(0) Obligation:
Need to prove time_complexity of the following program:
public class IntRTA {
// only wrap a primitive int
private int val;
// count up to the value
// in "limit"
public static void count(
IntRTA orig, IntRTA limit) {
if (orig == null
|| limit == null) {
return;
}
// introduce sharing
IntRTA copy = orig;
while (orig.val < limit.val) {
copy.val++;
}
}
public static void main(String[] args) {
Random.args = args;
IntRTA x = new IntRTA();
x.val = Random.random();
IntRTA y = new IntRTA();
y.val = Random.random();
count(x, y);
}
}
public class Random {
static String[] args;
static int index = 0;
public static int random() {
String string = args[index];
index++;
return string.length();
}
}
(1) JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Constructed TerminationGraph.
(2) Obligation:
Termination Graph based on JBC Program:
IntRTA.main([Ljava/lang/String;)V: Graph of 200 nodes with 1 SCC.
(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(93)) transformation)
Extracted set of 105 edges for the analysis of TIME complexity. Kept leaves.
(4) Obligation:
Set of 105 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 105 jbc graph edges to a weighted ITS with 105 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.
(6) Obligation:
IntTrs with 105 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_18(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_18(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_20(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_20(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_23(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_23(o2, env, static) -{0,0}> langle_clinit_rangle_New_25(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_25(o2, env, static) -{0,0}> langle_clinit_rangle_New_26(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_26(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_29(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_29(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_31(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_32(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_32(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_33(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_33(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_35(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_37(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_40(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_40(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_43(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_43(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_45(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_45(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_47(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_47(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_49(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_49(o2, env, static) -{1,1}> main_Load_55(o2, env, static) :|: 0 < o2
main_Load_55(o2, env, static) -{0,0}> main_Load_56(o2, env, static) :|: 0 < o2
main_Load_56(o2, env, static) -{0,0}> main_Load_59(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_59(o2, env, static) -{0,0}> main_Load_61(o2, env, static) :|: 0 < o2
main_Load_61(o2, env, static) -{0,0}> main_Load_63(o2, env, static) :|: 0 < o2
main_Load_63(o2, env, static) -{1,1}> main_FieldAccess_65(o2, env, static) :|: 0 < o2
main_FieldAccess_65(o2, env, static) -{0,0}> main_FieldAccess_67(o2, env, static) :|: 0 < o2
main_FieldAccess_67(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_68(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_68(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_70(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_70(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_71(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_71(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_72(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_72(o2, NULL, iconst_0, env, static) -{1,1}> main_New_73(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_New_73(o2, iconst_0, env, static) -{1,1}> main_Duplicate_74(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0 && o6 = 1
main_Duplicate_74(o2, o6, iconst_0, env, static) -{1,1}> main_InvokeMethod_75(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
main_InvokeMethod_75(o2, o6, iconst_0, env, static) -{1,1}> langle_init_rangle_Load_76(o6, o2, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
langle_init_rangle_Load_76(o6, o2, iconst_0, env, static) -{1,1}> langle_init_rangle_InvokeMethod_78(o6, o2, iconst_0, env, static) :|: 0 < o6 && 0 < o2 && iconst_0 = 0
langle_init_rangle_InvokeMethod_78(o6, o2, iconst_0, env, static) -{1,1}> langle_init_rangle_Return_79(o2, o6, iconst_0, env, static) :|: 0 < o6 && 0 < o2 && iconst_0 = 0
langle_init_rangle_Return_79(o2, o6, iconst_0, env, static) -{1,1}> main_Store_80(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
main_Store_80(o2, o6, iconst_0, env, static) -{1,1}> main_Load_81(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
main_Load_81(o2, o6, iconst_0, env, static) -{1,1}> main_InvokeMethod_84(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
main_InvokeMethod_84(o2, o6, iconst_0, env, static) -{1,1}> random_FieldAccess_85(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
random_FieldAccess_85(o2, o6, iconst_0, env, static) -{1,1}> random_FieldAccess_87(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_87(o2, o6, iconst_0, env, static) -{1,1}> random_ArrayAccess_88(o2, iconst_0, o6, env, static) :|: 0 < o2 && 0 < o6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_88(a6, iconst_0, o6, env, static) -{0,0}> random_ArrayAccess_89(a6, iconst_0, o6, i5, env, static) :|: 0 < o6 && i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_89(a6, iconst_0, o6, iconst_0, env, static) -{0,0}> random_ArrayAccess_90(a6, iconst_0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_89(a6, iconst_0, o6, i6, env, static) -{0,0}> random_ArrayAccess_91(a6, iconst_0, o6, i6, env, static) :|: 0 <= i6 && 1 <= i6 && 0 < o6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_91(a6, iconst_0, o6, i6, env, static) -{1,1}> random_Store_93(o10, a6, o6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_0 = 0 && 0 < a6 && o10 < a6
random_Store_93(o10, a6, o6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_94(o10, a6, o6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_0 = 0 && 0 < a6
random_FieldAccess_94(o10, a6, o6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_102(iconst_0, o10, a6, o6, i6, env, static) :|: 1 <= i6 && 0 < o6 && -1 * static <= iconst_0 && 0 <= o10 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_102(iconst_0, o10, a6, o6, i6, env, static) -{1,1}> random_IntArithmetic_109(iconst_0, iconst_1, o10, a6, o6, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_109(iconst_0, iconst_1, o10, a6, o6, i6, env, static) -{1,1}> random_FieldAccess_112(iconst_1, o10, a6, o6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_112(iconst_1, o10, a6, o6, iconst_0, i6, env, static) -{1,1}> random_Load_120(o10, a6, o6, iconst_1, i6, iconst_0, env, static') :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_120(o10, a6, o6, iconst_1, i6, iconst_0, env, static) -{1,1}> random_InvokeMethod_122(o10, a6, o6, iconst_1, i6, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_InvokeMethod_122(o15, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_123(o15, a6, o6, iconst_1, i6, iconst_0, env, static) :|: 0 <= o15 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o15 && 0 < a6
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
random_InvokeMethod_123(o15, a6, o6, iconst_1, i6, iconst_0, env, static) -{1,1}> random_Return_126(i8, a6, o6, iconst_1, i6, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && i8 <= o15 && 0 < o15 && 0 < a6 && 0 <= i8
random_Return_126(i8, a6, o6, iconst_1, i6, iconst_0, env, static) -{1,1}> main_FieldAccess_132(a6, o6, i8, iconst_1, i6, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
main_FieldAccess_132(a6, o6, i8, iconst_1, i6, iconst_0, env, static) -{1,1}> main_New_134(a6, o6', iconst_1, i6, i8, env, static) :|: 1 <= i6 && 0 < o6 && o6' <= o6 + i8 && iconst_1 = 1 && iconst_0 = 0 && 0 < o6' && 0 < a6 && 0 <= i8 && o6 <= o6'
main_New_134(a6, o6, iconst_1, i6, i8, env, static) -{1,1}> main_Duplicate_138(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: o18 = 1 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_Duplicate_138(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> main_InvokeMethod_145(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_InvokeMethod_145(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> langle_init_rangle_Load_148(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
langle_init_rangle_Load_148(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) -{1,1}> langle_init_rangle_InvokeMethod_160(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
langle_init_rangle_InvokeMethod_160(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) -{1,1}> langle_init_rangle_Return_163(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
langle_init_rangle_Return_163(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> main_Store_168(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_Store_168(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> main_Load_179(a6, o6, o18, iconst_1, i6, i8, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_Load_179(a6, o6, o18, iconst_1, i6, i8, iconst_0, env, static) -{1,1}> main_InvokeMethod_186(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_InvokeMethod_186(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_191(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_FieldAccess_191(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_205(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 0 <= a6 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && a6 <= static && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_205(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> random_ArrayAccess_214(a6, iconst_1, o18, o6, i6, iconst_0, i8, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && 0 < o6 && iconst_1 <= static && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_214(a6, iconst_1, o18, o6, iconst_1, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, iconst_1, o18, o6, iconst_0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_ArrayAccess_214(a6, iconst_1, o18, o6, i13, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_222(a6, iconst_1, o18, o6, i13, iconst_0, i8, env, static) :|: 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 1 <= i13 && 0 <= i8
random_ArrayAccess_222(a6, iconst_1, o18, o6, i13, iconst_0, i8, env, static) -{1,1}> random_Store_275(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && o43 < a6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_Store_275(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_282(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_FieldAccess_282(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) -{1,1}> random_ConstantStackPush_288(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) :|: 0 <= o43 && -1 * static <= iconst_1 && 0 < o6 && iconst_1 <= static && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8
random_ConstantStackPush_288(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) -{1,1}> random_IntArithmetic_292(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_IntArithmetic_292(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_294(iconst_2, o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_294(iconst_2, o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) -{1,1}> random_Load_297(o43, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static') :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_297(o43, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> random_InvokeMethod_300(o43, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_300(o83, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_302(o83, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 < o6 && 0 < o83 && 2 <= i13 && iconst_0 = 0 && 0 <= o83 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_302(o83, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> random_Return_306(i42, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 < o6 && 0 < o83 && i42 <= o83 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
random_Return_306(i42, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> main_FieldAccess_310(a6, o18, i42, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
main_FieldAccess_310(a6, o18, i42, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> main_Load_312(a6, o6, o18', iconst_2, i13, i8, i42, env, static) :|: 0 < o6 && o18' <= o18 + i42 && 0 < o18' && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2 && o18 <= o18'
main_Load_312(a6, o6, o18, iconst_2, i13, i8, i42, env, static) -{1,1}> main_Load_314(a6, o6, o18, iconst_2, i13, i8, i42, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
main_Load_314(a6, o6, o18, iconst_2, i13, i8, i42, env, static) -{1,1}> main_InvokeMethod_317(a6, o6, o18, iconst_2, i13, i8, i42, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
main_InvokeMethod_317(a6, o6, o18, iconst_2, i13, i8, i42, env, static) -{1,1}> count_Load_319(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_319(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_NULL_323(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_NULL_323(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_326(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_326(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_NONNULL_328(o18, o6, a6, iconst_2, i42, i8, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_NONNULL_328(o18, o6, a6, iconst_2, i42, i8, i13, env, static) -{1,1}> count_Load_331(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_331(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Store_334(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Store_334(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_336(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_336(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_FieldAccess_339(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_FieldAccess_339(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_342(i8, o6, o18, a6, iconst_2, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_342(i8, o6, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_FieldAccess_345(i8, o18, o6, a6, iconst_2, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_FieldAccess_345(i8, o18, o6, a6, iconst_2, i42, i13, env, static) -{1,1}> count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_354(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && i8 < i42 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
count_GE_354(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{1,1}> count_Load_375(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && i8 < i42 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
count_Load_375(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Duplicate_392(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_Duplicate_392(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_FieldAccess_397(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_FieldAccess_397(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_ConstantStackPush_404(o6, i8, o18, a6, iconst_2, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_ConstantStackPush_404(o6, i8, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_IntArithmetic_408(o6, i8, iconst_1, o18, a6, iconst_2, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_IntArithmetic_408(o6, i8, iconst_1, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_FieldAccess_414(o6, i49, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && i8 + iconst_1 = i49 && iconst_1 = 1 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 1 <= i49
count_FieldAccess_414(o6, i49, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_JMP_418(o6', o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o6' && 0 < o18 && 0 < a6 && 0 <= i8 && o6 < o6' && iconst_2 = 2 && o6' <= o6 + i49 && 1 <= i49
count_JMP_418(o6, o18, a6, iconst_2, i49, i42, i13, env, static) -{1,1}> count_Load_422(o6, o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && iconst_2 = 2 && 1 <= i49
count_Load_422(o6, o18, a6, iconst_2, i49, i42, i13, env, static) -{0,0}> count_Load_336(o6, o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 0 <= i49 && 2 <= i13 && 0 < o18 && 0 < a6 && iconst_2 = 2 && 0 <= i42 && 1 <= i49
(7) StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
obtained
main_Load_1(
o2,
env,
static) -{31,31}>
random_ArrayAccess_89(
o2,
0,
1,
i5',
env,
static'3) :|:
static'3 <=
static'2 +
o2 &&
0 <=
i5' &&
static'2 <=
static'1 +
0 &&
0 <
o2 &&
0 <=
2 &&
0 <=
o2 &&
0 <
1 &&
i5' <
o2 &&
0 <=
static'2 &&
o2 <=
static'3 &&
static'1 <=
static''' +
1 &&
0 <=
static'1 &&
static''' <=
static +
2 &&
-1 *
static'3 <=
0 &&
0 <=
static''' &&
0 <=
static &&
0 <=
1 &&
0 <
2 &&
0 <=
static'3by chaining
main_Load_1(
o2,
env,
static) -{0,0}>
main_Load_3(
o2,
env,
static) :|:
0 <
o2main_Load_3(
o2,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_5(
o2,
env,
static) :|:
0 <
o2langle_clinit_rangle_ConstantStackPush_5(
o2,
env,
static) -{1,1}>
langle_clinit_rangle_ArrayCreate_18(
iconst_0,
o2,
env,
static) :|:
0 <
o2 &&
iconst_0 =
0langle_clinit_rangle_ArrayCreate_18(
iconst_0,
o2,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_20(
a2,
o2,
iconst_0,
env,
static) :|:
a2 =
2 &&
0 <
o2 &&
iconst_0 =
0 &&
0 <
a2langle_clinit_rangle_FieldAccess_20(
a2,
o2,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_New_23(
o2,
env,
static') :|:
0 <=
a2 &&
0 <
o2 &&
iconst_0 =
0 &&
static' <=
static +
a2 &&
0 <=
static &&
0 <
a2langle_clinit_rangle_New_23(
o2,
env,
static) -{0,0}>
langle_clinit_rangle_New_25(
o2,
env,
static) :|:
0 <
o2langle_clinit_rangle_New_25(
o2,
env,
static) -{0,0}>
langle_clinit_rangle_New_26(
o2,
env,
static) :|:
0 <
o2 &&
0 <=
staticlangle_clinit_rangle_New_26(
o2,
env,
static) -{1,1}>
langle_clinit_rangle_Duplicate_29(
o4,
o2,
env,
static) :|:
o4 =
1 &&
0 <
o2 &&
0 <
o4langle_clinit_rangle_Duplicate_29(
o4,
o2,
env,
static) -{1,1}>
langle_clinit_rangle_ConstantStackPush_31(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_clinit_rangle_ConstantStackPush_31(
o4,
o2,
env,
static) -{1,1}>
langle_clinit_rangle_InvokeMethod_32(
o4,
NULL,
o2,
env,
static) :|:
NULL =
0 &&
0 <
o2 &&
0 <
o4langle_clinit_rangle_InvokeMethod_32(
o4,
NULL,
o2,
env,
static) -{1,1}>
langle_init_rangle_Load_33(
o4,
o2,
env,
static) :|:
NULL =
0 &&
0 <
o2 &&
0 <
o4langle_init_rangle_Load_33(
o4,
o2,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_35(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_init_rangle_InvokeMethod_35(
o4,
o2,
env,
static) -{1,1}>
langle_init_rangle_Load_37(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_init_rangle_Load_37(
o4,
o2,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_40(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_init_rangle_InvokeMethod_40(
o4,
o2,
env,
static) -{1,1}>
langle_init_rangle_Return_43(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_init_rangle_Return_43(
o4,
o2,
env,
static) -{1,1}>
langle_init_rangle_Return_45(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_init_rangle_Return_45(
o4,
o2,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_47(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_clinit_rangle_FieldAccess_47(
o4,
o2,
env,
static) -{1,1}>
langle_clinit_rangle_Return_49(
o2,
env,
static') :|:
0 <
o2 &&
0 <=
o4 &&
0 <
o4 &&
0 <=
static &&
static' <=
static +
o4langle_clinit_rangle_Return_49(
o2,
env,
static) -{1,1}>
main_Load_55(
o2,
env,
static) :|:
0 <
o2main_Load_55(
o2,
env,
static) -{0,0}>
main_Load_56(
o2,
env,
static) :|:
0 <
o2main_Load_56(
o2,
env,
static) -{0,0}>
main_Load_59(
o2,
env,
static) :|:
0 <
o2 &&
0 <=
staticmain_Load_59(
o2,
env,
static) -{0,0}>
main_Load_61(
o2,
env,
static) :|:
0 <
o2main_Load_61(
o2,
env,
static) -{0,0}>
main_Load_63(
o2,
env,
static) :|:
0 <
o2main_Load_63(
o2,
env,
static) -{1,1}>
main_FieldAccess_65(
o2,
env,
static) :|:
0 <
o2main_FieldAccess_65(
o2,
env,
static) -{0,0}>
main_FieldAccess_67(
o2,
env,
static) :|:
0 <
o2main_FieldAccess_67(
o2,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_68(
o2,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
0 <
o2 &&
iconst_0 =
0langle_clinit_rangle_ConstantStackPush_68(
o2,
NULL,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_70(
iconst_0,
o2,
NULL,
env,
static) :|:
NULL =
0 &&
0 <
o2 &&
iconst_0 =
0langle_clinit_rangle_FieldAccess_70(
iconst_0,
o2,
NULL,
env,
static) -{1,1}>
langle_clinit_rangle_Return_71(
o2,
NULL,
iconst_0,
env,
static') :|:
NULL =
0 &&
0 <
o2 &&
iconst_0 =
0 &&
0 <=
static &&
static' <=
static +
iconst_0langle_clinit_rangle_Return_71(
o2,
NULL,
iconst_0,
env,
static) -{1,1}>
main_FieldAccess_72(
o2,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
0 <
o2 &&
iconst_0 =
0main_FieldAccess_72(
o2,
NULL,
iconst_0,
env,
static) -{1,1}>
main_New_73(
o2,
iconst_0,
env,
static') :|:
NULL =
0 &&
0 <
o2 &&
0 <=
o2 &&
iconst_0 =
0 &&
0 <=
static &&
static' <=
static +
o2main_New_73(
o2,
iconst_0,
env,
static) -{1,1}>
main_Duplicate_74(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0 &&
o6 =
1main_Duplicate_74(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
main_InvokeMethod_75(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0main_InvokeMethod_75(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
langle_init_rangle_Load_76(
o6,
o2,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0langle_init_rangle_Load_76(
o6,
o2,
iconst_0,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_78(
o6,
o2,
iconst_0,
env,
static) :|:
0 <
o6 &&
0 <
o2 &&
iconst_0 =
0langle_init_rangle_InvokeMethod_78(
o6,
o2,
iconst_0,
env,
static) -{1,1}>
langle_init_rangle_Return_79(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o6 &&
0 <
o2 &&
iconst_0 =
0langle_init_rangle_Return_79(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
main_Store_80(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0main_Store_80(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
main_Load_81(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0main_Load_81(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
main_InvokeMethod_84(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0main_InvokeMethod_84(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_85(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0random_FieldAccess_85(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_87(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
o2 <=
static &&
0 <=
o2 &&
iconst_0 =
0 &&
0 <=
staticrandom_FieldAccess_87(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
random_ArrayAccess_88(
o2,
iconst_0,
o6,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
-1 *
static <=
iconst_0 &&
iconst_0 =
0 &&
0 <=
static &&
iconst_0 <=
staticrandom_ArrayAccess_88(
a6,
iconst_0,
o6,
env,
static) -{0,0}>
random_ArrayAccess_89(
a6,
iconst_0,
o6,
i5,
env,
static) :|:
0 <
o6 &&
i5 <
a6 &&
iconst_0 =
0 &&
0 <
a6 &&
0 <=
i5obtained
random_ArrayAccess_89(a6, 0, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_89(a6, iconst_0, o6, i6, env, static) -{0,0}> random_ArrayAccess_91(a6, iconst_0, o6, i6, env, static) :|: 0 <= i6 && 1 <= i6 && 0 < o6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_91(a6, iconst_0, o6, i6, env, static) -{1,1}> random_Store_93(o10, a6, o6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_0 = 0 && 0 < a6 && o10 < a6
random_Store_93(o10, a6, o6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_94(o10, a6, o6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_0 = 0 && 0 < a6
random_FieldAccess_94(o10, a6, o6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_102(iconst_0, o10, a6, o6, i6, env, static) :|: 1 <= i6 && 0 < o6 && -1 * static <= iconst_0 && 0 <= o10 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_102(iconst_0, o10, a6, o6, i6, env, static) -{1,1}> random_IntArithmetic_109(iconst_0, iconst_1, o10, a6, o6, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_109(iconst_0, iconst_1, o10, a6, o6, i6, env, static) -{1,1}> random_FieldAccess_112(iconst_1, o10, a6, o6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_112(iconst_1, o10, a6, o6, iconst_0, i6, env, static) -{1,1}> random_Load_120(o10, a6, o6, iconst_1, i6, iconst_0, env, static') :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_120(o10, a6, o6, iconst_1, i6, iconst_0, env, static) -{1,1}> random_InvokeMethod_122(o10, a6, o6, iconst_1, i6, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
obtained
random_InvokeMethod_122(o15, a6, o6, 1, i6, 0, env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6'''
by chaining
random_InvokeMethod_122(o15, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_123(o15, a6, o6, iconst_1, i6, iconst_0, env, static) :|: 0 <= o15 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o15 && 0 < a6
random_InvokeMethod_123(o15, a6, o6, iconst_1, i6, iconst_0, env, static) -{1,1}> random_Return_126(i8, a6, o6, iconst_1, i6, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && i8 <= o15 && 0 < o15 && 0 < a6 && 0 <= i8
random_Return_126(i8, a6, o6, iconst_1, i6, iconst_0, env, static) -{1,1}> main_FieldAccess_132(a6, o6, i8, iconst_1, i6, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
main_FieldAccess_132(a6, o6, i8, iconst_1, i6, iconst_0, env, static) -{1,1}> main_New_134(a6, o6', iconst_1, i6, i8, env, static) :|: 1 <= i6 && 0 < o6 && o6' <= o6 + i8 && iconst_1 = 1 && iconst_0 = 0 && 0 < o6' && 0 < a6 && 0 <= i8 && o6 <= o6'
main_New_134(a6, o6, iconst_1, i6, i8, env, static) -{1,1}> main_Duplicate_138(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: o18 = 1 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_Duplicate_138(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> main_InvokeMethod_145(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_InvokeMethod_145(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> langle_init_rangle_Load_148(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
langle_init_rangle_Load_148(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) -{1,1}> langle_init_rangle_InvokeMethod_160(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
langle_init_rangle_InvokeMethod_160(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) -{1,1}> langle_init_rangle_Return_163(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
langle_init_rangle_Return_163(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> main_Store_168(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_Store_168(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> main_Load_179(a6, o6, o18, iconst_1, i6, i8, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_Load_179(a6, o6, o18, iconst_1, i6, i8, iconst_0, env, static) -{1,1}> main_InvokeMethod_186(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_InvokeMethod_186(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_191(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_FieldAccess_191(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_205(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 0 <= a6 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && a6 <= static && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_205(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> random_ArrayAccess_214(a6, iconst_1, o18, o6, i6, iconst_0, i8, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && 0 < o6 && iconst_1 <= static && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8
obtained
random_ArrayAccess_214(a6, 1, o18, o6, i13, 0, i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_214(a6, iconst_1, o18, o6, i13, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_222(a6, iconst_1, o18, o6, i13, iconst_0, i8, env, static) :|: 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 1 <= i13 && 0 <= i8
random_ArrayAccess_222(a6, iconst_1, o18, o6, i13, iconst_0, i8, env, static) -{1,1}> random_Store_275(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && o43 < a6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_Store_275(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_282(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_FieldAccess_282(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) -{1,1}> random_ConstantStackPush_288(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) :|: 0 <= o43 && -1 * static <= iconst_1 && 0 < o6 && iconst_1 <= static && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8
random_ConstantStackPush_288(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) -{1,1}> random_IntArithmetic_292(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_IntArithmetic_292(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_294(iconst_2, o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_294(iconst_2, o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) -{1,1}> random_Load_297(o43, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static') :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_297(o43, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> random_InvokeMethod_300(o43, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
obtained
random_InvokeMethod_300(o83, a6, o18, o6, 2, i13, 0, i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18'''
by chaining
random_InvokeMethod_300(o83, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_302(o83, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 < o6 && 0 < o83 && 2 <= i13 && iconst_0 = 0 && 0 <= o83 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_302(o83, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> random_Return_306(i42, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 < o6 && 0 < o83 && i42 <= o83 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
random_Return_306(i42, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> main_FieldAccess_310(a6, o18, i42, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
main_FieldAccess_310(a6, o18, i42, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> main_Load_312(a6, o6, o18', iconst_2, i13, i8, i42, env, static) :|: 0 < o6 && o18' <= o18 + i42 && 0 < o18' && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2 && o18 <= o18'
main_Load_312(a6, o6, o18, iconst_2, i13, i8, i42, env, static) -{1,1}> main_Load_314(a6, o6, o18, iconst_2, i13, i8, i42, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
main_Load_314(a6, o6, o18, iconst_2, i13, i8, i42, env, static) -{1,1}> main_InvokeMethod_317(a6, o6, o18, iconst_2, i13, i8, i42, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
main_InvokeMethod_317(a6, o6, o18, iconst_2, i13, i8, i42, env, static) -{1,1}> count_Load_319(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_319(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_NULL_323(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_NULL_323(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_326(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_326(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_NONNULL_328(o18, o6, a6, iconst_2, i42, i8, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_NONNULL_328(o18, o6, a6, iconst_2, i42, i8, i13, env, static) -{1,1}> count_Load_331(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_331(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Store_334(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Store_334(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_336(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
obtained
count_Load_336(o6, o18, a6, 2, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13
by chaining
count_Load_336(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_FieldAccess_339(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_FieldAccess_339(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_342(i8, o6, o18, a6, iconst_2, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_342(i8, o6, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_FieldAccess_345(i8, o18, o6, a6, iconst_2, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_FieldAccess_345(i8, o18, o6, a6, iconst_2, i42, i13, env, static) -{1,1}> count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
obtained
count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1
by chaining
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_354(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && i8 < i42 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
count_GE_354(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{1,1}> count_Load_375(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && i8 < i42 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
count_Load_375(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Duplicate_392(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_Duplicate_392(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_FieldAccess_397(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_FieldAccess_397(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_ConstantStackPush_404(o6, i8, o18, a6, iconst_2, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_ConstantStackPush_404(o6, i8, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_IntArithmetic_408(o6, i8, iconst_1, o18, a6, iconst_2, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_IntArithmetic_408(o6, i8, iconst_1, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_FieldAccess_414(o6, i49, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && i8 + iconst_1 = i49 && iconst_1 = 1 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 1 <= i49
count_FieldAccess_414(o6, i49, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_JMP_418(o6', o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o6' && 0 < o18 && 0 < a6 && 0 <= i8 && o6 < o6' && iconst_2 = 2 && o6' <= o6 + i49 && 1 <= i49
count_JMP_418(o6, o18, a6, iconst_2, i49, i42, i13, env, static) -{1,1}> count_Load_422(o6, o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && iconst_2 = 2 && 1 <= i49
count_Load_422(o6, o18, a6, iconst_2, i49, i42, i13, env, static) -{0,0}> count_Load_336(o6, o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 0 <= i49 && 2 <= i13 && 0 < o18 && 0 < a6 && iconst_2 = 2 && 0 <= i42 && 1 <= i49
(8) Obligation:
IntTrs with 12 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{31,31}> random_ArrayAccess_89(o2, 0, 1, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= o2 && 0 < 1 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static && 0 <= 1 && 0 < 2 && 0 <= static'3
random_ArrayAccess_89(a6, iconst_0, o6, iconst_0, env, static) -{0,0}> random_ArrayAccess_90(a6, iconst_0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_89(a6, 0, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
random_InvokeMethod_122(o15, a6, o6, 1, i6, 0, env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6'''
random_ArrayAccess_214(a6, iconst_1, o18, o6, iconst_1, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, iconst_1, o18, o6, iconst_0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_ArrayAccess_214(a6, 1, o18, o6, i13, 0, i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_300(o83, a6, o18, o6, 2, i13, 0, i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18'''
count_Load_336(o6, o18, a6, 2, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1
(9) MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Moved arithmethic from lhss to constraints.
random_ArrayAccess_89(a6, 0, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_89(a6, x, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
count_Load_336(o6, o18, a6, 2, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13
was transformed to
count_Load_336(o6, o18, a6, x, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13 && x = 2
random_InvokeMethod_300(o83, a6, o18, o6, 2, i13, 0, i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18'''
was transformed to
random_InvokeMethod_300(o83, a6, o18, o6, x, i13, x', i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18''' && x = 2 && x' = 0
random_ArrayAccess_214(a6, 1, o18, o6, i13, 0, i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_214(a6, x, o18, o6, i13, x', i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1 && x' = 0
random_InvokeMethod_122(o15, a6, o6, 1, i6, 0, env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6'''
was transformed to
random_InvokeMethod_122(o15, a6, o6, x, i6, x', env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6''' && x = 1 && x' = 0
count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1
was transformed to
count_GE_348(i8, i42, o6, o18, a6, x, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1 && x = 2
(10) Obligation:
IntTrs with 12 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_89(a6, x, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
count_Load_336(o6, o18, a6, x, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13 && x = 2
random_InvokeMethod_300(o83, a6, o18, o6, x, i13, x', i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18''' && x = 2 && x' = 0
random_ArrayAccess_214(a6, x, o18, o6, i13, x', i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1 && x' = 0
random_ArrayAccess_214(a6, iconst_1, o18, o6, iconst_1, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, iconst_1, o18, o6, iconst_0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
random_ArrayAccess_89(a6, iconst_0, o6, iconst_0, env, static) -{0,0}> random_ArrayAccess_90(a6, iconst_0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6
random_InvokeMethod_122(o15, a6, o6, x, i6, x', env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6''' && x = 1 && x' = 0
main_Load_1(o2, env, static) -{31,31}> random_ArrayAccess_89(o2, 0, 1, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= o2 && 0 < 1 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static && 0 <= 1 && 0 < 2 && 0 <= static'3
count_GE_348(i8, i42, o6, o18, a6, x, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1 && x = 2
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
(11) LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Linearized lhss.
random_ArrayAccess_214(a6, iconst_1, o18, o6, iconst_1, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, iconst_1, o18, o6, iconst_0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
was transformed to
random_ArrayAccess_214(a6, iconst_1, o18, o6, x, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, iconst_1, o18, o6, iconst_0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_89(a6, iconst_0, o6, iconst_0, env, static) -{0,0}> random_ArrayAccess_90(a6, iconst_0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_89(a6, iconst_0, o6, x, env, static) -{0,0}> random_ArrayAccess_90(a6, iconst_0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6 && x = iconst_0
(12) Obligation:
IntTrs with 12 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
count_GE_348(i8, i42, o6, o18, a6, x, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1 && x = 2
random_ArrayAccess_89(a6, x, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_122(o15, a6, o6, x, i6, x', env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6''' && x = 1 && x' = 0
random_ArrayAccess_214(a6, iconst_1, o18, o6, x, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, iconst_1, o18, o6, iconst_0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_300(o83, a6, o18, o6, x, i13, x', i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18''' && x = 2 && x' = 0
count_Load_336(o6, o18, a6, x, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13 && x = 2
random_ArrayAccess_89(a6, iconst_0, o6, x, env, static) -{0,0}> random_ArrayAccess_90(a6, iconst_0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
main_Load_1(o2, env, static) -{31,31}> random_ArrayAccess_89(o2, 0, 1, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= o2 && 0 < 1 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static && 0 <= 1 && 0 < 2 && 0 <= static'3
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_214(a6, x, o18, o6, i13, x', i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1 && x' = 0
(13) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Moved arithmethic from constraints to rhss.
count_GE_348(i8, i42, o6, o18, a6, x, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1 && x = 2
was transformed to
count_GE_348(i8, i42, o6, o18, a6, x, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i8 + 1, i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1 && x = 2
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
was transformed to
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(0, a6, o6, 1, i6, 0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
random_ArrayAccess_214(a6, iconst_1, o18, o6, x, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, iconst_1, o18, o6, iconst_0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && x = iconst_1
was transformed to
random_ArrayAccess_214(a6, iconst_1, o18, o6, x, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, 1, o18, o6, 0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(0, a6, o18, o6, 2, i13, 0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_89(a6, iconst_0, o6, x, env, static) -{0,0}> random_ArrayAccess_90(a6, iconst_0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_89(a6, iconst_0, o6, x, env, static) -{0,0}> random_ArrayAccess_90(a6, 0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6 && x = iconst_0
(14) Obligation:
IntTrs with 12 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
count_GE_348(i8, i42, o6, o18, a6, x, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i8 + 1, i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1 && x = 2
random_ArrayAccess_89(a6, x, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
count_Load_336(o6, o18, a6, x, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13 && x = 2
random_InvokeMethod_300(o83, a6, o18, o6, x, i13, x', i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18''' && x = 2 && x' = 0
random_InvokeMethod_122(o15, a6, o6, x, i6, x', env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6''' && x = 1 && x' = 0
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(0, a6, o6, 1, i6, 0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
main_Load_1(o2, env, static) -{31,31}> random_ArrayAccess_89(o2, 0, 1, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= o2 && 0 < 1 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static && 0 <= 1 && 0 < 2 && 0 <= static'3
random_ArrayAccess_214(a6, iconst_1, o18, o6, x, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, 1, o18, o6, 0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_214(a6, x, o18, o6, i13, x', i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1 && x' = 0
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(0, a6, o18, o6, 2, i13, 0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_89(a6, iconst_0, o6, x, env, static) -{0,0}> random_ArrayAccess_90(a6, 0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6 && x = iconst_0
(15) ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Simplified expressions.
random_InvokeMethod_122(o15, a6, o6, x, i6, x', env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6''' && x = 1 && x' = 0
was transformed to
random_InvokeMethod_122(o15, a6, o6, x, i6, x', env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 < a6 && 0 <= static && 1 <= i6 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6''' && x = 1 && x' = 0
random_InvokeMethod_300(o83, a6, o18, o6, x, i13, x', i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18''' && x = 2 && x' = 0
was transformed to
random_InvokeMethod_300(o83, a6, o18, o6, x, i13, x', i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 < o18 && o18 <= o18''' && x = 2 && x' = 0
main_Load_1(o2, env, static) -{31,31}> random_ArrayAccess_89(o2, 0, 1, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= o2 && 0 < 1 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static && 0 <= 1 && 0 < 2 && 0 <= static'3
was transformed to
main_Load_1(o2, env, static) -{31,31}> random_ArrayAccess_89(o2, 0, 1, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 && 0 < o2 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static && 0 <= static'3
(16) Obligation:
IntTrs with 12 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_214(a6, iconst_1, o18, o6, x, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, 1, o18, o6, 0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_89(a6, x, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
count_Load_336(o6, o18, a6, x, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13 && x = 2
random_InvokeMethod_122(o15, a6, o6, x, i6, x', env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 < a6 && 0 <= static && 1 <= i6 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6''' && x = 1 && x' = 0
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
random_InvokeMethod_300(o83, a6, o18, o6, x, i13, x', i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 < o18 && o18 <= o18''' && x = 2 && x' = 0
main_Load_1(o2, env, static) -{31,31}> random_ArrayAccess_89(o2, 0, 1, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 && 0 < o2 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static && 0 <= static'3
count_GE_348(i8, i42, o6, o18, a6, x, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i8 + 1, i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1 && x = 2
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(0, a6, o6, 1, i6, 0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
random_ArrayAccess_214(a6, x, o18, o6, i13, x', i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1 && x' = 0
random_ArrayAccess_89(a6, iconst_0, o6, x, env, static) -{0,0}> random_ArrayAccess_90(a6, 0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(0, a6, o18, o6, 2, i13, 0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
(17) JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID) transformation)
Transformed 105 jbc graph edges to a weighted ITS with 105 rules.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.
(18) Obligation:
IntTrs with 105 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_18(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_18(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_20(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_20(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_23(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_23(o2, env, static) -{0,0}> langle_clinit_rangle_New_25(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_25(o2, env, static) -{0,0}> langle_clinit_rangle_New_26(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_26(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_29(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_29(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_31(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_32(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_32(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_33(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_33(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_35(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_37(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_40(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_40(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_43(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_43(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_45(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_45(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_47(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_47(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_49(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_49(o2, env, static) -{1,1}> main_Load_55(o2, env, static) :|: 0 < o2
main_Load_55(o2, env, static) -{0,0}> main_Load_56(o2, env, static) :|: 0 < o2
main_Load_56(o2, env, static) -{0,0}> main_Load_59(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_59(o2, env, static) -{0,0}> main_Load_61(o2, env, static) :|: 0 < o2
main_Load_61(o2, env, static) -{0,0}> main_Load_63(o2, env, static) :|: 0 < o2
main_Load_63(o2, env, static) -{1,1}> main_FieldAccess_65(o2, env, static) :|: 0 < o2
main_FieldAccess_65(o2, env, static) -{0,0}> main_FieldAccess_67(o2, env, static) :|: 0 < o2
main_FieldAccess_67(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_68(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_68(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_70(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_70(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_71(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_71(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_72(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_72(o2, NULL, iconst_0, env, static) -{1,1}> main_New_73(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_New_73(o2, iconst_0, env, static) -{1,1}> main_Duplicate_74(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0 && o6 = 1
main_Duplicate_74(o2, o6, iconst_0, env, static) -{1,1}> main_InvokeMethod_75(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
main_InvokeMethod_75(o2, o6, iconst_0, env, static) -{1,1}> langle_init_rangle_Load_76(o6, o2, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
langle_init_rangle_Load_76(o6, o2, iconst_0, env, static) -{1,1}> langle_init_rangle_InvokeMethod_78(o6, o2, iconst_0, env, static) :|: 0 < o6 && 0 < o2 && iconst_0 = 0
langle_init_rangle_InvokeMethod_78(o6, o2, iconst_0, env, static) -{1,1}> langle_init_rangle_Return_79(o2, o6, iconst_0, env, static) :|: 0 < o6 && 0 < o2 && iconst_0 = 0
langle_init_rangle_Return_79(o2, o6, iconst_0, env, static) -{1,1}> main_Store_80(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
main_Store_80(o2, o6, iconst_0, env, static) -{1,1}> main_Load_81(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
main_Load_81(o2, o6, iconst_0, env, static) -{1,1}> main_InvokeMethod_84(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
main_InvokeMethod_84(o2, o6, iconst_0, env, static) -{1,1}> random_FieldAccess_85(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
random_FieldAccess_85(o2, o6, iconst_0, env, static) -{1,1}> random_FieldAccess_87(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_87(o2, o6, iconst_0, env, static) -{1,1}> random_ArrayAccess_88(o2, iconst_0, o6, env, static) :|: 0 < o2 && 0 < o6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_88(a6, iconst_0, o6, env, static) -{0,0}> random_ArrayAccess_89(a6, iconst_0, o6, i5, env, static) :|: 0 < o6 && i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_89(a6, iconst_0, o6, iconst_0, env, static) -{0,0}> random_ArrayAccess_90(a6, iconst_0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_89(a6, iconst_0, o6, i6, env, static) -{0,0}> random_ArrayAccess_91(a6, iconst_0, o6, i6, env, static) :|: 0 <= i6 && 1 <= i6 && 0 < o6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_91(a6, iconst_0, o6, i6, env, static) -{1,1}> random_Store_93(o10, a6, o6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_0 = 0 && 0 < a6 && o10 < a6
random_Store_93(o10, a6, o6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_94(o10, a6, o6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_0 = 0 && 0 < a6
random_FieldAccess_94(o10, a6, o6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_102(iconst_0, o10, a6, o6, i6, env, static) :|: 1 <= i6 && 0 < o6 && -1 * static <= iconst_0 && 0 <= o10 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_102(iconst_0, o10, a6, o6, i6, env, static) -{1,1}> random_IntArithmetic_109(iconst_0, iconst_1, o10, a6, o6, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_109(iconst_0, iconst_1, o10, a6, o6, i6, env, static) -{1,1}> random_FieldAccess_112(iconst_1, o10, a6, o6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_112(iconst_1, o10, a6, o6, iconst_0, i6, env, static) -{1,1}> random_Load_120(o10, a6, o6, iconst_1, i6, iconst_0, env, static') :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_120(o10, a6, o6, iconst_1, i6, iconst_0, env, static) -{1,1}> random_InvokeMethod_122(o10, a6, o6, iconst_1, i6, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_InvokeMethod_122(o15, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_123(o15, a6, o6, iconst_1, i6, iconst_0, env, static) :|: 0 <= o15 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o15 && 0 < a6
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
random_InvokeMethod_123(o15, a6, o6, iconst_1, i6, iconst_0, env, static) -{1,1}> random_Return_126(i8, a6, o6, iconst_1, i6, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && i8 <= o15 && 0 < o15 && 0 < a6 && 0 <= i8
random_Return_126(i8, a6, o6, iconst_1, i6, iconst_0, env, static) -{1,1}> main_FieldAccess_132(a6, o6, i8, iconst_1, i6, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
main_FieldAccess_132(a6, o6, i8, iconst_1, i6, iconst_0, env, static) -{1,1}> main_New_134(a6, o6', iconst_1, i6, i8, env, static) :|: 1 <= i6 && 0 < o6 && o6' <= o6 + i8 && iconst_1 = 1 && iconst_0 = 0 && 0 < o6' && 0 < a6 && 0 <= i8 && o6 <= o6'
main_New_134(a6, o6, iconst_1, i6, i8, env, static) -{1,1}> main_Duplicate_138(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: o18 = 1 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_Duplicate_138(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> main_InvokeMethod_145(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_InvokeMethod_145(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> langle_init_rangle_Load_148(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
langle_init_rangle_Load_148(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) -{1,1}> langle_init_rangle_InvokeMethod_160(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
langle_init_rangle_InvokeMethod_160(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) -{1,1}> langle_init_rangle_Return_163(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
langle_init_rangle_Return_163(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> main_Store_168(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_Store_168(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> main_Load_179(a6, o6, o18, iconst_1, i6, i8, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_Load_179(a6, o6, o18, iconst_1, i6, i8, iconst_0, env, static) -{1,1}> main_InvokeMethod_186(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_InvokeMethod_186(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_191(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_FieldAccess_191(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_205(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 0 <= a6 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && a6 <= static && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_205(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> random_ArrayAccess_214(a6, iconst_1, o18, o6, i6, iconst_0, i8, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && 0 < o6 && iconst_1 <= static && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_214(a6, iconst_1, o18, o6, iconst_1, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, iconst_1, o18, o6, iconst_0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_ArrayAccess_214(a6, iconst_1, o18, o6, i13, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_222(a6, iconst_1, o18, o6, i13, iconst_0, i8, env, static) :|: 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 1 <= i13 && 0 <= i8
random_ArrayAccess_222(a6, iconst_1, o18, o6, i13, iconst_0, i8, env, static) -{1,1}> random_Store_275(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && o43 < a6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_Store_275(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_282(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_FieldAccess_282(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) -{1,1}> random_ConstantStackPush_288(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) :|: 0 <= o43 && -1 * static <= iconst_1 && 0 < o6 && iconst_1 <= static && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8
random_ConstantStackPush_288(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) -{1,1}> random_IntArithmetic_292(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_IntArithmetic_292(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_294(iconst_2, o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_294(iconst_2, o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) -{1,1}> random_Load_297(o43, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static') :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_297(o43, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> random_InvokeMethod_300(o43, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_300(o83, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_302(o83, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 < o6 && 0 < o83 && 2 <= i13 && iconst_0 = 0 && 0 <= o83 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_302(o83, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> random_Return_306(i42, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 < o6 && 0 < o83 && i42 <= o83 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
random_Return_306(i42, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> main_FieldAccess_310(a6, o18, i42, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
main_FieldAccess_310(a6, o18, i42, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> main_Load_312(a6, o6, o18', iconst_2, i13, i8, i42, env, static) :|: 0 < o6 && o18' <= o18 + i42 && 0 < o18' && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2 && o18 <= o18'
main_Load_312(a6, o6, o18, iconst_2, i13, i8, i42, env, static) -{1,1}> main_Load_314(a6, o6, o18, iconst_2, i13, i8, i42, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
main_Load_314(a6, o6, o18, iconst_2, i13, i8, i42, env, static) -{1,1}> main_InvokeMethod_317(a6, o6, o18, iconst_2, i13, i8, i42, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
main_InvokeMethod_317(a6, o6, o18, iconst_2, i13, i8, i42, env, static) -{1,1}> count_Load_319(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_319(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_NULL_323(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_NULL_323(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_326(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_326(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_NONNULL_328(o18, o6, a6, iconst_2, i42, i8, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_NONNULL_328(o18, o6, a6, iconst_2, i42, i8, i13, env, static) -{1,1}> count_Load_331(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_331(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Store_334(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Store_334(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_336(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_336(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_FieldAccess_339(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_FieldAccess_339(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_342(i8, o6, o18, a6, iconst_2, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_342(i8, o6, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_FieldAccess_345(i8, o18, o6, a6, iconst_2, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_FieldAccess_345(i8, o18, o6, a6, iconst_2, i42, i13, env, static) -{1,1}> count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_354(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && i8 < i42 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
count_GE_354(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{1,1}> count_Load_375(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && i8 < i42 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
count_Load_375(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Duplicate_392(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_Duplicate_392(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_FieldAccess_397(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_FieldAccess_397(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_ConstantStackPush_404(o6, i8, o18, a6, iconst_2, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_ConstantStackPush_404(o6, i8, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_IntArithmetic_408(o6, i8, iconst_1, o18, a6, iconst_2, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_IntArithmetic_408(o6, i8, iconst_1, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_FieldAccess_414(o6, i49, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && i8 + iconst_1 = i49 && iconst_1 = 1 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 1 <= i49
count_FieldAccess_414(o6, i49, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_JMP_418(o6', o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o6' && 0 < o18 && 0 < a6 && 0 <= i8 && o6 < o6' && iconst_2 = 2 && o6' <= o6 + i49 && 1 <= i49
count_JMP_418(o6, o18, a6, iconst_2, i49, i42, i13, env, static) -{1,1}> count_Load_422(o6, o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && iconst_2 = 2 && 1 <= i49
count_Load_422(o6, o18, a6, iconst_2, i49, i42, i13, env, static) -{0,0}> count_Load_336(o6, o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 0 <= i49 && 2 <= i13 && 0 < o18 && 0 < a6 && iconst_2 = 2 && 0 <= i42 && 1 <= i49
(19) StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
obtained
main_Load_1(
o2,
env,
static) -{31,31}>
random_ArrayAccess_89(
o2,
0,
1,
i5',
env,
static'3) :|:
static'3 <=
static'2 +
o2 &&
0 <=
i5' &&
static'2 <=
static'1 +
0 &&
0 <
o2 &&
0 <=
2 &&
0 <=
o2 &&
0 <
1 &&
i5' <
o2 &&
0 <=
static'2 &&
o2 <=
static'3 &&
static'1 <=
static''' +
1 &&
0 <=
static'1 &&
static''' <=
static +
2 &&
-1 *
static'3 <=
0 &&
0 <=
static''' &&
0 <=
static &&
0 <=
1 &&
0 <
2 &&
0 <=
static'3by chaining
main_Load_1(
o2,
env,
static) -{0,0}>
main_Load_3(
o2,
env,
static) :|:
0 <
o2main_Load_3(
o2,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_5(
o2,
env,
static) :|:
0 <
o2langle_clinit_rangle_ConstantStackPush_5(
o2,
env,
static) -{1,1}>
langle_clinit_rangle_ArrayCreate_18(
iconst_0,
o2,
env,
static) :|:
0 <
o2 &&
iconst_0 =
0langle_clinit_rangle_ArrayCreate_18(
iconst_0,
o2,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_20(
a2,
o2,
iconst_0,
env,
static) :|:
a2 =
2 &&
0 <
o2 &&
iconst_0 =
0 &&
0 <
a2langle_clinit_rangle_FieldAccess_20(
a2,
o2,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_New_23(
o2,
env,
static') :|:
0 <=
a2 &&
0 <
o2 &&
iconst_0 =
0 &&
static' <=
static +
a2 &&
0 <=
static &&
0 <
a2langle_clinit_rangle_New_23(
o2,
env,
static) -{0,0}>
langle_clinit_rangle_New_25(
o2,
env,
static) :|:
0 <
o2langle_clinit_rangle_New_25(
o2,
env,
static) -{0,0}>
langle_clinit_rangle_New_26(
o2,
env,
static) :|:
0 <
o2 &&
0 <=
staticlangle_clinit_rangle_New_26(
o2,
env,
static) -{1,1}>
langle_clinit_rangle_Duplicate_29(
o4,
o2,
env,
static) :|:
o4 =
1 &&
0 <
o2 &&
0 <
o4langle_clinit_rangle_Duplicate_29(
o4,
o2,
env,
static) -{1,1}>
langle_clinit_rangle_ConstantStackPush_31(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_clinit_rangle_ConstantStackPush_31(
o4,
o2,
env,
static) -{1,1}>
langle_clinit_rangle_InvokeMethod_32(
o4,
NULL,
o2,
env,
static) :|:
NULL =
0 &&
0 <
o2 &&
0 <
o4langle_clinit_rangle_InvokeMethod_32(
o4,
NULL,
o2,
env,
static) -{1,1}>
langle_init_rangle_Load_33(
o4,
o2,
env,
static) :|:
NULL =
0 &&
0 <
o2 &&
0 <
o4langle_init_rangle_Load_33(
o4,
o2,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_35(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_init_rangle_InvokeMethod_35(
o4,
o2,
env,
static) -{1,1}>
langle_init_rangle_Load_37(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_init_rangle_Load_37(
o4,
o2,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_40(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_init_rangle_InvokeMethod_40(
o4,
o2,
env,
static) -{1,1}>
langle_init_rangle_Return_43(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_init_rangle_Return_43(
o4,
o2,
env,
static) -{1,1}>
langle_init_rangle_Return_45(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_init_rangle_Return_45(
o4,
o2,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_47(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_clinit_rangle_FieldAccess_47(
o4,
o2,
env,
static) -{1,1}>
langle_clinit_rangle_Return_49(
o2,
env,
static') :|:
0 <
o2 &&
0 <=
o4 &&
0 <
o4 &&
0 <=
static &&
static' <=
static +
o4langle_clinit_rangle_Return_49(
o2,
env,
static) -{1,1}>
main_Load_55(
o2,
env,
static) :|:
0 <
o2main_Load_55(
o2,
env,
static) -{0,0}>
main_Load_56(
o2,
env,
static) :|:
0 <
o2main_Load_56(
o2,
env,
static) -{0,0}>
main_Load_59(
o2,
env,
static) :|:
0 <
o2 &&
0 <=
staticmain_Load_59(
o2,
env,
static) -{0,0}>
main_Load_61(
o2,
env,
static) :|:
0 <
o2main_Load_61(
o2,
env,
static) -{0,0}>
main_Load_63(
o2,
env,
static) :|:
0 <
o2main_Load_63(
o2,
env,
static) -{1,1}>
main_FieldAccess_65(
o2,
env,
static) :|:
0 <
o2main_FieldAccess_65(
o2,
env,
static) -{0,0}>
main_FieldAccess_67(
o2,
env,
static) :|:
0 <
o2main_FieldAccess_67(
o2,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_68(
o2,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
0 <
o2 &&
iconst_0 =
0langle_clinit_rangle_ConstantStackPush_68(
o2,
NULL,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_70(
iconst_0,
o2,
NULL,
env,
static) :|:
NULL =
0 &&
0 <
o2 &&
iconst_0 =
0langle_clinit_rangle_FieldAccess_70(
iconst_0,
o2,
NULL,
env,
static) -{1,1}>
langle_clinit_rangle_Return_71(
o2,
NULL,
iconst_0,
env,
static') :|:
NULL =
0 &&
0 <
o2 &&
iconst_0 =
0 &&
0 <=
static &&
static' <=
static +
iconst_0langle_clinit_rangle_Return_71(
o2,
NULL,
iconst_0,
env,
static) -{1,1}>
main_FieldAccess_72(
o2,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
0 <
o2 &&
iconst_0 =
0main_FieldAccess_72(
o2,
NULL,
iconst_0,
env,
static) -{1,1}>
main_New_73(
o2,
iconst_0,
env,
static') :|:
NULL =
0 &&
0 <
o2 &&
0 <=
o2 &&
iconst_0 =
0 &&
0 <=
static &&
static' <=
static +
o2main_New_73(
o2,
iconst_0,
env,
static) -{1,1}>
main_Duplicate_74(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0 &&
o6 =
1main_Duplicate_74(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
main_InvokeMethod_75(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0main_InvokeMethod_75(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
langle_init_rangle_Load_76(
o6,
o2,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0langle_init_rangle_Load_76(
o6,
o2,
iconst_0,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_78(
o6,
o2,
iconst_0,
env,
static) :|:
0 <
o6 &&
0 <
o2 &&
iconst_0 =
0langle_init_rangle_InvokeMethod_78(
o6,
o2,
iconst_0,
env,
static) -{1,1}>
langle_init_rangle_Return_79(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o6 &&
0 <
o2 &&
iconst_0 =
0langle_init_rangle_Return_79(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
main_Store_80(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0main_Store_80(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
main_Load_81(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0main_Load_81(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
main_InvokeMethod_84(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0main_InvokeMethod_84(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_85(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0random_FieldAccess_85(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_87(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
o2 <=
static &&
0 <=
o2 &&
iconst_0 =
0 &&
0 <=
staticrandom_FieldAccess_87(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
random_ArrayAccess_88(
o2,
iconst_0,
o6,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
-1 *
static <=
iconst_0 &&
iconst_0 =
0 &&
0 <=
static &&
iconst_0 <=
staticrandom_ArrayAccess_88(
a6,
iconst_0,
o6,
env,
static) -{0,0}>
random_ArrayAccess_89(
a6,
iconst_0,
o6,
i5,
env,
static) :|:
0 <
o6 &&
i5 <
a6 &&
iconst_0 =
0 &&
0 <
a6 &&
0 <=
i5obtained
random_ArrayAccess_89(a6, 0, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_89(a6, iconst_0, o6, i6, env, static) -{0,0}> random_ArrayAccess_91(a6, iconst_0, o6, i6, env, static) :|: 0 <= i6 && 1 <= i6 && 0 < o6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_91(a6, iconst_0, o6, i6, env, static) -{1,1}> random_Store_93(o10, a6, o6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_0 = 0 && 0 < a6 && o10 < a6
random_Store_93(o10, a6, o6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_94(o10, a6, o6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_0 = 0 && 0 < a6
random_FieldAccess_94(o10, a6, o6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_102(iconst_0, o10, a6, o6, i6, env, static) :|: 1 <= i6 && 0 < o6 && -1 * static <= iconst_0 && 0 <= o10 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_102(iconst_0, o10, a6, o6, i6, env, static) -{1,1}> random_IntArithmetic_109(iconst_0, iconst_1, o10, a6, o6, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_109(iconst_0, iconst_1, o10, a6, o6, i6, env, static) -{1,1}> random_FieldAccess_112(iconst_1, o10, a6, o6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_112(iconst_1, o10, a6, o6, iconst_0, i6, env, static) -{1,1}> random_Load_120(o10, a6, o6, iconst_1, i6, iconst_0, env, static') :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_120(o10, a6, o6, iconst_1, i6, iconst_0, env, static) -{1,1}> random_InvokeMethod_122(o10, a6, o6, iconst_1, i6, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
obtained
random_InvokeMethod_122(o15, a6, o6, 1, i6, 0, env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6'''
by chaining
random_InvokeMethod_122(o15, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_123(o15, a6, o6, iconst_1, i6, iconst_0, env, static) :|: 0 <= o15 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o15 && 0 < a6
random_InvokeMethod_123(o15, a6, o6, iconst_1, i6, iconst_0, env, static) -{1,1}> random_Return_126(i8, a6, o6, iconst_1, i6, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && i8 <= o15 && 0 < o15 && 0 < a6 && 0 <= i8
random_Return_126(i8, a6, o6, iconst_1, i6, iconst_0, env, static) -{1,1}> main_FieldAccess_132(a6, o6, i8, iconst_1, i6, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
main_FieldAccess_132(a6, o6, i8, iconst_1, i6, iconst_0, env, static) -{1,1}> main_New_134(a6, o6', iconst_1, i6, i8, env, static) :|: 1 <= i6 && 0 < o6 && o6' <= o6 + i8 && iconst_1 = 1 && iconst_0 = 0 && 0 < o6' && 0 < a6 && 0 <= i8 && o6 <= o6'
main_New_134(a6, o6, iconst_1, i6, i8, env, static) -{1,1}> main_Duplicate_138(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: o18 = 1 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_Duplicate_138(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> main_InvokeMethod_145(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_InvokeMethod_145(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> langle_init_rangle_Load_148(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
langle_init_rangle_Load_148(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) -{1,1}> langle_init_rangle_InvokeMethod_160(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
langle_init_rangle_InvokeMethod_160(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) -{1,1}> langle_init_rangle_Return_163(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
langle_init_rangle_Return_163(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> main_Store_168(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_Store_168(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> main_Load_179(a6, o6, o18, iconst_1, i6, i8, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_Load_179(a6, o6, o18, iconst_1, i6, i8, iconst_0, env, static) -{1,1}> main_InvokeMethod_186(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_InvokeMethod_186(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_191(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_FieldAccess_191(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_205(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 0 <= a6 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && a6 <= static && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_205(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> random_ArrayAccess_214(a6, iconst_1, o18, o6, i6, iconst_0, i8, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && 0 < o6 && iconst_1 <= static && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8
obtained
random_ArrayAccess_214(a6, 1, o18, o6, i13, 0, i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_214(a6, iconst_1, o18, o6, i13, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_222(a6, iconst_1, o18, o6, i13, iconst_0, i8, env, static) :|: 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 1 <= i13 && 0 <= i8
random_ArrayAccess_222(a6, iconst_1, o18, o6, i13, iconst_0, i8, env, static) -{1,1}> random_Store_275(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && o43 < a6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_Store_275(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_282(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_FieldAccess_282(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) -{1,1}> random_ConstantStackPush_288(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) :|: 0 <= o43 && -1 * static <= iconst_1 && 0 < o6 && iconst_1 <= static && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8
random_ConstantStackPush_288(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) -{1,1}> random_IntArithmetic_292(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_IntArithmetic_292(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_294(iconst_2, o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_294(iconst_2, o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) -{1,1}> random_Load_297(o43, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static') :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_297(o43, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> random_InvokeMethod_300(o43, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
obtained
random_InvokeMethod_300(o83, a6, o18, o6, 2, i13, 0, i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18'''
by chaining
random_InvokeMethod_300(o83, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_302(o83, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 < o6 && 0 < o83 && 2 <= i13 && iconst_0 = 0 && 0 <= o83 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_302(o83, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> random_Return_306(i42, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 < o6 && 0 < o83 && i42 <= o83 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
random_Return_306(i42, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> main_FieldAccess_310(a6, o18, i42, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
main_FieldAccess_310(a6, o18, i42, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> main_Load_312(a6, o6, o18', iconst_2, i13, i8, i42, env, static) :|: 0 < o6 && o18' <= o18 + i42 && 0 < o18' && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2 && o18 <= o18'
main_Load_312(a6, o6, o18, iconst_2, i13, i8, i42, env, static) -{1,1}> main_Load_314(a6, o6, o18, iconst_2, i13, i8, i42, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
main_Load_314(a6, o6, o18, iconst_2, i13, i8, i42, env, static) -{1,1}> main_InvokeMethod_317(a6, o6, o18, iconst_2, i13, i8, i42, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
main_InvokeMethod_317(a6, o6, o18, iconst_2, i13, i8, i42, env, static) -{1,1}> count_Load_319(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_319(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_NULL_323(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_NULL_323(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_326(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_326(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_NONNULL_328(o18, o6, a6, iconst_2, i42, i8, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_NONNULL_328(o18, o6, a6, iconst_2, i42, i8, i13, env, static) -{1,1}> count_Load_331(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_331(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Store_334(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Store_334(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_336(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
obtained
count_Load_336(o6, o18, a6, 2, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13
by chaining
count_Load_336(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_FieldAccess_339(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_FieldAccess_339(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_342(i8, o6, o18, a6, iconst_2, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_342(i8, o6, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_FieldAccess_345(i8, o18, o6, a6, iconst_2, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_FieldAccess_345(i8, o18, o6, a6, iconst_2, i42, i13, env, static) -{1,1}> count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
obtained
count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1
by chaining
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_354(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && i8 < i42 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
count_GE_354(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{1,1}> count_Load_375(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && i8 < i42 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
count_Load_375(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Duplicate_392(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_Duplicate_392(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_FieldAccess_397(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_FieldAccess_397(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_ConstantStackPush_404(o6, i8, o18, a6, iconst_2, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_ConstantStackPush_404(o6, i8, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_IntArithmetic_408(o6, i8, iconst_1, o18, a6, iconst_2, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_IntArithmetic_408(o6, i8, iconst_1, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_FieldAccess_414(o6, i49, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && i8 + iconst_1 = i49 && iconst_1 = 1 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 1 <= i49
count_FieldAccess_414(o6, i49, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_JMP_418(o6', o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o6' && 0 < o18 && 0 < a6 && 0 <= i8 && o6 < o6' && iconst_2 = 2 && o6' <= o6 + i49 && 1 <= i49
count_JMP_418(o6, o18, a6, iconst_2, i49, i42, i13, env, static) -{1,1}> count_Load_422(o6, o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && iconst_2 = 2 && 1 <= i49
count_Load_422(o6, o18, a6, iconst_2, i49, i42, i13, env, static) -{0,0}> count_Load_336(o6, o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 0 <= i49 && 2 <= i13 && 0 < o18 && 0 < a6 && iconst_2 = 2 && 0 <= i42 && 1 <= i49
(20) Obligation:
IntTrs with 12 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{31,31}> random_ArrayAccess_89(o2, 0, 1, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= o2 && 0 < 1 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static && 0 <= 1 && 0 < 2 && 0 <= static'3
random_ArrayAccess_89(a6, iconst_0, o6, iconst_0, env, static) -{0,0}> random_ArrayAccess_90(a6, iconst_0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_89(a6, 0, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
random_InvokeMethod_122(o15, a6, o6, 1, i6, 0, env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6'''
random_ArrayAccess_214(a6, iconst_1, o18, o6, iconst_1, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, iconst_1, o18, o6, iconst_0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_ArrayAccess_214(a6, 1, o18, o6, i13, 0, i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_300(o83, a6, o18, o6, 2, i13, 0, i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18'''
count_Load_336(o6, o18, a6, 2, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1
(21) MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Moved arithmethic from lhss to constraints.
random_ArrayAccess_89(a6, 0, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_89(a6, x, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
count_Load_336(o6, o18, a6, 2, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13
was transformed to
count_Load_336(o6, o18, a6, x, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13 && x = 2
random_InvokeMethod_300(o83, a6, o18, o6, 2, i13, 0, i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18'''
was transformed to
random_InvokeMethod_300(o83, a6, o18, o6, x, i13, x', i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18''' && x = 2 && x' = 0
random_ArrayAccess_214(a6, 1, o18, o6, i13, 0, i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_214(a6, x, o18, o6, i13, x', i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1 && x' = 0
random_InvokeMethod_122(o15, a6, o6, 1, i6, 0, env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6'''
was transformed to
random_InvokeMethod_122(o15, a6, o6, x, i6, x', env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6''' && x = 1 && x' = 0
count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1
was transformed to
count_GE_348(i8, i42, o6, o18, a6, x, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1 && x = 2
(22) Obligation:
IntTrs with 12 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_89(a6, x, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
count_Load_336(o6, o18, a6, x, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13 && x = 2
random_InvokeMethod_300(o83, a6, o18, o6, x, i13, x', i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18''' && x = 2 && x' = 0
random_ArrayAccess_214(a6, x, o18, o6, i13, x', i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1 && x' = 0
random_ArrayAccess_214(a6, iconst_1, o18, o6, iconst_1, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, iconst_1, o18, o6, iconst_0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
random_ArrayAccess_89(a6, iconst_0, o6, iconst_0, env, static) -{0,0}> random_ArrayAccess_90(a6, iconst_0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6
random_InvokeMethod_122(o15, a6, o6, x, i6, x', env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6''' && x = 1 && x' = 0
main_Load_1(o2, env, static) -{31,31}> random_ArrayAccess_89(o2, 0, 1, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= o2 && 0 < 1 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static && 0 <= 1 && 0 < 2 && 0 <= static'3
count_GE_348(i8, i42, o6, o18, a6, x, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1 && x = 2
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
(23) LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Linearized lhss.
random_ArrayAccess_214(a6, iconst_1, o18, o6, iconst_1, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, iconst_1, o18, o6, iconst_0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
was transformed to
random_ArrayAccess_214(a6, iconst_1, o18, o6, x, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, iconst_1, o18, o6, iconst_0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_89(a6, iconst_0, o6, iconst_0, env, static) -{0,0}> random_ArrayAccess_90(a6, iconst_0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_89(a6, iconst_0, o6, x, env, static) -{0,0}> random_ArrayAccess_90(a6, iconst_0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6 && x = iconst_0
(24) Obligation:
IntTrs with 12 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
count_GE_348(i8, i42, o6, o18, a6, x, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1 && x = 2
random_ArrayAccess_89(a6, x, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_122(o15, a6, o6, x, i6, x', env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6''' && x = 1 && x' = 0
random_ArrayAccess_214(a6, iconst_1, o18, o6, x, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, iconst_1, o18, o6, iconst_0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_300(o83, a6, o18, o6, x, i13, x', i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18''' && x = 2 && x' = 0
count_Load_336(o6, o18, a6, x, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13 && x = 2
random_ArrayAccess_89(a6, iconst_0, o6, x, env, static) -{0,0}> random_ArrayAccess_90(a6, iconst_0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
main_Load_1(o2, env, static) -{31,31}> random_ArrayAccess_89(o2, 0, 1, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= o2 && 0 < 1 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static && 0 <= 1 && 0 < 2 && 0 <= static'3
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_214(a6, x, o18, o6, i13, x', i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1 && x' = 0
(25) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Moved arithmethic from constraints to rhss.
count_GE_348(i8, i42, o6, o18, a6, x, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1 && x = 2
was transformed to
count_GE_348(i8, i42, o6, o18, a6, x, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i8 + 1, i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1 && x = 2
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
was transformed to
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(0, a6, o6, 1, i6, 0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
random_ArrayAccess_214(a6, iconst_1, o18, o6, x, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, iconst_1, o18, o6, iconst_0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && x = iconst_1
was transformed to
random_ArrayAccess_214(a6, iconst_1, o18, o6, x, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, 1, o18, o6, 0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(0, a6, o18, o6, 2, i13, 0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_89(a6, iconst_0, o6, x, env, static) -{0,0}> random_ArrayAccess_90(a6, iconst_0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_89(a6, iconst_0, o6, x, env, static) -{0,0}> random_ArrayAccess_90(a6, 0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6 && x = iconst_0
(26) Obligation:
IntTrs with 12 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
count_GE_348(i8, i42, o6, o18, a6, x, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i8 + 1, i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1 && x = 2
random_ArrayAccess_89(a6, x, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
count_Load_336(o6, o18, a6, x, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13 && x = 2
random_InvokeMethod_300(o83, a6, o18, o6, x, i13, x', i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18''' && x = 2 && x' = 0
random_InvokeMethod_122(o15, a6, o6, x, i6, x', env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6''' && x = 1 && x' = 0
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(0, a6, o6, 1, i6, 0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
main_Load_1(o2, env, static) -{31,31}> random_ArrayAccess_89(o2, 0, 1, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= o2 && 0 < 1 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static && 0 <= 1 && 0 < 2 && 0 <= static'3
random_ArrayAccess_214(a6, iconst_1, o18, o6, x, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, 1, o18, o6, 0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_214(a6, x, o18, o6, i13, x', i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1 && x' = 0
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(0, a6, o18, o6, 2, i13, 0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_89(a6, iconst_0, o6, x, env, static) -{0,0}> random_ArrayAccess_90(a6, 0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6 && x = iconst_0
(27) ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Simplified expressions.
random_InvokeMethod_122(o15, a6, o6, x, i6, x', env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 <= a6 && 0 < a6 && 0 <= o15 && 0 <= static && 1 <= i6 && 0 < 1 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6''' && x = 1 && x' = 0
was transformed to
random_InvokeMethod_122(o15, a6, o6, x, i6, x', env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 < a6 && 0 <= static && 1 <= i6 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6''' && x = 1 && x' = 0
random_InvokeMethod_300(o83, a6, o18, o6, x, i13, x', i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 <= o83 && 0 < o18 && o18 <= o18''' && x = 2 && x' = 0
was transformed to
random_InvokeMethod_300(o83, a6, o18, o6, x, i13, x', i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 < o18 && o18 <= o18''' && x = 2 && x' = 0
main_Load_1(o2, env, static) -{31,31}> random_ArrayAccess_89(o2, 0, 1, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= o2 && 0 < 1 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static && 0 <= 1 && 0 < 2 && 0 <= static'3
was transformed to
main_Load_1(o2, env, static) -{31,31}> random_ArrayAccess_89(o2, 0, 1, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 && 0 < o2 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static && 0 <= static'3
(28) Obligation:
IntTrs with 12 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_214(a6, iconst_1, o18, o6, x, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_221(a6, 1, o18, o6, 0, i8, env, static) :|: 0 < o6 && 1 <= iconst_1 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_89(a6, x, o6, i6, env, static) -{7,7}> random_InvokeMethod_122(o10', a6, o6, 1, i6, 0, env, static'4) :|: o10' < a6 && 0 < a6 && 0 < o6 && 0 <= i6 && 0 <= static && 0 <= o10' && 1 <= i6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
count_Load_336(o6, o18, a6, x, i8, i42, i13, env, static) -{4,4}> count_GE_348(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < a6 && 0 <= i42 && 0 <= i8 && 0 < o18 && 0 < o6 && 2 <= i13 && x = 2
random_InvokeMethod_122(o15, a6, o6, x, i6, x', env, static) -{14,14}> random_ArrayAccess_214(a6, 1, 1, o6''', i6, 0, i8', env, static) :|: o6''' <= o6 + i8' && 0 <= i8' && 0 < a6 && 0 <= static && 1 <= i6 && a6 <= static && 0 < o6''' && 1 <= static && 0 < o6 && -1 * static <= 1 && i8' <= o15 && 0 < o15 && o6 <= o6''' && x = 1 && x' = 0
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_353(i8, i42, o6, o18, a6, 2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && i42 <= i8 && 0 <= i42 && iconst_2 = 2
random_InvokeMethod_300(o83, a6, o18, o6, x, i13, x', i8, env, static) -{12,12}> count_Load_336(o6, o18''', a6, 2, i8, i42', i13, env, static) :|: o18''' <= o18 + i42' && 0 <= i42' && 0 < o83 && i42' <= o83 && 0 <= i8 && 0 < o18''' && 0 < a6 && 0 < o6 && 2 <= i13 && 0 < o18 && o18 <= o18''' && x = 2 && x' = 0
main_Load_1(o2, env, static) -{31,31}> random_ArrayAccess_89(o2, 0, 1, i5', env, static'3) :|: static'3 <= static'2 + o2 && 0 <= i5' && static'2 <= static'1 && 0 < o2 && i5' < o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static && 0 <= static'3
count_GE_348(i8, i42, o6, o18, a6, x, i13, env, static) -{8,8}> count_Load_336(o6'1, o18, a6, 2, i8 + 1, i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 0 < o6 && 1 <= i42 && 0 < o6'1 && x = 2
random_InvokeMethod_122(NULL, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_124(0, a6, o6, 1, i6, 0, env, static) :|: NULL = 0 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= NULL && 0 < a6
random_ArrayAccess_214(a6, x, o18, o6, i13, x', i8, env, static) -{7,7}> random_InvokeMethod_300(o43', a6, o18, o6, 2, i13, 0, i8, env, static'5) :|: 1 <= i13 && 2 <= i13 && 0 <= i8 && 0 < o6 && 0 < a6 && 0 <= static && 0 < o18 && o43' < a6 && 0 <= o43' && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1 && x' = 0
random_ArrayAccess_89(a6, iconst_0, o6, x, env, static) -{0,0}> random_ArrayAccess_90(a6, 0, o6, env, static) :|: 0 <= iconst_0 && 0 < o6 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_300(NULL, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_303(0, a6, o18, o6, 2, i13, 0, i8, env, static) :|: NULL = 0 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
(29) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(93)) transformation)
Extracted set of 100 edges for the analysis of TIME complexity. Dropped leaves.
(30) Obligation:
Set of 100 edges based on JBC Program.
Performed SCC analyses:
- Used field analysis yielded the following read fields:
Considered paths: all paths from start
(31) JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID) transformation)
Transformed 100 jbc graph edges to a weighted ITS with 100 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Filtered fields of type java.lang.Object.
Did no encode lower bounds for putfield and astore.
(32) Obligation:
IntTrs with 100 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_18(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_18(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_20(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_20(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_23(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_23(o2, env, static) -{0,0}> langle_clinit_rangle_New_25(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_25(o2, env, static) -{0,0}> langle_clinit_rangle_New_26(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_26(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_29(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_29(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_31(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_32(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_32(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_33(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_33(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_35(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_37(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_40(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_40(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_43(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_43(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_45(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_45(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_47(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_47(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_49(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_49(o2, env, static) -{1,1}> main_Load_55(o2, env, static) :|: 0 < o2
main_Load_55(o2, env, static) -{0,0}> main_Load_56(o2, env, static) :|: 0 < o2
main_Load_56(o2, env, static) -{0,0}> main_Load_59(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_59(o2, env, static) -{0,0}> main_Load_61(o2, env, static) :|: 0 < o2
main_Load_61(o2, env, static) -{0,0}> main_Load_63(o2, env, static) :|: 0 < o2
main_Load_63(o2, env, static) -{1,1}> main_FieldAccess_65(o2, env, static) :|: 0 < o2
main_FieldAccess_65(o2, env, static) -{0,0}> main_FieldAccess_67(o2, env, static) :|: 0 < o2
main_FieldAccess_67(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_68(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_68(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_70(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_70(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_71(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_71(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_72(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_72(o2, NULL, iconst_0, env, static) -{1,1}> main_New_73(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_New_73(o2, iconst_0, env, static) -{1,1}> main_Duplicate_74(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0 && o6 = 1
main_Duplicate_74(o2, o6, iconst_0, env, static) -{1,1}> main_InvokeMethod_75(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
main_InvokeMethod_75(o2, o6, iconst_0, env, static) -{1,1}> langle_init_rangle_Load_76(o6, o2, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
langle_init_rangle_Load_76(o6, o2, iconst_0, env, static) -{1,1}> langle_init_rangle_InvokeMethod_78(o6, o2, iconst_0, env, static) :|: 0 < o6 && 0 < o2 && iconst_0 = 0
langle_init_rangle_InvokeMethod_78(o6, o2, iconst_0, env, static) -{1,1}> langle_init_rangle_Return_79(o2, o6, iconst_0, env, static) :|: 0 < o6 && 0 < o2 && iconst_0 = 0
langle_init_rangle_Return_79(o2, o6, iconst_0, env, static) -{1,1}> main_Store_80(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
main_Store_80(o2, o6, iconst_0, env, static) -{1,1}> main_Load_81(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
main_Load_81(o2, o6, iconst_0, env, static) -{1,1}> main_InvokeMethod_84(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
main_InvokeMethod_84(o2, o6, iconst_0, env, static) -{1,1}> random_FieldAccess_85(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && iconst_0 = 0
random_FieldAccess_85(o2, o6, iconst_0, env, static) -{1,1}> random_FieldAccess_87(o2, o6, iconst_0, env, static) :|: 0 < o2 && 0 < o6 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_87(o2, o6, iconst_0, env, static) -{1,1}> random_ArrayAccess_88(o2, iconst_0, o6, env, static) :|: 0 < o2 && 0 < o6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_88(a6, iconst_0, o6, env, static) -{0,0}> random_ArrayAccess_89(a6, iconst_0, o6, i5, env, static) :|: 0 < o6 && i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_89(a6, iconst_0, o6, i6, env, static) -{0,0}> random_ArrayAccess_91(a6, iconst_0, o6, i6, env, static) :|: 0 <= i6 && 1 <= i6 && 0 < o6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_91(a6, iconst_0, o6, i6, env, static) -{1,1}> random_Store_93(o10, a6, o6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_0 = 0 && 0 < a6 && o10 < a6
random_Store_93(o10, a6, o6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_94(o10, a6, o6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_0 = 0 && 0 < a6
random_FieldAccess_94(o10, a6, o6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_102(iconst_0, o10, a6, o6, i6, env, static) :|: 1 <= i6 && 0 < o6 && -1 * static <= iconst_0 && 0 <= o10 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_102(iconst_0, o10, a6, o6, i6, env, static) -{1,1}> random_IntArithmetic_109(iconst_0, iconst_1, o10, a6, o6, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_109(iconst_0, iconst_1, o10, a6, o6, i6, env, static) -{1,1}> random_FieldAccess_112(iconst_1, o10, a6, o6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_112(iconst_1, o10, a6, o6, iconst_0, i6, env, static) -{1,1}> random_Load_120(o10, a6, o6, iconst_1, i6, iconst_0, env, static') :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_120(o10, a6, o6, iconst_1, i6, iconst_0, env, static) -{1,1}> random_InvokeMethod_122(o10, a6, o6, iconst_1, i6, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && 0 <= o10 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_InvokeMethod_122(o15, a6, o6, iconst_1, i6, iconst_0, env, static) -{0,0}> random_InvokeMethod_123(o15, a6, o6, iconst_1, i6, iconst_0, env, static) :|: 0 <= o15 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o15 && 0 < a6
random_InvokeMethod_123(o15, a6, o6, iconst_1, i6, iconst_0, env, static) -{1,1}> random_Return_126(i8, a6, o6, iconst_1, i6, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && i8 <= o15 && 0 < o15 && 0 < a6 && 0 <= i8
random_Return_126(i8, a6, o6, iconst_1, i6, iconst_0, env, static) -{1,1}> main_FieldAccess_132(a6, o6, i8, iconst_1, i6, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
main_FieldAccess_132(a6, o6, i8, iconst_1, i6, iconst_0, env, static) -{1,1}> main_New_134(a6, o6', iconst_1, i6, i8, env, static) :|: 1 <= i6 && 0 < o6 && o6' <= o6 + i8 && iconst_1 = 1 && iconst_0 = 0 && 0 < o6' && 0 < a6 && 0 <= i8 && o6 <= o6'
main_New_134(a6, o6, iconst_1, i6, i8, env, static) -{1,1}> main_Duplicate_138(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: o18 = 1 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_Duplicate_138(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> main_InvokeMethod_145(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_InvokeMethod_145(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> langle_init_rangle_Load_148(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
langle_init_rangle_Load_148(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) -{1,1}> langle_init_rangle_InvokeMethod_160(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
langle_init_rangle_InvokeMethod_160(o18, a6, o6, iconst_1, iconst_0, i6, i8, env, static) -{1,1}> langle_init_rangle_Return_163(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
langle_init_rangle_Return_163(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> main_Store_168(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_Store_168(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> main_Load_179(a6, o6, o18, iconst_1, i6, i8, iconst_0, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_Load_179(a6, o6, o18, iconst_1, i6, i8, iconst_0, env, static) -{1,1}> main_InvokeMethod_186(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
main_InvokeMethod_186(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_191(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_FieldAccess_191(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_205(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) :|: 0 <= a6 && 1 <= i6 && 0 < o6 && iconst_1 = 1 && iconst_0 = 0 && a6 <= static && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_205(a6, o18, o6, iconst_1, i6, iconst_0, i8, env, static) -{1,1}> random_ArrayAccess_214(a6, iconst_1, o18, o6, i6, iconst_0, i8, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && 0 < o6 && iconst_1 <= static && iconst_1 = 1 && iconst_0 = 0 && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_214(a6, iconst_1, o18, o6, i13, iconst_0, i8, env, static) -{0,0}> random_ArrayAccess_222(a6, iconst_1, o18, o6, i13, iconst_0, i8, env, static) :|: 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 1 <= i13 && 0 <= i8
random_ArrayAccess_222(a6, iconst_1, o18, o6, i13, iconst_0, i8, env, static) -{1,1}> random_Store_275(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && o43 < a6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_Store_275(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_282(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_FieldAccess_282(o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) -{1,1}> random_ConstantStackPush_288(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) :|: 0 <= o43 && -1 * static <= iconst_1 && 0 < o6 && iconst_1 <= static && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8
random_ConstantStackPush_288(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) -{1,1}> random_IntArithmetic_292(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8
random_IntArithmetic_292(iconst_1, o43, a6, o18, o6, i13, iconst_0, i8, env, static) -{1,1}> random_FieldAccess_294(iconst_2, o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_294(iconst_2, o43, a6, o18, o6, iconst_1, i13, iconst_0, i8, env, static) -{1,1}> random_Load_297(o43, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static') :|: 0 <= o43 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_297(o43, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> random_InvokeMethod_300(o43, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 <= o43 && 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_300(o83, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{0,0}> random_InvokeMethod_302(o83, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 < o6 && 0 < o83 && 2 <= i13 && iconst_0 = 0 && 0 <= o83 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_302(o83, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> random_Return_306(i42, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 < o6 && 0 < o83 && i42 <= o83 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
random_Return_306(i42, a6, o18, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> main_FieldAccess_310(a6, o18, i42, o6, iconst_2, i13, iconst_0, i8, env, static) :|: 0 < o6 && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
main_FieldAccess_310(a6, o18, i42, o6, iconst_2, i13, iconst_0, i8, env, static) -{1,1}> main_Load_312(a6, o6, o18', iconst_2, i13, i8, i42, env, static) :|: 0 < o6 && o18' <= o18 + i42 && 0 < o18' && 2 <= i13 && iconst_0 = 0 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2 && o18 <= o18'
main_Load_312(a6, o6, o18, iconst_2, i13, i8, i42, env, static) -{1,1}> main_Load_314(a6, o6, o18, iconst_2, i13, i8, i42, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
main_Load_314(a6, o6, o18, iconst_2, i13, i8, i42, env, static) -{1,1}> main_InvokeMethod_317(a6, o6, o18, iconst_2, i13, i8, i42, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
main_InvokeMethod_317(a6, o6, o18, iconst_2, i13, i8, i42, env, static) -{1,1}> count_Load_319(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_319(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_NULL_323(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_NULL_323(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_326(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_326(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_NONNULL_328(o18, o6, a6, iconst_2, i42, i8, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_NONNULL_328(o18, o6, a6, iconst_2, i42, i8, i13, env, static) -{1,1}> count_Load_331(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_331(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Store_334(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Store_334(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_336(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_336(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_FieldAccess_339(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_FieldAccess_339(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_342(i8, o6, o18, a6, iconst_2, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_342(i8, o6, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_FieldAccess_345(i8, o18, o6, a6, iconst_2, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_FieldAccess_345(i8, o18, o6, a6, iconst_2, i42, i13, env, static) -{1,1}> count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_354(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && i8 < i42 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
count_GE_354(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{1,1}> count_Load_375(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && i8 < i42 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
count_Load_375(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Duplicate_392(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_Duplicate_392(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_FieldAccess_397(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_FieldAccess_397(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_ConstantStackPush_404(o6, i8, o18, a6, iconst_2, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_ConstantStackPush_404(o6, i8, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_IntArithmetic_408(o6, i8, iconst_1, o18, a6, iconst_2, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_IntArithmetic_408(o6, i8, iconst_1, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_FieldAccess_414(o6, i49, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && i8 + iconst_1 = i49 && iconst_1 = 1 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 1 <= i49
count_FieldAccess_414(o6, i49, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_JMP_418(o6', o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o6' && 0 < o18 && 0 < a6 && 0 <= i8 && o6 < o6' && iconst_2 = 2 && o6' <= o6 + i49 && 1 <= i49
count_JMP_418(o6, o18, a6, iconst_2, i49, i42, i13, env, static) -{1,1}> count_Load_422(o6, o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && iconst_2 = 2 && 1 <= i49
count_Load_422(o6, o18, a6, iconst_2, i49, i42, i13, env, static) -{0,0}> count_Load_336(o6, o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 0 <= i49 && 2 <= i13 && 0 < o18 && 0 < a6 && iconst_2 = 2 && 0 <= i42 && 1 <= i49
(33) StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
obtained
main_Load_1(
o2,
env,
static) -{71,71}>
count_Load_336(
o6''',
o18''',
o2,
2,
i8',
i42',
i5',
env,
static'5) :|:
static'5 <=
static'4 +
2 &&
0 <=
i42' &&
1 <=
o6''' &&
o10' <
o2 &&
0 <=
i8' &&
1 <=
i5' &&
0 <
o2 &&
static'3 <=
static'2 +
o2 &&
0 <
o18''' &&
0 <=
o43' &&
0 <
o6''' &&
2 <=
i5' &&
static'2 <=
static'1 +
0 &&
0 <=
static'4 &&
0 <
o10' &&
o2 <=
static'4 &&
0 <=
2 &&
i8' <=
o10' &&
0 <=
o2 &&
o6''' <=
1 +
i8' &&
i5' <
o2 &&
-1 *
static'3 <=
0 &&
0 <=
static'2 &&
o2 <=
static'3 &&
static'1 <=
static''' +
1 &&
0 <=
static'1 &&
static''' <=
static +
2 &&
0 <=
static''' &&
-1 *
static'4 <=
1 &&
0 <
o43' &&
o18''' <=
1 +
i42' &&
0 <=
o10' &&
i42' <=
o43' &&
1 <=
static'4 &&
o43' <
o2 &&
0 <
1 &&
0 <=
i5' &&
0 <=
static'3 &&
0 <=
static &&
0 <=
1 &&
static'4 <=
static'3 +
1 &&
0 <
2 &&
1 <=
o18'''by chaining
main_Load_1(
o2,
env,
static) -{0,0}>
main_Load_3(
o2,
env,
static) :|:
0 <
o2main_Load_3(
o2,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_5(
o2,
env,
static) :|:
0 <
o2langle_clinit_rangle_ConstantStackPush_5(
o2,
env,
static) -{1,1}>
langle_clinit_rangle_ArrayCreate_18(
iconst_0,
o2,
env,
static) :|:
0 <
o2 &&
iconst_0 =
0langle_clinit_rangle_ArrayCreate_18(
iconst_0,
o2,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_20(
a2,
o2,
iconst_0,
env,
static) :|:
a2 =
2 &&
0 <
o2 &&
iconst_0 =
0 &&
0 <
a2langle_clinit_rangle_FieldAccess_20(
a2,
o2,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_New_23(
o2,
env,
static') :|:
0 <=
a2 &&
0 <
o2 &&
iconst_0 =
0 &&
static' <=
static +
a2 &&
0 <=
static &&
0 <
a2langle_clinit_rangle_New_23(
o2,
env,
static) -{0,0}>
langle_clinit_rangle_New_25(
o2,
env,
static) :|:
0 <
o2langle_clinit_rangle_New_25(
o2,
env,
static) -{0,0}>
langle_clinit_rangle_New_26(
o2,
env,
static) :|:
0 <
o2 &&
0 <=
staticlangle_clinit_rangle_New_26(
o2,
env,
static) -{1,1}>
langle_clinit_rangle_Duplicate_29(
o4,
o2,
env,
static) :|:
o4 =
1 &&
0 <
o2 &&
0 <
o4langle_clinit_rangle_Duplicate_29(
o4,
o2,
env,
static) -{1,1}>
langle_clinit_rangle_ConstantStackPush_31(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_clinit_rangle_ConstantStackPush_31(
o4,
o2,
env,
static) -{1,1}>
langle_clinit_rangle_InvokeMethod_32(
o4,
NULL,
o2,
env,
static) :|:
NULL =
0 &&
0 <
o2 &&
0 <
o4langle_clinit_rangle_InvokeMethod_32(
o4,
NULL,
o2,
env,
static) -{1,1}>
langle_init_rangle_Load_33(
o4,
o2,
env,
static) :|:
NULL =
0 &&
0 <
o2 &&
0 <
o4langle_init_rangle_Load_33(
o4,
o2,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_35(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_init_rangle_InvokeMethod_35(
o4,
o2,
env,
static) -{1,1}>
langle_init_rangle_Load_37(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_init_rangle_Load_37(
o4,
o2,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_40(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_init_rangle_InvokeMethod_40(
o4,
o2,
env,
static) -{1,1}>
langle_init_rangle_Return_43(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_init_rangle_Return_43(
o4,
o2,
env,
static) -{1,1}>
langle_init_rangle_Return_45(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_init_rangle_Return_45(
o4,
o2,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_47(
o4,
o2,
env,
static) :|:
0 <
o2 &&
0 <
o4langle_clinit_rangle_FieldAccess_47(
o4,
o2,
env,
static) -{1,1}>
langle_clinit_rangle_Return_49(
o2,
env,
static') :|:
0 <
o2 &&
0 <=
o4 &&
0 <
o4 &&
0 <=
static &&
static' <=
static +
o4langle_clinit_rangle_Return_49(
o2,
env,
static) -{1,1}>
main_Load_55(
o2,
env,
static) :|:
0 <
o2main_Load_55(
o2,
env,
static) -{0,0}>
main_Load_56(
o2,
env,
static) :|:
0 <
o2main_Load_56(
o2,
env,
static) -{0,0}>
main_Load_59(
o2,
env,
static) :|:
0 <
o2 &&
0 <=
staticmain_Load_59(
o2,
env,
static) -{0,0}>
main_Load_61(
o2,
env,
static) :|:
0 <
o2main_Load_61(
o2,
env,
static) -{0,0}>
main_Load_63(
o2,
env,
static) :|:
0 <
o2main_Load_63(
o2,
env,
static) -{1,1}>
main_FieldAccess_65(
o2,
env,
static) :|:
0 <
o2main_FieldAccess_65(
o2,
env,
static) -{0,0}>
main_FieldAccess_67(
o2,
env,
static) :|:
0 <
o2main_FieldAccess_67(
o2,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_68(
o2,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
0 <
o2 &&
iconst_0 =
0langle_clinit_rangle_ConstantStackPush_68(
o2,
NULL,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_70(
iconst_0,
o2,
NULL,
env,
static) :|:
NULL =
0 &&
0 <
o2 &&
iconst_0 =
0langle_clinit_rangle_FieldAccess_70(
iconst_0,
o2,
NULL,
env,
static) -{1,1}>
langle_clinit_rangle_Return_71(
o2,
NULL,
iconst_0,
env,
static') :|:
NULL =
0 &&
0 <
o2 &&
iconst_0 =
0 &&
0 <=
static &&
static' <=
static +
iconst_0langle_clinit_rangle_Return_71(
o2,
NULL,
iconst_0,
env,
static) -{1,1}>
main_FieldAccess_72(
o2,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
0 <
o2 &&
iconst_0 =
0main_FieldAccess_72(
o2,
NULL,
iconst_0,
env,
static) -{1,1}>
main_New_73(
o2,
iconst_0,
env,
static') :|:
NULL =
0 &&
0 <
o2 &&
0 <=
o2 &&
iconst_0 =
0 &&
0 <=
static &&
static' <=
static +
o2main_New_73(
o2,
iconst_0,
env,
static) -{1,1}>
main_Duplicate_74(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0 &&
o6 =
1main_Duplicate_74(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
main_InvokeMethod_75(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0main_InvokeMethod_75(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
langle_init_rangle_Load_76(
o6,
o2,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0langle_init_rangle_Load_76(
o6,
o2,
iconst_0,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_78(
o6,
o2,
iconst_0,
env,
static) :|:
0 <
o6 &&
0 <
o2 &&
iconst_0 =
0langle_init_rangle_InvokeMethod_78(
o6,
o2,
iconst_0,
env,
static) -{1,1}>
langle_init_rangle_Return_79(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o6 &&
0 <
o2 &&
iconst_0 =
0langle_init_rangle_Return_79(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
main_Store_80(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0main_Store_80(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
main_Load_81(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0main_Load_81(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
main_InvokeMethod_84(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0main_InvokeMethod_84(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_85(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
iconst_0 =
0random_FieldAccess_85(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_87(
o2,
o6,
iconst_0,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
o2 <=
static &&
0 <=
o2 &&
iconst_0 =
0 &&
0 <=
staticrandom_FieldAccess_87(
o2,
o6,
iconst_0,
env,
static) -{1,1}>
random_ArrayAccess_88(
o2,
iconst_0,
o6,
env,
static) :|:
0 <
o2 &&
0 <
o6 &&
-1 *
static <=
iconst_0 &&
iconst_0 =
0 &&
0 <=
static &&
iconst_0 <=
staticrandom_ArrayAccess_88(
a6,
iconst_0,
o6,
env,
static) -{0,0}>
random_ArrayAccess_89(
a6,
iconst_0,
o6,
i5,
env,
static) :|:
0 <
o6 &&
i5 <
a6 &&
iconst_0 =
0 &&
0 <
a6 &&
0 <=
i5random_ArrayAccess_89(
a6,
iconst_0,
o6,
i6,
env,
static) -{0,0}>
random_ArrayAccess_91(
a6,
iconst_0,
o6,
i6,
env,
static) :|:
0 <=
i6 &&
1 <=
i6 &&
0 <
o6 &&
iconst_0 =
0 &&
0 <
a6random_ArrayAccess_91(
a6,
iconst_0,
o6,
i6,
env,
static) -{1,1}>
random_Store_93(
o10,
a6,
o6,
iconst_0,
i6,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
0 <=
o10 &&
iconst_0 =
0 &&
0 <
a6 &&
o10 <
a6random_Store_93(
o10,
a6,
o6,
iconst_0,
i6,
env,
static) -{1,1}>
random_FieldAccess_94(
o10,
a6,
o6,
iconst_0,
i6,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
0 <=
o10 &&
iconst_0 =
0 &&
0 <
a6random_FieldAccess_94(
o10,
a6,
o6,
iconst_0,
i6,
env,
static) -{1,1}>
random_ConstantStackPush_102(
iconst_0,
o10,
a6,
o6,
i6,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
-1 *
static <=
iconst_0 &&
0 <=
o10 &&
iconst_0 =
0 &&
0 <=
static &&
0 <
a6 &&
iconst_0 <=
staticrandom_ConstantStackPush_102(
iconst_0,
o10,
a6,
o6,
i6,
env,
static) -{1,1}>
random_IntArithmetic_109(
iconst_0,
iconst_1,
o10,
a6,
o6,
i6,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
0 <=
o10 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
a6random_IntArithmetic_109(
iconst_0,
iconst_1,
o10,
a6,
o6,
i6,
env,
static) -{1,1}>
random_FieldAccess_112(
iconst_1,
o10,
a6,
o6,
iconst_0,
i6,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
0 <=
o10 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
a6random_FieldAccess_112(
iconst_1,
o10,
a6,
o6,
iconst_0,
i6,
env,
static) -{1,1}>
random_Load_120(
o10,
a6,
o6,
iconst_1,
i6,
iconst_0,
env,
static') :|:
1 <=
i6 &&
0 <
o6 &&
0 <=
o10 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <=
static &&
0 <
a6 &&
static' <=
static +
iconst_1random_Load_120(
o10,
a6,
o6,
iconst_1,
i6,
iconst_0,
env,
static) -{1,1}>
random_InvokeMethod_122(
o10,
a6,
o6,
iconst_1,
i6,
iconst_0,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
0 <=
o10 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
a6random_InvokeMethod_122(
o15,
a6,
o6,
iconst_1,
i6,
iconst_0,
env,
static) -{0,0}>
random_InvokeMethod_123(
o15,
a6,
o6,
iconst_1,
i6,
iconst_0,
env,
static) :|:
0 <=
o15 &&
1 <=
i6 &&
0 <
o6 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
o15 &&
0 <
a6random_InvokeMethod_123(
o15,
a6,
o6,
iconst_1,
i6,
iconst_0,
env,
static) -{1,1}>
random_Return_126(
i8,
a6,
o6,
iconst_1,
i6,
iconst_0,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
i8 <=
o15 &&
0 <
o15 &&
0 <
a6 &&
0 <=
i8random_Return_126(
i8,
a6,
o6,
iconst_1,
i6,
iconst_0,
env,
static) -{1,1}>
main_FieldAccess_132(
a6,
o6,
i8,
iconst_1,
i6,
iconst_0,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
a6 &&
0 <=
i8main_FieldAccess_132(
a6,
o6,
i8,
iconst_1,
i6,
iconst_0,
env,
static) -{1,1}>
main_New_134(
a6,
o6',
iconst_1,
i6,
i8,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
o6' <=
o6 +
i8 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
o6' &&
0 <
a6 &&
0 <=
i8 &&
o6 <=
o6'main_New_134(
a6,
o6,
iconst_1,
i6,
i8,
env,
static) -{1,1}>
main_Duplicate_138(
a6,
o18,
o6,
iconst_1,
i6,
iconst_0,
i8,
env,
static) :|:
o18 =
1 &&
1 <=
i6 &&
0 <
o6 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8main_Duplicate_138(
a6,
o18,
o6,
iconst_1,
i6,
iconst_0,
i8,
env,
static) -{1,1}>
main_InvokeMethod_145(
a6,
o18,
o6,
iconst_1,
i6,
iconst_0,
i8,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8main_InvokeMethod_145(
a6,
o18,
o6,
iconst_1,
i6,
iconst_0,
i8,
env,
static) -{1,1}>
langle_init_rangle_Load_148(
o18,
a6,
o6,
iconst_1,
iconst_0,
i6,
i8,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8langle_init_rangle_Load_148(
o18,
a6,
o6,
iconst_1,
iconst_0,
i6,
i8,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_160(
o18,
a6,
o6,
iconst_1,
iconst_0,
i6,
i8,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8langle_init_rangle_InvokeMethod_160(
o18,
a6,
o6,
iconst_1,
iconst_0,
i6,
i8,
env,
static) -{1,1}>
langle_init_rangle_Return_163(
a6,
o18,
o6,
iconst_1,
i6,
iconst_0,
i8,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8langle_init_rangle_Return_163(
a6,
o18,
o6,
iconst_1,
i6,
iconst_0,
i8,
env,
static) -{1,1}>
main_Store_168(
a6,
o18,
o6,
iconst_1,
i6,
iconst_0,
i8,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8main_Store_168(
a6,
o18,
o6,
iconst_1,
i6,
iconst_0,
i8,
env,
static) -{1,1}>
main_Load_179(
a6,
o6,
o18,
iconst_1,
i6,
i8,
iconst_0,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8main_Load_179(
a6,
o6,
o18,
iconst_1,
i6,
i8,
iconst_0,
env,
static) -{1,1}>
main_InvokeMethod_186(
a6,
o18,
o6,
iconst_1,
i6,
iconst_0,
i8,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8main_InvokeMethod_186(
a6,
o18,
o6,
iconst_1,
i6,
iconst_0,
i8,
env,
static) -{1,1}>
random_FieldAccess_191(
a6,
o18,
o6,
iconst_1,
i6,
iconst_0,
i8,
env,
static) :|:
1 <=
i6 &&
0 <
o6 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8random_FieldAccess_191(
a6,
o18,
o6,
iconst_1,
i6,
iconst_0,
i8,
env,
static) -{1,1}>
random_FieldAccess_205(
a6,
o18,
o6,
iconst_1,
i6,
iconst_0,
i8,
env,
static) :|:
0 <=
a6 &&
1 <=
i6 &&
0 <
o6 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
a6 <=
static &&
0 <
o18 &&
0 <=
static &&
0 <
a6 &&
0 <=
i8random_FieldAccess_205(
a6,
o18,
o6,
iconst_1,
i6,
iconst_0,
i8,
env,
static) -{1,1}>
random_ArrayAccess_214(
a6,
iconst_1,
o18,
o6,
i6,
iconst_0,
i8,
env,
static) :|:
-1 *
static <=
iconst_1 &&
1 <=
i6 &&
0 <
o6 &&
iconst_1 <=
static &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <=
static &&
0 <
a6 &&
0 <=
i8random_ArrayAccess_214(
a6,
iconst_1,
o18,
o6,
i13,
iconst_0,
i8,
env,
static) -{0,0}>
random_ArrayAccess_222(
a6,
iconst_1,
o18,
o6,
i13,
iconst_0,
i8,
env,
static) :|:
0 <
o6 &&
iconst_1 =
1 &&
2 <=
i13 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
1 <=
i13 &&
0 <=
i8random_ArrayAccess_222(
a6,
iconst_1,
o18,
o6,
i13,
iconst_0,
i8,
env,
static) -{1,1}>
random_Store_275(
o43,
a6,
o18,
o6,
iconst_1,
i13,
iconst_0,
i8,
env,
static) :|:
0 <=
o43 &&
0 <
o6 &&
o43 <
a6 &&
iconst_1 =
1 &&
2 <=
i13 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8random_Store_275(
o43,
a6,
o18,
o6,
iconst_1,
i13,
iconst_0,
i8,
env,
static) -{1,1}>
random_FieldAccess_282(
o43,
a6,
o18,
o6,
iconst_1,
i13,
iconst_0,
i8,
env,
static) :|:
0 <=
o43 &&
0 <
o6 &&
iconst_1 =
1 &&
2 <=
i13 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8random_FieldAccess_282(
o43,
a6,
o18,
o6,
iconst_1,
i13,
iconst_0,
i8,
env,
static) -{1,1}>
random_ConstantStackPush_288(
iconst_1,
o43,
a6,
o18,
o6,
i13,
iconst_0,
i8,
env,
static) :|:
0 <=
o43 &&
-1 *
static <=
iconst_1 &&
0 <
o6 &&
iconst_1 <=
static &&
iconst_1 =
1 &&
2 <=
i13 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <=
static &&
0 <
a6 &&
0 <=
i8random_ConstantStackPush_288(
iconst_1,
o43,
a6,
o18,
o6,
i13,
iconst_0,
i8,
env,
static) -{1,1}>
random_IntArithmetic_292(
iconst_1,
o43,
a6,
o18,
o6,
i13,
iconst_0,
i8,
env,
static) :|:
0 <=
o43 &&
0 <
o6 &&
iconst_1 =
1 &&
2 <=
i13 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8random_IntArithmetic_292(
iconst_1,
o43,
a6,
o18,
o6,
i13,
iconst_0,
i8,
env,
static) -{1,1}>
random_FieldAccess_294(
iconst_2,
o43,
a6,
o18,
o6,
iconst_1,
i13,
iconst_0,
i8,
env,
static) :|:
0 <=
o43 &&
0 <
o6 &&
iconst_1 =
1 &&
2 <=
i13 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2random_FieldAccess_294(
iconst_2,
o43,
a6,
o18,
o6,
iconst_1,
i13,
iconst_0,
i8,
env,
static) -{1,1}>
random_Load_297(
o43,
a6,
o18,
o6,
iconst_2,
i13,
iconst_0,
i8,
env,
static') :|:
0 <=
o43 &&
0 <
o6 &&
iconst_1 =
1 &&
2 <=
i13 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <=
static &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2 &&
static' <=
static +
iconst_2random_Load_297(
o43,
a6,
o18,
o6,
iconst_2,
i13,
iconst_0,
i8,
env,
static) -{1,1}>
random_InvokeMethod_300(
o43,
a6,
o18,
o6,
iconst_2,
i13,
iconst_0,
i8,
env,
static) :|:
0 <=
o43 &&
0 <
o6 &&
2 <=
i13 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2random_InvokeMethod_300(
o83,
a6,
o18,
o6,
iconst_2,
i13,
iconst_0,
i8,
env,
static) -{0,0}>
random_InvokeMethod_302(
o83,
a6,
o18,
o6,
iconst_2,
i13,
iconst_0,
i8,
env,
static) :|:
0 <
o6 &&
0 <
o83 &&
2 <=
i13 &&
iconst_0 =
0 &&
0 <=
o83 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2random_InvokeMethod_302(
o83,
a6,
o18,
o6,
iconst_2,
i13,
iconst_0,
i8,
env,
static) -{1,1}>
random_Return_306(
i42,
a6,
o18,
o6,
iconst_2,
i13,
iconst_0,
i8,
env,
static) :|:
0 <
o6 &&
0 <
o83 &&
i42 <=
o83 &&
2 <=
i13 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
i42 &&
iconst_2 =
2random_Return_306(
i42,
a6,
o18,
o6,
iconst_2,
i13,
iconst_0,
i8,
env,
static) -{1,1}>
main_FieldAccess_310(
a6,
o18,
i42,
o6,
iconst_2,
i13,
iconst_0,
i8,
env,
static) :|:
0 <
o6 &&
2 <=
i13 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
i42 &&
iconst_2 =
2main_FieldAccess_310(
a6,
o18,
i42,
o6,
iconst_2,
i13,
iconst_0,
i8,
env,
static) -{1,1}>
main_Load_312(
a6,
o6,
o18',
iconst_2,
i13,
i8,
i42,
env,
static) :|:
0 <
o6 &&
o18' <=
o18 +
i42 &&
0 <
o18' &&
2 <=
i13 &&
iconst_0 =
0 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
i42 &&
iconst_2 =
2 &&
o18 <=
o18'main_Load_312(
a6,
o6,
o18,
iconst_2,
i13,
i8,
i42,
env,
static) -{1,1}>
main_Load_314(
a6,
o6,
o18,
iconst_2,
i13,
i8,
i42,
env,
static) :|:
0 <
o6 &&
2 <=
i13 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2 &&
0 <=
i42main_Load_314(
a6,
o6,
o18,
iconst_2,
i13,
i8,
i42,
env,
static) -{1,1}>
main_InvokeMethod_317(
a6,
o6,
o18,
iconst_2,
i13,
i8,
i42,
env,
static) :|:
0 <
o6 &&
2 <=
i13 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2 &&
0 <=
i42main_InvokeMethod_317(
a6,
o6,
o18,
iconst_2,
i13,
i8,
i42,
env,
static) -{1,1}>
count_Load_319(
o6,
o18,
a6,
iconst_2,
i8,
i42,
i13,
env,
static) :|:
0 <
o6 &&
2 <=
i13 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2 &&
0 <=
i42count_Load_319(
o6,
o18,
a6,
iconst_2,
i8,
i42,
i13,
env,
static) -{1,1}>
count_NULL_323(
o6,
o18,
a6,
iconst_2,
i8,
i42,
i13,
env,
static) :|:
0 <
o6 &&
2 <=
i13 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2 &&
0 <=
i42count_NULL_323(
o6,
o18,
a6,
iconst_2,
i8,
i42,
i13,
env,
static) -{1,1}>
count_Load_326(
o6,
o18,
a6,
iconst_2,
i8,
i42,
i13,
env,
static) :|:
0 <
o6 &&
2 <=
i13 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2 &&
0 <=
i42count_Load_326(
o6,
o18,
a6,
iconst_2,
i8,
i42,
i13,
env,
static) -{1,1}>
count_NONNULL_328(
o18,
o6,
a6,
iconst_2,
i42,
i8,
i13,
env,
static) :|:
0 <
o6 &&
2 <=
i13 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2 &&
0 <=
i42count_NONNULL_328(
o18,
o6,
a6,
iconst_2,
i42,
i8,
i13,
env,
static) -{1,1}>
count_Load_331(
o6,
o18,
a6,
iconst_2,
i8,
i42,
i13,
env,
static) :|:
0 <
o6 &&
2 <=
i13 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2 &&
0 <=
i42count_Load_331(
o6,
o18,
a6,
iconst_2,
i8,
i42,
i13,
env,
static) -{1,1}>
count_Store_334(
o6,
o18,
a6,
iconst_2,
i8,
i42,
i13,
env,
static) :|:
0 <
o6 &&
2 <=
i13 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2 &&
0 <=
i42count_Store_334(
o6,
o18,
a6,
iconst_2,
i8,
i42,
i13,
env,
static) -{1,1}>
count_Load_336(
o6,
o18,
a6,
iconst_2,
i8,
i42,
i13,
env,
static) :|:
0 <
o6 &&
2 <=
i13 &&
0 <
o18 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2 &&
0 <=
i42obtained
count_Load_336(o6, o18, a6, 2, i8, i42, i13, env, static) -{12,12}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 1 <= i42 && 0 < o6'1 && 0 < o6
by chaining
count_Load_336(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_FieldAccess_339(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_FieldAccess_339(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Load_342(i8, o6, o18, a6, iconst_2, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_Load_342(i8, o6, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_FieldAccess_345(i8, o18, o6, a6, iconst_2, i42, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_FieldAccess_345(i8, o18, o6, a6, iconst_2, i42, i13, env, static) -{1,1}> count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i42
count_GE_348(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{0,0}> count_GE_354(i8, i42, o6, o18, a6, iconst_2, i13, env, static) :|: 0 < o6 && 2 <= i13 && i8 < i42 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
count_GE_354(i8, i42, o6, o18, a6, iconst_2, i13, env, static) -{1,1}> count_Load_375(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && i8 < i42 && 0 < o18 && 0 < a6 && 0 <= i8 && 0 <= i42 && iconst_2 = 2
count_Load_375(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_Duplicate_392(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_Duplicate_392(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_FieldAccess_397(o6, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_FieldAccess_397(o6, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_ConstantStackPush_404(o6, i8, o18, a6, iconst_2, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_ConstantStackPush_404(o6, i8, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_IntArithmetic_408(o6, i8, iconst_1, o18, a6, iconst_2, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && iconst_1 = 1 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2
count_IntArithmetic_408(o6, i8, iconst_1, o18, a6, iconst_2, i42, i13, env, static) -{1,1}> count_FieldAccess_414(o6, i49, o18, a6, iconst_2, i8, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && i8 + iconst_1 = i49 && iconst_1 = 1 && 2 <= i13 && 0 < o18 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 1 <= i49
count_FieldAccess_414(o6, i49, o18, a6, iconst_2, i8, i42, i13, env, static) -{1,1}> count_JMP_418(o6', o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o6' && 0 < o18 && 0 < a6 && 0 <= i8 && o6 < o6' && iconst_2 = 2 && o6' <= o6 + i49 && 1 <= i49
count_JMP_418(o6, o18, a6, iconst_2, i49, i42, i13, env, static) -{1,1}> count_Load_422(o6, o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 2 <= i13 && 0 < o18 && 0 < a6 && iconst_2 = 2 && 1 <= i49
count_Load_422(o6, o18, a6, iconst_2, i49, i42, i13, env, static) -{0,0}> count_Load_336(o6, o18, a6, iconst_2, i49, i42, i13, env, static) :|: 1 <= i42 && 0 < o6 && 0 <= i49 && 2 <= i13 && 0 < o18 && 0 < a6 && iconst_2 = 2 && 0 <= i42 && 1 <= i49
(34) Obligation:
IntTrs with 2 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, env, static) -{71,71}> count_Load_336(o6''', o18''', o2, 2, i8', i42', i5', env, static'5) :|: static'5 <= static'4 + 2 && 0 <= i42' && 1 <= o6''' && o10' < o2 && 0 <= i8' && 1 <= i5' && 0 < o2 && static'3 <= static'2 + o2 && 0 < o18''' && 0 <= o43' && 0 < o6''' && 2 <= i5' && static'2 <= static'1 + 0 && 0 <= static'4 && 0 < o10' && o2 <= static'4 && 0 <= 2 && i8' <= o10' && 0 <= o2 && o6''' <= 1 + i8' && i5' < o2 && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'4 <= 1 && 0 < o43' && o18''' <= 1 + i42' && 0 <= o10' && i42' <= o43' && 1 <= static'4 && o43' < o2 && 0 < 1 && 0 <= i5' && 0 <= static'3 && 0 <= static && 0 <= 1 && static'4 <= static'3 + 1 && 0 < 2 && 1 <= o18'''
count_Load_336(o6, o18, a6, 2, i8, i42, i13, env, static) -{12,12}> count_Load_336(o6'1, o18, a6, 2, i49', i42, i13, env, static) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 1 <= i42 && 0 < o6'1 && 0 < o6
(35) WeightedIntTrsUnneededArgumentFilterProof (CONCRETE UPPER BOUND(ID) transformation)
Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements:
main_Load_1(x1, x2, x3) → main_Load_1(x1, x3)
count_Load_336(x1, x2, x3, x4, x5, x6, x7, x8, x9) → count_Load_336(x1, x2, x3, x5, x6, x7)
(36) Obligation:
IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, static) -{71,71}> count_Load_336(o6''', o18''', o2, i8', i42', i5') :|: static'5 <= static'4 + 2 && 0 <= i42' && 1 <= o6''' && o10' < o2 && 0 <= i8' && 1 <= i5' && 0 < o2 && static'3 <= static'2 + o2 && 0 < o18''' && 0 <= o43' && 0 < o6''' && 2 <= i5' && static'2 <= static'1 + 0 && 0 <= static'4 && 0 < o10' && o2 <= static'4 && 0 <= 2 && i8' <= o10' && 0 <= o2 && o6''' <= 1 + i8' && i5' < o2 && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'4 <= 1 && 0 < o43' && o18''' <= 1 + i42' && 0 <= o10' && i42' <= o43' && 1 <= static'4 && o43' < o2 && 0 < 1 && 0 <= i5' && 0 <= static'3 && 0 <= static && 0 <= 1 && static'4 <= static'3 + 1 && 0 < 2 && 1 <= o18'''
count_Load_336(o6, o18, a6, i8, i42, i13) -{12,12}> count_Load_336(o6'1, o18, a6, i49', i42, i13) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 1 <= i42 && 0 < o6'1 && 0 < o6
(37) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Moved arithmethic from constraints to rhss.
count_Load_336(o6, o18, a6, i8, i42, i13) -{12,12}> count_Load_336(o6'1, o18, a6, i49', i42, i13) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 1 <= i42 && 0 < o6'1 && 0 < o6
was transformed to
count_Load_336(o6, o18, a6, i8, i42, i13) -{12,12}> count_Load_336(o6'1, o18, a6, i8 + 1, i42, i13) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 1 <= i42 && 0 < o6'1 && 0 < o6
(38) Obligation:
IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, static) -{71,71}> count_Load_336(o6''', o18''', o2, i8', i42', i5') :|: static'5 <= static'4 + 2 && 0 <= i42' && 1 <= o6''' && o10' < o2 && 0 <= i8' && 1 <= i5' && 0 < o2 && static'3 <= static'2 + o2 && 0 < o18''' && 0 <= o43' && 0 < o6''' && 2 <= i5' && static'2 <= static'1 + 0 && 0 <= static'4 && 0 < o10' && o2 <= static'4 && 0 <= 2 && i8' <= o10' && 0 <= o2 && o6''' <= 1 + i8' && i5' < o2 && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'4 <= 1 && 0 < o43' && o18''' <= 1 + i42' && 0 <= o10' && i42' <= o43' && 1 <= static'4 && o43' < o2 && 0 < 1 && 0 <= i5' && 0 <= static'3 && 0 <= static && 0 <= 1 && static'4 <= static'3 + 1 && 0 < 2 && 1 <= o18'''
count_Load_336(o6, o18, a6, i8, i42, i13) -{12,12}> count_Load_336(o6'1, o18, a6, i8 + 1, i42, i13) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 1 <= i42 && 0 < o6'1 && 0 < o6
(39) ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Simplified expressions.
main_Load_1(o2, static) -{71,71}> count_Load_336(o6''', o18''', o2, i8', i42', i5') :|: static'5 <= static'4 + 2 && 0 <= i42' && 1 <= o6''' && o10' < o2 && 0 <= i8' && 1 <= i5' && 0 < o2 && static'3 <= static'2 + o2 && 0 < o18''' && 0 <= o43' && 0 < o6''' && 2 <= i5' && static'2 <= static'1 + 0 && 0 <= static'4 && 0 < o10' && o2 <= static'4 && 0 <= 2 && i8' <= o10' && 0 <= o2 && o6''' <= 1 + i8' && i5' < o2 && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'4 <= 1 && 0 < o43' && o18''' <= 1 + i42' && 0 <= o10' && i42' <= o43' && 1 <= static'4 && o43' < o2 && 0 < 1 && 0 <= i5' && 0 <= static'3 && 0 <= static && 0 <= 1 && static'4 <= static'3 + 1 && 0 < 2 && 1 <= o18'''
was transformed to
main_Load_1(o2, static) -{71,71}> count_Load_336(o6''', o18''', o2, i8', i42', i5') :|: static'5 <= static'4 + 2 && 0 <= i42' && 1 <= o6''' && o10' < o2 && 0 <= i8' && 1 <= i5' && 0 < o2 && static'3 <= static'2 + o2 && 0 < o18''' && 0 < o6''' && 2 <= i5' && static'2 <= static'1 && 0 <= static'4 && 0 < o10' && o2 <= static'4 && i8' <= o10' && o6''' <= 1 + i8' && i5' < o2 && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'4 <= 1 && 0 < o43' && o18''' <= 1 + i42' && i42' <= o43' && 1 <= static'4 && o43' < o2 && 0 <= i5' && 0 <= static'3 && 0 <= static && static'4 <= static'3 + 1 && 1 <= o18'''
(40) Obligation:
IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, static) -{71,71}> count_Load_336(o6''', o18''', o2, i8', i42', i5') :|: static'5 <= static'4 + 2 && 0 <= i42' && 1 <= o6''' && o10' < o2 && 0 <= i8' && 1 <= i5' && 0 < o2 && static'3 <= static'2 + o2 && 0 < o18''' && 0 < o6''' && 2 <= i5' && static'2 <= static'1 && 0 <= static'4 && 0 < o10' && o2 <= static'4 && i8' <= o10' && o6''' <= 1 + i8' && i5' < o2 && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'4 <= 1 && 0 < o43' && o18''' <= 1 + i42' && i42' <= o43' && 1 <= static'4 && o43' < o2 && 0 <= i5' && 0 <= static'3 && 0 <= static && static'4 <= static'3 + 1 && 1 <= o18'''
count_Load_336(o6, o18, a6, i8, i42, i13) -{12,12}> count_Load_336(o6'1, o18, a6, i8 + 1, i42, i13) :|: i8 + 1 = i49' && 1 <= i49' && i8 < i42 && 0 <= i42 && o6'1 <= o6 + i49' && 0 < a6 && o6 < o6'1 && 0 < o18 && 0 <= i8 && 2 <= i13 && 0 <= i49' && 1 <= i42 && 0 < o6'1 && 0 < o6
(41) koat Proof (EQUIVALENT transformation)
YES(?, 12*ar_0 + 71)
Initial complexity problem:
1: T:
(Comp: ?, Cost: 71) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(count_Load_336(o6''', o18''', ar_0, i8', i42', i5')) [ static'5 <= static'4 + 2 /\ 0 <= i42' /\ 1 <= o6''' /\ o10' < ar_0 /\ 0 <= i8' /\ 1 <= i5' /\ 0 < ar_0 /\ static'3 <= static'2 + ar_0 /\ 0 < o18''' /\ 0 < o6''' /\ 2 <= i5' /\ static'2 <= static'1 /\ 0 <= static'4 /\ 0 < o10' /\ ar_0 <= static'4 /\ i8' <= o10' /\ o6''' <= i8' + 1 /\ i5' < ar_0 /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ -static'4 <= 1 /\ 0 < o43' /\ o18''' <= i42' + 1 /\ i42' <= o43' /\ 1 <= static'4 /\ o43' < ar_0 /\ 0 <= i5' /\ 0 <= static'3 /\ 0 <= ar_1 /\ static'4 <= static'3 + 1 /\ 1 <= o18''' ]
(Comp: ?, Cost: 12) count_Load_336(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(count_Load_336(o6'1, ar_1, ar_2, ar_3 + 1, ar_4, ar_5)) [ ar_3 + 1 = i49' /\ 1 <= i49' /\ ar_3 < ar_4 /\ 0 <= ar_4 /\ o6'1 <= ar_0 + i49' /\ 0 < ar_2 /\ ar_0 < o6'1 /\ 0 < ar_1 /\ 0 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i49' /\ 1 <= ar_4 /\ 0 < o6'1 /\ 0 < ar_0 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0
Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: 1, Cost: 71) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(count_Load_336(o6''', o18''', ar_0, i8', i42', i5')) [ static'5 <= static'4 + 2 /\ 0 <= i42' /\ 1 <= o6''' /\ o10' < ar_0 /\ 0 <= i8' /\ 1 <= i5' /\ 0 < ar_0 /\ static'3 <= static'2 + ar_0 /\ 0 < o18''' /\ 0 < o6''' /\ 2 <= i5' /\ static'2 <= static'1 /\ 0 <= static'4 /\ 0 < o10' /\ ar_0 <= static'4 /\ i8' <= o10' /\ o6''' <= i8' + 1 /\ i5' < ar_0 /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ -static'4 <= 1 /\ 0 < o43' /\ o18''' <= i42' + 1 /\ i42' <= o43' /\ 1 <= static'4 /\ o43' < ar_0 /\ 0 <= i5' /\ 0 <= static'3 /\ 0 <= ar_1 /\ static'4 <= static'3 + 1 /\ 1 <= o18''' ]
(Comp: ?, Cost: 12) count_Load_336(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(count_Load_336(o6'1, ar_1, ar_2, ar_3 + 1, ar_4, ar_5)) [ ar_3 + 1 = i49' /\ 1 <= i49' /\ ar_3 < ar_4 /\ 0 <= ar_4 /\ o6'1 <= ar_0 + i49' /\ 0 < ar_2 /\ ar_0 < o6'1 /\ 0 < ar_1 /\ 0 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i49' /\ 1 <= ar_4 /\ 0 < o6'1 /\ 0 < ar_0 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0
A polynomial rank function with
Pol(main_Load_1) = V_1
Pol(count_Load_336) = -V_4 + V_5
Pol(koat_start) = V_1
orients all transitions weakly and the transition
count_Load_336(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(count_Load_336(o6'1, ar_1, ar_2, ar_3 + 1, ar_4, ar_5)) [ ar_3 + 1 = i49' /\ 1 <= i49' /\ ar_3 < ar_4 /\ 0 <= ar_4 /\ o6'1 <= ar_0 + i49' /\ 0 < ar_2 /\ ar_0 < o6'1 /\ 0 < ar_1 /\ 0 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i49' /\ 1 <= ar_4 /\ 0 < o6'1 /\ 0 < ar_0 ]
strictly and produces the following problem:
3: T:
(Comp: 1, Cost: 71) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(count_Load_336(o6''', o18''', ar_0, i8', i42', i5')) [ static'5 <= static'4 + 2 /\ 0 <= i42' /\ 1 <= o6''' /\ o10' < ar_0 /\ 0 <= i8' /\ 1 <= i5' /\ 0 < ar_0 /\ static'3 <= static'2 + ar_0 /\ 0 < o18''' /\ 0 < o6''' /\ 2 <= i5' /\ static'2 <= static'1 /\ 0 <= static'4 /\ 0 < o10' /\ ar_0 <= static'4 /\ i8' <= o10' /\ o6''' <= i8' + 1 /\ i5' < ar_0 /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ -static'4 <= 1 /\ 0 < o43' /\ o18''' <= i42' + 1 /\ i42' <= o43' /\ 1 <= static'4 /\ o43' < ar_0 /\ 0 <= i5' /\ 0 <= static'3 /\ 0 <= ar_1 /\ static'4 <= static'3 + 1 /\ 1 <= o18''' ]
(Comp: ar_0, Cost: 12) count_Load_336(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(count_Load_336(o6'1, ar_1, ar_2, ar_3 + 1, ar_4, ar_5)) [ ar_3 + 1 = i49' /\ 1 <= i49' /\ ar_3 < ar_4 /\ 0 <= ar_4 /\ o6'1 <= ar_0 + i49' /\ 0 < ar_2 /\ ar_0 < o6'1 /\ 0 < ar_1 /\ 0 <= ar_3 /\ 2 <= ar_5 /\ 0 <= i49' /\ 1 <= ar_4 /\ 0 < o6'1 /\ 0 < ar_0 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0
Complexity upper bound 12*ar_0 + 71
Time: 0.328 sec (SMT: 0.291 sec)
(42) BOUNDS(CONSTANT, 71 + 12 * |args|)