10])∧(a5234data[9]* a5234data[10])))

(10) -> (0), if ((i1253[10] + 1* i1253[0])∧((i2[10]* i2[0])∧(a5234data[10]* a5234data[0]))∧(i1255[10] + -1* i1255[0]))

(10) -> (4), if ((i1255[10] + -1* i1255[4])∧((i2[10]* i2[4])∧(a5234data[10]* a5234data[4]))∧(i1253[10] + 1* i1253[4]))

(10) -> (8), if ((i1253[10] + 1* i1253[8])∧((i2[10]* i2[8])∧(a5234data[10]* a5234data[8]))∧(i1255[10] + -1* i1255[8]))

(10) -> (11), if ((i1255[10] + -1* i1255[11])∧(i1253[10] + 1* i1253[11])∧((i2[10]* i2[11])∧(a5234data[10]* a5234data[11])))

(11) -> (12), if (((i2[11]* i2[12])∧(a5234data[11]* a5234data[12]))∧((i1334[11]* i1334[12])∧(i1289[11]* i1289[12])∧(i1291[11]* i1291[12])∧(a5451[11]* a5451[12]))∧(i1255[11]* i1255[12])∧(i1253[11]* i1253[12]))

(12) -> (13), if (((i1334[12]* i1334[13])∧(i1289[12]* i1289[13])∧(i1291[12]* i1291[13])∧(a5451[12]* a5451[13]))∧(i1334[12] > 0 && i1253[12] > 0 && i1253[12] < i2[12] && i1255[12] > 0 && i1253[12] + 1 > 0* TRUE)∧(i1253[12]* i1253[13])∧(i1255[12]* i1255[13])∧((i2[12]* i2[13])∧(a5234data[12]* a5234data[13])))

(13) -> (3), if (((i2[13]* i2[3])∧(a5234data[13]* a5234data[3]))∧(i1253[13] + 1* i1268[3])∧(i1255[13]* i1255[3]))

The set Q consists of the following terms:
Load7791(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load7791ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP10050(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load7791ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc9967(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load7791ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load7791ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load7791ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

### (33) 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 LOAD7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → LOAD7791ARR4(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) the following chains were created:
• We consider the chain LOAD7791(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0]) → LOAD7791ARR4(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0]), LOAD7791ARR4(java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1]) → COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1]) which results in the following constraint:

(1)    (i1253[0]=i1253[1]i2[0]=i2[1]a5234data[0]=a5234data[1]i1255[0]=i1255[1]LOAD7791(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])≥NonInfC∧LOAD7791(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])≥LOAD7791ARR4(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])∧(UIncreasing(LOAD7791ARR4(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])), ≥))

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

(2)    (LOAD7791(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])≥NonInfC∧LOAD7791(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])≥LOAD7791ARR4(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])∧(UIncreasing(LOAD7791ARR4(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])), ≥))

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

(3)    ((UIncreasing(LOAD7791ARR4(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])), ≥)∧[(-1)bso_25] ≥ 0)

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

(4)    ((UIncreasing(LOAD7791ARR4(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])), ≥)∧[(-1)bso_25] ≥ 0)

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

(5)    ((UIncreasing(LOAD7791ARR4(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])), ≥)∧[(-1)bso_25] ≥ 0)

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

(6)    ((UIncreasing(LOAD7791ARR4(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_25] ≥ 0)

For Pair LOAD7791ARR4(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → COND_LOAD7791ARR4(&&(&&(&&(>(i1253, 0), <(i1253, i2)), >(i1255, 0)), >(+(i1253, 1), 0)), java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) the following chains were created:
• We consider the chain LOAD7791ARR4(java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1]) → COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1]), COND_LOAD7791ARR4(TRUE, java.lang.Object(ARRAY(i2[2], a5234data[2])), i1253[2], i1255[2]) → INC9967(java.lang.Object(ARRAY(i2[2], a5234data[2])), +(i1253[2], 1), i1255[2]) which results in the following constraint:

(7)    (&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0))=TRUEi1253[1]=i1253[2]i2[1]=i2[2]a5234data[1]=a5234data[2]i1255[1]=i1255[2]LOAD7791ARR4(java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])≥NonInfC∧LOAD7791ARR4(java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])≥COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])∧(UIncreasing(COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])), ≥))

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

(8)    (>(+(i1253[1], 1), 0)=TRUE>(i1255[1], 0)=TRUE>(i1253[1], 0)=TRUE<(i1253[1], i2[1])=TRUELOAD7791ARR4(java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])≥NonInfC∧LOAD7791ARR4(java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])≥COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])∧(UIncreasing(COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])), ≥))

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

(9)    (i1253[1] ≥ 0∧i1255[1] + [-1] ≥ 0∧i1253[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i1253[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])), ≥)∧[(-1)bni_26 + (-1)Bound*bni_26] + [bni_26]i2[1] + [(-1)bni_26]i1253[1] ≥ 0∧[(-1)bso_27] ≥ 0)

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

(10)    (i1253[1] ≥ 0∧i1255[1] + [-1] ≥ 0∧i1253[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i1253[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])), ≥)∧[(-1)bni_26 + (-1)Bound*bni_26] + [bni_26]i2[1] + [(-1)bni_26]i1253[1] ≥ 0∧[(-1)bso_27] ≥ 0)

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

(11)    (i1253[1] ≥ 0∧i1255[1] + [-1] ≥ 0∧i1253[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i1253[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])), ≥)∧[(-1)bni_26 + (-1)Bound*bni_26] + [bni_26]i2[1] + [(-1)bni_26]i1253[1] ≥ 0∧[(-1)bso_27] ≥ 0)

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

(12)    (i1253[1] ≥ 0∧i1255[1] + [-1] ≥ 0∧i1253[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i1253[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])), ≥)∧0 = 0∧[(-1)bni_26 + (-1)Bound*bni_26] + [bni_26]i2[1] + [(-1)bni_26]i1253[1] ≥ 0∧0 = 0∧[(-1)bso_27] ≥ 0)

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

(13)    ([1] + i1253[1] ≥ 0∧i1255[1] + [-1] ≥ 0∧i1253[1] ≥ 0∧i2[1] + [-2] + [-1]i1253[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])), ≥)∧0 = 0∧[(-2)bni_26 + (-1)Bound*bni_26] + [bni_26]i2[1] + [(-1)bni_26]i1253[1] ≥ 0∧0 = 0∧[(-1)bso_27] ≥ 0)

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

(14)    ([1] + i1253[1] ≥ 0∧i1255[1] ≥ 0∧i1253[1] ≥ 0∧i2[1] + [-2] + [-1]i1253[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])), ≥)∧0 = 0∧[(-2)bni_26 + (-1)Bound*bni_26] + [bni_26]i2[1] + [(-1)bni_26]i1253[1] ≥ 0∧0 = 0∧[(-1)bso_27] ≥ 0)

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

(15)    ([1] + i1253[1] ≥ 0∧i1255[1] ≥ 0∧i1253[1] ≥ 0∧i2[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])), ≥)∧0 = 0∧[(-1)Bound*bni_26] + [bni_26]i2[1] ≥ 0∧0 = 0∧[(-1)bso_27] ≥ 0)

For Pair COND_LOAD7791ARR4(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → INC9967(java.lang.Object(ARRAY(i2, a5234data)), +(i1253, 1), i1255) the following chains were created:
• We consider the chain COND_LOAD7791ARR4(TRUE, java.lang.Object(ARRAY(i2[2], a5234data[2])), i1253[2], i1255[2]) → INC9967(java.lang.Object(ARRAY(i2[2], a5234data[2])), +(i1253[2], 1), i1255[2]) which results in the following constraint:

(16)    (COND_LOAD7791ARR4(TRUE, java.lang.Object(ARRAY(i2[2], a5234data[2])), i1253[2], i1255[2])≥NonInfC∧COND_LOAD7791ARR4(TRUE, java.lang.Object(ARRAY(i2[2], a5234data[2])), i1253[2], i1255[2])≥INC9967(java.lang.Object(ARRAY(i2[2], a5234data[2])), +(i1253[2], 1), i1255[2])∧(UIncreasing(INC9967(java.lang.Object(ARRAY(i2[2], a5234data[2])), +(i1253[2], 1), i1255[2])), ≥))

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

(17)    ((UIncreasing(INC9967(java.lang.Object(ARRAY(i2[2], a5234data[2])), +(i1253[2], 1), i1255[2])), ≥)∧[1 + (-1)bso_29] ≥ 0)

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

(18)    ((UIncreasing(INC9967(java.lang.Object(ARRAY(i2[2], a5234data[2])), +(i1253[2], 1), i1255[2])), ≥)∧[1 + (-1)bso_29] ≥ 0)

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

(19)    ((UIncreasing(INC9967(java.lang.Object(ARRAY(i2[2], a5234data[2])), +(i1253[2], 1), i1255[2])), ≥)∧[1 + (-1)bso_29] ≥ 0)

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

(20)    ((UIncreasing(INC9967(java.lang.Object(ARRAY(i2[2], a5234data[2])), +(i1253[2], 1), i1255[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_29] ≥ 0)

For Pair JMP10050'(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255) → INC9967(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255) the following chains were created:
• We consider the chain JMP10050'(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3]) → INC9967(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3]), INC9967(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], i1255[7]) → LOAD7791(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], +(i1255[7], -1)) which results in the following constraint:

(21)    (i1268[3]=i1268[7]i1255[3]=i1255[7]i2[3]=i2[7]a5234data[3]=a5234data[7]JMP10050'(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])≥NonInfC∧JMP10050'(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])≥INC9967(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])∧(UIncreasing(INC9967(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])), ≥))

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

(22)    (JMP10050'(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])≥NonInfC∧JMP10050'(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])≥INC9967(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])∧(UIncreasing(INC9967(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])), ≥))

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

(23)    ((UIncreasing(INC9967(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])), ≥)∧[(-1)bso_31] ≥ 0)

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

(24)    ((UIncreasing(INC9967(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])), ≥)∧[(-1)bso_31] ≥ 0)

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

(25)    ((UIncreasing(INC9967(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])), ≥)∧[(-1)bso_31] ≥ 0)

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

(26)    ((UIncreasing(INC9967(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)

For Pair LOAD7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → LOAD7791ARR5(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) the following chains were created:
• We consider the chain LOAD7791(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4]) → LOAD7791ARR5(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4], java.lang.Object(java.lang.String(i1334[4], i1289[4], i1291[4], a5451[4]))) which results in the following constraint:

(27)    (LOAD7791(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4])≥NonInfC∧LOAD7791(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4])≥LOAD7791ARR5(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4], java.lang.Object(java.lang.String(i1334[4], i1289[4], i1291[4], a5451[4])))∧(UIncreasing(LOAD7791ARR5(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4], java.lang.Object(java.lang.String(i1334[4], i1289[4], i1291[4], a5451[4])))), ≥))

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

(28)    ((UIncreasing(LOAD7791ARR5(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4], java.lang.Object(java.lang.String(i1334[4], i1289[4], i1291[4], a5451[4])))), ≥)∧[(-1)bso_33] ≥ 0)

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

(29)    ((UIncreasing(LOAD7791ARR5(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4], java.lang.Object(java.lang.String(i1334[4], i1289[4], i1291[4], a5451[4])))), ≥)∧[(-1)bso_33] ≥ 0)

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

(30)    ((UIncreasing(LOAD7791ARR5(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4], java.lang.Object(java.lang.String(i1334[4], i1289[4], i1291[4], a5451[4])))), ≥)∧[(-1)bso_33] ≥ 0)

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

(31)    ((UIncreasing(LOAD7791ARR5(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4], java.lang.Object(java.lang.String(i1334[4], i1289[4], i1291[4], a5451[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_33] ≥ 0)

For Pair LOAD7791ARR5(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334, 0), >(i1253, 0)), <(i1253, i2)), >(i1255, 0)), >(+(i1253, 1), 0)), java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) the following chains were created:
• We consider the chain LOAD7791ARR5(java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5]))) → COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5]))), COND_LOAD7791ARR5(TRUE, java.lang.Object(ARRAY(i2[6], a5234data[6])), i1253[6], i1255[6], java.lang.Object(java.lang.String(i1334[6], i1289[6], i1291[6], a5451[6]))) → INC9967(java.lang.Object(ARRAY(i2[6], a5234data[6])), +(i1253[6], 1), i1255[6]) which results in the following constraint:

(32)    (i2[5]=i2[6]a5234data[5]=a5234data[6]&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0))=TRUEi1255[5]=i1255[6]i1253[5]=i1253[6]i1334[5]=i1334[6]i1289[5]=i1289[6]i1291[5]=i1291[6]a5451[5]=a5451[6]LOAD7791ARR5(java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))≥NonInfC∧LOAD7791ARR5(java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))≥COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))∧(UIncreasing(COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))), ≥))

We simplified constraint (32) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

(33)    (>(+(i1253[5], 1), 0)=TRUE>(i1255[5], 0)=TRUE<(i1253[5], i2[5])=TRUE>(i1334[5], 0)=TRUE>(i1253[5], 0)=TRUELOAD7791ARR5(java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))≥NonInfC∧LOAD7791ARR5(java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))≥COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))∧(UIncreasing(COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))), ≥))

We simplified constraint (33) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(34)    (i1253[5] ≥ 0∧i1255[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i1253[5] ≥ 0∧i1334[5] + [-1] ≥ 0∧i1253[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))), ≥)∧[(-1)bni_34 + (-1)Bound*bni_34] + [bni_34]i2[5] + [(-1)bni_34]i1253[5] ≥ 0∧[(-1)bso_35] ≥ 0)

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

(35)    (i1253[5] ≥ 0∧i1255[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i1253[5] ≥ 0∧i1334[5] + [-1] ≥ 0∧i1253[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))), ≥)∧[(-1)bni_34 + (-1)Bound*bni_34] + [bni_34]i2[5] + [(-1)bni_34]i1253[5] ≥ 0∧[(-1)bso_35] ≥ 0)

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

(36)    (i1253[5] ≥ 0∧i1255[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i1253[5] ≥ 0∧i1334[5] + [-1] ≥ 0∧i1253[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))), ≥)∧[(-1)bni_34 + (-1)Bound*bni_34] + [bni_34]i2[5] + [(-1)bni_34]i1253[5] ≥ 0∧[(-1)bso_35] ≥ 0)

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

(37)    (i1253[5] ≥ 0∧i1255[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i1253[5] ≥ 0∧i1334[5] + [-1] ≥ 0∧i1253[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_34 + (-1)Bound*bni_34] + [bni_34]i2[5] + [(-1)bni_34]i1253[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

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

(38)    ([1] + i1253[5] ≥ 0∧i1255[5] + [-1] ≥ 0∧i2[5] + [-2] + [-1]i1253[5] ≥ 0∧i1334[5] + [-1] ≥ 0∧i1253[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-2)bni_34 + (-1)Bound*bni_34] + [bni_34]i2[5] + [(-1)bni_34]i1253[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

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

(39)    ([1] + i1253[5] ≥ 0∧i1255[5] ≥ 0∧i2[5] + [-2] + [-1]i1253[5] ≥ 0∧i1334[5] + [-1] ≥ 0∧i1253[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-2)bni_34 + (-1)Bound*bni_34] + [bni_34]i2[5] + [(-1)bni_34]i1253[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

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

(40)    ([1] + i1253[5] ≥ 0∧i1255[5] ≥ 0∧i2[5] ≥ 0∧i1334[5] + [-1] ≥ 0∧i1253[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_34] + [bni_34]i2[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

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

(41)    ([1] + i1253[5] ≥ 0∧i1255[5] ≥ 0∧i2[5] ≥ 0∧i1334[5] ≥ 0∧i1253[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_34] + [bni_34]i2[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

For Pair COND_LOAD7791ARR5(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → INC9967(java.lang.Object(ARRAY(i2, a5234data)), +(i1253, 1), i1255) the following chains were created:
• We consider the chain COND_LOAD7791ARR5(TRUE, java.lang.Object(ARRAY(i2[6], a5234data[6])), i1253[6], i1255[6], java.lang.Object(java.lang.String(i1334[6], i1289[6], i1291[6], a5451[6]))) → INC9967(java.lang.Object(ARRAY(i2[6], a5234data[6])), +(i1253[6], 1), i1255[6]) which results in the following constraint:

(42)    (COND_LOAD7791ARR5(TRUE, java.lang.Object(ARRAY(i2[6], a5234data[6])), i1253[6], i1255[6], java.lang.Object(java.lang.String(i1334[6], i1289[6], i1291[6], a5451[6])))≥NonInfC∧COND_LOAD7791ARR5(TRUE, java.lang.Object(ARRAY(i2[6], a5234data[6])), i1253[6], i1255[6], java.lang.Object(java.lang.String(i1334[6], i1289[6], i1291[6], a5451[6])))≥INC9967(java.lang.Object(ARRAY(i2[6], a5234data[6])), +(i1253[6], 1), i1255[6])∧(UIncreasing(INC9967(java.lang.Object(ARRAY(i2[6], a5234data[6])), +(i1253[6], 1), i1255[6])), ≥))

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

(43)    ((UIncreasing(INC9967(java.lang.Object(ARRAY(i2[6], a5234data[6])), +(i1253[6], 1), i1255[6])), ≥)∧[1 + (-1)bso_37] ≥ 0)

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

(44)    ((UIncreasing(INC9967(java.lang.Object(ARRAY(i2[6], a5234data[6])), +(i1253[6], 1), i1255[6])), ≥)∧[1 + (-1)bso_37] ≥ 0)

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

(45)    ((UIncreasing(INC9967(java.lang.Object(ARRAY(i2[6], a5234data[6])), +(i1253[6], 1), i1255[6])), ≥)∧[1 + (-1)bso_37] ≥ 0)

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

(46)    ((UIncreasing(INC9967(java.lang.Object(ARRAY(i2[6], a5234data[6])), +(i1253[6], 1), i1255[6])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_37] ≥ 0)

For Pair INC9967(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255) → LOAD7791(java.lang.Object(ARRAY(i2, a5234data)), i1268, +(i1255, -1)) the following chains were created:
• We consider the chain INC9967(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], i1255[7]) → LOAD7791(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], +(i1255[7], -1)) which results in the following constraint:

(47)    (INC9967(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], i1255[7])≥NonInfC∧INC9967(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], i1255[7])≥LOAD7791(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], +(i1255[7], -1))∧(UIncreasing(LOAD7791(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], +(i1255[7], -1))), ≥))

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

(48)    ((UIncreasing(LOAD7791(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], +(i1255[7], -1))), ≥)∧[(-1)bso_39] ≥ 0)

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

(49)    ((UIncreasing(LOAD7791(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], +(i1255[7], -1))), ≥)∧[(-1)bso_39] ≥ 0)

We simplified constraint (49) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(50)    ((UIncreasing(LOAD7791(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], +(i1255[7], -1))), ≥)∧[(-1)bso_39] ≥ 0)

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

(51)    ((UIncreasing(LOAD7791(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], +(i1255[7], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)

For Pair LOAD7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → LOAD7791ARR6(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) the following chains were created:
• We consider the chain LOAD7791(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8]) → LOAD7791ARR6(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8]), LOAD7791ARR6(java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9]) → COND_LOAD7791ARR6(&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9]) which results in the following constraint:

(52)    (i1253[8]=i1253[9]i2[8]=i2[9]a5234data[8]=a5234data[9]i1255[8]=i1255[9]LOAD7791(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])≥NonInfC∧LOAD7791(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])≥LOAD7791ARR6(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])∧(UIncreasing(LOAD7791ARR6(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])), ≥))

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

(53)    (LOAD7791(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])≥NonInfC∧LOAD7791(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])≥LOAD7791ARR6(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])∧(UIncreasing(LOAD7791ARR6(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])), ≥))

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

(54)    ((UIncreasing(LOAD7791ARR6(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])), ≥)∧[(-1)bso_41] ≥ 0)

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

(55)    ((UIncreasing(LOAD7791ARR6(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])), ≥)∧[(-1)bso_41] ≥ 0)

We simplified constraint (55) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(56)    ((UIncreasing(LOAD7791ARR6(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])), ≥)∧[(-1)bso_41] ≥ 0)

We simplified constraint (56) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(57)    ((UIncreasing(LOAD7791ARR6(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)

For Pair LOAD7791ARR6(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → COND_LOAD7791ARR6(&&(&&(&&(>(i1253, 0), <(i1253, i2)), >(i1255, 0)), >(+(i1253, 1), 0)), java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) the following chains were created:
• We consider the chain LOAD7791ARR6(java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9]) → COND_LOAD7791ARR6(&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9]), COND_LOAD7791ARR6(TRUE, java.lang.Object(ARRAY(i2[10], a5234data[10])), i1253[10], i1255[10]) → LOAD7791(java.lang.Object(ARRAY(i2[10], a5234data[10])), +(i1253[10], 1), +(i1255[10], -1)) which results in the following constraint:

(58)    (i1255[9]=i1255[10]&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0))=TRUEi1253[9]=i1253[10]i2[9]=i2[10]a5234data[9]=a5234data[10]LOAD7791ARR6(java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])≥NonInfC∧LOAD7791ARR6(java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])≥COND_LOAD7791ARR6(&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])∧(UIncreasing(COND_LOAD7791ARR6(&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])), ≥))

We simplified constraint (58) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

(59)    (>(+(i1253[9], 1), 0)=TRUE>(i1255[9], 0)=TRUE>(i1253[9], 0)=TRUE<(i1253[9], i2[9])=TRUELOAD7791ARR6(java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])≥NonInfC∧LOAD7791ARR6(java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])≥COND_LOAD7791ARR6(&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])∧(UIncreasing(COND_LOAD7791ARR6(&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])), ≥))

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

(60)    (i1253[9] ≥ 0∧i1255[9] + [-1] ≥ 0∧i1253[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i1253[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR6(&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])), ≥)∧[(-1)bni_42 + (-1)Bound*bni_42] + [(-1)bni_42]i1253[9] + [bni_42]i2[9] ≥ 0∧[(-1)bso_43] ≥ 0)

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

(61)    (i1253[9] ≥ 0∧i1255[9] + [-1] ≥ 0∧i1253[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i1253[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR6(&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])), ≥)∧[(-1)bni_42 + (-1)Bound*bni_42] + [(-1)bni_42]i1253[9] + [bni_42]i2[9] ≥ 0∧[(-1)bso_43] ≥ 0)

We simplified constraint (61) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(62)    (i1253[9] ≥ 0∧i1255[9] + [-1] ≥ 0∧i1253[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i1253[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR6(&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])), ≥)∧[(-1)bni_42 + (-1)Bound*bni_42] + [(-1)bni_42]i1253[9] + [bni_42]i2[9] ≥ 0∧[(-1)bso_43] ≥ 0)

We simplified constraint (62) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(63)    (i1253[9] ≥ 0∧i1255[9] + [-1] ≥ 0∧i1253[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i1253[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR6(&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])), ≥)∧0 = 0∧[(-1)bni_42 + (-1)Bound*bni_42] + [(-1)bni_42]i1253[9] + [bni_42]i2[9] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)

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

(64)    ([1] + i1253[9] ≥ 0∧i1255[9] + [-1] ≥ 0∧i1253[9] ≥ 0∧i2[9] + [-2] + [-1]i1253[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR6(&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])), ≥)∧0 = 0∧[(-2)bni_42 + (-1)Bound*bni_42] + [(-1)bni_42]i1253[9] + [bni_42]i2[9] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)

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

(65)    ([1] + i1253[9] ≥ 0∧i1255[9] ≥ 0∧i1253[9] ≥ 0∧i2[9] + [-2] + [-1]i1253[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR6(&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])), ≥)∧0 = 0∧[(-2)bni_42 + (-1)Bound*bni_42] + [(-1)bni_42]i1253[9] + [bni_42]i2[9] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)

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

(66)    ([1] + i1253[9] ≥ 0∧i1255[9] ≥ 0∧i1253[9] ≥ 0∧i2[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR6(&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])), ≥)∧0 = 0∧[(-1)Bound*bni_42] + [bni_42]i2[9] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)

For Pair COND_LOAD7791ARR6(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → LOAD7791(java.lang.Object(ARRAY(i2, a5234data)), +(i1253, 1), +(i1255, -1)) the following chains were created:
• We consider the chain COND_LOAD7791ARR6(TRUE, java.lang.Object(ARRAY(i2[10], a5234data[10])), i1253[10], i1255[10]) → LOAD7791(java.lang.Object(ARRAY(i2[10], a5234data[10])), +(i1253[10], 1), +(i1255[10], -1)) which results in the following constraint:

(67)    (COND_LOAD7791ARR6(TRUE, java.lang.Object(ARRAY(i2[10], a5234data[10])), i1253[10], i1255[10])≥NonInfC∧COND_LOAD7791ARR6(TRUE, java.lang.Object(ARRAY(i2[10], a5234data[10])), i1253[10], i1255[10])≥LOAD7791(java.lang.Object(ARRAY(i2[10], a5234data[10])), +(i1253[10], 1), +(i1255[10], -1))∧(UIncreasing(LOAD7791(java.lang.Object(ARRAY(i2[10], a5234data[10])), +(i1253[10], 1), +(i1255[10], -1))), ≥))

We simplified constraint (67) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(68)    ((UIncreasing(LOAD7791(java.lang.Object(ARRAY(i2[10], a5234data[10])), +(i1253[10], 1), +(i1255[10], -1))), ≥)∧[1 + (-1)bso_45] ≥ 0)

We simplified constraint (68) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(69)    ((UIncreasing(LOAD7791(java.lang.Object(ARRAY(i2[10], a5234data[10])), +(i1253[10], 1), +(i1255[10], -1))), ≥)∧[1 + (-1)bso_45] ≥ 0)

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

(70)    ((UIncreasing(LOAD7791(java.lang.Object(ARRAY(i2[10], a5234data[10])), +(i1253[10], 1), +(i1255[10], -1))), ≥)∧[1 + (-1)bso_45] ≥ 0)

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

(71)    ((UIncreasing(LOAD7791(java.lang.Object(ARRAY(i2[10], a5234data[10])), +(i1253[10], 1), +(i1255[10], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_45] ≥ 0)

For Pair LOAD7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → LOAD7791ARR8(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) the following chains were created:
• We consider the chain LOAD7791(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11]) → LOAD7791ARR8(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11], java.lang.Object(java.lang.String(i1334[11], i1289[11], i1291[11], a5451[11]))) which results in the following constraint:

(72)    (LOAD7791(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11])≥NonInfC∧LOAD7791(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11])≥LOAD7791ARR8(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11], java.lang.Object(java.lang.String(i1334[11], i1289[11], i1291[11], a5451[11])))∧(UIncreasing(LOAD7791ARR8(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11], java.lang.Object(java.lang.String(i1334[11], i1289[11], i1291[11], a5451[11])))), ≥))

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

(73)    ((UIncreasing(LOAD7791ARR8(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11], java.lang.Object(java.lang.String(i1334[11], i1289[11], i1291[11], a5451[11])))), ≥)∧[(-1)bso_47] ≥ 0)

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

(74)    ((UIncreasing(LOAD7791ARR8(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11], java.lang.Object(java.lang.String(i1334[11], i1289[11], i1291[11], a5451[11])))), ≥)∧[(-1)bso_47] ≥ 0)

We simplified constraint (74) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(75)    ((UIncreasing(LOAD7791ARR8(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11], java.lang.Object(java.lang.String(i1334[11], i1289[11], i1291[11], a5451[11])))), ≥)∧[(-1)bso_47] ≥ 0)

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

(76)    ((UIncreasing(LOAD7791ARR8(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11], java.lang.Object(java.lang.String(i1334[11], i1289[11], i1291[11], a5451[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_47] ≥ 0)

For Pair LOAD7791ARR8(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334, 0), >(i1253, 0)), <(i1253, i2)), >(i1255, 0)), >(+(i1253, 1), 0)), java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) the following chains were created:
• We consider the chain LOAD7791ARR8(java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12]))) → COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12]))), COND_LOAD7791ARR8(TRUE, java.lang.Object(ARRAY(i2[13], a5234data[13])), i1253[13], i1255[13], java.lang.Object(java.lang.String(i1334[13], i1289[13], i1291[13], a5451[13]))) → JMP10050'(java.lang.Object(ARRAY(i2[13], a5234data[13])), +(i1253[13], 1), i1255[13]) which results in the following constraint:

(77)    (i1334[12]=i1334[13]i1289[12]=i1289[13]i1291[12]=i1291[13]a5451[12]=a5451[13]&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0))=TRUEi1253[12]=i1253[13]i1255[12]=i1255[13]i2[12]=i2[13]a5234data[12]=a5234data[13]LOAD7791ARR8(java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))≥NonInfC∧LOAD7791ARR8(java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))≥COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))∧(UIncreasing(COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))), ≥))

We simplified constraint (77) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

(78)    (>(+(i1253[12], 1), 0)=TRUE>(i1255[12], 0)=TRUE<(i1253[12], i2[12])=TRUE>(i1334[12], 0)=TRUE>(i1253[12], 0)=TRUELOAD7791ARR8(java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))≥NonInfC∧LOAD7791ARR8(java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))≥COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))∧(UIncreasing(COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))), ≥))

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

(79)    (i1253[12] ≥ 0∧i1255[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i1253[12] ≥ 0∧i1334[12] + [-1] ≥ 0∧i1253[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))), ≥)∧[(-1)bni_48 + (-1)Bound*bni_48] + [(-1)bni_48]i1253[12] + [bni_48]i2[12] ≥ 0∧[(-1)bso_49] ≥ 0)

We simplified constraint (79) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(80)    (i1253[12] ≥ 0∧i1255[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i1253[12] ≥ 0∧i1334[12] + [-1] ≥ 0∧i1253[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))), ≥)∧[(-1)bni_48 + (-1)Bound*bni_48] + [(-1)bni_48]i1253[12] + [bni_48]i2[12] ≥ 0∧[(-1)bso_49] ≥ 0)

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

(81)    (i1253[12] ≥ 0∧i1255[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i1253[12] ≥ 0∧i1334[12] + [-1] ≥ 0∧i1253[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))), ≥)∧[(-1)bni_48 + (-1)Bound*bni_48] + [(-1)bni_48]i1253[12] + [bni_48]i2[12] ≥ 0∧[(-1)bso_49] ≥ 0)

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

(82)    (i1253[12] ≥ 0∧i1255[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i1253[12] ≥ 0∧i1334[12] + [-1] ≥ 0∧i1253[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bni_48 + (-1)Bound*bni_48] + [(-1)bni_48]i1253[12] + [bni_48]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 0)

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

(83)    ([1] + i1253[12] ≥ 0∧i1255[12] + [-1] ≥ 0∧i2[12] + [-2] + [-1]i1253[12] ≥ 0∧i1334[12] + [-1] ≥ 0∧i1253[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-2)bni_48 + (-1)Bound*bni_48] + [(-1)bni_48]i1253[12] + [bni_48]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 0)

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

(84)    ([1] + i1253[12] ≥ 0∧i1255[12] ≥ 0∧i2[12] + [-2] + [-1]i1253[12] ≥ 0∧i1334[12] + [-1] ≥ 0∧i1253[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-2)bni_48 + (-1)Bound*bni_48] + [(-1)bni_48]i1253[12] + [bni_48]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 0)

We simplified constraint (84) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(85)    ([1] + i1253[12] ≥ 0∧i1255[12] ≥ 0∧i2[12] ≥ 0∧i1334[12] + [-1] ≥ 0∧i1253[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_48] + [bni_48]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 0)

We simplified constraint (85) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(86)    ([1] + i1253[12] ≥ 0∧i1255[12] ≥ 0∧i2[12] ≥ 0∧i1334[12] ≥ 0∧i1253[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_48] + [bni_48]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 0)

For Pair COND_LOAD7791ARR8(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → JMP10050'(java.lang.Object(ARRAY(i2, a5234data)), +(i1253, 1), i1255) the following chains were created:
• We consider the chain COND_LOAD7791ARR8(TRUE, java.lang.Object(ARRAY(i2[13], a5234data[13])), i1253[13], i1255[13], java.lang.Object(java.lang.String(i1334[13], i1289[13], i1291[13], a5451[13]))) → JMP10050'(java.lang.Object(ARRAY(i2[13], a5234data[13])), +(i1253[13], 1), i1255[13]) which results in the following constraint:

(87)    (COND_LOAD7791ARR8(TRUE, java.lang.Object(ARRAY(i2[13], a5234data[13])), i1253[13], i1255[13], java.lang.Object(java.lang.String(i1334[13], i1289[13], i1291[13], a5451[13])))≥NonInfC∧COND_LOAD7791ARR8(TRUE, java.lang.Object(ARRAY(i2[13], a5234data[13])), i1253[13], i1255[13], java.lang.Object(java.lang.String(i1334[13], i1289[13], i1291[13], a5451[13])))≥JMP10050'(java.lang.Object(ARRAY(i2[13], a5234data[13])), +(i1253[13], 1), i1255[13])∧(UIncreasing(JMP10050'(java.lang.Object(ARRAY(i2[13], a5234data[13])), +(i1253[13], 1), i1255[13])), ≥))

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

(88)    ((UIncreasing(JMP10050'(java.lang.Object(ARRAY(i2[13], a5234data[13])), +(i1253[13], 1), i1255[13])), ≥)∧[1 + (-1)bso_51] ≥ 0)

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

(89)    ((UIncreasing(JMP10050'(java.lang.Object(ARRAY(i2[13], a5234data[13])), +(i1253[13], 1), i1255[13])), ≥)∧[1 + (-1)bso_51] ≥ 0)

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

(90)    ((UIncreasing(JMP10050'(java.lang.Object(ARRAY(i2[13], a5234data[13])), +(i1253[13], 1), i1255[13])), ≥)∧[1 + (-1)bso_51] ≥ 0)

We simplified constraint (90) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(91)    ((UIncreasing(JMP10050'(java.lang.Object(ARRAY(i2[13], a5234data[13])), +(i1253[13], 1), i1255[13])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_51] ≥ 0)

To summarize, we get the following constraints P for the following pairs.
• LOAD7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → LOAD7791ARR4(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
• ((UIncreasing(LOAD7791ARR4(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_25] ≥ 0)

• LOAD7791ARR4(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → COND_LOAD7791ARR4(&&(&&(&&(>(i1253, 0), <(i1253, i2)), >(i1255, 0)), >(+(i1253, 1), 0)), java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
• ([1] + i1253[1] ≥ 0∧i1255[1] ≥ 0∧i1253[1] ≥ 0∧i2[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])), ≥)∧0 = 0∧[(-1)Bound*bni_26] + [bni_26]i2[1] ≥ 0∧0 = 0∧[(-1)bso_27] ≥ 0)

• COND_LOAD7791ARR4(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → INC9967(java.lang.Object(ARRAY(i2, a5234data)), +(i1253, 1), i1255)
• ((UIncreasing(INC9967(java.lang.Object(ARRAY(i2[2], a5234data[2])), +(i1253[2], 1), i1255[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_29] ≥ 0)

• JMP10050'(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255) → INC9967(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255)
• ((UIncreasing(INC9967(java.lang.Object(ARRAY(i2[3], a5234data[3])), i1268[3], i1255[3])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)

• LOAD7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → LOAD7791ARR5(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
• ((UIncreasing(LOAD7791ARR5(java.lang.Object(ARRAY(i2[4], a5234data[4])), i1253[4], i1255[4], java.lang.Object(java.lang.String(i1334[4], i1289[4], i1291[4], a5451[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_33] ≥ 0)

• LOAD7791ARR5(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334, 0), >(i1253, 0)), <(i1253, i2)), >(i1255, 0)), >(+(i1253, 1), 0)), java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
• ([1] + i1253[5] ≥ 0∧i1255[5] ≥ 0∧i2[5] ≥ 0∧i1334[5] ≥ 0∧i1253[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_34] + [bni_34]i2[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

• COND_LOAD7791ARR5(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → INC9967(java.lang.Object(ARRAY(i2, a5234data)), +(i1253, 1), i1255)
• ((UIncreasing(INC9967(java.lang.Object(ARRAY(i2[6], a5234data[6])), +(i1253[6], 1), i1255[6])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_37] ≥ 0)

• INC9967(java.lang.Object(ARRAY(i2, a5234data)), i1268, i1255) → LOAD7791(java.lang.Object(ARRAY(i2, a5234data)), i1268, +(i1255, -1))
• ((UIncreasing(LOAD7791(java.lang.Object(ARRAY(i2[7], a5234data[7])), i1268[7], +(i1255[7], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)

• LOAD7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → LOAD7791ARR6(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
• ((UIncreasing(LOAD7791ARR6(java.lang.Object(ARRAY(i2[8], a5234data[8])), i1253[8], i1255[8])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)

• LOAD7791ARR6(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → COND_LOAD7791ARR6(&&(&&(&&(>(i1253, 0), <(i1253, i2)), >(i1255, 0)), >(+(i1253, 1), 0)), java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255)
• ([1] + i1253[9] ≥ 0∧i1255[9] ≥ 0∧i1253[9] ≥ 0∧i2[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR6(&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])), ≥)∧0 = 0∧[(-1)Bound*bni_42] + [bni_42]i2[9] ≥ 0∧0 = 0∧[(-1)bso_43] ≥ 0)

• COND_LOAD7791ARR6(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → LOAD7791(java.lang.Object(ARRAY(i2, a5234data)), +(i1253, 1), +(i1255, -1))
• ((UIncreasing(LOAD7791(java.lang.Object(ARRAY(i2[10], a5234data[10])), +(i1253[10], 1), +(i1255[10], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_45] ≥ 0)

• LOAD7791(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255) → LOAD7791ARR8(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
• ((UIncreasing(LOAD7791ARR8(java.lang.Object(ARRAY(i2[11], a5234data[11])), i1253[11], i1255[11], java.lang.Object(java.lang.String(i1334[11], i1289[11], i1291[11], a5451[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_47] ≥ 0)

• LOAD7791ARR8(java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334, 0), >(i1253, 0)), <(i1253, i2)), >(i1255, 0)), >(+(i1253, 1), 0)), java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451)))
• ([1] + i1253[12] ≥ 0∧i1255[12] ≥ 0∧i2[12] ≥ 0∧i1334[12] ≥ 0∧i1253[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_48] + [bni_48]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 0)

• COND_LOAD7791ARR8(TRUE, java.lang.Object(ARRAY(i2, a5234data)), i1253, i1255, java.lang.Object(java.lang.String(i1334, i1289, i1291, a5451))) → JMP10050'(java.lang.Object(ARRAY(i2, a5234data)), +(i1253, 1), i1255)
• ((UIncreasing(JMP10050'(java.lang.Object(ARRAY(i2[13], a5234data[13])), +(i1253[13], 1), i1255[13])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_51] ≥ 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(LOAD7791(x1, x2, x3)) = [-1] + [-1]x1 + [-1]x2
POL(java.lang.Object(x1)) = x1
POL(ARRAY(x1, x2)) = [-1]x1
POL(LOAD7791ARR4(x1, x2, x3)) = [-1] + [-1]x1 + [-1]x2
POL(COND_LOAD7791ARR4(x1, x2, x3, x4)) = [-1] + [-1]x2 + [-1]x3
POL(&&(x1, x2)) = [-1]
POL(>(x1, x2)) = [-1]
POL(0) = 0
POL(<(x1, x2)) = [-1]
POL(+(x1, x2)) = x1 + x2
POL(1) = [1]
POL(INC9967(x1, x2, x3)) = [-1] + [-1]x2 + [-1]x1
POL(JMP10050'(x1, x2, x3)) = [-1] + [-1]x2 + [-1]x1
POL(LOAD7791ARR5(x1, x2, x3, x4)) = [-1] + [-1]x1 + [-1]x2
POL(java.lang.String(x1, x2, x3, x4)) = [-1] + [-1]x4 + [-1]x3 + [-1]x1
POL(COND_LOAD7791ARR5(x1, x2, x3, x4, x5)) = [-1] + [-1]x2 + [-1]x3
POL(-1) = [-1]
POL(LOAD7791ARR6(x1, x2, x3)) = [-1] + [-1]x2 + [-1]x1
POL(COND_LOAD7791ARR6(x1, x2, x3, x4)) = [-1] + [-1]x3 + [-1]x2
POL(LOAD7791ARR8(x1, x2, x3, x4)) = [-1] + [-1]x2 + [-1]x1
POL(COND_LOAD7791ARR8(x1, x2, x3, x4, x5)) = [-1] + [-1]x3 + [-1]x2

The following pairs are in P>:

COND_LOAD7791ARR4(TRUE, java.lang.Object(ARRAY(i2[2], a5234data[2])), i1253[2], i1255[2]) → INC9967(java.lang.Object(ARRAY(i2[2], a5234data[2])), +(i1253[2], 1), i1255[2])
COND_LOAD7791ARR5(TRUE, java.lang.Object(ARRAY(i2[6], a5234data[6])), i1253[6], i1255[6], java.lang.Object(java.lang.String(i1334[6], i1289[6], i1291[6], a5451[6]))) → INC9967(java.lang.Object(ARRAY(i2[6], a5234data[6])), +(i1253[6], 1), i1255[6])
COND_LOAD7791ARR6(TRUE, java.lang.Object(ARRAY(i2[10], a5234data[10])), i1253[10], i1255[10]) → LOAD7791(java.lang.Object(ARRAY(i2[10], a5234data[10])), +(i1253[10], 1), +(i1255[10], -1))
COND_LOAD7791ARR8(TRUE, java.lang.Object(ARRAY(i2[13], a5234data[13])), i1253[13], i1255[13], java.lang.Object(java.lang.String(i1334[13], i1289[13], i1291[13], a5451[13]))) → JMP10050'(java.lang.Object(ARRAY(i2[13], a5234data[13])), +(i1253[13], 1), i1255[13])

The following pairs are in Pbound:

LOAD7791ARR4(java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1]) → COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1], 0), <(i1253[1], i2[1])), >(i1255[1], 0)), >(+(i1253[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1])
LOAD7791ARR5(java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5]))) → COND_LOAD7791ARR5(&&(&&(&&(&&(>(i1334[5], 0), >(i1253[5], 0)), <(i1253[5], i2[5])), >(i1255[5], 0)), >(+(i1253[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a5234data[5])), i1253[5], i1255[5], java.lang.Object(java.lang.String(i1334[5], i1289[5], i1291[5], a5451[5])))
LOAD7791ARR6(java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9]) → COND_LOAD7791ARR6(&&(&&(&&(>(i1253[9], 0), <(i1253[9], i2[9])), >(i1255[9], 0)), >(+(i1253[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a5234data[9])), i1253[9], i1255[9])
LOAD7791ARR8(java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12]))) → COND_LOAD7791ARR8(&&(&&(&&(&&(>(i1334[12], 0), >(i1253[12], 0)), <(i1253[12], i2[12])), >(i1255[12], 0)), >(+(i1253[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a5234data[12])), i1253[12], i1255[12], java.lang.Object(java.lang.String(i1334[12], i1289[12], i1291[12], a5451[12])))

The following pairs are in P:

LOAD7791(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0]) → LOAD7791ARR4(java.lang.Object(ARRAY(i2[0], a5234data[0])), i1253[0], i1255[0])
LOAD7791ARR4(java.lang.Object(ARRAY(i2[1], a5234data[1])), i1253[1], i1255[1]) → COND_LOAD7791ARR4(&&(&&(&&(>(i1253[1