(0) Obligation:

Need to prove time_complexity of the following program:
/**
 * Example taken from "A Term Rewriting Approach to the Automated Termination
 * Analysis of Imperative Programs" (http://www.cs.unm.edu/~spf/papers/2009-02.pdf)
 * and converted to Java.
 */

public class PastaB7 {
    public static void main(String[] args) {
        Random.args = args;
        int x = Random.random();
        int y = Random.random();
        int z = Random.random();

        while (x > z && y > z) {
            x--;
            y--;
        }
    }
}


public class Random {
  static String[] args;
  static int index = 0;

  public static int random() {
    String string = args[index];
    index++;
    return string.length();
  }
}


(1) JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Constructed TerminationGraph.

(2) Obligation:

Termination Graph based on JBC Program:
PastaB7.main([Ljava/lang/String;)V: Graph of 237 nodes with 1 SCC.


(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(138)) transformation)

Extracted set of 96 edges for the analysis of TIME complexity. Kept leaves.

(4) Obligation:

Set of 96 edges based on JBC Program.
Performed SCC analyses:
  • Used field analysis yielded the following read fields:

Considered paths: nonterm paths and paths from start to sinks

(5) JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID) transformation)

Transformed 96 jbc graph edges to a weighted ITS with 96 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(6) Obligation:

IntTrs with 96 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_27(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_45(o1, env, static) :|: 0 < o1
main_Load_45(o1, env, static) -{0,0}> main_Load_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{0,0}> main_Load_50(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_50(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{1,1}> main_FieldAccess_56(o1, env, static) :|: 0 < o1
main_FieldAccess_56(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_74(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_95(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_108(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_108(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_114(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_118(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_118(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_122(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_122(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i5, env, static) :|: -1 * static <= iconst_1 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_166(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_166(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_174(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_174(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_181(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_181(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_193(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_193(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_197(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_197(o49, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_203(o49, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o49 && 0 <= o49 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_203(o49, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_218(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < o49 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i20 <= o49
random_Return_218(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_233(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_233(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_272(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i20 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_272(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_288(a6, iconst_2, i8, i20, i12, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_288(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_299(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_288(a6, iconst_2, i8, i20, i33, env, static) -{0,0}> random_ArrayAccess_300(a6, iconst_2, i8, i20, i33, env, static) :|: 0 <= i20 && 3 <= i33 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_300(a6, iconst_2, i8, i20, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i20, i33, env, static) :|: 0 <= o95 && 0 <= i20 && -1 * static <= iconst_2 && 3 <= i33 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i20, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i20, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i20, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i20, iconst_3, i33, env, static') :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i20, iconst_3, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i20, iconst_3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_345(o191, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i20, iconst_3, i33, env, static) :|: i88 <= o191 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i20, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_373(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 < i8 && 0 < a6 && 0 <= i8
main_LE_373(a6, i8, i88, i20, iconst_3, i33, env, static) -{1,1}> main_Load_388(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i88 < i8 && 0 < a6 && 0 <= i8
main_Load_388(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i20, i8, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_Load_398(a6, i20, i8, i88, iconst_3, i33, env, static) -{1,1}> main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_413(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && i88 < i20 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_LE_413(a6, i20, i88, i8, iconst_3, i33, env, static) -{1,1}> main_Inc_437(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && i88 < i20 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && 1 <= i20
main_Inc_437(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Inc_443(a6, i99, i20, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && 0 <= i99 && 1 <= i20 && i8 + -1 = i99
main_Inc_443(a6, i99, i20, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_446(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99 && 1 <= i20 && i20 + -1 = i100
main_JMP_446(a6, i99, i100, i88, iconst_3, i33, env, static) -{1,1}> main_Load_449(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99
main_Load_449(a6, i99, i100, i88, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99

(7) StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

obtained
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_27(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_45(o1, env, static) :|: 0 < o1
main_Load_45(o1, env, static) -{0,0}> main_Load_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{0,0}> main_Load_50(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_50(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{1,1}> main_FieldAccess_56(o1, env, static) :|: 0 < o1
main_FieldAccess_56(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6

obtained
random_ArrayAccess_70(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0
by chaining
random_ArrayAccess_70(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_74(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_95(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5

obtained
random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12
by chaining
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_108(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_108(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_114(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_118(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_118(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_122(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_122(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i5, env, static) :|: -1 * static <= iconst_1 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5

obtained
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_166(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_166(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_174(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_174(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_181(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_181(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_193(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_193(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_197(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_197(o49, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49
by chaining
random_InvokeMethod_197(o49, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_203(o49, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o49 && 0 <= o49 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_203(o49, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_218(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < o49 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i20 <= o49
random_Return_218(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_233(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_233(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_272(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i20 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_272(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_288(a6, iconst_2, i8, i20, i12, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
random_ArrayAccess_288(a6, 2, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
by chaining
random_ArrayAccess_288(a6, iconst_2, i8, i20, i33, env, static) -{0,0}> random_ArrayAccess_300(a6, iconst_2, i8, i20, i33, env, static) :|: 0 <= i20 && 3 <= i33 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_300(a6, iconst_2, i8, i20, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i20, i33, env, static) :|: 0 <= o95 && 0 <= i20 && -1 * static <= iconst_2 && 3 <= i33 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i20, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i20, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i20, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i20, iconst_3, i33, env, static') :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i20, iconst_3, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 <= i8

obtained
random_InvokeMethod_342(o191, a6, i8, i20, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191
by chaining
random_InvokeMethod_342(o191, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_345(o191, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i20, iconst_3, i33, env, static) :|: i88 <= o191 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i20, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_Load_359(a6, i8, i20, i88, 3, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33
by chaining
main_Load_359(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_LE_368(a6, i8, i88, i20, 3, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33
by chaining
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_373(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 < i8 && 0 < a6 && 0 <= i8
main_LE_373(a6, i8, i88, i20, iconst_3, i33, env, static) -{1,1}> main_Load_388(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i88 < i8 && 0 < a6 && 0 <= i8
main_Load_388(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i20, i8, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_Load_398(a6, i20, i8, i88, iconst_3, i33, env, static) -{1,1}> main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6

obtained
main_LE_402(a6, i20, i88, i8, 3, i33, env, static) -{4,4}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99'
by chaining
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_413(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && i88 < i20 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_LE_413(a6, i20, i88, i8, iconst_3, i33, env, static) -{1,1}> main_Inc_437(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && i88 < i20 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && 1 <= i20
main_Inc_437(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Inc_443(a6, i99, i20, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && 0 <= i99 && 1 <= i20 && i8 + -1 = i99
main_Inc_443(a6, i99, i20, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_446(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99 && 1 <= i20 && i20 + -1 = i100
main_JMP_446(a6, i99, i100, i88, iconst_3, i33, env, static) -{1,1}> main_Load_449(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99
main_Load_449(a6, i99, i100, i88, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99

(8) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_197(o49, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49
random_ArrayAccess_288(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_299(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_288(a6, 2, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i20, iconst_3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i20, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191
main_Load_359(a6, i8, i20, i88, 3, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i88, i20, 3, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88
main_LE_402(a6, i20, i88, i8, 3, i33, env, static) -{4,4}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99'

(9) MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Moved arithmethic from lhss to constraints.

random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1

random_InvokeMethod_197(o49, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49
was transformed to
random_InvokeMethod_197(o49, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49 && x = 2

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

random_ArrayAccess_288(a6, 2, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
was transformed to
random_ArrayAccess_288(a6, x, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2

random_InvokeMethod_342(o191, a6, i8, i20, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191
was transformed to
random_InvokeMethod_342(o191, a6, i8, i20, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191 && x = 3

main_Load_359(a6, i8, i20, i88, 3, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33
was transformed to
main_Load_359(a6, i8, i20, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3

main_LE_402(a6, i20, i88, i8, 3, i33, env, static) -{4,4}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99'
was transformed to
main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99' && x = 3

main_LE_368(a6, i8, i88, i20, 3, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33
was transformed to
main_LE_368(a6, i8, i88, i20, x, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3

random_ArrayAccess_70(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0
was transformed to
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0

(10) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
random_InvokeMethod_197(o49, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_288(a6, x, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_342(o191, a6, i8, i20, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191 && x = 3
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88
main_Load_359(a6, i8, i20, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i20, iconst_3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_288(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_299(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99' && x = 3
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
main_LE_368(a6, i8, i88, i20, x, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0

(11) LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Linearized lhss.

random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

random_ArrayAccess_288(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_299(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
was transformed to
random_ArrayAccess_288(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_299(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2

random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(12) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_342(o191, a6, i8, i20, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191 && x = 3
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i20, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88
random_ArrayAccess_288(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_299(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i20, iconst_3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i88, i20, x, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_ArrayAccess_288(a6, x, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_197(o49, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49 && x = 2
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99' && x = 3

(13) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Moved arithmethic from constraints to rhss.

random_ArrayAccess_288(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_299(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
was transformed to
random_ArrayAccess_288(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_299(a6, 2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2

random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8
was transformed to
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8

random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88
was transformed to
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88

random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i20, iconst_3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
was transformed to
random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i20, 3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8

random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
was transformed to
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5

main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99' && x = 3
was transformed to
main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i8 + -1, i20 + -1, i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99' && x = 3

(14) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_288(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_299(a6, 2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_342(o191, a6, i8, i20, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191 && x = 3
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_359(a6, i8, i20, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88
random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i20, 3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i88, i20, x, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_197(o49, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49 && x = 2
random_ArrayAccess_288(a6, x, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i8 + -1, i20 + -1, i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99' && x = 3

(15) ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Simplified expressions.

main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i8 + -1, i20 + -1, i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99' && x = 3
was transformed to
main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i8 - 1, i20 - 1, i88, 3, i33, env, static) :|: i20 - 1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 - 1 = i99' && x = 3

random_InvokeMethod_342(o191, a6, i8, i20, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191 && x = 3
was transformed to
random_InvokeMethod_342(o191, a6, i8, i20, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191 && x = 3

main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
was transformed to
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3

random_InvokeMethod_197(o49, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49 && x = 2
was transformed to
random_InvokeMethod_197(o49, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && i20' <= o49 && x = 2

random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && x = 1

(16) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_ArrayAccess_288(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_299(a6, 2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_342(o191, a6, i8, i20, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191 && x = 3
random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i20, 3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i20, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i8 - 1, i20 - 1, i88, 3, i33, env, static) :|: i20 - 1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 - 1 = i99' && x = 3
random_InvokeMethod_197(o49, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && i20' <= o49 && x = 2
main_LE_368(a6, i8, i88, i20, x, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && x = 1
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_288(a6, x, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2

(17) JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID) transformation)

Transformed 96 jbc graph edges to a weighted ITS with 96 rules.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(18) Obligation:

IntTrs with 96 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_27(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_45(o1, env, static) :|: 0 < o1
main_Load_45(o1, env, static) -{0,0}> main_Load_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{0,0}> main_Load_50(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_50(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{1,1}> main_FieldAccess_56(o1, env, static) :|: 0 < o1
main_FieldAccess_56(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_74(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_95(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_108(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_108(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_114(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_118(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_118(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_122(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_122(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i5, env, static) :|: -1 * static <= iconst_1 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_166(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_166(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_174(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_174(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_181(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_181(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_193(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_193(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_197(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_197(o49, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_203(o49, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o49 && 0 <= o49 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_203(o49, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_218(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < o49 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i20 <= o49
random_Return_218(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_233(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_233(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_272(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i20 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_272(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_288(a6, iconst_2, i8, i20, i12, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_288(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_299(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_288(a6, iconst_2, i8, i20, i33, env, static) -{0,0}> random_ArrayAccess_300(a6, iconst_2, i8, i20, i33, env, static) :|: 0 <= i20 && 3 <= i33 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_300(a6, iconst_2, i8, i20, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i20, i33, env, static) :|: 0 <= o95 && 0 <= i20 && -1 * static <= iconst_2 && 3 <= i33 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i20, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i20, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i20, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i20, iconst_3, i33, env, static') :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i20, iconst_3, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i20, iconst_3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_345(o191, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i20, iconst_3, i33, env, static) :|: i88 <= o191 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i20, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_373(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 < i8 && 0 < a6 && 0 <= i8
main_LE_373(a6, i8, i88, i20, iconst_3, i33, env, static) -{1,1}> main_Load_388(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i88 < i8 && 0 < a6 && 0 <= i8
main_Load_388(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i20, i8, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_Load_398(a6, i20, i8, i88, iconst_3, i33, env, static) -{1,1}> main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_413(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && i88 < i20 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_LE_413(a6, i20, i88, i8, iconst_3, i33, env, static) -{1,1}> main_Inc_437(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && i88 < i20 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && 1 <= i20
main_Inc_437(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Inc_443(a6, i99, i20, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && 0 <= i99 && 1 <= i20 && i8 + -1 = i99
main_Inc_443(a6, i99, i20, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_446(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99 && 1 <= i20 && i20 + -1 = i100
main_JMP_446(a6, i99, i100, i88, iconst_3, i33, env, static) -{1,1}> main_Load_449(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99
main_Load_449(a6, i99, i100, i88, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99

(19) StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

obtained
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_27(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_45(o1, env, static) :|: 0 < o1
main_Load_45(o1, env, static) -{0,0}> main_Load_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{0,0}> main_Load_50(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_50(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{1,1}> main_FieldAccess_56(o1, env, static) :|: 0 < o1
main_FieldAccess_56(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6

obtained
random_ArrayAccess_70(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0
by chaining
random_ArrayAccess_70(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_74(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_95(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5

obtained
random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12
by chaining
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_108(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_108(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_114(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_118(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_118(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_122(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_122(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i5, env, static) :|: -1 * static <= iconst_1 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5

obtained
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_166(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_166(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_174(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_174(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_181(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_181(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_193(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_193(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_197(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_197(o49, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49
by chaining
random_InvokeMethod_197(o49, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_203(o49, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o49 && 0 <= o49 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_203(o49, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_218(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < o49 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i20 <= o49
random_Return_218(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_233(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_233(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_272(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i20 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_272(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_288(a6, iconst_2, i8, i20, i12, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
random_ArrayAccess_288(a6, 2, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
by chaining
random_ArrayAccess_288(a6, iconst_2, i8, i20, i33, env, static) -{0,0}> random_ArrayAccess_300(a6, iconst_2, i8, i20, i33, env, static) :|: 0 <= i20 && 3 <= i33 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_300(a6, iconst_2, i8, i20, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i20, i33, env, static) :|: 0 <= o95 && 0 <= i20 && -1 * static <= iconst_2 && 3 <= i33 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i20, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i20, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i20, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i20, iconst_3, i33, env, static') :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i20, iconst_3, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 <= i8

obtained
random_InvokeMethod_342(o191, a6, i8, i20, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191
by chaining
random_InvokeMethod_342(o191, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_345(o191, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i20, iconst_3, i33, env, static) :|: i88 <= o191 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i20, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_Load_359(a6, i8, i20, i88, 3, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33
by chaining
main_Load_359(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_LE_368(a6, i8, i88, i20, 3, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33
by chaining
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_373(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 < i8 && 0 < a6 && 0 <= i8
main_LE_373(a6, i8, i88, i20, iconst_3, i33, env, static) -{1,1}> main_Load_388(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i88 < i8 && 0 < a6 && 0 <= i8
main_Load_388(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i20, i8, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_Load_398(a6, i20, i8, i88, iconst_3, i33, env, static) -{1,1}> main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6

obtained
main_LE_402(a6, i20, i88, i8, 3, i33, env, static) -{4,4}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99'
by chaining
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_413(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && i88 < i20 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_LE_413(a6, i20, i88, i8, iconst_3, i33, env, static) -{1,1}> main_Inc_437(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && i88 < i20 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && 1 <= i20
main_Inc_437(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Inc_443(a6, i99, i20, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && 0 <= i99 && 1 <= i20 && i8 + -1 = i99
main_Inc_443(a6, i99, i20, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_446(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99 && 1 <= i20 && i20 + -1 = i100
main_JMP_446(a6, i99, i100, i88, iconst_3, i33, env, static) -{1,1}> main_Load_449(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99
main_Load_449(a6, i99, i100, i88, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99

(20) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_197(o49, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49
random_ArrayAccess_288(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_299(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_288(a6, 2, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i20, iconst_3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i20, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191
main_Load_359(a6, i8, i20, i88, 3, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i88, i20, 3, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88
main_LE_402(a6, i20, i88, i8, 3, i33, env, static) -{4,4}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99'

(21) MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Moved arithmethic from lhss to constraints.

random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1

random_InvokeMethod_197(o49, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49
was transformed to
random_InvokeMethod_197(o49, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49 && x = 2

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

random_ArrayAccess_288(a6, 2, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
was transformed to
random_ArrayAccess_288(a6, x, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2

random_InvokeMethod_342(o191, a6, i8, i20, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191
was transformed to
random_InvokeMethod_342(o191, a6, i8, i20, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191 && x = 3

main_Load_359(a6, i8, i20, i88, 3, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33
was transformed to
main_Load_359(a6, i8, i20, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3

main_LE_402(a6, i20, i88, i8, 3, i33, env, static) -{4,4}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99'
was transformed to
main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99' && x = 3

main_LE_368(a6, i8, i88, i20, 3, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33
was transformed to
main_LE_368(a6, i8, i88, i20, x, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3

random_ArrayAccess_70(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0
was transformed to
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0

(22) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
random_InvokeMethod_197(o49, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_288(a6, x, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_342(o191, a6, i8, i20, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191 && x = 3
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88
main_Load_359(a6, i8, i20, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i20, iconst_3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_288(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_299(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99' && x = 3
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
main_LE_368(a6, i8, i88, i20, x, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0

(23) LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Linearized lhss.

random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

random_ArrayAccess_288(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_299(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
was transformed to
random_ArrayAccess_288(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_299(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2

random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(24) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_342(o191, a6, i8, i20, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191 && x = 3
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i20, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88
random_ArrayAccess_288(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_299(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i20, iconst_3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i88, i20, x, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_ArrayAccess_288(a6, x, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_197(o49, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49 && x = 2
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99' && x = 3

(25) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Moved arithmethic from constraints to rhss.

random_ArrayAccess_288(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_299(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
was transformed to
random_ArrayAccess_288(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_299(a6, 2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2

random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8
was transformed to
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8

random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88
was transformed to
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88

random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i20, iconst_3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
was transformed to
random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i20, 3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8

random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
was transformed to
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5

main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99' && x = 3
was transformed to
main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i8 + -1, i20 + -1, i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99' && x = 3

(26) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_288(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_299(a6, 2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_342(o191, a6, i8, i20, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191 && x = 3
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_359(a6, i8, i20, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88
random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i20, 3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i88, i20, x, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_197(o49, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49 && x = 2
random_ArrayAccess_288(a6, x, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i8 + -1, i20 + -1, i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99' && x = 3

(27) ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Simplified expressions.

main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i8 + -1, i20 + -1, i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 + -1 = i99' && x = 3
was transformed to
main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i8 - 1, i20 - 1, i88, 3, i33, env, static) :|: i20 - 1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 - 1 = i99' && x = 3

random_InvokeMethod_342(o191, a6, i8, i20, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191 && x = 3
was transformed to
random_InvokeMethod_342(o191, a6, i8, i20, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191 && x = 3

main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
was transformed to
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3

random_InvokeMethod_197(o49, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 <= o49 && i20' <= o49 && x = 2
was transformed to
random_InvokeMethod_197(o49, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && i20' <= o49 && x = 2

random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && x = 1

(28) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_197(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_204(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_197(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_ArrayAccess_288(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_299(a6, 2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_342(o191, a6, i8, i20, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i20, i88', 3, i33, env, static) :|: 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 0 <= i20 && 3 <= i33 && i88' <= o191 && x = 3
random_InvokeMethod_342(NULL, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i20, 3, i33, env, static) :|: NULL = 0 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i20, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && i20 <= i88
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
main_LE_402(a6, i20, i88, i8, x, i33, env, static) -{4,4}> main_Load_359(a6, i8 - 1, i20 - 1, i88, 3, i33, env, static) :|: i20 - 1 = i100' && 0 <= i99' && 1 <= i8 && 0 < a6 && 1 <= i20 && 0 <= i100' && i88 < i20 && 0 <= i88 && 3 <= i33 && 0 <= i20 && i8 - 1 = i99' && x = 3
random_InvokeMethod_197(o49, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_288(a6, 2, i8, i20', i12, env, static) :|: 0 <= i20' && 0 <= i8 && 0 < o49 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && i20' <= o49 && x = 2
main_LE_368(a6, i8, i88, i20, x, i33, env, static) -{3,3}> main_LE_402(a6, i20, i88, i8, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i88 < i8 && 1 <= i8 && 0 <= i88 && 0 <= i20 && 3 <= i33 && x = 3
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i88, i20, 3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 0 < a6 && 0 <= i8
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && x = 1
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_288(a6, x, i8, i20, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i20, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 0 <= i20 && 0 <= static && 3 <= i33 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2

(29) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(138)) transformation)

Extracted set of 88 edges for the analysis of TIME complexity. Dropped leaves.

(30) Obligation:

Set of 88 edges based on JBC Program.
Performed SCC analyses:
  • Used field analysis yielded the following read fields:

Considered paths: all paths from start

(31) JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID) transformation)

Transformed 88 jbc graph edges to a weighted ITS with 88 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Filtered fields of type java.lang.Object.
Did no encode lower bounds for putfield and astore.

(32) Obligation:

IntTrs with 88 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_27(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_45(o1, env, static) :|: 0 < o1
main_Load_45(o1, env, static) -{0,0}> main_Load_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{0,0}> main_Load_50(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_50(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{1,1}> main_FieldAccess_56(o1, env, static) :|: 0 < o1
main_FieldAccess_56(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_74(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_95(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_108(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_108(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_114(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_118(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_118(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_122(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_122(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i5, env, static) :|: -1 * static <= iconst_1 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_166(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_166(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_174(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_174(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_181(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_181(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_193(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_193(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_197(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_197(o49, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_203(o49, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o49 && 0 <= o49 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_203(o49, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_218(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < o49 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i20 <= o49
random_Return_218(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_233(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_233(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_272(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i20 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_272(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_288(a6, iconst_2, i8, i20, i12, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_288(a6, iconst_2, i8, i20, i33, env, static) -{0,0}> random_ArrayAccess_300(a6, iconst_2, i8, i20, i33, env, static) :|: 0 <= i20 && 3 <= i33 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_300(a6, iconst_2, i8, i20, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i20, i33, env, static) :|: 0 <= o95 && 0 <= i20 && -1 * static <= iconst_2 && 3 <= i33 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i20, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i20, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i20, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i20, iconst_3, i33, env, static') :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i20, iconst_3, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_345(o191, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i20, iconst_3, i33, env, static) :|: i88 <= o191 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i20, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_373(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 < i8 && 0 < a6 && 0 <= i8
main_LE_373(a6, i8, i88, i20, iconst_3, i33, env, static) -{1,1}> main_Load_388(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i88 < i8 && 0 < a6 && 0 <= i8
main_Load_388(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i20, i8, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_Load_398(a6, i20, i8, i88, iconst_3, i33, env, static) -{1,1}> main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_413(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && i88 < i20 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_LE_413(a6, i20, i88, i8, iconst_3, i33, env, static) -{1,1}> main_Inc_437(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && i88 < i20 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && 1 <= i20
main_Inc_437(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Inc_443(a6, i99, i20, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && 0 <= i99 && 1 <= i20 && i8 + -1 = i99
main_Inc_443(a6, i99, i20, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_446(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99 && 1 <= i20 && i20 + -1 = i100
main_JMP_446(a6, i99, i100, i88, iconst_3, i33, env, static) -{1,1}> main_Load_449(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99
main_Load_449(a6, i99, i100, i88, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99

(33) StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

obtained
main_Load_1(o1, env, static) -{59,59}> main_Load_359(o1, i8', i20', i88', 3, i4', env, static'6) :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o95' && 0 <= i88' && i4' < o1 && static'1 <= static''' + 1 && 0 <= i20' && 3 <= i4' && o95' < o1 && 2 <= static'5 && 0 <= o25' && i88' <= o95' && -1 * static'5 <= 2 && 0 <= 2 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && i8' <= o8' && 0 < o8' && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 <= static'3 && 0 < 2 && -1 * static'4 <= 1 && 0 <= o8' && 1 <= static'4 && 0 <= o1 && 0 < o25' && o25' < o1 && o1 <= static'5 && 0 <= i4' && 0 <= static'5 && 2 <= i4' && static'4 <= static'3 + 1 && 0 <= 1 && i20' <= o25' && 0 < 1 && static'6 <= static'5 + 3 && 0 <= o95'
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_12(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_14(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_16(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_16(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_20(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_20(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_23(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_25(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_25(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_27(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_27(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_45(o1, env, static) :|: 0 < o1
main_Load_45(o1, env, static) -{0,0}> main_Load_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{0,0}> main_Load_50(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_50(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{1,1}> main_FieldAccess_56(o1, env, static) :|: 0 < o1
main_FieldAccess_56(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_74(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_95(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_108(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_108(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_114(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_118(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_118(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_122(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_122(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i5, env, static) :|: -1 * static <= iconst_1 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_166(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_166(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_174(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_174(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_181(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_181(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_193(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_193(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_197(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_197(o49, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_203(o49, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o49 && 0 <= o49 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_203(o49, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_218(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < o49 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i20 <= o49
random_Return_218(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_233(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_233(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_272(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i20 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_272(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_288(a6, iconst_2, i8, i20, i12, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_288(a6, iconst_2, i8, i20, i33, env, static) -{0,0}> random_ArrayAccess_300(a6, iconst_2, i8, i20, i33, env, static) :|: 0 <= i20 && 3 <= i33 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_300(a6, iconst_2, i8, i20, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i20, i33, env, static) :|: 0 <= o95 && 0 <= i20 && -1 * static <= iconst_2 && 3 <= i33 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i20, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i20, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i20, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i20, iconst_2, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i20, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i20, iconst_3, i33, env, static') :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i20, iconst_3, i33, env, static) :|: 0 <= o95 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i20, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_345(o191, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i20, iconst_3, i33, env, static) :|: i88 <= o191 && 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i20, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i20, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_Load_359(a6, i8, i20, i88, 3, i33, env, static) -{9,9}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 0 <= i8 && 0 < a6 && i88 < i20 && 0 <= i100' && 1 <= i20 && 0 <= i88 && i88 < i8 && 3 <= i33 && 1 <= i8 && 0 <= i20 && i8 + -1 = i99'
by chaining
main_Load_359(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i88, i20, iconst_3, i33, env, static) -{0,0}> main_LE_373(a6, i8, i88, i20, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && i88 < i8 && 0 < a6 && 0 <= i8
main_LE_373(a6, i8, i88, i20, iconst_3, i33, env, static) -{1,1}> main_Load_388(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i88 < i8 && 0 < a6 && 0 <= i8
main_Load_388(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i20, i8, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_Load_398(a6, i20, i8, i88, iconst_3, i33, env, static) -{1,1}> main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_LE_402(a6, i20, i88, i8, iconst_3, i33, env, static) -{0,0}> main_LE_413(a6, i20, i88, i8, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && i88 < i20 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_LE_413(a6, i20, i88, i8, iconst_3, i33, env, static) -{1,1}> main_Inc_437(a6, i8, i20, i88, iconst_3, i33, env, static) :|: 0 <= i20 && 3 <= i33 && i88 < i20 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && 1 <= i20
main_Inc_437(a6, i8, i20, i88, iconst_3, i33, env, static) -{1,1}> main_Inc_443(a6, i99, i20, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6 && 0 <= i99 && 1 <= i20 && i8 + -1 = i99
main_Inc_443(a6, i99, i20, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_446(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99 && 1 <= i20 && i20 + -1 = i100
main_JMP_446(a6, i99, i100, i88, iconst_3, i33, env, static) -{1,1}> main_Load_449(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99
main_Load_449(a6, i99, i100, i88, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i99, i100, i88, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 0 <= i100 && 0 < a6 && 0 <= i99

(34) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, env, static) -{59,59}> main_Load_359(o1, i8', i20', i88', 3, i4', env, static'6) :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o95' && 0 <= i88' && i4' < o1 && static'1 <= static''' + 1 && 0 <= i20' && 3 <= i4' && o95' < o1 && 2 <= static'5 && 0 <= o25' && i88' <= o95' && -1 * static'5 <= 2 && 0 <= 2 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && i8' <= o8' && 0 < o8' && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 <= static'3 && 0 < 2 && -1 * static'4 <= 1 && 0 <= o8' && 1 <= static'4 && 0 <= o1 && 0 < o25' && o25' < o1 && o1 <= static'5 && 0 <= i4' && 0 <= static'5 && 2 <= i4' && static'4 <= static'3 + 1 && 0 <= 1 && i20' <= o25' && 0 < 1 && static'6 <= static'5 + 3 && 0 <= o95'
main_Load_359(a6, i8, i20, i88, 3, i33, env, static) -{9,9}> main_Load_359(a6, i99', i100', i88, 3, i33, env, static) :|: i20 + -1 = i100' && 0 <= i99' && 0 <= i8 && 0 < a6 && i88 < i20 && 0 <= i100' && 1 <= i20 && 0 <= i88 && i88 < i8 && 3 <= i33 && 1 <= i8 && 0 <= i20 && i8 + -1 = i99'

(35) WeightedIntTrsUnneededArgumentFilterProof (CONCRETE UPPER BOUND(ID) transformation)

Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements:

main_Load_1(x1, x2, x3) → main_Load_1(x1, x3)
main_Load_359(x1, x2, x3, x4, x5, x6, x7, x8) → main_Load_359(x1, x2, x3, x4, x6)

(36) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, static) -{59,59}> main_Load_359(o1, i8', i20', i88', i4') :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o95' && 0 <= i88' && i4' < o1 && static'1 <= static''' + 1 && 0 <= i20' && 3 <= i4' && o95' < o1 && 2 <= static'5 && 0 <= o25' && i88' <= o95' && -1 * static'5 <= 2 && 0 <= 2 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && i8' <= o8' && 0 < o8' && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 <= static'3 && 0 < 2 && -1 * static'4 <= 1 && 0 <= o8' && 1 <= static'4 && 0 <= o1 && 0 < o25' && o25' < o1 && o1 <= static'5 && 0 <= i4' && 0 <= static'5 && 2 <= i4' && static'4 <= static'3 + 1 && 0 <= 1 && i20' <= o25' && 0 < 1 && static'6 <= static'5 + 3 && 0 <= o95'
main_Load_359(a6, i8, i20, i88, i33) -{9,9}> main_Load_359(a6, i99', i100', i88, i33) :|: i20 + -1 = i100' && 0 <= i99' && 0 <= i8 && 0 < a6 && i88 < i20 && 0 <= i100' && 1 <= i20 && 0 <= i88 && i88 < i8 && 3 <= i33 && 1 <= i8 && 0 <= i20 && i8 + -1 = i99'

(37) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Moved arithmethic from constraints to rhss.

main_Load_359(a6, i8, i20, i88, i33) -{9,9}> main_Load_359(a6, i99', i100', i88, i33) :|: i20 + -1 = i100' && 0 <= i99' && 0 <= i8 && 0 < a6 && i88 < i20 && 0 <= i100' && 1 <= i20 && 0 <= i88 && i88 < i8 && 3 <= i33 && 1 <= i8 && 0 <= i20 && i8 + -1 = i99'
was transformed to
main_Load_359(a6, i8, i20, i88, i33) -{9,9}> main_Load_359(a6, i8 + -1, i20 + -1, i88, i33) :|: i20 + -1 = i100' && 0 <= i99' && 0 <= i8 && 0 < a6 && i88 < i20 && 0 <= i100' && 1 <= i20 && 0 <= i88 && i88 < i8 && 3 <= i33 && 1 <= i8 && 0 <= i20 && i8 + -1 = i99'

(38) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_359(a6, i8, i20, i88, i33) -{9,9}> main_Load_359(a6, i8 + -1, i20 + -1, i88, i33) :|: i20 + -1 = i100' && 0 <= i99' && 0 <= i8 && 0 < a6 && i88 < i20 && 0 <= i100' && 1 <= i20 && 0 <= i88 && i88 < i8 && 3 <= i33 && 1 <= i8 && 0 <= i20 && i8 + -1 = i99'
main_Load_1(o1, static) -{59,59}> main_Load_359(o1, i8', i20', i88', i4') :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o95' && 0 <= i88' && i4' < o1 && static'1 <= static''' + 1 && 0 <= i20' && 3 <= i4' && o95' < o1 && 2 <= static'5 && 0 <= o25' && i88' <= o95' && -1 * static'5 <= 2 && 0 <= 2 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && i8' <= o8' && 0 < o8' && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 <= static'3 && 0 < 2 && -1 * static'4 <= 1 && 0 <= o8' && 1 <= static'4 && 0 <= o1 && 0 < o25' && o25' < o1 && o1 <= static'5 && 0 <= i4' && 0 <= static'5 && 2 <= i4' && static'4 <= static'3 + 1 && 0 <= 1 && i20' <= o25' && 0 < 1 && static'6 <= static'5 + 3 && 0 <= o95'

(39) ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

Simplified expressions.

main_Load_1(o1, static) -{59,59}> main_Load_359(o1, i8', i20', i88', i4') :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o95' && 0 <= i88' && i4' < o1 && static'1 <= static''' + 1 && 0 <= i20' && 3 <= i4' && o95' < o1 && 2 <= static'5 && 0 <= o25' && i88' <= o95' && -1 * static'5 <= 2 && 0 <= 2 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && i8' <= o8' && 0 < o8' && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 <= static'3 && 0 < 2 && -1 * static'4 <= 1 && 0 <= o8' && 1 <= static'4 && 0 <= o1 && 0 < o25' && o25' < o1 && o1 <= static'5 && 0 <= i4' && 0 <= static'5 && 2 <= i4' && static'4 <= static'3 + 1 && 0 <= 1 && i20' <= o25' && 0 < 1 && static'6 <= static'5 + 3 && 0 <= o95'
was transformed to
main_Load_1(o1, static) -{59,59}> main_Load_359(o1, i8', i20', i88', i4') :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o95' && 0 <= i88' && i4' < o1 && static'1 <= static''' + 1 && 0 <= i20' && 3 <= i4' && o95' < o1 && 2 <= static'5 && i88' <= o95' && -1 * static'5 <= 2 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && i8' <= o8' && 0 < o8' && static'2 <= static'1 && -1 * static'3 <= 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 <= static'3 && -1 * static'4 <= 1 && 1 <= static'4 && 0 < o25' && o25' < o1 && o1 <= static'5 && 0 <= i4' && 0 <= static'5 && 2 <= i4' && static'4 <= static'3 + 1 && i20' <= o25' && static'6 <= static'5 + 3

main_Load_359(a6, i8, i20, i88, i33) -{9,9}> main_Load_359(a6, i8 + -1, i20 + -1, i88, i33) :|: i20 + -1 = i100' && 0 <= i99' && 0 <= i8 && 0 < a6 && i88 < i20 && 0 <= i100' && 1 <= i20 && 0 <= i88 && i88 < i8 && 3 <= i33 && 1 <= i8 && 0 <= i20 && i8 + -1 = i99'
was transformed to
main_Load_359(a6, i8, i20, i88, i33) -{9,9}> main_Load_359(a6, i8 - 1, i20 - 1, i88, i33) :|: i20 - 1 = i100' && 0 <= i99' && 0 <= i8 && 0 < a6 && i88 < i20 && 0 <= i100' && 1 <= i20 && 0 <= i88 && i88 < i8 && 3 <= i33 && 1 <= i8 && 0 <= i20 && i8 - 1 = i99'

(40) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_359(a6, i8, i20, i88, i33) -{9,9}> main_Load_359(a6, i8 - 1, i20 - 1, i88, i33) :|: i20 - 1 = i100' && 0 <= i99' && 0 <= i8 && 0 < a6 && i88 < i20 && 0 <= i100' && 1 <= i20 && 0 <= i88 && i88 < i8 && 3 <= i33 && 1 <= i8 && 0 <= i20 && i8 - 1 = i99'
main_Load_1(o1, static) -{59,59}> main_Load_359(o1, i8', i20', i88', i4') :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o95' && 0 <= i88' && i4' < o1 && static'1 <= static''' + 1 && 0 <= i20' && 3 <= i4' && o95' < o1 && 2 <= static'5 && i88' <= o95' && -1 * static'5 <= 2 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && i8' <= o8' && 0 < o8' && static'2 <= static'1 && -1 * static'3 <= 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 <= static'3 && -1 * static'4 <= 1 && 1 <= static'4 && 0 < o25' && o25' < o1 && o1 <= static'5 && 0 <= i4' && 0 <= static'5 && 2 <= i4' && static'4 <= static'3 + 1 && i20' <= o25' && static'6 <= static'5 + 3

(41) koat Proof (EQUIVALENT transformation)

YES(?, 9*ar_0 + 59)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 9) main_Load_359(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_2 - 1 = i100' /\ 0 <= i99' /\ 0 <= ar_1 /\ 0 < ar_0 /\ ar_3 < ar_2 /\ 0 <= i100' /\ 1 <= ar_2 /\ 0 <= ar_3 /\ ar_3 < ar_1 /\ 3 <= ar_4 /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 - 1 = i99' ]
(Comp: ?, Cost: 59) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, i8', i20', i88', i4')) [ 1 <= i4' /\ 0 <= i8' /\ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 0 < o95' /\ 0 <= i88' /\ i4' < ar_0 /\ static'1 <= static''' + 1 /\ 0 <= i20' /\ 3 <= i4' /\ o95' < ar_0 /\ 2 <= static'5 /\ i88' <= o95' /\ -static'5 <= 2 /\ 0 <= static'2 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ i8' <= o8' /\ 0 < o8' /\ static'2 <= static'1 /\ -static'3 <= 0 /\ ar_0 <= static'3 /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_1 /\ 0 <= static''' /\ 0 <= static'3 /\ -static'4 <= 1 /\ 1 <= static'4 /\ 0 < o25' /\ o25' < ar_0 /\ ar_0 <= static'5 /\ 0 <= i4' /\ 0 <= static'5 /\ 2 <= i4' /\ static'4 <= static'3 + 1 /\ i20' <= o25' /\ static'6 <= static'5 + 3 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: ?, Cost: 9) main_Load_359(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_2 - 1 = i100' /\ 0 <= i99' /\ 0 <= ar_1 /\ 0 < ar_0 /\ ar_3 < ar_2 /\ 0 <= i100' /\ 1 <= ar_2 /\ 0 <= ar_3 /\ ar_3 < ar_1 /\ 3 <= ar_4 /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 - 1 = i99' ]
(Comp: 1, Cost: 59) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, i8', i20', i88', i4')) [ 1 <= i4' /\ 0 <= i8' /\ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 0 < o95' /\ 0 <= i88' /\ i4' < ar_0 /\ static'1 <= static''' + 1 /\ 0 <= i20' /\ 3 <= i4' /\ o95' < ar_0 /\ 2 <= static'5 /\ i88' <= o95' /\ -static'5 <= 2 /\ 0 <= static'2 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ i8' <= o8' /\ 0 < o8' /\ static'2 <= static'1 /\ -static'3 <= 0 /\ ar_0 <= static'3 /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_1 /\ 0 <= static''' /\ 0 <= static'3 /\ -static'4 <= 1 /\ 1 <= static'4 /\ 0 < o25' /\ o25' < ar_0 /\ ar_0 <= static'5 /\ 0 <= i4' /\ 0 <= static'5 /\ 2 <= i4' /\ static'4 <= static'3 + 1 /\ i20' <= o25' /\ static'6 <= static'5 + 3 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_Load_359) = V_2 + 1
Pol(main_Load_1) = V_1
Pol(koat_start) = V_1
orients all transitions weakly and the transition
main_Load_359(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_2 - 1 = i100' /\ 0 <= i99' /\ 0 <= ar_1 /\ 0 < ar_0 /\ ar_3 < ar_2 /\ 0 <= i100' /\ 1 <= ar_2 /\ 0 <= ar_3 /\ ar_3 < ar_1 /\ 3 <= ar_4 /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 - 1 = i99' ]
strictly and produces the following problem:
3: T:
(Comp: ar_0, Cost: 9) main_Load_359(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_2 - 1 = i100' /\ 0 <= i99' /\ 0 <= ar_1 /\ 0 < ar_0 /\ ar_3 < ar_2 /\ 0 <= i100' /\ 1 <= ar_2 /\ 0 <= ar_3 /\ ar_3 < ar_1 /\ 3 <= ar_4 /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 - 1 = i99' ]
(Comp: 1, Cost: 59) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, i8', i20', i88', i4')) [ 1 <= i4' /\ 0 <= i8' /\ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 0 < o95' /\ 0 <= i88' /\ i4' < ar_0 /\ static'1 <= static''' + 1 /\ 0 <= i20' /\ 3 <= i4' /\ o95' < ar_0 /\ 2 <= static'5 /\ i88' <= o95' /\ -static'5 <= 2 /\ 0 <= static'2 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ i8' <= o8' /\ 0 < o8' /\ static'2 <= static'1 /\ -static'3 <= 0 /\ ar_0 <= static'3 /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_1 /\ 0 <= static''' /\ 0 <= static'3 /\ -static'4 <= 1 /\ 1 <= static'4 /\ 0 < o25' /\ o25' < ar_0 /\ ar_0 <= static'5 /\ 0 <= i4' /\ 0 <= static'5 /\ 2 <= i4' /\ static'4 <= static'3 + 1 /\ i20' <= o25' /\ static'6 <= static'5 + 3 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 9*ar_0 + 59

Time: 0.271 sec (SMT: 0.225 sec)

(42) BOUNDS(CONSTANT, 59 + 9 * |args|)