Termination of the given JBC could be proven:

0 JBC
↳1 JBC2FIG (⇐)
↳2 FIGraph
↳3 FIGtoITRSProof (⇐)
↳4 AND
    ↳5 ITRS
        ↳6 DuplicateArgsRemoverProof (⇔)
        ↳7 ITRS
        ↳8 ITRStoQTRSProof (⇔)
        ↳9 QTRS
        ↳10 QTRSRRRProof (⇔)
        ↳11 QTRS
        ↳12 QTRSRRRProof (⇔)
        ↳13 QTRS
        ↳14 RisEmptyProof (⇔)
        ↳15 TRUE
    ↳16 ITRS
        ↳17 DuplicateArgsRemoverProof (⇔)
        ↳18 ITRS
        ↳19 ITRSFilterProcessorProof (⇐)
        ↳20 ITRS
        ↳21 ITRSFSMergerProof (⇐)
        ↳22 ITRS
        ↳23 ITRStoIDPProof (⇔)
        ↳24 IDP
        ↳25 UsableRulesProof (⇔)
        ↳26 IDP
        ↳27 ItpfGraphProof (⇔)
        ↳28 IDP
        ↳29 IDPNonInfProof (⇐)
        ↳30 AND
            ↳31 IDP
                ↳32 IDependencyGraphProof (⇔)
                ↳33 TRUE
            ↳34 IDP
                ↳35 IDependencyGraphProof (⇔)
                ↳36 TRUE
    ↳37 ITRS
        ↳38 DuplicateArgsRemoverProof (⇔)
        ↳39 ITRS
        ↳40 ITRSFilterProcessorProof (⇐)
        ↳41 ITRS
        ↳42 ITRSFSMergerProof (⇐)
        ↳43 ITRS
        ↳44 ITRStoIDPProof (⇔)
        ↳45 IDP
        ↳46 UsableRulesProof (⇔)
        ↳47 IDP
        ↳48 ItpfGraphProof (⇔)
        ↳49 IDP
        ↳50 IDPNonInfProof (⇐)
        ↳51 AND
            ↳52 IDP
                ↳53 IDependencyGraphProof (⇔)
                ↳54 TRUE
            ↳55 IDP
                ↳56 IDependencyGraphProof (⇔)
                ↳57 TRUE
    ↳58 ITRS
        ↳59 DuplicateArgsRemoverProof (⇔)
        ↳60 ITRS
        ↳61 ITRSFilterProcessorProof (⇐)
        ↳62 ITRS
        ↳63 ITRSFSMergerProof (⇐)
        ↳64 ITRS
        ↳65 ITRStoIDPProof (⇔)
        ↳66 IDP
        ↳67 UsableRulesProof (⇔)
        ↳68 IDP
        ↳69 ItpfGraphProof (⇔)
        ↳70 IDP
        ↳71 IDPNonInfProof (⇐)
        ↳72 AND
            ↳73 IDP
                ↳74 IDependencyGraphProof (⇔)
                ↳75 TRUE
            ↳76 IDP
                ↳77 IDependencyGraphProof (⇔)
                ↳78 TRUE

(0) Obligation:

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

Manifest-Version: 1.0 Created-By: 1.6.0_16 (Sun Microsystems Inc.) Main-Class: LessLeaves

(1) JBC2FIG (SOUND transformation)

Constructed FIGraph.

(2) Obligation:

FIGraph based on JBC Program:
Graph of 1140 nodes with 4 SCCs.

(3) FIGtoITRSProof (SOUND transformation)

Transformed FIGraph to ITRS rules

(4) Complex Obligation (AND)

(5) Obligation:

ITRS problem:

The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean

The TRS R consists of the following rules:
Load30394(o46996, o46995, o46993, o46994) → NULL30760(o46996, o46995, o46993, o46994, o46993)
NULL30760(o47598, o47597, java.lang.Object(Tree(o48058Field0, o48058Field1, o48058Field2)), o47596, java.lang.Object(Tree(o48058Field0, o48058Field1, o48058Field2))) → Load31061(o47598, o47597, java.lang.Object(Tree(o48058Field0, o48058Field1, o48058Field2)), o47596)
Load31061(o48434, o48433, java.lang.Object(Tree(java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)), o51151, o51152)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2))) → Load33429(o48434, o48433, java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2)), java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)), java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)), java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)))
Load33429(o54782, o54781, java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o55310, java.lang.Object(Tree(o55746Field0, o55746Field1, o55746Field2)), o55312))) → Load33429(o54782, o54781, java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o55746Field0, o55746Field1, o55746Field2)))
Load33429(o54782, o54781, java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o55310, NULL, o55312))) → Load32946(o54782, o54781, java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)))
Load33525(java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), o54852, java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o55395, NULL, o55397))) → Load32946(java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), o54852, java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)))
Load31061(java.lang.Object(Tree(NULL, o51156, o51157)), o48433, java.lang.Object(Tree(NULL, o51156, o51157)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2))) → Load32946(java.lang.Object(Tree(NULL, o51156, o51157)), o48433, o51156, java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2)))
Load32946(o48434, o48433, o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), o54053, o54054))) → Load34715(o48434, o48433, o51151, java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)))
Load31061(o48434, o48433, java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), o54053, o54054))) → Load34715(o48434, o48433, o51151, java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)))
Load34715(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o58489, java.lang.Object(Tree(o59132Field0, o59132Field1, o59132Field2)), o58491))) → Load34715(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o59132Field0, o59132Field1, o59132Field2)))
Load34715(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o58489, NULL, o58491))) → JMP33894(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)))
Load34789(o57854, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), o57851, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o58510, NULL, o58512))) → JMP33894(o57854, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), o57851, java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)))
Load32946(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), o51151, java.lang.Object(Tree(NULL, o54058, o54059))) → JMP33894(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), o51151, o54058)
Load31061(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(NULL, o54058, o54059))) → JMP33894(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), o51151, o54058)
JMP33894(o48434, o48433, o51151, o54053) → Load30394(o48434, o48433, o51151, o54053)
Load32946(o48434, o48433, o51151, java.lang.Object(Tree(NULL, o54053, o54054))) → Load30394(o48434, o48433, o51151, o54053)
Load31061(o48434, o48433, java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(NULL, o54053, o54054))) → Load30394(o48434, o48433, o51151, o54053)
Load32946(o48434, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059))) → Load34789(o48434, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)))
Load31061(o48434, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059))) → Load34789(o48434, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)))
Load34789(o57854, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), o57851, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o58510, java.lang.Object(Tree(o59183Field0, o59183Field1, o59183Field2)), o58512))) → Load34789(o57854, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), o57851, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o59183Field0, o59183Field1, o59183Field2)))
Load31061(java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), o48433, java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2))) → Load33525(java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), o48433, java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2)), java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)))
Load33525(java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), o54852, java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o55395, java.lang.Object(Tree(o55824Field0, o55824Field1, o55824Field2)), o55397))) → Load33525(java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), o54852, java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o55824Field0, o55824Field1, o55824Field2)))
The set Q consists of the following terms:
Load30394(x0, x1, x2, x3)
NULL30760(x0, x1, java.lang.Object(Tree(x2, x3, x4)), x5, java.lang.Object(Tree(x2, x3, x4)))
Load31061(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3, x4)), x5, x6)), java.lang.Object(Tree(x7, x8, x9)))
Load33429(x0, x1, java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(Tree(x8, java.lang.Object(Tree(x9, x10, x11)), x12)))
Load33429(x0, x1, java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(Tree(x8, NULL, x9)))
Load33525(java.lang.Object(Tree(java.lang.Object(Tree(x0, x1, x2)), x3, x4)), x5, java.lang.Object(Tree(java.lang.Object(Tree(x0, x1, x2)), x3, x4)), java.lang.Object(Tree(x6, x7, x8)), java.lang.Object(Tree(x0, x1, x2)), java.lang.Object(Tree(x0, x1, x2)), java.lang.Object(Tree(x9, NULL, x10)))
Load31061(java.lang.Object(Tree(NULL, x0, x1)), x2, java.lang.Object(Tree(NULL, x0, x1)), java.lang.Object(Tree(x3, x4, x5)))
Load32946(x0, x1, x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)))
Load31061(x0, x1, java.lang.Object(Tree(NULL, x2, x3)), java.lang.Object(Tree(java.lang.Object(Tree(x4, x5, x6)), x7, x8)))
Load34715(x0, x1, x2, java.lang.Object(Tree(x3, x4, x5)), java.lang.Object(Tree(x3, x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8, x9)), x10)))
Load34715(x0, x1, x2, java.lang.Object(Tree(x3, x4, x5)), java.lang.Object(Tree(x3, x4, x5)), java.lang.Object(Tree(x6, NULL, x7)))
Load34789(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2, x3)), x4, x5)), x6, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2, x3)), x4, x5)), java.lang.Object(Tree(x1, x2, x3)), java.lang.Object(Tree(x1, x2, x3)), java.lang.Object(Tree(x7, NULL, x8)))
JMP33894(x0, x1, x2, x3)
Load32946(x0, x1, x2, java.lang.Object(Tree(NULL, x3, x4)))
Load31061(x0, x1, java.lang.Object(Tree(NULL, x2, x3)), java.lang.Object(Tree(NULL, x4, x5)))
Load34789(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2, x3)), x4, x5)), x6, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2, x3)), x4, x5)), java.lang.Object(Tree(x1, x2, x3)), java.lang.Object(Tree(x1, x2, x3)), java.lang.Object(Tree(x7, java.lang.Object(Tree(x8, x9, x10)), x11)))
Load33525(java.lang.Object(Tree(java.lang.Object(Tree(x0, x1, x2)), x3, x4)), x5, java.lang.Object(Tree(java.lang.Object(Tree(x0, x1, x2)), x3, x4)), java.lang.Object(Tree(x6, x7, x8)), java.lang.Object(Tree(x0, x1, x2)), java.lang.Object(Tree(x0, x1, x2)), java.lang.Object(Tree(x9, java.lang.Object(Tree(x10, x11, x12)), x13)))

(6) DuplicateArgsRemoverProof (EQUIVALENT transformation)

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

Load33525(x1, x2, x3, x4, x5, x6, x7) → Load33525(x2, x3, x4, x6, x7)
Load34789(x1, x2, x3, x4, x5, x6, x7) → Load34789(x1, x3, x4, x6, x7)
Load34715(x1, x2, x3, x4, x5, x6) → Load34715(x1, x2, x3, x5, x6)
Load33429(x1, x2, x3, x4, x5, x6) → Load33429(x1, x2, x3, x5, x6)
NULL30760(x1, x2, x3, x4, x5) → NULL30760(x1, x2, x4, x5)

(7) Obligation:

ITRS problem:

The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean

The TRS R consists of the following rules:
Load30394(o46996, o46995, o46993, o46994) → NULL30760(o46996, o46995, o46994, o46993)
NULL30760(o47598, o47597, o47596, java.lang.Object(Tree(o48058Field0, o48058Field1, o48058Field2))) → Load31061(o47598, o47597, java.lang.Object(Tree(o48058Field0, o48058Field1, o48058Field2)), o47596)
Load31061(o48434, o48433, java.lang.Object(Tree(java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)), o51151, o51152)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2))) → Load33429(o48434, o48433, java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2)), java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)), java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)))
Load33429(o54782, o54781, java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o55310, java.lang.Object(Tree(o55746Field0, o55746Field1, o55746Field2)), o55312))) → Load33429(o54782, o54781, java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o55746Field0, o55746Field1, o55746Field2)))
Load33429(o54782, o54781, java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o55310, NULL, o55312))) → Load32946(o54782, o54781, java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)))
Load33525(o54852, java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o55395, NULL, o55397))) → Load32946(java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), o54852, java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)))
Load31061(java.lang.Object(Tree(NULL, o51156, o51157)), o48433, java.lang.Object(Tree(NULL, o51156, o51157)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2))) → Load32946(java.lang.Object(Tree(NULL, o51156, o51157)), o48433, o51156, java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2)))
Load32946(o48434, o48433, o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), o54053, o54054))) → Load34715(o48434, o48433, o51151, java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)))
Load31061(o48434, o48433, java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), o54053, o54054))) → Load34715(o48434, o48433, o51151, java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)))
Load34715(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o58489, java.lang.Object(Tree(o59132Field0, o59132Field1, o59132Field2)), o58491))) → Load34715(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o59132Field0, o59132Field1, o59132Field2)))
Load34715(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o58489, NULL, o58491))) → JMP33894(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)))
Load34789(o57854, o57851, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o58510, NULL, o58512))) → JMP33894(o57854, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), o57851, java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)))
Load32946(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), o51151, java.lang.Object(Tree(NULL, o54058, o54059))) → JMP33894(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), o51151, o54058)
Load31061(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(NULL, o54058, o54059))) → JMP33894(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), o51151, o54058)
JMP33894(o48434, o48433, o51151, o54053) → Load30394(o48434, o48433, o51151, o54053)
Load32946(o48434, o48433, o51151, java.lang.Object(Tree(NULL, o54053, o54054))) → Load30394(o48434, o48433, o51151, o54053)
Load31061(o48434, o48433, java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(NULL, o54053, o54054))) → Load30394(o48434, o48433, o51151, o54053)
Load32946(o48434, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059))) → Load34789(o48434, o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)))
Load31061(o48434, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059))) → Load34789(o48434, o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)))
Load34789(o57854, o57851, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o58510, java.lang.Object(Tree(o59183Field0, o59183Field1, o59183Field2)), o58512))) → Load34789(o57854, o57851, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o59183Field0, o59183Field1, o59183Field2)))
Load31061(java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), o48433, java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2))) → Load33525(o48433, java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2)), java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)))
Load33525(o54852, java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o55395, java.lang.Object(Tree(o55824Field0, o55824Field1, o55824Field2)), o55397))) → Load33525(o54852, java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o55824Field0, o55824Field1, o55824Field2)))
The set Q consists of the following terms:
Load30394(x0, x1, x2, x3)
NULL30760(x0, x1, x2, java.lang.Object(Tree(x3, x4, x5)))
Load31061(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3, x4)), x5, x6)), java.lang.Object(Tree(x7, x8, x9)))
Load33429(x0, x1, java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(Tree(x8, java.lang.Object(Tree(x9, x10, x11)), x12)))
Load33429(x0, x1, java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(Tree(x8, NULL, x9)))
Load33525(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2, x3)), x4, x5)), java.lang.Object(Tree(x6, x7, x8)), java.lang.Object(Tree(x1, x2, x3)), java.lang.Object(Tree(x9, NULL, x10)))
Load31061(java.lang.Object(Tree(NULL, x0, x1)), x2, java.lang.Object(Tree(NULL, x0, x1)), java.lang.Object(Tree(x3, x4, x5)))
Load32946(x0, x1, x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)))
Load31061(x0, x1, java.lang.Object(Tree(NULL, x2, x3)), java.lang.Object(Tree(java.lang.Object(Tree(x4, x5, x6)), x7, x8)))
Load34715(x0, x1, x2, java.lang.Object(Tree(x3, x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8, x9)), x10)))
Load34715(x0, x1, x2, java.lang.Object(Tree(x3, x4, x5)), java.lang.Object(Tree(x6, NULL, x7)))
Load34789(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3, x4)), x5, x6)), java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x7, NULL, x8)))
JMP33894(x0, x1, x2, x3)
Load32946(x0, x1, x2, java.lang.Object(Tree(NULL, x3, x4)))
Load31061(x0, x1, java.lang.Object(Tree(NULL, x2, x3)), java.lang.Object(Tree(NULL, x4, x5)))
Load34789(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3, x4)), x5, x6)), java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x7, java.lang.Object(Tree(x8, x9, x10)), x11)))
Load33525(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2, x3)), x4, x5)), java.lang.Object(Tree(x6, x7, x8)), java.lang.Object(Tree(x1, x2, x3)), java.lang.Object(Tree(x9, java.lang.Object(Tree(x10, x11, x12)), x13)))

(8) ITRStoQTRSProof (EQUIVALENT transformation)

Represented integers and predefined function symbols by Terms

(9) Obligation:

Q restricted rewrite system:
The TRS R consists of the following rules:

Load30394(o46996, o46995, o46993, o46994) → NULL30760(o46996, o46995, o46994, o46993)
NULL30760(o47598, o47597, o47596, java.lang.Object(Tree(o48058Field0, o48058Field1, o48058Field2))) → Load31061(o47598, o47597, java.lang.Object(Tree(o48058Field0, o48058Field1, o48058Field2)), o47596)
Load31061(o48434, o48433, java.lang.Object(Tree(java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)), o51151, o51152)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2))) → Load33429(o48434, o48433, java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2)), java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)), java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)))
Load33429(o54782, o54781, java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o55310, java.lang.Object(Tree(o55746Field0, o55746Field1, o55746Field2)), o55312))) → Load33429(o54782, o54781, java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o55746Field0, o55746Field1, o55746Field2)))
Load33429(o54782, o54781, java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o55310, NULL, o55312))) → Load32946(o54782, o54781, java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)))
Load33525(o54852, java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o55395, NULL, o55397))) → Load32946(java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), o54852, java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)))
Load31061(java.lang.Object(Tree(NULL, o51156, o51157)), o48433, java.lang.Object(Tree(NULL, o51156, o51157)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2))) → Load32946(java.lang.Object(Tree(NULL, o51156, o51157)), o48433, o51156, java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2)))
Load32946(o48434, o48433, o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), o54053, o54054))) → Load34715(o48434, o48433, o51151, java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)))
Load31061(o48434, o48433, java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), o54053, o54054))) → Load34715(o48434, o48433, o51151, java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)))
Load34715(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o58489, java.lang.Object(Tree(o59132Field0, o59132Field1, o59132Field2)), o58491))) → Load34715(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o59132Field0, o59132Field1, o59132Field2)))
Load34715(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o58489, NULL, o58491))) → JMP33894(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)))
Load34789(o57854, o57851, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o58510, NULL, o58512))) → JMP33894(o57854, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), o57851, java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)))
Load32946(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), o51151, java.lang.Object(Tree(NULL, o54058, o54059))) → JMP33894(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), o51151, o54058)
Load31061(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(NULL, o54058, o54059))) → JMP33894(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), o51151, o54058)
JMP33894(o48434, o48433, o51151, o54053) → Load30394(o48434, o48433, o51151, o54053)
Load32946(o48434, o48433, o51151, java.lang.Object(Tree(NULL, o54053, o54054))) → Load30394(o48434, o48433, o51151, o54053)
Load31061(o48434, o48433, java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(NULL, o54053, o54054))) → Load30394(o48434, o48433, o51151, o54053)
Load32946(o48434, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059))) → Load34789(o48434, o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)))
Load31061(o48434, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059))) → Load34789(o48434, o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)))
Load34789(o57854, o57851, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o58510, java.lang.Object(Tree(o59183Field0, o59183Field1, o59183Field2)), o58512))) → Load34789(o57854, o57851, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o59183Field0, o59183Field1, o59183Field2)))
Load31061(java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), o48433, java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2))) → Load33525(o48433, java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2)), java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)))
Load33525(o54852, java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o55395, java.lang.Object(Tree(o55824Field0, o55824Field1, o55824Field2)), o55397))) → Load33525(o54852, java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o55824Field0, o55824Field1, o55824Field2)))

The set Q consists of the following terms:

Load30394(x0, x1, x2, x3)
NULL30760(x0, x1, x2, java.lang.Object(Tree(x3, x4, x5)))
Load31061(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3, x4)), x5, x6)), java.lang.Object(Tree(x7, x8, x9)))
Load33429(x0, x1, java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(Tree(x8, java.lang.Object(Tree(x9, x10, x11)), x12)))
Load33429(x0, x1, java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(Tree(x8, NULL, x9)))
Load33525(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2, x3)), x4, x5)), java.lang.Object(Tree(x6, x7, x8)), java.lang.Object(Tree(x1, x2, x3)), java.lang.Object(Tree(x9, NULL, x10)))
Load31061(java.lang.Object(Tree(NULL, x0, x1)), x2, java.lang.Object(Tree(NULL, x0, x1)), java.lang.Object(Tree(x3, x4, x5)))
Load32946(x0, x1, x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)))
Load31061(x0, x1, java.lang.Object(Tree(NULL, x2, x3)), java.lang.Object(Tree(java.lang.Object(Tree(x4, x5, x6)), x7, x8)))
Load34715(x0, x1, x2, java.lang.Object(Tree(x3, x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8, x9)), x10)))
Load34715(x0, x1, x2, java.lang.Object(Tree(x3, x4, x5)), java.lang.Object(Tree(x6, NULL, x7)))
Load34789(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3, x4)), x5, x6)), java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x7, NULL, x8)))
JMP33894(x0, x1, x2, x3)
Load32946(x0, x1, x2, java.lang.Object(Tree(NULL, x3, x4)))
Load31061(x0, x1, java.lang.Object(Tree(NULL, x2, x3)), java.lang.Object(Tree(NULL, x4, x5)))
Load34789(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3, x4)), x5, x6)), java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x7, java.lang.Object(Tree(x8, x9, x10)), x11)))
Load33525(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2, x3)), x4, x5)), java.lang.Object(Tree(x6, x7, x8)), java.lang.Object(Tree(x1, x2, x3)), java.lang.Object(Tree(x9, java.lang.Object(Tree(x10, x11, x12)), x13)))

(10) QTRSRRRProof (EQUIVALENT transformation)

Used ordering:
Polynomial interpretation [POLO]:

POL(JMP33894(x1, x2, x3, x4)) = 2 + x1 + x2 + 2·x3 + x4   
POL(Load30394(x1, x2, x3, x4)) = 1 + x1 + x2 + 2·x3 + x4   
POL(Load31061(x1, x2, x3, x4)) = x1 + x2 + 2·x3 + x4   
POL(Load32946(x1, x2, x3, x4)) = 2 + x1 + x2 + 2·x3 + x4   
POL(Load33429(x1, x2, x3, x4, x5)) = x1 + x2 + x3 + 2·x4 + 2·x5   
POL(Load33525(x1, x2, x3, x4, x5)) = x1 + 2·x2 + x3 + 2·x4 + 2·x5   
POL(Load34715(x1, x2, x3, x4, x5)) = 1 + x1 + x2 + 2·x3 + 2·x4 + 2·x5   
POL(Load34789(x1, x2, x3, x4, x5)) = 1 + x1 + 2·x2 + x3 + x4 + 2·x5   
POL(NULL) = 2   
POL(NULL30760(x1, x2, x3, x4)) = x1 + x2 + x3 + 2·x4   
POL(Tree(x1, x2, x3)) = 2·x1 + 2·x2 + 2·x3   
POL(java.lang.Object(x1)) = 2·x1   
With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:

Load30394(o46996, o46995, o46993, o46994) → NULL30760(o46996, o46995, o46994, o46993)
Load33429(o54782, o54781, java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o55310, NULL, o55312))) → Load32946(o54782, o54781, java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)))
Load33525(o54852, java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o55395, NULL, o55397))) → Load32946(java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), o54852, java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)))
Load31061(java.lang.Object(Tree(NULL, o51156, o51157)), o48433, java.lang.Object(Tree(NULL, o51156, o51157)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2))) → Load32946(java.lang.Object(Tree(NULL, o51156, o51157)), o48433, o51156, java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2)))
Load32946(o48434, o48433, o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), o54053, o54054))) → Load34715(o48434, o48433, o51151, java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)))
Load31061(o48434, o48433, java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), o54053, o54054))) → Load34715(o48434, o48433, o51151, java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)), java.lang.Object(Tree(o54961Field0, o54961Field1, o54961Field2)))
Load34715(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o58489, NULL, o58491))) → JMP33894(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)))
Load34789(o57854, o57851, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o58510, NULL, o58512))) → JMP33894(o57854, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), o57851, java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)))
Load32946(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), o51151, java.lang.Object(Tree(NULL, o54058, o54059))) → JMP33894(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), o51151, o54058)
Load31061(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(NULL, o54058, o54059))) → JMP33894(o48434, java.lang.Object(Tree(NULL, o54058, o54059)), o51151, o54058)
JMP33894(o48434, o48433, o51151, o54053) → Load30394(o48434, o48433, o51151, o54053)
Load32946(o48434, o48433, o51151, java.lang.Object(Tree(NULL, o54053, o54054))) → Load30394(o48434, o48433, o51151, o54053)
Load31061(o48434, o48433, java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(NULL, o54053, o54054))) → Load30394(o48434, o48433, o51151, o54053)
Load32946(o48434, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059))) → Load34789(o48434, o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)))
Load31061(o48434, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), java.lang.Object(Tree(NULL, o51151, o51152)), java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059))) → Load34789(o48434, o51151, java.lang.Object(Tree(java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), o54058, o54059)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)), java.lang.Object(Tree(o54988Field0, o54988Field1, o54988Field2)))


(11) Obligation:

Q restricted rewrite system:
The TRS R consists of the following rules:

NULL30760(o47598, o47597, o47596, java.lang.Object(Tree(o48058Field0, o48058Field1, o48058Field2))) → Load31061(o47598, o47597, java.lang.Object(Tree(o48058Field0, o48058Field1, o48058Field2)), o47596)
Load31061(o48434, o48433, java.lang.Object(Tree(java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)), o51151, o51152)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2))) → Load33429(o48434, o48433, java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2)), java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)), java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)))
Load33429(o54782, o54781, java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o55310, java.lang.Object(Tree(o55746Field0, o55746Field1, o55746Field2)), o55312))) → Load33429(o54782, o54781, java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o55746Field0, o55746Field1, o55746Field2)))
Load34715(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o58489, java.lang.Object(Tree(o59132Field0, o59132Field1, o59132Field2)), o58491))) → Load34715(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o59132Field0, o59132Field1, o59132Field2)))
Load34789(o57854, o57851, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o58510, java.lang.Object(Tree(o59183Field0, o59183Field1, o59183Field2)), o58512))) → Load34789(o57854, o57851, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o59183Field0, o59183Field1, o59183Field2)))
Load31061(java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), o48433, java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2))) → Load33525(o48433, java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2)), java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)))
Load33525(o54852, java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o55395, java.lang.Object(Tree(o55824Field0, o55824Field1, o55824Field2)), o55397))) → Load33525(o54852, java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o55824Field0, o55824Field1, o55824Field2)))

The set Q consists of the following terms:

Load30394(x0, x1, x2, x3)
NULL30760(x0, x1, x2, java.lang.Object(Tree(x3, x4, x5)))
Load31061(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3, x4)), x5, x6)), java.lang.Object(Tree(x7, x8, x9)))
Load33429(x0, x1, java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(Tree(x8, java.lang.Object(Tree(x9, x10, x11)), x12)))
Load33429(x0, x1, java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(Tree(x8, NULL, x9)))
Load33525(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2, x3)), x4, x5)), java.lang.Object(Tree(x6, x7, x8)), java.lang.Object(Tree(x1, x2, x3)), java.lang.Object(Tree(x9, NULL, x10)))
Load31061(java.lang.Object(Tree(NULL, x0, x1)), x2, java.lang.Object(Tree(NULL, x0, x1)), java.lang.Object(Tree(x3, x4, x5)))
Load32946(x0, x1, x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)))
Load31061(x0, x1, java.lang.Object(Tree(NULL, x2, x3)), java.lang.Object(Tree(java.lang.Object(Tree(x4, x5, x6)), x7, x8)))
Load34715(x0, x1, x2, java.lang.Object(Tree(x3, x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8, x9)), x10)))
Load34715(x0, x1, x2, java.lang.Object(Tree(x3, x4, x5)), java.lang.Object(Tree(x6, NULL, x7)))
Load34789(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3, x4)), x5, x6)), java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x7, NULL, x8)))
JMP33894(x0, x1, x2, x3)
Load32946(x0, x1, x2, java.lang.Object(Tree(NULL, x3, x4)))
Load31061(x0, x1, java.lang.Object(Tree(NULL, x2, x3)), java.lang.Object(Tree(NULL, x4, x5)))
Load34789(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3, x4)), x5, x6)), java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x7, java.lang.Object(Tree(x8, x9, x10)), x11)))
Load33525(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2, x3)), x4, x5)), java.lang.Object(Tree(x6, x7, x8)), java.lang.Object(Tree(x1, x2, x3)), java.lang.Object(Tree(x9, java.lang.Object(Tree(x10, x11, x12)), x13)))

(12) QTRSRRRProof (EQUIVALENT transformation)

Used ordering:
Polynomial interpretation [POLO]:

POL(Load31061(x1, x2, x3, x4)) = x1 + 2·x2 + 2·x3 + x4   
POL(Load33429(x1, x2, x3, x4, x5)) = 1 + x1 + x2 + x3 + 2·x4 + 2·x5   
POL(Load33525(x1, x2, x3, x4, x5)) = x1 + x2 + x3 + 2·x4 + x5   
POL(Load34715(x1, x2, x3, x4, x5)) = x1 + x2 + x3 + x4 + x5   
POL(Load34789(x1, x2, x3, x4, x5)) = x1 + x2 + x3 + x4 + x5   
POL(NULL30760(x1, x2, x3, x4)) = 1 + 2·x1 + 2·x2 + 2·x3 + 2·x4   
POL(Tree(x1, x2, x3)) = 1 + 2·x1 + x2 + x3   
POL(java.lang.Object(x1)) = 1 + x1   
With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:

NULL30760(o47598, o47597, o47596, java.lang.Object(Tree(o48058Field0, o48058Field1, o48058Field2))) → Load31061(o47598, o47597, java.lang.Object(Tree(o48058Field0, o48058Field1, o48058Field2)), o47596)
Load31061(o48434, o48433, java.lang.Object(Tree(java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)), o51151, o51152)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2))) → Load33429(o48434, o48433, java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2)), java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)), java.lang.Object(Tree(o53324Field0, o53324Field1, o53324Field2)))
Load33429(o54782, o54781, java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o55310, java.lang.Object(Tree(o55746Field0, o55746Field1, o55746Field2)), o55312))) → Load33429(o54782, o54781, java.lang.Object(Tree(o54780Field0, o54780Field1, o54780Field2)), java.lang.Object(Tree(o54775Field0, o54775Field1, o54775Field2)), java.lang.Object(Tree(o55746Field0, o55746Field1, o55746Field2)))
Load34715(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o58489, java.lang.Object(Tree(o59132Field0, o59132Field1, o59132Field2)), o58491))) → Load34715(o57810, o57809, o57806, java.lang.Object(Tree(o57803Field0, o57803Field1, o57803Field2)), java.lang.Object(Tree(o59132Field0, o59132Field1, o59132Field2)))
Load34789(o57854, o57851, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o58510, java.lang.Object(Tree(o59183Field0, o59183Field1, o59183Field2)), o58512))) → Load34789(o57854, o57851, java.lang.Object(Tree(java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), o57849, o57853)), java.lang.Object(Tree(o57848Field0, o57848Field1, o57848Field2)), java.lang.Object(Tree(o59183Field0, o59183Field1, o59183Field2)))
Load31061(java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), o48433, java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2))) → Load33525(o48433, java.lang.Object(Tree(java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), o51156, o51157)), java.lang.Object(Tree(o49287Field0, o49287Field1, o49287Field2)), java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)), java.lang.Object(Tree(o53341Field0, o53341Field1, o53341Field2)))
Load33525(o54852, java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o55395, java.lang.Object(Tree(o55824Field0, o55824Field1, o55824Field2)), o55397))) → Load33525(o54852, java.lang.Object(Tree(java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), o54847, o54850)), java.lang.Object(Tree(o54851Field0, o54851Field1, o54851Field2)), java.lang.Object(Tree(o54846Field0, o54846Field1, o54846Field2)), java.lang.Object(Tree(o55824Field0, o55824Field1, o55824Field2)))


(13) Obligation:

Q restricted rewrite system:
R is empty.
The set Q consists of the following terms:

Load30394(x0, x1, x2, x3)
NULL30760(x0, x1, x2, java.lang.Object(Tree(x3, x4, x5)))
Load31061(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3, x4)), x5, x6)), java.lang.Object(Tree(x7, x8, x9)))
Load33429(x0, x1, java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(Tree(x8, java.lang.Object(Tree(x9, x10, x11)), x12)))
Load33429(x0, x1, java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x5, x6, x7)), java.lang.Object(Tree(x8, NULL, x9)))
Load33525(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2, x3)), x4, x5)), java.lang.Object(Tree(x6, x7, x8)), java.lang.Object(Tree(x1, x2, x3)), java.lang.Object(Tree(x9, NULL, x10)))
Load31061(java.lang.Object(Tree(NULL, x0, x1)), x2, java.lang.Object(Tree(NULL, x0, x1)), java.lang.Object(Tree(x3, x4, x5)))
Load32946(x0, x1, x2, java.lang.Object(Tree(java.lang.Object(Tree(x3, x4, x5)), x6, x7)))
Load31061(x0, x1, java.lang.Object(Tree(NULL, x2, x3)), java.lang.Object(Tree(java.lang.Object(Tree(x4, x5, x6)), x7, x8)))
Load34715(x0, x1, x2, java.lang.Object(Tree(x3, x4, x5)), java.lang.Object(Tree(x6, java.lang.Object(Tree(x7, x8, x9)), x10)))
Load34715(x0, x1, x2, java.lang.Object(Tree(x3, x4, x5)), java.lang.Object(Tree(x6, NULL, x7)))
Load34789(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3, x4)), x5, x6)), java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x7, NULL, x8)))
JMP33894(x0, x1, x2, x3)
Load32946(x0, x1, x2, java.lang.Object(Tree(NULL, x3, x4)))
Load31061(x0, x1, java.lang.Object(Tree(NULL, x2, x3)), java.lang.Object(Tree(NULL, x4, x5)))
Load34789(x0, x1, java.lang.Object(Tree(java.lang.Object(Tree(x2, x3, x4)), x5, x6)), java.lang.Object(Tree(x2, x3, x4)), java.lang.Object(Tree(x7, java.lang.Object(Tree(x8, x9, x10)), x11)))
Load33525(x0, java.lang.Object(Tree(java.lang.Object(Tree(x1, x2, x3)), x4, x5)), java.lang.Object(Tree(x6, x7, x8)), java.lang.Object(Tree(x1, x2, x3)), java.lang.Object(Tree(x9, java.lang.Object(Tree(x10, x11, x12)), x13)))

(14) RisEmptyProof (EQUIVALENT transformation)

The TRS R is empty. Hence, termination is trivially proven.

(15) TRUE

(16) 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:
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC)))) → Load36680ARR1(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Load36680ARR1(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → Cond_Load36680ARR1(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Cond_Load36680ARR1(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)))
JMP38544(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2))) → Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2)))
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2)), o66785, o66786))) → Load36680ARR2(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2)), o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR2(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2)), o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR2(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2)), o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR2(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2)), o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2)))
Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2))) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965 + -1, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2)))
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2)), o66710))) → Load36680ARR3(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2)), o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Load36680ARR3(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2)), o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → Cond_Load36680ARR3(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2)), o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Cond_Load36680ARR3(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2)), o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965 + -1, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2)))
Inc39895(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC)))) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965 + -1, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))))
JMP39799(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC)))) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965 + -1, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))))
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, NULL, o66710))) → Load36680ARR4(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, NULL, o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Load36680ARR4(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → Cond_Load36680ARR4(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Cond_Load36680ARR4(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965 + -1, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))))
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC)))) → Load36680ARR5(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR5(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR5(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR5(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → JMP38544(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965, java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)))
JMP39848(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC)))) → Inc39895(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))))
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o66785, o66786))) → Load36680ARR6(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR6(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR6(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR6(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Inc39895(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))))
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, NULL, java.lang.Object(EOC))), java.lang.Object(Tree(o63684, NULL, java.lang.Object(EOC)))) → Load36680ARR7(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, NULL, java.lang.Object(EOC))), java.lang.Object(Tree(o63684, NULL, java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Load36680ARR7(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o63684, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → Cond_Load36680ARR7(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o63684, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Cond_Load36680ARR7(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o63684, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → JMP39799(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o63684, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))))
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(NULL, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o63685, java.lang.Object(EOC)))) → Load36680ARR8(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(NULL, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR8(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR8(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR8(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → JMP39848(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o63685, java.lang.Object(EOC))))
The set Q consists of the following terms:
Load36680ARR1(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_Load36680ARR1(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)))
JMP38544(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)))
Load36680(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)))
Load36680ARR2(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_Load36680ARR2(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)))
Inc38465(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)))
Load36680(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)))
Load36680ARR3(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_Load36680ARR3(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)))
Inc39895(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))))
JMP39799(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))))
Load36680(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)))
Load36680ARR4(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_Load36680ARR4(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)))
Load36680ARR5(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_Load36680ARR5(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)))
JMP39848(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))))
Load36680(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)))
Load36680ARR6(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_Load36680ARR6(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)))
Load36680ARR7(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_Load36680ARR7(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)))
Load36680ARR8(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_Load36680ARR8(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)))

(17) DuplicateArgsRemoverProof (EQUIVALENT transformation)

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

JMP39848(x1, x2, x3, x4, x5) → JMP39848(x1, x2, x3, x5)
Cond_Load36680ARR8(x1, x2, x3, x4, x5, x6, x7) → Cond_Load36680ARR8(x1, x2, x3, x4, x6, x7)
Load36680ARR8(x1, x2, x3, x4, x5, x6) → Load36680ARR8(x1, x2, x3, x5, x6)
JMP39799(x1, x2, x3, x4, x5) → JMP39799(x1, x2, x3, x5)
Cond_Load36680ARR7(x1, x2, x3, x4, x5, x6, x7) → Cond_Load36680ARR7(x1, x2, x3, x4, x6, x7)
Load36680ARR7(x1, x2, x3, x4, x5, x6) → Load36680ARR7(x1, x2, x3, x5, x6)
Inc39895(x1, x2, x3, x4, x5) → Inc39895(x1, x2, x3, x5)
Cond_Load36680ARR5(x1, x2, x3, x4, x5, x6, x7) → Cond_Load36680ARR5(x1, x2, x3, x4, x6, x7)
Load36680ARR5(x1, x2, x3, x4, x5, x6) → Load36680ARR5(x1, x2, x3, x5, x6)
Cond_Load36680ARR1(x1, x2, x3, x4, x5, x6, x7) → Cond_Load36680ARR1(x1, x2, x3, x4, x6, x7)
Load36680ARR1(x1, x2, x3, x4, x5, x6) → Load36680ARR1(x1, x2, x3, x5, x6)

(18) 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:
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC)))) → Load36680ARR1(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Load36680ARR1(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → Cond_Load36680ARR1(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Cond_Load36680ARR1(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o67011Field0, o67011Field1, o67011Field2)))
JMP38544(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2))) → Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2)))
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2)), o66785, o66786))) → Load36680ARR2(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2)), o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR2(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2)), o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR2(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2)), o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR2(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2)), o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o67516Field0, o67516Field1, o67516Field2)))
Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2))) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965 + -1, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2)))
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2)), o66710))) → Load36680ARR3(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2)), o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Load36680ARR3(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2)), o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → Cond_Load36680ARR3(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2)), o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Cond_Load36680ARR3(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2)), o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965 + -1, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o67335Field0, o67335Field1, o67335Field2)))
Inc39895(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC)))) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965 + -1, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))))
JMP39799(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC)))) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965 + -1, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))))
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, NULL, o66710))) → Load36680ARR4(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, NULL, o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Load36680ARR4(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → Cond_Load36680ARR4(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Cond_Load36680ARR4(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o66708, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o66710)), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965 + -1, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))))
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC)))) → Load36680ARR5(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR5(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR5(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR5(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → JMP38544(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965, java.lang.Object(Tree(java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)), o63685, java.lang.Object(EOC))), java.lang.Object(Tree(o67195Field0, o67195Field1, o67195Field2)))
JMP39848(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC)))) → Inc39895(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))))
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o66785, o66786))) → Load36680ARR6(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR6(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR6(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR6(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o66785, o66786)), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Inc39895(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965, java.lang.Object(Tree(o63684, o63685, java.lang.Object(EOC))))
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, NULL, java.lang.Object(EOC))), java.lang.Object(Tree(o63684, NULL, java.lang.Object(EOC)))) → Load36680ARR7(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, NULL, java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Load36680ARR7(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → Cond_Load36680ARR7(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776)))
Cond_Load36680ARR7(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i20433, i20435, a47776))) → JMP39799(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965, java.lang.Object(Tree(o63684, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))))
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(NULL, o63685, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o63685, java.lang.Object(EOC)))) → Load36680ARR8(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(NULL, o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR8(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR8(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR8(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o63685, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → JMP39848(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o63685, java.lang.Object(EOC))))
The set Q consists of the following terms:
Load36680ARR1(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_Load36680ARR1(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)))
JMP38544(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)))
Load36680(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)))
Load36680ARR2(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_Load36680ARR2(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)))
Inc38465(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)))
Load36680(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)))
Load36680ARR3(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_Load36680ARR3(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)))
Inc39895(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))))
JMP39799(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))))
Load36680(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)))
Load36680ARR4(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_Load36680ARR4(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)))
Load36680ARR5(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_Load36680ARR5(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)))
JMP39848(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))))
Load36680(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)))
Load36680ARR6(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_Load36680ARR6(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)))
Load36680ARR7(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_Load36680ARR7(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)))
Load36680ARR8(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_Load36680ARR8(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)))

(19) ITRSFilterProcessorProof (SOUND transformation)

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

Load36680(x1, x2, x3, x4, x5) → Load36680(x1, x2, x3)
Tree(x1, x2, x3) → Tree
Load36680ARR1(x1, x2, x3, x4, x5) → Load36680ARR1(x1, x2, x3)
Cond_Load36680ARR1(x1, x2, x3, x4, x5, x6) → Cond_Load36680ARR1(x1, x2, x3, x4)
Inc38465(x1, x2, x3, x4, x5) → Inc38465(x1, x2, x3)
JMP38544(x1, x2, x3, x4, x5) → JMP38544(x1, x2, x3)
Load36680ARR2(x1, x2, x3, x4, x5, x6) → Load36680ARR2(x1, x2, x3, x6)
Cond_Load36680ARR2(x1, x2, x3, x4, x5, x6, x7) → Cond_Load36680ARR2(x1, x2, x3, x4, x7)
Load36680ARR3(x1, x2, x3, x4, x5, x6) → Load36680ARR3(x1, x2, x3)
Cond_Load36680ARR3(x1, x2, x3, x4, x5, x6, x7) → Cond_Load36680ARR3(x1, x2, x3, x4)
Inc39895(x1, x2, x3, x4) → Inc39895(x1, x2, x3)
JMP39799(x1, x2, x3, x4) → JMP39799(x1, x2, x3)
Load36680ARR4(x1, x2, x3, x4, x5, x6) → Load36680ARR4(x1, x2, x3)
Cond_Load36680ARR4(x1, x2, x3, x4, x5, x6, x7) → Cond_Load36680ARR4(x1, x2, x3, x4)
Load36680ARR5(x1, x2, x3, x4, x5) → Load36680ARR5(x1, x2, x3, x5)
Cond_Load36680ARR5(x1, x2, x3, x4, x5, x6) → Cond_Load36680ARR5(x1, x2, x3, x4, x6)
JMP39848(x1, x2, x3, x4) → JMP39848(x1, x2, x3)
Load36680ARR6(x1, x2, x3, x4, x5, x6) → Load36680ARR6(x1, x2, x3, x6)
Cond_Load36680ARR6(x1, x2, x3, x4, x5, x6, x7) → Cond_Load36680ARR6(x1, x2, x3, x4, x7)
Load36680ARR7(x1, x2, x3, x4, x5) → Load36680ARR7(x1, x2, x3)
Cond_Load36680ARR7(x1, x2, x3, x4, x5, x6) → Cond_Load36680ARR7(x1, x2, x3, x4)
Load36680ARR8(x1, x2, x3, x4, x5) → Load36680ARR8(x1, x2, x3, x5)
Cond_Load36680ARR8(x1, x2, x3, x4, x5, x6) → Cond_Load36680ARR8(x1, x2, x3, x4, x6)

(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:
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR1(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Load36680ARR1(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Cond_Load36680ARR1(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Cond_Load36680ARR1(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965)
JMP38544(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965) → Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965)
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR2(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR2(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR2(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR2(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965)
Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965 + -1)
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR3(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Load36680ARR3(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Cond_Load36680ARR3(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Cond_Load36680ARR3(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965 + -1)
Inc39895(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965 + -1)
JMP39799(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965 + -1)
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR4(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Load36680ARR4(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Cond_Load36680ARR4(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Cond_Load36680ARR4(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965 + -1)
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR5(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR5(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR5(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR5(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → JMP38544(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965)
JMP39848(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965) → Inc39895(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965)
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR6(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR6(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR6(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR6(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Inc39895(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965)
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR7(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Load36680ARR7(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Cond_Load36680ARR7(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Cond_Load36680ARR7(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → JMP39799(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965)
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR8(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR8(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR8(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR8(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → JMP39848(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965)
The set Q consists of the following terms:
Load36680(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP38544(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc38465(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Inc39895(java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP39799(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR4(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR4(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
JMP39848(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR6(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR6(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Load36680ARR7(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR7(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR8(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR8(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(21) ITRSFSMergerProof (SOUND transformation)

The following function symbols have been merged:

Load36680ARR1, Load36680ARR7
 > Load36680ARR1_3

Load36680ARR3, Load36680ARR4
 > Load36680ARR3_3

Cond_Load36680ARR1, Cond_Load36680ARR7
 > Cond_Load36680ARR1_4

JMP38544, JMP39848
 > JMP38544_3

Load36680ARR2, Load36680ARR6
 > Load36680ARR2_4

Load36680ARR5, Load36680ARR8
 > Load36680ARR5_4

Cond_Load36680ARR5, Cond_Load36680ARR8
 > Cond_Load36680ARR5_5

Cond_Load36680ARR2, Cond_Load36680ARR6
 > Cond_Load36680ARR2_5

Inc38465, Inc39895, JMP39799
 > Inc38465_3

Cond_Load36680ARR3, Cond_Load36680ARR4
 > Cond_Load36680ARR3_4

(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:
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR1(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Load36680ARR1(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Cond_Load36680ARR1(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Cond_Load36680ARR1(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965)
JMP38544(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965) → Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965)
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR2(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR2(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR2(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR2(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965)
Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965 + -1)
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR3(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Load36680ARR3(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Cond_Load36680ARR3(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Cond_Load36680ARR3(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965 + -1)
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR5(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR5(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR5(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR5(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → JMP38544(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965)
The set Q consists of the following terms:
Load36680(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP38544(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc38465(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(23) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

(24) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean


The following domains are used:

Boolean, Integer


The ITRS R consists of the following rules:
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR1(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Load36680ARR1(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Cond_Load36680ARR1(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Cond_Load36680ARR1(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965)
JMP38544(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965) → Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965)
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR2(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR2(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR2(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR2(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965)
Inc38465(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965 + -1)
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR3(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Load36680ARR3(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Cond_Load36680ARR3(i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
Cond_Load36680ARR3(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965 + -1)
Load36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → Load36680ARR5(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Load36680ARR5(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → Cond_Load36680ARR5(i20728 > 0 && i19951 > 0 && i19951 < i2 && i19965 > 0 && i19951 + 1 > 0, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
Cond_Load36680ARR5(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → JMP38544(java.lang.Object(ARRAY(i2, a46901data)), i19951 + 1, i19965)

The integer pair graph contains the following rules and edges:
(0): LOAD36680(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0]) → LOAD36680ARR1(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])
(1): LOAD36680ARR1(java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1]) → COND_LOAD36680ARR1(i19951[1] > 0 && i19951[1] < i2[1] && i19965[1] > 0 && i19951[1] + 1 > 0, java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])
(2): COND_LOAD36680ARR1(TRUE, java.lang.Object(ARRAY(i2[2], a46901data[2])), i19951[2], i19965[2]) → INC38465(java.lang.Object(ARRAY(i2[2], a46901data[2])), i19951[2] + 1, i19965[2])
(3): JMP38544'(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3]) → INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])
(4): LOAD36680(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4]) → LOAD36680ARR2(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4], java.lang.Object(java.lang.String(i20728[4], i20433[4], i20435[4], a47776[4])))
(5): LOAD36680ARR2(java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5]))) → COND_LOAD36680ARR2(i20728[5] > 0 && i19951[5] > 0 && i19951[5] < i2[5] && i19965[5] > 0 && i19951[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))
(6): COND_LOAD36680ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a46901data[6])), i19951[6], i19965[6], java.lang.Object(java.lang.String(i20728[6], i20433[6], i20435[6], a47776[6]))) → INC38465(java.lang.Object(ARRAY(i2[6], a46901data[6])), i19951[6] + 1, i19965[6])
(7): INC38465(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], i19965[7]) → LOAD36680(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], i19965[7] + -1)
(8): LOAD36680(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8]) → LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])
(9): LOAD36680ARR3(java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9]) → COND_LOAD36680ARR3(i19951[9] > 0 && i19951[9] < i2[9] && i19965[9] > 0 && i19951[9] + 1 > 0, java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])
(10): COND_LOAD36680ARR3(TRUE, java.lang.Object(ARRAY(i2[10], a46901data[10])), i19951[10], i19965[10]) → LOAD36680(java.lang.Object(ARRAY(i2[10], a46901data[10])), i19951[10] + 1, i19965[10] + -1)
(11): LOAD36680(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11]) → LOAD36680ARR5(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11], java.lang.Object(java.lang.String(i20728[11], i20433[11], i20435[11], a47776[11])))
(12): LOAD36680ARR5(java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12]))) → COND_LOAD36680ARR5(i20728[12] > 0 && i19951[12] > 0 && i19951[12] < i2[12] && i19965[12] > 0 && i19951[12] + 1 > 0, java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))
(13): COND_LOAD36680ARR5(TRUE, java.lang.Object(ARRAY(i2[13], a46901data[13])), i19951[13], i19965[13], java.lang.Object(java.lang.String(i20728[13], i20433[13], i20435[13], a47776[13]))) → JMP38544'(java.lang.Object(ARRAY(i2[13], a46901data[13])), i19951[13] + 1, i19965[13])

(0) -> (1), if ((i19965[0] →* i19965[1])∧(java.lang.Object(ARRAY(i2[0], a46901data[0])) →* java.lang.Object(ARRAY(i2[1], a46901data[1])))∧(i19951[0] →* i19951[1]))


(1) -> (2), if ((i19951[1] →* i19951[2])∧(i19965[1] →* i19965[2])∧(i19951[1] > 0 && i19951[1] < i2[1] && i19965[1] > 0 && i19951[1] + 1 > 0 →* TRUE)∧(java.lang.Object(ARRAY(i2[1], a46901data[1])) →* java.lang.Object(ARRAY(i2[2], a46901data[2]))))


(2) -> (7), if ((java.lang.Object(ARRAY(i2[2], a46901data[2])) →* java.lang.Object(ARRAY(i2[7], a46901data[7])))∧(i19965[2] →* i19965[7])∧(i19951[2] + 1 →* i20183[7]))


(3) -> (7), if ((i20183[3] →* i20183[7])∧(i19965[3] →* i19965[7])∧(java.lang.Object(ARRAY(i2[3], a46901data[3])) →* java.lang.Object(ARRAY(i2[7], a46901data[7]))))


(4) -> (5), if ((java.lang.Object(ARRAY(i2[4], a46901data[4])) →* java.lang.Object(ARRAY(i2[5], a46901data[5])))∧(i19965[4] →* i19965[5])∧(i19951[4] →* i19951[5])∧(java.lang.Object(java.lang.String(i20728[4], i20433[4], i20435[4], a47776[4])) →* java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5]))))


(5) -> (6), if ((java.lang.Object(ARRAY(i2[5], a46901data[5])) →* java.lang.Object(ARRAY(i2[6], a46901data[6])))∧(i19965[5] →* i19965[6])∧(i19951[5] →* i19951[6])∧(i20728[5] > 0 && i19951[5] > 0 && i19951[5] < i2[5] && i19965[5] > 0 && i19951[5] + 1 > 0 →* TRUE)∧(java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])) →* java.lang.Object(java.lang.String(i20728[6], i20433[6], i20435[6], a47776[6]))))


(6) -> (7), if ((i19951[6] + 1 →* i20183[7])∧(i19965[6] →* i19965[7])∧(java.lang.Object(ARRAY(i2[6], a46901data[6])) →* java.lang.Object(ARRAY(i2[7], a46901data[7]))))


(7) -> (0), if ((java.lang.Object(ARRAY(i2[7], a46901data[7])) →* java.lang.Object(ARRAY(i2[0], a46901data[0])))∧(i20183[7] →* i19951[0])∧(i19965[7] + -1 →* i19965[0]))


(7) -> (4), if ((i19965[7] + -1 →* i19965[4])∧(i20183[7] →* i19951[4])∧(java.lang.Object(ARRAY(i2[7], a46901data[7])) →* java.lang.Object(ARRAY(i2[4], a46901data[4]))))


(7) -> (8), if ((i19965[7] + -1 →* i19965[8])∧(java.lang.Object(ARRAY(i2[7], a46901data[7])) →* java.lang.Object(ARRAY(i2[8], a46901data[8])))∧(i20183[7] →* i19951[8]))


(7) -> (11), if ((i19965[7] + -1 →* i19965[11])∧(i20183[7] →* i19951[11])∧(java.lang.Object(ARRAY(i2[7], a46901data[7])) →* java.lang.Object(ARRAY(i2[11], a46901data[11]))))


(8) -> (9), if ((i19965[8] →* i19965[9])∧(i19951[8] →* i19951[9])∧(java.lang.Object(ARRAY(i2[8], a46901data[8])) →* java.lang.Object(ARRAY(i2[9], a46901data[9]))))


(9) -> (10), if ((i19951[9] > 0 && i19951[9] < i2[9] && i19965[9] > 0 && i19951[9] + 1 > 0 →* TRUE)∧(i19951[9] →* i19951[10])∧(java.lang.Object(ARRAY(i2[9], a46901data[9])) →* java.lang.Object(ARRAY(i2[10], a46901data[10])))∧(i19965[9] →* i19965[10]))


(10) -> (0), if ((java.lang.Object(ARRAY(i2[10], a46901data[10])) →* java.lang.Object(ARRAY(i2[0], a46901data[0])))∧(i19951[10] + 1 →* i19951[0])∧(i19965[10] + -1 →* i19965[0]))


(10) -> (4), if ((i19965[10] + -1 →* i19965[4])∧(java.lang.Object(ARRAY(i2[10], a46901data[10])) →* java.lang.Object(ARRAY(i2[4], a46901data[4])))∧(i19951[10] + 1 →* i19951[4]))


(10) -> (8), if ((i19951[10] + 1 →* i19951[8])∧(i19965[10] + -1 →* i19965[8])∧(java.lang.Object(ARRAY(i2[10], a46901data[10])) →* java.lang.Object(ARRAY(i2[8], a46901data[8]))))


(10) -> (11), if ((i19965[10] + -1 →* i19965[11])∧(java.lang.Object(ARRAY(i2[10], a46901data[10])) →* java.lang.Object(ARRAY(i2[11], a46901data[11])))∧(i19951[10] + 1 →* i19951[11]))


(11) -> (12), if ((i19965[11] →* i19965[12])∧(java.lang.Object(ARRAY(i2[11], a46901data[11])) →* java.lang.Object(ARRAY(i2[12], a46901data[12])))∧(i19951[11] →* i19951[12])∧(java.lang.Object(java.lang.String(i20728[11], i20433[11], i20435[11], a47776[11])) →* java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12]))))


(12) -> (13), if ((i19965[12] →* i19965[13])∧(java.lang.Object(ARRAY(i2[12], a46901data[12])) →* java.lang.Object(ARRAY(i2[13], a46901data[13])))∧(i20728[12] > 0 && i19951[12] > 0 && i19951[12] < i2[12] && i19965[12] > 0 && i19951[12] + 1 > 0 →* TRUE)∧(java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])) →* java.lang.Object(java.lang.String(i20728[13], i20433[13], i20435[13], a47776[13])))∧(i19951[12] →* i19951[13]))


(13) -> (3), if ((i19951[13] + 1 →* i20183[3])∧(java.lang.Object(ARRAY(i2[13], a46901data[13])) →* java.lang.Object(ARRAY(i2[3], a46901data[3])))∧(i19965[13] →* i19965[3]))



The set Q consists of the following terms:
Load36680(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP38544(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc38465(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(25) 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.

(26) 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): LOAD36680(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0]) → LOAD36680ARR1(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])
(1): LOAD36680ARR1(java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1]) → COND_LOAD36680ARR1(i19951[1] > 0 && i19951[1] < i2[1] && i19965[1] > 0 && i19951[1] + 1 > 0, java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])
(2): COND_LOAD36680ARR1(TRUE, java.lang.Object(ARRAY(i2[2], a46901data[2])), i19951[2], i19965[2]) → INC38465(java.lang.Object(ARRAY(i2[2], a46901data[2])), i19951[2] + 1, i19965[2])
(3): JMP38544'(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3]) → INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])
(4): LOAD36680(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4]) → LOAD36680ARR2(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4], java.lang.Object(java.lang.String(i20728[4], i20433[4], i20435[4], a47776[4])))
(5): LOAD36680ARR2(java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5]))) → COND_LOAD36680ARR2(i20728[5] > 0 && i19951[5] > 0 && i19951[5] < i2[5] && i19965[5] > 0 && i19951[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))
(6): COND_LOAD36680ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a46901data[6])), i19951[6], i19965[6], java.lang.Object(java.lang.String(i20728[6], i20433[6], i20435[6], a47776[6]))) → INC38465(java.lang.Object(ARRAY(i2[6], a46901data[6])), i19951[6] + 1, i19965[6])
(7): INC38465(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], i19965[7]) → LOAD36680(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], i19965[7] + -1)
(8): LOAD36680(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8]) → LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])
(9): LOAD36680ARR3(java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9]) → COND_LOAD36680ARR3(i19951[9] > 0 && i19951[9] < i2[9] && i19965[9] > 0 && i19951[9] + 1 > 0, java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])
(10): COND_LOAD36680ARR3(TRUE, java.lang.Object(ARRAY(i2[10], a46901data[10])), i19951[10], i19965[10]) → LOAD36680(java.lang.Object(ARRAY(i2[10], a46901data[10])), i19951[10] + 1, i19965[10] + -1)
(11): LOAD36680(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11]) → LOAD36680ARR5(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11], java.lang.Object(java.lang.String(i20728[11], i20433[11], i20435[11], a47776[11])))
(12): LOAD36680ARR5(java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12]))) → COND_LOAD36680ARR5(i20728[12] > 0 && i19951[12] > 0 && i19951[12] < i2[12] && i19965[12] > 0 && i19951[12] + 1 > 0, java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))
(13): COND_LOAD36680ARR5(TRUE, java.lang.Object(ARRAY(i2[13], a46901data[13])), i19951[13], i19965[13], java.lang.Object(java.lang.String(i20728[13], i20433[13], i20435[13], a47776[13]))) → JMP38544'(java.lang.Object(ARRAY(i2[13], a46901data[13])), i19951[13] + 1, i19965[13])

(0) -> (1), if ((i19965[0] →* i19965[1])∧(java.lang.Object(ARRAY(i2[0], a46901data[0])) →* java.lang.Object(ARRAY(i2[1], a46901data[1])))∧(i19951[0] →* i19951[1]))


(1) -> (2), if ((i19951[1] →* i19951[2])∧(i19965[1] →* i19965[2])∧(i19951[1] > 0 && i19951[1] < i2[1] && i19965[1] > 0 && i19951[1] + 1 > 0 →* TRUE)∧(java.lang.Object(ARRAY(i2[1], a46901data[1])) →* java.lang.Object(ARRAY(i2[2], a46901data[2]))))


(2) -> (7), if ((java.lang.Object(ARRAY(i2[2], a46901data[2])) →* java.lang.Object(ARRAY(i2[7], a46901data[7])))∧(i19965[2] →* i19965[7])∧(i19951[2] + 1 →* i20183[7]))


(3) -> (7), if ((i20183[3] →* i20183[7])∧(i19965[3] →* i19965[7])∧(java.lang.Object(ARRAY(i2[3], a46901data[3])) →* java.lang.Object(ARRAY(i2[7], a46901data[7]))))


(4) -> (5), if ((java.lang.Object(ARRAY(i2[4], a46901data[4])) →* java.lang.Object(ARRAY(i2[5], a46901data[5])))∧(i19965[4] →* i19965[5])∧(i19951[4] →* i19951[5])∧(java.lang.Object(java.lang.String(i20728[4], i20433[4], i20435[4], a47776[4])) →* java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5]))))


(5) -> (6), if ((java.lang.Object(ARRAY(i2[5], a46901data[5])) →* java.lang.Object(ARRAY(i2[6], a46901data[6])))∧(i19965[5] →* i19965[6])∧(i19951[5] →* i19951[6])∧(i20728[5] > 0 && i19951[5] > 0 && i19951[5] < i2[5] && i19965[5] > 0 && i19951[5] + 1 > 0 →* TRUE)∧(java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])) →* java.lang.Object(java.lang.String(i20728[6], i20433[6], i20435[6], a47776[6]))))


(6) -> (7), if ((i19951[6] + 1 →* i20183[7])∧(i19965[6] →* i19965[7])∧(java.lang.Object(ARRAY(i2[6], a46901data[6])) →* java.lang.Object(ARRAY(i2[7], a46901data[7]))))


(7) -> (0), if ((java.lang.Object(ARRAY(i2[7], a46901data[7])) →* java.lang.Object(ARRAY(i2[0], a46901data[0])))∧(i20183[7] →* i19951[0])∧(i19965[7] + -1 →* i19965[0]))


(7) -> (4), if ((i19965[7] + -1 →* i19965[4])∧(i20183[7] →* i19951[4])∧(java.lang.Object(ARRAY(i2[7], a46901data[7])) →* java.lang.Object(ARRAY(i2[4], a46901data[4]))))


(7) -> (8), if ((i19965[7] + -1 →* i19965[8])∧(java.lang.Object(ARRAY(i2[7], a46901data[7])) →* java.lang.Object(ARRAY(i2[8], a46901data[8])))∧(i20183[7] →* i19951[8]))


(7) -> (11), if ((i19965[7] + -1 →* i19965[11])∧(i20183[7] →* i19951[11])∧(java.lang.Object(ARRAY(i2[7], a46901data[7])) →* java.lang.Object(ARRAY(i2[11], a46901data[11]))))


(8) -> (9), if ((i19965[8] →* i19965[9])∧(i19951[8] →* i19951[9])∧(java.lang.Object(ARRAY(i2[8], a46901data[8])) →* java.lang.Object(ARRAY(i2[9], a46901data[9]))))


(9) -> (10), if ((i19951[9] > 0 && i19951[9] < i2[9] && i19965[9] > 0 && i19951[9] + 1 > 0 →* TRUE)∧(i19951[9] →* i19951[10])∧(java.lang.Object(ARRAY(i2[9], a46901data[9])) →* java.lang.Object(ARRAY(i2[10], a46901data[10])))∧(i19965[9] →* i19965[10]))


(10) -> (0), if ((java.lang.Object(ARRAY(i2[10], a46901data[10])) →* java.lang.Object(ARRAY(i2[0], a46901data[0])))∧(i19951[10] + 1 →* i19951[0])∧(i19965[10] + -1 →* i19965[0]))


(10) -> (4), if ((i19965[10] + -1 →* i19965[4])∧(java.lang.Object(ARRAY(i2[10], a46901data[10])) →* java.lang.Object(ARRAY(i2[4], a46901data[4])))∧(i19951[10] + 1 →* i19951[4]))


(10) -> (8), if ((i19951[10] + 1 →* i19951[8])∧(i19965[10] + -1 →* i19965[8])∧(java.lang.Object(ARRAY(i2[10], a46901data[10])) →* java.lang.Object(ARRAY(i2[8], a46901data[8]))))


(10) -> (11), if ((i19965[10] + -1 →* i19965[11])∧(java.lang.Object(ARRAY(i2[10], a46901data[10])) →* java.lang.Object(ARRAY(i2[11], a46901data[11])))∧(i19951[10] + 1 →* i19951[11]))


(11) -> (12), if ((i19965[11] →* i19965[12])∧(java.lang.Object(ARRAY(i2[11], a46901data[11])) →* java.lang.Object(ARRAY(i2[12], a46901data[12])))∧(i19951[11] →* i19951[12])∧(java.lang.Object(java.lang.String(i20728[11], i20433[11], i20435[11], a47776[11])) →* java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12]))))


(12) -> (13), if ((i19965[12] →* i19965[13])∧(java.lang.Object(ARRAY(i2[12], a46901data[12])) →* java.lang.Object(ARRAY(i2[13], a46901data[13])))∧(i20728[12] > 0 && i19951[12] > 0 && i19951[12] < i2[12] && i19965[12] > 0 && i19951[12] + 1 > 0 →* TRUE)∧(java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])) →* java.lang.Object(java.lang.String(i20728[13], i20433[13], i20435[13], a47776[13])))∧(i19951[12] →* i19951[13]))


(13) -> (3), if ((i19951[13] + 1 →* i20183[3])∧(java.lang.Object(ARRAY(i2[13], a46901data[13])) →* java.lang.Object(ARRAY(i2[3], a46901data[3])))∧(i19965[13] →* i19965[3]))



The set Q consists of the following terms:
Load36680(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP38544(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc38465(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(27) ItpfGraphProof (EQUIVALENT transformation)

Applied rule ItpfICap [ICap]

(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


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD36680(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0]) → LOAD36680ARR1(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])
(1): LOAD36680ARR1(java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1]) → COND_LOAD36680ARR1(i19951[1] > 0 && i19951[1] < i2[1] && i19965[1] > 0 && i19951[1] + 1 > 0, java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])
(2): COND_LOAD36680ARR1(TRUE, java.lang.Object(ARRAY(i2[2], a46901data[2])), i19951[2], i19965[2]) → INC38465(java.lang.Object(ARRAY(i2[2], a46901data[2])), i19951[2] + 1, i19965[2])
(3): JMP38544'(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3]) → INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])
(4): LOAD36680(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4]) → LOAD36680ARR2(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4], java.lang.Object(java.lang.String(i20728[4], i20433[4], i20435[4], a47776[4])))
(5): LOAD36680ARR2(java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5]))) → COND_LOAD36680ARR2(i20728[5] > 0 && i19951[5] > 0 && i19951[5] < i2[5] && i19965[5] > 0 && i19951[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))
(6): COND_LOAD36680ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a46901data[6])), i19951[6], i19965[6], java.lang.Object(java.lang.String(i20728[6], i20433[6], i20435[6], a47776[6]))) → INC38465(java.lang.Object(ARRAY(i2[6], a46901data[6])), i19951[6] + 1, i19965[6])
(7): INC38465(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], i19965[7]) → LOAD36680(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], i19965[7] + -1)
(8): LOAD36680(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8]) → LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])
(9): LOAD36680ARR3(java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9]) → COND_LOAD36680ARR3(i19951[9] > 0 && i19951[9] < i2[9] && i19965[9] > 0 && i19951[9] + 1 > 0, java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])
(10): COND_LOAD36680ARR3(TRUE, java.lang.Object(ARRAY(i2[10], a46901data[10])), i19951[10], i19965[10]) → LOAD36680(java.lang.Object(ARRAY(i2[10], a46901data[10])), i19951[10] + 1, i19965[10] + -1)
(11): LOAD36680(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11]) → LOAD36680ARR5(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11], java.lang.Object(java.lang.String(i20728[11], i20433[11], i20435[11], a47776[11])))
(12): LOAD36680ARR5(java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12]))) → COND_LOAD36680ARR5(i20728[12] > 0 && i19951[12] > 0 && i19951[12] < i2[12] && i19965[12] > 0 && i19951[12] + 1 > 0, java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))
(13): COND_LOAD36680ARR5(TRUE, java.lang.Object(ARRAY(i2[13], a46901data[13])), i19951[13], i19965[13], java.lang.Object(java.lang.String(i20728[13], i20433[13], i20435[13], a47776[13]))) → JMP38544'(java.lang.Object(ARRAY(i2[13], a46901data[13])), i19951[13] + 1, i19965[13])

(0) -> (1), if ((i19965[0] →* i19965[1])∧((i2[0] →* i2[1])∧(a46901data[0] →* a46901data[1]))∧(i19951[0] →* i19951[1]))


(1) -> (2), if ((i19951[1] →* i19951[2])∧(i19965[1] →* i19965[2])∧(i19951[1] > 0 && i19951[1] < i2[1] && i19965[1] > 0 && i19951[1] + 1 > 0 →* TRUE)∧((i2[1] →* i2[2])∧(a46901data[1] →* a46901data[2])))


(2) -> (7), if (((i2[2] →* i2[7])∧(a46901data[2] →* a46901data[7]))∧(i19965[2] →* i19965[7])∧(i19951[2] + 1 →* i20183[7]))


(3) -> (7), if ((i20183[3] →* i20183[7])∧(i19965[3] →* i19965[7])∧((i2[3] →* i2[7])∧(a46901data[3] →* a46901data[7])))


(4) -> (5), if (((i2[4] →* i2[5])∧(a46901data[4] →* a46901data[5]))∧(i19965[4] →* i19965[5])∧(i19951[4] →* i19951[5])∧((i20728[4] →* i20728[5])∧(i20433[4] →* i20433[5])∧(i20435[4] →* i20435[5])∧(a47776[4] →* a47776[5])))


(5) -> (6), if (((i2[5] →* i2[6])∧(a46901data[5] →* a46901data[6]))∧(i19965[5] →* i19965[6])∧(i19951[5] →* i19951[6])∧(i20728[5] > 0 && i19951[5] > 0 && i19951[5] < i2[5] && i19965[5] > 0 && i19951[5] + 1 > 0 →* TRUE)∧((i20728[5] →* i20728[6])∧(i20433[5] →* i20433[6])∧(i20435[5] →* i20435[6])∧(a47776[5] →* a47776[6])))


(6) -> (7), if ((i19951[6] + 1 →* i20183[7])∧(i19965[6] →* i19965[7])∧((i2[6] →* i2[7])∧(a46901data[6] →* a46901data[7])))


(7) -> (0), if (((i2[7] →* i2[0])∧(a46901data[7] →* a46901data[0]))∧(i20183[7] →* i19951[0])∧(i19965[7] + -1 →* i19965[0]))


(7) -> (4), if ((i19965[7] + -1 →* i19965[4])∧(i20183[7] →* i19951[4])∧((i2[7] →* i2[4])∧(a46901data[7] →* a46901data[4])))


(7) -> (8), if ((i19965[7] + -1 →* i19965[8])∧((i2[7] →* i2[8])∧(a46901data[7] →* a46901data[8]))∧(i20183[7] →* i19951[8]))


(7) -> (11), if ((i19965[7] + -1 →* i19965[11])∧(i20183[7] →* i19951[11])∧((i2[7] →* i2[11])∧(a46901data[7] →* a46901data[11])))


(8) -> (9), if ((i19965[8] →* i19965[9])∧(i19951[8] →* i19951[9])∧((i2[8] →* i2[9])∧(a46901data[8] →* a46901data[9])))


(9) -> (10), if ((i19951[9] > 0 && i19951[9] < i2[9] && i19965[9] > 0 && i19951[9] + 1 > 0 →* TRUE)∧(i19951[9] →* i19951[10])∧((i2[9] →* i2[10])∧(a46901data[9] →* a46901data[10]))∧(i19965[9] →* i19965[10]))


(10) -> (0), if (((i2[10] →* i2[0])∧(a46901data[10] →* a46901data[0]))∧(i19951[10] + 1 →* i19951[0])∧(i19965[10] + -1 →* i19965[0]))


(10) -> (4), if ((i19965[10] + -1 →* i19965[4])∧((i2[10] →* i2[4])∧(a46901data[10] →* a46901data[4]))∧(i19951[10] + 1 →* i19951[4]))


(10) -> (8), if ((i19951[10] + 1 →* i19951[8])∧(i19965[10] + -1 →* i19965[8])∧((i2[10] →* i2[8])∧(a46901data[10] →* a46901data[8])))


(10) -> (11), if ((i19965[10] + -1 →* i19965[11])∧((i2[10] →* i2[11])∧(a46901data[10] →* a46901data[11]))∧(i19951[10] + 1 →* i19951[11]))


(11) -> (12), if ((i19965[11] →* i19965[12])∧((i2[11] →* i2[12])∧(a46901data[11] →* a46901data[12]))∧(i19951[11] →* i19951[12])∧((i20728[11] →* i20728[12])∧(i20433[11] →* i20433[12])∧(i20435[11] →* i20435[12])∧(a47776[11] →* a47776[12])))


(12) -> (13), if ((i19965[12] →* i19965[13])∧((i2[12] →* i2[13])∧(a46901data[12] →* a46901data[13]))∧(i20728[12] > 0 && i19951[12] > 0 && i19951[12] < i2[12] && i19965[12] > 0 && i19951[12] + 1 > 0 →* TRUE)∧((i20728[12] →* i20728[13])∧(i20433[12] →* i20433[13])∧(i20435[12] →* i20435[13])∧(a47776[12] →* a47776[13]))∧(i19951[12] →* i19951[13]))


(13) -> (3), if ((i19951[13] + 1 →* i20183[3])∧((i2[13] →* i2[3])∧(a46901data[13] →* a46901data[3]))∧(i19965[13] →* i19965[3]))



The set Q consists of the following terms:
Load36680(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP38544(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc38465(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(29) 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 LOAD36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → LOAD36680ARR1(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) the following chains were created:
  • We consider the chain LOAD36680(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0]) → LOAD36680ARR1(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0]), LOAD36680ARR1(java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1]) → COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1]) which results in the following constraint:

    (1)    (i19965[0]=i19965[1]∧i2[0]=i2[1]∧a46901data[0]=a46901data[1]∧i19951[0]=i19951[1] ⇒ LOAD36680(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])≥NonInfC∧LOAD36680(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])≥LOAD36680ARR1(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])∧(UIncreasing(LOAD36680ARR1(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])), ≥))



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

    (2)    (LOAD36680(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])≥NonInfC∧LOAD36680(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])≥LOAD36680ARR1(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])∧(UIncreasing(LOAD36680ARR1(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])), ≥))



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

    (3)    ((UIncreasing(LOAD36680ARR1(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])), ≥)∧[1 + (-1)bso_25] ≥ 0)



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

    (4)    ((UIncreasing(LOAD36680ARR1(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])), ≥)∧[1 + (-1)bso_25] ≥ 0)



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

    (5)    ((UIncreasing(LOAD36680ARR1(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])), ≥)∧[1 + (-1)bso_25] ≥ 0)



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

    (6)    ((UIncreasing(LOAD36680ARR1(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_25] ≥ 0)







For Pair LOAD36680ARR1(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → COND_LOAD36680ARR1(&&(&&(&&(>(i19951, 0), <(i19951, i2)), >(i19965, 0)), >(+(i19951, 1), 0)), java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) the following chains were created:
  • We consider the chain LOAD36680ARR1(java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1]) → COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1]), COND_LOAD36680ARR1(TRUE, java.lang.Object(ARRAY(i2[2], a46901data[2])), i19951[2], i19965[2]) → INC38465(java.lang.Object(ARRAY(i2[2], a46901data[2])), +(i19951[2], 1), i19965[2]) which results in the following constraint:

    (7)    (i19951[1]=i19951[2]∧i19965[1]=i19965[2]∧&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0))=TRUE∧i2[1]=i2[2]∧a46901data[1]=a46901data[2] ⇒ LOAD36680ARR1(java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])≥NonInfC∧LOAD36680ARR1(java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])≥COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])∧(UIncreasing(COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])), ≥))



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

    (8)    (>(+(i19951[1], 1), 0)=TRUE∧>(i19965[1], 0)=TRUE∧>(i19951[1], 0)=TRUE∧<(i19951[1], i2[1])=TRUE ⇒ LOAD36680ARR1(java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])≥NonInfC∧LOAD36680ARR1(java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])≥COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])∧(UIncreasing(COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])), ≥))



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

    (9)    (i19951[1] ≥ 0∧i19965[1] + [-1] ≥ 0∧i19951[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i19951[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])), ≥)∧[bni_26 + (-1)Bound*bni_26] + [(2)bni_26]i19965[1] + [bni_26]i2[1] + [(-1)bni_26]i19951[1] ≥ 0∧[1 + (-1)bso_27] ≥ 0)



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

    (10)    (i19951[1] ≥ 0∧i19965[1] + [-1] ≥ 0∧i19951[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i19951[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])), ≥)∧[bni_26 + (-1)Bound*bni_26] + [(2)bni_26]i19965[1] + [bni_26]i2[1] + [(-1)bni_26]i19951[1] ≥ 0∧[1 + (-1)bso_27] ≥ 0)



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

    (11)    (i19951[1] ≥ 0∧i19965[1] + [-1] ≥ 0∧i19951[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i19951[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])), ≥)∧[bni_26 + (-1)Bound*bni_26] + [(2)bni_26]i19965[1] + [bni_26]i2[1] + [(-1)bni_26]i19951[1] ≥ 0∧[1 + (-1)bso_27] ≥ 0)



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

    (12)    (i19951[1] ≥ 0∧i19965[1] + [-1] ≥ 0∧i19951[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i19951[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])), ≥)∧0 = 0∧[bni_26 + (-1)Bound*bni_26] + [(2)bni_26]i19965[1] + [bni_26]i2[1] + [(-1)bni_26]i19951[1] ≥ 0∧0 = 0∧[1 + (-1)bso_27] ≥ 0)



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

    (13)    ([1] + i19951[1] ≥ 0∧i19965[1] + [-1] ≥ 0∧i19951[1] ≥ 0∧i2[1] + [-2] + [-1]i19951[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])), ≥)∧0 = 0∧[(-1)Bound*bni_26] + [(2)bni_26]i19965[1] + [bni_26]i2[1] + [(-1)bni_26]i19951[1] ≥ 0∧0 = 0∧[1 + (-1)bso_27] ≥ 0)



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

    (14)    ([1] + i19951[1] ≥ 0∧i19965[1] ≥ 0∧i19951[1] ≥ 0∧i2[1] + [-2] + [-1]i19951[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])), ≥)∧0 = 0∧[(2)bni_26 + (-1)Bound*bni_26] + [(2)bni_26]i19965[1] + [bni_26]i2[1] + [(-1)bni_26]i19951[1] ≥ 0∧0 = 0∧[1 + (-1)bso_27] ≥ 0)



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

    (15)    ([1] + i19951[1] ≥ 0∧i19965[1] ≥ 0∧i19951[1] ≥ 0∧i2[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])), ≥)∧0 = 0∧[(4)bni_26 + (-1)Bound*bni_26] + [(2)bni_26]i19965[1] + [bni_26]i2[1] ≥ 0∧0 = 0∧[1 + (-1)bso_27] ≥ 0)







For Pair COND_LOAD36680ARR1(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → INC38465(java.lang.Object(ARRAY(i2, a46901data)), +(i19951, 1), i19965) the following chains were created:
  • We consider the chain COND_LOAD36680ARR1(TRUE, java.lang.Object(ARRAY(i2[2], a46901data[2])), i19951[2], i19965[2]) → INC38465(java.lang.Object(ARRAY(i2[2], a46901data[2])), +(i19951[2], 1), i19965[2]) which results in the following constraint:

    (16)    (COND_LOAD36680ARR1(TRUE, java.lang.Object(ARRAY(i2[2], a46901data[2])), i19951[2], i19965[2])≥NonInfC∧COND_LOAD36680ARR1(TRUE, java.lang.Object(ARRAY(i2[2], a46901data[2])), i19951[2], i19965[2])≥INC38465(java.lang.Object(ARRAY(i2[2], a46901data[2])), +(i19951[2], 1), i19965[2])∧(UIncreasing(INC38465(java.lang.Object(ARRAY(i2[2], a46901data[2])), +(i19951[2], 1), i19965[2])), ≥))



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

    (17)    ((UIncreasing(INC38465(java.lang.Object(ARRAY(i2[2], a46901data[2])), +(i19951[2], 1), i19965[2])), ≥)∧[1 + (-1)bso_29] ≥ 0)



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

    (18)    ((UIncreasing(INC38465(java.lang.Object(ARRAY(i2[2], a46901data[2])), +(i19951[2], 1), i19965[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(INC38465(java.lang.Object(ARRAY(i2[2], a46901data[2])), +(i19951[2], 1), i19965[2])), ≥)∧[1 + (-1)bso_29] ≥ 0)



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

    (20)    ((UIncreasing(INC38465(java.lang.Object(ARRAY(i2[2], a46901data[2])), +(i19951[2], 1), i19965[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_29] ≥ 0)







For Pair JMP38544'(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965) → INC38465(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965) the following chains were created:
  • We consider the chain JMP38544'(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3]) → INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3]), INC38465(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], i19965[7]) → LOAD36680(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], +(i19965[7], -1)) which results in the following constraint:

    (21)    (i20183[3]=i20183[7]∧i19965[3]=i19965[7]∧i2[3]=i2[7]∧a46901data[3]=a46901data[7] ⇒ JMP38544'(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])≥NonInfC∧JMP38544'(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])≥INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])∧(UIncreasing(INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])), ≥))



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

    (22)    (JMP38544'(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])≥NonInfC∧JMP38544'(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])≥INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])∧(UIncreasing(INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])), ≥))



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

    (23)    ((UIncreasing(INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])), ≥)∧[(-1)bso_31] ≥ 0)



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

    (24)    ((UIncreasing(INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])), ≥)∧[(-1)bso_31] ≥ 0)



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

    (25)    ((UIncreasing(INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])), ≥)∧[(-1)bso_31] ≥ 0)



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

    (26)    ((UIncreasing(INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)







For Pair LOAD36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → LOAD36680ARR2(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) the following chains were created:
  • We consider the chain LOAD36680(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4]) → LOAD36680ARR2(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4], java.lang.Object(java.lang.String(i20728[4], i20433[4], i20435[4], a47776[4]))) which results in the following constraint:

    (27)    (LOAD36680(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4])≥NonInfC∧LOAD36680(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4])≥LOAD36680ARR2(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4], java.lang.Object(java.lang.String(i20728[4], i20433[4], i20435[4], a47776[4])))∧(UIncreasing(LOAD36680ARR2(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4], java.lang.Object(java.lang.String(i20728[4], i20433[4], i20435[4], a47776[4])))), ≥))



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

    (28)    ((UIncreasing(LOAD36680ARR2(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4], java.lang.Object(java.lang.String(i20728[4], i20433[4], i20435[4], a47776[4])))), ≥)∧[1 + (-1)bso_33] ≥ 0)



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

    (29)    ((UIncreasing(LOAD36680ARR2(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4], java.lang.Object(java.lang.String(i20728[4], i20433[4], i20435[4], a47776[4])))), ≥)∧[1 + (-1)bso_33] ≥ 0)



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

    (30)    ((UIncreasing(LOAD36680ARR2(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4], java.lang.Object(java.lang.String(i20728[4], i20433[4], i20435[4], a47776[4])))), ≥)∧[1 + (-1)bso_33] ≥ 0)



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

    (31)    ((UIncreasing(LOAD36680ARR2(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4], java.lang.Object(java.lang.String(i20728[4], i20433[4], i20435[4], a47776[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_33] ≥ 0)







For Pair LOAD36680ARR2(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728, 0), >(i19951, 0)), <(i19951, i2)), >(i19965, 0)), >(+(i19951, 1), 0)), java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) the following chains were created:
  • We consider the chain LOAD36680ARR2(java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5]))) → COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5]))), COND_LOAD36680ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a46901data[6])), i19951[6], i19965[6], java.lang.Object(java.lang.String(i20728[6], i20433[6], i20435[6], a47776[6]))) → INC38465(java.lang.Object(ARRAY(i2[6], a46901data[6])), +(i19951[6], 1), i19965[6]) which results in the following constraint:

    (32)    (i2[5]=i2[6]∧a46901data[5]=a46901data[6]∧i19965[5]=i19965[6]∧i19951[5]=i19951[6]∧&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0))=TRUE∧i20728[5]=i20728[6]∧i20433[5]=i20433[6]∧i20435[5]=i20435[6]∧a47776[5]=a47776[6] ⇒ LOAD36680ARR2(java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))≥NonInfC∧LOAD36680ARR2(java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))≥COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))∧(UIncreasing(COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))), ≥))



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

    (33)    (>(+(i19951[5], 1), 0)=TRUE∧>(i19965[5], 0)=TRUE∧<(i19951[5], i2[5])=TRUE∧>(i20728[5], 0)=TRUE∧>(i19951[5], 0)=TRUE ⇒ LOAD36680ARR2(java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))≥NonInfC∧LOAD36680ARR2(java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))≥COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))∧(UIncreasing(COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))), ≥))



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

    (34)    (i19951[5] ≥ 0∧i19965[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i19951[5] ≥ 0∧i20728[5] + [-1] ≥ 0∧i19951[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))), ≥)∧[bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i19965[5] + [bni_34]i2[5] + [(-1)bni_34]i19951[5] ≥ 0∧[(-1)bso_35] ≥ 0)



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

    (35)    (i19951[5] ≥ 0∧i19965[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i19951[5] ≥ 0∧i20728[5] + [-1] ≥ 0∧i19951[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))), ≥)∧[bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i19965[5] + [bni_34]i2[5] + [(-1)bni_34]i19951[5] ≥ 0∧[(-1)bso_35] ≥ 0)



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

    (36)    (i19951[5] ≥ 0∧i19965[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i19951[5] ≥ 0∧i20728[5] + [-1] ≥ 0∧i19951[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))), ≥)∧[bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i19965[5] + [bni_34]i2[5] + [(-1)bni_34]i19951[5] ≥ 0∧[(-1)bso_35] ≥ 0)



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

    (37)    (i19951[5] ≥ 0∧i19965[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i19951[5] ≥ 0∧i20728[5] + [-1] ≥ 0∧i19951[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i19965[5] + [bni_34]i2[5] + [(-1)bni_34]i19951[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] + i19951[5] ≥ 0∧i19965[5] + [-1] ≥ 0∧i2[5] + [-2] + [-1]i19951[5] ≥ 0∧i20728[5] + [-1] ≥ 0∧i19951[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_34] + [(2)bni_34]i19965[5] + [bni_34]i2[5] + [(-1)bni_34]i19951[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] + i19951[5] ≥ 0∧i19965[5] ≥ 0∧i2[5] + [-2] + [-1]i19951[5] ≥ 0∧i20728[5] + [-1] ≥ 0∧i19951[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(2)bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i19965[5] + [bni_34]i2[5] + [(-1)bni_34]i19951[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] + i19951[5] ≥ 0∧i19965[5] ≥ 0∧i2[5] ≥ 0∧i20728[5] + [-1] ≥ 0∧i19951[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(4)bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i19965[5] + [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] + i19951[5] ≥ 0∧i19965[5] ≥ 0∧i2[5] ≥ 0∧i20728[5] ≥ 0∧i19951[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(4)bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i19965[5] + [bni_34]i2[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)







For Pair COND_LOAD36680ARR2(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → INC38465(java.lang.Object(ARRAY(i2, a46901data)), +(i19951, 1), i19965) the following chains were created:
  • We consider the chain COND_LOAD36680ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a46901data[6])), i19951[6], i19965[6], java.lang.Object(java.lang.String(i20728[6], i20433[6], i20435[6], a47776[6]))) → INC38465(java.lang.Object(ARRAY(i2[6], a46901data[6])), +(i19951[6], 1), i19965[6]) which results in the following constraint:

    (42)    (COND_LOAD36680ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a46901data[6])), i19951[6], i19965[6], java.lang.Object(java.lang.String(i20728[6], i20433[6], i20435[6], a47776[6])))≥NonInfC∧COND_LOAD36680ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a46901data[6])), i19951[6], i19965[6], java.lang.Object(java.lang.String(i20728[6], i20433[6], i20435[6], a47776[6])))≥INC38465(java.lang.Object(ARRAY(i2[6], a46901data[6])), +(i19951[6], 1), i19965[6])∧(UIncreasing(INC38465(java.lang.Object(ARRAY(i2[6], a46901data[6])), +(i19951[6], 1), i19965[6])), ≥))



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

    (43)    ((UIncreasing(INC38465(java.lang.Object(ARRAY(i2[6], a46901data[6])), +(i19951[6], 1), i19965[6])), ≥)∧[2 + (-1)bso_37] ≥ 0)



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

    (44)    ((UIncreasing(INC38465(java.lang.Object(ARRAY(i2[6], a46901data[6])), +(i19951[6], 1), i19965[6])), ≥)∧[2 + (-1)bso_37] ≥ 0)



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

    (45)    ((UIncreasing(INC38465(java.lang.Object(ARRAY(i2[6], a46901data[6])), +(i19951[6], 1), i19965[6])), ≥)∧[2 + (-1)bso_37] ≥ 0)



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

    (46)    ((UIncreasing(INC38465(java.lang.Object(ARRAY(i2[6], a46901data[6])), +(i19951[6], 1), i19965[6])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_37] ≥ 0)







For Pair INC38465(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965) → LOAD36680(java.lang.Object(ARRAY(i2, a46901data)), i20183, +(i19965, -1)) the following chains were created:
  • We consider the chain INC38465(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], i19965[7]) → LOAD36680(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], +(i19965[7], -1)) which results in the following constraint:

    (47)    (INC38465(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], i19965[7])≥NonInfC∧INC38465(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], i19965[7])≥LOAD36680(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], +(i19965[7], -1))∧(UIncreasing(LOAD36680(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], +(i19965[7], -1))), ≥))



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

    (48)    ((UIncreasing(LOAD36680(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], +(i19965[7], -1))), ≥)∧[(-1)bso_39] ≥ 0)



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

    (49)    ((UIncreasing(LOAD36680(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], +(i19965[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(LOAD36680(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], +(i19965[7], -1))), ≥)∧[(-1)bso_39] ≥ 0)



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

    (51)    ((UIncreasing(LOAD36680(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], +(i19965[7], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)







For Pair LOAD36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → LOAD36680ARR3(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) the following chains were created:
  • We consider the chain LOAD36680(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8]) → LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8]), LOAD36680ARR3(java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9]) → COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9]) which results in the following constraint:

    (52)    (i19965[8]=i19965[9]∧i19951[8]=i19951[9]∧i2[8]=i2[9]∧a46901data[8]=a46901data[9] ⇒ LOAD36680(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])≥NonInfC∧LOAD36680(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])≥LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])∧(UIncreasing(LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])), ≥))



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

    (53)    (LOAD36680(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])≥NonInfC∧LOAD36680(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])≥LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])∧(UIncreasing(LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])), ≥))



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

    (54)    ((UIncreasing(LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])), ≥)∧[(-1)bso_41] ≥ 0)



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

    (55)    ((UIncreasing(LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])), ≥)∧[(-1)bso_41] ≥ 0)



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

    (56)    ((UIncreasing(LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])), ≥)∧[(-1)bso_41] ≥ 0)



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

    (57)    ((UIncreasing(LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)







For Pair LOAD36680ARR3(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → COND_LOAD36680ARR3(&&(&&(&&(>(i19951, 0), <(i19951, i2)), >(i19965, 0)), >(+(i19951, 1), 0)), java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) the following chains were created:
  • We consider the chain LOAD36680ARR3(java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9]) → COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9]), COND_LOAD36680ARR3(TRUE, java.lang.Object(ARRAY(i2[10], a46901data[10])), i19951[10], i19965[10]) → LOAD36680(java.lang.Object(ARRAY(i2[10], a46901data[10])), +(i19951[10], 1), +(i19965[10], -1)) which results in the following constraint:

    (58)    (&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0))=TRUE∧i19951[9]=i19951[10]∧i2[9]=i2[10]∧a46901data[9]=a46901data[10]∧i19965[9]=i19965[10] ⇒ LOAD36680ARR3(java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])≥NonInfC∧LOAD36680ARR3(java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])≥COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])∧(UIncreasing(COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])), ≥))



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

    (59)    (>(+(i19951[9], 1), 0)=TRUE∧>(i19965[9], 0)=TRUE∧>(i19951[9], 0)=TRUE∧<(i19951[9], i2[9])=TRUE ⇒ LOAD36680ARR3(java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])≥NonInfC∧LOAD36680ARR3(java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])≥COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])∧(UIncreasing(COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])), ≥))



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

    (60)    (i19951[9] ≥ 0∧i19965[9] + [-1] ≥ 0∧i19951[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i19951[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])), ≥)∧[(2)bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i19965[9] + [(-1)bni_42]i19951[9] + [bni_42]i2[9] ≥ 0∧[2 + (-1)bso_43] ≥ 0)



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

    (61)    (i19951[9] ≥ 0∧i19965[9] + [-1] ≥ 0∧i19951[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i19951[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])), ≥)∧[(2)bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i19965[9] + [(-1)bni_42]i19951[9] + [bni_42]i2[9] ≥ 0∧[2 + (-1)bso_43] ≥ 0)



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

    (62)    (i19951[9] ≥ 0∧i19965[9] + [-1] ≥ 0∧i19951[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i19951[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])), ≥)∧[(2)bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i19965[9] + [(-1)bni_42]i19951[9] + [bni_42]i2[9] ≥ 0∧[2 + (-1)bso_43] ≥ 0)



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

    (63)    (i19951[9] ≥ 0∧i19965[9] + [-1] ≥ 0∧i19951[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i19951[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])), ≥)∧0 = 0∧[(2)bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i19965[9] + [(-1)bni_42]i19951[9] + [bni_42]i2[9] ≥ 0∧0 = 0∧[2 + (-1)bso_43] ≥ 0)



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

    (64)    ([1] + i19951[9] ≥ 0∧i19965[9] + [-1] ≥ 0∧i19951[9] ≥ 0∧i2[9] + [-2] + [-1]i19951[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])), ≥)∧0 = 0∧[bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i19965[9] + [(-1)bni_42]i19951[9] + [bni_42]i2[9] ≥ 0∧0 = 0∧[2 + (-1)bso_43] ≥ 0)



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

    (65)    ([1] + i19951[9] ≥ 0∧i19965[9] ≥ 0∧i19951[9] ≥ 0∧i2[9] + [-2] + [-1]i19951[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])), ≥)∧0 = 0∧[(3)bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i19965[9] + [(-1)bni_42]i19951[9] + [bni_42]i2[9] ≥ 0∧0 = 0∧[2 + (-1)bso_43] ≥ 0)



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

    (66)    ([1] + i19951[9] ≥ 0∧i19965[9] ≥ 0∧i19951[9] ≥ 0∧i2[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])), ≥)∧0 = 0∧[(5)bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i19965[9] + [bni_42]i2[9] ≥ 0∧0 = 0∧[2 + (-1)bso_43] ≥ 0)







For Pair COND_LOAD36680ARR3(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → LOAD36680(java.lang.Object(ARRAY(i2, a46901data)), +(i19951, 1), +(i19965, -1)) the following chains were created:
  • We consider the chain COND_LOAD36680ARR3(TRUE, java.lang.Object(ARRAY(i2[10], a46901data[10])), i19951[10], i19965[10]) → LOAD36680(java.lang.Object(ARRAY(i2[10], a46901data[10])), +(i19951[10], 1), +(i19965[10], -1)) which results in the following constraint:

    (67)    (COND_LOAD36680ARR3(TRUE, java.lang.Object(ARRAY(i2[10], a46901data[10])), i19951[10], i19965[10])≥NonInfC∧COND_LOAD36680ARR3(TRUE, java.lang.Object(ARRAY(i2[10], a46901data[10])), i19951[10], i19965[10])≥LOAD36680(java.lang.Object(ARRAY(i2[10], a46901data[10])), +(i19951[10], 1), +(i19965[10], -1))∧(UIncreasing(LOAD36680(java.lang.Object(ARRAY(i2[10], a46901data[10])), +(i19951[10], 1), +(i19965[10], -1))), ≥))



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

    (68)    ((UIncreasing(LOAD36680(java.lang.Object(ARRAY(i2[10], a46901data[10])), +(i19951[10], 1), +(i19965[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(LOAD36680(java.lang.Object(ARRAY(i2[10], a46901data[10])), +(i19951[10], 1), +(i19965[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(LOAD36680(java.lang.Object(ARRAY(i2[10], a46901data[10])), +(i19951[10], 1), +(i19965[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(LOAD36680(java.lang.Object(ARRAY(i2[10], a46901data[10])), +(i19951[10], 1), +(i19965[10], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_45] ≥ 0)







For Pair LOAD36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → LOAD36680ARR5(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) the following chains were created:
  • We consider the chain LOAD36680(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11]) → LOAD36680ARR5(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11], java.lang.Object(java.lang.String(i20728[11], i20433[11], i20435[11], a47776[11]))) which results in the following constraint:

    (72)    (LOAD36680(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11])≥NonInfC∧LOAD36680(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11])≥LOAD36680ARR5(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11], java.lang.Object(java.lang.String(i20728[11], i20433[11], i20435[11], a47776[11])))∧(UIncreasing(LOAD36680ARR5(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11], java.lang.Object(java.lang.String(i20728[11], i20433[11], i20435[11], a47776[11])))), ≥))



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

    (73)    ((UIncreasing(LOAD36680ARR5(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11], java.lang.Object(java.lang.String(i20728[11], i20433[11], i20435[11], a47776[11])))), ≥)∧[2 + (-1)bso_47] ≥ 0)



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

    (74)    ((UIncreasing(LOAD36680ARR5(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11], java.lang.Object(java.lang.String(i20728[11], i20433[11], i20435[11], a47776[11])))), ≥)∧[2 + (-1)bso_47] ≥ 0)



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

    (75)    ((UIncreasing(LOAD36680ARR5(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11], java.lang.Object(java.lang.String(i20728[11], i20433[11], i20435[11], a47776[11])))), ≥)∧[2 + (-1)bso_47] ≥ 0)



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

    (76)    ((UIncreasing(LOAD36680ARR5(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11], java.lang.Object(java.lang.String(i20728[11], i20433[11], i20435[11], a47776[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_47] ≥ 0)







For Pair LOAD36680ARR5(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728, 0), >(i19951, 0)), <(i19951, i2)), >(i19965, 0)), >(+(i19951, 1), 0)), java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) the following chains were created:
  • We consider the chain LOAD36680ARR5(java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12]))) → COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12]))), COND_LOAD36680ARR5(TRUE, java.lang.Object(ARRAY(i2[13], a46901data[13])), i19951[13], i19965[13], java.lang.Object(java.lang.String(i20728[13], i20433[13], i20435[13], a47776[13]))) → JMP38544'(java.lang.Object(ARRAY(i2[13], a46901data[13])), +(i19951[13], 1), i19965[13]) which results in the following constraint:

    (77)    (i19965[12]=i19965[13]∧i2[12]=i2[13]∧a46901data[12]=a46901data[13]∧&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0))=TRUE∧i20728[12]=i20728[13]∧i20433[12]=i20433[13]∧i20435[12]=i20435[13]∧a47776[12]=a47776[13]∧i19951[12]=i19951[13] ⇒ LOAD36680ARR5(java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))≥NonInfC∧LOAD36680ARR5(java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))≥COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))∧(UIncreasing(COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))), ≥))



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

    (78)    (>(+(i19951[12], 1), 0)=TRUE∧>(i19965[12], 0)=TRUE∧<(i19951[12], i2[12])=TRUE∧>(i20728[12], 0)=TRUE∧>(i19951[12], 0)=TRUE ⇒ LOAD36680ARR5(java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))≥NonInfC∧LOAD36680ARR5(java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))≥COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))∧(UIncreasing(COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))), ≥))



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

    (79)    (i19951[12] ≥ 0∧i19965[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i19951[12] ≥ 0∧i20728[12] + [-1] ≥ 0∧i19951[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))), ≥)∧[(-1)Bound*bni_48] + [(2)bni_48]i19965[12] + [(-1)bni_48]i19951[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)    (i19951[12] ≥ 0∧i19965[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i19951[12] ≥ 0∧i20728[12] + [-1] ≥ 0∧i19951[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))), ≥)∧[(-1)Bound*bni_48] + [(2)bni_48]i19965[12] + [(-1)bni_48]i19951[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)    (i19951[12] ≥ 0∧i19965[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i19951[12] ≥ 0∧i20728[12] + [-1] ≥ 0∧i19951[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))), ≥)∧[(-1)Bound*bni_48] + [(2)bni_48]i19965[12] + [(-1)bni_48]i19951[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)    (i19951[12] ≥ 0∧i19965[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i19951[12] ≥ 0∧i20728[12] + [-1] ≥ 0∧i19951[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_48] + [(2)bni_48]i19965[12] + [(-1)bni_48]i19951[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] + i19951[12] ≥ 0∧i19965[12] + [-1] ≥ 0∧i2[12] + [-2] + [-1]i19951[12] ≥ 0∧i20728[12] + [-1] ≥ 0∧i19951[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_48 + (-1)bni_48] + [(2)bni_48]i19965[12] + [(-1)bni_48]i19951[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] + i19951[12] ≥ 0∧i19965[12] ≥ 0∧i2[12] + [-2] + [-1]i19951[12] ≥ 0∧i20728[12] + [-1] ≥ 0∧i19951[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_48 + bni_48] + [(2)bni_48]i19965[12] + [(-1)bni_48]i19951[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] + i19951[12] ≥ 0∧i19965[12] ≥ 0∧i2[12] ≥ 0∧i20728[12] + [-1] ≥ 0∧i19951[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_48 + (3)bni_48] + [(2)bni_48]i19965[12] + [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] + i19951[12] ≥ 0∧i19965[12] ≥ 0∧i2[12] ≥ 0∧i20728[12] ≥ 0∧i19951[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_48 + (3)bni_48] + [(2)bni_48]i19965[12] + [bni_48]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 0)







For Pair COND_LOAD36680ARR5(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → JMP38544'(java.lang.Object(ARRAY(i2, a46901data)), +(i19951, 1), i19965) the following chains were created:
  • We consider the chain COND_LOAD36680ARR5(TRUE, java.lang.Object(ARRAY(i2[13], a46901data[13])), i19951[13], i19965[13], java.lang.Object(java.lang.String(i20728[13], i20433[13], i20435[13], a47776[13]))) → JMP38544'(java.lang.Object(ARRAY(i2[13], a46901data[13])), +(i19951[13], 1), i19965[13]) which results in the following constraint:

    (87)    (COND_LOAD36680ARR5(TRUE, java.lang.Object(ARRAY(i2[13], a46901data[13])), i19951[13], i19965[13], java.lang.Object(java.lang.String(i20728[13], i20433[13], i20435[13], a47776[13])))≥NonInfC∧COND_LOAD36680ARR5(TRUE, java.lang.Object(ARRAY(i2[13], a46901data[13])), i19951[13], i19965[13], java.lang.Object(java.lang.String(i20728[13], i20433[13], i20435[13], a47776[13])))≥JMP38544'(java.lang.Object(ARRAY(i2[13], a46901data[13])), +(i19951[13], 1), i19965[13])∧(UIncreasing(JMP38544'(java.lang.Object(ARRAY(i2[13], a46901data[13])), +(i19951[13], 1), i19965[13])), ≥))



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

    (88)    ((UIncreasing(JMP38544'(java.lang.Object(ARRAY(i2[13], a46901data[13])), +(i19951[13], 1), i19965[13])), ≥)∧[1 + (-1)bso_51] ≥ 0)



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

    (89)    ((UIncreasing(JMP38544'(java.lang.Object(ARRAY(i2[13], a46901data[13])), +(i19951[13], 1), i19965[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(JMP38544'(java.lang.Object(ARRAY(i2[13], a46901data[13])), +(i19951[13], 1), i19965[13])), ≥)∧[1 + (-1)bso_51] ≥ 0)



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

    (91)    ((UIncreasing(JMP38544'(java.lang.Object(ARRAY(i2[13], a46901data[13])), +(i19951[13], 1), i19965[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.
  • LOAD36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → LOAD36680ARR1(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
    • ((UIncreasing(LOAD36680ARR1(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_25] ≥ 0)

  • LOAD36680ARR1(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → COND_LOAD36680ARR1(&&(&&(&&(>(i19951, 0), <(i19951, i2)), >(i19965, 0)), >(+(i19951, 1), 0)), java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
    • ([1] + i19951[1] ≥ 0∧i19965[1] ≥ 0∧i19951[1] ≥ 0∧i2[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])), ≥)∧0 = 0∧[(4)bni_26 + (-1)Bound*bni_26] + [(2)bni_26]i19965[1] + [bni_26]i2[1] ≥ 0∧0 = 0∧[1 + (-1)bso_27] ≥ 0)

  • COND_LOAD36680ARR1(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → INC38465(java.lang.Object(ARRAY(i2, a46901data)), +(i19951, 1), i19965)
    • ((UIncreasing(INC38465(java.lang.Object(ARRAY(i2[2], a46901data[2])), +(i19951[2], 1), i19965[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_29] ≥ 0)

  • JMP38544'(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965) → INC38465(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965)
    • ((UIncreasing(INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)

  • LOAD36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → LOAD36680ARR2(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
    • ((UIncreasing(LOAD36680ARR2(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4], java.lang.Object(java.lang.String(i20728[4], i20433[4], i20435[4], a47776[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_33] ≥ 0)

  • LOAD36680ARR2(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728, 0), >(i19951, 0)), <(i19951, i2)), >(i19965, 0)), >(+(i19951, 1), 0)), java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
    • ([1] + i19951[5] ≥ 0∧i19965[5] ≥ 0∧i2[5] ≥ 0∧i20728[5] ≥ 0∧i19951[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(4)bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i19965[5] + [bni_34]i2[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

  • COND_LOAD36680ARR2(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → INC38465(java.lang.Object(ARRAY(i2, a46901data)), +(i19951, 1), i19965)
    • ((UIncreasing(INC38465(java.lang.Object(ARRAY(i2[6], a46901data[6])), +(i19951[6], 1), i19965[6])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_37] ≥ 0)

  • INC38465(java.lang.Object(ARRAY(i2, a46901data)), i20183, i19965) → LOAD36680(java.lang.Object(ARRAY(i2, a46901data)), i20183, +(i19965, -1))
    • ((UIncreasing(LOAD36680(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], +(i19965[7], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)

  • LOAD36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → LOAD36680ARR3(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
    • ((UIncreasing(LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)

  • LOAD36680ARR3(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → COND_LOAD36680ARR3(&&(&&(&&(>(i19951, 0), <(i19951, i2)), >(i19965, 0)), >(+(i19951, 1), 0)), java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965)
    • ([1] + i19951[9] ≥ 0∧i19965[9] ≥ 0∧i19951[9] ≥ 0∧i2[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])), ≥)∧0 = 0∧[(5)bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i19965[9] + [bni_42]i2[9] ≥ 0∧0 = 0∧[2 + (-1)bso_43] ≥ 0)

  • COND_LOAD36680ARR3(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → LOAD36680(java.lang.Object(ARRAY(i2, a46901data)), +(i19951, 1), +(i19965, -1))
    • ((UIncreasing(LOAD36680(java.lang.Object(ARRAY(i2[10], a46901data[10])), +(i19951[10], 1), +(i19965[10], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_45] ≥ 0)

  • LOAD36680(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965) → LOAD36680ARR5(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
    • ((UIncreasing(LOAD36680ARR5(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11], java.lang.Object(java.lang.String(i20728[11], i20433[11], i20435[11], a47776[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_47] ≥ 0)

  • LOAD36680ARR5(java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728, 0), >(i19951, 0)), <(i19951, i2)), >(i19965, 0)), >(+(i19951, 1), 0)), java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776)))
    • ([1] + i19951[12] ≥ 0∧i19965[12] ≥ 0∧i2[12] ≥ 0∧i20728[12] ≥ 0∧i19951[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_48 + (3)bni_48] + [(2)bni_48]i19965[12] + [bni_48]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 0)

  • COND_LOAD36680ARR5(TRUE, java.lang.Object(ARRAY(i2, a46901data)), i19951, i19965, java.lang.Object(java.lang.String(i20728, i20433, i20435, a47776))) → JMP38544'(java.lang.Object(ARRAY(i2, a46901data)), +(i19951, 1), i19965)
    • ((UIncreasing(JMP38544'(java.lang.Object(ARRAY(i2[13], a46901data[13])), +(i19951[13], 1), i19965[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(LOAD36680(x1, x2, x3)) = [1] + [2]x3 + [-1]x1 + [-1]x2   
POL(java.lang.Object(x1)) = x1   
POL(ARRAY(x1, x2)) = [-1] + [-1]x1   
POL(LOAD36680ARR1(x1, x2, x3)) = [2]x3 + [-1]x1 + [-1]x2   
POL(COND_LOAD36680ARR1(x1, x2, x3, x4)) = [-1] + [2]x4 + [-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(INC38465(x1, x2, x3)) = [-1] + [2]x3 + [-1]x2 + [-1]x1   
POL(JMP38544'(x1, x2, x3)) = [-1] + [2]x3 + [-1]x2 + [-1]x1   
POL(LOAD36680ARR2(x1, x2, x3, x4)) = [2]x3 + [-1]x1 + [-1]x2   
POL(java.lang.String(x1, x2, x3, x4)) = [-1] + [-1]x4 + [-1]x3 + [-1]x1   
POL(COND_LOAD36680ARR2(x1, x2, x3, x4, x5)) = [2]x4 + [-1]x2 + [-1]x3   
POL(-1) = [-1]   
POL(LOAD36680ARR3(x1, x2, x3)) = [1] + [2]x3 + [-1]x2 + [-1]x1   
POL(COND_LOAD36680ARR3(x1, x2, x3, x4)) = [-1] + [2]x4 + [-1]x3 + [-1]x2   
POL(LOAD36680ARR5(x1, x2, x3, x4)) = [-1] + [2]x3 + [-1]x2 + [-1]x1   
POL(COND_LOAD36680ARR5(x1, x2, x3, x4, x5)) = [-1] + [2]x4 + [-1]x3 + [-1]x2   

The following pairs are in P>:

LOAD36680(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0]) → LOAD36680ARR1(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])
LOAD36680ARR1(java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1]) → COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])
COND_LOAD36680ARR1(TRUE, java.lang.Object(ARRAY(i2[2], a46901data[2])), i19951[2], i19965[2]) → INC38465(java.lang.Object(ARRAY(i2[2], a46901data[2])), +(i19951[2], 1), i19965[2])
LOAD36680(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4]) → LOAD36680ARR2(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4], java.lang.Object(java.lang.String(i20728[4], i20433[4], i20435[4], a47776[4])))
COND_LOAD36680ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a46901data[6])), i19951[6], i19965[6], java.lang.Object(java.lang.String(i20728[6], i20433[6], i20435[6], a47776[6]))) → INC38465(java.lang.Object(ARRAY(i2[6], a46901data[6])), +(i19951[6], 1), i19965[6])
LOAD36680ARR3(java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9]) → COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])
COND_LOAD36680ARR3(TRUE, java.lang.Object(ARRAY(i2[10], a46901data[10])), i19951[10], i19965[10]) → LOAD36680(java.lang.Object(ARRAY(i2[10], a46901data[10])), +(i19951[10], 1), +(i19965[10], -1))
LOAD36680(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11]) → LOAD36680ARR5(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11], java.lang.Object(java.lang.String(i20728[11], i20433[11], i20435[11], a47776[11])))
COND_LOAD36680ARR5(TRUE, java.lang.Object(ARRAY(i2[13], a46901data[13])), i19951[13], i19965[13], java.lang.Object(java.lang.String(i20728[13], i20433[13], i20435[13], a47776[13]))) → JMP38544'(java.lang.Object(ARRAY(i2[13], a46901data[13])), +(i19951[13], 1), i19965[13])

The following pairs are in Pbound:

LOAD36680ARR1(java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1]) → COND_LOAD36680ARR1(&&(&&(&&(>(i19951[1], 0), <(i19951[1], i2[1])), >(i19965[1], 0)), >(+(i19951[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a46901data[1])), i19951[1], i19965[1])
LOAD36680ARR2(java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5]))) → COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))
LOAD36680ARR3(java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9]) → COND_LOAD36680ARR3(&&(&&(&&(>(i19951[9], 0), <(i19951[9], i2[9])), >(i19965[9], 0)), >(+(i19951[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a46901data[9])), i19951[9], i19965[9])
LOAD36680ARR5(java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12]))) → COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))

The following pairs are in P≥:

JMP38544'(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3]) → INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])
LOAD36680ARR2(java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5]))) → COND_LOAD36680ARR2(&&(&&(&&(&&(>(i20728[5], 0), >(i19951[5], 0)), <(i19951[5], i2[5])), >(i19965[5], 0)), >(+(i19951[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))
INC38465(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], i19965[7]) → LOAD36680(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], +(i19965[7], -1))
LOAD36680(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8]) → LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])
LOAD36680ARR5(java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12]))) → COND_LOAD36680ARR5(&&(&&(&&(&&(>(i20728[12], 0), >(i19951[12], 0)), <(i19951[12], i2[12])), >(i19965[12], 0)), >(+(i19951[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))

There are no usable rules.

(30) Complex Obligation (AND)

(31) 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:
(3): JMP38544'(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3]) → INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])
(5): LOAD36680ARR2(java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5]))) → COND_LOAD36680ARR2(i20728[5] > 0 && i19951[5] > 0 && i19951[5] < i2[5] && i19965[5] > 0 && i19951[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a46901data[5])), i19951[5], i19965[5], java.lang.Object(java.lang.String(i20728[5], i20433[5], i20435[5], a47776[5])))
(7): INC38465(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], i19965[7]) → LOAD36680(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], i19965[7] + -1)
(8): LOAD36680(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8]) → LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])
(12): LOAD36680ARR5(java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12]))) → COND_LOAD36680ARR5(i20728[12] > 0 && i19951[12] > 0 && i19951[12] < i2[12] && i19965[12] > 0 && i19951[12] + 1 > 0, java.lang.Object(ARRAY(i2[12], a46901data[12])), i19951[12], i19965[12], java.lang.Object(java.lang.String(i20728[12], i20433[12], i20435[12], a47776[12])))

(3) -> (7), if ((i20183[3] →* i20183[7])∧(i19965[3] →* i19965[7])∧((i2[3] →* i2[7])∧(a46901data[3] →* a46901data[7])))


(7) -> (8), if ((i19965[7] + -1 →* i19965[8])∧((i2[7] →* i2[8])∧(a46901data[7] →* a46901data[8]))∧(i20183[7] →* i19951[8]))



The set Q consists of the following terms:
Load36680(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP38544(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc38465(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(32) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 5 less nodes.

(33) TRUE

(34) 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): LOAD36680(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0]) → LOAD36680ARR1(java.lang.Object(ARRAY(i2[0], a46901data[0])), i19951[0], i19965[0])
(2): COND_LOAD36680ARR1(TRUE, java.lang.Object(ARRAY(i2[2], a46901data[2])), i19951[2], i19965[2]) → INC38465(java.lang.Object(ARRAY(i2[2], a46901data[2])), i19951[2] + 1, i19965[2])
(3): JMP38544'(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3]) → INC38465(java.lang.Object(ARRAY(i2[3], a46901data[3])), i20183[3], i19965[3])
(4): LOAD36680(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4]) → LOAD36680ARR2(java.lang.Object(ARRAY(i2[4], a46901data[4])), i19951[4], i19965[4], java.lang.Object(java.lang.String(i20728[4], i20433[4], i20435[4], a47776[4])))
(6): COND_LOAD36680ARR2(TRUE, java.lang.Object(ARRAY(i2[6], a46901data[6])), i19951[6], i19965[6], java.lang.Object(java.lang.String(i20728[6], i20433[6], i20435[6], a47776[6]))) → INC38465(java.lang.Object(ARRAY(i2[6], a46901data[6])), i19951[6] + 1, i19965[6])
(7): INC38465(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], i19965[7]) → LOAD36680(java.lang.Object(ARRAY(i2[7], a46901data[7])), i20183[7], i19965[7] + -1)
(8): LOAD36680(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8]) → LOAD36680ARR3(java.lang.Object(ARRAY(i2[8], a46901data[8])), i19951[8], i19965[8])
(10): COND_LOAD36680ARR3(TRUE, java.lang.Object(ARRAY(i2[10], a46901data[10])), i19951[10], i19965[10]) → LOAD36680(java.lang.Object(ARRAY(i2[10], a46901data[10])), i19951[10] + 1, i19965[10] + -1)
(11): LOAD36680(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11]) → LOAD36680ARR5(java.lang.Object(ARRAY(i2[11], a46901data[11])), i19951[11], i19965[11], java.lang.Object(java.lang.String(i20728[11], i20433[11], i20435[11], a47776[11])))
(13): COND_LOAD36680ARR5(TRUE, java.lang.Object(ARRAY(i2[13], a46901data[13])), i19951[13], i19965[13], java.lang.Object(java.lang.String(i20728[13], i20433[13], i20435[13], a47776[13]))) → JMP38544'(java.lang.Object(ARRAY(i2[13], a46901data[13])), i19951[13] + 1, i19965[13])

(7) -> (0), if (((i2[7] →* i2[0])∧(a46901data[7] →* a46901data[0]))∧(i20183[7] →* i19951[0])∧(i19965[7] + -1 →* i19965[0]))


(10) -> (0), if (((i2[10] →* i2[0])∧(a46901data[10] →* a46901data[0]))∧(i19951[10] + 1 →* i19951[0])∧(i19965[10] + -1 →* i19965[0]))


(13) -> (3), if ((i19951[13] + 1 →* i20183[3])∧((i2[13] →* i2[3])∧(a46901data[13] →* a46901data[3]))∧(i19965[13] →* i19965[3]))


(7) -> (4), if ((i19965[7] + -1 →* i19965[4])∧(i20183[7] →* i19951[4])∧((i2[7] →* i2[4])∧(a46901data[7] →* a46901data[4])))


(10) -> (4), if ((i19965[10] + -1 →* i19965[4])∧((i2[10] →* i2[4])∧(a46901data[10] →* a46901data[4]))∧(i19951[10] + 1 →* i19951[4]))


(2) -> (7), if (((i2[2] →* i2[7])∧(a46901data[2] →* a46901data[7]))∧(i19965[2] →* i19965[7])∧(i19951[2] + 1 →* i20183[7]))


(3) -> (7), if ((i20183[3] →* i20183[7])∧(i19965[3] →* i19965[7])∧((i2[3] →* i2[7])∧(a46901data[3] →* a46901data[7])))


(6) -> (7), if ((i19951[6] + 1 →* i20183[7])∧(i19965[6] →* i19965[7])∧((i2[6] →* i2[7])∧(a46901data[6] →* a46901data[7])))


(7) -> (8), if ((i19965[7] + -1 →* i19965[8])∧((i2[7] →* i2[8])∧(a46901data[7] →* a46901data[8]))∧(i20183[7] →* i19951[8]))


(10) -> (8), if ((i19951[10] + 1 →* i19951[8])∧(i19965[10] + -1 →* i19965[8])∧((i2[10] →* i2[8])∧(a46901data[10] →* a46901data[8])))


(7) -> (11), if ((i19965[7] + -1 →* i19965[11])∧(i20183[7] →* i19951[11])∧((i2[7] →* i2[11])∧(a46901data[7] →* a46901data[11])))


(10) -> (11), if ((i19965[10] + -1 →* i19965[11])∧((i2[10] →* i2[11])∧(a46901data[10] →* a46901data[11]))∧(i19951[10] + 1 →* i19951[11]))



The set Q consists of the following terms:
Load36680(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR1(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR1(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP38544(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR2(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR2(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc38465(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR3(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load36680ARR3(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load36680ARR5(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load36680ARR5(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(35) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 10 less nodes.

(36) TRUE

(37) 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:
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC)))) → Load18470ARR9(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Load18470ARR9(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → Cond_Load18470ARR9(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Cond_Load18470ARR9(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)))
JMP23853(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2))) → Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2)))
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2)), o25527, o25528))) → Load18470ARR10(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2)), o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR10(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2)), o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR10(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2)), o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR10(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2)), o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2)))
Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2))) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161 + -1, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2)))
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2)), o25488))) → Load18470ARR11(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2)), o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Load18470ARR11(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2)), o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → Cond_Load18470ARR11(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2)), o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Cond_Load18470ARR11(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2)), o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161 + -1, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2)))
Inc26153(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC)))) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161 + -1, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))))
JMP26046(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC)))) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161 + -1, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))))
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, NULL, o25488))) → Load18470ARR12(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, NULL, o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Load18470ARR12(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → Cond_Load18470ARR12(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Cond_Load18470ARR12(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161 + -1, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))))
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC)))) → Load18470ARR13(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR13(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR13(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR13(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → JMP23853(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161, java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)))
JMP26084(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC)))) → Inc26153(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))))
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o25527, o25528))) → Load18470ARR14(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR14(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR14(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR14(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Inc26153(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))))
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, NULL, java.lang.Object(EOC))), java.lang.Object(Tree(o20302, NULL, java.lang.Object(EOC)))) → Load18470ARR15(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, NULL, java.lang.Object(EOC))), java.lang.Object(Tree(o20302, NULL, java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Load18470ARR15(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o20302, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → Cond_Load18470ARR15(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o20302, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Cond_Load18470ARR15(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o20302, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → JMP26046(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o20302, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))))
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(NULL, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o20303, java.lang.Object(EOC)))) → Load18470ARR16(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(NULL, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR16(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR16(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR16(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → JMP26084(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20303, java.lang.Object(EOC))))
The set Q consists of the following terms:
Load18470ARR9(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_Load18470ARR9(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)))
JMP23853(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)))
Load18470(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)))
Load18470ARR10(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_Load18470ARR10(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)))
Inc23747(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)))
Load18470(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)))
Load18470ARR11(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_Load18470ARR11(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)))
Inc26153(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))))
JMP26046(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))))
Load18470(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)))
Load18470ARR12(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_Load18470ARR12(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)))
Load18470ARR13(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_Load18470ARR13(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)))
JMP26084(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))))
Load18470(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)))
Load18470ARR14(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_Load18470ARR14(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)))
Load18470ARR15(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_Load18470ARR15(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)))
Load18470ARR16(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_Load18470ARR16(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)))

(38) DuplicateArgsRemoverProof (EQUIVALENT transformation)

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

JMP26084(x1, x2, x3, x4, x5) → JMP26084(x1, x2, x3, x5)
Cond_Load18470ARR16(x1, x2, x3, x4, x5, x6, x7) → Cond_Load18470ARR16(x1, x2, x3, x4, x6, x7)
Load18470ARR16(x1, x2, x3, x4, x5, x6) → Load18470ARR16(x1, x2, x3, x5, x6)
JMP26046(x1, x2, x3, x4, x5) → JMP26046(x1, x2, x3, x5)
Cond_Load18470ARR15(x1, x2, x3, x4, x5, x6, x7) → Cond_Load18470ARR15(x1, x2, x3, x4, x6, x7)
Load18470ARR15(x1, x2, x3, x4, x5, x6) → Load18470ARR15(x1, x2, x3, x5, x6)
Inc26153(x1, x2, x3, x4, x5) → Inc26153(x1, x2, x3, x5)
Cond_Load18470ARR13(x1, x2, x3, x4, x5, x6, x7) → Cond_Load18470ARR13(x1, x2, x3, x4, x6, x7)
Load18470ARR13(x1, x2, x3, x4, x5, x6) → Load18470ARR13(x1, x2, x3, x5, x6)
Cond_Load18470ARR9(x1, x2, x3, x4, x5, x6, x7) → Cond_Load18470ARR9(x1, x2, x3, x4, x6, x7)
Load18470ARR9(x1, x2, x3, x4, x5, x6) → Load18470ARR9(x1, x2, x3, x5, x6)

(39) 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:
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC)))) → Load18470ARR9(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Load18470ARR9(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → Cond_Load18470ARR9(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Cond_Load18470ARR9(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o25742Field0, o25742Field1, o25742Field2)))
JMP23853(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2))) → Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2)))
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2)), o25527, o25528))) → Load18470ARR10(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2)), o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR10(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2)), o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR10(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2)), o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR10(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2)), o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o26101Field0, o26101Field1, o26101Field2)))
Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2))) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161 + -1, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2)))
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2)), o25488))) → Load18470ARR11(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2)), o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Load18470ARR11(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2)), o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → Cond_Load18470ARR11(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2)), o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Cond_Load18470ARR11(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2)), o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161 + -1, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o26005Field0, o26005Field1, o26005Field2)))
Inc26153(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC)))) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161 + -1, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))))
JMP26046(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC)))) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161 + -1, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))))
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, NULL, o25488))) → Load18470ARR12(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, NULL, o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Load18470ARR12(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → Cond_Load18470ARR12(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Cond_Load18470ARR12(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25486, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o25488)), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161 + -1, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))))
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC)))) → Load18470ARR13(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR13(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR13(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR13(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → JMP23853(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161, java.lang.Object(Tree(java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)), o20303, java.lang.Object(EOC))), java.lang.Object(Tree(o25849Field0, o25849Field1, o25849Field2)))
JMP26084(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC)))) → Inc26153(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))))
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o25527, o25528))) → Load18470ARR14(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR14(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR14(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR14(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o25527, o25528)), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Inc26153(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161, java.lang.Object(Tree(o20302, o20303, java.lang.Object(EOC))))
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, NULL, java.lang.Object(EOC))), java.lang.Object(Tree(o20302, NULL, java.lang.Object(EOC)))) → Load18470ARR15(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, NULL, java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Load18470ARR15(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → Cond_Load18470ARR15(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200)))
Cond_Load18470ARR15(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i7066, i7068, a23200))) → JMP26046(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161, java.lang.Object(Tree(o20302, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))))
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(NULL, o20303, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o20303, java.lang.Object(EOC)))) → Load18470ARR16(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(NULL, o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR16(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR16(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR16(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20303, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → JMP26084(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20303, java.lang.Object(EOC))))
The set Q consists of the following terms:
Load18470ARR9(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_Load18470ARR9(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)))
JMP23853(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)))
Load18470(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)))
Load18470ARR10(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_Load18470ARR10(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)))
Inc23747(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)))
Load18470(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)))
Load18470ARR11(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_Load18470ARR11(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)))
Inc26153(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))))
JMP26046(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))))
Load18470(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)))
Load18470ARR12(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_Load18470ARR12(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)))
Load18470ARR13(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_Load18470ARR13(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)))
JMP26084(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))))
Load18470(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)))
Load18470ARR14(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_Load18470ARR14(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)))
Load18470ARR15(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_Load18470ARR15(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)))
Load18470ARR16(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_Load18470ARR16(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)))

(40) ITRSFilterProcessorProof (SOUND transformation)

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

Load18470(x1, x2, x3, x4, x5) → Load18470(x1, x2, x3)
Tree(x1, x2, x3) → Tree
Load18470ARR9(x1, x2, x3, x4, x5) → Load18470ARR9(x1, x2, x3)
Cond_Load18470ARR9(x1, x2, x3, x4, x5, x6) → Cond_Load18470ARR9(x1, x2, x3, x4)
Inc23747(x1, x2, x3, x4, x5) → Inc23747(x1, x2, x3)
JMP23853(x1, x2, x3, x4, x5) → JMP23853(x1, x2, x3)
Load18470ARR10(x1, x2, x3, x4, x5, x6) → Load18470ARR10(x1, x2, x3, x6)
Cond_Load18470ARR10(x1, x2, x3, x4, x5, x6, x7) → Cond_Load18470ARR10(x1, x2, x3, x4, x7)
Load18470ARR11(x1, x2, x3, x4, x5, x6) → Load18470ARR11(x1, x2, x3)
Cond_Load18470ARR11(x1, x2, x3, x4, x5, x6, x7) → Cond_Load18470ARR11(x1, x2, x3, x4)
Inc26153(x1, x2, x3, x4) → Inc26153(x1, x2, x3)
JMP26046(x1, x2, x3, x4) → JMP26046(x1, x2, x3)
Load18470ARR12(x1, x2, x3, x4, x5, x6) → Load18470ARR12(x1, x2, x3)
Cond_Load18470ARR12(x1, x2, x3, x4, x5, x6, x7) → Cond_Load18470ARR12(x1, x2, x3, x4)
Load18470ARR13(x1, x2, x3, x4, x5) → Load18470ARR13(x1, x2, x3, x5)
Cond_Load18470ARR13(x1, x2, x3, x4, x5, x6) → Cond_Load18470ARR13(x1, x2, x3, x4, x6)
JMP26084(x1, x2, x3, x4) → JMP26084(x1, x2, x3)
Load18470ARR14(x1, x2, x3, x4, x5, x6) → Load18470ARR14(x1, x2, x3, x6)
Cond_Load18470ARR14(x1, x2, x3, x4, x5, x6, x7) → Cond_Load18470ARR14(x1, x2, x3, x4, x7)
Load18470ARR15(x1, x2, x3, x4, x5) → Load18470ARR15(x1, x2, x3)
Cond_Load18470ARR15(x1, x2, x3, x4, x5, x6) → Cond_Load18470ARR15(x1, x2, x3, x4)
Load18470ARR16(x1, x2, x3, x4, x5) → Load18470ARR16(x1, x2, x3, x5)
Cond_Load18470ARR16(x1, x2, x3, x4, x5, x6) → Cond_Load18470ARR16(x1, x2, x3, x4, x6)

(41) 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:
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR9(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Load18470ARR9(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Cond_Load18470ARR9(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Cond_Load18470ARR9(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161)
JMP23853(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161) → Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161)
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR10(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR10(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR10(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR10(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161)
Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161 + -1)
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR11(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Load18470ARR11(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Cond_Load18470ARR11(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Cond_Load18470ARR11(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161 + -1)
Inc26153(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161 + -1)
JMP26046(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161 + -1)
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR12(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Load18470ARR12(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Cond_Load18470ARR12(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Cond_Load18470ARR12(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161 + -1)
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR13(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR13(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR13(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR13(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → JMP23853(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161)
JMP26084(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161) → Inc26153(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161)
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR14(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR14(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR14(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR14(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Inc26153(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161)
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR15(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Load18470ARR15(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Cond_Load18470ARR15(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Cond_Load18470ARR15(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → JMP26046(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161)
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR16(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR16(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR16(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR16(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → JMP26084(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161)
The set Q consists of the following terms:
Load18470(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP23853(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc23747(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Inc26153(java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP26046(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR12(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR12(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
JMP26084(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR14(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR14(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Load18470ARR15(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR15(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR16(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR16(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(42) ITRSFSMergerProof (SOUND transformation)

The following function symbols have been merged:

Load18470ARR9, Load18470ARR15
 > Load18470ARR9_3

Load18470ARR11, Load18470ARR12
 > Load18470ARR11_3

Cond_Load18470ARR9, Cond_Load18470ARR15
 > Cond_Load18470ARR9_4

JMP23853, JMP26084
 > JMP23853_3

Load18470ARR10, Load18470ARR14
 > Load18470ARR10_4

Load18470ARR13, Load18470ARR16
 > Load18470ARR13_4

Cond_Load18470ARR13, Cond_Load18470ARR16
 > Cond_Load18470ARR13_5

Cond_Load18470ARR10, Cond_Load18470ARR14
 > Cond_Load18470ARR10_5

Inc23747, Inc26153, JMP26046
 > Inc23747_3

Cond_Load18470ARR11, Cond_Load18470ARR12
 > Cond_Load18470ARR11_4

(43) 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:
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR9(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Load18470ARR9(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Cond_Load18470ARR9(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Cond_Load18470ARR9(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161)
JMP23853(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161) → Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161)
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR10(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR10(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR10(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR10(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161)
Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161 + -1)
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR11(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Load18470ARR11(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Cond_Load18470ARR11(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Cond_Load18470ARR11(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161 + -1)
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR13(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR13(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR13(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR13(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → JMP23853(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161)
The set Q consists of the following terms:
Load18470(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP23853(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc23747(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(44) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

(45) 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:
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR9(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Load18470ARR9(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Cond_Load18470ARR9(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Cond_Load18470ARR9(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161)
JMP23853(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161) → Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161)
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR10(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR10(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR10(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR10(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161)
Inc23747(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161 + -1)
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR11(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Load18470ARR11(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Cond_Load18470ARR11(i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
Cond_Load18470ARR11(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161 + -1)
Load18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → Load18470ARR13(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Load18470ARR13(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → Cond_Load18470ARR13(i7426 > 0 && i6095 > 0 && i6095 < i2 && i6161 > 0 && i6095 + 1 > 0, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
Cond_Load18470ARR13(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → JMP23853(java.lang.Object(ARRAY(i2, a20407data)), i6095 + 1, i6161)

The integer pair graph contains the following rules and edges:
(0): LOAD18470(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0]) → LOAD18470ARR9(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])
(1): LOAD18470ARR9(java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1]) → COND_LOAD18470ARR9(i6095[1] > 0 && i6095[1] < i2[1] && i6161[1] > 0 && i6095[1] + 1 > 0, java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])
(2): COND_LOAD18470ARR9(TRUE, java.lang.Object(ARRAY(i2[2], a20407data[2])), i6095[2], i6161[2]) → INC23747(java.lang.Object(ARRAY(i2[2], a20407data[2])), i6095[2] + 1, i6161[2])
(3): JMP23853'(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3]) → INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])
(4): LOAD18470(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4]) → LOAD18470ARR10(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4], java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4])))
(5): LOAD18470ARR10(java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5]))) → COND_LOAD18470ARR10(i7426[5] > 0 && i6095[5] > 0 && i6095[5] < i2[5] && i6161[5] > 0 && i6095[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))
(6): COND_LOAD18470ARR10(TRUE, java.lang.Object(ARRAY(i2[6], a20407data[6])), i6095[6], i6161[6], java.lang.Object(java.lang.String(i7426[6], i7066[6], i7068[6], a23200[6]))) → INC23747(java.lang.Object(ARRAY(i2[6], a20407data[6])), i6095[6] + 1, i6161[6])
(7): INC23747(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], i6161[7]) → LOAD18470(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], i6161[7] + -1)
(8): LOAD18470(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8]) → LOAD18470ARR11(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])
(9): LOAD18470ARR11(java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9]) → COND_LOAD18470ARR11(i6095[9] > 0 && i6095[9] < i2[9] && i6161[9] > 0 && i6095[9] + 1 > 0, java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])
(10): COND_LOAD18470ARR11(TRUE, java.lang.Object(ARRAY(i2[10], a20407data[10])), i6095[10], i6161[10]) → LOAD18470(java.lang.Object(ARRAY(i2[10], a20407data[10])), i6095[10] + 1, i6161[10] + -1)
(11): LOAD18470(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11]) → LOAD18470ARR13(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11], java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11])))
(12): LOAD18470ARR13(java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12]))) → COND_LOAD18470ARR13(i7426[12] > 0 && i6095[12] > 0 && i6095[12] < i2[12] && i6161[12] > 0 && i6095[12] + 1 > 0, java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))
(13): COND_LOAD18470ARR13(TRUE, java.lang.Object(ARRAY(i2[13], a20407data[13])), i6095[13], i6161[13], java.lang.Object(java.lang.String(i7426[13], i7066[13], i7068[13], a23200[13]))) → JMP23853'(java.lang.Object(ARRAY(i2[13], a20407data[13])), i6095[13] + 1, i6161[13])

(0) -> (1), if ((i6161[0] →* i6161[1])∧(i6095[0] →* i6095[1])∧(java.lang.Object(ARRAY(i2[0], a20407data[0])) →* java.lang.Object(ARRAY(i2[1], a20407data[1]))))


(1) -> (2), if ((i6161[1] →* i6161[2])∧(java.lang.Object(ARRAY(i2[1], a20407data[1])) →* java.lang.Object(ARRAY(i2[2], a20407data[2])))∧(i6095[1] →* i6095[2])∧(i6095[1] > 0 && i6095[1] < i2[1] && i6161[1] > 0 && i6095[1] + 1 > 0 →* TRUE))


(2) -> (7), if ((java.lang.Object(ARRAY(i2[2], a20407data[2])) →* java.lang.Object(ARRAY(i2[7], a20407data[7])))∧(i6161[2] →* i6161[7])∧(i6095[2] + 1 →* i6632[7]))


(3) -> (7), if ((java.lang.Object(ARRAY(i2[3], a20407data[3])) →* java.lang.Object(ARRAY(i2[7], a20407data[7])))∧(i6632[3] →* i6632[7])∧(i6161[3] →* i6161[7]))


(4) -> (5), if ((java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4])) →* java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))∧(i6161[4] →* i6161[5])∧(java.lang.Object(ARRAY(i2[4], a20407data[4])) →* java.lang.Object(ARRAY(i2[5], a20407data[5])))∧(i6095[4] →* i6095[5]))


(5) -> (6), if ((i6095[5] →* i6095[6])∧(java.lang.Object(ARRAY(i2[5], a20407data[5])) →* java.lang.Object(ARRAY(i2[6], a20407data[6])))∧(i7426[5] > 0 && i6095[5] > 0 && i6095[5] < i2[5] && i6161[5] > 0 && i6095[5] + 1 > 0 →* TRUE)∧(i6161[5] →* i6161[6])∧(java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])) →* java.lang.Object(java.lang.String(i7426[6], i7066[6], i7068[6], a23200[6]))))


(6) -> (7), if ((java.lang.Object(ARRAY(i2[6], a20407data[6])) →* java.lang.Object(ARRAY(i2[7], a20407data[7])))∧(i6161[6] →* i6161[7])∧(i6095[6] + 1 →* i6632[7]))


(7) -> (0), if ((i6632[7] →* i6095[0])∧(i6161[7] + -1 →* i6161[0])∧(java.lang.Object(ARRAY(i2[7], a20407data[7])) →* java.lang.Object(ARRAY(i2[0], a20407data[0]))))


(7) -> (4), if ((java.lang.Object(ARRAY(i2[7], a20407data[7])) →* java.lang.Object(ARRAY(i2[4], a20407data[4])))∧(i6161[7] + -1 →* i6161[4])∧(i6632[7] →* i6095[4]))


(7) -> (8), if ((java.lang.Object(ARRAY(i2[7], a20407data[7])) →* java.lang.Object(ARRAY(i2[8], a20407data[8])))∧(i6632[7] →* i6095[8])∧(i6161[7] + -1 →* i6161[8]))


(7) -> (11), if ((i6161[7] + -1 →* i6161[11])∧(java.lang.Object(ARRAY(i2[7], a20407data[7])) →* java.lang.Object(ARRAY(i2[11], a20407data[11])))∧(i6632[7] →* i6095[11]))


(8) -> (9), if ((i6095[8] →* i6095[9])∧(i6161[8] →* i6161[9])∧(java.lang.Object(ARRAY(i2[8], a20407data[8])) →* java.lang.Object(ARRAY(i2[9], a20407data[9]))))


(9) -> (10), if ((i6095[9] > 0 && i6095[9] < i2[9] && i6161[9] > 0 && i6095[9] + 1 > 0 →* TRUE)∧(i6161[9] →* i6161[10])∧(java.lang.Object(ARRAY(i2[9], a20407data[9])) →* java.lang.Object(ARRAY(i2[10], a20407data[10])))∧(i6095[9] →* i6095[10]))


(10) -> (0), if ((i6095[10] + 1 →* i6095[0])∧(i6161[10] + -1 →* i6161[0])∧(java.lang.Object(ARRAY(i2[10], a20407data[10])) →* java.lang.Object(ARRAY(i2[0], a20407data[0]))))


(10) -> (4), if ((java.lang.Object(ARRAY(i2[10], a20407data[10])) →* java.lang.Object(ARRAY(i2[4], a20407data[4])))∧(i6161[10] + -1 →* i6161[4])∧(i6095[10] + 1 →* i6095[4]))


(10) -> (8), if ((i6161[10] + -1 →* i6161[8])∧(i6095[10] + 1 →* i6095[8])∧(java.lang.Object(ARRAY(i2[10], a20407data[10])) →* java.lang.Object(ARRAY(i2[8], a20407data[8]))))


(10) -> (11), if ((java.lang.Object(ARRAY(i2[10], a20407data[10])) →* java.lang.Object(ARRAY(i2[11], a20407data[11])))∧(i6161[10] + -1 →* i6161[11])∧(i6095[10] + 1 →* i6095[11]))


(11) -> (12), if ((java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11])) →* java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))∧(i6095[11] →* i6095[12])∧(java.lang.Object(ARRAY(i2[11], a20407data[11])) →* java.lang.Object(ARRAY(i2[12], a20407data[12])))∧(i6161[11] →* i6161[12]))


(12) -> (13), if ((java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])) →* java.lang.Object(java.lang.String(i7426[13], i7066[13], i7068[13], a23200[13])))∧(i6095[12] →* i6095[13])∧(i6161[12] →* i6161[13])∧(java.lang.Object(ARRAY(i2[12], a20407data[12])) →* java.lang.Object(ARRAY(i2[13], a20407data[13])))∧(i7426[12] > 0 && i6095[12] > 0 && i6095[12] < i2[12] && i6161[12] > 0 && i6095[12] + 1 > 0 →* TRUE))


(13) -> (3), if ((i6161[13] →* i6161[3])∧(java.lang.Object(ARRAY(i2[13], a20407data[13])) →* java.lang.Object(ARRAY(i2[3], a20407data[3])))∧(i6095[13] + 1 →* i6632[3]))



The set Q consists of the following terms:
Load18470(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP23853(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc23747(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(46) 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.

(47) 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): LOAD18470(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0]) → LOAD18470ARR9(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])
(1): LOAD18470ARR9(java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1]) → COND_LOAD18470ARR9(i6095[1] > 0 && i6095[1] < i2[1] && i6161[1] > 0 && i6095[1] + 1 > 0, java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])
(2): COND_LOAD18470ARR9(TRUE, java.lang.Object(ARRAY(i2[2], a20407data[2])), i6095[2], i6161[2]) → INC23747(java.lang.Object(ARRAY(i2[2], a20407data[2])), i6095[2] + 1, i6161[2])
(3): JMP23853'(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3]) → INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])
(4): LOAD18470(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4]) → LOAD18470ARR10(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4], java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4])))
(5): LOAD18470ARR10(java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5]))) → COND_LOAD18470ARR10(i7426[5] > 0 && i6095[5] > 0 && i6095[5] < i2[5] && i6161[5] > 0 && i6095[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))
(6): COND_LOAD18470ARR10(TRUE, java.lang.Object(ARRAY(i2[6], a20407data[6])), i6095[6], i6161[6], java.lang.Object(java.lang.String(i7426[6], i7066[6], i7068[6], a23200[6]))) → INC23747(java.lang.Object(ARRAY(i2[6], a20407data[6])), i6095[6] + 1, i6161[6])
(7): INC23747(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], i6161[7]) → LOAD18470(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], i6161[7] + -1)
(8): LOAD18470(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8]) → LOAD18470ARR11(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])
(9): LOAD18470ARR11(java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9]) → COND_LOAD18470ARR11(i6095[9] > 0 && i6095[9] < i2[9] && i6161[9] > 0 && i6095[9] + 1 > 0, java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])
(10): COND_LOAD18470ARR11(TRUE, java.lang.Object(ARRAY(i2[10], a20407data[10])), i6095[10], i6161[10]) → LOAD18470(java.lang.Object(ARRAY(i2[10], a20407data[10])), i6095[10] + 1, i6161[10] + -1)
(11): LOAD18470(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11]) → LOAD18470ARR13(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11], java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11])))
(12): LOAD18470ARR13(java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12]))) → COND_LOAD18470ARR13(i7426[12] > 0 && i6095[12] > 0 && i6095[12] < i2[12] && i6161[12] > 0 && i6095[12] + 1 > 0, java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))
(13): COND_LOAD18470ARR13(TRUE, java.lang.Object(ARRAY(i2[13], a20407data[13])), i6095[13], i6161[13], java.lang.Object(java.lang.String(i7426[13], i7066[13], i7068[13], a23200[13]))) → JMP23853'(java.lang.Object(ARRAY(i2[13], a20407data[13])), i6095[13] + 1, i6161[13])

(0) -> (1), if ((i6161[0] →* i6161[1])∧(i6095[0] →* i6095[1])∧(java.lang.Object(ARRAY(i2[0], a20407data[0])) →* java.lang.Object(ARRAY(i2[1], a20407data[1]))))


(1) -> (2), if ((i6161[1] →* i6161[2])∧(java.lang.Object(ARRAY(i2[1], a20407data[1])) →* java.lang.Object(ARRAY(i2[2], a20407data[2])))∧(i6095[1] →* i6095[2])∧(i6095[1] > 0 && i6095[1] < i2[1] && i6161[1] > 0 && i6095[1] + 1 > 0 →* TRUE))


(2) -> (7), if ((java.lang.Object(ARRAY(i2[2], a20407data[2])) →* java.lang.Object(ARRAY(i2[7], a20407data[7])))∧(i6161[2] →* i6161[7])∧(i6095[2] + 1 →* i6632[7]))


(3) -> (7), if ((java.lang.Object(ARRAY(i2[3], a20407data[3])) →* java.lang.Object(ARRAY(i2[7], a20407data[7])))∧(i6632[3] →* i6632[7])∧(i6161[3] →* i6161[7]))


(4) -> (5), if ((java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4])) →* java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))∧(i6161[4] →* i6161[5])∧(java.lang.Object(ARRAY(i2[4], a20407data[4])) →* java.lang.Object(ARRAY(i2[5], a20407data[5])))∧(i6095[4] →* i6095[5]))


(5) -> (6), if ((i6095[5] →* i6095[6])∧(java.lang.Object(ARRAY(i2[5], a20407data[5])) →* java.lang.Object(ARRAY(i2[6], a20407data[6])))∧(i7426[5] > 0 && i6095[5] > 0 && i6095[5] < i2[5] && i6161[5] > 0 && i6095[5] + 1 > 0 →* TRUE)∧(i6161[5] →* i6161[6])∧(java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])) →* java.lang.Object(java.lang.String(i7426[6], i7066[6], i7068[6], a23200[6]))))


(6) -> (7), if ((java.lang.Object(ARRAY(i2[6], a20407data[6])) →* java.lang.Object(ARRAY(i2[7], a20407data[7])))∧(i6161[6] →* i6161[7])∧(i6095[6] + 1 →* i6632[7]))


(7) -> (0), if ((i6632[7] →* i6095[0])∧(i6161[7] + -1 →* i6161[0])∧(java.lang.Object(ARRAY(i2[7], a20407data[7])) →* java.lang.Object(ARRAY(i2[0], a20407data[0]))))


(7) -> (4), if ((java.lang.Object(ARRAY(i2[7], a20407data[7])) →* java.lang.Object(ARRAY(i2[4], a20407data[4])))∧(i6161[7] + -1 →* i6161[4])∧(i6632[7] →* i6095[4]))


(7) -> (8), if ((java.lang.Object(ARRAY(i2[7], a20407data[7])) →* java.lang.Object(ARRAY(i2[8], a20407data[8])))∧(i6632[7] →* i6095[8])∧(i6161[7] + -1 →* i6161[8]))


(7) -> (11), if ((i6161[7] + -1 →* i6161[11])∧(java.lang.Object(ARRAY(i2[7], a20407data[7])) →* java.lang.Object(ARRAY(i2[11], a20407data[11])))∧(i6632[7] →* i6095[11]))


(8) -> (9), if ((i6095[8] →* i6095[9])∧(i6161[8] →* i6161[9])∧(java.lang.Object(ARRAY(i2[8], a20407data[8])) →* java.lang.Object(ARRAY(i2[9], a20407data[9]))))


(9) -> (10), if ((i6095[9] > 0 && i6095[9] < i2[9] && i6161[9] > 0 && i6095[9] + 1 > 0 →* TRUE)∧(i6161[9] →* i6161[10])∧(java.lang.Object(ARRAY(i2[9], a20407data[9])) →* java.lang.Object(ARRAY(i2[10], a20407data[10])))∧(i6095[9] →* i6095[10]))


(10) -> (0), if ((i6095[10] + 1 →* i6095[0])∧(i6161[10] + -1 →* i6161[0])∧(java.lang.Object(ARRAY(i2[10], a20407data[10])) →* java.lang.Object(ARRAY(i2[0], a20407data[0]))))


(10) -> (4), if ((java.lang.Object(ARRAY(i2[10], a20407data[10])) →* java.lang.Object(ARRAY(i2[4], a20407data[4])))∧(i6161[10] + -1 →* i6161[4])∧(i6095[10] + 1 →* i6095[4]))


(10) -> (8), if ((i6161[10] + -1 →* i6161[8])∧(i6095[10] + 1 →* i6095[8])∧(java.lang.Object(ARRAY(i2[10], a20407data[10])) →* java.lang.Object(ARRAY(i2[8], a20407data[8]))))


(10) -> (11), if ((java.lang.Object(ARRAY(i2[10], a20407data[10])) →* java.lang.Object(ARRAY(i2[11], a20407data[11])))∧(i6161[10] + -1 →* i6161[11])∧(i6095[10] + 1 →* i6095[11]))


(11) -> (12), if ((java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11])) →* java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))∧(i6095[11] →* i6095[12])∧(java.lang.Object(ARRAY(i2[11], a20407data[11])) →* java.lang.Object(ARRAY(i2[12], a20407data[12])))∧(i6161[11] →* i6161[12]))


(12) -> (13), if ((java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])) →* java.lang.Object(java.lang.String(i7426[13], i7066[13], i7068[13], a23200[13])))∧(i6095[12] →* i6095[13])∧(i6161[12] →* i6161[13])∧(java.lang.Object(ARRAY(i2[12], a20407data[12])) →* java.lang.Object(ARRAY(i2[13], a20407data[13])))∧(i7426[12] > 0 && i6095[12] > 0 && i6095[12] < i2[12] && i6161[12] > 0 && i6095[12] + 1 > 0 →* TRUE))


(13) -> (3), if ((i6161[13] →* i6161[3])∧(java.lang.Object(ARRAY(i2[13], a20407data[13])) →* java.lang.Object(ARRAY(i2[3], a20407data[3])))∧(i6095[13] + 1 →* i6632[3]))



The set Q consists of the following terms:
Load18470(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP23853(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc23747(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(48) ItpfGraphProof (EQUIVALENT transformation)

Applied rule ItpfICap [ICap]

(49) 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): LOAD18470(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0]) → LOAD18470ARR9(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])
(1): LOAD18470ARR9(java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1]) → COND_LOAD18470ARR9(i6095[1] > 0 && i6095[1] < i2[1] && i6161[1] > 0 && i6095[1] + 1 > 0, java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])
(2): COND_LOAD18470ARR9(TRUE, java.lang.Object(ARRAY(i2[2], a20407data[2])), i6095[2], i6161[2]) → INC23747(java.lang.Object(ARRAY(i2[2], a20407data[2])), i6095[2] + 1, i6161[2])
(3): JMP23853'(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3]) → INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])
(4): LOAD18470(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4]) → LOAD18470ARR10(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4], java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4])))
(5): LOAD18470ARR10(java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5]))) → COND_LOAD18470ARR10(i7426[5] > 0 && i6095[5] > 0 && i6095[5] < i2[5] && i6161[5] > 0 && i6095[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))
(6): COND_LOAD18470ARR10(TRUE, java.lang.Object(ARRAY(i2[6], a20407data[6])), i6095[6], i6161[6], java.lang.Object(java.lang.String(i7426[6], i7066[6], i7068[6], a23200[6]))) → INC23747(java.lang.Object(ARRAY(i2[6], a20407data[6])), i6095[6] + 1, i6161[6])
(7): INC23747(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], i6161[7]) → LOAD18470(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], i6161[7] + -1)
(8): LOAD18470(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8]) → LOAD18470ARR11(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])
(9): LOAD18470ARR11(java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9]) → COND_LOAD18470ARR11(i6095[9] > 0 && i6095[9] < i2[9] && i6161[9] > 0 && i6095[9] + 1 > 0, java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])
(10): COND_LOAD18470ARR11(TRUE, java.lang.Object(ARRAY(i2[10], a20407data[10])), i6095[10], i6161[10]) → LOAD18470(java.lang.Object(ARRAY(i2[10], a20407data[10])), i6095[10] + 1, i6161[10] + -1)
(11): LOAD18470(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11]) → LOAD18470ARR13(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11], java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11])))
(12): LOAD18470ARR13(java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12]))) → COND_LOAD18470ARR13(i7426[12] > 0 && i6095[12] > 0 && i6095[12] < i2[12] && i6161[12] > 0 && i6095[12] + 1 > 0, java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))
(13): COND_LOAD18470ARR13(TRUE, java.lang.Object(ARRAY(i2[13], a20407data[13])), i6095[13], i6161[13], java.lang.Object(java.lang.String(i7426[13], i7066[13], i7068[13], a23200[13]))) → JMP23853'(java.lang.Object(ARRAY(i2[13], a20407data[13])), i6095[13] + 1, i6161[13])

(0) -> (1), if ((i6161[0] →* i6161[1])∧(i6095[0] →* i6095[1])∧((i2[0] →* i2[1])∧(a20407data[0] →* a20407data[1])))


(1) -> (2), if ((i6161[1] →* i6161[2])∧((i2[1] →* i2[2])∧(a20407data[1] →* a20407data[2]))∧(i6095[1] →* i6095[2])∧(i6095[1] > 0 && i6095[1] < i2[1] && i6161[1] > 0 && i6095[1] + 1 > 0 →* TRUE))


(2) -> (7), if (((i2[2] →* i2[7])∧(a20407data[2] →* a20407data[7]))∧(i6161[2] →* i6161[7])∧(i6095[2] + 1 →* i6632[7]))


(3) -> (7), if (((i2[3] →* i2[7])∧(a20407data[3] →* a20407data[7]))∧(i6632[3] →* i6632[7])∧(i6161[3] →* i6161[7]))


(4) -> (5), if (((i7426[4] →* i7426[5])∧(i7066[4] →* i7066[5])∧(i7068[4] →* i7068[5])∧(a23200[4] →* a23200[5]))∧(i6161[4] →* i6161[5])∧((i2[4] →* i2[5])∧(a20407data[4] →* a20407data[5]))∧(i6095[4] →* i6095[5]))


(5) -> (6), if ((i6095[5] →* i6095[6])∧((i2[5] →* i2[6])∧(a20407data[5] →* a20407data[6]))∧(i7426[5] > 0 && i6095[5] > 0 && i6095[5] < i2[5] && i6161[5] > 0 && i6095[5] + 1 > 0 →* TRUE)∧(i6161[5] →* i6161[6])∧((i7426[5] →* i7426[6])∧(i7066[5] →* i7066[6])∧(i7068[5] →* i7068[6])∧(a23200[5] →* a23200[6])))


(6) -> (7), if (((i2[6] →* i2[7])∧(a20407data[6] →* a20407data[7]))∧(i6161[6] →* i6161[7])∧(i6095[6] + 1 →* i6632[7]))


(7) -> (0), if ((i6632[7] →* i6095[0])∧(i6161[7] + -1 →* i6161[0])∧((i2[7] →* i2[0])∧(a20407data[7] →* a20407data[0])))


(7) -> (4), if (((i2[7] →* i2[4])∧(a20407data[7] →* a20407data[4]))∧(i6161[7] + -1 →* i6161[4])∧(i6632[7] →* i6095[4]))


(7) -> (8), if (((i2[7] →* i2[8])∧(a20407data[7] →* a20407data[8]))∧(i6632[7] →* i6095[8])∧(i6161[7] + -1 →* i6161[8]))


(7) -> (11), if ((i6161[7] + -1 →* i6161[11])∧((i2[7] →* i2[11])∧(a20407data[7] →* a20407data[11]))∧(i6632[7] →* i6095[11]))


(8) -> (9), if ((i6095[8] →* i6095[9])∧(i6161[8] →* i6161[9])∧((i2[8] →* i2[9])∧(a20407data[8] →* a20407data[9])))


(9) -> (10), if ((i6095[9] > 0 && i6095[9] < i2[9] && i6161[9] > 0 && i6095[9] + 1 > 0 →* TRUE)∧(i6161[9] →* i6161[10])∧((i2[9] →* i2[10])∧(a20407data[9] →* a20407data[10]))∧(i6095[9] →* i6095[10]))


(10) -> (0), if ((i6095[10] + 1 →* i6095[0])∧(i6161[10] + -1 →* i6161[0])∧((i2[10] →* i2[0])∧(a20407data[10] →* a20407data[0])))


(10) -> (4), if (((i2[10] →* i2[4])∧(a20407data[10] →* a20407data[4]))∧(i6161[10] + -1 →* i6161[4])∧(i6095[10] + 1 →* i6095[4]))


(10) -> (8), if ((i6161[10] + -1 →* i6161[8])∧(i6095[10] + 1 →* i6095[8])∧((i2[10] →* i2[8])∧(a20407data[10] →* a20407data[8])))


(10) -> (11), if (((i2[10] →* i2[11])∧(a20407data[10] →* a20407data[11]))∧(i6161[10] + -1 →* i6161[11])∧(i6095[10] + 1 →* i6095[11]))


(11) -> (12), if (((i7426[11] →* i7426[12])∧(i7066[11] →* i7066[12])∧(i7068[11] →* i7068[12])∧(a23200[11] →* a23200[12]))∧(i6095[11] →* i6095[12])∧((i2[11] →* i2[12])∧(a20407data[11] →* a20407data[12]))∧(i6161[11] →* i6161[12]))


(12) -> (13), if (((i7426[12] →* i7426[13])∧(i7066[12] →* i7066[13])∧(i7068[12] →* i7068[13])∧(a23200[12] →* a23200[13]))∧(i6095[12] →* i6095[13])∧(i6161[12] →* i6161[13])∧((i2[12] →* i2[13])∧(a20407data[12] →* a20407data[13]))∧(i7426[12] > 0 && i6095[12] > 0 && i6095[12] < i2[12] && i6161[12] > 0 && i6095[12] + 1 > 0 →* TRUE))


(13) -> (3), if ((i6161[13] →* i6161[3])∧((i2[13] →* i2[3])∧(a20407data[13] →* a20407data[3]))∧(i6095[13] + 1 →* i6632[3]))



The set Q consists of the following terms:
Load18470(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP23853(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc23747(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(50) 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 LOAD18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → LOAD18470ARR9(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) the following chains were created:
  • We consider the chain LOAD18470(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0]) → LOAD18470ARR9(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0]), LOAD18470ARR9(java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1]) → COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1]) which results in the following constraint:

    (1)    (i6161[0]=i6161[1]∧i6095[0]=i6095[1]∧i2[0]=i2[1]∧a20407data[0]=a20407data[1] ⇒ LOAD18470(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])≥NonInfC∧LOAD18470(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])≥LOAD18470ARR9(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])∧(UIncreasing(LOAD18470ARR9(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])), ≥))



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

    (2)    (LOAD18470(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])≥NonInfC∧LOAD18470(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])≥LOAD18470ARR9(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])∧(UIncreasing(LOAD18470ARR9(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])), ≥))



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

    (3)    ((UIncreasing(LOAD18470ARR9(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])), ≥)∧[1 + (-1)bso_31] ≥ 0)



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

    (4)    ((UIncreasing(LOAD18470ARR9(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])), ≥)∧[1 + (-1)bso_31] ≥ 0)



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

    (5)    ((UIncreasing(LOAD18470ARR9(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])), ≥)∧[1 + (-1)bso_31] ≥ 0)



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

    (6)    ((UIncreasing(LOAD18470ARR9(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_31] ≥ 0)







For Pair LOAD18470ARR9(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → COND_LOAD18470ARR9(&&(&&(&&(>(i6095, 0), <(i6095, i2)), >(i6161, 0)), >(+(i6095, 1), 0)), java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) the following chains were created:
  • We consider the chain LOAD18470ARR9(java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1]) → COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1]), COND_LOAD18470ARR9(TRUE, java.lang.Object(ARRAY(i2[2], a20407data[2])), i6095[2], i6161[2]) → INC23747(java.lang.Object(ARRAY(i2[2], a20407data[2])), +(i6095[2], 1), i6161[2]) which results in the following constraint:

    (7)    (i6161[1]=i6161[2]∧i2[1]=i2[2]∧a20407data[1]=a20407data[2]∧i6095[1]=i6095[2]∧&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0))=TRUE ⇒ LOAD18470ARR9(java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])≥NonInfC∧LOAD18470ARR9(java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])≥COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])∧(UIncreasing(COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])), ≥))



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

    (8)    (>(+(i6095[1], 1), 0)=TRUE∧>(i6161[1], 0)=TRUE∧>(i6095[1], 0)=TRUE∧<(i6095[1], i2[1])=TRUE ⇒ LOAD18470ARR9(java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])≥NonInfC∧LOAD18470ARR9(java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])≥COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])∧(UIncreasing(COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])), ≥))



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

    (9)    (i6095[1] ≥ 0∧i6161[1] + [-1] ≥ 0∧i6095[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i6095[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])), ≥)∧[(-1)Bound*bni_32] + [bni_32]i2[1] + [(-1)bni_32]i6095[1] ≥ 0∧[(-1)bso_33] ≥ 0)



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

    (10)    (i6095[1] ≥ 0∧i6161[1] + [-1] ≥ 0∧i6095[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i6095[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])), ≥)∧[(-1)Bound*bni_32] + [bni_32]i2[1] + [(-1)bni_32]i6095[1] ≥ 0∧[(-1)bso_33] ≥ 0)



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

    (11)    (i6095[1] ≥ 0∧i6161[1] + [-1] ≥ 0∧i6095[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i6095[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])), ≥)∧[(-1)Bound*bni_32] + [bni_32]i2[1] + [(-1)bni_32]i6095[1] ≥ 0∧[(-1)bso_33] ≥ 0)



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

    (12)    (i6095[1] ≥ 0∧i6161[1] + [-1] ≥ 0∧i6095[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i6095[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])), ≥)∧0 = 0∧[(-1)Bound*bni_32] + [bni_32]i2[1] + [(-1)bni_32]i6095[1] ≥ 0∧0 = 0∧[(-1)bso_33] ≥ 0)



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

    (13)    ([1] + i6095[1] ≥ 0∧i6161[1] + [-1] ≥ 0∧i6095[1] ≥ 0∧i2[1] + [-2] + [-1]i6095[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])), ≥)∧0 = 0∧[(-1)Bound*bni_32 + (-1)bni_32] + [bni_32]i2[1] + [(-1)bni_32]i6095[1] ≥ 0∧0 = 0∧[(-1)bso_33] ≥ 0)



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

    (14)    ([1] + i6095[1] ≥ 0∧i6161[1] ≥ 0∧i6095[1] ≥ 0∧i2[1] + [-2] + [-1]i6095[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])), ≥)∧0 = 0∧[(-1)Bound*bni_32 + (-1)bni_32] + [bni_32]i2[1] + [(-1)bni_32]i6095[1] ≥ 0∧0 = 0∧[(-1)bso_33] ≥ 0)



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

    (15)    ([1] + i6095[1] ≥ 0∧i6161[1] ≥ 0∧i6095[1] ≥ 0∧i2[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])), ≥)∧0 = 0∧[(-1)Bound*bni_32 + bni_32] + [bni_32]i2[1] ≥ 0∧0 = 0∧[(-1)bso_33] ≥ 0)







For Pair COND_LOAD18470ARR9(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → INC23747(java.lang.Object(ARRAY(i2, a20407data)), +(i6095, 1), i6161) the following chains were created:
  • We consider the chain COND_LOAD18470ARR9(TRUE, java.lang.Object(ARRAY(i2[2], a20407data[2])), i6095[2], i6161[2]) → INC23747(java.lang.Object(ARRAY(i2[2], a20407data[2])), +(i6095[2], 1), i6161[2]) which results in the following constraint:

    (16)    (COND_LOAD18470ARR9(TRUE, java.lang.Object(ARRAY(i2[2], a20407data[2])), i6095[2], i6161[2])≥NonInfC∧COND_LOAD18470ARR9(TRUE, java.lang.Object(ARRAY(i2[2], a20407data[2])), i6095[2], i6161[2])≥INC23747(java.lang.Object(ARRAY(i2[2], a20407data[2])), +(i6095[2], 1), i6161[2])∧(UIncreasing(INC23747(java.lang.Object(ARRAY(i2[2], a20407data[2])), +(i6095[2], 1), i6161[2])), ≥))



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

    (17)    ((UIncreasing(INC23747(java.lang.Object(ARRAY(i2[2], a20407data[2])), +(i6095[2], 1), i6161[2])), ≥)∧[(-1)bso_35] ≥ 0)



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

    (18)    ((UIncreasing(INC23747(java.lang.Object(ARRAY(i2[2], a20407data[2])), +(i6095[2], 1), i6161[2])), ≥)∧[(-1)bso_35] ≥ 0)



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

    (19)    ((UIncreasing(INC23747(java.lang.Object(ARRAY(i2[2], a20407data[2])), +(i6095[2], 1), i6161[2])), ≥)∧[(-1)bso_35] ≥ 0)



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

    (20)    ((UIncreasing(INC23747(java.lang.Object(ARRAY(i2[2], a20407data[2])), +(i6095[2], 1), i6161[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)







For Pair JMP23853'(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161) → INC23747(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161) the following chains were created:
  • We consider the chain JMP23853'(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3]) → INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3]), INC23747(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], i6161[7]) → LOAD18470(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], +(i6161[7], -1)) which results in the following constraint:

    (21)    (i2[3]=i2[7]∧a20407data[3]=a20407data[7]∧i6632[3]=i6632[7]∧i6161[3]=i6161[7] ⇒ JMP23853'(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])≥NonInfC∧JMP23853'(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])≥INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])∧(UIncreasing(INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])), ≥))



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

    (22)    (JMP23853'(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])≥NonInfC∧JMP23853'(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])≥INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])∧(UIncreasing(INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])), ≥))



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

    (23)    ((UIncreasing(INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])), ≥)∧[(-1)bso_37] ≥ 0)



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

    (24)    ((UIncreasing(INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])), ≥)∧[(-1)bso_37] ≥ 0)



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

    (25)    ((UIncreasing(INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])), ≥)∧[(-1)bso_37] ≥ 0)



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

    (26)    ((UIncreasing(INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)







For Pair LOAD18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → LOAD18470ARR10(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) the following chains were created:
  • We consider the chain LOAD18470(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4]) → LOAD18470ARR10(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4], java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4]))) which results in the following constraint:

    (27)    (LOAD18470(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4])≥NonInfC∧LOAD18470(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4])≥LOAD18470ARR10(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4], java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4])))∧(UIncreasing(LOAD18470ARR10(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4], java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4])))), ≥))



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

    (28)    ((UIncreasing(LOAD18470ARR10(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4], java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4])))), ≥)∧[(-1)bso_39] ≥ 0)



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

    (29)    ((UIncreasing(LOAD18470ARR10(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4], java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4])))), ≥)∧[(-1)bso_39] ≥ 0)



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

    (30)    ((UIncreasing(LOAD18470ARR10(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4], java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4])))), ≥)∧[(-1)bso_39] ≥ 0)



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

    (31)    ((UIncreasing(LOAD18470ARR10(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4], java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)







For Pair LOAD18470ARR10(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426, 0), >(i6095, 0)), <(i6095, i2)), >(i6161, 0)), >(+(i6095, 1), 0)), java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) the following chains were created:
  • We consider the chain LOAD18470ARR10(java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5]))) → COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5]))), COND_LOAD18470ARR10(TRUE, java.lang.Object(ARRAY(i2[6], a20407data[6])), i6095[6], i6161[6], java.lang.Object(java.lang.String(i7426[6], i7066[6], i7068[6], a23200[6]))) → INC23747(java.lang.Object(ARRAY(i2[6], a20407data[6])), +(i6095[6], 1), i6161[6]) which results in the following constraint:

    (32)    (i6095[5]=i6095[6]∧i2[5]=i2[6]∧a20407data[5]=a20407data[6]∧&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0))=TRUE∧i6161[5]=i6161[6]∧i7426[5]=i7426[6]∧i7066[5]=i7066[6]∧i7068[5]=i7068[6]∧a23200[5]=a23200[6] ⇒ LOAD18470ARR10(java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))≥NonInfC∧LOAD18470ARR10(java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))≥COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))∧(UIncreasing(COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))), ≥))



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

    (33)    (>(+(i6095[5], 1), 0)=TRUE∧>(i6161[5], 0)=TRUE∧<(i6095[5], i2[5])=TRUE∧>(i7426[5], 0)=TRUE∧>(i6095[5], 0)=TRUE ⇒ LOAD18470ARR10(java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))≥NonInfC∧LOAD18470ARR10(java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))≥COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))∧(UIncreasing(COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))), ≥))



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

    (34)    (i6095[5] ≥ 0∧i6161[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i6095[5] ≥ 0∧i7426[5] + [-1] ≥ 0∧i6095[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))), ≥)∧[bni_40 + (-1)Bound*bni_40] + [bni_40]i2[5] + [(-1)bni_40]i6095[5] ≥ 0∧[(-1)bso_41] ≥ 0)



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

    (35)    (i6095[5] ≥ 0∧i6161[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i6095[5] ≥ 0∧i7426[5] + [-1] ≥ 0∧i6095[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))), ≥)∧[bni_40 + (-1)Bound*bni_40] + [bni_40]i2[5] + [(-1)bni_40]i6095[5] ≥ 0∧[(-1)bso_41] ≥ 0)



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

    (36)    (i6095[5] ≥ 0∧i6161[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i6095[5] ≥ 0∧i7426[5] + [-1] ≥ 0∧i6095[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))), ≥)∧[bni_40 + (-1)Bound*bni_40] + [bni_40]i2[5] + [(-1)bni_40]i6095[5] ≥ 0∧[(-1)bso_41] ≥ 0)



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

    (37)    (i6095[5] ≥ 0∧i6161[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i6095[5] ≥ 0∧i7426[5] + [-1] ≥ 0∧i6095[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[bni_40 + (-1)Bound*bni_40] + [bni_40]i2[5] + [(-1)bni_40]i6095[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)



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

    (38)    ([1] + i6095[5] ≥ 0∧i6161[5] + [-1] ≥ 0∧i2[5] + [-2] + [-1]i6095[5] ≥ 0∧i7426[5] + [-1] ≥ 0∧i6095[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_40] + [bni_40]i2[5] + [(-1)bni_40]i6095[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)



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

    (39)    ([1] + i6095[5] ≥ 0∧i6161[5] ≥ 0∧i2[5] + [-2] + [-1]i6095[5] ≥ 0∧i7426[5] + [-1] ≥ 0∧i6095[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_40] + [bni_40]i2[5] + [(-1)bni_40]i6095[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)



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

    (40)    ([1] + i6095[5] ≥ 0∧i6161[5] ≥ 0∧i2[5] ≥ 0∧i7426[5] + [-1] ≥ 0∧i6095[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(2)bni_40 + (-1)Bound*bni_40] + [bni_40]i2[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)



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

    (41)    ([1] + i6095[5] ≥ 0∧i6161[5] ≥ 0∧i2[5] ≥ 0∧i7426[5] ≥ 0∧i6095[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(2)bni_40 + (-1)Bound*bni_40] + [bni_40]i2[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)







For Pair COND_LOAD18470ARR10(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → INC23747(java.lang.Object(ARRAY(i2, a20407data)), +(i6095, 1), i6161) the following chains were created:
  • We consider the chain COND_LOAD18470ARR10(TRUE, java.lang.Object(ARRAY(i2[6], a20407data[6])), i6095[6], i6161[6], java.lang.Object(java.lang.String(i7426[6], i7066[6], i7068[6], a23200[6]))) → INC23747(java.lang.Object(ARRAY(i2[6], a20407data[6])), +(i6095[6], 1), i6161[6]) which results in the following constraint:

    (42)    (COND_LOAD18470ARR10(TRUE, java.lang.Object(ARRAY(i2[6], a20407data[6])), i6095[6], i6161[6], java.lang.Object(java.lang.String(i7426[6], i7066[6], i7068[6], a23200[6])))≥NonInfC∧COND_LOAD18470ARR10(TRUE, java.lang.Object(ARRAY(i2[6], a20407data[6])), i6095[6], i6161[6], java.lang.Object(java.lang.String(i7426[6], i7066[6], i7068[6], a23200[6])))≥INC23747(java.lang.Object(ARRAY(i2[6], a20407data[6])), +(i6095[6], 1), i6161[6])∧(UIncreasing(INC23747(java.lang.Object(ARRAY(i2[6], a20407data[6])), +(i6095[6], 1), i6161[6])), ≥))



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

    (43)    ((UIncreasing(INC23747(java.lang.Object(ARRAY(i2[6], a20407data[6])), +(i6095[6], 1), i6161[6])), ≥)∧[1 + (-1)bso_43] ≥ 0)



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

    (44)    ((UIncreasing(INC23747(java.lang.Object(ARRAY(i2[6], a20407data[6])), +(i6095[6], 1), i6161[6])), ≥)∧[1 + (-1)bso_43] ≥ 0)



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

    (45)    ((UIncreasing(INC23747(java.lang.Object(ARRAY(i2[6], a20407data[6])), +(i6095[6], 1), i6161[6])), ≥)∧[1 + (-1)bso_43] ≥ 0)



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

    (46)    ((UIncreasing(INC23747(java.lang.Object(ARRAY(i2[6], a20407data[6])), +(i6095[6], 1), i6161[6])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_43] ≥ 0)







For Pair INC23747(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161) → LOAD18470(java.lang.Object(ARRAY(i2, a20407data)), i6632, +(i6161, -1)) the following chains were created:
  • We consider the chain INC23747(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], i6161[7]) → LOAD18470(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], +(i6161[7], -1)) which results in the following constraint:

    (47)    (INC23747(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], i6161[7])≥NonInfC∧INC23747(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], i6161[7])≥LOAD18470(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], +(i6161[7], -1))∧(UIncreasing(LOAD18470(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], +(i6161[7], -1))), ≥))



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

    (48)    ((UIncreasing(LOAD18470(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], +(i6161[7], -1))), ≥)∧[(-1)bso_45] ≥ 0)



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

    (49)    ((UIncreasing(LOAD18470(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], +(i6161[7], -1))), ≥)∧[(-1)bso_45] ≥ 0)



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

    (50)    ((UIncreasing(LOAD18470(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], +(i6161[7], -1))), ≥)∧[(-1)bso_45] ≥ 0)



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

    (51)    ((UIncreasing(LOAD18470(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], +(i6161[7], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_45] ≥ 0)







For Pair LOAD18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → LOAD18470ARR11(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) the following chains were created:
  • We consider the chain LOAD18470(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8]) → LOAD18470ARR11(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8]), LOAD18470ARR11(java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9]) → COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9]) which results in the following constraint:

    (52)    (i6095[8]=i6095[9]∧i6161[8]=i6161[9]∧i2[8]=i2[9]∧a20407data[8]=a20407data[9] ⇒ LOAD18470(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])≥NonInfC∧LOAD18470(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])≥LOAD18470ARR11(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])∧(UIncreasing(LOAD18470ARR11(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])), ≥))



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

    (53)    (LOAD18470(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])≥NonInfC∧LOAD18470(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])≥LOAD18470ARR11(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])∧(UIncreasing(LOAD18470ARR11(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])), ≥))



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

    (54)    ((UIncreasing(LOAD18470ARR11(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])), ≥)∧[1 + (-1)bso_47] ≥ 0)



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

    (55)    ((UIncreasing(LOAD18470ARR11(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])), ≥)∧[1 + (-1)bso_47] ≥ 0)



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

    (56)    ((UIncreasing(LOAD18470ARR11(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])), ≥)∧[1 + (-1)bso_47] ≥ 0)



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

    (57)    ((UIncreasing(LOAD18470ARR11(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_47] ≥ 0)







For Pair LOAD18470ARR11(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → COND_LOAD18470ARR11(&&(&&(&&(>(i6095, 0), <(i6095, i2)), >(i6161, 0)), >(+(i6095, 1), 0)), java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) the following chains were created:
  • We consider the chain LOAD18470ARR11(java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9]) → COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9]), COND_LOAD18470ARR11(TRUE, java.lang.Object(ARRAY(i2[10], a20407data[10])), i6095[10], i6161[10]) → LOAD18470(java.lang.Object(ARRAY(i2[10], a20407data[10])), +(i6095[10], 1), +(i6161[10], -1)) which results in the following constraint:

    (58)    (&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0))=TRUE∧i6161[9]=i6161[10]∧i2[9]=i2[10]∧a20407data[9]=a20407data[10]∧i6095[9]=i6095[10] ⇒ LOAD18470ARR11(java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])≥NonInfC∧LOAD18470ARR11(java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])≥COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])∧(UIncreasing(COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])), ≥))



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

    (59)    (>(+(i6095[9], 1), 0)=TRUE∧>(i6161[9], 0)=TRUE∧>(i6095[9], 0)=TRUE∧<(i6095[9], i2[9])=TRUE ⇒ LOAD18470ARR11(java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])≥NonInfC∧LOAD18470ARR11(java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])≥COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])∧(UIncreasing(COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])), ≥))



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

    (60)    (i6095[9] ≥ 0∧i6161[9] + [-1] ≥ 0∧i6095[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i6095[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])), ≥)∧[(-1)Bound*bni_48] + [(-1)bni_48]i6095[9] + [bni_48]i2[9] ≥ 0∧[(-1)bso_49] ≥ 0)



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

    (61)    (i6095[9] ≥ 0∧i6161[9] + [-1] ≥ 0∧i6095[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i6095[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])), ≥)∧[(-1)Bound*bni_48] + [(-1)bni_48]i6095[9] + [bni_48]i2[9] ≥ 0∧[(-1)bso_49] ≥ 0)



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

    (62)    (i6095[9] ≥ 0∧i6161[9] + [-1] ≥ 0∧i6095[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i6095[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])), ≥)∧[(-1)Bound*bni_48] + [(-1)bni_48]i6095[9] + [bni_48]i2[9] ≥ 0∧[(-1)bso_49] ≥ 0)



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

    (63)    (i6095[9] ≥ 0∧i6161[9] + [-1] ≥ 0∧i6095[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i6095[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])), ≥)∧0 = 0∧[(-1)Bound*bni_48] + [(-1)bni_48]i6095[9] + [bni_48]i2[9] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)



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

    (64)    ([1] + i6095[9] ≥ 0∧i6161[9] + [-1] ≥ 0∧i6095[9] ≥ 0∧i2[9] + [-2] + [-1]i6095[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])), ≥)∧0 = 0∧[(-1)Bound*bni_48 + (-1)bni_48] + [(-1)bni_48]i6095[9] + [bni_48]i2[9] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)



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

    (65)    ([1] + i6095[9] ≥ 0∧i6161[9] ≥ 0∧i6095[9] ≥ 0∧i2[9] + [-2] + [-1]i6095[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])), ≥)∧0 = 0∧[(-1)Bound*bni_48 + (-1)bni_48] + [(-1)bni_48]i6095[9] + [bni_48]i2[9] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)



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

    (66)    ([1] + i6095[9] ≥ 0∧i6161[9] ≥ 0∧i6095[9] ≥ 0∧i2[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])), ≥)∧0 = 0∧[(-1)Bound*bni_48 + bni_48] + [bni_48]i2[9] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)







For Pair COND_LOAD18470ARR11(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → LOAD18470(java.lang.Object(ARRAY(i2, a20407data)), +(i6095, 1), +(i6161, -1)) the following chains were created:
  • We consider the chain COND_LOAD18470ARR11(TRUE, java.lang.Object(ARRAY(i2[10], a20407data[10])), i6095[10], i6161[10]) → LOAD18470(java.lang.Object(ARRAY(i2[10], a20407data[10])), +(i6095[10], 1), +(i6161[10], -1)) which results in the following constraint:

    (67)    (COND_LOAD18470ARR11(TRUE, java.lang.Object(ARRAY(i2[10], a20407data[10])), i6095[10], i6161[10])≥NonInfC∧COND_LOAD18470ARR11(TRUE, java.lang.Object(ARRAY(i2[10], a20407data[10])), i6095[10], i6161[10])≥LOAD18470(java.lang.Object(ARRAY(i2[10], a20407data[10])), +(i6095[10], 1), +(i6161[10], -1))∧(UIncreasing(LOAD18470(java.lang.Object(ARRAY(i2[10], a20407data[10])), +(i6095[10], 1), +(i6161[10], -1))), ≥))



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

    (68)    ((UIncreasing(LOAD18470(java.lang.Object(ARRAY(i2[10], a20407data[10])), +(i6095[10], 1), +(i6161[10], -1))), ≥)∧[(-1)bso_51] ≥ 0)



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

    (69)    ((UIncreasing(LOAD18470(java.lang.Object(ARRAY(i2[10], a20407data[10])), +(i6095[10], 1), +(i6161[10], -1))), ≥)∧[(-1)bso_51] ≥ 0)



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

    (70)    ((UIncreasing(LOAD18470(java.lang.Object(ARRAY(i2[10], a20407data[10])), +(i6095[10], 1), +(i6161[10], -1))), ≥)∧[(-1)bso_51] ≥ 0)



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

    (71)    ((UIncreasing(LOAD18470(java.lang.Object(ARRAY(i2[10], a20407data[10])), +(i6095[10], 1), +(i6161[10], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_51] ≥ 0)







For Pair LOAD18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → LOAD18470ARR13(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) the following chains were created:
  • We consider the chain LOAD18470(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11]) → LOAD18470ARR13(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11], java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11]))) which results in the following constraint:

    (72)    (LOAD18470(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11])≥NonInfC∧LOAD18470(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11])≥LOAD18470ARR13(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11], java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11])))∧(UIncreasing(LOAD18470ARR13(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11], java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11])))), ≥))



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

    (73)    ((UIncreasing(LOAD18470ARR13(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11], java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11])))), ≥)∧[(-1)bso_53] ≥ 0)



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

    (74)    ((UIncreasing(LOAD18470ARR13(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11], java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11])))), ≥)∧[(-1)bso_53] ≥ 0)



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

    (75)    ((UIncreasing(LOAD18470ARR13(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11], java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11])))), ≥)∧[(-1)bso_53] ≥ 0)



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

    (76)    ((UIncreasing(LOAD18470ARR13(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11], java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_53] ≥ 0)







For Pair LOAD18470ARR13(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426, 0), >(i6095, 0)), <(i6095, i2)), >(i6161, 0)), >(+(i6095, 1), 0)), java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) the following chains were created:
  • We consider the chain LOAD18470ARR13(java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12]))) → COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12]))), COND_LOAD18470ARR13(TRUE, java.lang.Object(ARRAY(i2[13], a20407data[13])), i6095[13], i6161[13], java.lang.Object(java.lang.String(i7426[13], i7066[13], i7068[13], a23200[13]))) → JMP23853'(java.lang.Object(ARRAY(i2[13], a20407data[13])), +(i6095[13], 1), i6161[13]) which results in the following constraint:

    (77)    (i7426[12]=i7426[13]∧i7066[12]=i7066[13]∧i7068[12]=i7068[13]∧a23200[12]=a23200[13]∧i6095[12]=i6095[13]∧i6161[12]=i6161[13]∧i2[12]=i2[13]∧a20407data[12]=a20407data[13]∧&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0))=TRUE ⇒ LOAD18470ARR13(java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))≥NonInfC∧LOAD18470ARR13(java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))≥COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))∧(UIncreasing(COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))), ≥))



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

    (78)    (>(+(i6095[12], 1), 0)=TRUE∧>(i6161[12], 0)=TRUE∧<(i6095[12], i2[12])=TRUE∧>(i7426[12], 0)=TRUE∧>(i6095[12], 0)=TRUE ⇒ LOAD18470ARR13(java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))≥NonInfC∧LOAD18470ARR13(java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))≥COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))∧(UIncreasing(COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))), ≥))



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

    (79)    (i6095[12] ≥ 0∧i6161[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i6095[12] ≥ 0∧i7426[12] + [-1] ≥ 0∧i6095[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))), ≥)∧[bni_54 + (-1)Bound*bni_54] + [(-1)bni_54]i6095[12] + [bni_54]i2[12] ≥ 0∧[(-1)bso_55] ≥ 0)



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

    (80)    (i6095[12] ≥ 0∧i6161[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i6095[12] ≥ 0∧i7426[12] + [-1] ≥ 0∧i6095[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))), ≥)∧[bni_54 + (-1)Bound*bni_54] + [(-1)bni_54]i6095[12] + [bni_54]i2[12] ≥ 0∧[(-1)bso_55] ≥ 0)



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

    (81)    (i6095[12] ≥ 0∧i6161[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i6095[12] ≥ 0∧i7426[12] + [-1] ≥ 0∧i6095[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))), ≥)∧[bni_54 + (-1)Bound*bni_54] + [(-1)bni_54]i6095[12] + [bni_54]i2[12] ≥ 0∧[(-1)bso_55] ≥ 0)



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

    (82)    (i6095[12] ≥ 0∧i6161[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i6095[12] ≥ 0∧i7426[12] + [-1] ≥ 0∧i6095[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[bni_54 + (-1)Bound*bni_54] + [(-1)bni_54]i6095[12] + [bni_54]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_55] ≥ 0)



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

    (83)    ([1] + i6095[12] ≥ 0∧i6161[12] + [-1] ≥ 0∧i2[12] + [-2] + [-1]i6095[12] ≥ 0∧i7426[12] + [-1] ≥ 0∧i6095[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_54] + [(-1)bni_54]i6095[12] + [bni_54]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_55] ≥ 0)



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

    (84)    ([1] + i6095[12] ≥ 0∧i6161[12] ≥ 0∧i2[12] + [-2] + [-1]i6095[12] ≥ 0∧i7426[12] + [-1] ≥ 0∧i6095[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_54] + [(-1)bni_54]i6095[12] + [bni_54]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_55] ≥ 0)



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

    (85)    ([1] + i6095[12] ≥ 0∧i6161[12] ≥ 0∧i2[12] ≥ 0∧i7426[12] + [-1] ≥ 0∧i6095[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_54 + (2)bni_54] + [bni_54]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_55] ≥ 0)



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

    (86)    ([1] + i6095[12] ≥ 0∧i6161[12] ≥ 0∧i2[12] ≥ 0∧i7426[12] ≥ 0∧i6095[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_54 + (2)bni_54] + [bni_54]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_55] ≥ 0)







For Pair COND_LOAD18470ARR13(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → JMP23853'(java.lang.Object(ARRAY(i2, a20407data)), +(i6095, 1), i6161) the following chains were created:
  • We consider the chain COND_LOAD18470ARR13(TRUE, java.lang.Object(ARRAY(i2[13], a20407data[13])), i6095[13], i6161[13], java.lang.Object(java.lang.String(i7426[13], i7066[13], i7068[13], a23200[13]))) → JMP23853'(java.lang.Object(ARRAY(i2[13], a20407data[13])), +(i6095[13], 1), i6161[13]) which results in the following constraint:

    (87)    (COND_LOAD18470ARR13(TRUE, java.lang.Object(ARRAY(i2[13], a20407data[13])), i6095[13], i6161[13], java.lang.Object(java.lang.String(i7426[13], i7066[13], i7068[13], a23200[13])))≥NonInfC∧COND_LOAD18470ARR13(TRUE, java.lang.Object(ARRAY(i2[13], a20407data[13])), i6095[13], i6161[13], java.lang.Object(java.lang.String(i7426[13], i7066[13], i7068[13], a23200[13])))≥JMP23853'(java.lang.Object(ARRAY(i2[13], a20407data[13])), +(i6095[13], 1), i6161[13])∧(UIncreasing(JMP23853'(java.lang.Object(ARRAY(i2[13], a20407data[13])), +(i6095[13], 1), i6161[13])), ≥))



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

    (88)    ((UIncreasing(JMP23853'(java.lang.Object(ARRAY(i2[13], a20407data[13])), +(i6095[13], 1), i6161[13])), ≥)∧[1 + (-1)bso_57] ≥ 0)



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

    (89)    ((UIncreasing(JMP23853'(java.lang.Object(ARRAY(i2[13], a20407data[13])), +(i6095[13], 1), i6161[13])), ≥)∧[1 + (-1)bso_57] ≥ 0)



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

    (90)    ((UIncreasing(JMP23853'(java.lang.Object(ARRAY(i2[13], a20407data[13])), +(i6095[13], 1), i6161[13])), ≥)∧[1 + (-1)bso_57] ≥ 0)



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

    (91)    ((UIncreasing(JMP23853'(java.lang.Object(ARRAY(i2[13], a20407data[13])), +(i6095[13], 1), i6161[13])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_57] ≥ 0)







To summarize, we get the following constraints P≥ for the following pairs.
  • LOAD18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → LOAD18470ARR9(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
    • ((UIncreasing(LOAD18470ARR9(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_31] ≥ 0)

  • LOAD18470ARR9(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → COND_LOAD18470ARR9(&&(&&(&&(>(i6095, 0), <(i6095, i2)), >(i6161, 0)), >(+(i6095, 1), 0)), java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
    • ([1] + i6095[1] ≥ 0∧i6161[1] ≥ 0∧i6095[1] ≥ 0∧i2[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])), ≥)∧0 = 0∧[(-1)Bound*bni_32 + bni_32] + [bni_32]i2[1] ≥ 0∧0 = 0∧[(-1)bso_33] ≥ 0)

  • COND_LOAD18470ARR9(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → INC23747(java.lang.Object(ARRAY(i2, a20407data)), +(i6095, 1), i6161)
    • ((UIncreasing(INC23747(java.lang.Object(ARRAY(i2[2], a20407data[2])), +(i6095[2], 1), i6161[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

  • JMP23853'(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161) → INC23747(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161)
    • ((UIncreasing(INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_37] ≥ 0)

  • LOAD18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → LOAD18470ARR10(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
    • ((UIncreasing(LOAD18470ARR10(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4], java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)

  • LOAD18470ARR10(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426, 0), >(i6095, 0)), <(i6095, i2)), >(i6161, 0)), >(+(i6095, 1), 0)), java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
    • ([1] + i6095[5] ≥ 0∧i6161[5] ≥ 0∧i2[5] ≥ 0∧i7426[5] ≥ 0∧i6095[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(2)bni_40 + (-1)Bound*bni_40] + [bni_40]i2[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)

  • COND_LOAD18470ARR10(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → INC23747(java.lang.Object(ARRAY(i2, a20407data)), +(i6095, 1), i6161)
    • ((UIncreasing(INC23747(java.lang.Object(ARRAY(i2[6], a20407data[6])), +(i6095[6], 1), i6161[6])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_43] ≥ 0)

  • INC23747(java.lang.Object(ARRAY(i2, a20407data)), i6632, i6161) → LOAD18470(java.lang.Object(ARRAY(i2, a20407data)), i6632, +(i6161, -1))
    • ((UIncreasing(LOAD18470(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], +(i6161[7], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_45] ≥ 0)

  • LOAD18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → LOAD18470ARR11(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
    • ((UIncreasing(LOAD18470ARR11(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_47] ≥ 0)

  • LOAD18470ARR11(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → COND_LOAD18470ARR11(&&(&&(&&(>(i6095, 0), <(i6095, i2)), >(i6161, 0)), >(+(i6095, 1), 0)), java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161)
    • ([1] + i6095[9] ≥ 0∧i6161[9] ≥ 0∧i6095[9] ≥ 0∧i2[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])), ≥)∧0 = 0∧[(-1)Bound*bni_48 + bni_48] + [bni_48]i2[9] ≥ 0∧0 = 0∧[(-1)bso_49] ≥ 0)

  • COND_LOAD18470ARR11(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → LOAD18470(java.lang.Object(ARRAY(i2, a20407data)), +(i6095, 1), +(i6161, -1))
    • ((UIncreasing(LOAD18470(java.lang.Object(ARRAY(i2[10], a20407data[10])), +(i6095[10], 1), +(i6161[10], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_51] ≥ 0)

  • LOAD18470(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161) → LOAD18470ARR13(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
    • ((UIncreasing(LOAD18470ARR13(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11], java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_53] ≥ 0)

  • LOAD18470ARR13(java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426, 0), >(i6095, 0)), <(i6095, i2)), >(i6161, 0)), >(+(i6095, 1), 0)), java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200)))
    • ([1] + i6095[12] ≥ 0∧i6161[12] ≥ 0∧i2[12] ≥ 0∧i7426[12] ≥ 0∧i6095[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_54 + (2)bni_54] + [bni_54]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_55] ≥ 0)

  • COND_LOAD18470ARR13(TRUE, java.lang.Object(ARRAY(i2, a20407data)), i6095, i6161, java.lang.Object(java.lang.String(i7426, i7066, i7068, a23200))) → JMP23853'(java.lang.Object(ARRAY(i2, a20407data)), +(i6095, 1), i6161)
    • ((UIncreasing(JMP23853'(java.lang.Object(ARRAY(i2[13], a20407data[13])), +(i6095[13], 1), i6161[13])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_57] ≥ 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(LOAD18470(x1, x2, x3)) = [-1]x1 + [-1]x2   
POL(java.lang.Object(x1)) = x1   
POL(ARRAY(x1, x2)) = [-1] + [-1]x1   
POL(LOAD18470ARR9(x1, x2, x3)) = [-1] + [-1]x1 + [-1]x2   
POL(COND_LOAD18470ARR9(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(INC23747(x1, x2, x3)) = [-1]x2 + [-1]x1   
POL(JMP23853'(x1, x2, x3)) = [-1]x2 + [-1]x1   
POL(LOAD18470ARR10(x1, x2, x3, x4)) = [-1] + [-1]x4 + [-1]x1 + [-1]x2   
POL(java.lang.String(x1, x2, x3, x4)) = [-1]   
POL(COND_LOAD18470ARR10(x1, x2, x3, x4, x5)) = [-1] + [-1]x5 + [-1]x2 + [-1]x3   
POL(-1) = [-1]   
POL(LOAD18470ARR11(x1, x2, x3)) = [-1] + [-1]x2 + [-1]x1   
POL(COND_LOAD18470ARR11(x1, x2, x3, x4)) = [-1] + [-1]x3 + [-1]x2   
POL(LOAD18470ARR13(x1, x2, x3, x4)) = [-1] + [-1]x4 + [-1]x2 + [-1]x1   
POL(COND_LOAD18470ARR13(x1, x2, x3, x4, x5)) = [-1] + [-1]x5 + [-1]x3 + [-1]x2   

The following pairs are in P>:

LOAD18470(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0]) → LOAD18470ARR9(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])
COND_LOAD18470ARR10(TRUE, java.lang.Object(ARRAY(i2[6], a20407data[6])), i6095[6], i6161[6], java.lang.Object(java.lang.String(i7426[6], i7066[6], i7068[6], a23200[6]))) → INC23747(java.lang.Object(ARRAY(i2[6], a20407data[6])), +(i6095[6], 1), i6161[6])
LOAD18470(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8]) → LOAD18470ARR11(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])
COND_LOAD18470ARR13(TRUE, java.lang.Object(ARRAY(i2[13], a20407data[13])), i6095[13], i6161[13], java.lang.Object(java.lang.String(i7426[13], i7066[13], i7068[13], a23200[13]))) → JMP23853'(java.lang.Object(ARRAY(i2[13], a20407data[13])), +(i6095[13], 1), i6161[13])

The following pairs are in Pbound:

LOAD18470ARR9(java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1]) → COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])
LOAD18470ARR10(java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5]))) → COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))
LOAD18470ARR11(java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9]) → COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])
LOAD18470ARR13(java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12]))) → COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))

The following pairs are in P≥:

LOAD18470ARR9(java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1]) → COND_LOAD18470ARR9(&&(&&(&&(>(i6095[1], 0), <(i6095[1], i2[1])), >(i6161[1], 0)), >(+(i6095[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])
COND_LOAD18470ARR9(TRUE, java.lang.Object(ARRAY(i2[2], a20407data[2])), i6095[2], i6161[2]) → INC23747(java.lang.Object(ARRAY(i2[2], a20407data[2])), +(i6095[2], 1), i6161[2])
JMP23853'(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3]) → INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])
LOAD18470(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4]) → LOAD18470ARR10(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4], java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4])))
LOAD18470ARR10(java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5]))) → COND_LOAD18470ARR10(&&(&&(&&(&&(>(i7426[5], 0), >(i6095[5], 0)), <(i6095[5], i2[5])), >(i6161[5], 0)), >(+(i6095[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))
INC23747(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], i6161[7]) → LOAD18470(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], +(i6161[7], -1))
LOAD18470ARR11(java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9]) → COND_LOAD18470ARR11(&&(&&(&&(>(i6095[9], 0), <(i6095[9], i2[9])), >(i6161[9], 0)), >(+(i6095[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])
COND_LOAD18470ARR11(TRUE, java.lang.Object(ARRAY(i2[10], a20407data[10])), i6095[10], i6161[10]) → LOAD18470(java.lang.Object(ARRAY(i2[10], a20407data[10])), +(i6095[10], 1), +(i6161[10], -1))
LOAD18470(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11]) → LOAD18470ARR13(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11], java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11])))
LOAD18470ARR13(java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12]))) → COND_LOAD18470ARR13(&&(&&(&&(&&(>(i7426[12], 0), >(i6095[12], 0)), <(i6095[12], i2[12])), >(i6161[12], 0)), >(+(i6095[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))

There are no usable rules.

(51) Complex Obligation (AND)

(52) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean


The following domains are used:

Boolean, Integer


R is empty.

The integer pair graph contains the following rules and edges:
(1): LOAD18470ARR9(java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1]) → COND_LOAD18470ARR9(i6095[1] > 0 && i6095[1] < i2[1] && i6161[1] > 0 && i6095[1] + 1 > 0, java.lang.Object(ARRAY(i2[1], a20407data[1])), i6095[1], i6161[1])
(2): COND_LOAD18470ARR9(TRUE, java.lang.Object(ARRAY(i2[2], a20407data[2])), i6095[2], i6161[2]) → INC23747(java.lang.Object(ARRAY(i2[2], a20407data[2])), i6095[2] + 1, i6161[2])
(3): JMP23853'(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3]) → INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])
(4): LOAD18470(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4]) → LOAD18470ARR10(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4], java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4])))
(5): LOAD18470ARR10(java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5]))) → COND_LOAD18470ARR10(i7426[5] > 0 && i6095[5] > 0 && i6095[5] < i2[5] && i6161[5] > 0 && i6095[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a20407data[5])), i6095[5], i6161[5], java.lang.Object(java.lang.String(i7426[5], i7066[5], i7068[5], a23200[5])))
(7): INC23747(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], i6161[7]) → LOAD18470(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], i6161[7] + -1)
(9): LOAD18470ARR11(java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9]) → COND_LOAD18470ARR11(i6095[9] > 0 && i6095[9] < i2[9] && i6161[9] > 0 && i6095[9] + 1 > 0, java.lang.Object(ARRAY(i2[9], a20407data[9])), i6095[9], i6161[9])
(10): COND_LOAD18470ARR11(TRUE, java.lang.Object(ARRAY(i2[10], a20407data[10])), i6095[10], i6161[10]) → LOAD18470(java.lang.Object(ARRAY(i2[10], a20407data[10])), i6095[10] + 1, i6161[10] + -1)
(11): LOAD18470(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11]) → LOAD18470ARR13(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11], java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11])))
(12): LOAD18470ARR13(java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12]))) → COND_LOAD18470ARR13(i7426[12] > 0 && i6095[12] > 0 && i6095[12] < i2[12] && i6161[12] > 0 && i6095[12] + 1 > 0, java.lang.Object(ARRAY(i2[12], a20407data[12])), i6095[12], i6161[12], java.lang.Object(java.lang.String(i7426[12], i7066[12], i7068[12], a23200[12])))

(1) -> (2), if ((i6161[1] →* i6161[2])∧((i2[1] →* i2[2])∧(a20407data[1] →* a20407data[2]))∧(i6095[1] →* i6095[2])∧(i6095[1] > 0 && i6095[1] < i2[1] && i6161[1] > 0 && i6095[1] + 1 > 0 →* TRUE))


(7) -> (4), if (((i2[7] →* i2[4])∧(a20407data[7] →* a20407data[4]))∧(i6161[7] + -1 →* i6161[4])∧(i6632[7] →* i6095[4]))


(10) -> (4), if (((i2[10] →* i2[4])∧(a20407data[10] →* a20407data[4]))∧(i6161[10] + -1 →* i6161[4])∧(i6095[10] + 1 →* i6095[4]))


(4) -> (5), if (((i7426[4] →* i7426[5])∧(i7066[4] →* i7066[5])∧(i7068[4] →* i7068[5])∧(a23200[4] →* a23200[5]))∧(i6161[4] →* i6161[5])∧((i2[4] →* i2[5])∧(a20407data[4] →* a20407data[5]))∧(i6095[4] →* i6095[5]))


(2) -> (7), if (((i2[2] →* i2[7])∧(a20407data[2] →* a20407data[7]))∧(i6161[2] →* i6161[7])∧(i6095[2] + 1 →* i6632[7]))


(3) -> (7), if (((i2[3] →* i2[7])∧(a20407data[3] →* a20407data[7]))∧(i6632[3] →* i6632[7])∧(i6161[3] →* i6161[7]))


(9) -> (10), if ((i6095[9] > 0 && i6095[9] < i2[9] && i6161[9] > 0 && i6095[9] + 1 > 0 →* TRUE)∧(i6161[9] →* i6161[10])∧((i2[9] →* i2[10])∧(a20407data[9] →* a20407data[10]))∧(i6095[9] →* i6095[10]))


(7) -> (11), if ((i6161[7] + -1 →* i6161[11])∧((i2[7] →* i2[11])∧(a20407data[7] →* a20407data[11]))∧(i6632[7] →* i6095[11]))


(10) -> (11), if (((i2[10] →* i2[11])∧(a20407data[10] →* a20407data[11]))∧(i6161[10] + -1 →* i6161[11])∧(i6095[10] + 1 →* i6095[11]))


(11) -> (12), if (((i7426[11] →* i7426[12])∧(i7066[11] →* i7066[12])∧(i7068[11] →* i7068[12])∧(a23200[11] →* a23200[12]))∧(i6095[11] →* i6095[12])∧((i2[11] →* i2[12])∧(a20407data[11] →* a20407data[12]))∧(i6161[11] →* i6161[12]))



The set Q consists of the following terms:
Load18470(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP23853(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc23747(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(53) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 10 less nodes.

(54) TRUE

(55) 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): LOAD18470(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0]) → LOAD18470ARR9(java.lang.Object(ARRAY(i2[0], a20407data[0])), i6095[0], i6161[0])
(2): COND_LOAD18470ARR9(TRUE, java.lang.Object(ARRAY(i2[2], a20407data[2])), i6095[2], i6161[2]) → INC23747(java.lang.Object(ARRAY(i2[2], a20407data[2])), i6095[2] + 1, i6161[2])
(3): JMP23853'(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3]) → INC23747(java.lang.Object(ARRAY(i2[3], a20407data[3])), i6632[3], i6161[3])
(4): LOAD18470(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4]) → LOAD18470ARR10(java.lang.Object(ARRAY(i2[4], a20407data[4])), i6095[4], i6161[4], java.lang.Object(java.lang.String(i7426[4], i7066[4], i7068[4], a23200[4])))
(6): COND_LOAD18470ARR10(TRUE, java.lang.Object(ARRAY(i2[6], a20407data[6])), i6095[6], i6161[6], java.lang.Object(java.lang.String(i7426[6], i7066[6], i7068[6], a23200[6]))) → INC23747(java.lang.Object(ARRAY(i2[6], a20407data[6])), i6095[6] + 1, i6161[6])
(7): INC23747(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], i6161[7]) → LOAD18470(java.lang.Object(ARRAY(i2[7], a20407data[7])), i6632[7], i6161[7] + -1)
(8): LOAD18470(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8]) → LOAD18470ARR11(java.lang.Object(ARRAY(i2[8], a20407data[8])), i6095[8], i6161[8])
(10): COND_LOAD18470ARR11(TRUE, java.lang.Object(ARRAY(i2[10], a20407data[10])), i6095[10], i6161[10]) → LOAD18470(java.lang.Object(ARRAY(i2[10], a20407data[10])), i6095[10] + 1, i6161[10] + -1)
(11): LOAD18470(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11]) → LOAD18470ARR13(java.lang.Object(ARRAY(i2[11], a20407data[11])), i6095[11], i6161[11], java.lang.Object(java.lang.String(i7426[11], i7066[11], i7068[11], a23200[11])))
(13): COND_LOAD18470ARR13(TRUE, java.lang.Object(ARRAY(i2[13], a20407data[13])), i6095[13], i6161[13], java.lang.Object(java.lang.String(i7426[13], i7066[13], i7068[13], a23200[13]))) → JMP23853'(java.lang.Object(ARRAY(i2[13], a20407data[13])), i6095[13] + 1, i6161[13])

(7) -> (0), if ((i6632[7] →* i6095[0])∧(i6161[7] + -1 →* i6161[0])∧((i2[7] →* i2[0])∧(a20407data[7] →* a20407data[0])))


(10) -> (0), if ((i6095[10] + 1 →* i6095[0])∧(i6161[10] + -1 →* i6161[0])∧((i2[10] →* i2[0])∧(a20407data[10] →* a20407data[0])))


(13) -> (3), if ((i6161[13] →* i6161[3])∧((i2[13] →* i2[3])∧(a20407data[13] →* a20407data[3]))∧(i6095[13] + 1 →* i6632[3]))


(7) -> (4), if (((i2[7] →* i2[4])∧(a20407data[7] →* a20407data[4]))∧(i6161[7] + -1 →* i6161[4])∧(i6632[7] →* i6095[4]))


(10) -> (4), if (((i2[10] →* i2[4])∧(a20407data[10] →* a20407data[4]))∧(i6161[10] + -1 →* i6161[4])∧(i6095[10] + 1 →* i6095[4]))


(2) -> (7), if (((i2[2] →* i2[7])∧(a20407data[2] →* a20407data[7]))∧(i6161[2] →* i6161[7])∧(i6095[2] + 1 →* i6632[7]))


(3) -> (7), if (((i2[3] →* i2[7])∧(a20407data[3] →* a20407data[7]))∧(i6632[3] →* i6632[7])∧(i6161[3] →* i6161[7]))


(6) -> (7), if (((i2[6] →* i2[7])∧(a20407data[6] →* a20407data[7]))∧(i6161[6] →* i6161[7])∧(i6095[6] + 1 →* i6632[7]))


(7) -> (8), if (((i2[7] →* i2[8])∧(a20407data[7] →* a20407data[8]))∧(i6632[7] →* i6095[8])∧(i6161[7] + -1 →* i6161[8]))


(10) -> (8), if ((i6161[10] + -1 →* i6161[8])∧(i6095[10] + 1 →* i6095[8])∧((i2[10] →* i2[8])∧(a20407data[10] →* a20407data[8])))


(7) -> (11), if ((i6161[7] + -1 →* i6161[11])∧((i2[7] →* i2[11])∧(a20407data[7] →* a20407data[11]))∧(i6632[7] →* i6095[11]))


(10) -> (11), if (((i2[10] →* i2[11])∧(a20407data[10] →* a20407data[11]))∧(i6161[10] + -1 →* i6161[11])∧(i6095[10] + 1 →* i6095[11]))



The set Q consists of the following terms:
Load18470(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR9(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR9(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP23853(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR10(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR10(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc23747(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR11(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load18470ARR11(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load18470ARR13(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load18470ARR13(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(56) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 10 less nodes.

(57) TRUE

(58) 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:
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC)))) → Load15633ARR17(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Load15633ARR17(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → Cond_Load15633ARR17(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Cond_Load15633ARR17(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)))
JMP19898(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2))) → Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2)))
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2)), o20744, o20745))) → Load15633ARR18(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2)), o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR18(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2)), o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR18(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2)), o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR18(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2)), o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2)))
Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2))) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153 + -1, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2)))
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2)), o20738))) → Load15633ARR19(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2)), o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Load15633ARR19(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2)), o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → Cond_Load15633ARR19(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2)), o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Cond_Load15633ARR19(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2)), o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153 + -1, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2)))
Inc22738(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC)))) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153 + -1, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))))
JMP22518(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC)))) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153 + -1, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))))
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, NULL, o20738))) → Load15633ARR20(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, NULL, o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Load15633ARR20(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → Cond_Load15633ARR20(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Cond_Load15633ARR20(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153 + -1, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))))
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC)))) → Load15633ARR21(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR21(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR21(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR21(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → JMP19898(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153, java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)))
JMP22552(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC)))) → Inc22738(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))))
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o20744, o20745))) → Load15633ARR22(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR22(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR22(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR22(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Inc22738(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))))
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, NULL, java.lang.Object(EOC))), java.lang.Object(Tree(o17421, NULL, java.lang.Object(EOC)))) → Load15633ARR23(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, NULL, java.lang.Object(EOC))), java.lang.Object(Tree(o17421, NULL, java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Load15633ARR23(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o17421, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → Cond_Load15633ARR23(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o17421, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Cond_Load15633ARR23(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o17421, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → JMP22518(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(Tree(o17421, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))))
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(NULL, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o17422, java.lang.Object(EOC)))) → Load15633ARR24(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(NULL, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR24(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR24(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR24(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → JMP22552(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o17422, java.lang.Object(EOC))))
The set Q consists of the following terms:
Load15633ARR17(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_Load15633ARR17(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)))
JMP19898(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)))
Load15633(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)))
Load15633ARR18(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_Load15633ARR18(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)))
Inc19833(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)))
Load15633(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)))
Load15633ARR19(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_Load15633ARR19(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)))
Inc22738(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))))
JMP22518(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))))
Load15633(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)))
Load15633ARR20(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_Load15633ARR20(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)))
Load15633ARR21(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_Load15633ARR21(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)))
JMP22552(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))))
Load15633(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)))
Load15633ARR22(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_Load15633ARR22(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)))
Load15633ARR23(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_Load15633ARR23(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)))
Load15633ARR24(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_Load15633ARR24(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)))

(59) DuplicateArgsRemoverProof (EQUIVALENT transformation)

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

JMP22552(x1, x2, x3, x4, x5) → JMP22552(x1, x2, x3, x5)
Cond_Load15633ARR24(x1, x2, x3, x4, x5, x6, x7) → Cond_Load15633ARR24(x1, x2, x3, x4, x6, x7)
Load15633ARR24(x1, x2, x3, x4, x5, x6) → Load15633ARR24(x1, x2, x3, x5, x6)
JMP22518(x1, x2, x3, x4, x5) → JMP22518(x1, x2, x3, x5)
Cond_Load15633ARR23(x1, x2, x3, x4, x5, x6, x7) → Cond_Load15633ARR23(x1, x2, x3, x4, x6, x7)
Load15633ARR23(x1, x2, x3, x4, x5, x6) → Load15633ARR23(x1, x2, x3, x5, x6)
Inc22738(x1, x2, x3, x4, x5) → Inc22738(x1, x2, x3, x5)
Cond_Load15633ARR21(x1, x2, x3, x4, x5, x6, x7) → Cond_Load15633ARR21(x1, x2, x3, x4, x6, x7)
Load15633ARR21(x1, x2, x3, x4, x5, x6) → Load15633ARR21(x1, x2, x3, x5, x6)
Cond_Load15633ARR17(x1, x2, x3, x4, x5, x6, x7) → Cond_Load15633ARR17(x1, x2, x3, x4, x6, x7)
Load15633ARR17(x1, x2, x3, x4, x5, x6) → Load15633ARR17(x1, x2, x3, x5, x6)

(60) 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:
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC)))) → Load15633ARR17(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Load15633ARR17(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → Cond_Load15633ARR17(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Cond_Load15633ARR17(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)), java.lang.Object(EOC))), java.lang.Object(Tree(o20860Field0, o20860Field1, o20860Field2)))
JMP19898(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2))) → Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2)))
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2)), o20744, o20745))) → Load15633ARR18(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2)), o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR18(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2)), o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR18(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2)), o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR18(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2)), o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o21043Field0, o21043Field1, o21043Field2)))
Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2))) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153 + -1, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2)))
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2)), o20738))) → Load15633ARR19(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2)), o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Load15633ARR19(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2)), o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → Cond_Load15633ARR19(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2)), o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Cond_Load15633ARR19(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2)), o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153 + -1, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o21024Field0, o21024Field1, o21024Field2)))
Inc22738(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC)))) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153 + -1, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))))
JMP22518(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC)))) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153 + -1, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))))
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, NULL, o20738))) → Load15633ARR20(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, NULL, o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Load15633ARR20(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → Cond_Load15633ARR20(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Cond_Load15633ARR20(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20736, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20738)), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153 + -1, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))))
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC)))) → Load15633ARR21(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR21(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR21(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR21(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → JMP19898(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153, java.lang.Object(Tree(java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)), o17422, java.lang.Object(EOC))), java.lang.Object(Tree(o20898Field0, o20898Field1, o20898Field2)))
JMP22552(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC)))) → Inc22738(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))))
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o20744, o20745))) → Load15633ARR22(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR22(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR22(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR22(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o20744, o20745)), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Inc22738(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153, java.lang.Object(Tree(o17421, o17422, java.lang.Object(EOC))))
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, NULL, java.lang.Object(EOC))), java.lang.Object(Tree(o17421, NULL, java.lang.Object(EOC)))) → Load15633ARR23(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, NULL, java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Load15633ARR23(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → Cond_Load15633ARR23(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188)))
Cond_Load15633ARR23(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))), java.lang.Object(java.lang.String(0, i5631, i5633, a19188))) → JMP22518(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153, java.lang.Object(Tree(o17421, java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), java.lang.Object(EOC))))
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(NULL, o17422, java.lang.Object(EOC))), java.lang.Object(Tree(NULL, o17422, java.lang.Object(EOC)))) → Load15633ARR24(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(NULL, o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR24(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR24(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR24(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o17422, java.lang.Object(EOC))), java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → JMP22552(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153, java.lang.Object(Tree(java.lang.Object(Tree(NULL, NULL, java.lang.Object(EOC))), o17422, java.lang.Object(EOC))))
The set Q consists of the following terms:
Load15633ARR17(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_Load15633ARR17(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)))
JMP19898(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)))
Load15633(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)))
Load15633ARR18(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_Load15633ARR18(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)))
Inc19833(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)))
Load15633(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)))
Load15633ARR19(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_Load15633ARR19(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)))
Inc22738(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))))
JMP22518(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))))
Load15633(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)))
Load15633ARR20(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_Load15633ARR20(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)))
Load15633ARR21(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_Load15633ARR21(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)))
JMP22552(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(Tree(x4, x5, java.lang.Object(EOC))))
Load15633(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)))
Load15633ARR22(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_Load15633ARR22(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)))
Load15633ARR23(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_Load15633ARR23(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)))
Load15633ARR24(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_Load15633ARR24(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)))

(61) ITRSFilterProcessorProof (SOUND transformation)

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

Load15633(x1, x2, x3, x4, x5) → Load15633(x1, x2, x3)
Tree(x1, x2, x3) → Tree
Load15633ARR17(x1, x2, x3, x4, x5) → Load15633ARR17(x1, x2, x3)
Cond_Load15633ARR17(x1, x2, x3, x4, x5, x6) → Cond_Load15633ARR17(x1, x2, x3, x4)
Inc19833(x1, x2, x3, x4, x5) → Inc19833(x1, x2, x3)
JMP19898(x1, x2, x3, x4, x5) → JMP19898(x1, x2, x3)
Load15633ARR18(x1, x2, x3, x4, x5, x6) → Load15633ARR18(x1, x2, x3, x6)
Cond_Load15633ARR18(x1, x2, x3, x4, x5, x6, x7) → Cond_Load15633ARR18(x1, x2, x3, x4, x7)
Load15633ARR19(x1, x2, x3, x4, x5, x6) → Load15633ARR19(x1, x2, x3)
Cond_Load15633ARR19(x1, x2, x3, x4, x5, x6, x7) → Cond_Load15633ARR19(x1, x2, x3, x4)
Inc22738(x1, x2, x3, x4) → Inc22738(x1, x2, x3)
JMP22518(x1, x2, x3, x4) → JMP22518(x1, x2, x3)
Load15633ARR20(x1, x2, x3, x4, x5, x6) → Load15633ARR20(x1, x2, x3)
Cond_Load15633ARR20(x1, x2, x3, x4, x5, x6, x7) → Cond_Load15633ARR20(x1, x2, x3, x4)
Load15633ARR21(x1, x2, x3, x4, x5) → Load15633ARR21(x1, x2, x3, x5)
Cond_Load15633ARR21(x1, x2, x3, x4, x5, x6) → Cond_Load15633ARR21(x1, x2, x3, x4, x6)
JMP22552(x1, x2, x3, x4) → JMP22552(x1, x2, x3)
Load15633ARR22(x1, x2, x3, x4, x5, x6) → Load15633ARR22(x1, x2, x3, x6)
Cond_Load15633ARR22(x1, x2, x3, x4, x5, x6, x7) → Cond_Load15633ARR22(x1, x2, x3, x4, x7)
Load15633ARR23(x1, x2, x3, x4, x5) → Load15633ARR23(x1, x2, x3)
Cond_Load15633ARR23(x1, x2, x3, x4, x5, x6) → Cond_Load15633ARR23(x1, x2, x3, x4)
Load15633ARR24(x1, x2, x3, x4, x5) → Load15633ARR24(x1, x2, x3, x5)
Cond_Load15633ARR24(x1, x2, x3, x4, x5, x6) → Cond_Load15633ARR24(x1, x2, x3, x4, x6)

(62) 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:
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR17(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Load15633ARR17(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Cond_Load15633ARR17(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Cond_Load15633ARR17(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153)
JMP19898(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153) → Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153)
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR18(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR18(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR18(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR18(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153)
Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153 + -1)
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR19(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Load15633ARR19(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Cond_Load15633ARR19(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Cond_Load15633ARR19(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153 + -1)
Inc22738(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153 + -1)
JMP22518(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153 + -1)
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR20(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Load15633ARR20(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Cond_Load15633ARR20(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Cond_Load15633ARR20(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153 + -1)
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR21(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR21(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR21(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR21(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → JMP19898(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153)
JMP22552(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153) → Inc22738(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153)
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR22(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR22(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR22(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR22(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Inc22738(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153)
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR23(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Load15633ARR23(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Cond_Load15633ARR23(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Cond_Load15633ARR23(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → JMP22518(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153)
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR24(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR24(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR24(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR24(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → JMP22552(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153)
The set Q consists of the following terms:
Load15633(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP19898(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc19833(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Inc22738(java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP22518(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR20(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR20(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
JMP22552(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR22(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR22(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Load15633ARR23(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR23(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR24(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR24(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(63) ITRSFSMergerProof (SOUND transformation)

The following function symbols have been merged:

Load15633ARR17, Load15633ARR23
 > Load15633ARR17_3

Load15633ARR19, Load15633ARR20
 > Load15633ARR19_3

Cond_Load15633ARR17, Cond_Load15633ARR23
 > Cond_Load15633ARR17_4

JMP19898, JMP22552
 > JMP19898_3

Load15633ARR18, Load15633ARR22
 > Load15633ARR18_4

Load15633ARR21, Load15633ARR24
 > Load15633ARR21_4

Cond_Load15633ARR21, Cond_Load15633ARR24
 > Cond_Load15633ARR21_5

Cond_Load15633ARR18, Cond_Load15633ARR22
 > Cond_Load15633ARR18_5

Inc19833, Inc22738, JMP22518
 > Inc19833_3

Cond_Load15633ARR19, Cond_Load15633ARR20
 > Cond_Load15633ARR19_4

(64) 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:
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR17(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Load15633ARR17(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Cond_Load15633ARR17(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Cond_Load15633ARR17(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153)
JMP19898(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153) → Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153)
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR18(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR18(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR18(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR18(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153)
Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153 + -1)
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR19(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Load15633ARR19(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Cond_Load15633ARR19(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Cond_Load15633ARR19(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153 + -1)
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR21(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR21(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR21(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR21(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → JMP19898(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153)
The set Q consists of the following terms:
Load15633(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP19898(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc19833(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(65) ITRStoIDPProof (EQUIVALENT transformation)

Added dependency pairs

(66) 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:
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR17(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Load15633ARR17(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Cond_Load15633ARR17(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Cond_Load15633ARR17(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153)
JMP19898(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153) → Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153)
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR18(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR18(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR18(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR18(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153)
Inc19833(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153 + -1)
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR19(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Load15633ARR19(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Cond_Load15633ARR19(i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
Cond_Load15633ARR19(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153 + -1)
Load15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → Load15633ARR21(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Load15633ARR21(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → Cond_Load15633ARR21(i5990 > 0 && i5116 > 0 && i5116 < i2 && i5153 > 0 && i5116 + 1 > 0, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
Cond_Load15633ARR21(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → JMP19898(java.lang.Object(ARRAY(i2, a17742data)), i5116 + 1, i5153)

The integer pair graph contains the following rules and edges:
(0): LOAD15633(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0]) → LOAD15633ARR17(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])
(1): LOAD15633ARR17(java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1]) → COND_LOAD15633ARR17(i5116[1] > 0 && i5116[1] < i2[1] && i5153[1] > 0 && i5116[1] + 1 > 0, java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])
(2): COND_LOAD15633ARR17(TRUE, java.lang.Object(ARRAY(i2[2], a17742data[2])), i5116[2], i5153[2]) → INC19833(java.lang.Object(ARRAY(i2[2], a17742data[2])), i5116[2] + 1, i5153[2])
(3): JMP19898'(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3]) → INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])
(4): LOAD15633(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4]) → LOAD15633ARR18(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4], java.lang.Object(java.lang.String(i5990[4], i5631[4], i5633[4], a19188[4])))
(5): LOAD15633ARR18(java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5]))) → COND_LOAD15633ARR18(i5990[5] > 0 && i5116[5] > 0 && i5116[5] < i2[5] && i5153[5] > 0 && i5116[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))
(6): COND_LOAD15633ARR18(TRUE, java.lang.Object(ARRAY(i2[6], a17742data[6])), i5116[6], i5153[6], java.lang.Object(java.lang.String(i5990[6], i5631[6], i5633[6], a19188[6]))) → INC19833(java.lang.Object(ARRAY(i2[6], a17742data[6])), i5116[6] + 1, i5153[6])
(7): INC19833(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], i5153[7]) → LOAD15633(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], i5153[7] + -1)
(8): LOAD15633(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8]) → LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])
(9): LOAD15633ARR19(java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9]) → COND_LOAD15633ARR19(i5116[9] > 0 && i5116[9] < i2[9] && i5153[9] > 0 && i5116[9] + 1 > 0, java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])
(10): COND_LOAD15633ARR19(TRUE, java.lang.Object(ARRAY(i2[10], a17742data[10])), i5116[10], i5153[10]) → LOAD15633(java.lang.Object(ARRAY(i2[10], a17742data[10])), i5116[10] + 1, i5153[10] + -1)
(11): LOAD15633(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11]) → LOAD15633ARR21(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11], java.lang.Object(java.lang.String(i5990[11], i5631[11], i5633[11], a19188[11])))
(12): LOAD15633ARR21(java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12]))) → COND_LOAD15633ARR21(i5990[12] > 0 && i5116[12] > 0 && i5116[12] < i2[12] && i5153[12] > 0 && i5116[12] + 1 > 0, java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))
(13): COND_LOAD15633ARR21(TRUE, java.lang.Object(ARRAY(i2[13], a17742data[13])), i5116[13], i5153[13], java.lang.Object(java.lang.String(i5990[13], i5631[13], i5633[13], a19188[13]))) → JMP19898'(java.lang.Object(ARRAY(i2[13], a17742data[13])), i5116[13] + 1, i5153[13])

(0) -> (1), if ((i5153[0] →* i5153[1])∧(i5116[0] →* i5116[1])∧(java.lang.Object(ARRAY(i2[0], a17742data[0])) →* java.lang.Object(ARRAY(i2[1], a17742data[1]))))


(1) -> (2), if ((i5153[1] →* i5153[2])∧(i5116[1] > 0 && i5116[1] < i2[1] && i5153[1] > 0 && i5116[1] + 1 > 0 →* TRUE)∧(i5116[1] →* i5116[2])∧(java.lang.Object(ARRAY(i2[1], a17742data[1])) →* java.lang.Object(ARRAY(i2[2], a17742data[2]))))


(2) -> (7), if ((java.lang.Object(ARRAY(i2[2], a17742data[2])) →* java.lang.Object(ARRAY(i2[7], a17742data[7])))∧(i5116[2] + 1 →* i5375[7])∧(i5153[2] →* i5153[7]))


(3) -> (7), if ((i5375[3] →* i5375[7])∧(java.lang.Object(ARRAY(i2[3], a17742data[3])) →* java.lang.Object(ARRAY(i2[7], a17742data[7])))∧(i5153[3] →* i5153[7]))


(4) -> (5), if ((i5153[4] →* i5153[5])∧(java.lang.Object(java.lang.String(i5990[4], i5631[4], i5633[4], a19188[4])) →* java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))∧(i5116[4] →* i5116[5])∧(java.lang.Object(ARRAY(i2[4], a17742data[4])) →* java.lang.Object(ARRAY(i2[5], a17742data[5]))))


(5) -> (6), if ((i5990[5] > 0 && i5116[5] > 0 && i5116[5] < i2[5] && i5153[5] > 0 && i5116[5] + 1 > 0 →* TRUE)∧(i5153[5] →* i5153[6])∧(i5116[5] →* i5116[6])∧(java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])) →* java.lang.Object(java.lang.String(i5990[6], i5631[6], i5633[6], a19188[6])))∧(java.lang.Object(ARRAY(i2[5], a17742data[5])) →* java.lang.Object(ARRAY(i2[6], a17742data[6]))))


(6) -> (7), if ((i5153[6] →* i5153[7])∧(i5116[6] + 1 →* i5375[7])∧(java.lang.Object(ARRAY(i2[6], a17742data[6])) →* java.lang.Object(ARRAY(i2[7], a17742data[7]))))


(7) -> (0), if ((i5375[7] →* i5116[0])∧(i5153[7] + -1 →* i5153[0])∧(java.lang.Object(ARRAY(i2[7], a17742data[7])) →* java.lang.Object(ARRAY(i2[0], a17742data[0]))))


(7) -> (4), if ((i5153[7] + -1 →* i5153[4])∧(java.lang.Object(ARRAY(i2[7], a17742data[7])) →* java.lang.Object(ARRAY(i2[4], a17742data[4])))∧(i5375[7] →* i5116[4]))


(7) -> (8), if ((i5153[7] + -1 →* i5153[8])∧(i5375[7] →* i5116[8])∧(java.lang.Object(ARRAY(i2[7], a17742data[7])) →* java.lang.Object(ARRAY(i2[8], a17742data[8]))))


(7) -> (11), if ((i5153[7] + -1 →* i5153[11])∧(java.lang.Object(ARRAY(i2[7], a17742data[7])) →* java.lang.Object(ARRAY(i2[11], a17742data[11])))∧(i5375[7] →* i5116[11]))


(8) -> (9), if ((i5116[8] →* i5116[9])∧(java.lang.Object(ARRAY(i2[8], a17742data[8])) →* java.lang.Object(ARRAY(i2[9], a17742data[9])))∧(i5153[8] →* i5153[9]))


(9) -> (10), if ((i5116[9] →* i5116[10])∧(i5116[9] > 0 && i5116[9] < i2[9] && i5153[9] > 0 && i5116[9] + 1 > 0 →* TRUE)∧(i5153[9] →* i5153[10])∧(java.lang.Object(ARRAY(i2[9], a17742data[9])) →* java.lang.Object(ARRAY(i2[10], a17742data[10]))))


(10) -> (0), if ((i5153[10] + -1 →* i5153[0])∧(i5116[10] + 1 →* i5116[0])∧(java.lang.Object(ARRAY(i2[10], a17742data[10])) →* java.lang.Object(ARRAY(i2[0], a17742data[0]))))


(10) -> (4), if ((java.lang.Object(ARRAY(i2[10], a17742data[10])) →* java.lang.Object(ARRAY(i2[4], a17742data[4])))∧(i5153[10] + -1 →* i5153[4])∧(i5116[10] + 1 →* i5116[4]))


(10) -> (8), if ((java.lang.Object(ARRAY(i2[10], a17742data[10])) →* java.lang.Object(ARRAY(i2[8], a17742data[8])))∧(i5153[10] + -1 →* i5153[8])∧(i5116[10] + 1 →* i5116[8]))


(10) -> (11), if ((i5116[10] + 1 →* i5116[11])∧(java.lang.Object(ARRAY(i2[10], a17742data[10])) →* java.lang.Object(ARRAY(i2[11], a17742data[11])))∧(i5153[10] + -1 →* i5153[11]))


(11) -> (12), if ((java.lang.Object(ARRAY(i2[11], a17742data[11])) →* java.lang.Object(ARRAY(i2[12], a17742data[12])))∧(i5116[11] →* i5116[12])∧(java.lang.Object(java.lang.String(i5990[11], i5631[11], i5633[11], a19188[11])) →* java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))∧(i5153[11] →* i5153[12]))


(12) -> (13), if ((java.lang.Object(ARRAY(i2[12], a17742data[12])) →* java.lang.Object(ARRAY(i2[13], a17742data[13])))∧(java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])) →* java.lang.Object(java.lang.String(i5990[13], i5631[13], i5633[13], a19188[13])))∧(i5153[12] →* i5153[13])∧(i5116[12] →* i5116[13])∧(i5990[12] > 0 && i5116[12] > 0 && i5116[12] < i2[12] && i5153[12] > 0 && i5116[12] + 1 > 0 →* TRUE))


(13) -> (3), if ((i5153[13] →* i5153[3])∧(i5116[13] + 1 →* i5375[3])∧(java.lang.Object(ARRAY(i2[13], a17742data[13])) →* java.lang.Object(ARRAY(i2[3], a17742data[3]))))



The set Q consists of the following terms:
Load15633(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP19898(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc19833(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(67) 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.

(68) 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): LOAD15633(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0]) → LOAD15633ARR17(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])
(1): LOAD15633ARR17(java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1]) → COND_LOAD15633ARR17(i5116[1] > 0 && i5116[1] < i2[1] && i5153[1] > 0 && i5116[1] + 1 > 0, java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])
(2): COND_LOAD15633ARR17(TRUE, java.lang.Object(ARRAY(i2[2], a17742data[2])), i5116[2], i5153[2]) → INC19833(java.lang.Object(ARRAY(i2[2], a17742data[2])), i5116[2] + 1, i5153[2])
(3): JMP19898'(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3]) → INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])
(4): LOAD15633(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4]) → LOAD15633ARR18(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4], java.lang.Object(java.lang.String(i5990[4], i5631[4], i5633[4], a19188[4])))
(5): LOAD15633ARR18(java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5]))) → COND_LOAD15633ARR18(i5990[5] > 0 && i5116[5] > 0 && i5116[5] < i2[5] && i5153[5] > 0 && i5116[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))
(6): COND_LOAD15633ARR18(TRUE, java.lang.Object(ARRAY(i2[6], a17742data[6])), i5116[6], i5153[6], java.lang.Object(java.lang.String(i5990[6], i5631[6], i5633[6], a19188[6]))) → INC19833(java.lang.Object(ARRAY(i2[6], a17742data[6])), i5116[6] + 1, i5153[6])
(7): INC19833(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], i5153[7]) → LOAD15633(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], i5153[7] + -1)
(8): LOAD15633(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8]) → LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])
(9): LOAD15633ARR19(java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9]) → COND_LOAD15633ARR19(i5116[9] > 0 && i5116[9] < i2[9] && i5153[9] > 0 && i5116[9] + 1 > 0, java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])
(10): COND_LOAD15633ARR19(TRUE, java.lang.Object(ARRAY(i2[10], a17742data[10])), i5116[10], i5153[10]) → LOAD15633(java.lang.Object(ARRAY(i2[10], a17742data[10])), i5116[10] + 1, i5153[10] + -1)
(11): LOAD15633(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11]) → LOAD15633ARR21(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11], java.lang.Object(java.lang.String(i5990[11], i5631[11], i5633[11], a19188[11])))
(12): LOAD15633ARR21(java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12]))) → COND_LOAD15633ARR21(i5990[12] > 0 && i5116[12] > 0 && i5116[12] < i2[12] && i5153[12] > 0 && i5116[12] + 1 > 0, java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))
(13): COND_LOAD15633ARR21(TRUE, java.lang.Object(ARRAY(i2[13], a17742data[13])), i5116[13], i5153[13], java.lang.Object(java.lang.String(i5990[13], i5631[13], i5633[13], a19188[13]))) → JMP19898'(java.lang.Object(ARRAY(i2[13], a17742data[13])), i5116[13] + 1, i5153[13])

(0) -> (1), if ((i5153[0] →* i5153[1])∧(i5116[0] →* i5116[1])∧(java.lang.Object(ARRAY(i2[0], a17742data[0])) →* java.lang.Object(ARRAY(i2[1], a17742data[1]))))


(1) -> (2), if ((i5153[1] →* i5153[2])∧(i5116[1] > 0 && i5116[1] < i2[1] && i5153[1] > 0 && i5116[1] + 1 > 0 →* TRUE)∧(i5116[1] →* i5116[2])∧(java.lang.Object(ARRAY(i2[1], a17742data[1])) →* java.lang.Object(ARRAY(i2[2], a17742data[2]))))


(2) -> (7), if ((java.lang.Object(ARRAY(i2[2], a17742data[2])) →* java.lang.Object(ARRAY(i2[7], a17742data[7])))∧(i5116[2] + 1 →* i5375[7])∧(i5153[2] →* i5153[7]))


(3) -> (7), if ((i5375[3] →* i5375[7])∧(java.lang.Object(ARRAY(i2[3], a17742data[3])) →* java.lang.Object(ARRAY(i2[7], a17742data[7])))∧(i5153[3] →* i5153[7]))


(4) -> (5), if ((i5153[4] →* i5153[5])∧(java.lang.Object(java.lang.String(i5990[4], i5631[4], i5633[4], a19188[4])) →* java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))∧(i5116[4] →* i5116[5])∧(java.lang.Object(ARRAY(i2[4], a17742data[4])) →* java.lang.Object(ARRAY(i2[5], a17742data[5]))))


(5) -> (6), if ((i5990[5] > 0 && i5116[5] > 0 && i5116[5] < i2[5] && i5153[5] > 0 && i5116[5] + 1 > 0 →* TRUE)∧(i5153[5] →* i5153[6])∧(i5116[5] →* i5116[6])∧(java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])) →* java.lang.Object(java.lang.String(i5990[6], i5631[6], i5633[6], a19188[6])))∧(java.lang.Object(ARRAY(i2[5], a17742data[5])) →* java.lang.Object(ARRAY(i2[6], a17742data[6]))))


(6) -> (7), if ((i5153[6] →* i5153[7])∧(i5116[6] + 1 →* i5375[7])∧(java.lang.Object(ARRAY(i2[6], a17742data[6])) →* java.lang.Object(ARRAY(i2[7], a17742data[7]))))


(7) -> (0), if ((i5375[7] →* i5116[0])∧(i5153[7] + -1 →* i5153[0])∧(java.lang.Object(ARRAY(i2[7], a17742data[7])) →* java.lang.Object(ARRAY(i2[0], a17742data[0]))))


(7) -> (4), if ((i5153[7] + -1 →* i5153[4])∧(java.lang.Object(ARRAY(i2[7], a17742data[7])) →* java.lang.Object(ARRAY(i2[4], a17742data[4])))∧(i5375[7] →* i5116[4]))


(7) -> (8), if ((i5153[7] + -1 →* i5153[8])∧(i5375[7] →* i5116[8])∧(java.lang.Object(ARRAY(i2[7], a17742data[7])) →* java.lang.Object(ARRAY(i2[8], a17742data[8]))))


(7) -> (11), if ((i5153[7] + -1 →* i5153[11])∧(java.lang.Object(ARRAY(i2[7], a17742data[7])) →* java.lang.Object(ARRAY(i2[11], a17742data[11])))∧(i5375[7] →* i5116[11]))


(8) -> (9), if ((i5116[8] →* i5116[9])∧(java.lang.Object(ARRAY(i2[8], a17742data[8])) →* java.lang.Object(ARRAY(i2[9], a17742data[9])))∧(i5153[8] →* i5153[9]))


(9) -> (10), if ((i5116[9] →* i5116[10])∧(i5116[9] > 0 && i5116[9] < i2[9] && i5153[9] > 0 && i5116[9] + 1 > 0 →* TRUE)∧(i5153[9] →* i5153[10])∧(java.lang.Object(ARRAY(i2[9], a17742data[9])) →* java.lang.Object(ARRAY(i2[10], a17742data[10]))))


(10) -> (0), if ((i5153[10] + -1 →* i5153[0])∧(i5116[10] + 1 →* i5116[0])∧(java.lang.Object(ARRAY(i2[10], a17742data[10])) →* java.lang.Object(ARRAY(i2[0], a17742data[0]))))


(10) -> (4), if ((java.lang.Object(ARRAY(i2[10], a17742data[10])) →* java.lang.Object(ARRAY(i2[4], a17742data[4])))∧(i5153[10] + -1 →* i5153[4])∧(i5116[10] + 1 →* i5116[4]))


(10) -> (8), if ((java.lang.Object(ARRAY(i2[10], a17742data[10])) →* java.lang.Object(ARRAY(i2[8], a17742data[8])))∧(i5153[10] + -1 →* i5153[8])∧(i5116[10] + 1 →* i5116[8]))


(10) -> (11), if ((i5116[10] + 1 →* i5116[11])∧(java.lang.Object(ARRAY(i2[10], a17742data[10])) →* java.lang.Object(ARRAY(i2[11], a17742data[11])))∧(i5153[10] + -1 →* i5153[11]))


(11) -> (12), if ((java.lang.Object(ARRAY(i2[11], a17742data[11])) →* java.lang.Object(ARRAY(i2[12], a17742data[12])))∧(i5116[11] →* i5116[12])∧(java.lang.Object(java.lang.String(i5990[11], i5631[11], i5633[11], a19188[11])) →* java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))∧(i5153[11] →* i5153[12]))


(12) -> (13), if ((java.lang.Object(ARRAY(i2[12], a17742data[12])) →* java.lang.Object(ARRAY(i2[13], a17742data[13])))∧(java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])) →* java.lang.Object(java.lang.String(i5990[13], i5631[13], i5633[13], a19188[13])))∧(i5153[12] →* i5153[13])∧(i5116[12] →* i5116[13])∧(i5990[12] > 0 && i5116[12] > 0 && i5116[12] < i2[12] && i5153[12] > 0 && i5116[12] + 1 > 0 →* TRUE))


(13) -> (3), if ((i5153[13] →* i5153[3])∧(i5116[13] + 1 →* i5375[3])∧(java.lang.Object(ARRAY(i2[13], a17742data[13])) →* java.lang.Object(ARRAY(i2[3], a17742data[3]))))



The set Q consists of the following terms:
Load15633(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP19898(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc19833(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(69) ItpfGraphProof (EQUIVALENT transformation)

Applied rule ItpfICap [ICap]

(70) Obligation:

IDP problem:
The following function symbols are pre-defined:
!=~Neq: (Integer, Integer) -> Boolean
*~Mul: (Integer, Integer) -> Integer
>=~Ge: (Integer, Integer) -> Boolean
-1~UnaryMinus: (Integer) -> Integer
|~Bwor: (Integer, Integer) -> Integer
/~Div: (Integer, Integer) -> Integer
=~Eq: (Integer, Integer) -> Boolean
~Bwxor: (Integer, Integer) -> Integer
||~Lor: (Boolean, Boolean) -> Boolean
!~Lnot: (Boolean) -> Boolean
<~Lt: (Integer, Integer) -> Boolean
-~Sub: (Integer, Integer) -> Integer
<=~Le: (Integer, Integer) -> Boolean
>~Gt: (Integer, Integer) -> Boolean
~~Bwnot: (Integer) -> Integer
%~Mod: (Integer, Integer) -> Integer
&~Bwand: (Integer, Integer) -> Integer
+~Add: (Integer, Integer) -> Integer
&&~Land: (Boolean, Boolean) -> Boolean


The following domains are used:

Boolean, Integer


R is empty.

The integer pair graph contains the following rules and edges:
(0): LOAD15633(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0]) → LOAD15633ARR17(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])
(1): LOAD15633ARR17(java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1]) → COND_LOAD15633ARR17(i5116[1] > 0 && i5116[1] < i2[1] && i5153[1] > 0 && i5116[1] + 1 > 0, java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])
(2): COND_LOAD15633ARR17(TRUE, java.lang.Object(ARRAY(i2[2], a17742data[2])), i5116[2], i5153[2]) → INC19833(java.lang.Object(ARRAY(i2[2], a17742data[2])), i5116[2] + 1, i5153[2])
(3): JMP19898'(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3]) → INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])
(4): LOAD15633(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4]) → LOAD15633ARR18(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4], java.lang.Object(java.lang.String(i5990[4], i5631[4], i5633[4], a19188[4])))
(5): LOAD15633ARR18(java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5]))) → COND_LOAD15633ARR18(i5990[5] > 0 && i5116[5] > 0 && i5116[5] < i2[5] && i5153[5] > 0 && i5116[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))
(6): COND_LOAD15633ARR18(TRUE, java.lang.Object(ARRAY(i2[6], a17742data[6])), i5116[6], i5153[6], java.lang.Object(java.lang.String(i5990[6], i5631[6], i5633[6], a19188[6]))) → INC19833(java.lang.Object(ARRAY(i2[6], a17742data[6])), i5116[6] + 1, i5153[6])
(7): INC19833(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], i5153[7]) → LOAD15633(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], i5153[7] + -1)
(8): LOAD15633(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8]) → LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])
(9): LOAD15633ARR19(java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9]) → COND_LOAD15633ARR19(i5116[9] > 0 && i5116[9] < i2[9] && i5153[9] > 0 && i5116[9] + 1 > 0, java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])
(10): COND_LOAD15633ARR19(TRUE, java.lang.Object(ARRAY(i2[10], a17742data[10])), i5116[10], i5153[10]) → LOAD15633(java.lang.Object(ARRAY(i2[10], a17742data[10])), i5116[10] + 1, i5153[10] + -1)
(11): LOAD15633(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11]) → LOAD15633ARR21(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11], java.lang.Object(java.lang.String(i5990[11], i5631[11], i5633[11], a19188[11])))
(12): LOAD15633ARR21(java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12]))) → COND_LOAD15633ARR21(i5990[12] > 0 && i5116[12] > 0 && i5116[12] < i2[12] && i5153[12] > 0 && i5116[12] + 1 > 0, java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))
(13): COND_LOAD15633ARR21(TRUE, java.lang.Object(ARRAY(i2[13], a17742data[13])), i5116[13], i5153[13], java.lang.Object(java.lang.String(i5990[13], i5631[13], i5633[13], a19188[13]))) → JMP19898'(java.lang.Object(ARRAY(i2[13], a17742data[13])), i5116[13] + 1, i5153[13])

(0) -> (1), if ((i5153[0] →* i5153[1])∧(i5116[0] →* i5116[1])∧((i2[0] →* i2[1])∧(a17742data[0] →* a17742data[1])))


(1) -> (2), if ((i5153[1] →* i5153[2])∧(i5116[1] > 0 && i5116[1] < i2[1] && i5153[1] > 0 && i5116[1] + 1 > 0 →* TRUE)∧(i5116[1] →* i5116[2])∧((i2[1] →* i2[2])∧(a17742data[1] →* a17742data[2])))


(2) -> (7), if (((i2[2] →* i2[7])∧(a17742data[2] →* a17742data[7]))∧(i5116[2] + 1 →* i5375[7])∧(i5153[2] →* i5153[7]))


(3) -> (7), if ((i5375[3] →* i5375[7])∧((i2[3] →* i2[7])∧(a17742data[3] →* a17742data[7]))∧(i5153[3] →* i5153[7]))


(4) -> (5), if ((i5153[4] →* i5153[5])∧((i5990[4] →* i5990[5])∧(i5631[4] →* i5631[5])∧(i5633[4] →* i5633[5])∧(a19188[4] →* a19188[5]))∧(i5116[4] →* i5116[5])∧((i2[4] →* i2[5])∧(a17742data[4] →* a17742data[5])))


(5) -> (6), if ((i5990[5] > 0 && i5116[5] > 0 && i5116[5] < i2[5] && i5153[5] > 0 && i5116[5] + 1 > 0 →* TRUE)∧(i5153[5] →* i5153[6])∧(i5116[5] →* i5116[6])∧((i5990[5] →* i5990[6])∧(i5631[5] →* i5631[6])∧(i5633[5] →* i5633[6])∧(a19188[5] →* a19188[6]))∧((i2[5] →* i2[6])∧(a17742data[5] →* a17742data[6])))


(6) -> (7), if ((i5153[6] →* i5153[7])∧(i5116[6] + 1 →* i5375[7])∧((i2[6] →* i2[7])∧(a17742data[6] →* a17742data[7])))


(7) -> (0), if ((i5375[7] →* i5116[0])∧(i5153[7] + -1 →* i5153[0])∧((i2[7] →* i2[0])∧(a17742data[7] →* a17742data[0])))


(7) -> (4), if ((i5153[7] + -1 →* i5153[4])∧((i2[7] →* i2[4])∧(a17742data[7] →* a17742data[4]))∧(i5375[7] →* i5116[4]))


(7) -> (8), if ((i5153[7] + -1 →* i5153[8])∧(i5375[7] →* i5116[8])∧((i2[7] →* i2[8])∧(a17742data[7] →* a17742data[8])))


(7) -> (11), if ((i5153[7] + -1 →* i5153[11])∧((i2[7] →* i2[11])∧(a17742data[7] →* a17742data[11]))∧(i5375[7] →* i5116[11]))


(8) -> (9), if ((i5116[8] →* i5116[9])∧((i2[8] →* i2[9])∧(a17742data[8] →* a17742data[9]))∧(i5153[8] →* i5153[9]))


(9) -> (10), if ((i5116[9] →* i5116[10])∧(i5116[9] > 0 && i5116[9] < i2[9] && i5153[9] > 0 && i5116[9] + 1 > 0 →* TRUE)∧(i5153[9] →* i5153[10])∧((i2[9] →* i2[10])∧(a17742data[9] →* a17742data[10])))


(10) -> (0), if ((i5153[10] + -1 →* i5153[0])∧(i5116[10] + 1 →* i5116[0])∧((i2[10] →* i2[0])∧(a17742data[10] →* a17742data[0])))


(10) -> (4), if (((i2[10] →* i2[4])∧(a17742data[10] →* a17742data[4]))∧(i5153[10] + -1 →* i5153[4])∧(i5116[10] + 1 →* i5116[4]))


(10) -> (8), if (((i2[10] →* i2[8])∧(a17742data[10] →* a17742data[8]))∧(i5153[10] + -1 →* i5153[8])∧(i5116[10] + 1 →* i5116[8]))


(10) -> (11), if ((i5116[10] + 1 →* i5116[11])∧((i2[10] →* i2[11])∧(a17742data[10] →* a17742data[11]))∧(i5153[10] + -1 →* i5153[11]))


(11) -> (12), if (((i2[11] →* i2[12])∧(a17742data[11] →* a17742data[12]))∧(i5116[11] →* i5116[12])∧((i5990[11] →* i5990[12])∧(i5631[11] →* i5631[12])∧(i5633[11] →* i5633[12])∧(a19188[11] →* a19188[12]))∧(i5153[11] →* i5153[12]))


(12) -> (13), if (((i2[12] →* i2[13])∧(a17742data[12] →* a17742data[13]))∧((i5990[12] →* i5990[13])∧(i5631[12] →* i5631[13])∧(i5633[12] →* i5633[13])∧(a19188[12] →* a19188[13]))∧(i5153[12] →* i5153[13])∧(i5116[12] →* i5116[13])∧(i5990[12] > 0 && i5116[12] > 0 && i5116[12] < i2[12] && i5153[12] > 0 && i5116[12] + 1 > 0 →* TRUE))


(13) -> (3), if ((i5153[13] →* i5153[3])∧(i5116[13] + 1 →* i5375[3])∧((i2[13] →* i2[3])∧(a17742data[13] →* a17742data[3])))



The set Q consists of the following terms:
Load15633(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP19898(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc19833(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(71) 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 LOAD15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → LOAD15633ARR17(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) the following chains were created:
  • We consider the chain LOAD15633(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0]) → LOAD15633ARR17(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0]), LOAD15633ARR17(java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1]) → COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1]) which results in the following constraint:

    (1)    (i5153[0]=i5153[1]∧i5116[0]=i5116[1]∧i2[0]=i2[1]∧a17742data[0]=a17742data[1] ⇒ LOAD15633(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])≥NonInfC∧LOAD15633(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])≥LOAD15633ARR17(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])∧(UIncreasing(LOAD15633ARR17(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])), ≥))



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

    (2)    (LOAD15633(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])≥NonInfC∧LOAD15633(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])≥LOAD15633ARR17(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])∧(UIncreasing(LOAD15633ARR17(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])), ≥))



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

    (3)    ((UIncreasing(LOAD15633ARR17(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])), ≥)∧[1 + (-1)bso_25] ≥ 0)



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

    (4)    ((UIncreasing(LOAD15633ARR17(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])), ≥)∧[1 + (-1)bso_25] ≥ 0)



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

    (5)    ((UIncreasing(LOAD15633ARR17(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])), ≥)∧[1 + (-1)bso_25] ≥ 0)



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

    (6)    ((UIncreasing(LOAD15633ARR17(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_25] ≥ 0)







For Pair LOAD15633ARR17(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → COND_LOAD15633ARR17(&&(&&(&&(>(i5116, 0), <(i5116, i2)), >(i5153, 0)), >(+(i5116, 1), 0)), java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) the following chains were created:
  • We consider the chain LOAD15633ARR17(java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1]) → COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1]), COND_LOAD15633ARR17(TRUE, java.lang.Object(ARRAY(i2[2], a17742data[2])), i5116[2], i5153[2]) → INC19833(java.lang.Object(ARRAY(i2[2], a17742data[2])), +(i5116[2], 1), i5153[2]) which results in the following constraint:

    (7)    (i5153[1]=i5153[2]∧&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0))=TRUE∧i5116[1]=i5116[2]∧i2[1]=i2[2]∧a17742data[1]=a17742data[2] ⇒ LOAD15633ARR17(java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])≥NonInfC∧LOAD15633ARR17(java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])≥COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])∧(UIncreasing(COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])), ≥))



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

    (8)    (>(+(i5116[1], 1), 0)=TRUE∧>(i5153[1], 0)=TRUE∧>(i5116[1], 0)=TRUE∧<(i5116[1], i2[1])=TRUE ⇒ LOAD15633ARR17(java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])≥NonInfC∧LOAD15633ARR17(java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])≥COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])∧(UIncreasing(COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])), ≥))



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

    (9)    (i5116[1] ≥ 0∧i5153[1] + [-1] ≥ 0∧i5116[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i5116[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])), ≥)∧[bni_26 + (-1)Bound*bni_26] + [(2)bni_26]i5153[1] + [bni_26]i2[1] + [(-1)bni_26]i5116[1] ≥ 0∧[1 + (-1)bso_27] ≥ 0)



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

    (10)    (i5116[1] ≥ 0∧i5153[1] + [-1] ≥ 0∧i5116[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i5116[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])), ≥)∧[bni_26 + (-1)Bound*bni_26] + [(2)bni_26]i5153[1] + [bni_26]i2[1] + [(-1)bni_26]i5116[1] ≥ 0∧[1 + (-1)bso_27] ≥ 0)



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

    (11)    (i5116[1] ≥ 0∧i5153[1] + [-1] ≥ 0∧i5116[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i5116[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])), ≥)∧[bni_26 + (-1)Bound*bni_26] + [(2)bni_26]i5153[1] + [bni_26]i2[1] + [(-1)bni_26]i5116[1] ≥ 0∧[1 + (-1)bso_27] ≥ 0)



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

    (12)    (i5116[1] ≥ 0∧i5153[1] + [-1] ≥ 0∧i5116[1] + [-1] ≥ 0∧i2[1] + [-1] + [-1]i5116[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])), ≥)∧0 = 0∧[bni_26 + (-1)Bound*bni_26] + [(2)bni_26]i5153[1] + [bni_26]i2[1] + [(-1)bni_26]i5116[1] ≥ 0∧0 = 0∧[1 + (-1)bso_27] ≥ 0)



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

    (13)    ([1] + i5116[1] ≥ 0∧i5153[1] + [-1] ≥ 0∧i5116[1] ≥ 0∧i2[1] + [-2] + [-1]i5116[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])), ≥)∧0 = 0∧[(-1)Bound*bni_26] + [(2)bni_26]i5153[1] + [bni_26]i2[1] + [(-1)bni_26]i5116[1] ≥ 0∧0 = 0∧[1 + (-1)bso_27] ≥ 0)



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

    (14)    ([1] + i5116[1] ≥ 0∧i5153[1] ≥ 0∧i5116[1] ≥ 0∧i2[1] + [-2] + [-1]i5116[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])), ≥)∧0 = 0∧[(2)bni_26 + (-1)Bound*bni_26] + [(2)bni_26]i5153[1] + [bni_26]i2[1] + [(-1)bni_26]i5116[1] ≥ 0∧0 = 0∧[1 + (-1)bso_27] ≥ 0)



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

    (15)    ([1] + i5116[1] ≥ 0∧i5153[1] ≥ 0∧i5116[1] ≥ 0∧i2[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])), ≥)∧0 = 0∧[(4)bni_26 + (-1)Bound*bni_26] + [(2)bni_26]i5153[1] + [bni_26]i2[1] ≥ 0∧0 = 0∧[1 + (-1)bso_27] ≥ 0)







For Pair COND_LOAD15633ARR17(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → INC19833(java.lang.Object(ARRAY(i2, a17742data)), +(i5116, 1), i5153) the following chains were created:
  • We consider the chain COND_LOAD15633ARR17(TRUE, java.lang.Object(ARRAY(i2[2], a17742data[2])), i5116[2], i5153[2]) → INC19833(java.lang.Object(ARRAY(i2[2], a17742data[2])), +(i5116[2], 1), i5153[2]) which results in the following constraint:

    (16)    (COND_LOAD15633ARR17(TRUE, java.lang.Object(ARRAY(i2[2], a17742data[2])), i5116[2], i5153[2])≥NonInfC∧COND_LOAD15633ARR17(TRUE, java.lang.Object(ARRAY(i2[2], a17742data[2])), i5116[2], i5153[2])≥INC19833(java.lang.Object(ARRAY(i2[2], a17742data[2])), +(i5116[2], 1), i5153[2])∧(UIncreasing(INC19833(java.lang.Object(ARRAY(i2[2], a17742data[2])), +(i5116[2], 1), i5153[2])), ≥))



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

    (17)    ((UIncreasing(INC19833(java.lang.Object(ARRAY(i2[2], a17742data[2])), +(i5116[2], 1), i5153[2])), ≥)∧[1 + (-1)bso_29] ≥ 0)



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

    (18)    ((UIncreasing(INC19833(java.lang.Object(ARRAY(i2[2], a17742data[2])), +(i5116[2], 1), i5153[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(INC19833(java.lang.Object(ARRAY(i2[2], a17742data[2])), +(i5116[2], 1), i5153[2])), ≥)∧[1 + (-1)bso_29] ≥ 0)



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

    (20)    ((UIncreasing(INC19833(java.lang.Object(ARRAY(i2[2], a17742data[2])), +(i5116[2], 1), i5153[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_29] ≥ 0)







For Pair JMP19898'(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153) → INC19833(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153) the following chains were created:
  • We consider the chain JMP19898'(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3]) → INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3]), INC19833(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], i5153[7]) → LOAD15633(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], +(i5153[7], -1)) which results in the following constraint:

    (21)    (i5375[3]=i5375[7]∧i2[3]=i2[7]∧a17742data[3]=a17742data[7]∧i5153[3]=i5153[7] ⇒ JMP19898'(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])≥NonInfC∧JMP19898'(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])≥INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])∧(UIncreasing(INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])), ≥))



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

    (22)    (JMP19898'(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])≥NonInfC∧JMP19898'(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])≥INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])∧(UIncreasing(INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])), ≥))



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

    (23)    ((UIncreasing(INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])), ≥)∧[(-1)bso_31] ≥ 0)



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

    (24)    ((UIncreasing(INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])), ≥)∧[(-1)bso_31] ≥ 0)



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

    (25)    ((UIncreasing(INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])), ≥)∧[(-1)bso_31] ≥ 0)



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

    (26)    ((UIncreasing(INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)







For Pair LOAD15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → LOAD15633ARR18(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) the following chains were created:
  • We consider the chain LOAD15633(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4]) → LOAD15633ARR18(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4], java.lang.Object(java.lang.String(i5990[4], i5631[4], i5633[4], a19188[4]))) which results in the following constraint:

    (27)    (LOAD15633(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4])≥NonInfC∧LOAD15633(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4])≥LOAD15633ARR18(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4], java.lang.Object(java.lang.String(i5990[4], i5631[4], i5633[4], a19188[4])))∧(UIncreasing(LOAD15633ARR18(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4], java.lang.Object(java.lang.String(i5990[4], i5631[4], i5633[4], a19188[4])))), ≥))



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

    (28)    ((UIncreasing(LOAD15633ARR18(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4], java.lang.Object(java.lang.String(i5990[4], i5631[4], i5633[4], a19188[4])))), ≥)∧[1 + (-1)bso_33] ≥ 0)



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

    (29)    ((UIncreasing(LOAD15633ARR18(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4], java.lang.Object(java.lang.String(i5990[4], i5631[4], i5633[4], a19188[4])))), ≥)∧[1 + (-1)bso_33] ≥ 0)



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

    (30)    ((UIncreasing(LOAD15633ARR18(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4], java.lang.Object(java.lang.String(i5990[4], i5631[4], i5633[4], a19188[4])))), ≥)∧[1 + (-1)bso_33] ≥ 0)



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

    (31)    ((UIncreasing(LOAD15633ARR18(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4], java.lang.Object(java.lang.String(i5990[4], i5631[4], i5633[4], a19188[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_33] ≥ 0)







For Pair LOAD15633ARR18(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990, 0), >(i5116, 0)), <(i5116, i2)), >(i5153, 0)), >(+(i5116, 1), 0)), java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) the following chains were created:
  • We consider the chain LOAD15633ARR18(java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5]))) → COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5]))), COND_LOAD15633ARR18(TRUE, java.lang.Object(ARRAY(i2[6], a17742data[6])), i5116[6], i5153[6], java.lang.Object(java.lang.String(i5990[6], i5631[6], i5633[6], a19188[6]))) → INC19833(java.lang.Object(ARRAY(i2[6], a17742data[6])), +(i5116[6], 1), i5153[6]) which results in the following constraint:

    (32)    (&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0))=TRUE∧i5153[5]=i5153[6]∧i5116[5]=i5116[6]∧i5990[5]=i5990[6]∧i5631[5]=i5631[6]∧i5633[5]=i5633[6]∧a19188[5]=a19188[6]∧i2[5]=i2[6]∧a17742data[5]=a17742data[6] ⇒ LOAD15633ARR18(java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))≥NonInfC∧LOAD15633ARR18(java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))≥COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))∧(UIncreasing(COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))), ≥))



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

    (33)    (>(+(i5116[5], 1), 0)=TRUE∧>(i5153[5], 0)=TRUE∧<(i5116[5], i2[5])=TRUE∧>(i5990[5], 0)=TRUE∧>(i5116[5], 0)=TRUE ⇒ LOAD15633ARR18(java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))≥NonInfC∧LOAD15633ARR18(java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))≥COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))∧(UIncreasing(COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))), ≥))



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

    (34)    (i5116[5] ≥ 0∧i5153[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i5116[5] ≥ 0∧i5990[5] + [-1] ≥ 0∧i5116[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))), ≥)∧[bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i5153[5] + [bni_34]i2[5] + [(-1)bni_34]i5116[5] ≥ 0∧[(-1)bso_35] ≥ 0)



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

    (35)    (i5116[5] ≥ 0∧i5153[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i5116[5] ≥ 0∧i5990[5] + [-1] ≥ 0∧i5116[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))), ≥)∧[bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i5153[5] + [bni_34]i2[5] + [(-1)bni_34]i5116[5] ≥ 0∧[(-1)bso_35] ≥ 0)



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

    (36)    (i5116[5] ≥ 0∧i5153[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i5116[5] ≥ 0∧i5990[5] + [-1] ≥ 0∧i5116[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))), ≥)∧[bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i5153[5] + [bni_34]i2[5] + [(-1)bni_34]i5116[5] ≥ 0∧[(-1)bso_35] ≥ 0)



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

    (37)    (i5116[5] ≥ 0∧i5153[5] + [-1] ≥ 0∧i2[5] + [-1] + [-1]i5116[5] ≥ 0∧i5990[5] + [-1] ≥ 0∧i5116[5] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i5153[5] + [bni_34]i2[5] + [(-1)bni_34]i5116[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] + i5116[5] ≥ 0∧i5153[5] + [-1] ≥ 0∧i2[5] + [-2] + [-1]i5116[5] ≥ 0∧i5990[5] + [-1] ≥ 0∧i5116[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_34] + [(2)bni_34]i5153[5] + [bni_34]i2[5] + [(-1)bni_34]i5116[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] + i5116[5] ≥ 0∧i5153[5] ≥ 0∧i2[5] + [-2] + [-1]i5116[5] ≥ 0∧i5990[5] + [-1] ≥ 0∧i5116[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(2)bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i5153[5] + [bni_34]i2[5] + [(-1)bni_34]i5116[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] + i5116[5] ≥ 0∧i5153[5] ≥ 0∧i2[5] ≥ 0∧i5990[5] + [-1] ≥ 0∧i5116[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(4)bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i5153[5] + [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] + i5116[5] ≥ 0∧i5153[5] ≥ 0∧i2[5] ≥ 0∧i5990[5] ≥ 0∧i5116[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(4)bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i5153[5] + [bni_34]i2[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)







For Pair COND_LOAD15633ARR18(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → INC19833(java.lang.Object(ARRAY(i2, a17742data)), +(i5116, 1), i5153) the following chains were created:
  • We consider the chain COND_LOAD15633ARR18(TRUE, java.lang.Object(ARRAY(i2[6], a17742data[6])), i5116[6], i5153[6], java.lang.Object(java.lang.String(i5990[6], i5631[6], i5633[6], a19188[6]))) → INC19833(java.lang.Object(ARRAY(i2[6], a17742data[6])), +(i5116[6], 1), i5153[6]) which results in the following constraint:

    (42)    (COND_LOAD15633ARR18(TRUE, java.lang.Object(ARRAY(i2[6], a17742data[6])), i5116[6], i5153[6], java.lang.Object(java.lang.String(i5990[6], i5631[6], i5633[6], a19188[6])))≥NonInfC∧COND_LOAD15633ARR18(TRUE, java.lang.Object(ARRAY(i2[6], a17742data[6])), i5116[6], i5153[6], java.lang.Object(java.lang.String(i5990[6], i5631[6], i5633[6], a19188[6])))≥INC19833(java.lang.Object(ARRAY(i2[6], a17742data[6])), +(i5116[6], 1), i5153[6])∧(UIncreasing(INC19833(java.lang.Object(ARRAY(i2[6], a17742data[6])), +(i5116[6], 1), i5153[6])), ≥))



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

    (43)    ((UIncreasing(INC19833(java.lang.Object(ARRAY(i2[6], a17742data[6])), +(i5116[6], 1), i5153[6])), ≥)∧[2 + (-1)bso_37] ≥ 0)



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

    (44)    ((UIncreasing(INC19833(java.lang.Object(ARRAY(i2[6], a17742data[6])), +(i5116[6], 1), i5153[6])), ≥)∧[2 + (-1)bso_37] ≥ 0)



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

    (45)    ((UIncreasing(INC19833(java.lang.Object(ARRAY(i2[6], a17742data[6])), +(i5116[6], 1), i5153[6])), ≥)∧[2 + (-1)bso_37] ≥ 0)



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

    (46)    ((UIncreasing(INC19833(java.lang.Object(ARRAY(i2[6], a17742data[6])), +(i5116[6], 1), i5153[6])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_37] ≥ 0)







For Pair INC19833(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153) → LOAD15633(java.lang.Object(ARRAY(i2, a17742data)), i5375, +(i5153, -1)) the following chains were created:
  • We consider the chain INC19833(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], i5153[7]) → LOAD15633(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], +(i5153[7], -1)) which results in the following constraint:

    (47)    (INC19833(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], i5153[7])≥NonInfC∧INC19833(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], i5153[7])≥LOAD15633(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], +(i5153[7], -1))∧(UIncreasing(LOAD15633(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], +(i5153[7], -1))), ≥))



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

    (48)    ((UIncreasing(LOAD15633(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], +(i5153[7], -1))), ≥)∧[(-1)bso_39] ≥ 0)



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

    (49)    ((UIncreasing(LOAD15633(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], +(i5153[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(LOAD15633(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], +(i5153[7], -1))), ≥)∧[(-1)bso_39] ≥ 0)



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

    (51)    ((UIncreasing(LOAD15633(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], +(i5153[7], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)







For Pair LOAD15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → LOAD15633ARR19(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) the following chains were created:
  • We consider the chain LOAD15633(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8]) → LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8]), LOAD15633ARR19(java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9]) → COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9]) which results in the following constraint:

    (52)    (i5116[8]=i5116[9]∧i2[8]=i2[9]∧a17742data[8]=a17742data[9]∧i5153[8]=i5153[9] ⇒ LOAD15633(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])≥NonInfC∧LOAD15633(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])≥LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])∧(UIncreasing(LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])), ≥))



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

    (53)    (LOAD15633(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])≥NonInfC∧LOAD15633(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])≥LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])∧(UIncreasing(LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])), ≥))



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

    (54)    ((UIncreasing(LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])), ≥)∧[(-1)bso_41] ≥ 0)



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

    (55)    ((UIncreasing(LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])), ≥)∧[(-1)bso_41] ≥ 0)



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

    (56)    ((UIncreasing(LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])), ≥)∧[(-1)bso_41] ≥ 0)



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

    (57)    ((UIncreasing(LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)







For Pair LOAD15633ARR19(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → COND_LOAD15633ARR19(&&(&&(&&(>(i5116, 0), <(i5116, i2)), >(i5153, 0)), >(+(i5116, 1), 0)), java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) the following chains were created:
  • We consider the chain LOAD15633ARR19(java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9]) → COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9]), COND_LOAD15633ARR19(TRUE, java.lang.Object(ARRAY(i2[10], a17742data[10])), i5116[10], i5153[10]) → LOAD15633(java.lang.Object(ARRAY(i2[10], a17742data[10])), +(i5116[10], 1), +(i5153[10], -1)) which results in the following constraint:

    (58)    (i5116[9]=i5116[10]∧&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0))=TRUE∧i5153[9]=i5153[10]∧i2[9]=i2[10]∧a17742data[9]=a17742data[10] ⇒ LOAD15633ARR19(java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])≥NonInfC∧LOAD15633ARR19(java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])≥COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])∧(UIncreasing(COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])), ≥))



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

    (59)    (>(+(i5116[9], 1), 0)=TRUE∧>(i5153[9], 0)=TRUE∧>(i5116[9], 0)=TRUE∧<(i5116[9], i2[9])=TRUE ⇒ LOAD15633ARR19(java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])≥NonInfC∧LOAD15633ARR19(java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])≥COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])∧(UIncreasing(COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])), ≥))



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

    (60)    (i5116[9] ≥ 0∧i5153[9] + [-1] ≥ 0∧i5116[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i5116[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])), ≥)∧[(2)bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i5153[9] + [(-1)bni_42]i5116[9] + [bni_42]i2[9] ≥ 0∧[2 + (-1)bso_43] ≥ 0)



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

    (61)    (i5116[9] ≥ 0∧i5153[9] + [-1] ≥ 0∧i5116[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i5116[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])), ≥)∧[(2)bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i5153[9] + [(-1)bni_42]i5116[9] + [bni_42]i2[9] ≥ 0∧[2 + (-1)bso_43] ≥ 0)



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

    (62)    (i5116[9] ≥ 0∧i5153[9] + [-1] ≥ 0∧i5116[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i5116[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])), ≥)∧[(2)bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i5153[9] + [(-1)bni_42]i5116[9] + [bni_42]i2[9] ≥ 0∧[2 + (-1)bso_43] ≥ 0)



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

    (63)    (i5116[9] ≥ 0∧i5153[9] + [-1] ≥ 0∧i5116[9] + [-1] ≥ 0∧i2[9] + [-1] + [-1]i5116[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])), ≥)∧0 = 0∧[(2)bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i5153[9] + [(-1)bni_42]i5116[9] + [bni_42]i2[9] ≥ 0∧0 = 0∧[2 + (-1)bso_43] ≥ 0)



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

    (64)    ([1] + i5116[9] ≥ 0∧i5153[9] + [-1] ≥ 0∧i5116[9] ≥ 0∧i2[9] + [-2] + [-1]i5116[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])), ≥)∧0 = 0∧[bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i5153[9] + [(-1)bni_42]i5116[9] + [bni_42]i2[9] ≥ 0∧0 = 0∧[2 + (-1)bso_43] ≥ 0)



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

    (65)    ([1] + i5116[9] ≥ 0∧i5153[9] ≥ 0∧i5116[9] ≥ 0∧i2[9] + [-2] + [-1]i5116[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])), ≥)∧0 = 0∧[(3)bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i5153[9] + [(-1)bni_42]i5116[9] + [bni_42]i2[9] ≥ 0∧0 = 0∧[2 + (-1)bso_43] ≥ 0)



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

    (66)    ([1] + i5116[9] ≥ 0∧i5153[9] ≥ 0∧i5116[9] ≥ 0∧i2[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])), ≥)∧0 = 0∧[(5)bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i5153[9] + [bni_42]i2[9] ≥ 0∧0 = 0∧[2 + (-1)bso_43] ≥ 0)







For Pair COND_LOAD15633ARR19(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → LOAD15633(java.lang.Object(ARRAY(i2, a17742data)), +(i5116, 1), +(i5153, -1)) the following chains were created:
  • We consider the chain COND_LOAD15633ARR19(TRUE, java.lang.Object(ARRAY(i2[10], a17742data[10])), i5116[10], i5153[10]) → LOAD15633(java.lang.Object(ARRAY(i2[10], a17742data[10])), +(i5116[10], 1), +(i5153[10], -1)) which results in the following constraint:

    (67)    (COND_LOAD15633ARR19(TRUE, java.lang.Object(ARRAY(i2[10], a17742data[10])), i5116[10], i5153[10])≥NonInfC∧COND_LOAD15633ARR19(TRUE, java.lang.Object(ARRAY(i2[10], a17742data[10])), i5116[10], i5153[10])≥LOAD15633(java.lang.Object(ARRAY(i2[10], a17742data[10])), +(i5116[10], 1), +(i5153[10], -1))∧(UIncreasing(LOAD15633(java.lang.Object(ARRAY(i2[10], a17742data[10])), +(i5116[10], 1), +(i5153[10], -1))), ≥))



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

    (68)    ((UIncreasing(LOAD15633(java.lang.Object(ARRAY(i2[10], a17742data[10])), +(i5116[10], 1), +(i5153[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(LOAD15633(java.lang.Object(ARRAY(i2[10], a17742data[10])), +(i5116[10], 1), +(i5153[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(LOAD15633(java.lang.Object(ARRAY(i2[10], a17742data[10])), +(i5116[10], 1), +(i5153[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(LOAD15633(java.lang.Object(ARRAY(i2[10], a17742data[10])), +(i5116[10], 1), +(i5153[10], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_45] ≥ 0)







For Pair LOAD15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → LOAD15633ARR21(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) the following chains were created:
  • We consider the chain LOAD15633(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11]) → LOAD15633ARR21(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11], java.lang.Object(java.lang.String(i5990[11], i5631[11], i5633[11], a19188[11]))) which results in the following constraint:

    (72)    (LOAD15633(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11])≥NonInfC∧LOAD15633(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11])≥LOAD15633ARR21(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11], java.lang.Object(java.lang.String(i5990[11], i5631[11], i5633[11], a19188[11])))∧(UIncreasing(LOAD15633ARR21(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11], java.lang.Object(java.lang.String(i5990[11], i5631[11], i5633[11], a19188[11])))), ≥))



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

    (73)    ((UIncreasing(LOAD15633ARR21(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11], java.lang.Object(java.lang.String(i5990[11], i5631[11], i5633[11], a19188[11])))), ≥)∧[2 + (-1)bso_47] ≥ 0)



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

    (74)    ((UIncreasing(LOAD15633ARR21(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11], java.lang.Object(java.lang.String(i5990[11], i5631[11], i5633[11], a19188[11])))), ≥)∧[2 + (-1)bso_47] ≥ 0)



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

    (75)    ((UIncreasing(LOAD15633ARR21(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11], java.lang.Object(java.lang.String(i5990[11], i5631[11], i5633[11], a19188[11])))), ≥)∧[2 + (-1)bso_47] ≥ 0)



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

    (76)    ((UIncreasing(LOAD15633ARR21(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11], java.lang.Object(java.lang.String(i5990[11], i5631[11], i5633[11], a19188[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_47] ≥ 0)







For Pair LOAD15633ARR21(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990, 0), >(i5116, 0)), <(i5116, i2)), >(i5153, 0)), >(+(i5116, 1), 0)), java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) the following chains were created:
  • We consider the chain LOAD15633ARR21(java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12]))) → COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12]))), COND_LOAD15633ARR21(TRUE, java.lang.Object(ARRAY(i2[13], a17742data[13])), i5116[13], i5153[13], java.lang.Object(java.lang.String(i5990[13], i5631[13], i5633[13], a19188[13]))) → JMP19898'(java.lang.Object(ARRAY(i2[13], a17742data[13])), +(i5116[13], 1), i5153[13]) which results in the following constraint:

    (77)    (i2[12]=i2[13]∧a17742data[12]=a17742data[13]∧i5990[12]=i5990[13]∧i5631[12]=i5631[13]∧i5633[12]=i5633[13]∧a19188[12]=a19188[13]∧i5153[12]=i5153[13]∧i5116[12]=i5116[13]∧&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0))=TRUE ⇒ LOAD15633ARR21(java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))≥NonInfC∧LOAD15633ARR21(java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))≥COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))∧(UIncreasing(COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))), ≥))



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

    (78)    (>(+(i5116[12], 1), 0)=TRUE∧>(i5153[12], 0)=TRUE∧<(i5116[12], i2[12])=TRUE∧>(i5990[12], 0)=TRUE∧>(i5116[12], 0)=TRUE ⇒ LOAD15633ARR21(java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))≥NonInfC∧LOAD15633ARR21(java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))≥COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))∧(UIncreasing(COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))), ≥))



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

    (79)    (i5116[12] ≥ 0∧i5153[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i5116[12] ≥ 0∧i5990[12] + [-1] ≥ 0∧i5116[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))), ≥)∧[(-1)Bound*bni_48] + [(2)bni_48]i5153[12] + [(-1)bni_48]i5116[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)    (i5116[12] ≥ 0∧i5153[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i5116[12] ≥ 0∧i5990[12] + [-1] ≥ 0∧i5116[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))), ≥)∧[(-1)Bound*bni_48] + [(2)bni_48]i5153[12] + [(-1)bni_48]i5116[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)    (i5116[12] ≥ 0∧i5153[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i5116[12] ≥ 0∧i5990[12] + [-1] ≥ 0∧i5116[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))), ≥)∧[(-1)Bound*bni_48] + [(2)bni_48]i5153[12] + [(-1)bni_48]i5116[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)    (i5116[12] ≥ 0∧i5153[12] + [-1] ≥ 0∧i2[12] + [-1] + [-1]i5116[12] ≥ 0∧i5990[12] + [-1] ≥ 0∧i5116[12] + [-1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_48] + [(2)bni_48]i5153[12] + [(-1)bni_48]i5116[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] + i5116[12] ≥ 0∧i5153[12] + [-1] ≥ 0∧i2[12] + [-2] + [-1]i5116[12] ≥ 0∧i5990[12] + [-1] ≥ 0∧i5116[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_48 + (-1)bni_48] + [(2)bni_48]i5153[12] + [(-1)bni_48]i5116[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] + i5116[12] ≥ 0∧i5153[12] ≥ 0∧i2[12] + [-2] + [-1]i5116[12] ≥ 0∧i5990[12] + [-1] ≥ 0∧i5116[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_48 + bni_48] + [(2)bni_48]i5153[12] + [(-1)bni_48]i5116[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] + i5116[12] ≥ 0∧i5153[12] ≥ 0∧i2[12] ≥ 0∧i5990[12] + [-1] ≥ 0∧i5116[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_48 + (3)bni_48] + [(2)bni_48]i5153[12] + [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] + i5116[12] ≥ 0∧i5153[12] ≥ 0∧i2[12] ≥ 0∧i5990[12] ≥ 0∧i5116[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_48 + (3)bni_48] + [(2)bni_48]i5153[12] + [bni_48]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 0)







For Pair COND_LOAD15633ARR21(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → JMP19898'(java.lang.Object(ARRAY(i2, a17742data)), +(i5116, 1), i5153) the following chains were created:
  • We consider the chain COND_LOAD15633ARR21(TRUE, java.lang.Object(ARRAY(i2[13], a17742data[13])), i5116[13], i5153[13], java.lang.Object(java.lang.String(i5990[13], i5631[13], i5633[13], a19188[13]))) → JMP19898'(java.lang.Object(ARRAY(i2[13], a17742data[13])), +(i5116[13], 1), i5153[13]) which results in the following constraint:

    (87)    (COND_LOAD15633ARR21(TRUE, java.lang.Object(ARRAY(i2[13], a17742data[13])), i5116[13], i5153[13], java.lang.Object(java.lang.String(i5990[13], i5631[13], i5633[13], a19188[13])))≥NonInfC∧COND_LOAD15633ARR21(TRUE, java.lang.Object(ARRAY(i2[13], a17742data[13])), i5116[13], i5153[13], java.lang.Object(java.lang.String(i5990[13], i5631[13], i5633[13], a19188[13])))≥JMP19898'(java.lang.Object(ARRAY(i2[13], a17742data[13])), +(i5116[13], 1), i5153[13])∧(UIncreasing(JMP19898'(java.lang.Object(ARRAY(i2[13], a17742data[13])), +(i5116[13], 1), i5153[13])), ≥))



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

    (88)    ((UIncreasing(JMP19898'(java.lang.Object(ARRAY(i2[13], a17742data[13])), +(i5116[13], 1), i5153[13])), ≥)∧[1 + (-1)bso_51] ≥ 0)



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

    (89)    ((UIncreasing(JMP19898'(java.lang.Object(ARRAY(i2[13], a17742data[13])), +(i5116[13], 1), i5153[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(JMP19898'(java.lang.Object(ARRAY(i2[13], a17742data[13])), +(i5116[13], 1), i5153[13])), ≥)∧[1 + (-1)bso_51] ≥ 0)



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

    (91)    ((UIncreasing(JMP19898'(java.lang.Object(ARRAY(i2[13], a17742data[13])), +(i5116[13], 1), i5153[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.
  • LOAD15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → LOAD15633ARR17(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
    • ((UIncreasing(LOAD15633ARR17(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_25] ≥ 0)

  • LOAD15633ARR17(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → COND_LOAD15633ARR17(&&(&&(&&(>(i5116, 0), <(i5116, i2)), >(i5153, 0)), >(+(i5116, 1), 0)), java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
    • ([1] + i5116[1] ≥ 0∧i5153[1] ≥ 0∧i5116[1] ≥ 0∧i2[1] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])), ≥)∧0 = 0∧[(4)bni_26 + (-1)Bound*bni_26] + [(2)bni_26]i5153[1] + [bni_26]i2[1] ≥ 0∧0 = 0∧[1 + (-1)bso_27] ≥ 0)

  • COND_LOAD15633ARR17(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → INC19833(java.lang.Object(ARRAY(i2, a17742data)), +(i5116, 1), i5153)
    • ((UIncreasing(INC19833(java.lang.Object(ARRAY(i2[2], a17742data[2])), +(i5116[2], 1), i5153[2])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_29] ≥ 0)

  • JMP19898'(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153) → INC19833(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153)
    • ((UIncreasing(INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_31] ≥ 0)

  • LOAD15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → LOAD15633ARR18(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
    • ((UIncreasing(LOAD15633ARR18(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4], java.lang.Object(java.lang.String(i5990[4], i5631[4], i5633[4], a19188[4])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_33] ≥ 0)

  • LOAD15633ARR18(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990, 0), >(i5116, 0)), <(i5116, i2)), >(i5153, 0)), >(+(i5116, 1), 0)), java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
    • ([1] + i5116[5] ≥ 0∧i5153[5] ≥ 0∧i2[5] ≥ 0∧i5990[5] ≥ 0∧i5116[5] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(4)bni_34 + (-1)Bound*bni_34] + [(2)bni_34]i5153[5] + [bni_34]i2[5] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_35] ≥ 0)

  • COND_LOAD15633ARR18(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → INC19833(java.lang.Object(ARRAY(i2, a17742data)), +(i5116, 1), i5153)
    • ((UIncreasing(INC19833(java.lang.Object(ARRAY(i2[6], a17742data[6])), +(i5116[6], 1), i5153[6])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_37] ≥ 0)

  • INC19833(java.lang.Object(ARRAY(i2, a17742data)), i5375, i5153) → LOAD15633(java.lang.Object(ARRAY(i2, a17742data)), i5375, +(i5153, -1))
    • ((UIncreasing(LOAD15633(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], +(i5153[7], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_39] ≥ 0)

  • LOAD15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → LOAD15633ARR19(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
    • ((UIncreasing(LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_41] ≥ 0)

  • LOAD15633ARR19(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → COND_LOAD15633ARR19(&&(&&(&&(>(i5116, 0), <(i5116, i2)), >(i5153, 0)), >(+(i5116, 1), 0)), java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153)
    • ([1] + i5116[9] ≥ 0∧i5153[9] ≥ 0∧i5116[9] ≥ 0∧i2[9] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])), ≥)∧0 = 0∧[(5)bni_42 + (-1)Bound*bni_42] + [(2)bni_42]i5153[9] + [bni_42]i2[9] ≥ 0∧0 = 0∧[2 + (-1)bso_43] ≥ 0)

  • COND_LOAD15633ARR19(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → LOAD15633(java.lang.Object(ARRAY(i2, a17742data)), +(i5116, 1), +(i5153, -1))
    • ((UIncreasing(LOAD15633(java.lang.Object(ARRAY(i2[10], a17742data[10])), +(i5116[10], 1), +(i5153[10], -1))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_45] ≥ 0)

  • LOAD15633(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153) → LOAD15633ARR21(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
    • ((UIncreasing(LOAD15633ARR21(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11], java.lang.Object(java.lang.String(i5990[11], i5631[11], i5633[11], a19188[11])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[2 + (-1)bso_47] ≥ 0)

  • LOAD15633ARR21(java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990, 0), >(i5116, 0)), <(i5116, i2)), >(i5153, 0)), >(+(i5116, 1), 0)), java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188)))
    • ([1] + i5116[12] ≥ 0∧i5153[12] ≥ 0∧i2[12] ≥ 0∧i5990[12] ≥ 0∧i5116[12] ≥ 0 ⇒ (UIncreasing(COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_48 + (3)bni_48] + [(2)bni_48]i5153[12] + [bni_48]i2[12] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_49] ≥ 0)

  • COND_LOAD15633ARR21(TRUE, java.lang.Object(ARRAY(i2, a17742data)), i5116, i5153, java.lang.Object(java.lang.String(i5990, i5631, i5633, a19188))) → JMP19898'(java.lang.Object(ARRAY(i2, a17742data)), +(i5116, 1), i5153)
    • ((UIncreasing(JMP19898'(java.lang.Object(ARRAY(i2[13], a17742data[13])), +(i5116[13], 1), i5153[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(LOAD15633(x1, x2, x3)) = [1] + [2]x3 + [-1]x1 + [-1]x2   
POL(java.lang.Object(x1)) = x1   
POL(ARRAY(x1, x2)) = [-1] + [-1]x1   
POL(LOAD15633ARR17(x1, x2, x3)) = [2]x3 + [-1]x1 + [-1]x2   
POL(COND_LOAD15633ARR17(x1, x2, x3, x4)) = [-1] + [2]x4 + [-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(INC19833(x1, x2, x3)) = [-1] + [2]x3 + [-1]x2 + [-1]x1   
POL(JMP19898'(x1, x2, x3)) = [-1] + [2]x3 + [-1]x2 + [-1]x1   
POL(LOAD15633ARR18(x1, x2, x3, x4)) = [2]x3 + [-1]x1 + [-1]x2   
POL(java.lang.String(x1, x2, x3, x4)) = [-1] + [-1]x4 + [-1]x3 + [-1]x1   
POL(COND_LOAD15633ARR18(x1, x2, x3, x4, x5)) = [2]x4 + [-1]x2 + [-1]x3   
POL(-1) = [-1]   
POL(LOAD15633ARR19(x1, x2, x3)) = [1] + [2]x3 + [-1]x2 + [-1]x1   
POL(COND_LOAD15633ARR19(x1, x2, x3, x4)) = [-1] + [2]x4 + [-1]x3 + [-1]x2   
POL(LOAD15633ARR21(x1, x2, x3, x4)) = [-1] + [2]x3 + [-1]x2 + [-1]x1   
POL(COND_LOAD15633ARR21(x1, x2, x3, x4, x5)) = [-1] + [2]x4 + [-1]x3 + [-1]x2   

The following pairs are in P>:

LOAD15633(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0]) → LOAD15633ARR17(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])
LOAD15633ARR17(java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1]) → COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])
COND_LOAD15633ARR17(TRUE, java.lang.Object(ARRAY(i2[2], a17742data[2])), i5116[2], i5153[2]) → INC19833(java.lang.Object(ARRAY(i2[2], a17742data[2])), +(i5116[2], 1), i5153[2])
LOAD15633(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4]) → LOAD15633ARR18(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4], java.lang.Object(java.lang.String(i5990[4], i5631[4], i5633[4], a19188[4])))
COND_LOAD15633ARR18(TRUE, java.lang.Object(ARRAY(i2[6], a17742data[6])), i5116[6], i5153[6], java.lang.Object(java.lang.String(i5990[6], i5631[6], i5633[6], a19188[6]))) → INC19833(java.lang.Object(ARRAY(i2[6], a17742data[6])), +(i5116[6], 1), i5153[6])
LOAD15633ARR19(java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9]) → COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])
COND_LOAD15633ARR19(TRUE, java.lang.Object(ARRAY(i2[10], a17742data[10])), i5116[10], i5153[10]) → LOAD15633(java.lang.Object(ARRAY(i2[10], a17742data[10])), +(i5116[10], 1), +(i5153[10], -1))
LOAD15633(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11]) → LOAD15633ARR21(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11], java.lang.Object(java.lang.String(i5990[11], i5631[11], i5633[11], a19188[11])))
COND_LOAD15633ARR21(TRUE, java.lang.Object(ARRAY(i2[13], a17742data[13])), i5116[13], i5153[13], java.lang.Object(java.lang.String(i5990[13], i5631[13], i5633[13], a19188[13]))) → JMP19898'(java.lang.Object(ARRAY(i2[13], a17742data[13])), +(i5116[13], 1), i5153[13])

The following pairs are in Pbound:

LOAD15633ARR17(java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1]) → COND_LOAD15633ARR17(&&(&&(&&(>(i5116[1], 0), <(i5116[1], i2[1])), >(i5153[1], 0)), >(+(i5116[1], 1), 0)), java.lang.Object(ARRAY(i2[1], a17742data[1])), i5116[1], i5153[1])
LOAD15633ARR18(java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5]))) → COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))
LOAD15633ARR19(java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9]) → COND_LOAD15633ARR19(&&(&&(&&(>(i5116[9], 0), <(i5116[9], i2[9])), >(i5153[9], 0)), >(+(i5116[9], 1), 0)), java.lang.Object(ARRAY(i2[9], a17742data[9])), i5116[9], i5153[9])
LOAD15633ARR21(java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12]))) → COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))

The following pairs are in P≥:

JMP19898'(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3]) → INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])
LOAD15633ARR18(java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5]))) → COND_LOAD15633ARR18(&&(&&(&&(&&(>(i5990[5], 0), >(i5116[5], 0)), <(i5116[5], i2[5])), >(i5153[5], 0)), >(+(i5116[5], 1), 0)), java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))
INC19833(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], i5153[7]) → LOAD15633(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], +(i5153[7], -1))
LOAD15633(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8]) → LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])
LOAD15633ARR21(java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12]))) → COND_LOAD15633ARR21(&&(&&(&&(&&(>(i5990[12], 0), >(i5116[12], 0)), <(i5116[12], i2[12])), >(i5153[12], 0)), >(+(i5116[12], 1), 0)), java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))

There are no usable rules.

(72) Complex Obligation (AND)

(73) 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:
(3): JMP19898'(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3]) → INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])
(5): LOAD15633ARR18(java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5]))) → COND_LOAD15633ARR18(i5990[5] > 0 && i5116[5] > 0 && i5116[5] < i2[5] && i5153[5] > 0 && i5116[5] + 1 > 0, java.lang.Object(ARRAY(i2[5], a17742data[5])), i5116[5], i5153[5], java.lang.Object(java.lang.String(i5990[5], i5631[5], i5633[5], a19188[5])))
(7): INC19833(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], i5153[7]) → LOAD15633(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], i5153[7] + -1)
(8): LOAD15633(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8]) → LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])
(12): LOAD15633ARR21(java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12]))) → COND_LOAD15633ARR21(i5990[12] > 0 && i5116[12] > 0 && i5116[12] < i2[12] && i5153[12] > 0 && i5116[12] + 1 > 0, java.lang.Object(ARRAY(i2[12], a17742data[12])), i5116[12], i5153[12], java.lang.Object(java.lang.String(i5990[12], i5631[12], i5633[12], a19188[12])))

(3) -> (7), if ((i5375[3] →* i5375[7])∧((i2[3] →* i2[7])∧(a17742data[3] →* a17742data[7]))∧(i5153[3] →* i5153[7]))


(7) -> (8), if ((i5153[7] + -1 →* i5153[8])∧(i5375[7] →* i5116[8])∧((i2[7] →* i2[8])∧(a17742data[7] →* a17742data[8])))



The set Q consists of the following terms:
Load15633(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP19898(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc19833(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(74) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 5 less nodes.

(75) TRUE

(76) 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): LOAD15633(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0]) → LOAD15633ARR17(java.lang.Object(ARRAY(i2[0], a17742data[0])), i5116[0], i5153[0])
(2): COND_LOAD15633ARR17(TRUE, java.lang.Object(ARRAY(i2[2], a17742data[2])), i5116[2], i5153[2]) → INC19833(java.lang.Object(ARRAY(i2[2], a17742data[2])), i5116[2] + 1, i5153[2])
(3): JMP19898'(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3]) → INC19833(java.lang.Object(ARRAY(i2[3], a17742data[3])), i5375[3], i5153[3])
(4): LOAD15633(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4]) → LOAD15633ARR18(java.lang.Object(ARRAY(i2[4], a17742data[4])), i5116[4], i5153[4], java.lang.Object(java.lang.String(i5990[4], i5631[4], i5633[4], a19188[4])))
(6): COND_LOAD15633ARR18(TRUE, java.lang.Object(ARRAY(i2[6], a17742data[6])), i5116[6], i5153[6], java.lang.Object(java.lang.String(i5990[6], i5631[6], i5633[6], a19188[6]))) → INC19833(java.lang.Object(ARRAY(i2[6], a17742data[6])), i5116[6] + 1, i5153[6])
(7): INC19833(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], i5153[7]) → LOAD15633(java.lang.Object(ARRAY(i2[7], a17742data[7])), i5375[7], i5153[7] + -1)
(8): LOAD15633(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8]) → LOAD15633ARR19(java.lang.Object(ARRAY(i2[8], a17742data[8])), i5116[8], i5153[8])
(10): COND_LOAD15633ARR19(TRUE, java.lang.Object(ARRAY(i2[10], a17742data[10])), i5116[10], i5153[10]) → LOAD15633(java.lang.Object(ARRAY(i2[10], a17742data[10])), i5116[10] + 1, i5153[10] + -1)
(11): LOAD15633(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11]) → LOAD15633ARR21(java.lang.Object(ARRAY(i2[11], a17742data[11])), i5116[11], i5153[11], java.lang.Object(java.lang.String(i5990[11], i5631[11], i5633[11], a19188[11])))
(13): COND_LOAD15633ARR21(TRUE, java.lang.Object(ARRAY(i2[13], a17742data[13])), i5116[13], i5153[13], java.lang.Object(java.lang.String(i5990[13], i5631[13], i5633[13], a19188[13]))) → JMP19898'(java.lang.Object(ARRAY(i2[13], a17742data[13])), i5116[13] + 1, i5153[13])

(7) -> (0), if ((i5375[7] →* i5116[0])∧(i5153[7] + -1 →* i5153[0])∧((i2[7] →* i2[0])∧(a17742data[7] →* a17742data[0])))


(10) -> (0), if ((i5153[10] + -1 →* i5153[0])∧(i5116[10] + 1 →* i5116[0])∧((i2[10] →* i2[0])∧(a17742data[10] →* a17742data[0])))


(13) -> (3), if ((i5153[13] →* i5153[3])∧(i5116[13] + 1 →* i5375[3])∧((i2[13] →* i2[3])∧(a17742data[13] →* a17742data[3])))


(7) -> (4), if ((i5153[7] + -1 →* i5153[4])∧((i2[7] →* i2[4])∧(a17742data[7] →* a17742data[4]))∧(i5375[7] →* i5116[4]))


(10) -> (4), if (((i2[10] →* i2[4])∧(a17742data[10] →* a17742data[4]))∧(i5153[10] + -1 →* i5153[4])∧(i5116[10] + 1 →* i5116[4]))


(2) -> (7), if (((i2[2] →* i2[7])∧(a17742data[2] →* a17742data[7]))∧(i5116[2] + 1 →* i5375[7])∧(i5153[2] →* i5153[7]))


(3) -> (7), if ((i5375[3] →* i5375[7])∧((i2[3] →* i2[7])∧(a17742data[3] →* a17742data[7]))∧(i5153[3] →* i5153[7]))


(6) -> (7), if ((i5153[6] →* i5153[7])∧(i5116[6] + 1 →* i5375[7])∧((i2[6] →* i2[7])∧(a17742data[6] →* a17742data[7])))


(7) -> (8), if ((i5153[7] + -1 →* i5153[8])∧(i5375[7] →* i5116[8])∧((i2[7] →* i2[8])∧(a17742data[7] →* a17742data[8])))


(10) -> (8), if (((i2[10] →* i2[8])∧(a17742data[10] →* a17742data[8]))∧(i5153[10] + -1 →* i5153[8])∧(i5116[10] + 1 →* i5116[8]))


(7) -> (11), if ((i5153[7] + -1 →* i5153[11])∧((i2[7] →* i2[11])∧(a17742data[7] →* a17742data[11]))∧(i5375[7] →* i5116[11]))


(10) -> (11), if ((i5116[10] + 1 →* i5116[11])∧((i2[10] →* i2[11])∧(a17742data[10] →* a17742data[11]))∧(i5153[10] + -1 →* i5153[11]))



The set Q consists of the following terms:
Load15633(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR17(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR17(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
JMP19898(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR18(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR18(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Inc19833(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR19(java.lang.Object(ARRAY(x0, x1)), x2, x3)
Cond_Load15633ARR19(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3)
Load15633ARR21(java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))
Cond_Load15633ARR21(TRUE, java.lang.Object(ARRAY(x0, x1)), x2, x3, java.lang.Object(java.lang.String(x4, x5, x6, x7)))

(77) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 10 less nodes.

(78) TRUE