(0) Obligation:
Need to prove time_complexity of the following program:
/**
* Example taken from "A Term Rewriting Approach to the Automated Termination
* Analysis of Imperative Programs" (http://www.cs.unm.edu/~spf/papers/2009-02.pdf)
* and converted to Java.
*/
public class PastaA6 {
public static void main(String[] args) {
Random.args = args;
int x = Random.random();
int y = Random.random();
int z = Random.random();
while (x > y + z) {
y++;
z++;
}
}
}
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:
PastaA6.main([Ljava/lang/String;)V: Graph of 233 nodes with 1 SCC.
(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(137)) transformation)
Extracted set of 93 edges for the analysis of TIME complexity. Kept leaves.
(4) Obligation:
Set of 93 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 93 jbc graph edges to a weighted ITS with 93 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.
(6) Obligation:
IntTrs with 93 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_9(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_9(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_12(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_12(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_13(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_13(o1, env, static) -{0,0}> langle_clinit_rangle_New_14(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_14(o1, env, static) -{0,0}> langle_clinit_rangle_New_15(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_15(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_16(o3, o1, env, static) :|: o3 = 1 && 0 < o3 && 0 < o1
langle_clinit_rangle_Duplicate_16(o3, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_17(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_ConstantStackPush_17(o3, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_18(o3, NULL, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_clinit_rangle_InvokeMethod_18(o3, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_19(o3, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_init_rangle_Load_19(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_20(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_20(o3, o1, env, static) -{1,1}> langle_init_rangle_Load_21(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Load_21(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_22(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_22(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_26(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_26(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_29(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_29(o3, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_31(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_FieldAccess_31(o3, o1, env, static) -{1,1}> langle_clinit_rangle_Return_34(o1, env, static') :|: 0 < o3 && 0 <= o3 && 0 <= static && 0 < o1 && static' <= static + o3
langle_clinit_rangle_Return_34(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{1,1}> main_FieldAccess_51(o1, env, static) :|: 0 < o1
main_FieldAccess_51(o1, env, static) -{0,0}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_61(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_64(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_64(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_84(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_84(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_106(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_111(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_111(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_134(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_134(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_160(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_160(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_169(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_169(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_173(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_173(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_179(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_179(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_186(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_186(o48, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_193(o48, a6, i8, iconst_2, i12, env, static) :|: 0 < o48 && 2 <= i12 && 0 <= o48 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_193(o48, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_205(i20, a6, i8, iconst_2, i12, env, static) :|: 0 < o48 && 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o48 && iconst_2 = 2
random_Return_205(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_219(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_219(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_229(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_229(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_241(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_241(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_260(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i20 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_260(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_274(a6, iconst_2, i8, i20, i12, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_274(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_288(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_274(a6, iconst_2, i8, i20, i32, env, static) -{0,0}> random_ArrayAccess_290(a6, iconst_2, i8, i20, i32, env, static) :|: 2 <= i32 && 0 <= i20 && 3 <= i32 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_290(a6, iconst_2, i8, i20, i32, env, static) -{1,1}> random_Store_298(o94, a6, i8, i20, iconst_2, i32, env, static) :|: 0 <= i20 && 3 <= i32 && o94 < a6 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_Store_298(o94, a6, i8, i20, iconst_2, i32, env, static) -{1,1}> random_FieldAccess_311(o94, a6, i8, i20, iconst_2, i32, env, static) :|: 0 <= i20 && 3 <= i32 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_FieldAccess_311(o94, a6, i8, i20, iconst_2, i32, env, static) -{1,1}> random_ConstantStackPush_335(iconst_2, o94, a6, i8, i20, i32, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 3 <= i32 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_ConstantStackPush_335(iconst_2, o94, a6, i8, i20, i32, env, static) -{1,1}> random_IntArithmetic_339(iconst_2, iconst_1, o94, a6, i8, i20, i32, env, static) :|: 0 <= i20 && 3 <= i32 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_IntArithmetic_339(iconst_2, iconst_1, o94, a6, i8, i20, i32, env, static) -{1,1}> random_FieldAccess_341(iconst_3, o94, a6, i8, i20, iconst_2, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_FieldAccess_341(iconst_3, o94, a6, i8, i20, iconst_2, i32, env, static) -{1,1}> random_Load_345(o94, a6, i8, i20, iconst_3, i32, env, static') :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_345(o94, a6, i8, i20, iconst_3, i32, env, static) -{1,1}> random_InvokeMethod_349(o94, a6, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 < a6 && 0 <= i8 && 0 <= o94
random_InvokeMethod_349(o191, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_352(o191, a6, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(NULL, a6, i8, i20, iconst_3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_352(o191, a6, i8, i20, iconst_3, i32, env, static) -{1,1}> random_Return_357(i89, a6, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && i89 <= o191 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_357(i89, a6, i8, i20, iconst_3, i32, env, static) -{1,1}> main_Store_362(a6, i89, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Store_362(a6, i89, i8, i20, iconst_3, i32, env, static) -{1,1}> main_Load_366(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Load_366(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Load_370(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Load_370(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Load_375(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Load_375(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_IntArithmetic_378(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_IntArithmetic_378(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i20 + i89 = i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_386(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && 3 <= i32 && i98 < i8 && 0 <= i89 && 0 < a6 && 0 <= i8
main_LE_386(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Inc_396(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && 3 <= i32 && i98 < i8 && 1 <= i8 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Inc_396(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Inc_402(a6, i8, i99, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && i20 + 1 = i99 && 3 <= i32 && 1 <= i8 && 0 <= i89 && 0 < a6 && 1 <= i99
main_Inc_402(a6, i8, i99, i89, iconst_3, i32, env, static) -{1,1}> main_JMP_407(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 0 <= i89 && 1 <= i100 && i89 + 1 = i100 && 0 < a6 && 1 <= i99
main_JMP_407(a6, i8, i99, i100, iconst_3, i32, env, static) -{1,1}> main_Load_410(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 1 <= i100 && 0 < a6 && 1 <= i99
main_Load_410(a6, i8, i99, i100, iconst_3, i32, env, static) -{0,0}> main_Load_366(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 0 <= i100 && 1 <= i100 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99
(7) StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
obtained
main_Load_1(
o1,
env,
static) -{23,23}>
random_ArrayAccess_70(
o1,
0,
i4',
env,
static'3) :|:
static'1 <=
static''' +
1 &&
i4' <
o1 &&
0 <=
2 &&
0 <
o1 &&
0 <=
static'2 &&
0 <=
i4' &&
static'2 <=
static'1 +
0 &&
0 <=
o1 &&
o1 <=
static'3 &&
static''' <=
static +
2 &&
0 <=
static'1 &&
static'3 <=
static'2 +
o1 &&
0 <=
static &&
-1 *
static'3 <=
0 &&
0 <=
static''' &&
0 <
2 &&
0 <=
static'3 &&
0 <
1 &&
0 <=
1by chaining
main_Load_1(
o1,
env,
static) -{0,0}>
main_Load_4(
o1,
env,
static) :|:
0 <
o1main_Load_4(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_6(
o1,
env,
static) :|:
0 <
o1langle_clinit_rangle_ConstantStackPush_6(
o1,
env,
static) -{1,1}>
langle_clinit_rangle_ArrayCreate_9(
iconst_0,
o1,
env,
static) :|:
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_ArrayCreate_9(
iconst_0,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_12(
a2,
o1,
iconst_0,
env,
static) :|:
a2 =
2 &&
iconst_0 =
0 &&
0 <
a2 &&
0 <
o1langle_clinit_rangle_FieldAccess_12(
a2,
o1,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_New_13(
o1,
env,
static') :|:
0 <=
a2 &&
iconst_0 =
0 &&
static' <=
static +
a2 &&
0 <=
static &&
0 <
a2 &&
0 <
o1langle_clinit_rangle_New_13(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_New_14(
o1,
env,
static) :|:
0 <
o1langle_clinit_rangle_New_14(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_New_15(
o1,
env,
static) :|:
0 <=
static &&
0 <
o1langle_clinit_rangle_New_15(
o1,
env,
static) -{1,1}>
langle_clinit_rangle_Duplicate_16(
o3,
o1,
env,
static) :|:
o3 =
1 &&
0 <
o3 &&
0 <
o1langle_clinit_rangle_Duplicate_16(
o3,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_ConstantStackPush_17(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_clinit_rangle_ConstantStackPush_17(
o3,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_InvokeMethod_18(
o3,
NULL,
o1,
env,
static) :|:
NULL =
0 &&
0 <
o3 &&
0 <
o1langle_clinit_rangle_InvokeMethod_18(
o3,
NULL,
o1,
env,
static) -{1,1}>
langle_init_rangle_Load_19(
o3,
o1,
env,
static) :|:
NULL =
0 &&
0 <
o3 &&
0 <
o1langle_init_rangle_Load_19(
o3,
o1,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_20(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_init_rangle_InvokeMethod_20(
o3,
o1,
env,
static) -{1,1}>
langle_init_rangle_Load_21(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_init_rangle_Load_21(
o3,
o1,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_22(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_init_rangle_InvokeMethod_22(
o3,
o1,
env,
static) -{1,1}>
langle_init_rangle_Return_26(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_init_rangle_Return_26(
o3,
o1,
env,
static) -{1,1}>
langle_init_rangle_Return_29(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_init_rangle_Return_29(
o3,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_31(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_clinit_rangle_FieldAccess_31(
o3,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_Return_34(
o1,
env,
static') :|:
0 <
o3 &&
0 <=
o3 &&
0 <=
static &&
0 <
o1 &&
static' <=
static +
o3langle_clinit_rangle_Return_34(
o1,
env,
static) -{1,1}>
main_Load_41(
o1,
env,
static) :|:
0 <
o1main_Load_41(
o1,
env,
static) -{0,0}>
main_Load_42(
o1,
env,
static) :|:
0 <
o1main_Load_42(
o1,
env,
static) -{0,0}>
main_Load_44(
o1,
env,
static) :|:
0 <=
static &&
0 <
o1main_Load_44(
o1,
env,
static) -{0,0}>
main_Load_46(
o1,
env,
static) :|:
0 <
o1main_Load_46(
o1,
env,
static) -{0,0}>
main_Load_48(
o1,
env,
static) :|:
0 <
o1main_Load_48(
o1,
env,
static) -{1,1}>
main_FieldAccess_51(
o1,
env,
static) :|:
0 <
o1main_FieldAccess_51(
o1,
env,
static) -{0,0}>
main_FieldAccess_53(
o1,
env,
static) :|:
0 <
o1main_FieldAccess_53(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_55(
o1,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_ConstantStackPush_55(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_57(
iconst_0,
o1,
NULL,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_FieldAccess_57(
iconst_0,
o1,
NULL,
env,
static) -{1,1}>
langle_clinit_rangle_Return_60(
o1,
NULL,
iconst_0,
env,
static') :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <=
static &&
static' <=
static +
iconst_0 &&
0 <
o1langle_clinit_rangle_Return_60(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
main_FieldAccess_61(
o1,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1main_FieldAccess_61(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
main_InvokeMethod_64(
o1,
iconst_0,
env,
static') :|:
static' <=
static +
o1 &&
NULL =
0 &&
0 <=
o1 &&
iconst_0 =
0 &&
0 <=
static &&
0 <
o1main_InvokeMethod_64(
o1,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_66(
o1,
iconst_0,
env,
static) :|:
iconst_0 =
0 &&
0 <
o1random_FieldAccess_66(
o1,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_67(
o1,
iconst_0,
env,
static) :|:
0 <=
o1 &&
o1 <=
static &&
iconst_0 =
0 &&
0 <=
static &&
0 <
o1random_FieldAccess_67(
o1,
iconst_0,
env,
static) -{1,1}>
random_ArrayAccess_69(
o1,
iconst_0,
env,
static) :|:
-1 *
static <=
iconst_0 &&
iconst_0 =
0 &&
0 <=
static &&
iconst_0 <=
static &&
0 <
o1random_ArrayAccess_69(
a6,
iconst_0,
env,
static) -{0,0}>
random_ArrayAccess_70(
a6,
iconst_0,
i4,
env,
static) :|:
0 <=
i4 &&
iconst_0 =
0 &&
0 <
a6 &&
i4 <
a6obtained
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_84(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_84(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
obtained
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
by chaining
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_106(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_111(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_111(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_134(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_134(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
obtained
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_160(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_160(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_169(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_169(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_173(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_173(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_179(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_179(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_186(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
obtained
random_InvokeMethod_186(o48, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48
by chaining
random_InvokeMethod_186(o48, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_193(o48, a6, i8, iconst_2, i12, env, static) :|: 0 < o48 && 2 <= i12 && 0 <= o48 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_193(o48, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_205(i20, a6, i8, iconst_2, i12, env, static) :|: 0 < o48 && 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o48 && iconst_2 = 2
random_Return_205(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_219(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_219(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_229(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_229(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_241(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_241(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_260(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i20 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_260(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_274(a6, iconst_2, i8, i20, i12, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
obtained
random_ArrayAccess_274(a6, 2, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3
by chaining
random_ArrayAccess_274(a6, iconst_2, i8, i20, i32, env, static) -{0,0}> random_ArrayAccess_290(a6, iconst_2, i8, i20, i32, env, static) :|: 2 <= i32 && 0 <= i20 && 3 <= i32 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_290(a6, iconst_2, i8, i20, i32, env, static) -{1,1}> random_Store_298(o94, a6, i8, i20, iconst_2, i32, env, static) :|: 0 <= i20 && 3 <= i32 && o94 < a6 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_Store_298(o94, a6, i8, i20, iconst_2, i32, env, static) -{1,1}> random_FieldAccess_311(o94, a6, i8, i20, iconst_2, i32, env, static) :|: 0 <= i20 && 3 <= i32 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_FieldAccess_311(o94, a6, i8, i20, iconst_2, i32, env, static) -{1,1}> random_ConstantStackPush_335(iconst_2, o94, a6, i8, i20, i32, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 3 <= i32 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_ConstantStackPush_335(iconst_2, o94, a6, i8, i20, i32, env, static) -{1,1}> random_IntArithmetic_339(iconst_2, iconst_1, o94, a6, i8, i20, i32, env, static) :|: 0 <= i20 && 3 <= i32 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_IntArithmetic_339(iconst_2, iconst_1, o94, a6, i8, i20, i32, env, static) -{1,1}> random_FieldAccess_341(iconst_3, o94, a6, i8, i20, iconst_2, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_FieldAccess_341(iconst_3, o94, a6, i8, i20, iconst_2, i32, env, static) -{1,1}> random_Load_345(o94, a6, i8, i20, iconst_3, i32, env, static') :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_345(o94, a6, i8, i20, iconst_3, i32, env, static) -{1,1}> random_InvokeMethod_349(o94, a6, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 < a6 && 0 <= i8 && 0 <= o94
obtained
random_InvokeMethod_349(o191, a6, i8, i20, 3, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191
by chaining
random_InvokeMethod_349(o191, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_352(o191, a6, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_352(o191, a6, i8, i20, iconst_3, i32, env, static) -{1,1}> random_Return_357(i89, a6, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && i89 <= o191 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_357(i89, a6, i8, i20, iconst_3, i32, env, static) -{1,1}> main_Store_362(a6, i89, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Store_362(a6, i89, i8, i20, iconst_3, i32, env, static) -{1,1}> main_Load_366(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
obtained
main_Load_366(a6, i8, i20, i89, 3, i32, env, static) -{4,4}> main_LE_381(a6, i8, i98', i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98'
by chaining
main_Load_366(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Load_370(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Load_370(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Load_375(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Load_375(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_IntArithmetic_378(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_IntArithmetic_378(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i20 + i89 = i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
obtained
main_LE_381(a6, i8, i98, i20, i89, 3, i32, env, static) -{4,4}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98
by chaining
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_386(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && 3 <= i32 && i98 < i8 && 0 <= i89 && 0 < a6 && 0 <= i8
main_LE_386(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Inc_396(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && 3 <= i32 && i98 < i8 && 1 <= i8 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Inc_396(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Inc_402(a6, i8, i99, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && i20 + 1 = i99 && 3 <= i32 && 1 <= i8 && 0 <= i89 && 0 < a6 && 1 <= i99
main_Inc_402(a6, i8, i99, i89, iconst_3, i32, env, static) -{1,1}> main_JMP_407(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 0 <= i89 && 1 <= i100 && i89 + 1 = i100 && 0 < a6 && 1 <= i99
main_JMP_407(a6, i8, i99, i100, iconst_3, i32, env, static) -{1,1}> main_Load_410(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 1 <= i100 && 0 < a6 && 1 <= i99
main_Load_410(a6, i8, i99, i100, iconst_3, i32, env, static) -{0,0}> main_Load_366(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 0 <= i100 && 1 <= i100 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99
(8) Obligation:
IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_186(o48, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48
random_ArrayAccess_274(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_288(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_274(a6, 2, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(NULL, a6, i8, i20, iconst_3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_349(o191, a6, i8, i20, 3, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191
main_Load_366(a6, i8, i20, i89, 3, i32, env, static) -{4,4}> main_LE_381(a6, i8, i98', i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98'
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_LE_381(a6, i8, i98, i20, i89, 3, i32, env, static) -{4,4}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98
(9) MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Moved arithmethic from lhss to constraints.
random_InvokeMethod_349(o191, a6, i8, i20, 3, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191
was transformed to
random_InvokeMethod_349(o191, a6, i8, i20, x, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191 && x = 3
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_381(a6, i8, i98, i20, i89, 3, i32, env, static) -{4,4}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98
was transformed to
main_LE_381(a6, i8, i98, i20, i89, x, i32, env, static) -{4,4}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98 && x = 3
random_ArrayAccess_274(a6, 2, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3
was transformed to
random_ArrayAccess_274(a6, x, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
main_Load_366(a6, i8, i20, i89, 3, i32, env, static) -{4,4}> main_LE_381(a6, i8, i98', i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98'
was transformed to
main_Load_366(a6, i8, i20, i89, x, i32, env, static) -{4,4}> main_LE_381(a6, i8, i98', i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98' && x = 3
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_InvokeMethod_186(o48, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48
was transformed to
random_InvokeMethod_186(o48, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48 && x = 2
(10) Obligation:
IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_349(o191, a6, i8, i20, x, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191 && x = 3
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(NULL, a6, i8, i20, iconst_3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_274(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_288(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_381(a6, i8, i98, i20, i89, x, i32, env, static) -{4,4}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98 && x = 3
random_ArrayAccess_274(a6, x, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
main_Load_366(a6, i8, i20, i89, x, i32, env, static) -{4,4}> main_LE_381(a6, i8, i98', i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98' && x = 3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
random_InvokeMethod_186(o48, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48 && x = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
(11) LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Linearized lhss.
random_ArrayAccess_274(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_288(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
was transformed to
random_ArrayAccess_274(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_288(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
(12) Obligation:
IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_381(a6, i8, i98, i20, i89, x, i32, env, static) -{4,4}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98 && x = 3
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(NULL, a6, i8, i20, iconst_3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_274(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_288(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_366(a6, i8, i20, i89, x, i32, env, static) -{4,4}> main_LE_381(a6, i8, i98', i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98' && x = 3
random_InvokeMethod_186(o48, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48 && x = 2
random_ArrayAccess_274(a6, x, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_349(o191, a6, i8, i20, x, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191 && x = 3
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
(13) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Moved arithmethic from constraints to rhss.
main_LE_381(a6, i8, i98, i20, i89, x, i32, env, static) -{4,4}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98 && x = 3
was transformed to
main_LE_381(a6, i8, i98, i20, i89, x, i32, env, static) -{4,4}> main_Load_366(a6, i8, i20 + 1, i89 + 1, 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98 && x = 3
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(NULL, a6, i8, i20, iconst_3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
was transformed to
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(0, a6, i8, i20, 3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_366(a6, i8, i20, i89, x, i32, env, static) -{4,4}> main_LE_381(a6, i8, i98', i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98' && x = 3
was transformed to
main_Load_366(a6, i8, i20, i89, x, i32, env, static) -{4,4}> main_LE_381(a6, i8, i20 + i89, i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98' && x = 3
random_ArrayAccess_274(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_288(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
was transformed to
random_ArrayAccess_274(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_288(a6, 2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
was transformed to
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, 3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
(14) Obligation:
IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_381(a6, i8, i98, i20, i89, x, i32, env, static) -{4,4}> main_Load_366(a6, i8, i20 + 1, i89 + 1, 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98 && x = 3
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(0, a6, i8, i20, 3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_366(a6, i8, i20, i89, x, i32, env, static) -{4,4}> main_LE_381(a6, i8, i20 + i89, i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98' && x = 3
random_ArrayAccess_274(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_288(a6, 2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_186(o48, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48 && x = 2
random_ArrayAccess_274(a6, x, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
random_InvokeMethod_349(o191, a6, i8, i20, x, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191 && x = 3
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, 3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
(15) ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Simplified expressions.
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_InvokeMethod_186(o48, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48 && x = 2
was transformed to
random_InvokeMethod_186(o48, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && i20' <= o48 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
was transformed to
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
random_InvokeMethod_349(o191, a6, i8, i20, x, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191 && x = 3
was transformed to
random_InvokeMethod_349(o191, a6, i8, i20, x, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191 && x = 3
(16) Obligation:
IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_274(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_288(a6, 2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
main_Load_366(a6, i8, i20, i89, x, i32, env, static) -{4,4}> main_LE_381(a6, i8, i20 + i89, i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98' && x = 3
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_InvokeMethod_186(o48, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && i20' <= o48 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_381(a6, i8, i98, i20, i89, x, i32, env, static) -{4,4}> main_Load_366(a6, i8, i20 + 1, i89 + 1, 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98 && x = 3
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_349(o191, a6, i8, i20, x, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191 && x = 3
random_ArrayAccess_274(a6, x, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(0, a6, i8, i20, 3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, 3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
(17) JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID) transformation)
Transformed 93 jbc graph edges to a weighted ITS with 93 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 93 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_9(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_9(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_12(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_12(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_13(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_13(o1, env, static) -{0,0}> langle_clinit_rangle_New_14(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_14(o1, env, static) -{0,0}> langle_clinit_rangle_New_15(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_15(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_16(o3, o1, env, static) :|: o3 = 1 && 0 < o3 && 0 < o1
langle_clinit_rangle_Duplicate_16(o3, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_17(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_ConstantStackPush_17(o3, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_18(o3, NULL, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_clinit_rangle_InvokeMethod_18(o3, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_19(o3, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_init_rangle_Load_19(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_20(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_20(o3, o1, env, static) -{1,1}> langle_init_rangle_Load_21(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Load_21(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_22(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_22(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_26(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_26(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_29(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_29(o3, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_31(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_FieldAccess_31(o3, o1, env, static) -{1,1}> langle_clinit_rangle_Return_34(o1, env, static') :|: 0 < o3 && 0 <= o3 && 0 <= static && 0 < o1 && static' <= static + o3
langle_clinit_rangle_Return_34(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{1,1}> main_FieldAccess_51(o1, env, static) :|: 0 < o1
main_FieldAccess_51(o1, env, static) -{0,0}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_61(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_64(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_64(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_84(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_84(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_106(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_111(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_111(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_134(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_134(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_160(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_160(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_169(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_169(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_173(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_173(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_179(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_179(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_186(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_186(o48, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_193(o48, a6, i8, iconst_2, i12, env, static) :|: 0 < o48 && 2 <= i12 && 0 <= o48 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_193(o48, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_205(i20, a6, i8, iconst_2, i12, env, static) :|: 0 < o48 && 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o48 && iconst_2 = 2
random_Return_205(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_219(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_219(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_229(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_229(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_241(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_241(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_260(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i20 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_260(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_274(a6, iconst_2, i8, i20, i12, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_274(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_288(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_274(a6, iconst_2, i8, i20, i32, env, static) -{0,0}> random_ArrayAccess_290(a6, iconst_2, i8, i20, i32, env, static) :|: 2 <= i32 && 0 <= i20 && 3 <= i32 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_290(a6, iconst_2, i8, i20, i32, env, static) -{1,1}> random_Store_298(o94, a6, i8, i20, iconst_2, i32, env, static) :|: 0 <= i20 && 3 <= i32 && o94 < a6 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_Store_298(o94, a6, i8, i20, iconst_2, i32, env, static) -{1,1}> random_FieldAccess_311(o94, a6, i8, i20, iconst_2, i32, env, static) :|: 0 <= i20 && 3 <= i32 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_FieldAccess_311(o94, a6, i8, i20, iconst_2, i32, env, static) -{1,1}> random_ConstantStackPush_335(iconst_2, o94, a6, i8, i20, i32, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 3 <= i32 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_ConstantStackPush_335(iconst_2, o94, a6, i8, i20, i32, env, static) -{1,1}> random_IntArithmetic_339(iconst_2, iconst_1, o94, a6, i8, i20, i32, env, static) :|: 0 <= i20 && 3 <= i32 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_IntArithmetic_339(iconst_2, iconst_1, o94, a6, i8, i20, i32, env, static) -{1,1}> random_FieldAccess_341(iconst_3, o94, a6, i8, i20, iconst_2, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_FieldAccess_341(iconst_3, o94, a6, i8, i20, iconst_2, i32, env, static) -{1,1}> random_Load_345(o94, a6, i8, i20, iconst_3, i32, env, static') :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_345(o94, a6, i8, i20, iconst_3, i32, env, static) -{1,1}> random_InvokeMethod_349(o94, a6, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 < a6 && 0 <= i8 && 0 <= o94
random_InvokeMethod_349(o191, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_352(o191, a6, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(NULL, a6, i8, i20, iconst_3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_352(o191, a6, i8, i20, iconst_3, i32, env, static) -{1,1}> random_Return_357(i89, a6, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && i89 <= o191 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_357(i89, a6, i8, i20, iconst_3, i32, env, static) -{1,1}> main_Store_362(a6, i89, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Store_362(a6, i89, i8, i20, iconst_3, i32, env, static) -{1,1}> main_Load_366(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Load_366(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Load_370(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Load_370(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Load_375(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Load_375(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_IntArithmetic_378(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_IntArithmetic_378(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i20 + i89 = i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_386(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && 3 <= i32 && i98 < i8 && 0 <= i89 && 0 < a6 && 0 <= i8
main_LE_386(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Inc_396(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && 3 <= i32 && i98 < i8 && 1 <= i8 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Inc_396(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Inc_402(a6, i8, i99, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && i20 + 1 = i99 && 3 <= i32 && 1 <= i8 && 0 <= i89 && 0 < a6 && 1 <= i99
main_Inc_402(a6, i8, i99, i89, iconst_3, i32, env, static) -{1,1}> main_JMP_407(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 0 <= i89 && 1 <= i100 && i89 + 1 = i100 && 0 < a6 && 1 <= i99
main_JMP_407(a6, i8, i99, i100, iconst_3, i32, env, static) -{1,1}> main_Load_410(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 1 <= i100 && 0 < a6 && 1 <= i99
main_Load_410(a6, i8, i99, i100, iconst_3, i32, env, static) -{0,0}> main_Load_366(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 0 <= i100 && 1 <= i100 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99
(19) StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
obtained
main_Load_1(
o1,
env,
static) -{23,23}>
random_ArrayAccess_70(
o1,
0,
i4',
env,
static'3) :|:
static'1 <=
static''' +
1 &&
i4' <
o1 &&
0 <=
2 &&
0 <
o1 &&
0 <=
static'2 &&
0 <=
i4' &&
static'2 <=
static'1 +
0 &&
0 <=
o1 &&
o1 <=
static'3 &&
static''' <=
static +
2 &&
0 <=
static'1 &&
static'3 <=
static'2 +
o1 &&
0 <=
static &&
-1 *
static'3 <=
0 &&
0 <=
static''' &&
0 <
2 &&
0 <=
static'3 &&
0 <
1 &&
0 <=
1by chaining
main_Load_1(
o1,
env,
static) -{0,0}>
main_Load_4(
o1,
env,
static) :|:
0 <
o1main_Load_4(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_6(
o1,
env,
static) :|:
0 <
o1langle_clinit_rangle_ConstantStackPush_6(
o1,
env,
static) -{1,1}>
langle_clinit_rangle_ArrayCreate_9(
iconst_0,
o1,
env,
static) :|:
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_ArrayCreate_9(
iconst_0,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_12(
a2,
o1,
iconst_0,
env,
static) :|:
a2 =
2 &&
iconst_0 =
0 &&
0 <
a2 &&
0 <
o1langle_clinit_rangle_FieldAccess_12(
a2,
o1,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_New_13(
o1,
env,
static') :|:
0 <=
a2 &&
iconst_0 =
0 &&
static' <=
static +
a2 &&
0 <=
static &&
0 <
a2 &&
0 <
o1langle_clinit_rangle_New_13(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_New_14(
o1,
env,
static) :|:
0 <
o1langle_clinit_rangle_New_14(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_New_15(
o1,
env,
static) :|:
0 <=
static &&
0 <
o1langle_clinit_rangle_New_15(
o1,
env,
static) -{1,1}>
langle_clinit_rangle_Duplicate_16(
o3,
o1,
env,
static) :|:
o3 =
1 &&
0 <
o3 &&
0 <
o1langle_clinit_rangle_Duplicate_16(
o3,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_ConstantStackPush_17(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_clinit_rangle_ConstantStackPush_17(
o3,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_InvokeMethod_18(
o3,
NULL,
o1,
env,
static) :|:
NULL =
0 &&
0 <
o3 &&
0 <
o1langle_clinit_rangle_InvokeMethod_18(
o3,
NULL,
o1,
env,
static) -{1,1}>
langle_init_rangle_Load_19(
o3,
o1,
env,
static) :|:
NULL =
0 &&
0 <
o3 &&
0 <
o1langle_init_rangle_Load_19(
o3,
o1,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_20(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_init_rangle_InvokeMethod_20(
o3,
o1,
env,
static) -{1,1}>
langle_init_rangle_Load_21(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_init_rangle_Load_21(
o3,
o1,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_22(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_init_rangle_InvokeMethod_22(
o3,
o1,
env,
static) -{1,1}>
langle_init_rangle_Return_26(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_init_rangle_Return_26(
o3,
o1,
env,
static) -{1,1}>
langle_init_rangle_Return_29(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_init_rangle_Return_29(
o3,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_31(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_clinit_rangle_FieldAccess_31(
o3,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_Return_34(
o1,
env,
static') :|:
0 <
o3 &&
0 <=
o3 &&
0 <=
static &&
0 <
o1 &&
static' <=
static +
o3langle_clinit_rangle_Return_34(
o1,
env,
static) -{1,1}>
main_Load_41(
o1,
env,
static) :|:
0 <
o1main_Load_41(
o1,
env,
static) -{0,0}>
main_Load_42(
o1,
env,
static) :|:
0 <
o1main_Load_42(
o1,
env,
static) -{0,0}>
main_Load_44(
o1,
env,
static) :|:
0 <=
static &&
0 <
o1main_Load_44(
o1,
env,
static) -{0,0}>
main_Load_46(
o1,
env,
static) :|:
0 <
o1main_Load_46(
o1,
env,
static) -{0,0}>
main_Load_48(
o1,
env,
static) :|:
0 <
o1main_Load_48(
o1,
env,
static) -{1,1}>
main_FieldAccess_51(
o1,
env,
static) :|:
0 <
o1main_FieldAccess_51(
o1,
env,
static) -{0,0}>
main_FieldAccess_53(
o1,
env,
static) :|:
0 <
o1main_FieldAccess_53(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_55(
o1,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_ConstantStackPush_55(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_57(
iconst_0,
o1,
NULL,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_FieldAccess_57(
iconst_0,
o1,
NULL,
env,
static) -{1,1}>
langle_clinit_rangle_Return_60(
o1,
NULL,
iconst_0,
env,
static') :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <=
static &&
static' <=
static +
iconst_0 &&
0 <
o1langle_clinit_rangle_Return_60(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
main_FieldAccess_61(
o1,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1main_FieldAccess_61(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
main_InvokeMethod_64(
o1,
iconst_0,
env,
static') :|:
static' <=
static +
o1 &&
NULL =
0 &&
0 <=
o1 &&
iconst_0 =
0 &&
0 <=
static &&
0 <
o1main_InvokeMethod_64(
o1,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_66(
o1,
iconst_0,
env,
static) :|:
iconst_0 =
0 &&
0 <
o1random_FieldAccess_66(
o1,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_67(
o1,
iconst_0,
env,
static) :|:
0 <=
o1 &&
o1 <=
static &&
iconst_0 =
0 &&
0 <=
static &&
0 <
o1random_FieldAccess_67(
o1,
iconst_0,
env,
static) -{1,1}>
random_ArrayAccess_69(
o1,
iconst_0,
env,
static) :|:
-1 *
static <=
iconst_0 &&
iconst_0 =
0 &&
0 <=
static &&
iconst_0 <=
static &&
0 <
o1random_ArrayAccess_69(
a6,
iconst_0,
env,
static) -{0,0}>
random_ArrayAccess_70(
a6,
iconst_0,
i4,
env,
static) :|:
0 <=
i4 &&
iconst_0 =
0 &&
0 <
a6 &&
i4 <
a6obtained
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_84(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_84(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
obtained
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
by chaining
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_106(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_111(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_111(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_134(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_134(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
obtained
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_160(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_160(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_169(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_169(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_173(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_173(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_179(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_179(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_186(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
obtained
random_InvokeMethod_186(o48, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48
by chaining
random_InvokeMethod_186(o48, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_193(o48, a6, i8, iconst_2, i12, env, static) :|: 0 < o48 && 2 <= i12 && 0 <= o48 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_193(o48, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_205(i20, a6, i8, iconst_2, i12, env, static) :|: 0 < o48 && 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o48 && iconst_2 = 2
random_Return_205(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_219(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_219(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_229(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_229(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_241(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_241(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_260(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i20 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_260(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_274(a6, iconst_2, i8, i20, i12, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
obtained
random_ArrayAccess_274(a6, 2, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3
by chaining
random_ArrayAccess_274(a6, iconst_2, i8, i20, i32, env, static) -{0,0}> random_ArrayAccess_290(a6, iconst_2, i8, i20, i32, env, static) :|: 2 <= i32 && 0 <= i20 && 3 <= i32 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_290(a6, iconst_2, i8, i20, i32, env, static) -{1,1}> random_Store_298(o94, a6, i8, i20, iconst_2, i32, env, static) :|: 0 <= i20 && 3 <= i32 && o94 < a6 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_Store_298(o94, a6, i8, i20, iconst_2, i32, env, static) -{1,1}> random_FieldAccess_311(o94, a6, i8, i20, iconst_2, i32, env, static) :|: 0 <= i20 && 3 <= i32 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_FieldAccess_311(o94, a6, i8, i20, iconst_2, i32, env, static) -{1,1}> random_ConstantStackPush_335(iconst_2, o94, a6, i8, i20, i32, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 3 <= i32 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_ConstantStackPush_335(iconst_2, o94, a6, i8, i20, i32, env, static) -{1,1}> random_IntArithmetic_339(iconst_2, iconst_1, o94, a6, i8, i20, i32, env, static) :|: 0 <= i20 && 3 <= i32 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_IntArithmetic_339(iconst_2, iconst_1, o94, a6, i8, i20, i32, env, static) -{1,1}> random_FieldAccess_341(iconst_3, o94, a6, i8, i20, iconst_2, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_FieldAccess_341(iconst_3, o94, a6, i8, i20, iconst_2, i32, env, static) -{1,1}> random_Load_345(o94, a6, i8, i20, iconst_3, i32, env, static') :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_345(o94, a6, i8, i20, iconst_3, i32, env, static) -{1,1}> random_InvokeMethod_349(o94, a6, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 < a6 && 0 <= i8 && 0 <= o94
obtained
random_InvokeMethod_349(o191, a6, i8, i20, 3, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191
by chaining
random_InvokeMethod_349(o191, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_352(o191, a6, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_352(o191, a6, i8, i20, iconst_3, i32, env, static) -{1,1}> random_Return_357(i89, a6, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && i89 <= o191 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_357(i89, a6, i8, i20, iconst_3, i32, env, static) -{1,1}> main_Store_362(a6, i89, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Store_362(a6, i89, i8, i20, iconst_3, i32, env, static) -{1,1}> main_Load_366(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
obtained
main_Load_366(a6, i8, i20, i89, 3, i32, env, static) -{4,4}> main_LE_381(a6, i8, i98', i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98'
by chaining
main_Load_366(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Load_370(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Load_370(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Load_375(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Load_375(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_IntArithmetic_378(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_IntArithmetic_378(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i20 + i89 = i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
obtained
main_LE_381(a6, i8, i98, i20, i89, 3, i32, env, static) -{4,4}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98
by chaining
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_386(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && 3 <= i32 && i98 < i8 && 0 <= i89 && 0 < a6 && 0 <= i8
main_LE_386(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Inc_396(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && 3 <= i32 && i98 < i8 && 1 <= i8 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Inc_396(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Inc_402(a6, i8, i99, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && i20 + 1 = i99 && 3 <= i32 && 1 <= i8 && 0 <= i89 && 0 < a6 && 1 <= i99
main_Inc_402(a6, i8, i99, i89, iconst_3, i32, env, static) -{1,1}> main_JMP_407(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 0 <= i89 && 1 <= i100 && i89 + 1 = i100 && 0 < a6 && 1 <= i99
main_JMP_407(a6, i8, i99, i100, iconst_3, i32, env, static) -{1,1}> main_Load_410(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 1 <= i100 && 0 < a6 && 1 <= i99
main_Load_410(a6, i8, i99, i100, iconst_3, i32, env, static) -{0,0}> main_Load_366(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 0 <= i100 && 1 <= i100 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99
(20) Obligation:
IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_186(o48, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48
random_ArrayAccess_274(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_288(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_274(a6, 2, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(NULL, a6, i8, i20, iconst_3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_349(o191, a6, i8, i20, 3, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191
main_Load_366(a6, i8, i20, i89, 3, i32, env, static) -{4,4}> main_LE_381(a6, i8, i98', i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98'
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_LE_381(a6, i8, i98, i20, i89, 3, i32, env, static) -{4,4}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98
(21) MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Moved arithmethic from lhss to constraints.
random_InvokeMethod_349(o191, a6, i8, i20, 3, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191
was transformed to
random_InvokeMethod_349(o191, a6, i8, i20, x, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191 && x = 3
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_381(a6, i8, i98, i20, i89, 3, i32, env, static) -{4,4}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98
was transformed to
main_LE_381(a6, i8, i98, i20, i89, x, i32, env, static) -{4,4}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98 && x = 3
random_ArrayAccess_274(a6, 2, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3
was transformed to
random_ArrayAccess_274(a6, x, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
main_Load_366(a6, i8, i20, i89, 3, i32, env, static) -{4,4}> main_LE_381(a6, i8, i98', i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98'
was transformed to
main_Load_366(a6, i8, i20, i89, x, i32, env, static) -{4,4}> main_LE_381(a6, i8, i98', i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98' && x = 3
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_InvokeMethod_186(o48, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48
was transformed to
random_InvokeMethod_186(o48, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48 && x = 2
(22) Obligation:
IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_349(o191, a6, i8, i20, x, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191 && x = 3
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(NULL, a6, i8, i20, iconst_3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_274(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_288(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_381(a6, i8, i98, i20, i89, x, i32, env, static) -{4,4}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98 && x = 3
random_ArrayAccess_274(a6, x, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
main_Load_366(a6, i8, i20, i89, x, i32, env, static) -{4,4}> main_LE_381(a6, i8, i98', i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98' && x = 3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
random_InvokeMethod_186(o48, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48 && x = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
(23) LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Linearized lhss.
random_ArrayAccess_274(a6, iconst_2, i8, i20, iconst_2, env, static) -{0,0}> random_ArrayAccess_288(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
was transformed to
random_ArrayAccess_274(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_288(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
(24) Obligation:
IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_381(a6, i8, i98, i20, i89, x, i32, env, static) -{4,4}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98 && x = 3
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(NULL, a6, i8, i20, iconst_3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_274(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_288(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_366(a6, i8, i20, i89, x, i32, env, static) -{4,4}> main_LE_381(a6, i8, i98', i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98' && x = 3
random_InvokeMethod_186(o48, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48 && x = 2
random_ArrayAccess_274(a6, x, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_349(o191, a6, i8, i20, x, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191 && x = 3
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
(25) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Moved arithmethic from constraints to rhss.
main_LE_381(a6, i8, i98, i20, i89, x, i32, env, static) -{4,4}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98 && x = 3
was transformed to
main_LE_381(a6, i8, i98, i20, i89, x, i32, env, static) -{4,4}> main_Load_366(a6, i8, i20 + 1, i89 + 1, 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98 && x = 3
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(NULL, a6, i8, i20, iconst_3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
was transformed to
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(0, a6, i8, i20, 3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_366(a6, i8, i20, i89, x, i32, env, static) -{4,4}> main_LE_381(a6, i8, i98', i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98' && x = 3
was transformed to
main_Load_366(a6, i8, i20, i89, x, i32, env, static) -{4,4}> main_LE_381(a6, i8, i20 + i89, i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98' && x = 3
random_ArrayAccess_274(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_288(a6, iconst_2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
was transformed to
random_ArrayAccess_274(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_288(a6, 2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
was transformed to
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, 3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
(26) Obligation:
IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_381(a6, i8, i98, i20, i89, x, i32, env, static) -{4,4}> main_Load_366(a6, i8, i20 + 1, i89 + 1, 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98 && x = 3
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(0, a6, i8, i20, 3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_366(a6, i8, i20, i89, x, i32, env, static) -{4,4}> main_LE_381(a6, i8, i20 + i89, i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98' && x = 3
random_ArrayAccess_274(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_288(a6, 2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_186(o48, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48 && x = 2
random_ArrayAccess_274(a6, x, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
random_InvokeMethod_349(o191, a6, i8, i20, x, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191 && x = 3
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, 3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
(27) ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Simplified expressions.
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_InvokeMethod_186(o48, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= a6 && 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && 0 <= o48 && i20' <= o48 && x = 2
was transformed to
random_InvokeMethod_186(o48, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && i20' <= o48 && x = 2
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
was transformed to
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
random_InvokeMethod_349(o191, a6, i8, i20, x, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191 && x = 3
was transformed to
random_InvokeMethod_349(o191, a6, i8, i20, x, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191 && x = 3
(28) Obligation:
IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_274(a6, iconst_2, i8, i20, x, env, static) -{0,0}> random_ArrayAccess_288(a6, 2, i8, i20, env, static) :|: 0 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
main_Load_366(a6, i8, i20, i89, x, i32, env, static) -{4,4}> main_LE_381(a6, i8, i20 + i89, i20, i89, 3, i32, env, static) :|: 0 <= i89 && 0 <= i8 && 0 < a6 && 3 <= i32 && 0 <= i20 && i20 + i89 = i98' && 0 <= i98' && x = 3
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_InvokeMethod_186(o48, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_274(a6, 2, i8, i20', i12, env, static) :|: 0 <= i20' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o48 && -1 * static <= 2 && i20' <= o48 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_381(a6, i8, i98, i20, i89, x, i32, env, static) -{4,4}> main_Load_366(a6, i8, i20 + 1, i89 + 1, 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i20 + 1 = i99' && i98 < i8 && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 1 <= i8 && 1 <= i100' && 0 <= i89 && 0 <= i100' && 3 <= i32 && 0 <= i20 && 0 <= i98 && x = 3
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
random_InvokeMethod_186(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_194(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_349(o191, a6, i8, i20, x, i32, env, static) -{3,3}> main_Load_366(a6, i8, i20, i89', 3, i32, env, static) :|: 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i89' && 3 <= i32 && 0 <= i20 && i89' <= o191 && x = 3
random_ArrayAccess_274(a6, x, i8, i20, i32, env, static) -{7,7}> random_InvokeMethod_349(o94', a6, i8, i20, 3, i32, env, static'6) :|: 2 <= i32 && 0 <= o94' && 3 <= i32 && 0 <= i8 && 0 <= static && 0 < a6 && 0 <= i20 && o94' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
random_InvokeMethod_349(NULL, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_353(0, a6, i8, i20, 3, i32, env, static) :|: NULL = 0 && 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_186(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_385(a6, i8, i98, i20, i89, 3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i8 <= i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
(29) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(137)) transformation)
Extracted set of 86 edges for the analysis of TIME complexity. Dropped leaves.
(30) Obligation:
Set of 86 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 86 jbc graph edges to a weighted ITS with 86 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 86 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_9(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_9(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_12(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_12(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_13(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_13(o1, env, static) -{0,0}> langle_clinit_rangle_New_14(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_14(o1, env, static) -{0,0}> langle_clinit_rangle_New_15(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_15(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_16(o3, o1, env, static) :|: o3 = 1 && 0 < o3 && 0 < o1
langle_clinit_rangle_Duplicate_16(o3, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_17(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_ConstantStackPush_17(o3, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_18(o3, NULL, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_clinit_rangle_InvokeMethod_18(o3, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_19(o3, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_init_rangle_Load_19(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_20(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_20(o3, o1, env, static) -{1,1}> langle_init_rangle_Load_21(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Load_21(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_22(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_22(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_26(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_26(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_29(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_29(o3, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_31(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_FieldAccess_31(o3, o1, env, static) -{1,1}> langle_clinit_rangle_Return_34(o1, env, static') :|: 0 < o3 && 0 <= o3 && 0 <= static && 0 < o1 && static' <= static + o3
langle_clinit_rangle_Return_34(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{1,1}> main_FieldAccess_51(o1, env, static) :|: 0 < o1
main_FieldAccess_51(o1, env, static) -{0,0}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_57(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_61(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_64(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_64(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_84(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_84(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_106(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_111(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_111(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_115(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_134(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_134(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_160(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_160(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_169(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_169(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_173(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_173(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_179(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_179(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_186(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_186(o48, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_193(o48, a6, i8, iconst_2, i12, env, static) :|: 0 < o48 && 2 <= i12 && 0 <= o48 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_193(o48, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_205(i20, a6, i8, iconst_2, i12, env, static) :|: 0 < o48 && 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o48 && iconst_2 = 2
random_Return_205(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_219(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_219(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_229(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_229(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_241(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_241(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_260(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i20 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_260(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_274(a6, iconst_2, i8, i20, i12, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_274(a6, iconst_2, i8, i20, i32, env, static) -{0,0}> random_ArrayAccess_290(a6, iconst_2, i8, i20, i32, env, static) :|: 2 <= i32 && 0 <= i20 && 3 <= i32 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_290(a6, iconst_2, i8, i20, i32, env, static) -{1,1}> random_Store_298(o94, a6, i8, i20, iconst_2, i32, env, static) :|: 0 <= i20 && 3 <= i32 && o94 < a6 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_Store_298(o94, a6, i8, i20, iconst_2, i32, env, static) -{1,1}> random_FieldAccess_311(o94, a6, i8, i20, iconst_2, i32, env, static) :|: 0 <= i20 && 3 <= i32 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_FieldAccess_311(o94, a6, i8, i20, iconst_2, i32, env, static) -{1,1}> random_ConstantStackPush_335(iconst_2, o94, a6, i8, i20, i32, env, static) :|: 0 <= i20 && -1 * static <= iconst_2 && 3 <= i32 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_ConstantStackPush_335(iconst_2, o94, a6, i8, i20, i32, env, static) -{1,1}> random_IntArithmetic_339(iconst_2, iconst_1, o94, a6, i8, i20, i32, env, static) :|: 0 <= i20 && 3 <= i32 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_IntArithmetic_339(iconst_2, iconst_1, o94, a6, i8, i20, i32, env, static) -{1,1}> random_FieldAccess_341(iconst_3, o94, a6, i8, i20, iconst_2, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2
random_FieldAccess_341(iconst_3, o94, a6, i8, i20, iconst_2, i32, env, static) -{1,1}> random_Load_345(o94, a6, i8, i20, iconst_3, i32, env, static') :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o94 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_345(o94, a6, i8, i20, iconst_3, i32, env, static) -{1,1}> random_InvokeMethod_349(o94, a6, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 < a6 && 0 <= i8 && 0 <= o94
random_InvokeMethod_349(o191, a6, i8, i20, iconst_3, i32, env, static) -{0,0}> random_InvokeMethod_352(o191, a6, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_352(o191, a6, i8, i20, iconst_3, i32, env, static) -{1,1}> random_Return_357(i89, a6, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && i89 <= o191 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_357(i89, a6, i8, i20, iconst_3, i32, env, static) -{1,1}> main_Store_362(a6, i89, i8, i20, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Store_362(a6, i89, i8, i20, iconst_3, i32, env, static) -{1,1}> main_Load_366(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Load_366(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Load_370(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Load_370(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Load_375(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Load_375(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_IntArithmetic_378(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_IntArithmetic_378(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i20 + i89 = i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_386(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && 3 <= i32 && i98 < i8 && 0 <= i89 && 0 < a6 && 0 <= i8
main_LE_386(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Inc_396(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && 3 <= i32 && i98 < i8 && 1 <= i8 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Inc_396(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Inc_402(a6, i8, i99, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && i20 + 1 = i99 && 3 <= i32 && 1 <= i8 && 0 <= i89 && 0 < a6 && 1 <= i99
main_Inc_402(a6, i8, i99, i89, iconst_3, i32, env, static) -{1,1}> main_JMP_407(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 0 <= i89 && 1 <= i100 && i89 + 1 = i100 && 0 < a6 && 1 <= i99
main_JMP_407(a6, i8, i99, i100, iconst_3, i32, env, static) -{1,1}> main_Load_410(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 1 <= i100 && 0 < a6 && 1 <= i99
main_Load_410(a6, i8, i99, i100, iconst_3, i32, env, static) -{0,0}> main_Load_366(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 0 <= i100 && 1 <= i100 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99
(33) StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
obtained
main_Load_1(
o1,
env,
static) -{59,59}>
main_Load_366(
o1,
i8',
i20',
i89',
3,
i4',
env,
static'6) :|:
1 <=
i4' &&
0 <=
i8' &&
static'5 <=
static'4 +
2 &&
0 <
o1 &&
0 <
o94' &&
0 <=
i89' &&
i4' <
o1 &&
3 <=
i4' &&
static'1 <=
static''' +
1 &&
0 <=
i20' &&
o94' <
o1 &&
2 <=
static'5 &&
i89' <=
o94' &&
0 <=
o25' &&
-1 *
static'5 <=
2 &&
0 <=
2 &&
o8' <
o1 &&
o1 <=
static'4 &&
0 <=
static'4 &&
0 <
o8' &&
0 <=
static'2 &&
i8' <=
o8' &&
-1 *
static'3 <=
0 &&
static'2 <=
static'1 +
0 &&
o1 <=
static'3 &&
static''' <=
static +
2 &&
0 <=
static'1 &&
static'3 <=
static'2 +
o1 &&
0 <=
static &&
0 <=
static''' &&
0 <
2 &&
0 <=
static'3 &&
-1 *
static'4 <=
1 &&
0 <=
o8' &&
0 <
o25' &&
0 <=
o1 &&
1 <=
static'4 &&
0 <=
i4' &&
o1 <=
static'5 &&
0 <=
static'5 &&
2 <=
i4' &&
o25' <
o1 &&
0 <
1 &&
i20' <=
o25' &&
0 <=
1 &&
static'4 <=
static'3 +
1 &&
static'6 <=
static'5 +
3 &&
0 <=
o94'by chaining
main_Load_1(
o1,
env,
static) -{0,0}>
main_Load_4(
o1,
env,
static) :|:
0 <
o1main_Load_4(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_6(
o1,
env,
static) :|:
0 <
o1langle_clinit_rangle_ConstantStackPush_6(
o1,
env,
static) -{1,1}>
langle_clinit_rangle_ArrayCreate_9(
iconst_0,
o1,
env,
static) :|:
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_ArrayCreate_9(
iconst_0,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_12(
a2,
o1,
iconst_0,
env,
static) :|:
a2 =
2 &&
iconst_0 =
0 &&
0 <
a2 &&
0 <
o1langle_clinit_rangle_FieldAccess_12(
a2,
o1,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_New_13(
o1,
env,
static') :|:
0 <=
a2 &&
iconst_0 =
0 &&
static' <=
static +
a2 &&
0 <=
static &&
0 <
a2 &&
0 <
o1langle_clinit_rangle_New_13(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_New_14(
o1,
env,
static) :|:
0 <
o1langle_clinit_rangle_New_14(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_New_15(
o1,
env,
static) :|:
0 <=
static &&
0 <
o1langle_clinit_rangle_New_15(
o1,
env,
static) -{1,1}>
langle_clinit_rangle_Duplicate_16(
o3,
o1,
env,
static) :|:
o3 =
1 &&
0 <
o3 &&
0 <
o1langle_clinit_rangle_Duplicate_16(
o3,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_ConstantStackPush_17(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_clinit_rangle_ConstantStackPush_17(
o3,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_InvokeMethod_18(
o3,
NULL,
o1,
env,
static) :|:
NULL =
0 &&
0 <
o3 &&
0 <
o1langle_clinit_rangle_InvokeMethod_18(
o3,
NULL,
o1,
env,
static) -{1,1}>
langle_init_rangle_Load_19(
o3,
o1,
env,
static) :|:
NULL =
0 &&
0 <
o3 &&
0 <
o1langle_init_rangle_Load_19(
o3,
o1,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_20(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_init_rangle_InvokeMethod_20(
o3,
o1,
env,
static) -{1,1}>
langle_init_rangle_Load_21(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_init_rangle_Load_21(
o3,
o1,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_22(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_init_rangle_InvokeMethod_22(
o3,
o1,
env,
static) -{1,1}>
langle_init_rangle_Return_26(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_init_rangle_Return_26(
o3,
o1,
env,
static) -{1,1}>
langle_init_rangle_Return_29(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_init_rangle_Return_29(
o3,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_31(
o3,
o1,
env,
static) :|:
0 <
o3 &&
0 <
o1langle_clinit_rangle_FieldAccess_31(
o3,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_Return_34(
o1,
env,
static') :|:
0 <
o3 &&
0 <=
o3 &&
0 <=
static &&
0 <
o1 &&
static' <=
static +
o3langle_clinit_rangle_Return_34(
o1,
env,
static) -{1,1}>
main_Load_41(
o1,
env,
static) :|:
0 <
o1main_Load_41(
o1,
env,
static) -{0,0}>
main_Load_42(
o1,
env,
static) :|:
0 <
o1main_Load_42(
o1,
env,
static) -{0,0}>
main_Load_44(
o1,
env,
static) :|:
0 <=
static &&
0 <
o1main_Load_44(
o1,
env,
static) -{0,0}>
main_Load_46(
o1,
env,
static) :|:
0 <
o1main_Load_46(
o1,
env,
static) -{0,0}>
main_Load_48(
o1,
env,
static) :|:
0 <
o1main_Load_48(
o1,
env,
static) -{1,1}>
main_FieldAccess_51(
o1,
env,
static) :|:
0 <
o1main_FieldAccess_51(
o1,
env,
static) -{0,0}>
main_FieldAccess_53(
o1,
env,
static) :|:
0 <
o1main_FieldAccess_53(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_55(
o1,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_ConstantStackPush_55(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_57(
iconst_0,
o1,
NULL,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_FieldAccess_57(
iconst_0,
o1,
NULL,
env,
static) -{1,1}>
langle_clinit_rangle_Return_60(
o1,
NULL,
iconst_0,
env,
static') :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <=
static &&
static' <=
static +
iconst_0 &&
0 <
o1langle_clinit_rangle_Return_60(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
main_FieldAccess_61(
o1,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1main_FieldAccess_61(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
main_InvokeMethod_64(
o1,
iconst_0,
env,
static') :|:
static' <=
static +
o1 &&
NULL =
0 &&
0 <=
o1 &&
iconst_0 =
0 &&
0 <=
static &&
0 <
o1main_InvokeMethod_64(
o1,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_66(
o1,
iconst_0,
env,
static) :|:
iconst_0 =
0 &&
0 <
o1random_FieldAccess_66(
o1,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_67(
o1,
iconst_0,
env,
static) :|:
0 <=
o1 &&
o1 <=
static &&
iconst_0 =
0 &&
0 <=
static &&
0 <
o1random_FieldAccess_67(
o1,
iconst_0,
env,
static) -{1,1}>
random_ArrayAccess_69(
o1,
iconst_0,
env,
static) :|:
-1 *
static <=
iconst_0 &&
iconst_0 =
0 &&
0 <=
static &&
iconst_0 <=
static &&
0 <
o1random_ArrayAccess_69(
a6,
iconst_0,
env,
static) -{0,0}>
random_ArrayAccess_70(
a6,
iconst_0,
i4,
env,
static) :|:
0 <=
i4 &&
iconst_0 =
0 &&
0 <
a6 &&
i4 <
a6random_ArrayAccess_70(
a6,
iconst_0,
i6,
env,
static) -{0,0}>
random_ArrayAccess_74(
a6,
iconst_0,
i6,
env,
static) :|:
0 <=
i6 &&
1 <=
i6 &&
iconst_0 =
0 &&
0 <
a6random_ArrayAccess_74(
a6,
iconst_0,
i6,
env,
static) -{1,1}>
random_Store_78(
o8,
a6,
iconst_0,
i6,
env,
static) :|:
1 <=
i6 &&
0 <=
o8 &&
o8 <
a6 &&
iconst_0 =
0 &&
0 <
a6random_Store_78(
o8,
a6,
iconst_0,
i6,
env,
static) -{1,1}>
random_FieldAccess_80(
o8,
a6,
iconst_0,
i6,
env,
static) :|:
1 <=
i6 &&
0 <=
o8 &&
iconst_0 =
0 &&
0 <
a6random_FieldAccess_80(
o8,
a6,
iconst_0,
i6,
env,
static) -{1,1}>
random_ConstantStackPush_84(
iconst_0,
o8,
a6,
i6,
env,
static) :|:
1 <=
i6 &&
0 <=
o8 &&
-1 *
static <=
iconst_0 &&
iconst_0 =
0 &&
0 <=
static &&
0 <
a6 &&
iconst_0 <=
staticrandom_ConstantStackPush_84(
iconst_0,
o8,
a6,
i6,
env,
static) -{1,1}>
random_IntArithmetic_88(
iconst_0,
iconst_1,
o8,
a6,
i6,
env,
static) :|:
1 <=
i6 &&
0 <=
o8 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
a6random_IntArithmetic_88(
iconst_0,
iconst_1,
o8,
a6,
i6,
env,
static) -{1,1}>
random_FieldAccess_90(
iconst_1,
o8,
a6,
iconst_0,
i6,
env,
static) :|:
1 <=
i6 &&
0 <=
o8 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
a6random_FieldAccess_90(
iconst_1,
o8,
a6,
iconst_0,
i6,
env,
static) -{1,1}>
random_Load_95(
o8,
a6,
iconst_1,
i6,
env,
static') :|:
1 <=
i6 &&
0 <=
o8 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <=
static &&
0 <
a6 &&
static' <=
static +
iconst_1random_Load_95(
o8,
a6,
iconst_1,
i6,
env,
static) -{1,1}>
random_InvokeMethod_100(
o8,
a6,
iconst_1,
i6,
env,
static) :|:
1 <=
i6 &&
0 <=
o8 &&
iconst_1 =
1 &&
0 <
a6random_InvokeMethod_100(
o12,
a6,
iconst_1,
i6,
env,
static) -{0,0}>
random_InvokeMethod_102(
o12,
a6,
iconst_1,
i6,
env,
static) :|:
1 <=
i6 &&
0 <=
o12 &&
0 <
o12 &&
iconst_1 =
1 &&
0 <
a6random_InvokeMethod_102(
o12,
a6,
iconst_1,
i6,
env,
static) -{1,1}>
random_Return_106(
i8,
a6,
iconst_1,
i6,
env,
static) :|:
1 <=
i6 &&
i8 <=
o12 &&
0 <
o12 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8random_Return_106(
i8,
a6,
iconst_1,
i6,
env,
static) -{1,1}>
main_Store_111(
a6,
i8,
iconst_1,
i6,
env,
static) :|:
1 <=
i6 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8main_Store_111(
a6,
i8,
iconst_1,
i6,
env,
static) -{1,1}>
main_InvokeMethod_115(
a6,
i8,
iconst_1,
i6,
env,
static) :|:
1 <=
i6 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8main_InvokeMethod_115(
a6,
i8,
iconst_1,
i6,
env,
static) -{1,1}>
random_FieldAccess_119(
a6,
i8,
iconst_1,
i6,
env,
static) :|:
1 <=
i6 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8random_FieldAccess_119(
a6,
i8,
iconst_1,
i6,
env,
static) -{1,1}>
random_FieldAccess_134(
a6,
i8,
iconst_1,
i6,
env,
static) :|:
0 <=
a6 &&
1 <=
i6 &&
iconst_1 =
1 &&
a6 <=
static &&
0 <=
static &&
0 <
a6 &&
0 <=
i8random_FieldAccess_134(
a6,
i8,
iconst_1,
i6,
env,
static) -{1,1}>
random_ArrayAccess_143(
a6,
iconst_1,
i8,
i6,
env,
static) :|:
-1 *
static <=
iconst_1 &&
1 <=
i6 &&
iconst_1 <=
static &&
iconst_1 =
1 &&
0 <=
static &&
0 <
a6 &&
0 <=
i8random_ArrayAccess_143(
a6,
iconst_1,
i8,
i12,
env,
static) -{0,0}>
random_ArrayAccess_147(
a6,
iconst_1,
i8,
i12,
env,
static) :|:
2 <=
i12 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8 &&
1 <=
i12random_ArrayAccess_147(
a6,
iconst_1,
i8,
i12,
env,
static) -{1,1}>
random_Store_151(
o25,
a6,
i8,
iconst_1,
i12,
env,
static) :|:
2 <=
i12 &&
iconst_1 =
1 &&
o25 <
a6 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o25random_Store_151(
o25,
a6,
i8,
iconst_1,
i12,
env,
static) -{1,1}>
random_FieldAccess_153(
o25,
a6,
i8,
iconst_1,
i12,
env,
static) :|:
2 <=
i12 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o25random_FieldAccess_153(
o25,
a6,
i8,
iconst_1,
i12,
env,
static) -{1,1}>
random_ConstantStackPush_160(
iconst_1,
o25,
a6,
i8,
i12,
env,
static) :|:
-1 *
static <=
iconst_1 &&
2 <=
i12 &&
iconst_1 <=
static &&
iconst_1 =
1 &&
0 <=
static &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o25random_ConstantStackPush_160(
iconst_1,
o25,
a6,
i8,
i12,
env,
static) -{1,1}>
random_IntArithmetic_169(
iconst_1,
o25,
a6,
i8,
i12,
env,
static) :|:
2 <=
i12 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o25random_IntArithmetic_169(
iconst_1,
o25,
a6,
i8,
i12,
env,
static) -{1,1}>
random_FieldAccess_173(
iconst_2,
o25,
a6,
i8,
iconst_1,
i12,
env,
static) :|:
2 <=
i12 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o25 &&
iconst_2 =
2random_FieldAccess_173(
iconst_2,
o25,
a6,
i8,
iconst_1,
i12,
env,
static) -{1,1}>
random_Load_179(
o25,
a6,
i8,
iconst_2,
i12,
env,
static') :|:
2 <=
i12 &&
iconst_1 =
1 &&
0 <=
static &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o25 &&
iconst_2 =
2 &&
static' <=
static +
iconst_2random_Load_179(
o25,
a6,
i8,
iconst_2,
i12,
env,
static) -{1,1}>
random_InvokeMethod_186(
o25,
a6,
i8,
iconst_2,
i12,
env,
static) :|:
2 <=
i12 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o25 &&
iconst_2 =
2random_InvokeMethod_186(
o48,
a6,
i8,
iconst_2,
i12,
env,
static) -{0,0}>
random_InvokeMethod_193(
o48,
a6,
i8,
iconst_2,
i12,
env,
static) :|:
0 <
o48 &&
2 <=
i12 &&
0 <=
o48 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2random_InvokeMethod_193(
o48,
a6,
i8,
iconst_2,
i12,
env,
static) -{1,1}>
random_Return_205(
i20,
a6,
i8,
iconst_2,
i12,
env,
static) :|:
0 <
o48 &&
0 <=
i20 &&
2 <=
i12 &&
0 <
a6 &&
0 <=
i8 &&
i20 <=
o48 &&
iconst_2 =
2random_Return_205(
i20,
a6,
i8,
iconst_2,
i12,
env,
static) -{1,1}>
main_Store_219(
a6,
i20,
i8,
iconst_2,
i12,
env,
static) :|:
0 <=
i20 &&
2 <=
i12 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2main_Store_219(
a6,
i20,
i8,
iconst_2,
i12,
env,
static) -{1,1}>
main_InvokeMethod_229(
a6,
i8,
i20,
iconst_2,
i12,
env,
static) :|:
0 <=
i20 &&
2 <=
i12 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2main_InvokeMethod_229(
a6,
i8,
i20,
iconst_2,
i12,
env,
static) -{1,1}>
random_FieldAccess_241(
a6,
i8,
i20,
iconst_2,
i12,
env,
static) :|:
0 <=
i20 &&
2 <=
i12 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2random_FieldAccess_241(
a6,
i8,
i20,
iconst_2,
i12,
env,
static) -{1,1}>
random_FieldAccess_260(
a6,
i8,
i20,
iconst_2,
i12,
env,
static) :|:
0 <=
a6 &&
0 <=
i20 &&
2 <=
i12 &&
a6 <=
static &&
0 <=
static &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2random_FieldAccess_260(
a6,
i8,
i20,
iconst_2,
i12,
env,
static) -{1,1}>
random_ArrayAccess_274(
a6,
iconst_2,
i8,
i20,
i12,
env,
static) :|:
0 <=
i20 &&
-1 *
static <=
iconst_2 &&
2 <=
i12 &&
iconst_2 <=
static &&
0 <=
static &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2random_ArrayAccess_274(
a6,
iconst_2,
i8,
i20,
i32,
env,
static) -{0,0}>
random_ArrayAccess_290(
a6,
iconst_2,
i8,
i20,
i32,
env,
static) :|:
2 <=
i32 &&
0 <=
i20 &&
3 <=
i32 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2random_ArrayAccess_290(
a6,
iconst_2,
i8,
i20,
i32,
env,
static) -{1,1}>
random_Store_298(
o94,
a6,
i8,
i20,
iconst_2,
i32,
env,
static) :|:
0 <=
i20 &&
3 <=
i32 &&
o94 <
a6 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o94 &&
iconst_2 =
2random_Store_298(
o94,
a6,
i8,
i20,
iconst_2,
i32,
env,
static) -{1,1}>
random_FieldAccess_311(
o94,
a6,
i8,
i20,
iconst_2,
i32,
env,
static) :|:
0 <=
i20 &&
3 <=
i32 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o94 &&
iconst_2 =
2random_FieldAccess_311(
o94,
a6,
i8,
i20,
iconst_2,
i32,
env,
static) -{1,1}>
random_ConstantStackPush_335(
iconst_2,
o94,
a6,
i8,
i20,
i32,
env,
static) :|:
0 <=
i20 &&
-1 *
static <=
iconst_2 &&
3 <=
i32 &&
iconst_2 <=
static &&
0 <=
static &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o94 &&
iconst_2 =
2random_ConstantStackPush_335(
iconst_2,
o94,
a6,
i8,
i20,
i32,
env,
static) -{1,1}>
random_IntArithmetic_339(
iconst_2,
iconst_1,
o94,
a6,
i8,
i20,
i32,
env,
static) :|:
0 <=
i20 &&
3 <=
i32 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o94 &&
iconst_2 =
2random_IntArithmetic_339(
iconst_2,
iconst_1,
o94,
a6,
i8,
i20,
i32,
env,
static) -{1,1}>
random_FieldAccess_341(
iconst_3,
o94,
a6,
i8,
i20,
iconst_2,
i32,
env,
static) :|:
0 <=
i20 &&
iconst_3 =
3 &&
3 <=
i32 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o94 &&
iconst_2 =
2random_FieldAccess_341(
iconst_3,
o94,
a6,
i8,
i20,
iconst_2,
i32,
env,
static) -{1,1}>
random_Load_345(
o94,
a6,
i8,
i20,
iconst_3,
i32,
env,
static') :|:
0 <=
i20 &&
iconst_3 =
3 &&
3 <=
i32 &&
0 <=
static &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o94 &&
iconst_2 =
2 &&
static' <=
static +
iconst_3random_Load_345(
o94,
a6,
i8,
i20,
iconst_3,
i32,
env,
static) -{1,1}>
random_InvokeMethod_349(
o94,
a6,
i8,
i20,
iconst_3,
i32,
env,
static) :|:
0 <=
i20 &&
iconst_3 =
3 &&
3 <=
i32 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o94random_InvokeMethod_349(
o191,
a6,
i8,
i20,
iconst_3,
i32,
env,
static) -{0,0}>
random_InvokeMethod_352(
o191,
a6,
i8,
i20,
iconst_3,
i32,
env,
static) :|:
0 <=
i20 &&
iconst_3 =
3 &&
3 <=
i32 &&
0 <
a6 &&
0 <
o191 &&
0 <=
i8 &&
0 <=
o191random_InvokeMethod_352(
o191,
a6,
i8,
i20,
iconst_3,
i32,
env,
static) -{1,1}>
random_Return_357(
i89,
a6,
i8,
i20,
iconst_3,
i32,
env,
static) :|:
0 <=
i20 &&
iconst_3 =
3 &&
i89 <=
o191 &&
3 <=
i32 &&
0 <=
i89 &&
0 <
a6 &&
0 <
o191 &&
0 <=
i8random_Return_357(
i89,
a6,
i8,
i20,
iconst_3,
i32,
env,
static) -{1,1}>
main_Store_362(
a6,
i89,
i8,
i20,
iconst_3,
i32,
env,
static) :|:
0 <=
i20 &&
iconst_3 =
3 &&
3 <=
i32 &&
0 <=
i89 &&
0 <
a6 &&
0 <=
i8main_Store_362(
a6,
i89,
i8,
i20,
iconst_3,
i32,
env,
static) -{1,1}>
main_Load_366(
a6,
i8,
i20,
i89,
iconst_3,
i32,
env,
static) :|:
0 <=
i20 &&
iconst_3 =
3 &&
3 <=
i32 &&
0 <=
i89 &&
0 <
a6 &&
0 <=
i8obtained
main_Load_366(a6, i8, i20, i89, 3, i32, env, static) -{8,8}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i98' < i8 && i20 + 1 = i99' && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 3 <= i32 && 1 <= i100' && 0 <= i20 && 0 <= i100' && 0 <= i89 && 1 <= i8 && i20 + i89 = i98' && 0 <= i98'
by chaining
main_Load_366(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Load_370(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Load_370(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Load_375(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Load_375(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_IntArithmetic_378(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_IntArithmetic_378(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && i20 + i89 = i98 && 3 <= i32 && 0 <= i89 && 0 < a6 && 0 <= i8
main_LE_381(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{0,0}> main_LE_386(a6, i8, i98, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && 3 <= i32 && i98 < i8 && 0 <= i89 && 0 < a6 && 0 <= i8
main_LE_386(a6, i8, i98, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Inc_396(a6, i8, i20, i89, iconst_3, i32, env, static) :|: 0 <= i20 && 0 <= i98 && iconst_3 = 3 && 3 <= i32 && i98 < i8 && 1 <= i8 && 0 <= i89 && 0 < a6 && 0 <= i8
main_Inc_396(a6, i8, i20, i89, iconst_3, i32, env, static) -{1,1}> main_Inc_402(a6, i8, i99, i89, iconst_3, i32, env, static) :|: 0 <= i20 && iconst_3 = 3 && i20 + 1 = i99 && 3 <= i32 && 1 <= i8 && 0 <= i89 && 0 < a6 && 1 <= i99
main_Inc_402(a6, i8, i99, i89, iconst_3, i32, env, static) -{1,1}> main_JMP_407(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 0 <= i89 && 1 <= i100 && i89 + 1 = i100 && 0 < a6 && 1 <= i99
main_JMP_407(a6, i8, i99, i100, iconst_3, i32, env, static) -{1,1}> main_Load_410(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 1 <= i100 && 0 < a6 && 1 <= i99
main_Load_410(a6, i8, i99, i100, iconst_3, i32, env, static) -{0,0}> main_Load_366(a6, i8, i99, i100, iconst_3, i32, env, static) :|: iconst_3 = 3 && 3 <= i32 && 1 <= i8 && 0 <= i100 && 1 <= i100 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99
(34) Obligation:
IntTrs with 2 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, env, static) -{59,59}> main_Load_366(o1, i8', i20', i89', 3, i4', env, static'6) :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o94' && 0 <= i89' && i4' < o1 && 3 <= i4' && static'1 <= static''' + 1 && 0 <= i20' && o94' < o1 && 2 <= static'5 && i89' <= o94' && 0 <= o25' && -1 * static'5 <= 2 && 0 <= 2 && o8' < o1 && o1 <= static'4 && 0 <= static'4 && 0 < o8' && 0 <= static'2 && i8' <= o8' && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 < 2 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o8' && 0 < o25' && 0 <= o1 && 1 <= static'4 && 0 <= i4' && o1 <= static'5 && 0 <= static'5 && 2 <= i4' && o25' < o1 && 0 < 1 && i20' <= o25' && 0 <= 1 && static'4 <= static'3 + 1 && static'6 <= static'5 + 3 && 0 <= o94'
main_Load_366(a6, i8, i20, i89, 3, i32, env, static) -{8,8}> main_Load_366(a6, i8, i99', i100', 3, i32, env, static) :|: 0 <= i8 && 1 <= i99' && i98' < i8 && i20 + 1 = i99' && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 3 <= i32 && 1 <= i100' && 0 <= i20 && 0 <= i100' && 0 <= i89 && 1 <= i8 && i20 + i89 = i98' && 0 <= i98'
(35) WeightedIntTrsUnneededArgumentFilterProof (CONCRETE UPPER BOUND(ID) transformation)
Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements:
main_Load_1(x1, x2, x3) → main_Load_1(x1, x3)
main_Load_366(x1, x2, x3, x4, x5, x6, x7, x8) → main_Load_366(x1, x2, x3, x4, x6)
(36) Obligation:
IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, static) -{59,59}> main_Load_366(o1, i8', i20', i89', i4') :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o94' && 0 <= i89' && i4' < o1 && 3 <= i4' && static'1 <= static''' + 1 && 0 <= i20' && o94' < o1 && 2 <= static'5 && i89' <= o94' && 0 <= o25' && -1 * static'5 <= 2 && 0 <= 2 && o8' < o1 && o1 <= static'4 && 0 <= static'4 && 0 < o8' && 0 <= static'2 && i8' <= o8' && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 < 2 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o8' && 0 < o25' && 0 <= o1 && 1 <= static'4 && 0 <= i4' && o1 <= static'5 && 0 <= static'5 && 2 <= i4' && o25' < o1 && 0 < 1 && i20' <= o25' && 0 <= 1 && static'4 <= static'3 + 1 && static'6 <= static'5 + 3 && 0 <= o94'
main_Load_366(a6, i8, i20, i89, i32) -{8,8}> main_Load_366(a6, i8, i99', i100', i32) :|: 0 <= i8 && 1 <= i99' && i98' < i8 && i20 + 1 = i99' && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 3 <= i32 && 1 <= i100' && 0 <= i20 && 0 <= i100' && 0 <= i89 && 1 <= i8 && i20 + i89 = i98' && 0 <= i98'
(37) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Moved arithmethic from constraints to rhss.
main_Load_366(a6, i8, i20, i89, i32) -{8,8}> main_Load_366(a6, i8, i99', i100', i32) :|: 0 <= i8 && 1 <= i99' && i98' < i8 && i20 + 1 = i99' && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 3 <= i32 && 1 <= i100' && 0 <= i20 && 0 <= i100' && 0 <= i89 && 1 <= i8 && i20 + i89 = i98' && 0 <= i98'
was transformed to
main_Load_366(a6, i8, i20, i89, i32) -{8,8}> main_Load_366(a6, i8, i20 + 1, i89 + 1, i32) :|: 0 <= i8 && 1 <= i99' && i98' < i8 && i20 + 1 = i99' && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 3 <= i32 && 1 <= i100' && 0 <= i20 && 0 <= i100' && 0 <= i89 && 1 <= i8 && i20 + i89 = i98' && 0 <= i98'
(38) Obligation:
IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_366(a6, i8, i20, i89, i32) -{8,8}> main_Load_366(a6, i8, i20 + 1, i89 + 1, i32) :|: 0 <= i8 && 1 <= i99' && i98' < i8 && i20 + 1 = i99' && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 3 <= i32 && 1 <= i100' && 0 <= i20 && 0 <= i100' && 0 <= i89 && 1 <= i8 && i20 + i89 = i98' && 0 <= i98'
main_Load_1(o1, static) -{59,59}> main_Load_366(o1, i8', i20', i89', i4') :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o94' && 0 <= i89' && i4' < o1 && 3 <= i4' && static'1 <= static''' + 1 && 0 <= i20' && o94' < o1 && 2 <= static'5 && i89' <= o94' && 0 <= o25' && -1 * static'5 <= 2 && 0 <= 2 && o8' < o1 && o1 <= static'4 && 0 <= static'4 && 0 < o8' && 0 <= static'2 && i8' <= o8' && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 < 2 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o8' && 0 < o25' && 0 <= o1 && 1 <= static'4 && 0 <= i4' && o1 <= static'5 && 0 <= static'5 && 2 <= i4' && o25' < o1 && 0 < 1 && i20' <= o25' && 0 <= 1 && static'4 <= static'3 + 1 && static'6 <= static'5 + 3 && 0 <= o94'
(39) ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Simplified expressions.
main_Load_1(o1, static) -{59,59}> main_Load_366(o1, i8', i20', i89', i4') :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o94' && 0 <= i89' && i4' < o1 && 3 <= i4' && static'1 <= static''' + 1 && 0 <= i20' && o94' < o1 && 2 <= static'5 && i89' <= o94' && 0 <= o25' && -1 * static'5 <= 2 && 0 <= 2 && o8' < o1 && o1 <= static'4 && 0 <= static'4 && 0 < o8' && 0 <= static'2 && i8' <= o8' && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 < 2 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o8' && 0 < o25' && 0 <= o1 && 1 <= static'4 && 0 <= i4' && o1 <= static'5 && 0 <= static'5 && 2 <= i4' && o25' < o1 && 0 < 1 && i20' <= o25' && 0 <= 1 && static'4 <= static'3 + 1 && static'6 <= static'5 + 3 && 0 <= o94'
was transformed to
main_Load_1(o1, static) -{59,59}> main_Load_366(o1, i8', i20', i89', i4') :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o94' && 0 <= i89' && i4' < o1 && 3 <= i4' && static'1 <= static''' + 1 && 0 <= i20' && o94' < o1 && 2 <= static'5 && i89' <= o94' && -1 * static'5 <= 2 && o8' < o1 && o1 <= static'4 && 0 <= static'4 && 0 < o8' && 0 <= static'2 && i8' <= o8' && -1 * static'3 <= 0 && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 <= static'3 && -1 * static'4 <= 1 && 0 < o25' && 1 <= static'4 && 0 <= i4' && o1 <= static'5 && 0 <= static'5 && 2 <= i4' && o25' < o1 && i20' <= o25' && static'4 <= static'3 + 1 && static'6 <= static'5 + 3
(40) Obligation:
IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, static) -{59,59}> main_Load_366(o1, i8', i20', i89', i4') :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o1 && 0 < o94' && 0 <= i89' && i4' < o1 && 3 <= i4' && static'1 <= static''' + 1 && 0 <= i20' && o94' < o1 && 2 <= static'5 && i89' <= o94' && -1 * static'5 <= 2 && o8' < o1 && o1 <= static'4 && 0 <= static'4 && 0 < o8' && 0 <= static'2 && i8' <= o8' && -1 * static'3 <= 0 && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && 0 <= static''' && 0 <= static'3 && -1 * static'4 <= 1 && 0 < o25' && 1 <= static'4 && 0 <= i4' && o1 <= static'5 && 0 <= static'5 && 2 <= i4' && o25' < o1 && i20' <= o25' && static'4 <= static'3 + 1 && static'6 <= static'5 + 3
main_Load_366(a6, i8, i20, i89, i32) -{8,8}> main_Load_366(a6, i8, i20 + 1, i89 + 1, i32) :|: 0 <= i8 && 1 <= i99' && i98' < i8 && i20 + 1 = i99' && 0 <= i99' && i89 + 1 = i100' && 0 < a6 && 3 <= i32 && 1 <= i100' && 0 <= i20 && 0 <= i100' && 0 <= i89 && 1 <= i8 && i20 + i89 = i98' && 0 <= i98'
(41) koat Proof (EQUIVALENT transformation)
YES(?, 8*ar_0 + 59)
Initial complexity problem:
1: T:
(Comp: ?, Cost: 59) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_366(ar_0, i8', i20', i89', i4')) [ 1 <= i4' /\ 0 <= i8' /\ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 0 < o94' /\ 0 <= i89' /\ i4' < ar_0 /\ 3 <= i4' /\ static'1 <= static''' + 1 /\ 0 <= i20' /\ o94' < ar_0 /\ 2 <= static'5 /\ i89' <= o94' /\ -static'5 <= 2 /\ o8' < ar_0 /\ ar_0 <= static'4 /\ 0 <= static'4 /\ 0 < o8' /\ 0 <= static'2 /\ i8' <= o8' /\ -static'3 <= 0 /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_1 /\ 0 <= static''' /\ 0 <= static'3 /\ -static'4 <= 1 /\ 0 < o25' /\ 1 <= static'4 /\ 0 <= i4' /\ ar_0 <= static'5 /\ 0 <= static'5 /\ 2 <= i4' /\ o25' < ar_0 /\ i20' <= o25' /\ static'4 <= static'3 + 1 /\ static'6 <= static'5 + 3 ]
(Comp: ?, Cost: 8) main_Load_366(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_366(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ 0 <= ar_1 /\ 1 <= i99' /\ i98' < ar_1 /\ ar_2 + 1 = i99' /\ 0 <= i99' /\ ar_3 + 1 = i100' /\ 0 < ar_0 /\ 3 <= ar_4 /\ 1 <= i100' /\ 0 <= ar_2 /\ 0 <= i100' /\ 0 <= ar_3 /\ 1 <= ar_1 /\ ar_2 + ar_3 = i98' /\ 0 <= i98' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0
Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: 1, Cost: 59) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_366(ar_0, i8', i20', i89', i4')) [ 1 <= i4' /\ 0 <= i8' /\ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 0 < o94' /\ 0 <= i89' /\ i4' < ar_0 /\ 3 <= i4' /\ static'1 <= static''' + 1 /\ 0 <= i20' /\ o94' < ar_0 /\ 2 <= static'5 /\ i89' <= o94' /\ -static'5 <= 2 /\ o8' < ar_0 /\ ar_0 <= static'4 /\ 0 <= static'4 /\ 0 < o8' /\ 0 <= static'2 /\ i8' <= o8' /\ -static'3 <= 0 /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_1 /\ 0 <= static''' /\ 0 <= static'3 /\ -static'4 <= 1 /\ 0 < o25' /\ 1 <= static'4 /\ 0 <= i4' /\ ar_0 <= static'5 /\ 0 <= static'5 /\ 2 <= i4' /\ o25' < ar_0 /\ i20' <= o25' /\ static'4 <= static'3 + 1 /\ static'6 <= static'5 + 3 ]
(Comp: ?, Cost: 8) main_Load_366(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_366(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ 0 <= ar_1 /\ 1 <= i99' /\ i98' < ar_1 /\ ar_2 + 1 = i99' /\ 0 <= i99' /\ ar_3 + 1 = i100' /\ 0 < ar_0 /\ 3 <= ar_4 /\ 1 <= i100' /\ 0 <= ar_2 /\ 0 <= i100' /\ 0 <= ar_3 /\ 1 <= ar_1 /\ ar_2 + ar_3 = i98' /\ 0 <= i98' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0
A polynomial rank function with
Pol(main_Load_1) = V_1
Pol(main_Load_366) = V_2 - V_3
Pol(koat_start) = V_1
orients all transitions weakly and the transition
main_Load_366(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_366(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ 0 <= ar_1 /\ 1 <= i99' /\ i98' < ar_1 /\ ar_2 + 1 = i99' /\ 0 <= i99' /\ ar_3 + 1 = i100' /\ 0 < ar_0 /\ 3 <= ar_4 /\ 1 <= i100' /\ 0 <= ar_2 /\ 0 <= i100' /\ 0 <= ar_3 /\ 1 <= ar_1 /\ ar_2 + ar_3 = i98' /\ 0 <= i98' ]
strictly and produces the following problem:
3: T:
(Comp: 1, Cost: 59) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_366(ar_0, i8', i20', i89', i4')) [ 1 <= i4' /\ 0 <= i8' /\ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 0 < o94' /\ 0 <= i89' /\ i4' < ar_0 /\ 3 <= i4' /\ static'1 <= static''' + 1 /\ 0 <= i20' /\ o94' < ar_0 /\ 2 <= static'5 /\ i89' <= o94' /\ -static'5 <= 2 /\ o8' < ar_0 /\ ar_0 <= static'4 /\ 0 <= static'4 /\ 0 < o8' /\ 0 <= static'2 /\ i8' <= o8' /\ -static'3 <= 0 /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_1 /\ 0 <= static''' /\ 0 <= static'3 /\ -static'4 <= 1 /\ 0 < o25' /\ 1 <= static'4 /\ 0 <= i4' /\ ar_0 <= static'5 /\ 0 <= static'5 /\ 2 <= i4' /\ o25' < ar_0 /\ i20' <= o25' /\ static'4 <= static'3 + 1 /\ static'6 <= static'5 + 3 ]
(Comp: ar_0, Cost: 8) main_Load_366(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_366(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ 0 <= ar_1 /\ 1 <= i99' /\ i98' < ar_1 /\ ar_2 + 1 = i99' /\ 0 <= i99' /\ ar_3 + 1 = i100' /\ 0 < ar_0 /\ 3 <= ar_4 /\ 1 <= i100' /\ 0 <= ar_2 /\ 0 <= i100' /\ 0 <= ar_3 /\ 1 <= ar_1 /\ ar_2 + ar_3 = i98' /\ 0 <= i98' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0
Complexity upper bound 8*ar_0 + 59
Time: 0.287 sec (SMT: 0.254 sec)
(42) BOUNDS(CONSTANT, 59 + 8 * |args|)