The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 145 + 30 * |args|).

(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 PastaB14 {
    public static void main(String[] args) {
        Random.args = args;
        int x = Random.random();
        int y = Random.random();

        while (x == y && x > 0) {
            while (y > 0) {
                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:
PastaB14.main([Ljava/lang/String;)V: Graph of 182 nodes with 1 SCC.

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

Extracted set of 82 edges for the analysis of TIME complexity. Dropped leaves.

(4) Obligation:

Set of 82 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 82 jbc graph edges to a weighted ITS with 82 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 82 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_23(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_23(o1, env, static) -{0,0}> langle_clinit_rangle_New_28(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_28(o1, env, static) -{0,0}> langle_clinit_rangle_New_29(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_29(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_32(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_32(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_36(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_36(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_39(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_39(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_41(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_43(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_43(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_46(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_46(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_48(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_48(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_51(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_51(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_53(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_53(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(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_68(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_68(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_72(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_72(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_84(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_84(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_135(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_135(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_162(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_162(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_177(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_177(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_189(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_189(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_219(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_219(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_229(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_233(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_Load_457(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_457(a131, i61, i62, iconst_2, i12, env, static) -{1,1}> main_Load_465(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_Load_465(a131, i61, i62, iconst_2, i12, env, static) -{1,1}> main_NE_467(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_474(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && i61 = i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_NE_474(a131, i62, iconst_2, i12, env, static) -{1,1}> main_Load_479(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 = i62 && iconst_2 = 2 && 0 < a131
main_Load_479(a131, i62, iconst_2, i12, env, static) -{1,1}> main_LE_482(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_LE_482(a131, i70, iconst_2, i12, env, static) -{0,0}> main_LE_487(a131, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && iconst_2 = 2 && 1 <= i70 && 0 < a131
main_LE_487(a131, i70, iconst_2, i12, env, static) -{1,1}> main_Load_496(a131, i70, iconst_2, i12, env, static) :|: 0 < i70 && 2 <= i12 && 1 <= i70 && iconst_2 = 2 && 0 < a131
main_Load_496(a131, i70, iconst_2, i12, env, static) -{0,0}> main_Load_511(a131, i70, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 1 <= i70 && iconst_2 = 2 && 0 < a131
main_Load_511(a143, i76, i77, iconst_2, i12, env, static) -{0,0}> main_Load_542(a143, i76, i77, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i76 && 0 <= i77 && 0 < a143 && -1 <= i76 && iconst_2 = 2
main_Load_542(a153, i89, i90, iconst_2, i12, env, static) -{0,0}> main_Load_571(a153, i89, i90, iconst_2, i12, env, static) :|: 0 <= i90 && 2 <= i12 && -1 <= i89 && 0 < a153 && iconst_2 = 2
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
main_LE_575(a163, iconst_0, i102, iconst_2, i12, env, static) -{0,0}> main_LE_577(a163, iconst_0, i102, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2
main_LE_575(a163, i109, i102, iconst_2, i12, env, static) -{0,0}> main_LE_578(a163, i109, i102, iconst_2, i12, env, static) :|: 0 < a163 && 0 <= i109 && 2 <= i12 && 1 <= i109 && iconst_2 = 2
main_LE_577(a163, iconst_0, i102, iconst_2, i12, env, static) -{1,1}> main_Load_581(a163, i102, iconst_0, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2
main_LE_578(a163, i109, i102, iconst_2, i12, env, static) -{1,1}> main_Inc_583(a163, i102, i109, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 1 <= i109 && iconst_2 = 2 && 0 < i109
main_Load_581(a163, i102, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_457(a163, i102, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2
main_Inc_583(a163, i102, i109, iconst_2, i12, env, static) -{1,1}> main_Inc_584(a163, i113, i109, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && i102 + -1 = i113 && 1 <= i109 && iconst_2 = 2
main_Inc_584(a163, i113, i109, iconst_2, i12, env, static) -{1,1}> main_JMP_585(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i114 && i109 + -1 = i114 && iconst_2 = 2
main_JMP_585(a163, i113, i114, iconst_2, i12, env, static) -{1,1}> main_Load_587(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i114 && iconst_2 = 2
main_Load_587(a163, i113, i114, iconst_2, i12, env, static) -{0,0}> main_Load_571(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i114 && iconst_2 = 2

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

obtained
main_Load_1(o1, env, static) -{46,46}> main_Load_457(o1, i8', i20', 2, i4', env, static'5) :|: static'5 <= static'4 + 2 && 1 <= i4' && 0 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 0 <= i20' && 2 <= i4' && 0 <= o25' && 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' && static'4 <= static'3 + 1 && i20' <= o25' && 0 <= 1 && 0 < 1
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_23(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_23(o1, env, static) -{0,0}> langle_clinit_rangle_New_28(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_28(o1, env, static) -{0,0}> langle_clinit_rangle_New_29(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_29(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_32(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_32(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_36(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_36(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_39(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_39(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_41(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_43(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_43(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_46(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_46(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_48(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_48(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_51(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_51(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_53(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_53(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(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_68(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_68(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_72(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_72(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_84(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_84(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_135(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_135(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_162(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_162(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_177(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_177(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_189(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_189(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_219(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_219(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_229(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_233(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_Load_457(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
main_Load_457(a131, i61, i61, 2, i12, env, static) -{5,5}> main_Load_571(a131, i61, i61, 2, i12, env, static) :|: 0 < i61 && 0 < a131 && 0 <= i61 && -1 <= i61 && 2 <= i12 && 1 <= i61
by chaining
main_Load_457(a131, i61, i62, iconst_2, i12, env, static) -{1,1}> main_Load_465(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_Load_465(a131, i61, i62, iconst_2, i12, env, static) -{1,1}> main_NE_467(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_474(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && i61 = i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_NE_474(a131, i62, iconst_2, i12, env, static) -{1,1}> main_Load_479(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 = i62 && iconst_2 = 2 && 0 < a131
main_Load_479(a131, i62, iconst_2, i12, env, static) -{1,1}> main_LE_482(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_LE_482(a131, i70, iconst_2, i12, env, static) -{0,0}> main_LE_487(a131, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && iconst_2 = 2 && 1 <= i70 && 0 < a131
main_LE_487(a131, i70, iconst_2, i12, env, static) -{1,1}> main_Load_496(a131, i70, iconst_2, i12, env, static) :|: 0 < i70 && 2 <= i12 && 1 <= i70 && iconst_2 = 2 && 0 < a131
main_Load_496(a131, i70, iconst_2, i12, env, static) -{0,0}> main_Load_511(a131, i70, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 1 <= i70 && iconst_2 = 2 && 0 < a131
main_Load_511(a143, i76, i77, iconst_2, i12, env, static) -{0,0}> main_Load_542(a143, i76, i77, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i76 && 0 <= i77 && 0 < a143 && -1 <= i76 && iconst_2 = 2
main_Load_542(a153, i89, i90, iconst_2, i12, env, static) -{0,0}> main_Load_571(a153, i89, i90, iconst_2, i12, env, static) :|: 0 <= i90 && 2 <= i12 && -1 <= i89 && 0 < a153 && iconst_2 = 2

obtained
main_LE_575(a163, i109, i102, 2, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109
by chaining
main_LE_575(a163, i109, i102, iconst_2, i12, env, static) -{0,0}> main_LE_578(a163, i109, i102, iconst_2, i12, env, static) :|: 0 < a163 && 0 <= i109 && 2 <= i12 && 1 <= i109 && iconst_2 = 2
main_LE_578(a163, i109, i102, iconst_2, i12, env, static) -{1,1}> main_Inc_583(a163, i102, i109, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 1 <= i109 && iconst_2 = 2 && 0 < i109
main_Inc_583(a163, i102, i109, iconst_2, i12, env, static) -{1,1}> main_Inc_584(a163, i113, i109, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && i102 + -1 = i113 && 1 <= i109 && iconst_2 = 2
main_Inc_584(a163, i113, i109, iconst_2, i12, env, static) -{1,1}> main_JMP_585(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i114 && i109 + -1 = i114 && iconst_2 = 2
main_JMP_585(a163, i113, i114, iconst_2, i12, env, static) -{1,1}> main_Load_587(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i114 && iconst_2 = 2
main_Load_587(a163, i113, i114, iconst_2, i12, env, static) -{0,0}> main_Load_571(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i114 && iconst_2 = 2

obtained
main_LE_575(a163, 0, i102, 2, i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12
by chaining
main_LE_575(a163, iconst_0, i102, iconst_2, i12, env, static) -{0,0}> main_LE_577(a163, iconst_0, i102, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2
main_LE_577(a163, iconst_0, i102, iconst_2, i12, env, static) -{1,1}> main_Load_581(a163, i102, iconst_0, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2
main_Load_581(a163, i102, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_457(a163, i102, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2

(8) Obligation:

IntTrs with 5 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, env, static) -{46,46}> main_Load_457(o1, i8', i20', 2, i4', env, static'5) :|: static'5 <= static'4 + 2 && 1 <= i4' && 0 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 0 <= i20' && 2 <= i4' && 0 <= o25' && 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' && static'4 <= static'3 + 1 && i20' <= o25' && 0 <= 1 && 0 < 1
main_Load_457(a131, i61, i61, 2, i12, env, static) -{5,5}> main_Load_571(a131, i61, i61, 2, i12, env, static) :|: 0 < i61 && 0 < a131 && 0 <= i61 && -1 <= i61 && 2 <= i12 && 1 <= i61
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
main_LE_575(a163, i109, i102, 2, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109
main_LE_575(a163, 0, i102, 2, i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12

(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_1(x1, x2, x3) → main_Load_1(x1, x3)
main_Load_457(x1, x2, x3, x4, x5, x6, x7) → main_Load_457(x1, x2, x3, x5)
main_Load_571(x1, x2, x3, x4, x5, x6, x7) → main_Load_571(x1, x2, x3, x4, x5)
main_LE_575(x1, x2, x3, x4, x5, x6, x7) → main_LE_575(x1, x2, x3, x4, x5)

(10) Obligation:

IntTrs with 5 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, static) -{46,46}> main_Load_457(o1, i8', i20', i4') :|: static'5 <= static'4 + 2 && 1 <= i4' && 0 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 0 <= i20' && 2 <= i4' && 0 <= o25' && 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' && static'4 <= static'3 + 1 && i20' <= o25' && 0 <= 1 && 0 < 1
main_Load_457(a131, i61, i61, i12) -{5,5}> main_Load_571(a131, i61, i61, 2, i12) :|: 0 < i61 && 0 < a131 && 0 <= i61 && -1 <= i61 && 2 <= i12 && 1 <= i61
main_Load_571(a163, i102, i103, iconst_2, i12) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
main_LE_575(a163, i109, i102, 2, i12) -{4,4}> main_Load_571(a163, i113', i114', 2, i12) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109
main_LE_575(a163, 0, i102, 2, i12) -{1,1}> main_Load_457(a163, i102, 0, i12) :|: 0 <= 0 && 0 < a163 && 2 <= i12

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

Moved arithmethic from lhss to constraints.

main_LE_575(a163, i109, i102, 2, i12) -{4,4}> main_Load_571(a163, i113', i114', 2, i12) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109
was transformed to
main_LE_575(a163, i109, i102, x, i12) -{4,4}> main_Load_571(a163, i113', i114', 2, i12) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2

main_LE_575(a163, 0, i102, 2, i12) -{1,1}> main_Load_457(a163, i102, 0, i12) :|: 0 <= 0 && 0 < a163 && 2 <= i12
was transformed to
main_LE_575(a163, x, i102, x', i12) -{1,1}> main_Load_457(a163, i102, 0, i12) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && x' = 2

(12) Obligation:

IntTrs with 5 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_LE_575(a163, i109, i102, x, i12) -{4,4}> main_Load_571(a163, i113', i114', 2, i12) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2
main_LE_575(a163, x, i102, x', i12) -{1,1}> main_Load_457(a163, i102, 0, i12) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && x' = 2
main_Load_457(a131, i61, i61, i12) -{5,5}> main_Load_571(a131, i61, i61, 2, i12) :|: 0 < i61 && 0 < a131 && 0 <= i61 && -1 <= i61 && 2 <= i12 && 1 <= i61
main_Load_571(a163, i102, i103, iconst_2, i12) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
main_Load_1(o1, static) -{46,46}> main_Load_457(o1, i8', i20', i4') :|: static'5 <= static'4 + 2 && 1 <= i4' && 0 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 0 <= i20' && 2 <= i4' && 0 <= o25' && 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' && static'4 <= static'3 + 1 && i20' <= o25' && 0 <= 1 && 0 < 1

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

Linearized lhss.

main_Load_457(a131, i61, i61, i12) -{5,5}> main_Load_571(a131, i61, i61, 2, i12) :|: 0 < i61 && 0 < a131 && 0 <= i61 && -1 <= i61 && 2 <= i12 && 1 <= i61
was transformed to
main_Load_457(a131, i61, x, i12) -{5,5}> main_Load_571(a131, i61, i61, 2, i12) :|: 0 < i61 && 0 < a131 && 0 <= i61 && -1 <= i61 && 2 <= i12 && 1 <= i61 && x = i61

(14) Obligation:

IntTrs with 5 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_457(a131, i61, x, i12) -{5,5}> main_Load_571(a131, i61, i61, 2, i12) :|: 0 < i61 && 0 < a131 && 0 <= i61 && -1 <= i61 && 2 <= i12 && 1 <= i61 && x = i61
main_Load_571(a163, i102, i103, iconst_2, i12) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
main_LE_575(a163, i109, i102, x, i12) -{4,4}> main_Load_571(a163, i113', i114', 2, i12) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2
main_LE_575(a163, x, i102, x', i12) -{1,1}> main_Load_457(a163, i102, 0, i12) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && x' = 2
main_Load_1(o1, static) -{46,46}> main_Load_457(o1, i8', i20', i4') :|: static'5 <= static'4 + 2 && 1 <= i4' && 0 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 0 <= i20' && 2 <= i4' && 0 <= o25' && 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' && static'4 <= static'3 + 1 && i20' <= o25' && 0 <= 1 && 0 < 1

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

Moved arithmethic from constraints to rhss.

main_LE_575(a163, i109, i102, x, i12) -{4,4}> main_Load_571(a163, i113', i114', 2, i12) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2
was transformed to
main_LE_575(a163, i109, i102, x, i12) -{4,4}> main_Load_571(a163, i102 + -1, i109 + -1, 2, i12) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2

main_Load_571(a163, i102, i103, iconst_2, i12) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
was transformed to
main_Load_571(a163, i102, i103, iconst_2, i12) -{1,1}> main_LE_575(a163, i103, i102, 2, i12) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2

(16) Obligation:

IntTrs with 5 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_457(a131, i61, x, i12) -{5,5}> main_Load_571(a131, i61, i61, 2, i12) :|: 0 < i61 && 0 < a131 && 0 <= i61 && -1 <= i61 && 2 <= i12 && 1 <= i61 && x = i61
main_LE_575(a163, i109, i102, x, i12) -{4,4}> main_Load_571(a163, i102 + -1, i109 + -1, 2, i12) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2
main_Load_571(a163, i102, i103, iconst_2, i12) -{1,1}> main_LE_575(a163, i103, i102, 2, i12) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
main_LE_575(a163, x, i102, x', i12) -{1,1}> main_Load_457(a163, i102, 0, i12) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && x' = 2
main_Load_1(o1, static) -{46,46}> main_Load_457(o1, i8', i20', i4') :|: static'5 <= static'4 + 2 && 1 <= i4' && 0 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 0 <= i20' && 2 <= i4' && 0 <= o25' && 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' && static'4 <= static'3 + 1 && i20' <= o25' && 0 <= 1 && 0 < 1

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

Simplified expressions.

main_Load_457(a131, i61, x, i12) -{5,5}> main_Load_571(a131, i61, i61, 2, i12) :|: 0 < i61 && 0 < a131 && 0 <= i61 && -1 <= i61 && 2 <= i12 && 1 <= i61 && x = i61
was transformed to
main_Load_457(a131, i61, x, i12) -{5,5}> main_Load_571(a131, i61, i61, 2, i12) :|: 0 < i61 && 0 < a131 && -1 <= i61 && 2 <= i12 && 1 <= i61 && x = i61

main_LE_575(a163, i109, i102, x, i12) -{4,4}> main_Load_571(a163, i102 + -1, i109 + -1, 2, i12) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2
was transformed to
main_LE_575(a163, i109, i102, x, i12) -{4,4}> main_Load_571(a163, i102 - 1, i109 - 1, 2, i12) :|: i102 - 1 = i113' && 0 < i109 && 0 <= i114' && i109 - 1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && x = 2

main_LE_575(a163, x, i102, x', i12) -{1,1}> main_Load_457(a163, i102, 0, i12) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && x' = 2
was transformed to
main_LE_575(a163, x, i102, x', i12) -{1,1}> main_Load_457(a163, i102, 0, i12) :|: 0 < a163 && 2 <= i12 && x = 0 && x' = 2

main_Load_1(o1, static) -{46,46}> main_Load_457(o1, i8', i20', i4') :|: static'5 <= static'4 + 2 && 1 <= i4' && 0 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 0 <= i20' && 2 <= i4' && 0 <= o25' && 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' && static'4 <= static'3 + 1 && i20' <= o25' && 0 <= 1 && 0 < 1
was transformed to
main_Load_1(o1, static) -{46,46}> main_Load_457(o1, i8', i20', i4') :|: static'5 <= static'4 + 2 && 1 <= i4' && 0 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 0 <= i20' && 2 <= i4' && 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 && i20' <= o25'

(18) Obligation:

IntTrs with 5 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_571(a163, i102, i103, iconst_2, i12) -{1,1}> main_LE_575(a163, i103, i102, 2, i12) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
main_Load_457(a131, i61, x, i12) -{5,5}> main_Load_571(a131, i61, i61, 2, i12) :|: 0 < i61 && 0 < a131 && -1 <= i61 && 2 <= i12 && 1 <= i61 && x = i61
main_LE_575(a163, i109, i102, x, i12) -{4,4}> main_Load_571(a163, i102 - 1, i109 - 1, 2, i12) :|: i102 - 1 = i113' && 0 < i109 && 0 <= i114' && i109 - 1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && x = 2
main_Load_1(o1, static) -{46,46}> main_Load_457(o1, i8', i20', i4') :|: static'5 <= static'4 + 2 && 1 <= i4' && 0 <= i8' && i4' < o1 && 0 < o1 && static'1 <= static''' + 1 && 0 <= i20' && 2 <= i4' && 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 && i20' <= o25'
main_LE_575(a163, x, i102, x', i12) -{1,1}> main_Load_457(a163, i102, 0, i12) :|: 0 < a163 && 2 <= i12 && x = 0 && x' = 2

(19) koat Proof (EQUIVALENT transformation)

YES(?, 30*ar_0 + 52)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 1) main_Load_571(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_LE_575(ar_0, ar_2, ar_1, 2, ar_4)) [ 0 < ar_0 /\ 2 <= ar_4 /\ 0 <= ar_2 /\ ar_3 = 2 ]
(Comp: ?, Cost: 5) main_Load_457(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_1, ar_1, 2, ar_3)) [ 0 < ar_1 /\ 0 < ar_0 /\ -1 <= ar_1 /\ 2 <= ar_3 /\ 1 <= ar_1 /\ ar_2 = ar_1 ]
(Comp: ?, Cost: 4) main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_2 - 1, ar_1 - 1, 2, ar_4)) [ ar_2 - 1 = i113' /\ 0 < ar_1 /\ 0 <= i114' /\ ar_1 - 1 = i114' /\ 0 < ar_0 /\ 2 <= ar_4 /\ 1 <= ar_1 /\ ar_3 = 2 ]
(Comp: ?, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, i8', i20', i4', arityPad)) [ static'5 <= static'4 + 2 /\ 1 <= i4' /\ 0 <= i8' /\ i4' < ar_0 /\ 0 < ar_0 /\ static'1 <= static''' + 1 /\ 0 <= i20' /\ 2 <= i4' /\ 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 /\ i20' <= o25' ]
(Comp: ?, Cost: 1) main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, ar_2, 0, ar_4, arityPad)) [ 0 < ar_0 /\ 2 <= ar_4 /\ ar_1 = 0 /\ ar_3 = 2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: ?, Cost: 1) main_Load_571(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_LE_575(ar_0, ar_2, ar_1, 2, ar_4)) [ 0 < ar_0 /\ 2 <= ar_4 /\ 0 <= ar_2 /\ ar_3 = 2 ]
(Comp: 1, Cost: 5) main_Load_457(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_1, ar_1, 2, ar_3)) [ 0 < ar_1 /\ 0 < ar_0 /\ -1 <= ar_1 /\ 2 <= ar_3 /\ 1 <= ar_1 /\ ar_2 = ar_1 ]
(Comp: ?, Cost: 4) main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_2 - 1, ar_1 - 1, 2, ar_4)) [ ar_2 - 1 = i113' /\ 0 < ar_1 /\ 0 <= i114' /\ ar_1 - 1 = i114' /\ 0 < ar_0 /\ 2 <= ar_4 /\ 1 <= ar_1 /\ ar_3 = 2 ]
(Comp: 1, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, i8', i20', i4', arityPad)) [ static'5 <= static'4 + 2 /\ 1 <= i4' /\ 0 <= i8' /\ i4' < ar_0 /\ 0 < ar_0 /\ static'1 <= static''' + 1 /\ 0 <= i20' /\ 2 <= i4' /\ 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 /\ i20' <= o25' ]
(Comp: ?, Cost: 1) main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, ar_2, 0, ar_4, arityPad)) [ 0 < ar_0 /\ 2 <= ar_4 /\ ar_1 = 0 /\ ar_3 = 2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_Load_571) = 1
Pol(main_LE_575) = 1
Pol(main_Load_457) = 0
and size complexities
S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-0) = ar_0
S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-1) = ar_1
S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-2) = ar_2
S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-3) = ar_3
S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4
S("main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, ar_2, 0, ar_4, arityPad)) [ 0 < ar_0 /\\ 2 <= ar_4 /\\ ar_1 = 0 /\\ ar_3 = 2 ]", 0-0) = ar_0
S("main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, ar_2, 0, ar_4, arityPad)) [ 0 < ar_0 /\\ 2 <= ar_4 /\\ ar_1 = 0 /\\ ar_3 = 2 ]", 0-1) = ?
S("main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, ar_2, 0, ar_4, arityPad)) [ 0 < ar_0 /\\ 2 <= ar_4 /\\ ar_1 = 0 /\\ ar_3 = 2 ]", 0-2) = 0
S("main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, ar_2, 0, ar_4, arityPad)) [ 0 < ar_0 /\\ 2 <= ar_4 /\\ ar_1 = 0 /\\ ar_3 = 2 ]", 0-3) = ar_0
S("main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, ar_2, 0, ar_4, arityPad)) [ 0 < ar_0 /\\ 2 <= ar_4 /\\ ar_1 = 0 /\\ ar_3 = 2 ]", 0-4) = ?
S("main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, i8', i20', i4', arityPad)) [ static'5 <= static'4 + 2 /\\ 1 <= i4' /\\ 0 <= i8' /\\ i4' < ar_0 /\\ 0 < ar_0 /\\ static'1 <= static''' + 1 /\\ 0 <= i20' /\\ 2 <= i4' /\\ 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 /\\ i20' <= o25' ]", 0-0) = ar_0
S("main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, i8', i20', i4', arityPad)) [ static'5 <= static'4 + 2 /\\ 1 <= i4' /\\ 0 <= i8' /\\ i4' < ar_0 /\\ 0 < ar_0 /\\ static'1 <= static''' + 1 /\\ 0 <= i20' /\\ 2 <= i4' /\\ 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 /\\ i20' <= o25' ]", 0-1) = ar_0
S("main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, i8', i20', i4', arityPad)) [ static'5 <= static'4 + 2 /\\ 1 <= i4' /\\ 0 <= i8' /\\ i4' < ar_0 /\\ 0 < ar_0 /\\ static'1 <= static''' + 1 /\\ 0 <= i20' /\\ 2 <= i4' /\\ 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 /\\ i20' <= o25' ]", 0-2) = ar_0
S("main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, i8', i20', i4', arityPad)) [ static'5 <= static'4 + 2 /\\ 1 <= i4' /\\ 0 <= i8' /\\ i4' < ar_0 /\\ 0 < ar_0 /\\ static'1 <= static''' + 1 /\\ 0 <= i20' /\\ 2 <= i4' /\\ 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 /\\ i20' <= o25' ]", 0-3) = ar_0
S("main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, i8', i20', i4', arityPad)) [ static'5 <= static'4 + 2 /\\ 1 <= i4' /\\ 0 <= i8' /\\ i4' < ar_0 /\\ 0 < ar_0 /\\ static'1 <= static''' + 1 /\\ 0 <= i20' /\\ 2 <= i4' /\\ 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 /\\ i20' <= o25' ]", 0-4) = ?
S("main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_2 - 1, ar_1 - 1, 2, ar_4)) [ ar_2 - 1 = i113' /\\ 0 < ar_1 /\\ 0 <= i114' /\\ ar_1 - 1 = i114' /\\ 0 < ar_0 /\\ 2 <= ar_4 /\\ 1 <= ar_1 /\\ ar_3 = 2 ]", 0-0) = ar_0
S("main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_2 - 1, ar_1 - 1, 2, ar_4)) [ ar_2 - 1 = i113' /\\ 0 < ar_1 /\\ 0 <= i114' /\\ ar_1 - 1 = i114' /\\ 0 < ar_0 /\\ 2 <= ar_4 /\\ 1 <= ar_1 /\\ ar_3 = 2 ]", 0-1) = ?
S("main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_2 - 1, ar_1 - 1, 2, ar_4)) [ ar_2 - 1 = i113' /\\ 0 < ar_1 /\\ 0 <= i114' /\\ ar_1 - 1 = i114' /\\ 0 < ar_0 /\\ 2 <= ar_4 /\\ 1 <= ar_1 /\\ ar_3 = 2 ]", 0-2) = ar_0
S("main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_2 - 1, ar_1 - 1, 2, ar_4)) [ ar_2 - 1 = i113' /\\ 0 < ar_1 /\\ 0 <= i114' /\\ ar_1 - 1 = i114' /\\ 0 < ar_0 /\\ 2 <= ar_4 /\\ 1 <= ar_1 /\\ ar_3 = 2 ]", 0-3) = 2
S("main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_2 - 1, ar_1 - 1, 2, ar_4)) [ ar_2 - 1 = i113' /\\ 0 < ar_1 /\\ 0 <= i114' /\\ ar_1 - 1 = i114' /\\ 0 < ar_0 /\\ 2 <= ar_4 /\\ 1 <= ar_1 /\\ ar_3 = 2 ]", 0-4) = ar_0
S("main_Load_457(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_1, ar_1, 2, ar_3)) [ 0 < ar_1 /\\ 0 < ar_0 /\\ -1 <= ar_1 /\\ 2 <= ar_3 /\\ 1 <= ar_1 /\\ ar_2 = ar_1 ]", 0-0) = ar_0
S("main_Load_457(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_1, ar_1, 2, ar_3)) [ 0 < ar_1 /\\ 0 < ar_0 /\\ -1 <= ar_1 /\\ 2 <= ar_3 /\\ 1 <= ar_1 /\\ ar_2 = ar_1 ]", 0-1) = ar_0
S("main_Load_457(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_1, ar_1, 2, ar_3)) [ 0 < ar_1 /\\ 0 < ar_0 /\\ -1 <= ar_1 /\\ 2 <= ar_3 /\\ 1 <= ar_1 /\\ ar_2 = ar_1 ]", 0-2) = ar_0
S("main_Load_457(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_1, ar_1, 2, ar_3)) [ 0 < ar_1 /\\ 0 < ar_0 /\\ -1 <= ar_1 /\\ 2 <= ar_3 /\\ 1 <= ar_1 /\\ ar_2 = ar_1 ]", 0-3) = 2
S("main_Load_457(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_1, ar_1, 2, ar_3)) [ 0 < ar_1 /\\ 0 < ar_0 /\\ -1 <= ar_1 /\\ 2 <= ar_3 /\\ 1 <= ar_1 /\\ ar_2 = ar_1 ]", 0-4) = ar_0
S("main_Load_571(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_LE_575(ar_0, ar_2, ar_1, 2, ar_4)) [ 0 < ar_0 /\\ 2 <= ar_4 /\\ 0 <= ar_2 /\\ ar_3 = 2 ]", 0-0) = ar_0
S("main_Load_571(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_LE_575(ar_0, ar_2, ar_1, 2, ar_4)) [ 0 < ar_0 /\\ 2 <= ar_4 /\\ 0 <= ar_2 /\\ ar_3 = 2 ]", 0-1) = ar_0
S("main_Load_571(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_LE_575(ar_0, ar_2, ar_1, 2, ar_4)) [ 0 < ar_0 /\\ 2 <= ar_4 /\\ 0 <= ar_2 /\\ ar_3 = 2 ]", 0-2) = ?
S("main_Load_571(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_LE_575(ar_0, ar_2, ar_1, 2, ar_4)) [ 0 < ar_0 /\\ 2 <= ar_4 /\\ 0 <= ar_2 /\\ ar_3 = 2 ]", 0-3) = 2
S("main_Load_571(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_LE_575(ar_0, ar_2, ar_1, 2, ar_4)) [ 0 < ar_0 /\\ 2 <= ar_4 /\\ 0 <= ar_2 /\\ ar_3 = 2 ]", 0-4) = ar_0
orients the transitions
main_Load_571(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_LE_575(ar_0, ar_2, ar_1, 2, ar_4)) [ 0 < ar_0 /\ 2 <= ar_4 /\ 0 <= ar_2 /\ ar_3 = 2 ]
main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_2 - 1, ar_1 - 1, 2, ar_4)) [ ar_2 - 1 = i113' /\ 0 < ar_1 /\ 0 <= i114' /\ ar_1 - 1 = i114' /\ 0 < ar_0 /\ 2 <= ar_4 /\ 1 <= ar_1 /\ ar_3 = 2 ]
main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, ar_2, 0, ar_4, arityPad)) [ 0 < ar_0 /\ 2 <= ar_4 /\ ar_1 = 0 /\ ar_3 = 2 ]
weakly and the transition
main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, ar_2, 0, ar_4, arityPad)) [ 0 < ar_0 /\ 2 <= ar_4 /\ ar_1 = 0 /\ ar_3 = 2 ]
strictly and produces the following problem:
3: T:
(Comp: ?, Cost: 1) main_Load_571(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_LE_575(ar_0, ar_2, ar_1, 2, ar_4)) [ 0 < ar_0 /\ 2 <= ar_4 /\ 0 <= ar_2 /\ ar_3 = 2 ]
(Comp: 1, Cost: 5) main_Load_457(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_1, ar_1, 2, ar_3)) [ 0 < ar_1 /\ 0 < ar_0 /\ -1 <= ar_1 /\ 2 <= ar_3 /\ 1 <= ar_1 /\ ar_2 = ar_1 ]
(Comp: ?, Cost: 4) main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_2 - 1, ar_1 - 1, 2, ar_4)) [ ar_2 - 1 = i113' /\ 0 < ar_1 /\ 0 <= i114' /\ ar_1 - 1 = i114' /\ 0 < ar_0 /\ 2 <= ar_4 /\ 1 <= ar_1 /\ ar_3 = 2 ]
(Comp: 1, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, i8', i20', i4', arityPad)) [ static'5 <= static'4 + 2 /\ 1 <= i4' /\ 0 <= i8' /\ i4' < ar_0 /\ 0 < ar_0 /\ static'1 <= static''' + 1 /\ 0 <= i20' /\ 2 <= i4' /\ 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 /\ i20' <= o25' ]
(Comp: 1, Cost: 1) main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, ar_2, 0, ar_4, arityPad)) [ 0 < ar_0 /\ 2 <= ar_4 /\ ar_1 = 0 /\ ar_3 = 2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_Load_571) = 3*V_3 + V_5
Pol(main_LE_575) = 3*V_2 - V_4 + V_5
Pol(main_Load_457) = 5*V_3 + V_4 - 2
Pol(main_Load_1) = 6*V_1
Pol(koat_start) = 6*V_1
orients all transitions weakly and the transitions
main_Load_571(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_LE_575(ar_0, ar_2, ar_1, 2, ar_4)) [ 0 < ar_0 /\ 2 <= ar_4 /\ 0 <= ar_2 /\ ar_3 = 2 ]
main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_2 - 1, ar_1 - 1, 2, ar_4)) [ ar_2 - 1 = i113' /\ 0 < ar_1 /\ 0 <= i114' /\ ar_1 - 1 = i114' /\ 0 < ar_0 /\ 2 <= ar_4 /\ 1 <= ar_1 /\ ar_3 = 2 ]
strictly and produces the following problem:
4: T:
(Comp: 6*ar_0, Cost: 1) main_Load_571(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_LE_575(ar_0, ar_2, ar_1, 2, ar_4)) [ 0 < ar_0 /\ 2 <= ar_4 /\ 0 <= ar_2 /\ ar_3 = 2 ]
(Comp: 1, Cost: 5) main_Load_457(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_1, ar_1, 2, ar_3)) [ 0 < ar_1 /\ 0 < ar_0 /\ -1 <= ar_1 /\ 2 <= ar_3 /\ 1 <= ar_1 /\ ar_2 = ar_1 ]
(Comp: 6*ar_0, Cost: 4) main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_571(ar_0, ar_2 - 1, ar_1 - 1, 2, ar_4)) [ ar_2 - 1 = i113' /\ 0 < ar_1 /\ 0 <= i114' /\ ar_1 - 1 = i114' /\ 0 < ar_0 /\ 2 <= ar_4 /\ 1 <= ar_1 /\ ar_3 = 2 ]
(Comp: 1, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, i8', i20', i4', arityPad)) [ static'5 <= static'4 + 2 /\ 1 <= i4' /\ 0 <= i8' /\ i4' < ar_0 /\ 0 < ar_0 /\ static'1 <= static''' + 1 /\ 0 <= i20' /\ 2 <= i4' /\ 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 /\ i20' <= o25' ]
(Comp: 1, Cost: 1) main_LE_575(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_457(ar_0, ar_2, 0, ar_4, arityPad)) [ 0 < ar_0 /\ 2 <= ar_4 /\ ar_1 = 0 /\ ar_3 = 2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 30*ar_0 + 52

Time: 0.230 sec (SMT: 0.197 sec)

(20) BOUNDS(CONSTANT, 52 + 30 * |args|)

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

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

(22) Obligation:

Set of 88 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

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

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

(24) Obligation:

IntTrs with 88 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_23(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_23(o1, env, static) -{0,0}> langle_clinit_rangle_New_28(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_28(o1, env, static) -{0,0}> langle_clinit_rangle_New_29(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_29(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_32(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_32(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_36(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_36(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_39(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_39(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_41(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_43(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_43(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_46(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_46(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_48(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_48(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_51(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_51(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_53(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_53(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(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_68(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_68(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_72(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_72(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_84(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_84(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_135(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_135(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_162(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_162(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_177(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_177(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_189(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_189(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_219(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_220(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_219(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_229(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_233(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_Load_457(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_457(a131, i61, i62, iconst_2, i12, env, static) -{1,1}> main_Load_465(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_Load_465(a131, i61, i62, iconst_2, i12, env, static) -{1,1}> main_NE_467(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && !(i61 = i62) && iconst_2 = 2 && 0 < a131
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_474(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && i61 = i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_NE_474(a131, i62, iconst_2, i12, env, static) -{1,1}> main_Load_479(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 = i62 && iconst_2 = 2 && 0 < a131
main_Load_479(a131, i62, iconst_2, i12, env, static) -{1,1}> main_LE_482(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_LE_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
main_LE_482(a131, i70, iconst_2, i12, env, static) -{0,0}> main_LE_487(a131, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && iconst_2 = 2 && 1 <= i70 && 0 < a131
main_LE_487(a131, i70, iconst_2, i12, env, static) -{1,1}> main_Load_496(a131, i70, iconst_2, i12, env, static) :|: 0 < i70 && 2 <= i12 && 1 <= i70 && iconst_2 = 2 && 0 < a131
main_Load_496(a131, i70, iconst_2, i12, env, static) -{0,0}> main_Load_511(a131, i70, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 1 <= i70 && iconst_2 = 2 && 0 < a131
main_Load_511(a143, i76, i77, iconst_2, i12, env, static) -{0,0}> main_Load_542(a143, i76, i77, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i76 && 0 <= i77 && 0 < a143 && -1 <= i76 && iconst_2 = 2
main_Load_542(a153, i89, i90, iconst_2, i12, env, static) -{0,0}> main_Load_571(a153, i89, i90, iconst_2, i12, env, static) :|: 0 <= i90 && 2 <= i12 && -1 <= i89 && 0 < a153 && iconst_2 = 2
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
main_LE_575(a163, iconst_0, i102, iconst_2, i12, env, static) -{0,0}> main_LE_577(a163, iconst_0, i102, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2
main_LE_575(a163, i109, i102, iconst_2, i12, env, static) -{0,0}> main_LE_578(a163, i109, i102, iconst_2, i12, env, static) :|: 0 < a163 && 0 <= i109 && 2 <= i12 && 1 <= i109 && iconst_2 = 2
main_LE_577(a163, iconst_0, i102, iconst_2, i12, env, static) -{1,1}> main_Load_581(a163, i102, iconst_0, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2
main_LE_578(a163, i109, i102, iconst_2, i12, env, static) -{1,1}> main_Inc_583(a163, i102, i109, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 1 <= i109 && iconst_2 = 2 && 0 < i109
main_Load_581(a163, i102, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_457(a163, i102, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2
main_Inc_583(a163, i102, i109, iconst_2, i12, env, static) -{1,1}> main_Inc_584(a163, i113, i109, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && i102 + -1 = i113 && 1 <= i109 && iconst_2 = 2
main_Inc_584(a163, i113, i109, iconst_2, i12, env, static) -{1,1}> main_JMP_585(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i114 && i109 + -1 = i114 && iconst_2 = 2
main_JMP_585(a163, i113, i114, iconst_2, i12, env, static) -{1,1}> main_Load_587(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i114 && iconst_2 = 2
main_Load_587(a163, i113, i114, iconst_2, i12, env, static) -{0,0}> main_Load_571(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i114 && iconst_2 = 2

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

obtained
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_23(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_23(o1, env, static) -{0,0}> langle_clinit_rangle_New_28(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_28(o1, env, static) -{0,0}> langle_clinit_rangle_New_29(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_29(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_32(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_32(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_36(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_36(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_39(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_39(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_41(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_43(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_43(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_46(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_46(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_48(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_48(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_51(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_51(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_53(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_53(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(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_68(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_68(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_72(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_72(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_84(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_84(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_135(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_135(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_162(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_162(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_177(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_177(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_189(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_189(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) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50
by chaining
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_219(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_219(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_229(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_233(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_Load_457(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
main_Load_457(a131, i61, i62, 2, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12
by chaining
main_Load_457(a131, i61, i62, iconst_2, i12, env, static) -{1,1}> main_Load_465(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_Load_465(a131, i61, i62, iconst_2, i12, env, static) -{1,1}> main_NE_467(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131

obtained
main_NE_467(a131, i61, i61, 2, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12
by chaining
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_474(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && i61 = i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_NE_474(a131, i62, iconst_2, i12, env, static) -{1,1}> main_Load_479(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 = i62 && iconst_2 = 2 && 0 < a131
main_Load_479(a131, i62, iconst_2, i12, env, static) -{1,1}> main_LE_482(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131

obtained
main_LE_482(a131, i70, 2, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70
by chaining
main_LE_482(a131, i70, iconst_2, i12, env, static) -{0,0}> main_LE_487(a131, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && iconst_2 = 2 && 1 <= i70 && 0 < a131
main_LE_487(a131, i70, iconst_2, i12, env, static) -{1,1}> main_Load_496(a131, i70, iconst_2, i12, env, static) :|: 0 < i70 && 2 <= i12 && 1 <= i70 && iconst_2 = 2 && 0 < a131
main_Load_496(a131, i70, iconst_2, i12, env, static) -{0,0}> main_Load_511(a131, i70, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 1 <= i70 && iconst_2 = 2 && 0 < a131
main_Load_511(a143, i76, i77, iconst_2, i12, env, static) -{0,0}> main_Load_542(a143, i76, i77, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i76 && 0 <= i77 && 0 < a143 && -1 <= i76 && iconst_2 = 2
main_Load_542(a153, i89, i90, iconst_2, i12, env, static) -{0,0}> main_Load_571(a153, i89, i90, iconst_2, i12, env, static) :|: 0 <= i90 && 2 <= i12 && -1 <= i89 && 0 < a153 && iconst_2 = 2

obtained
main_LE_575(a163, i109, i102, 2, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109
by chaining
main_LE_575(a163, i109, i102, iconst_2, i12, env, static) -{0,0}> main_LE_578(a163, i109, i102, iconst_2, i12, env, static) :|: 0 < a163 && 0 <= i109 && 2 <= i12 && 1 <= i109 && iconst_2 = 2
main_LE_578(a163, i109, i102, iconst_2, i12, env, static) -{1,1}> main_Inc_583(a163, i102, i109, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 1 <= i109 && iconst_2 = 2 && 0 < i109
main_Inc_583(a163, i102, i109, iconst_2, i12, env, static) -{1,1}> main_Inc_584(a163, i113, i109, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && i102 + -1 = i113 && 1 <= i109 && iconst_2 = 2
main_Inc_584(a163, i113, i109, iconst_2, i12, env, static) -{1,1}> main_JMP_585(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i114 && i109 + -1 = i114 && iconst_2 = 2
main_JMP_585(a163, i113, i114, iconst_2, i12, env, static) -{1,1}> main_Load_587(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i114 && iconst_2 = 2
main_Load_587(a163, i113, i114, iconst_2, i12, env, static) -{0,0}> main_Load_571(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i114 && iconst_2 = 2

obtained
main_LE_575(a163, 0, i102, 2, i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12
by chaining
main_LE_575(a163, iconst_0, i102, iconst_2, i12, env, static) -{0,0}> main_LE_577(a163, iconst_0, i102, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2
main_LE_577(a163, iconst_0, i102, iconst_2, i12, env, static) -{1,1}> main_Load_581(a163, i102, iconst_0, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2
main_Load_581(a163, i102, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_457(a163, i102, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2

(26) Obligation:

IntTrs with 17 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_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_220(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) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50
main_Load_457(a131, i61, i62, 2, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && !(i61 = i62) && iconst_2 = 2 && 0 < a131
main_NE_467(a131, i61, i61, 2, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12
main_LE_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
main_LE_482(a131, i70, 2, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
main_LE_575(a163, i109, i102, 2, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109
main_LE_575(a163, 0, i102, 2, i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12

(27) 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

main_LE_575(a163, 0, i102, 2, i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12
was transformed to
main_LE_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && x' = 2

random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50 && x = 2

main_NE_467(a131, i61, i61, 2, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12
was transformed to
main_NE_467(a131, i61, i61, x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2

main_Load_457(a131, i61, i62, 2, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12
was transformed to
main_Load_457(a131, i61, i62, x, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12 && x = 2

main_LE_575(a163, i109, i102, 2, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109
was transformed to
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2

main_LE_482(a131, i70, 2, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70
was transformed to
main_LE_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70 && 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

(28) Obligation:

IntTrs with 17 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && !(i61 = i62) && iconst_2 = 2 && 0 < a131
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
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_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && x' = 2
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50 && x = 2
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_NE_467(a131, i61, i61, x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2
main_Load_457(a131, i61, i62, x, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2
main_LE_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70 && 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_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
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

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

Linearized lhss.

main_NE_467(a131, i61, i61, x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2
was transformed to
main_NE_467(a131, i61, x', x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2 && x' = i61

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

(30) Obligation:

IntTrs with 17 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && !(i61 = i62) && iconst_2 = 2 && 0 < a131
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_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_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
main_LE_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70 && x = 2
main_NE_467(a131, i61, x', x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2 && x' = i61
main_LE_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && 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
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && 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
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_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, 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
main_Load_457(a131, i61, i62, x, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12 && x = 2

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

Removed div and mod.

main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && !(i61 = i62) && iconst_2 = 2 && 0 < a131
was transformed to
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 < i62 && iconst_2 = 2 && 0 < a131
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 > i62 && iconst_2 = 2 && 0 < a131

(32) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
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, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_LE_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && x' = 2
main_LE_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70 && x = 2
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && 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_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50 && x = 2
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 > i62 && iconst_2 = 2 && 0 < a131
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 < i62 && iconst_2 = 2 && 0 < a131
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, 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
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_NE_467(a131, i61, x', x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2 && x' = i61
main_Load_457(a131, i61, i62, x, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12 && x = 2

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

Moved arithmethic from constraints to rhss.

main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
was transformed to
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, 2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2

random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(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_220(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

main_LE_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
was transformed to
main_LE_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, 0, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131

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_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2
was transformed to
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i102 + -1, i109 + -1, 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2

main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 > i62 && iconst_2 = 2 && 0 < a131
was transformed to
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 > i62 && iconst_2 = 2 && 0 < a131

main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 < i62 && iconst_2 = 2 && 0 < a131
was transformed to
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 < i62 && iconst_2 = 2 && 0 < a131

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

(34) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, 2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_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_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, 0, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
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_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70 && x = 2
main_LE_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && 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
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i102 + -1, i109 + -1, 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50 && x = 2
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 > i62 && iconst_2 = 2 && 0 < a131
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 < i62 && iconst_2 = 2 && 0 < a131
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
main_NE_467(a131, i61, x', x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2 && x' = i61
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_Load_457(a131, i61, i62, x, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12 && x = 2

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

Simplified expressions.

main_LE_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && x' = 2
was transformed to
main_LE_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 < a163 && 2 <= i12 && x = 0 && x' = 2

main_LE_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70 && x = 2
was transformed to
main_LE_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && -1 <= i70 && 2 <= i12 && 1 <= i70 && x = 2

random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50 && x = 2
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && x = 2

main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 > i62 && iconst_2 = 2 && 0 < a131
was transformed to
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 < i61 && iconst_2 = 2 && 0 < a131

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

main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i102 + -1, i109 + -1, 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2
was transformed to
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i102 - 1, i109 - 1, 2, i12, env, static) :|: i102 - 1 = i113' && 0 < i109 && 0 <= i114' && i109 - 1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 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

(36) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
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_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 < i62 && iconst_2 = 2 && 0 < a131
main_LE_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, 0, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 < i61 && iconst_2 = 2 && 0 < a131
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 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
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, 2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i102 - 1, i109 - 1, 2, i12, env, static) :|: i102 - 1 = i113' && 0 < i109 && 0 <= i114' && i109 - 1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
main_LE_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 < a163 && 2 <= i12 && x = 0 && x' = 2
main_LE_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && -1 <= i70 && 2 <= i12 && 1 <= i70 && 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
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_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && x = 2
main_NE_467(a131, i61, x', x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2 && x' = i61
main_Load_457(a131, i61, i62, x, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12 && x = 2

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

Transformed 88 jbc graph edges to a weighted ITS with 88 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.

(38) Obligation:

IntTrs with 88 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_23(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_23(o1, env, static) -{0,0}> langle_clinit_rangle_New_28(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_28(o1, env, static) -{0,0}> langle_clinit_rangle_New_29(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_29(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_32(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_32(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_36(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_36(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_39(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_39(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_41(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_43(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_43(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_46(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_46(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_48(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_48(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_51(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_51(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_53(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_53(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(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_68(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_68(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_72(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_72(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_84(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_84(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_135(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_135(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_162(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_162(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_177(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_177(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_189(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_189(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_219(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_220(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_219(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_229(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_233(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_Load_457(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_457(a131, i61, i62, iconst_2, i12, env, static) -{1,1}> main_Load_465(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_Load_465(a131, i61, i62, iconst_2, i12, env, static) -{1,1}> main_NE_467(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && !(i61 = i62) && iconst_2 = 2 && 0 < a131
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_474(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && i61 = i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_NE_474(a131, i62, iconst_2, i12, env, static) -{1,1}> main_Load_479(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 = i62 && iconst_2 = 2 && 0 < a131
main_Load_479(a131, i62, iconst_2, i12, env, static) -{1,1}> main_LE_482(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_LE_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
main_LE_482(a131, i70, iconst_2, i12, env, static) -{0,0}> main_LE_487(a131, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && iconst_2 = 2 && 1 <= i70 && 0 < a131
main_LE_487(a131, i70, iconst_2, i12, env, static) -{1,1}> main_Load_496(a131, i70, iconst_2, i12, env, static) :|: 0 < i70 && 2 <= i12 && 1 <= i70 && iconst_2 = 2 && 0 < a131
main_Load_496(a131, i70, iconst_2, i12, env, static) -{0,0}> main_Load_511(a131, i70, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 1 <= i70 && iconst_2 = 2 && 0 < a131
main_Load_511(a143, i76, i77, iconst_2, i12, env, static) -{0,0}> main_Load_542(a143, i76, i77, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i76 && 0 <= i77 && 0 < a143 && -1 <= i76 && iconst_2 = 2
main_Load_542(a153, i89, i90, iconst_2, i12, env, static) -{0,0}> main_Load_571(a153, i89, i90, iconst_2, i12, env, static) :|: 0 <= i90 && 2 <= i12 && -1 <= i89 && 0 < a153 && iconst_2 = 2
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
main_LE_575(a163, iconst_0, i102, iconst_2, i12, env, static) -{0,0}> main_LE_577(a163, iconst_0, i102, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2
main_LE_575(a163, i109, i102, iconst_2, i12, env, static) -{0,0}> main_LE_578(a163, i109, i102, iconst_2, i12, env, static) :|: 0 < a163 && 0 <= i109 && 2 <= i12 && 1 <= i109 && iconst_2 = 2
main_LE_577(a163, iconst_0, i102, iconst_2, i12, env, static) -{1,1}> main_Load_581(a163, i102, iconst_0, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2
main_LE_578(a163, i109, i102, iconst_2, i12, env, static) -{1,1}> main_Inc_583(a163, i102, i109, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 1 <= i109 && iconst_2 = 2 && 0 < i109
main_Load_581(a163, i102, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_457(a163, i102, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2
main_Inc_583(a163, i102, i109, iconst_2, i12, env, static) -{1,1}> main_Inc_584(a163, i113, i109, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && i102 + -1 = i113 && 1 <= i109 && iconst_2 = 2
main_Inc_584(a163, i113, i109, iconst_2, i12, env, static) -{1,1}> main_JMP_585(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i114 && i109 + -1 = i114 && iconst_2 = 2
main_JMP_585(a163, i113, i114, iconst_2, i12, env, static) -{1,1}> main_Load_587(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i114 && iconst_2 = 2
main_Load_587(a163, i113, i114, iconst_2, i12, env, static) -{0,0}> main_Load_571(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i114 && iconst_2 = 2

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

obtained
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_23(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_23(o1, env, static) -{0,0}> langle_clinit_rangle_New_28(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_28(o1, env, static) -{0,0}> langle_clinit_rangle_New_29(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_29(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_32(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_32(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_36(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_36(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_39(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_39(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_41(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_43(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_43(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_46(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_46(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_48(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_48(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_51(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_51(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_53(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_53(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(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_68(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_68(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_72(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_72(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_84(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_84(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_135(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_135(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_162(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_162(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_177(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_177(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_189(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_189(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) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50
by chaining
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_219(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_219(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_229(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_233(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_Load_457(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
main_Load_457(a131, i61, i62, 2, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12
by chaining
main_Load_457(a131, i61, i62, iconst_2, i12, env, static) -{1,1}> main_Load_465(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_Load_465(a131, i61, i62, iconst_2, i12, env, static) -{1,1}> main_NE_467(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131

obtained
main_NE_467(a131, i61, i61, 2, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12
by chaining
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_474(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && i61 = i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131
main_NE_474(a131, i62, iconst_2, i12, env, static) -{1,1}> main_Load_479(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 = i62 && iconst_2 = 2 && 0 < a131
main_Load_479(a131, i62, iconst_2, i12, env, static) -{1,1}> main_LE_482(a131, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && iconst_2 = 2 && 0 < a131

obtained
main_LE_482(a131, i70, 2, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70
by chaining
main_LE_482(a131, i70, iconst_2, i12, env, static) -{0,0}> main_LE_487(a131, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && iconst_2 = 2 && 1 <= i70 && 0 < a131
main_LE_487(a131, i70, iconst_2, i12, env, static) -{1,1}> main_Load_496(a131, i70, iconst_2, i12, env, static) :|: 0 < i70 && 2 <= i12 && 1 <= i70 && iconst_2 = 2 && 0 < a131
main_Load_496(a131, i70, iconst_2, i12, env, static) -{0,0}> main_Load_511(a131, i70, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 1 <= i70 && iconst_2 = 2 && 0 < a131
main_Load_511(a143, i76, i77, iconst_2, i12, env, static) -{0,0}> main_Load_542(a143, i76, i77, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i76 && 0 <= i77 && 0 < a143 && -1 <= i76 && iconst_2 = 2
main_Load_542(a153, i89, i90, iconst_2, i12, env, static) -{0,0}> main_Load_571(a153, i89, i90, iconst_2, i12, env, static) :|: 0 <= i90 && 2 <= i12 && -1 <= i89 && 0 < a153 && iconst_2 = 2

obtained
main_LE_575(a163, i109, i102, 2, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109
by chaining
main_LE_575(a163, i109, i102, iconst_2, i12, env, static) -{0,0}> main_LE_578(a163, i109, i102, iconst_2, i12, env, static) :|: 0 < a163 && 0 <= i109 && 2 <= i12 && 1 <= i109 && iconst_2 = 2
main_LE_578(a163, i109, i102, iconst_2, i12, env, static) -{1,1}> main_Inc_583(a163, i102, i109, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 1 <= i109 && iconst_2 = 2 && 0 < i109
main_Inc_583(a163, i102, i109, iconst_2, i12, env, static) -{1,1}> main_Inc_584(a163, i113, i109, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && i102 + -1 = i113 && 1 <= i109 && iconst_2 = 2
main_Inc_584(a163, i113, i109, iconst_2, i12, env, static) -{1,1}> main_JMP_585(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i114 && i109 + -1 = i114 && iconst_2 = 2
main_JMP_585(a163, i113, i114, iconst_2, i12, env, static) -{1,1}> main_Load_587(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i114 && iconst_2 = 2
main_Load_587(a163, i113, i114, iconst_2, i12, env, static) -{0,0}> main_Load_571(a163, i113, i114, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i114 && iconst_2 = 2

obtained
main_LE_575(a163, 0, i102, 2, i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12
by chaining
main_LE_575(a163, iconst_0, i102, iconst_2, i12, env, static) -{0,0}> main_LE_577(a163, iconst_0, i102, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2
main_LE_577(a163, iconst_0, i102, iconst_2, i12, env, static) -{1,1}> main_Load_581(a163, i102, iconst_0, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2
main_Load_581(a163, i102, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_457(a163, i102, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 0 < a163 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2

(40) Obligation:

IntTrs with 17 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_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_220(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) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50
main_Load_457(a131, i61, i62, 2, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && !(i61 = i62) && iconst_2 = 2 && 0 < a131
main_NE_467(a131, i61, i61, 2, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12
main_LE_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
main_LE_482(a131, i70, 2, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
main_LE_575(a163, i109, i102, 2, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109
main_LE_575(a163, 0, i102, 2, i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12

(41) 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

main_LE_575(a163, 0, i102, 2, i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12
was transformed to
main_LE_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && x' = 2

random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50 && x = 2

main_NE_467(a131, i61, i61, 2, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12
was transformed to
main_NE_467(a131, i61, i61, x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2

main_Load_457(a131, i61, i62, 2, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12
was transformed to
main_Load_457(a131, i61, i62, x, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12 && x = 2

main_LE_575(a163, i109, i102, 2, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109
was transformed to
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2

main_LE_482(a131, i70, 2, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70
was transformed to
main_LE_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70 && 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

(42) Obligation:

IntTrs with 17 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && !(i61 = i62) && iconst_2 = 2 && 0 < a131
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
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_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && x' = 2
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50 && x = 2
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_NE_467(a131, i61, i61, x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2
main_Load_457(a131, i61, i62, x, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2
main_LE_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70 && 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_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
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

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

Linearized lhss.

main_NE_467(a131, i61, i61, x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2
was transformed to
main_NE_467(a131, i61, x', x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2 && x' = i61

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

(44) Obligation:

IntTrs with 17 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && !(i61 = i62) && iconst_2 = 2 && 0 < a131
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_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_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
main_LE_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70 && x = 2
main_NE_467(a131, i61, x', x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2 && x' = i61
main_LE_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && 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
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && 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
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_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, 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
main_Load_457(a131, i61, i62, x, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12 && x = 2

(45) RemoveDivModProof (CONCRETE UPPER BOUND(ID) transformation)

Removed div and mod.

main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && !(i61 = i62) && iconst_2 = 2 && 0 < a131
was transformed to
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 < i62 && iconst_2 = 2 && 0 < a131
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 > i62 && iconst_2 = 2 && 0 < a131

(46) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
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, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_LE_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && x' = 2
main_LE_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70 && x = 2
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && 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_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50 && x = 2
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 > i62 && iconst_2 = 2 && 0 < a131
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 < i62 && iconst_2 = 2 && 0 < a131
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, 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
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_NE_467(a131, i61, x', x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2 && x' = i61
main_Load_457(a131, i61, i62, x, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12 && x = 2

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

Moved arithmethic from constraints to rhss.

main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, iconst_2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
was transformed to
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, 2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2

random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(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_220(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

main_LE_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
was transformed to
main_LE_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, 0, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131

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_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i113', i114', 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2
was transformed to
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i102 + -1, i109 + -1, 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2

main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 > i62 && iconst_2 = 2 && 0 < a131
was transformed to
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 > i62 && iconst_2 = 2 && 0 < a131

main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, iconst_2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 < i62 && iconst_2 = 2 && 0 < a131
was transformed to
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 < i62 && iconst_2 = 2 && 0 < a131

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

(48) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, 2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_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_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, 0, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
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_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70 && x = 2
main_LE_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && 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
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i102 + -1, i109 + -1, 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50 && x = 2
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 > i62 && iconst_2 = 2 && 0 < a131
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 < i62 && iconst_2 = 2 && 0 < a131
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
main_NE_467(a131, i61, x', x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2 && x' = i61
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_Load_457(a131, i61, i62, x, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12 && x = 2

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

Simplified expressions.

main_LE_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 <= 0 && 0 < a163 && 2 <= i12 && x = 0 && x' = 2
was transformed to
main_LE_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 < a163 && 2 <= i12 && x = 0 && x' = 2

main_LE_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && 0 <= i70 && -1 <= i70 && 2 <= i12 && 1 <= i70 && x = 2
was transformed to
main_LE_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && -1 <= i70 && 2 <= i12 && 1 <= i70 && x = 2

random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && 0 <= o50 && x = 2
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && x = 2

main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 > i62 && iconst_2 = 2 && 0 < a131
was transformed to
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 < i61 && iconst_2 = 2 && 0 < a131

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

main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i102 + -1, i109 + -1, 2, i12, env, static) :|: i102 + -1 = i113' && 0 < i109 && 0 <= i114' && i109 + -1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 0 <= i109 && x = 2
was transformed to
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i102 - 1, i109 - 1, 2, i12, env, static) :|: i102 - 1 = i113' && 0 < i109 && 0 <= i114' && i109 - 1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && 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

(50) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
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_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i61 < i62 && iconst_2 = 2 && 0 < a131
main_LE_482(a131, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_486(a131, 0, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && iconst_2 = 2 && 0 < a131
main_NE_467(a131, i61, i62, iconst_2, i12, env, static) -{0,0}> main_NE_473(a131, i61, i62, 2, i12, env, static) :|: 0 <= i62 && 2 <= i12 && i62 < i61 && iconst_2 = 2 && 0 < a131
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 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
main_Load_571(a163, i102, i103, iconst_2, i12, env, static) -{1,1}> main_LE_575(a163, i103, i102, 2, i12, env, static) :|: 0 < a163 && 2 <= i12 && 0 <= i103 && iconst_2 = 2
main_LE_575(a163, i109, i102, x, i12, env, static) -{4,4}> main_Load_571(a163, i102 - 1, i109 - 1, 2, i12, env, static) :|: i102 - 1 = i113' && 0 < i109 && 0 <= i114' && i109 - 1 = i114' && 0 < a163 && 2 <= i12 && 1 <= i109 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
main_LE_575(a163, x, i102, x', i12, env, static) -{1,1}> main_Load_457(a163, i102, 0, 2, i12, env, static) :|: 0 < a163 && 2 <= i12 && x = 0 && x' = 2
main_LE_482(a131, i70, x, i12, env, static) -{1,1}> main_Load_571(a131, i70, i70, 2, i12, env, static) :|: 0 < i70 && 0 < a131 && -1 <= i70 && 2 <= i12 && 1 <= i70 && 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
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_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_457(a6, i8, i20', 2, i12, env, static) :|: 2 <= i12 && 0 <= i20' && 0 <= i8 && 0 < o50 && 0 < a6 && i20' <= o50 && x = 2
main_NE_467(a131, i61, x', x, i12, env, static) -{2,2}> main_LE_482(a131, i61, 2, i12, env, static) :|: 0 <= i61 && 0 < a131 && 2 <= i12 && x = 2 && x' = i61
main_Load_457(a131, i61, i62, x, i12, env, static) -{2,2}> main_NE_467(a131, i61, i62, 2, i12, env, static) :|: 0 < a131 && 0 <= i62 && 2 <= i12 && x = 2