The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 149).

(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 PastaB3 {
    public static void main(String[] args) {
        Random.args = args;
        int x = Random.random();
        int y = Random.random();

        if (x > 0) {
            while (x > y) {
                y = 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:
PastaB3.main([Ljava/lang/String;)V: Graph of 175 nodes with 1 SCC.

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(93)) transformation)

Extracted set of 74 edges for the analysis of TIME complexity. Dropped leaves.

(4) Obligation:

Set of 74 edges based on JBC Program.
Performed SCC analyses:

• Used field analysis yielded the following read fields:
  

Considered paths: all paths from start

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

Transformed 74 jbc graph edges to a weighted ITS with 74 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.

(6) Obligation:

IntTrs with 74 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(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_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(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_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(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_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(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_24(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_26(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_26(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_30(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_35(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_37(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_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{0,0}> main_Load_49(o1, env, static) :|: 0 < o1
main_Load_49(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{1,1}> main_FieldAccess_57(o1, env, static) :|: 0 < o1
main_FieldAccess_57(o1, env, static) -{0,0}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(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_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(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_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_112(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_116(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_137(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_165(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_165(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_176(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_176(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_182(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_182(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_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_229(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i21 <= o50
random_Return_229(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_239(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_239(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_Load_247(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_247(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> main_LE_251(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_251(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_257(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 <= i22 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_257(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, iconst_2, i12, env, static) :|: 0 < i22 && 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_261(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_265(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_265(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_LE_269(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_276(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && i21 < i22 && iconst_2 = 2
main_LE_276(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_308(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && i21 < i22 && iconst_2 = 2
main_Load_308(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_319(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_319(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_336(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_IntArithmetic_336(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Store_342(a6, i25, i22, iconst_2, i12, env, static) :|: 1 <= i25 && 0 <= i21 && i22 + i21 = i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Store_342(a6, i25, i22, iconst_2, i12, env, static) -{1,1}> main_JMP_347(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_JMP_347(a6, i22, i25, iconst_2, i12, env, static) -{1,1}> main_Load_360(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_360(a6, i22, i25, iconst_2, i12, env, static) -{0,0}> main_Load_261(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 0 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2

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

obtained
main_Load_2(o1, env, static) -{48,48}> main_Load_261(o1, i8', i21', 2, i4', env, static'5) :|: 1 <= i4' && static'5 <= static'4 + 2 && 1 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 2 <= i4' && 0 <= o25' && 0 < i8' && 0 <= i21' && 0 <= 2 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && i8' <= o8' && 0 <= o1 && 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' && 0 < o25' && 1 <= static'4 && o25' < o1 && 0 <= i4' && 0 <= i8' && static'4 <= static'3 + 1 && 0 <= 1 && 0 < 1 && i21' <= o25'
by chaining
main_Load_2(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_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(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_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(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_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(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_24(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_26(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_26(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_30(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_35(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_37(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_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{0,0}> main_Load_49(o1, env, static) :|: 0 < o1
main_Load_49(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{1,1}> main_FieldAccess_57(o1, env, static) :|: 0 < o1
main_FieldAccess_57(o1, env, static) -{0,0}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(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_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(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_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_112(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_116(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_137(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_165(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_165(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_176(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_176(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_182(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_182(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_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_229(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i21 <= o50
random_Return_229(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_239(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_239(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_Load_247(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_247(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> main_LE_251(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_251(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_257(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 <= i22 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_257(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, iconst_2, i12, env, static) :|: 0 < i22 && 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2

obtained
main_Load_261(a6, i22, i21, 2, i12, env, static) -{8,8}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21
by chaining
main_Load_261(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_265(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_265(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_LE_269(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_276(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && i21 < i22 && iconst_2 = 2
main_LE_276(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_308(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && i21 < i22 && iconst_2 = 2
main_Load_308(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_319(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_319(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_336(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_IntArithmetic_336(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Store_342(a6, i25, i22, iconst_2, i12, env, static) :|: 1 <= i25 && 0 <= i21 && i22 + i21 = i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Store_342(a6, i25, i22, iconst_2, i12, env, static) -{1,1}> main_JMP_347(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_JMP_347(a6, i22, i25, iconst_2, i12, env, static) -{1,1}> main_Load_360(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_360(a6, i22, i25, iconst_2, i12, env, static) -{0,0}> main_Load_261(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 0 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2

(8) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, env, static) -{48,48}> main_Load_261(o1, i8', i21', 2, i4', env, static'5) :|: 1 <= i4' && static'5 <= static'4 + 2 && 1 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 2 <= i4' && 0 <= o25' && 0 < i8' && 0 <= i21' && 0 <= 2 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && i8' <= o8' && 0 <= o1 && 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' && 0 < o25' && 1 <= static'4 && o25' < o1 && 0 <= i4' && 0 <= i8' && static'4 <= static'3 + 1 && 0 <= 1 && 0 < 1 && i21' <= o25'
main_Load_261(a6, i22, i21, 2, i12, env, static) -{8,8}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21

(9) 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_2(x1, x2, x3) → main_Load_2(x1, x3)
main_Load_261(x1, x2, x3, x4, x5, x6, x7) → main_Load_261(x1, x2, x3, x5)

(10) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, static) -{48,48}> main_Load_261(o1, i8', i21', i4') :|: 1 <= i4' && static'5 <= static'4 + 2 && 1 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 2 <= i4' && 0 <= o25' && 0 < i8' && 0 <= i21' && 0 <= 2 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && i8' <= o8' && 0 <= o1 && 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' && 0 < o25' && 1 <= static'4 && o25' < o1 && 0 <= i4' && 0 <= i8' && static'4 <= static'3 + 1 && 0 <= 1 && 0 < 1 && i21' <= o25'
main_Load_261(a6, i22, i21, i12) -{8,8}> main_Load_261(a6, i22, i25', i12) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21

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

Moved arithmethic from constraints to rhss.

main_Load_261(a6, i22, i21, i12) -{8,8}> main_Load_261(a6, i22, i25', i12) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21
was transformed to
main_Load_261(a6, i22, i21, i12) -{8,8}> main_Load_261(a6, i22, i22 + i21, i12) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21

(12) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_261(a6, i22, i21, i12) -{8,8}> main_Load_261(a6, i22, i22 + i21, i12) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21
main_Load_2(o1, static) -{48,48}> main_Load_261(o1, i8', i21', i4') :|: 1 <= i4' && static'5 <= static'4 + 2 && 1 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 2 <= i4' && 0 <= o25' && 0 < i8' && 0 <= i21' && 0 <= 2 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && i8' <= o8' && 0 <= o1 && 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' && 0 < o25' && 1 <= static'4 && o25' < o1 && 0 <= i4' && 0 <= i8' && static'4 <= static'3 + 1 && 0 <= 1 && 0 < 1 && i21' <= o25'

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

Simplified expressions.

main_Load_2(o1, static) -{48,48}> main_Load_261(o1, i8', i21', i4') :|: 1 <= i4' && static'5 <= static'4 + 2 && 1 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 2 <= i4' && 0 <= o25' && 0 < i8' && 0 <= i21' && 0 <= 2 && 0 <= static'2 && o8' < o1 && 0 <= static'4 && o1 <= static'4 && i8' <= o8' && 0 <= o1 && 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' && 0 < o25' && 1 <= static'4 && o25' < o1 && 0 <= i4' && 0 <= i8' && static'4 <= static'3 + 1 && 0 <= 1 && 0 < 1 && i21' <= o25'
was transformed to
main_Load_2(o1, static) -{48,48}> main_Load_261(o1, i8', i21', i4') :|: 1 <= i4' && static'5 <= static'4 + 2 && 1 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 2 <= i4' && 0 < i8' && 0 <= i21' && 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 && 0 < o25' && 1 <= static'4 && o25' < o1 && 0 <= i4' && static'4 <= static'3 + 1 && i21' <= o25'

(14) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, static) -{48,48}> main_Load_261(o1, i8', i21', i4') :|: 1 <= i4' && static'5 <= static'4 + 2 && 1 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 2 <= i4' && 0 < i8' && 0 <= i21' && 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 && 0 < o25' && 1 <= static'4 && o25' < o1 && 0 <= i4' && static'4 <= static'3 + 1 && i21' <= o25'
main_Load_261(a6, i22, i21, i12) -{8,8}> main_Load_261(a6, i22, i22 + i21, i12) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21

(15) koat Proof (EQUIVALENT transformation)

YES(?, 56)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 48) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_261(ar_0, i8', i21', i4')) [ 1 <= i4' /\ static'5 <= static'4 + 2 /\ 1 <= i8' /\ i4' < ar_0 /\ 0 < ar_0 /\ static'1 <= static''' + 1 /\ 2 <= i4' /\ 0 < i8' /\ 0 <= i21' /\ 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 /\ 0 < o25' /\ 1 <= static'4 /\ o25' < ar_0 /\ 0 <= i4' /\ static'4 <= static'3 + 1 /\ i21' <= o25' ]
(Comp: ?, Cost: 8) main_Load_261(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_261(ar_0, ar_1, ar_1 + ar_2, ar_3)) [ ar_1 + ar_2 = i25' /\ 1 <= i25' /\ 1 <= ar_1 /\ ar_2 < ar_1 /\ 0 < ar_0 /\ 2 <= ar_3 /\ 0 <= i25' /\ 0 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: 1, Cost: 48) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_261(ar_0, i8', i21', i4')) [ 1 <= i4' /\ static'5 <= static'4 + 2 /\ 1 <= i8' /\ i4' < ar_0 /\ 0 < ar_0 /\ static'1 <= static''' + 1 /\ 2 <= i4' /\ 0 < i8' /\ 0 <= i21' /\ 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 /\ 0 < o25' /\ 1 <= static'4 /\ o25' < ar_0 /\ 0 <= i4' /\ static'4 <= static'3 + 1 /\ i21' <= o25' ]
(Comp: 1, Cost: 8) main_Load_261(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_261(ar_0, ar_1, ar_1 + ar_2, ar_3)) [ ar_1 + ar_2 = i25' /\ 1 <= i25' /\ 1 <= ar_1 /\ ar_2 < ar_1 /\ 0 < ar_0 /\ 2 <= ar_3 /\ 0 <= i25' /\ 0 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 56

Time: 0.163 sec (SMT: 0.152 sec)

(16) BOUNDS(CONSTANT, 56)

(17) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(93)) transformation)

Extracted set of 80 edges for the analysis of TIME complexity. Kept leaves.

(18) Obligation:

Set of 80 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

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

Transformed 80 jbc graph edges to a weighted ITS with 80 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.

(20) Obligation:

IntTrs with 80 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(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_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(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_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(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_24(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_26(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_26(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_30(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_35(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_37(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_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{0,0}> main_Load_49(o1, env, static) :|: 0 < o1
main_Load_49(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{1,1}> main_FieldAccess_57(o1, env, static) :|: 0 < o1
main_FieldAccess_57(o1, env, static) -{0,0}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(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_71(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_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(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_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_112(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_116(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_137(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_165(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_165(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_176(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_176(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_182(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_182(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_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_229(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i21 <= o50
random_Return_229(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_239(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_239(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_Load_247(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_247(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> main_LE_251(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_251(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_257(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 <= i22 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_257(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, iconst_2, i12, env, static) :|: 0 < i22 && 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_261(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_265(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_265(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_LE_269(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_276(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && i21 < i22 && iconst_2 = 2
main_LE_276(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_308(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && i21 < i22 && iconst_2 = 2
main_Load_308(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_319(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_319(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_336(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_IntArithmetic_336(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Store_342(a6, i25, i22, iconst_2, i12, env, static) :|: 1 <= i25 && 0 <= i21 && i22 + i21 = i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Store_342(a6, i25, i22, iconst_2, i12, env, static) -{1,1}> main_JMP_347(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_JMP_347(a6, i22, i25, iconst_2, i12, env, static) -{1,1}> main_Load_360(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_360(a6, i22, i25, iconst_2, i12, env, static) -{0,0}> main_Load_261(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 0 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2

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

obtained
main_Load_2(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_2(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_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(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_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(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_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(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_24(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_26(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_26(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_30(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_35(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_37(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_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{0,0}> main_Load_49(o1, env, static) :|: 0 < o1
main_Load_49(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{1,1}> main_FieldAccess_57(o1, env, static) :|: 0 < o1
main_FieldAccess_57(o1, env, static) -{0,0}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(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_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(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_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_112(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_116(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_137(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_213(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_165(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_165(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_176(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_176(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_182(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_182(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_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50
by chaining
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_229(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i21 <= o50
random_Return_229(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_239(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_239(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_Load_247(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_247(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> main_LE_251(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
main_LE_251(a6, i22, i21, 2, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22
by chaining
main_LE_251(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_257(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 <= i22 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_257(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, iconst_2, i12, env, static) :|: 0 < i22 && 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2

obtained
main_Load_261(a6, i22, i21, 2, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12
by chaining
main_Load_261(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_265(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_265(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_LE_269(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2

obtained
main_LE_269(a6, i22, i21, 2, i12, env, static) -{6,6}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21
by chaining
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_276(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && i21 < i22 && iconst_2 = 2
main_LE_276(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_308(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && i21 < i22 && iconst_2 = 2
main_Load_308(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_319(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_319(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_336(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_IntArithmetic_336(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Store_342(a6, i25, i22, iconst_2, i12, env, static) :|: 1 <= i25 && 0 <= i21 && i22 + i21 = i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Store_342(a6, i25, i22, iconst_2, i12, env, static) -{1,1}> main_JMP_347(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_JMP_347(a6, i22, i25, iconst_2, i12, env, static) -{1,1}> main_Load_360(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_360(a6, i22, i25, iconst_2, i12, env, static) -{0,0}> main_Load_261(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 0 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2

(22) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_71(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_213(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_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50
main_LE_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_251(a6, i22, i21, 2, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22
main_Load_261(a6, i22, i21, 2, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_269(a6, i22, i21, 2, i12, env, static) -{6,6}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21

(23) 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_213(o50, a6, i8, 2, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2

main_Load_261(a6, i22, i21, 2, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12
was transformed to
main_Load_261(a6, i22, i21, x, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12 && x = 2

main_LE_269(a6, i22, i21, 2, i12, env, static) -{6,6}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21
was transformed to
main_LE_269(a6, i22, i21, x, i12, env, static) -{6,6}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21 && x = 2

main_LE_251(a6, i22, i21, 2, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22
was transformed to
main_LE_251(a6, i22, i21, x, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22 && x = 2

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_213(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, 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

(24) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_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_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_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
main_Load_261(a6, i22, i21, x, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12 && x = 2
main_LE_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_269(a6, i22, i21, x, i12, env, static) -{6,6}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21 && x = 2
main_LE_251(a6, i22, i21, x, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
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
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6

(25) 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_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(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_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(26) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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
main_LE_269(a6, i22, i21, x, i12, env, static) -{6,6}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21 && x = 2
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
main_LE_251(a6, i22, i21, x, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22 && x = 2
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
main_LE_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_Load_261(a6, i22, i21, x, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12 && x = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
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
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 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
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

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

Moved arithmethic from constraints to rhss.

main_LE_269(a6, i22, i21, x, i12, env, static) -{6,6}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21 && x = 2
was transformed to
main_LE_269(a6, i22, i21, x, i12, env, static) -{6,6}> main_Load_261(a6, i22, i22 + i21, 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21 && x = 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_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
was transformed to
main_LE_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, 0, i21, 2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2

random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(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_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(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_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 2
was transformed to
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, 2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 2

(28) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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
main_LE_269(a6, i22, i21, x, i12, env, static) -{6,6}> main_Load_261(a6, i22, i22 + i21, 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_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_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_251(a6, i22, i21, x, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22 && x = 2
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
main_LE_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, 0, i21, 2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_Load_261(a6, i22, i21, x, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12 && x = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 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_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
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_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, 2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 2

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

Simplified expressions.

main_Load_2(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_2(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_251(a6, i22, i21, x, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22 && x = 2
was transformed to
main_LE_251(a6, i22, i21, x, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 2 <= i12 && 0 <= i21 && 0 < i22 && x = 2

random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 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

(30) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(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_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, 0, i21, 2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_Load_2(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_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && x = 2
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
main_Load_261(a6, i22, i21, x, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12 && x = 2
main_LE_251(a6, i22, i21, x, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 2 <= i12 && 0 <= i21 && 0 < i22 && x = 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
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, 2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_269(a6, i22, i21, x, i12, env, static) -{6,6}> main_Load_261(a6, i22, i22 + i21, 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21 && x = 2

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

Transformed 80 jbc graph edges to a weighted ITS with 80 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.

(32) Obligation:

IntTrs with 80 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(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_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(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_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(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_24(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_26(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_26(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_30(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_35(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_37(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_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{0,0}> main_Load_49(o1, env, static) :|: 0 < o1
main_Load_49(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{1,1}> main_FieldAccess_57(o1, env, static) :|: 0 < o1
main_FieldAccess_57(o1, env, static) -{0,0}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(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_71(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_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(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_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_112(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_116(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_137(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_165(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_165(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_176(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_176(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_182(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_182(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_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_229(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i21 <= o50
random_Return_229(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_239(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_239(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_Load_247(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_247(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> main_LE_251(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_251(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_257(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 <= i22 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_257(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, iconst_2, i12, env, static) :|: 0 < i22 && 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_261(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_265(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_265(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_LE_269(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_276(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && i21 < i22 && iconst_2 = 2
main_LE_276(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_308(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && i21 < i22 && iconst_2 = 2
main_Load_308(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_319(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_319(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_336(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_IntArithmetic_336(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Store_342(a6, i25, i22, iconst_2, i12, env, static) :|: 1 <= i25 && 0 <= i21 && i22 + i21 = i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Store_342(a6, i25, i22, iconst_2, i12, env, static) -{1,1}> main_JMP_347(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_JMP_347(a6, i22, i25, iconst_2, i12, env, static) -{1,1}> main_Load_360(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_360(a6, i22, i25, iconst_2, i12, env, static) -{0,0}> main_Load_261(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 0 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2

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

obtained
main_Load_2(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_2(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_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(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_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(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_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(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_24(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_24(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_26(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_26(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_30(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_35(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_37(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_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{0,0}> main_Load_49(o1, env, static) :|: 0 < o1
main_Load_49(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{1,1}> main_FieldAccess_57(o1, env, static) :|: 0 < o1
main_FieldAccess_57(o1, env, static) -{0,0}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_60(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(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_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(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_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_112(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_116(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_137(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_213(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_165(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_165(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_176(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_176(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_182(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_182(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_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50
by chaining
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_229(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i21 <= o50
random_Return_229(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_239(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_239(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_Load_247(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_247(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> main_LE_251(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
main_LE_251(a6, i22, i21, 2, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22
by chaining
main_LE_251(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_257(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 <= i22 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_257(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, iconst_2, i12, env, static) :|: 0 < i22 && 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2

obtained
main_Load_261(a6, i22, i21, 2, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12
by chaining
main_Load_261(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_265(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_265(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_LE_269(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2

obtained
main_LE_269(a6, i22, i21, 2, i12, env, static) -{6,6}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21
by chaining
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_276(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && i21 < i22 && iconst_2 = 2
main_LE_276(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_308(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && i21 < i22 && iconst_2 = 2
main_Load_308(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Load_319(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_319(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_336(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_IntArithmetic_336(a6, i22, i21, iconst_2, i12, env, static) -{1,1}> main_Store_342(a6, i25, i22, iconst_2, i12, env, static) :|: 1 <= i25 && 0 <= i21 && i22 + i21 = i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Store_342(a6, i25, i22, iconst_2, i12, env, static) -{1,1}> main_JMP_347(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_JMP_347(a6, i22, i25, iconst_2, i12, env, static) -{1,1}> main_Load_360(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_Load_360(a6, i22, i25, iconst_2, i12, env, static) -{0,0}> main_Load_261(a6, i22, i25, iconst_2, i12, env, static) :|: 1 <= i25 && 0 <= i25 && 2 <= i12 && 0 < a6 && 1 <= i22 && iconst_2 = 2

(34) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_71(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_213(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_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50
main_LE_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_251(a6, i22, i21, 2, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22
main_Load_261(a6, i22, i21, 2, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_269(a6, i22, i21, 2, i12, env, static) -{6,6}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21

(35) 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_213(o50, a6, i8, 2, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2

main_Load_261(a6, i22, i21, 2, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12
was transformed to
main_Load_261(a6, i22, i21, x, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12 && x = 2

main_LE_269(a6, i22, i21, 2, i12, env, static) -{6,6}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21
was transformed to
main_LE_269(a6, i22, i21, x, i12, env, static) -{6,6}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21 && x = 2

main_LE_251(a6, i22, i21, 2, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22
was transformed to
main_LE_251(a6, i22, i21, x, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22 && x = 2

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_213(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, 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

(36) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_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_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_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
main_Load_261(a6, i22, i21, x, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12 && x = 2
main_LE_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_269(a6, i22, i21, x, i12, env, static) -{6,6}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21 && x = 2
main_LE_251(a6, i22, i21, x, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
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
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6

(37) 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_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(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_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(38) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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
main_LE_269(a6, i22, i21, x, i12, env, static) -{6,6}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21 && x = 2
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
main_LE_251(a6, i22, i21, x, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22 && x = 2
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
main_LE_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_Load_261(a6, i22, i21, x, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12 && x = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
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
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 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
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

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

Moved arithmethic from constraints to rhss.

main_LE_269(a6, i22, i21, x, i12, env, static) -{6,6}> main_Load_261(a6, i22, i25', 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21 && x = 2
was transformed to
main_LE_269(a6, i22, i21, x, i12, env, static) -{6,6}> main_Load_261(a6, i22, i22 + i21, 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21 && x = 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_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, iconst_0, i21, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
was transformed to
main_LE_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, 0, i21, 2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2

random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(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_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(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_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 2
was transformed to
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, 2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 2

(40) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(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
main_LE_269(a6, i22, i21, x, i12, env, static) -{6,6}> main_Load_261(a6, i22, i22 + i21, 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_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_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_251(a6, i22, i21, x, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22 && x = 2
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
main_LE_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, 0, i21, 2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_Load_261(a6, i22, i21, x, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12 && x = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 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_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
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_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, 2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 2

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

Simplified expressions.

main_Load_2(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_2(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_251(a6, i22, i21, x, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i22 && 2 <= i12 && 0 <= i21 && 0 < i22 && x = 2
was transformed to
main_LE_251(a6, i22, i21, x, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 2 <= i12 && 0 <= i21 && 0 < i22 && x = 2

random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 0 <= o50 && x = 2
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && 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

(42) Obligation:

IntTrs with 14 rules
Start term: main_Load_2(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_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_223(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_251(a6, iconst_0, i21, iconst_2, i12, env, static) -{0,0}> main_LE_256(a6, 0, i21, 2, i12, env, static) :|: 0 <= iconst_0 && 0 <= i21 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_Load_2(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_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{4,4}> main_LE_251(a6, i8, i21', 2, i12, env, static) :|: 2 <= i12 && 0 <= i21' && 0 <= i8 && 0 < o50 && 0 < a6 && i21' <= o50 && x = 2
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
main_Load_261(a6, i22, i21, x, i12, env, static) -{2,2}> main_LE_269(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 0 <= i21 && 2 <= i12 && x = 2
main_LE_251(a6, i22, i21, x, i12, env, static) -{1,1}> main_Load_261(a6, i22, i21, 2, i12, env, static) :|: 1 <= i22 && 0 < a6 && 2 <= i12 && 0 <= i21 && 0 < i22 && x = 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
main_LE_269(a6, i22, i21, iconst_2, i12, env, static) -{0,0}> main_LE_275(a6, i22, i21, 2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && i22 <= i21 && 0 < a6 && 1 <= i22 && iconst_2 = 2
main_LE_269(a6, i22, i21, x, i12, env, static) -{6,6}> main_Load_261(a6, i22, i22 + i21, 2, i12, env, static) :|: i22 + i21 = i25' && 1 <= i25' && 1 <= i22 && i21 < i22 && 0 < a6 && 2 <= i12 && 0 <= i25' && 0 <= i21 && x = 2