time complexity proof of /tmp/tmpOpNE4z/PastaB11.jar

The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 138 + 36 * |args|).

0 JBC problem

↳1 JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID), 481 ms)

↳2 JBCTerminationGraph

↳3 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(92)), 12 ms)

↳4 JBCComplexityEdges

    ↳5 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 133 ms)

    ↳6 WeightedIntTrs

        ↳7 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 46 ms)

        ↳8 WeightedIntTrs

        ↳9 MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID), 7 ms)

        ↳10 WeightedIntTrs

        ↳11 LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

        ↳12 WeightedIntTrs

        ↳13 RemoveDivModProof (CONCRETE UPPER BOUND(ID), 0 ms)

        ↳14 WeightedIntTrs

        ↳15 MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

        ↳16 WeightedIntTrs

        ↳17 ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

        ↳18 WeightedIntTrs

    ↳19 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 175 ms)

    ↳20 WeightedIntTrs

        ↳21 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 63 ms)

        ↳22 WeightedIntTrs

        ↳23 MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

        ↳24 WeightedIntTrs

        ↳25 LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

        ↳26 WeightedIntTrs

        ↳27 RemoveDivModProof (CONCRETE UPPER BOUND(ID), 0 ms)

        ↳28 WeightedIntTrs

        ↳29 MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

        ↳30 WeightedIntTrs

        ↳31 ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID), 18 ms)

        ↳32 WeightedIntTrs

↳33 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(92)), 8 ms)

↳34 JBCComplexityEdges

    ↳35 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 178 ms)

    ↳36 WeightedIntTrs

    ↳37 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 61 ms)

    ↳38 WeightedIntTrs

    ↳39 WeightedIntTrsUnneededArgumentFilterProof (CONCRETE UPPER BOUND(ID), 14 ms)

    ↳40 WeightedIntTrs

    ↳41 LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

    ↳42 WeightedIntTrs

    ↳43 RemoveDivModProof (CONCRETE UPPER BOUND(ID), 0 ms)

    ↳44 WeightedIntTrs

    ↳45 MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

    ↳46 WeightedIntTrs

    ↳47 ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

    ↳48 WeightedIntTrs

    ↳49 koat Proof (⇔, 183 ms)

    ↳50 BOUNDS(CONSTANT, 46 + 36 * |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 PastaB11 {
    public static void main(String[] args) {
        Random.args = args;
        int x = Random.random();
        int y = Random.random();

        while (x + y > 0) {
            if (x > y) {
                x--;
            } else if (x == y) {
                x--;
            } else {
                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:
PastaB11.main([Ljava/lang/String;)V: Graph of 190 nodes with 1 SCC.

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(92)) transformation)

Extracted set of 98 edges for the analysis of TIME complexity. Kept leaves.

(4) Obligation:

Set of 98 edges based on JBC Program.
Performed SCC analyses:

Used field analysis yielded the following read fields:

Considered paths: nonterm paths and paths from start to sinks

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

Transformed 98 jbc graph edges to a weighted ITS with 98 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.

(6) Obligation:

IntTrs with 98 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_3(o1, env, static) :|: 0 < o1
main_Load_3(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_14(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_14(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_23(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_23(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_26(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_26(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_35(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_35(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_43(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_43(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{1,1}> main_FieldAccess_48(o1, env, static) :|: 0 < o1
main_FieldAccess_48(o1, env, static) -{0,0}> main_FieldAccess_49(o1, env, static) :|: 0 < o1
main_FieldAccess_49(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_51(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_51(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_52(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_52(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_53(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_53(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_54(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_54(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_55(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_55(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_57(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_57(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_96(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_103(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_103(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_105(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_106(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_105(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_111(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_111(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_116(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_121(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_121(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_125(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_125(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_135(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_135(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
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_170(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_170(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_201(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_201(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_208(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_208(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_214(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_214(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_236(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_236(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_240(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_236(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_241(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_240(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_245(i22, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && i22 <= o50 && iconst_2 = 2
random_Return_245(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_250(a6, i22, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_250(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> main_Load_254(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_254(a6, i8, i22, iconst_2, i12, env, static) -{0,0}> main_Load_394(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && -1 <= i22 && 0 <= i8 && iconst_2 = 2
main_Load_394(a96, i8, i40, iconst_2, i12, env, static) -{0,0}> main_Load_458(a96, i8, i40, iconst_2, i12, env, static) :|: 2 <= i12 && -1 <= i8 && 0 <= i8 && iconst_2 = 2 && 0 < a96 && -1 <= i40
main_Load_458(a123, i50, i40, iconst_2, i12, env, static) -{0,0}> main_Load_519(a123, i50, i40, iconst_2, i12, env, static) :|: 2 <= i12 && -1 <= i50 && 0 < a123 && -2 <= i40 && iconst_2 = 2 && -1 <= i40
main_Load_519(a133, i50, i75, iconst_2, i12, env, static) -{0,0}> main_Load_547(a133, i50, i75, iconst_2, i12, env, static) :|: 2 <= i12 && -1 <= i50 && -2 <= i50 && 0 < a133 && iconst_2 = 2 && -2 <= i75
main_Load_547(a141, i81, i75, iconst_2, i12, env, static) -{0,0}> main_Load_594(a141, i81, i75, iconst_2, i12, env, static) :|: 2 <= i12 && -2 <= i81 && iconst_2 = 2 && -2 <= i75 && 0 < a141
main_Load_594(a151, i81, i93, iconst_2, i12, env, static) -{0,0}> main_Load_643(a151, i81, i93, iconst_2, i12, env, static) :|: 2 <= i12 && -2 <= i81 && iconst_2 = 2 && 0 < a151
main_Load_643(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_645(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_645(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_647(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_IntArithmetic_647(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_LE_649(a159, i105, i103, i93, iconst_2, i12, env, static) :|: i103 + i93 = i105 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_649(a159, i106, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_650(a159, i106, i103, i93, iconst_2, i12, env, static) :|: i106 <= 0 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_649(a159, i107, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_651(a159, i107, i103, i93, iconst_2, i12, env, static) :|: 1 <= i107 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_651(a159, i107, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_653(a159, i103, i93, iconst_2, i12, env, static) :|: 0 < i107 && 1 <= i107 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_653(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_656(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_656(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_LE_657(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_657(a159, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_659(a159, i103, i93, iconst_2, i12, env, static) :|: i103 <= i93 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_657(a159, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_660(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && i93 < i103 && 0 < a159
main_LE_659(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_662(a159, i103, i93, iconst_2, i12, env, static) :|: i103 <= i93 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_660(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Inc_664(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && i93 < i103 && 0 < a159
main_Load_662(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_666(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Inc_664(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_JMP_667(a159, i108, i93, iconst_2, i12, env, static) :|: 2 <= i12 && i103 + -1 = i108 && iconst_2 = 2 && 0 < a159
main_Load_666(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_NE_668(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_JMP_667(a159, i108, i93, iconst_2, i12, env, static) -{1,1}> main_Load_675(a159, i108, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_NE_668(a159, i103, i93, iconst_2, i12, env, static) -{0,0}> main_NE_684(a159, i103, i93, iconst_2, i12, env, static) :|: !(i103 = i93) && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_NE_668(a159, i103, i93, iconst_2, i12, env, static) -{0,0}> main_NE_686(a159, i93, iconst_2, i12, env, static) :|: 2 <= i12 && i103 = i93 && iconst_2 = 2 && 0 < a159
main_Load_675(a159, i108, i93, iconst_2, i12, env, static) -{0,0}> main_Load_643(a159, i108, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_NE_684(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Inc_691(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && i103 < i93 && 0 < a159
main_NE_686(a159, i93, iconst_2, i12, env, static) -{1,1}> main_Inc_694(a159, i93, iconst_2, i12, env, static) :|: i93 = i93 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Inc_691(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_JMP_697(a159, i103, i119, iconst_2, i12, env, static) :|: i93 + -1 = i119 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Inc_694(a159, i93, iconst_2, i12, env, static) -{1,1}> main_JMP_698(a159, i120, i93, iconst_2, i12, env, static) :|: 2 <= i12 && i93 + -1 = i120 && iconst_2 = 2 && 0 < a159
main_JMP_697(a159, i103, i119, iconst_2, i12, env, static) -{1,1}> main_Load_699(a159, i103, i119, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_JMP_698(a159, i120, i93, iconst_2, i12, env, static) -{1,1}> main_Load_701(a159, i120, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_699(a159, i103, i119, iconst_2, i12, env, static) -{0,0}> main_Load_643(a159, i103, i119, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_701(a159, i120, i93, iconst_2, i12, env, static) -{0,0}> main_Load_643(a159, i120, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159

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

obtained
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(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_14(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_14(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_23(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_23(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_26(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_26(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_35(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_35(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_43(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_43(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{1,1}> main_FieldAccess_48(o1, env, static) :|: 0 < o1
main_FieldAccess_48(o1, env, static) -{0,0}> main_FieldAccess_49(o1, env, static) :|: 0 < o1
main_FieldAccess_49(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_51(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_51(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_52(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_52(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_53(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_53(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_54(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_54(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_55(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_55(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_57(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_57(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6

obtained
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_103(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_96(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_103(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6

obtained
random_InvokeMethod_103(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
by chaining
random_InvokeMethod_103(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_105(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_105(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_111(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_111(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_116(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_121(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_121(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_125(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_125(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_135(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_135(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8

obtained
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_236(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_170(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_170(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_201(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_201(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_208(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_208(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_214(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_214(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_236(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_236(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_643(a6, i8, i22', 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i22' <= o50 && 0 <= i8 && 2 <= i12 && -2 <= i8 && 0 < o50 && -1 <= i8 && -2 <= i22' && 0 <= i22' && -1 <= i22'
by chaining
random_InvokeMethod_236(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_240(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_240(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_245(i22, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && i22 <= o50 && iconst_2 = 2
random_Return_245(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_250(a6, i22, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_250(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> main_Load_254(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_254(a6, i8, i22, iconst_2, i12, env, static) -{0,0}> main_Load_394(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && -1 <= i22 && 0 <= i8 && iconst_2 = 2
main_Load_394(a96, i8, i40, iconst_2, i12, env, static) -{0,0}> main_Load_458(a96, i8, i40, iconst_2, i12, env, static) :|: 2 <= i12 && -1 <= i8 && 0 <= i8 && iconst_2 = 2 && 0 < a96 && -1 <= i40
main_Load_458(a123, i50, i40, iconst_2, i12, env, static) -{0,0}> main_Load_519(a123, i50, i40, iconst_2, i12, env, static) :|: 2 <= i12 && -1 <= i50 && 0 < a123 && -2 <= i40 && iconst_2 = 2 && -1 <= i40
main_Load_519(a133, i50, i75, iconst_2, i12, env, static) -{0,0}> main_Load_547(a133, i50, i75, iconst_2, i12, env, static) :|: 2 <= i12 && -1 <= i50 && -2 <= i50 && 0 < a133 && iconst_2 = 2 && -2 <= i75
main_Load_547(a141, i81, i75, iconst_2, i12, env, static) -{0,0}> main_Load_594(a141, i81, i75, iconst_2, i12, env, static) :|: 2 <= i12 && -2 <= i81 && iconst_2 = 2 && -2 <= i75 && 0 < a141
main_Load_594(a151, i81, i93, iconst_2, i12, env, static) -{0,0}> main_Load_643(a151, i81, i93, iconst_2, i12, env, static) :|: 2 <= i12 && -2 <= i81 && iconst_2 = 2 && 0 < a151

obtained
main_Load_643(a159, i103, i93, 2, i12, env, static) -{3,3}> main_LE_649(a159, i105', i103, i93, 2, i12, env, static) :|: 0 < a159 && 2 <= i12 && i103 + i93 = i105'
by chaining
main_Load_643(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_645(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_645(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_647(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_IntArithmetic_647(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_LE_649(a159, i105, i103, i93, iconst_2, i12, env, static) :|: i103 + i93 = i105 && 2 <= i12 && iconst_2 = 2 && 0 < a159

obtained
main_LE_649(a159, i107, i103, i93, 2, i12, env, static) -{3,3}> main_LE_657(a159, i103, i93, 2, i12, env, static) :|: 1 <= i107 && 0 < a159 && 2 <= i12 && 0 < i107
by chaining
main_LE_649(a159, i107, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_651(a159, i107, i103, i93, iconst_2, i12, env, static) :|: 1 <= i107 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_651(a159, i107, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_653(a159, i103, i93, iconst_2, i12, env, static) :|: 0 < i107 && 1 <= i107 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_653(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_656(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_656(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_LE_657(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159

obtained
main_LE_657(a159, i103, i93, 2, i12, env, static) -{3,3}> main_Load_643(a159, i108', i93, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108'
by chaining
main_LE_657(a159, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_660(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && i93 < i103 && 0 < a159
main_LE_660(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Inc_664(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && i93 < i103 && 0 < a159
main_Inc_664(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_JMP_667(a159, i108, i93, iconst_2, i12, env, static) :|: 2 <= i12 && i103 + -1 = i108 && iconst_2 = 2 && 0 < a159
main_JMP_667(a159, i108, i93, iconst_2, i12, env, static) -{1,1}> main_Load_675(a159, i108, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_675(a159, i108, i93, iconst_2, i12, env, static) -{0,0}> main_Load_643(a159, i108, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159

obtained
main_LE_657(a159, i103, i93, 2, i12, env, static) -{3,3}> main_NE_668(a159, i103, i93, 2, i12, env, static) :|: i103 <= i93 && 0 < a159 && 2 <= i12
by chaining
main_LE_657(a159, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_659(a159, i103, i93, iconst_2, i12, env, static) :|: i103 <= i93 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_659(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_662(a159, i103, i93, iconst_2, i12, env, static) :|: i103 <= i93 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_662(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_666(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_666(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_NE_668(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159

obtained
main_NE_668(a159, i103, i103, 2, i12, env, static) -{3,3}> main_Load_643(a159, i120', i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120'
by chaining
main_NE_668(a159, i103, i93, iconst_2, i12, env, static) -{0,0}> main_NE_686(a159, i93, iconst_2, i12, env, static) :|: 2 <= i12 && i103 = i93 && iconst_2 = 2 && 0 < a159
main_NE_686(a159, i93, iconst_2, i12, env, static) -{1,1}> main_Inc_694(a159, i93, iconst_2, i12, env, static) :|: i93 = i93 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Inc_694(a159, i93, iconst_2, i12, env, static) -{1,1}> main_JMP_698(a159, i120, i93, iconst_2, i12, env, static) :|: 2 <= i12 && i93 + -1 = i120 && iconst_2 = 2 && 0 < a159
main_JMP_698(a159, i120, i93, iconst_2, i12, env, static) -{1,1}> main_Load_701(a159, i120, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_701(a159, i120, i93, iconst_2, i12, env, static) -{0,0}> main_Load_643(a159, i120, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159

obtained
main_NE_668(a159, i103, i93, 2, i12, env, static) -{3,3}> main_Load_643(a159, i103, i119', 2, i12, env, static) :|: !(i103 = i93) && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'
by chaining
main_NE_668(a159, i103, i93, iconst_2, i12, env, static) -{0,0}> main_NE_684(a159, i103, i93, iconst_2, i12, env, static) :|: !(i103 = i93) && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_NE_684(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Inc_691(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && i103 < i93 && 0 < a159
main_Inc_691(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_JMP_697(a159, i103, i119, iconst_2, i12, env, static) :|: i93 + -1 = i119 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_JMP_697(a159, i103, i119, iconst_2, i12, env, static) -{1,1}> main_Load_699(a159, i103, i119, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_699(a159, i103, i119, iconst_2, i12, env, static) -{0,0}> main_Load_643(a159, i103, i119, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159

(8) Obligation:

IntTrs with 16 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, i6, env, static) -{7,7}> random_InvokeMethod_103(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_106(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_103(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 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_236(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_236(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_241(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_236(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_643(a6, i8, i22', 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i22' <= o50 && 0 <= i8 && 2 <= i12 && -2 <= i8 && 0 < o50 && -1 <= i8 && -2 <= i22' && 0 <= i22' && -1 <= i22'
main_Load_643(a159, i103, i93, 2, i12, env, static) -{3,3}> main_LE_649(a159, i105', i103, i93, 2, i12, env, static) :|: 0 < a159 && 2 <= i12 && i103 + i93 = i105'
main_LE_649(a159, i106, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_650(a159, i106, i103, i93, iconst_2, i12, env, static) :|: i106 <= 0 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_649(a159, i107, i103, i93, 2, i12, env, static) -{3,3}> main_LE_657(a159, i103, i93, 2, i12, env, static) :|: 1 <= i107 && 0 < a159 && 2 <= i12 && 0 < i107
main_LE_657(a159, i103, i93, 2, i12, env, static) -{3,3}> main_Load_643(a159, i108', i93, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108'
main_LE_657(a159, i103, i93, 2, i12, env, static) -{3,3}> main_NE_668(a159, i103, i93, 2, i12, env, static) :|: i103 <= i93 && 0 < a159 && 2 <= i12
main_NE_668(a159, i103, i103, 2, i12, env, static) -{3,3}> main_Load_643(a159, i120', i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120'
main_NE_668(a159, i103, i93, 2, i12, env, static) -{3,3}> main_Load_643(a159, i103, i119', 2, i12, env, static) :|: !(i103 = i93) && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'

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

Moved arithmethic from lhss to constraints.

random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_103(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_103(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

main_LE_657(a159, i103, i93, 2, i12, env, static) -{3,3}> main_NE_668(a159, i103, i93, 2, i12, env, static) :|: i103 <= i93 && 0 < a159 && 2 <= i12
was transformed to
main_LE_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_NE_668(a159, i103, i93, 2, i12, env, static) :|: i103 <= i93 && 0 < a159 && 2 <= i12 && x = 2

main_LE_657(a159, i103, i93, 2, i12, env, static) -{3,3}> main_Load_643(a159, i108', i93, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108'
was transformed to
main_LE_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i108', i93, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108' && x = 2

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_236(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_236(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_Load_643(a159, i103, i93, 2, i12, env, static) -{3,3}> main_LE_649(a159, i105', i103, i93, 2, i12, env, static) :|: 0 < a159 && 2 <= i12 && i103 + i93 = i105'
was transformed to
main_Load_643(a159, i103, i93, x, i12, env, static) -{3,3}> main_LE_649(a159, i105', i103, i93, 2, i12, env, static) :|: 0 < a159 && 2 <= i12 && i103 + i93 = i105' && x = 2

main_NE_668(a159, i103, i93, 2, i12, env, static) -{3,3}> main_Load_643(a159, i103, i119', 2, i12, env, static) :|: !(i103 = i93) && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'
was transformed to
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i119', 2, i12, env, static) :|: !(i103 = i93) && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2

main_NE_668(a159, i103, i103, 2, i12, env, static) -{3,3}> main_Load_643(a159, i120', i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120'
was transformed to
main_NE_668(a159, i103, i103, x, i12, env, static) -{3,3}> main_Load_643(a159, i120', i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = 2

random_InvokeMethod_103(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
was transformed to
random_InvokeMethod_103(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1

main_LE_649(a159, i107, i103, i93, 2, i12, env, static) -{3,3}> main_LE_657(a159, i103, i93, 2, i12, env, static) :|: 1 <= i107 && 0 < a159 && 2 <= i12 && 0 < i107
was transformed to
main_LE_649(a159, i107, i103, i93, x, i12, env, static) -{3,3}> main_LE_657(a159, i103, i93, 2, i12, env, static) :|: 1 <= i107 && 0 < a159 && 2 <= i12 && 0 < i107 && x = 2

random_InvokeMethod_236(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_643(a6, i8, i22', 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i22' <= o50 && 0 <= i8 && 2 <= i12 && -2 <= i8 && 0 < o50 && -1 <= i8 && -2 <= i22' && 0 <= i22' && -1 <= i22'
was transformed to
random_InvokeMethod_236(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_643(a6, i8, i22', 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i22' <= o50 && 0 <= i8 && 2 <= i12 && -2 <= i8 && 0 < o50 && -1 <= i8 && -2 <= i22' && 0 <= i22' && -1 <= i22' && x = 2

(10) Obligation:

IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_103(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_NE_668(a159, i103, i93, 2, i12, env, static) :|: i103 <= i93 && 0 < a159 && 2 <= i12 && x = 2
main_LE_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i108', i93, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108' && 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_LE_649(a159, i106, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_650(a159, i106, i103, i93, iconst_2, i12, env, static) :|: i106 <= 0 && 2 <= i12 && iconst_2 = 2 && 0 < a159
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_236(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_103(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_106(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
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_Load_643(a159, i103, i93, x, i12, env, static) -{3,3}> main_LE_649(a159, i105', i103, i93, 2, i12, env, static) :|: 0 < a159 && 2 <= i12 && i103 + i93 = i105' && x = 2
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i119', 2, i12, env, static) :|: !(i103 = i93) && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2
main_NE_668(a159, i103, i103, x, i12, env, static) -{3,3}> main_Load_643(a159, i120', i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = 2
random_InvokeMethod_103(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
main_LE_649(a159, i107, i103, i93, x, i12, env, static) -{3,3}> main_LE_657(a159, i103, i93, 2, i12, env, static) :|: 1 <= i107 && 0 < a159 && 2 <= i12 && 0 < i107 && x = 2
random_InvokeMethod_236(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_643(a6, i8, i22', 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i22' <= o50 && 0 <= i8 && 2 <= i12 && -2 <= i8 && 0 < o50 && -1 <= i8 && -2 <= i22' && 0 <= i22' && -1 <= i22' && x = 2
random_InvokeMethod_236(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_241(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6

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

Linearized lhss.

main_NE_668(a159, i103, i103, x, i12, env, static) -{3,3}> main_Load_643(a159, i120', i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = 2
was transformed to
main_NE_668(a159, i103, x', x, i12, env, static) -{3,3}> main_Load_643(a159, i120', i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = 2 && x' = i103

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

(12) Obligation:

IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_NE_668(a159, i103, x', x, i12, env, static) -{3,3}> main_Load_643(a159, i120', i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = 2 && x' = i103
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i119', 2, i12, env, static) :|: !(i103 = i93) && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2
main_LE_649(a159, i107, i103, i93, x, i12, env, static) -{3,3}> main_LE_657(a159, i103, i93, 2, i12, env, static) :|: 1 <= i107 && 0 < a159 && 2 <= i12 && 0 < i107 && 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_103(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_106(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_649(a159, i106, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_650(a159, i106, i103, i93, iconst_2, i12, env, static) :|: i106 <= 0 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_NE_668(a159, i103, i93, 2, i12, env, static) :|: i103 <= i93 && 0 < a159 && 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_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i108', i93, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108' && x = 2
random_InvokeMethod_236(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_643(a6, i8, i22', 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i22' <= o50 && 0 <= i8 && 2 <= i12 && -2 <= i8 && 0 < o50 && -1 <= i8 && -2 <= i22' && 0 <= i22' && -1 <= i22' && x = 2
main_Load_643(a159, i103, i93, x, i12, env, static) -{3,3}> main_LE_649(a159, i105', i103, i93, 2, i12, env, static) :|: 0 < a159 && 2 <= i12 && i103 + i93 = i105' && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_236(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_103(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
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_236(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_241(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Removed div and mod.

main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i119', 2, i12, env, static) :|: !(i103 = i93) && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2
was transformed to
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i119', 2, i12, env, static) :|: i103 < i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i119', 2, i12, env, static) :|: i103 > i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2

(14) Obligation:

IntTrs with 17 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
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_NE_668(a159, i103, x', x, i12, env, static) -{3,3}> main_Load_643(a159, i120', i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = 2 && x' = i103
main_LE_649(a159, i107, i103, i93, x, i12, env, static) -{3,3}> main_LE_657(a159, i103, i93, 2, i12, env, static) :|: 1 <= i107 && 0 < a159 && 2 <= i12 && 0 < i107 && x = 2
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i119', 2, i12, env, static) :|: i103 > i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2
random_InvokeMethod_103(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i119', 2, i12, env, static) :|: i103 < i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2
main_LE_649(a159, i106, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_650(a159, i106, i103, i93, iconst_2, i12, env, static) :|: i106 <= 0 && 2 <= i12 && iconst_2 = 2 && 0 < a159
random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_106(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_NE_668(a159, i103, i93, 2, i12, env, static) :|: i103 <= i93 && 0 < a159 && 2 <= i12 && x = 2
main_LE_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i108', i93, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108' && 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_Load_643(a159, i103, i93, x, i12, env, static) -{3,3}> main_LE_649(a159, i105', i103, i93, 2, i12, env, static) :|: 0 < a159 && 2 <= i12 && i103 + i93 = i105' && x = 2
random_InvokeMethod_236(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_643(a6, i8, i22', 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i22' <= o50 && 0 <= i8 && 2 <= i12 && -2 <= i8 && 0 < o50 && -1 <= i8 && -2 <= i22' && 0 <= i22' && -1 <= i22' && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_236(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, 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_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_103(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_236(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_241(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Moved arithmethic from constraints to rhss.

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_NE_668(a159, i103, x', x, i12, env, static) -{3,3}> main_Load_643(a159, i120', i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = 2 && x' = i103
was transformed to
main_NE_668(a159, i103, x', x, i12, env, static) -{3,3}> main_Load_643(a159, i103 + -1, i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = 2 && x' = i103

main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i119', 2, i12, env, static) :|: i103 > i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2
was transformed to
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i93 + -1, 2, i12, env, static) :|: i103 > i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2

random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_106(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_106(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

main_LE_649(a159, i106, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_650(a159, i106, i103, i93, iconst_2, i12, env, static) :|: i106 <= 0 && 2 <= i12 && iconst_2 = 2 && 0 < a159
was transformed to
main_LE_649(a159, i106, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_650(a159, i106, i103, i93, 2, i12, env, static) :|: i106 <= 0 && 2 <= i12 && iconst_2 = 2 && 0 < a159

main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i119', 2, i12, env, static) :|: i103 < i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2
was transformed to
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i93 + -1, 2, i12, env, static) :|: i103 < i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2

main_LE_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i108', i93, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108' && x = 2
was transformed to
main_LE_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103 + -1, i93, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108' && x = 2

main_Load_643(a159, i103, i93, x, i12, env, static) -{3,3}> main_LE_649(a159, i105', i103, i93, 2, i12, env, static) :|: 0 < a159 && 2 <= i12 && i103 + i93 = i105' && x = 2
was transformed to
main_Load_643(a159, i103, i93, x, i12, env, static) -{3,3}> main_LE_649(a159, i103 + i93, i103, i93, 2, i12, env, static) :|: 0 < a159 && 2 <= i12 && i103 + i93 = i105' && x = 2

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

random_InvokeMethod_236(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_241(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_236(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_241(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

(16) Obligation:

IntTrs with 17 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
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_NE_668(a159, i103, x', x, i12, env, static) -{3,3}> main_Load_643(a159, i103 + -1, i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = 2 && x' = i103
main_LE_649(a159, i107, i103, i93, x, i12, env, static) -{3,3}> main_LE_657(a159, i103, i93, 2, i12, env, static) :|: 1 <= i107 && 0 < a159 && 2 <= i12 && 0 < i107 && x = 2
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i93 + -1, 2, i12, env, static) :|: i103 > i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2
random_InvokeMethod_103(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_106(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_649(a159, i106, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_650(a159, i106, i103, i93, 2, i12, env, static) :|: i106 <= 0 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i93 + -1, 2, i12, env, static) :|: i103 < i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2
main_LE_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_NE_668(a159, i103, i93, 2, i12, env, static) :|: i103 <= i93 && 0 < a159 && 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_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103 + -1, i93, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108' && x = 2
random_InvokeMethod_236(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_643(a6, i8, i22', 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i22' <= o50 && 0 <= i8 && 2 <= i12 && -2 <= i8 && 0 < o50 && -1 <= i8 && -2 <= i22' && 0 <= i22' && -1 <= i22' && x = 2
main_Load_643(a159, i103, i93, x, i12, env, static) -{3,3}> main_LE_649(a159, i103 + i93, i103, i93, 2, i12, env, static) :|: 0 < a159 && 2 <= i12 && i103 + i93 = i105' && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_236(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_103(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_236(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_241(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Simplified expressions.

main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i93 + -1, 2, i12, env, static) :|: i103 > i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2
was transformed to
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i93 - 1, 2, i12, env, static) :|: i93 < i103 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 - 1 = i119' && x = 2

main_NE_668(a159, i103, x', x, i12, env, static) -{3,3}> main_Load_643(a159, i103 + -1, i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = 2 && x' = i103
was transformed to
main_NE_668(a159, i103, x', x, i12, env, static) -{3,3}> main_Load_643(a159, i103 - 1, i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 - 1 = i120' && x = 2 && x' = i103

random_InvokeMethod_103(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
was transformed to
random_InvokeMethod_103(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1

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

random_InvokeMethod_236(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_643(a6, i8, i22', 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i22' <= o50 && 0 <= i8 && 2 <= i12 && -2 <= i8 && 0 < o50 && -1 <= i8 && -2 <= i22' && 0 <= i22' && -1 <= i22' && x = 2
was transformed to
random_InvokeMethod_236(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_643(a6, i8, i22', 2, i12, env, static) :|: 0 < a6 && i22' <= o50 && 0 <= i8 && 2 <= i12 && -2 <= i8 && 0 < o50 && -1 <= i8 && -2 <= i22' && 0 <= i22' && -1 <= i22' && x = 2

main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i93 + -1, 2, i12, env, static) :|: i103 < i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2
was transformed to
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i93 - 1, 2, i12, env, static) :|: 0 < a159 && 2 <= i12 && i103 < i93 && i93 - 1 = i119' && x = 2

main_LE_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103 + -1, i93, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108' && x = 2
was transformed to
main_LE_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103 - 1, i93, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 - 1 = i108' && x = 2

(18) Obligation:

IntTrs with 17 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_236(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_241(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i93 - 1, 2, i12, env, static) :|: i93 < i103 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 - 1 = i119' && x = 2
main_LE_649(a159, i107, i103, i93, x, i12, env, static) -{3,3}> main_LE_657(a159, i103, i93, 2, i12, env, static) :|: 1 <= i107 && 0 < a159 && 2 <= i12 && 0 < i107 && x = 2
main_NE_668(a159, i103, x', x, i12, env, static) -{3,3}> main_Load_643(a159, i103 - 1, i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 - 1 = i120' && x = 2 && x' = i103
random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_106(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_643(a159, i103, i93, x, i12, env, static) -{3,3}> main_LE_649(a159, i103 + i93, i103, i93, 2, i12, env, static) :|: 0 < a159 && 2 <= i12 && i103 + i93 = i105' && x = 2
main_LE_649(a159, i106, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_650(a159, i106, i103, i93, 2, i12, env, static) :|: i106 <= 0 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103 - 1, i93, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 - 1 = i108' && 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_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_NE_668(a159, i103, i93, 2, i12, env, static) :|: i103 <= i93 && 0 < a159 && 2 <= i12 && x = 2
random_InvokeMethod_236(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_643(a6, i8, i22', 2, i12, env, static) :|: 0 < a6 && i22' <= o50 && 0 <= i8 && 2 <= i12 && -2 <= i8 && 0 < o50 && -1 <= i8 && -2 <= i22' && 0 <= i22' && -1 <= i22' && x = 2
random_InvokeMethod_103(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i93 - 1, 2, i12, env, static) :|: 0 < a159 && 2 <= i12 && i103 < i93 && i93 - 1 = i119' && x = 2
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_236(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_103(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

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

Transformed 98 jbc graph edges to a weighted ITS with 98 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.

(20) Obligation:

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

(22) Obligation:

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

Moved arithmethic from lhss to constraints.

(24) Obligation:

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

Linearized lhss.

(26) Obligation:

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

Removed div and mod.

(28) Obligation:

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

Moved arithmethic from constraints to rhss.

(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:
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_NE_668(a159, i103, x', x, i12, env, static) -{3,3}> main_Load_643(a159, i103 + -1, i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = 2 && x' = i103
main_LE_649(a159, i107, i103, i93, x, i12, env, static) -{3,3}> main_LE_657(a159, i103, i93, 2, i12, env, static) :|: 1 <= i107 && 0 < a159 && 2 <= i12 && 0 < i107 && x = 2
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i93 + -1, 2, i12, env, static) :|: i103 > i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2
random_InvokeMethod_103(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_106(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_649(a159, i106, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_650(a159, i106, i103, i93, 2, i12, env, static) :|: i106 <= 0 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_NE_668(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103, i93 + -1, 2, i12, env, static) :|: i103 < i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119' && x = 2
main_LE_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_NE_668(a159, i103, i93, 2, i12, env, static) :|: i103 <= i93 && 0 < a159 && 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_657(a159, i103, i93, x, i12, env, static) -{3,3}> main_Load_643(a159, i103 + -1, i93, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108' && x = 2
random_InvokeMethod_236(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_643(a6, i8, i22', 2, i12, env, static) :|: 0 <= o50 && 0 < a6 && i22' <= o50 && 0 <= i8 && 2 <= i12 && -2 <= i8 && 0 < o50 && -1 <= i8 && -2 <= i22' && 0 <= i22' && -1 <= i22' && x = 2
main_Load_643(a159, i103, i93, x, i12, env, static) -{3,3}> main_LE_649(a159, i103 + i93, i103, i93, 2, i12, env, static) :|: 0 < a159 && 2 <= i12 && i103 + i93 = i105' && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_236(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_103(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_236(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_241(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Simplified expressions.

(32) Obligation:

(33) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(92)) transformation)

Extracted set of 93 edges for the analysis of TIME complexity. Dropped leaves.

(34) Obligation:

Set of 93 edges based on JBC Program.
Performed SCC analyses:

Used field analysis yielded the following read fields:

Considered paths: all paths from start

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

Transformed 93 jbc graph edges to a weighted ITS with 93 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.

(36) Obligation:

IntTrs with 93 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_3(o1, env, static) :|: 0 < o1
main_Load_3(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_14(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_14(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_23(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_23(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_26(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_26(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_35(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_35(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_43(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_43(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{1,1}> main_FieldAccess_48(o1, env, static) :|: 0 < o1
main_FieldAccess_48(o1, env, static) -{0,0}> main_FieldAccess_49(o1, env, static) :|: 0 < o1
main_FieldAccess_49(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_51(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_51(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_52(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_52(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_53(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_53(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_54(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_54(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_55(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_55(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_57(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_57(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_96(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_103(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_103(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_105(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_105(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_111(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_111(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_116(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_121(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_121(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_125(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_125(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_135(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_135(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 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_170(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_170(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_201(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_201(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_208(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_208(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_214(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_214(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_236(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_236(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_240(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_240(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_245(i22, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && i22 <= o50 && iconst_2 = 2
random_Return_245(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_250(a6, i22, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_250(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> main_Load_254(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_254(a6, i8, i22, iconst_2, i12, env, static) -{0,0}> main_Load_394(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && -1 <= i22 && 0 <= i8 && iconst_2 = 2
main_Load_394(a96, i8, i40, iconst_2, i12, env, static) -{0,0}> main_Load_458(a96, i8, i40, iconst_2, i12, env, static) :|: 2 <= i12 && -1 <= i8 && 0 <= i8 && iconst_2 = 2 && 0 < a96 && -1 <= i40
main_Load_458(a123, i50, i40, iconst_2, i12, env, static) -{0,0}> main_Load_519(a123, i50, i40, iconst_2, i12, env, static) :|: 2 <= i12 && -1 <= i50 && 0 < a123 && -2 <= i40 && iconst_2 = 2 && -1 <= i40
main_Load_519(a133, i50, i75, iconst_2, i12, env, static) -{0,0}> main_Load_547(a133, i50, i75, iconst_2, i12, env, static) :|: 2 <= i12 && -1 <= i50 && -2 <= i50 && 0 < a133 && iconst_2 = 2 && -2 <= i75
main_Load_547(a141, i81, i75, iconst_2, i12, env, static) -{0,0}> main_Load_594(a141, i81, i75, iconst_2, i12, env, static) :|: 2 <= i12 && -2 <= i81 && iconst_2 = 2 && -2 <= i75 && 0 < a141
main_Load_594(a151, i81, i93, iconst_2, i12, env, static) -{0,0}> main_Load_643(a151, i81, i93, iconst_2, i12, env, static) :|: 2 <= i12 && -2 <= i81 && iconst_2 = 2 && 0 < a151
main_Load_643(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_645(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_645(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_647(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_IntArithmetic_647(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_LE_649(a159, i105, i103, i93, iconst_2, i12, env, static) :|: i103 + i93 = i105 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_649(a159, i107, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_651(a159, i107, i103, i93, iconst_2, i12, env, static) :|: 1 <= i107 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_651(a159, i107, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_653(a159, i103, i93, iconst_2, i12, env, static) :|: 0 < i107 && 1 <= i107 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_653(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_656(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_656(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_LE_657(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_657(a159, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_659(a159, i103, i93, iconst_2, i12, env, static) :|: i103 <= i93 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_657(a159, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_660(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && i93 < i103 && 0 < a159
main_LE_659(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_662(a159, i103, i93, iconst_2, i12, env, static) :|: i103 <= i93 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_660(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Inc_664(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && i93 < i103 && 0 < a159
main_Load_662(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_666(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Inc_664(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_JMP_667(a159, i108, i93, iconst_2, i12, env, static) :|: 2 <= i12 && i103 + -1 = i108 && iconst_2 = 2 && 0 < a159
main_Load_666(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_NE_668(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_JMP_667(a159, i108, i93, iconst_2, i12, env, static) -{1,1}> main_Load_675(a159, i108, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_NE_668(a159, i103, i93, iconst_2, i12, env, static) -{0,0}> main_NE_684(a159, i103, i93, iconst_2, i12, env, static) :|: !(i103 = i93) && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_NE_668(a159, i103, i93, iconst_2, i12, env, static) -{0,0}> main_NE_686(a159, i93, iconst_2, i12, env, static) :|: 2 <= i12 && i103 = i93 && iconst_2 = 2 && 0 < a159
main_Load_675(a159, i108, i93, iconst_2, i12, env, static) -{0,0}> main_Load_643(a159, i108, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_NE_684(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Inc_691(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && i103 < i93 && 0 < a159
main_NE_686(a159, i93, iconst_2, i12, env, static) -{1,1}> main_Inc_694(a159, i93, iconst_2, i12, env, static) :|: i93 = i93 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Inc_691(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_JMP_697(a159, i103, i119, iconst_2, i12, env, static) :|: i93 + -1 = i119 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Inc_694(a159, i93, iconst_2, i12, env, static) -{1,1}> main_JMP_698(a159, i120, i93, iconst_2, i12, env, static) :|: 2 <= i12 && i93 + -1 = i120 && iconst_2 = 2 && 0 < a159
main_JMP_697(a159, i103, i119, iconst_2, i12, env, static) -{1,1}> main_Load_699(a159, i103, i119, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_JMP_698(a159, i120, i93, iconst_2, i12, env, static) -{1,1}> main_Load_701(a159, i120, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_699(a159, i103, i119, iconst_2, i12, env, static) -{0,0}> main_Load_643(a159, i103, i119, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_701(a159, i120, i93, iconst_2, i12, env, static) -{0,0}> main_Load_643(a159, i120, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159

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

obtained
main_Load_1(o1, env, static) -{46,46}> main_Load_643(o1, i8', i22', 2, i4', env, static'5) :|: static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && i22' <= o25' && 2 <= i4' && -2 <= i8' && 0 <= 1 && 0 <= i8' && -1 <= i8' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= 2 && 0 <= i22' && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && static'5 <= static'4 + 2 && -2 <= i22' && 1 <= i4' && -1 <= i22'
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(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_14(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_14(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_23(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_23(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_26(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_26(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_33(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_34(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_35(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_35(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_43(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_43(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_47(o1, env, static) :|: 0 < o1
main_Load_47(o1, env, static) -{1,1}> main_FieldAccess_48(o1, env, static) :|: 0 < o1
main_FieldAccess_48(o1, env, static) -{0,0}> main_FieldAccess_49(o1, env, static) :|: 0 < o1
main_FieldAccess_49(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_50(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_51(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_51(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_52(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_52(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_53(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_53(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_54(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_54(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_55(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_55(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_57(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_57(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_96(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_103(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_103(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_105(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_105(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_111(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_111(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_116(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_121(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_121(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_125(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_125(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_135(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_135(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 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_170(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_170(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_201(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_201(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_208(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_208(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_214(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_214(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_236(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_236(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_240(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_240(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_245(i22, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && i22 <= o50 && iconst_2 = 2
random_Return_245(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_250(a6, i22, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_250(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> main_Load_254(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_254(a6, i8, i22, iconst_2, i12, env, static) -{0,0}> main_Load_394(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && -1 <= i22 && 0 <= i8 && iconst_2 = 2
main_Load_394(a96, i8, i40, iconst_2, i12, env, static) -{0,0}> main_Load_458(a96, i8, i40, iconst_2, i12, env, static) :|: 2 <= i12 && -1 <= i8 && 0 <= i8 && iconst_2 = 2 && 0 < a96 && -1 <= i40
main_Load_458(a123, i50, i40, iconst_2, i12, env, static) -{0,0}> main_Load_519(a123, i50, i40, iconst_2, i12, env, static) :|: 2 <= i12 && -1 <= i50 && 0 < a123 && -2 <= i40 && iconst_2 = 2 && -1 <= i40
main_Load_519(a133, i50, i75, iconst_2, i12, env, static) -{0,0}> main_Load_547(a133, i50, i75, iconst_2, i12, env, static) :|: 2 <= i12 && -1 <= i50 && -2 <= i50 && 0 < a133 && iconst_2 = 2 && -2 <= i75
main_Load_547(a141, i81, i75, iconst_2, i12, env, static) -{0,0}> main_Load_594(a141, i81, i75, iconst_2, i12, env, static) :|: 2 <= i12 && -2 <= i81 && iconst_2 = 2 && -2 <= i75 && 0 < a141
main_Load_594(a151, i81, i93, iconst_2, i12, env, static) -{0,0}> main_Load_643(a151, i81, i93, iconst_2, i12, env, static) :|: 2 <= i12 && -2 <= i81 && iconst_2 = 2 && 0 < a151

obtained
main_Load_643(a159, i103, i93, 2, i12, env, static) -{6,6}> main_LE_657(a159, i103, i93, 2, i12, env, static) :|: 1 <= i105' && 0 < a159 && 2 <= i12 && i103 + i93 = i105' && 0 < i105'
by chaining
main_Load_643(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_645(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_645(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_647(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_IntArithmetic_647(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_LE_649(a159, i105, i103, i93, iconst_2, i12, env, static) :|: i103 + i93 = i105 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_649(a159, i107, i103, i93, iconst_2, i12, env, static) -{0,0}> main_LE_651(a159, i107, i103, i93, iconst_2, i12, env, static) :|: 1 <= i107 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_LE_651(a159, i107, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_653(a159, i103, i93, iconst_2, i12, env, static) :|: 0 < i107 && 1 <= i107 && 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_653(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_Load_656(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159
main_Load_656(a159, i103, i93, iconst_2, i12, env, static) -{1,1}> main_LE_657(a159, i103, i93, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_2 = 2 && 0 < a159

(38) Obligation:

IntTrs with 6 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_643(o1, i8', i22', 2, i4', env, static'5) :|: static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && i22' <= o25' && 2 <= i4' && -2 <= i8' && 0 <= 1 && 0 <= i8' && -1 <= i8' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= 2 && 0 <= i22' && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && static'5 <= static'4 + 2 && -2 <= i22' && 1 <= i4' && -1 <= i22'
main_Load_643(a159, i103, i93, 2, i12, env, static) -{6,6}> main_LE_657(a159, i103, i93, 2, i12, env, static) :|: 1 <= i105' && 0 < a159 && 2 <= i12 && i103 + i93 = i105' && 0 < i105'
main_LE_657(a159, i103, i93, 2, i12, env, static) -{3,3}> main_Load_643(a159, i108', i93, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108'
main_LE_657(a159, i103, i93, 2, i12, env, static) -{3,3}> main_NE_668(a159, i103, i93, 2, i12, env, static) :|: i103 <= i93 && 0 < a159 && 2 <= i12
main_NE_668(a159, i103, i103, 2, i12, env, static) -{3,3}> main_Load_643(a159, i120', i103, 2, i12, env, static) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120'
main_NE_668(a159, i103, i93, 2, i12, env, static) -{3,3}> main_Load_643(a159, i103, i119', 2, i12, env, static) :|: !(i103 = i93) && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'

(39) 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_643(x1, x2, x3, x4, x5, x6, x7) → main_Load_643(x1, x2, x3, x5)
main_LE_657(x1, x2, x3, x4, x5, x6, x7) → main_LE_657(x1, x2, x3, x5)
main_NE_668(x1, x2, x3, x4, x5, x6, x7) → main_NE_668(x1, x2, x3, x5)

(40) Obligation:

IntTrs with 6 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, static) -{46,46}> main_Load_643(o1, i8', i22', i4') :|: static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && i22' <= o25' && 2 <= i4' && -2 <= i8' && 0 <= 1 && 0 <= i8' && -1 <= i8' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= 2 && 0 <= i22' && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && static'5 <= static'4 + 2 && -2 <= i22' && 1 <= i4' && -1 <= i22'
main_Load_643(a159, i103, i93, i12) -{6,6}> main_LE_657(a159, i103, i93, i12) :|: 1 <= i105' && 0 < a159 && 2 <= i12 && i103 + i93 = i105' && 0 < i105'
main_LE_657(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i108', i93, i12) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108'
main_LE_657(a159, i103, i93, i12) -{3,3}> main_NE_668(a159, i103, i93, i12) :|: i103 <= i93 && 0 < a159 && 2 <= i12
main_NE_668(a159, i103, i103, i12) -{3,3}> main_Load_643(a159, i120', i103, i12) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120'
main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i119', i12) :|: !(i103 = i93) && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'

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

Linearized lhss.

main_NE_668(a159, i103, i103, i12) -{3,3}> main_Load_643(a159, i120', i103, i12) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120'
was transformed to
main_NE_668(a159, i103, x, i12) -{3,3}> main_Load_643(a159, i120', i103, i12) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = i103

(42) Obligation:

IntTrs with 6 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_NE_668(a159, i103, x, i12) -{3,3}> main_Load_643(a159, i120', i103, i12) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = i103
main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i119', i12) :|: !(i103 = i93) && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'
main_LE_657(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i108', i93, i12) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108'
main_Load_1(o1, static) -{46,46}> main_Load_643(o1, i8', i22', i4') :|: static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && i22' <= o25' && 2 <= i4' && -2 <= i8' && 0 <= 1 && 0 <= i8' && -1 <= i8' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= 2 && 0 <= i22' && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && static'5 <= static'4 + 2 && -2 <= i22' && 1 <= i4' && -1 <= i22'
main_LE_657(a159, i103, i93, i12) -{3,3}> main_NE_668(a159, i103, i93, i12) :|: i103 <= i93 && 0 < a159 && 2 <= i12
main_Load_643(a159, i103, i93, i12) -{6,6}> main_LE_657(a159, i103, i93, i12) :|: 1 <= i105' && 0 < a159 && 2 <= i12 && i103 + i93 = i105' && 0 < i105'

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

Removed div and mod.

main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i119', i12) :|: !(i103 = i93) && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'
was transformed to
main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i119', i12) :|: i103 > i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'
main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i119', i12) :|: i103 < i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'

(44) Obligation:

IntTrs with 7 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i119', i12) :|: i103 > i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'
main_LE_657(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i108', i93, i12) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108'
main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i119', i12) :|: i103 < i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'
main_NE_668(a159, i103, x, i12) -{3,3}> main_Load_643(a159, i120', i103, i12) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = i103
main_Load_1(o1, static) -{46,46}> main_Load_643(o1, i8', i22', i4') :|: static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && i22' <= o25' && 2 <= i4' && -2 <= i8' && 0 <= 1 && 0 <= i8' && -1 <= i8' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= 2 && 0 <= i22' && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && static'5 <= static'4 + 2 && -2 <= i22' && 1 <= i4' && -1 <= i22'
main_LE_657(a159, i103, i93, i12) -{3,3}> main_NE_668(a159, i103, i93, i12) :|: i103 <= i93 && 0 < a159 && 2 <= i12
main_Load_643(a159, i103, i93, i12) -{6,6}> main_LE_657(a159, i103, i93, i12) :|: 1 <= i105' && 0 < a159 && 2 <= i12 && i103 + i93 = i105' && 0 < i105'

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

Moved arithmethic from constraints to rhss.

main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i119', i12) :|: i103 > i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'
was transformed to
main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i93 + -1, i12) :|: i103 > i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'

main_LE_657(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i108', i93, i12) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108'
was transformed to
main_LE_657(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103 + -1, i93, i12) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108'

main_NE_668(a159, i103, x, i12) -{3,3}> main_Load_643(a159, i120', i103, i12) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = i103
was transformed to
main_NE_668(a159, i103, x, i12) -{3,3}> main_Load_643(a159, i103 + -1, i103, i12) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = i103

main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i119', i12) :|: i103 < i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'
was transformed to
main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i93 + -1, i12) :|: i103 < i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'

(46) Obligation:

IntTrs with 7 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i93 + -1, i12) :|: i103 > i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'
main_LE_657(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103 + -1, i93, i12) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108'
main_NE_668(a159, i103, x, i12) -{3,3}> main_Load_643(a159, i103 + -1, i103, i12) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = i103
main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i93 + -1, i12) :|: i103 < i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'
main_Load_1(o1, static) -{46,46}> main_Load_643(o1, i8', i22', i4') :|: static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && i22' <= o25' && 2 <= i4' && -2 <= i8' && 0 <= 1 && 0 <= i8' && -1 <= i8' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= 2 && 0 <= i22' && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && static'5 <= static'4 + 2 && -2 <= i22' && 1 <= i4' && -1 <= i22'
main_LE_657(a159, i103, i93, i12) -{3,3}> main_NE_668(a159, i103, i93, i12) :|: i103 <= i93 && 0 < a159 && 2 <= i12
main_Load_643(a159, i103, i93, i12) -{6,6}> main_LE_657(a159, i103, i93, i12) :|: 1 <= i105' && 0 < a159 && 2 <= i12 && i103 + i93 = i105' && 0 < i105'

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

Simplified expressions.

main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i93 + -1, i12) :|: i103 > i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'
was transformed to
main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i93 - 1, i12) :|: i93 < i103 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 - 1 = i119'

main_LE_657(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103 + -1, i93, i12) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 + -1 = i108'
was transformed to
main_LE_657(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103 - 1, i93, i12) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 - 1 = i108'

main_NE_668(a159, i103, x, i12) -{3,3}> main_Load_643(a159, i103 + -1, i103, i12) :|: 2 <= i12 && 0 < a159 && i103 + -1 = i120' && x = i103
was transformed to
main_NE_668(a159, i103, x, i12) -{3,3}> main_Load_643(a159, i103 - 1, i103, i12) :|: 2 <= i12 && 0 < a159 && i103 - 1 = i120' && x = i103

main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i93 + -1, i12) :|: i103 < i93 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 + -1 = i119'
was transformed to
main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i93 - 1, i12) :|: 0 < a159 && 2 <= i12 && i103 < i93 && i93 - 1 = i119'

main_Load_1(o1, static) -{46,46}> main_Load_643(o1, i8', i22', i4') :|: static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && i22' <= o25' && 2 <= i4' && -2 <= i8' && 0 <= 1 && 0 <= i8' && -1 <= i8' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o1 && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= 2 && 0 <= i22' && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && static'5 <= static'4 + 2 && -2 <= i22' && 1 <= i4' && -1 <= i22'
was transformed to
main_Load_1(o1, static) -{46,46}> main_Load_643(o1, i8', i22', i4') :|: static'4 <= static'3 + 1 && 0 < o1 && i22' <= o25' && 2 <= i4' && -2 <= i8' && 0 <= i8' && -1 <= i8' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= i22' && static'1 <= static''' + 1 && i4' < o1 && static'5 <= static'4 + 2 && -2 <= i22' && 1 <= i4' && -1 <= i22'

(48) Obligation:

IntTrs with 7 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i93 - 1, i12) :|: 0 < a159 && 2 <= i12 && i103 < i93 && i93 - 1 = i119'
main_LE_657(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103 - 1, i93, i12) :|: 2 <= i12 && 0 < a159 && i93 < i103 && i103 - 1 = i108'
main_Load_1(o1, static) -{46,46}> main_Load_643(o1, i8', i22', i4') :|: static'4 <= static'3 + 1 && 0 < o1 && i22' <= o25' && 2 <= i4' && -2 <= i8' && 0 <= i8' && -1 <= i8' && o25' < o1 && 0 <= i4' && 1 <= static'4 && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= static'2 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= i22' && static'1 <= static''' + 1 && i4' < o1 && static'5 <= static'4 + 2 && -2 <= i22' && 1 <= i4' && -1 <= i22'
main_NE_668(a159, i103, x, i12) -{3,3}> main_Load_643(a159, i103 - 1, i103, i12) :|: 2 <= i12 && 0 < a159 && i103 - 1 = i120' && x = i103
main_NE_668(a159, i103, i93, i12) -{3,3}> main_Load_643(a159, i103, i93 - 1, i12) :|: i93 < i103 && 0 < a159 && 2 <= i12 && i103 < i93 && i93 - 1 = i119'
main_LE_657(a159, i103, i93, i12) -{3,3}> main_NE_668(a159, i103, i93, i12) :|: i103 <= i93 && 0 < a159 && 2 <= i12
main_Load_643(a159, i103, i93, i12) -{6,6}> main_LE_657(a159, i103, i93, i12) :|: 1 <= i105' && 0 < a159 && 2 <= i12 && i103 + i93 = i105' && 0 < i105'

(49) koat Proof (EQUIVALENT transformation)

YES(?, 36*ar_0 + 46)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 3) main_NE_668(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1, ar_2 - 1, ar_3)) [ 0 < ar_0 /\ 2 <= ar_3 /\ ar_1 < ar_2 /\ ar_2 - 1 = i119' ]
(Comp: ?, Cost: 3) main_LE_657(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1 - 1, ar_2, ar_3)) [ 2 <= ar_3 /\ 0 < ar_0 /\ ar_2 < ar_1 /\ ar_1 - 1 = i108' ]
(Comp: ?, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, i8', i22', i4')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i22' <= o25' /\ 2 <= i4' /\ -2 <= i8' /\ 0 <= i8' /\ -1 <= i8' /\ o25' < ar_0 /\ 0 <= i4' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ 0 <= static'2 /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ 0 <= i22' /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ static'5 <= static'4 + 2 /\ -2 <= i22' /\ 1 <= i4' /\ -1 <= i22' ]
(Comp: ?, Cost: 3) main_NE_668(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1 - 1, ar_1, ar_3)) [ 2 <= ar_3 /\ 0 < ar_0 /\ ar_1 - 1 = i120' /\ ar_2 = ar_1 ]
(Comp: ?, Cost: 3) main_NE_668(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1, ar_2 - 1, ar_3)) [ ar_2 < ar_1 /\ 0 < ar_0 /\ 2 <= ar_3 /\ ar_1 < ar_2 /\ ar_2 - 1 = i119' ]
(Comp: ?, Cost: 3) main_LE_657(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_NE_668(ar_0, ar_1, ar_2, ar_3)) [ ar_1 <= ar_2 /\ 0 < ar_0 /\ 2 <= ar_3 ]
(Comp: ?, Cost: 6) main_Load_643(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_657(ar_0, ar_1, ar_2, ar_3)) [ 1 <= i105' /\ 0 < ar_0 /\ 2 <= ar_3 /\ ar_1 + ar_2 = i105' /\ 0 < i105' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Testing for reachability in the complexity graph removes the following transition from problem 1:
main_NE_668(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1, ar_2 - 1, ar_3)) [ ar_2 < ar_1 /\ 0 < ar_0 /\ 2 <= ar_3 /\ ar_1 < ar_2 /\ ar_2 - 1 = i119' ]
We thus obtain the following problem:
2: T:
(Comp: ?, Cost: 3) main_NE_668(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1 - 1, ar_1, ar_3)) [ 2 <= ar_3 /\ 0 < ar_0 /\ ar_1 - 1 = i120' /\ ar_2 = ar_1 ]
(Comp: ?, Cost: 3) main_NE_668(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1, ar_2 - 1, ar_3)) [ 0 < ar_0 /\ 2 <= ar_3 /\ ar_1 < ar_2 /\ ar_2 - 1 = i119' ]
(Comp: ?, Cost: 3) main_LE_657(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_NE_668(ar_0, ar_1, ar_2, ar_3)) [ ar_1 <= ar_2 /\ 0 < ar_0 /\ 2 <= ar_3 ]
(Comp: ?, Cost: 3) main_LE_657(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1 - 1, ar_2, ar_3)) [ 2 <= ar_3 /\ 0 < ar_0 /\ ar_2 < ar_1 /\ ar_1 - 1 = i108' ]
(Comp: ?, Cost: 6) main_Load_643(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_657(ar_0, ar_1, ar_2, ar_3)) [ 1 <= i105' /\ 0 < ar_0 /\ 2 <= ar_3 /\ ar_1 + ar_2 = i105' /\ 0 < i105' ]
(Comp: ?, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, i8', i22', i4')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i22' <= o25' /\ 2 <= i4' /\ -2 <= i8' /\ 0 <= i8' /\ -1 <= i8' /\ o25' < ar_0 /\ 0 <= i4' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ 0 <= static'2 /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ 0 <= i22' /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ static'5 <= static'4 + 2 /\ -2 <= i22' /\ 1 <= i4' /\ -1 <= i22' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 2 produces the following problem:
3: T:
(Comp: ?, Cost: 3) main_NE_668(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1 - 1, ar_1, ar_3)) [ 2 <= ar_3 /\ 0 < ar_0 /\ ar_1 - 1 = i120' /\ ar_2 = ar_1 ]
(Comp: ?, Cost: 3) main_NE_668(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1, ar_2 - 1, ar_3)) [ 0 < ar_0 /\ 2 <= ar_3 /\ ar_1 < ar_2 /\ ar_2 - 1 = i119' ]
(Comp: ?, Cost: 3) main_LE_657(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_NE_668(ar_0, ar_1, ar_2, ar_3)) [ ar_1 <= ar_2 /\ 0 < ar_0 /\ 2 <= ar_3 ]
(Comp: ?, Cost: 3) main_LE_657(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1 - 1, ar_2, ar_3)) [ 2 <= ar_3 /\ 0 < ar_0 /\ ar_2 < ar_1 /\ ar_1 - 1 = i108' ]
(Comp: ?, Cost: 6) main_Load_643(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_657(ar_0, ar_1, ar_2, ar_3)) [ 1 <= i105' /\ 0 < ar_0 /\ 2 <= ar_3 /\ ar_1 + ar_2 = i105' /\ 0 < i105' ]
(Comp: 1, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, i8', i22', i4')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i22' <= o25' /\ 2 <= i4' /\ -2 <= i8' /\ 0 <= i8' /\ -1 <= i8' /\ o25' < ar_0 /\ 0 <= i4' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ 0 <= static'2 /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ 0 <= i22' /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ static'5 <= static'4 + 2 /\ -2 <= i22' /\ 1 <= i4' /\ -1 <= i22' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_NE_668) = V_2 + V_3 - 1
Pol(main_Load_643) = V_2 + V_3
Pol(main_LE_657) = V_2 + V_3 - 1
Pol(main_Load_1) = 2*V_1
Pol(koat_start) = 2*V_1
orients all transitions weakly and the transition
main_Load_643(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_657(ar_0, ar_1, ar_2, ar_3)) [ 1 <= i105' /\ 0 < ar_0 /\ 2 <= ar_3 /\ ar_1 + ar_2 = i105' /\ 0 < i105' ]
strictly and produces the following problem:
4: T:
(Comp: ?, Cost: 3) main_NE_668(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1 - 1, ar_1, ar_3)) [ 2 <= ar_3 /\ 0 < ar_0 /\ ar_1 - 1 = i120' /\ ar_2 = ar_1 ]
(Comp: ?, Cost: 3) main_NE_668(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1, ar_2 - 1, ar_3)) [ 0 < ar_0 /\ 2 <= ar_3 /\ ar_1 < ar_2 /\ ar_2 - 1 = i119' ]
(Comp: ?, Cost: 3) main_LE_657(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_NE_668(ar_0, ar_1, ar_2, ar_3)) [ ar_1 <= ar_2 /\ 0 < ar_0 /\ 2 <= ar_3 ]
(Comp: ?, Cost: 3) main_LE_657(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1 - 1, ar_2, ar_3)) [ 2 <= ar_3 /\ 0 < ar_0 /\ ar_2 < ar_1 /\ ar_1 - 1 = i108' ]
(Comp: 2*ar_0, Cost: 6) main_Load_643(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_657(ar_0, ar_1, ar_2, ar_3)) [ 1 <= i105' /\ 0 < ar_0 /\ 2 <= ar_3 /\ ar_1 + ar_2 = i105' /\ 0 < i105' ]
(Comp: 1, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, i8', i22', i4')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i22' <= o25' /\ 2 <= i4' /\ -2 <= i8' /\ 0 <= i8' /\ -1 <= i8' /\ o25' < ar_0 /\ 0 <= i4' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ 0 <= static'2 /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ 0 <= i22' /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ static'5 <= static'4 + 2 /\ -2 <= i22' /\ 1 <= i4' /\ -1 <= i22' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 4 produces the following problem:
5: T:
(Comp: 2*ar_0, Cost: 3) main_NE_668(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1 - 1, ar_1, ar_3)) [ 2 <= ar_3 /\ 0 < ar_0 /\ ar_1 - 1 = i120' /\ ar_2 = ar_1 ]
(Comp: 2*ar_0, Cost: 3) main_NE_668(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1, ar_2 - 1, ar_3)) [ 0 < ar_0 /\ 2 <= ar_3 /\ ar_1 < ar_2 /\ ar_2 - 1 = i119' ]
(Comp: 2*ar_0, Cost: 3) main_LE_657(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_NE_668(ar_0, ar_1, ar_2, ar_3)) [ ar_1 <= ar_2 /\ 0 < ar_0 /\ 2 <= ar_3 ]
(Comp: 2*ar_0, Cost: 3) main_LE_657(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, ar_1 - 1, ar_2, ar_3)) [ 2 <= ar_3 /\ 0 < ar_0 /\ ar_2 < ar_1 /\ ar_1 - 1 = i108' ]
(Comp: 2*ar_0, Cost: 6) main_Load_643(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_657(ar_0, ar_1, ar_2, ar_3)) [ 1 <= i105' /\ 0 < ar_0 /\ 2 <= ar_3 /\ ar_1 + ar_2 = i105' /\ 0 < i105' ]
(Comp: 1, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_643(ar_0, i8', i22', i4')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i22' <= o25' /\ 2 <= i4' /\ -2 <= i8' /\ 0 <= i8' /\ -1 <= i8' /\ o25' < ar_0 /\ 0 <= i4' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ 0 <= static'2 /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ 0 <= i22' /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ static'5 <= static'4 + 2 /\ -2 <= i22' /\ 1 <= i4' /\ -1 <= i22' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 36*ar_0 + 46

Time: 0.238 sec (SMT: 0.206 sec)

(0) Obligation:

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

(2) Obligation:

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(92)) transformation)

(4) Obligation:

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

(6) Obligation:

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

(8) Obligation:

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

(10) Obligation:

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

(12) Obligation:

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

(14) Obligation:

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

(16) Obligation:

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

(18) Obligation:

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

(20) Obligation:

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

(22) Obligation:

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

(24) Obligation:

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

(26) Obligation:

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

(28) Obligation:

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

(30) Obligation:

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

(32) Obligation:

(33) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(92)) transformation)

(34) Obligation:

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

(36) Obligation:

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

(38) Obligation:

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

(40) Obligation:

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

(42) Obligation:

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

(44) Obligation:

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

(46) Obligation:

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

(48) Obligation:

(49) koat Proof (EQUIVALENT transformation)

(50) BOUNDS(CONSTANT, 46 + 36 * |args|)