WORST_CASE(INF,?)

### Pre-processing the ITS problem ###

Initial linear ITS problem
   Start location: __init
      0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 && 0==arg3P_1 && arg2==arg5P_1 && 1==arg6P_1 ], cost: 1
      1: f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg5>1 && arg4>arg3 && arg7>0 && arg4>0 && arg1>=arg1P_2 && arg2>=arg1P_2 && arg1>0 && arg2>0 && arg1P_2>0 && arg2P_2>0 && arg2>=2+arg7 && arg2>=2+arg6 && 1+arg3==arg3P_2 && arg4==arg4P_2 && arg5==arg5P_2 ], cost: 1
      3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && arg7==arg2P_4 && 1+arg6==arg4P_4 && arg7==arg5P_4 ], cost: 1
      7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && 1==arg1P_8 && 0==arg2P_8 && arg6==arg3P_8 ], cost: 1
      2: f958_0_getNext_Return -> f731_0_main_GE : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, arg7'=arg7P_3, [ arg1P_3<=arg1 && arg1P_3<=arg2 && arg2P_3<=arg2 && arg1>0 && arg2>0 && arg1P_3>0 && arg2P_3>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && 1+arg4==arg3P_3 && arg3==arg4P_3 && arg5==arg5P_3 && arg6==arg6P_3 && arg7==arg7P_3 ], cost: 1
      5: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, arg7'=arg7P_6, [ -arg3*x76_1+arg2==0 && x77_1<=arg1 && arg1>0 && x77_1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 && arg1==arg1P_6 && arg2==arg2P_6 && arg3==arg3P_6 && arg4==arg4P_6 && arg5==arg5P_6 ], cost: 1
      4: f873_0_findKthPrime_Return -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, arg7'=arg7P_5, [ -1+arg1P_5<=arg1 && arg1>0 && arg1P_5>0 && 2+arg4<=arg1 && 2+arg3<=arg1 && arg4==arg2P_5 && arg2==arg3P_5 && 1+arg3==arg4P_5 && arg4==arg5P_5 ], cost: 1
      6: f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ arg2-arg3*x85_1==0 && arg1P_7<=arg1 && arg1>0 && arg1P_7>0 && 2+arg4<=arg1 && 2+arg5<=arg1 && -arg3*arg2P_7+arg2>=0 && arg3>-arg3*arg2P_7+arg2 && arg3>arg2-arg3*x85_1 && arg2-arg3*x85_1>=0 && arg3==arg3P_7 && arg4==arg4P_7 && arg5==arg5P_7 ], cost: 1
      8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 && arg3==arg1P_9 && arg2==arg2P_9 && 2==arg3P_9 && 1+arg1==arg4P_9 ], cost: 1
     13: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg3>arg2 && arg1<1 && 1+arg1==arg1P_14 && arg2==arg2P_14 && arg3==arg3P_14 ], cost: 1
      9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && arg4-arg3*x90_1<0 && arg1==arg1P_10 && arg2==arg2P_10 && arg3==arg3P_10 && arg4==arg4P_10 ], cost: 1
     10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && arg4-x95_1*arg3>0 && arg1==arg1P_11 && arg2==arg2P_11 && arg3==arg3P_11 && arg4==arg4P_11 ], cost: 1
     12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 && arg4==arg1P_13 && 1+arg2==arg2P_13 && arg1==arg3P_13 ], cost: 1
     14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && arg4-arg3*x105_1==0 && arg1==arg1P_15 && arg2==arg2P_15 && arg3==arg3P_15 && arg4==arg4P_15 ], cost: 1
     11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 && arg4>arg3 && arg1==arg1P_12 && arg2==arg2P_12 && 1+arg3==arg3P_12 && arg4==arg4P_12 ], cost: 1
     15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4-arg3*x110_1==0 && arg4>arg3 && arg4-arg3*x110_1<arg3 && arg4-arg3*x110_1>=0 && arg4==arg1P_16 && arg2==arg2P_16 && arg1==arg3P_16 ], cost: 1
     16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1

Checking for constant complexity:
   The following rule is satisfiable with cost >= 1, yielding constant complexity:
     16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1

Removed unreachable and leaf rules:
   Start location: __init
      0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 && 0==arg3P_1 && arg2==arg5P_1 && 1==arg6P_1 ], cost: 1
      1: f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg5>1 && arg4>arg3 && arg7>0 && arg4>0 && arg1>=arg1P_2 && arg2>=arg1P_2 && arg1>0 && arg2>0 && arg1P_2>0 && arg2P_2>0 && arg2>=2+arg7 && arg2>=2+arg6 && 1+arg3==arg3P_2 && arg4==arg4P_2 && arg5==arg5P_2 ], cost: 1
      3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && arg7==arg2P_4 && 1+arg6==arg4P_4 && arg7==arg5P_4 ], cost: 1
      7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && 1==arg1P_8 && 0==arg2P_8 && arg6==arg3P_8 ], cost: 1
      5: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, arg7'=arg7P_6, [ -arg3*x76_1+arg2==0 && x77_1<=arg1 && arg1>0 && x77_1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 && arg1==arg1P_6 && arg2==arg2P_6 && arg3==arg3P_6 && arg4==arg4P_6 && arg5==arg5P_6 ], cost: 1
      6: f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ arg2-arg3*x85_1==0 && arg1P_7<=arg1 && arg1>0 && arg1P_7>0 && 2+arg4<=arg1 && 2+arg5<=arg1 && -arg3*arg2P_7+arg2>=0 && arg3>-arg3*arg2P_7+arg2 && arg3>arg2-arg3*x85_1 && arg2-arg3*x85_1>=0 && arg3==arg3P_7 && arg4==arg4P_7 && arg5==arg5P_7 ], cost: 1
      8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 && arg3==arg1P_9 && arg2==arg2P_9 && 2==arg3P_9 && 1+arg1==arg4P_9 ], cost: 1
     13: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg3>arg2 && arg1<1 && 1+arg1==arg1P_14 && arg2==arg2P_14 && arg3==arg3P_14 ], cost: 1
      9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && arg4-arg3*x90_1<0 && arg1==arg1P_10 && arg2==arg2P_10 && arg3==arg3P_10 && arg4==arg4P_10 ], cost: 1
     10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && arg4-x95_1*arg3>0 && arg1==arg1P_11 && arg2==arg2P_11 && arg3==arg3P_11 && arg4==arg4P_11 ], cost: 1
     12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 && arg4==arg1P_13 && 1+arg2==arg2P_13 && arg1==arg3P_13 ], cost: 1
     14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && arg4-arg3*x105_1==0 && arg1==arg1P_15 && arg2==arg2P_15 && arg3==arg3P_15 && arg4==arg4P_15 ], cost: 1
     11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 && arg4>arg3 && arg1==arg1P_12 && arg2==arg2P_12 && 1+arg3==arg3P_12 && arg4==arg4P_12 ], cost: 1
     15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4-arg3*x110_1==0 && arg4>arg3 && arg4-arg3*x110_1<arg3 && arg4-arg3*x110_1>=0 && arg4==arg1P_16 && arg2==arg2P_16 && arg1==arg3P_16 ], cost: 1
     16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1

Simplified all rules, resulting in:
   Start location: __init
      0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 ], cost: 1
      1: f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1+arg3, arg6'=arg6P_2, arg7'=arg7P_2, [ arg5>1 && arg4>arg3 && arg7>0 && arg4>0 && arg1>=arg1P_2 && arg2>=arg1P_2 && arg1>0 && arg2>0 && arg1P_2>0 && arg2P_2>0 && arg2>=2+arg7 && arg2>=2+arg6 ], cost: 1
      3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg7, arg3'=arg3P_4, arg4'=1+arg6, arg5'=arg7, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
      7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
      5: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg6'=arg6P_6, arg7'=arg7P_6, [ -arg3*x76_1+arg2==0 && arg1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 ], cost: 1
      6: f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ arg2-arg3*x85_1==0 && arg1P_7<=arg1 && arg1>0 && arg1P_7>0 && 2+arg4<=arg1 && 2+arg5<=arg1 && -arg3*arg2P_7+arg2>=0 && arg3>-arg3*arg2P_7+arg2 ], cost: 1
      8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1
     13: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg3>arg2 && arg1<1 ], cost: 1
      9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && arg4-arg3*x90_1<0 ], cost: 1
     10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && arg4-x95_1*arg3>0 ], cost: 1
     12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1
     14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && arg4-arg3*x105_1==0 ], cost: 1
     11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 && arg4>arg3 ], cost: 1
     15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4-arg3*x110_1==0 && arg4>arg3 && arg4-arg3*x110_1<arg3 ], cost: 1
     16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1

### Simplification by acceleration and chaining ###

Accelerating simple loops of location 1.
   Accelerating the following rules:
      1: f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1+arg3, arg6'=arg6P_2, arg7'=arg7P_2, [ arg5>1 && arg4>arg3 && arg7>0 && arg4>0 && arg1>=arg1P_2 && arg2>=arg1P_2 && arg1>0 && arg2>0 && arg1P_2>0 && arg2P_2>0 && arg2>=2+arg7 && arg2>=2+arg6 ], cost: 1

   Accelerated rule 1 with metering function -arg3+arg4 (after strengthening guard), yielding the new rule 17.
   Removing the simple loops:.

Accelerating simple loops of location 6.
   Accelerating the following rules:
     13: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg3>arg2 && arg1<1 ], cost: 1

   Accelerated rule 13 with metering function 1-arg1, yielding the new rule 18.
   Removing the simple loops: 13.

Accelerated all simple loops using metering functions (where possible):
   Start location: __init
      0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 ], cost: 1
      1: f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1+arg3, arg6'=arg6P_2, arg7'=arg7P_2, [ arg5>1 && arg4>arg3 && arg7>0 && arg4>0 && arg1>=arg1P_2 && arg2>=arg1P_2 && arg1>0 && arg2>0 && arg1P_2>0 && arg2P_2>0 && arg2>=2+arg7 && arg2>=2+arg6 ], cost: 1
      3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg7, arg3'=arg3P_4, arg4'=1+arg6, arg5'=arg7, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
      7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
     17: f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg4, arg6'=arg6P_2, arg7'=arg7P_2, [ arg5>1 && arg4>arg3 && arg7>0 && arg4>0 && arg1>=arg1P_2 && arg2>=arg1P_2 && arg1>0 && arg2>0 && arg1P_2>0 && arg2P_2>0 && arg2>=2+arg7 && arg2>=2+arg6 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 ], cost: -arg3+arg4
      5: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg6'=arg6P_6, arg7'=arg7P_6, [ -arg3*x76_1+arg2==0 && arg1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 ], cost: 1
      6: f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ arg2-arg3*x85_1==0 && arg1P_7<=arg1 && arg1>0 && arg1P_7>0 && 2+arg4<=arg1 && 2+arg5<=arg1 && -arg3*arg2P_7+arg2>=0 && arg3>-arg3*arg2P_7+arg2 ], cost: 1
      8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1
     18: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg3>arg2 && arg1<1 ], cost: 1-arg1
      9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && arg4-arg3*x90_1<0 ], cost: 1
     10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && arg4-x95_1*arg3>0 ], cost: 1
     12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1
     14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && arg4-arg3*x105_1==0 ], cost: 1
     11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 && arg4>arg3 ], cost: 1
     15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4-arg3*x110_1==0 && arg4>arg3 && arg4-arg3*x110_1<arg3 ], cost: 1
     16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1

Chained accelerated rules (with incoming rules):
   Start location: __init
      0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 ], cost: 1
     19: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2>1 && arg1>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1 ], cost: 2
     20: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg4P_1, arg4'=arg4P_1, arg5'=arg2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2>1 && arg1>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1 ], cost: 1+arg4P_1
      3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg7, arg3'=arg3P_4, arg4'=1+arg6, arg5'=arg7, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
      7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
      5: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg6'=arg6P_6, arg7'=arg7P_6, [ -arg3*x76_1+arg2==0 && arg1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 ], cost: 1
      6: f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ arg2-arg3*x85_1==0 && arg1P_7<=arg1 && arg1>0 && arg1P_7>0 && 2+arg4<=arg1 && 2+arg5<=arg1 && -arg3*arg2P_7+arg2>=0 && arg3>-arg3*arg2P_7+arg2 ], cost: 1
      8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1
      9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && arg4-arg3*x90_1<0 ], cost: 1
     10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && arg4-x95_1*arg3>0 ], cost: 1
     12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1
     14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && arg4-arg3*x105_1==0 ], cost: 1
     21: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && arg4<1 ], cost: 2-arg4
     11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 && arg4>arg3 ], cost: 1
     15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4-arg3*x110_1==0 && arg4>arg3 && arg4-arg3*x110_1<arg3 ], cost: 1
     16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1

Eliminated locations (on linear paths):
   Start location: __init
      0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 ], cost: 1
     19: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2>1 && arg1>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1 ], cost: 2
     20: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg4P_1, arg4'=arg4P_1, arg5'=arg2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2>1 && arg1>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1 ], cost: 1+arg4P_1
      3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg7, arg3'=arg3P_4, arg4'=1+arg6, arg5'=arg7, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
      7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
     22: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ -arg3*x76_1+arg2==0 && arg1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 && arg2-arg3*x85_1==0 && arg1P_7<=arg1 && arg1P_7>0 && -arg3*arg2P_7+arg2>=0 && arg3>-arg3*arg2P_7+arg2 ], cost: 2
      8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1
      9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && arg4-arg3*x90_1<0 ], cost: 1
     10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && arg4-x95_1*arg3>0 ], cost: 1
     12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1
     14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && arg4-arg3*x105_1==0 ], cost: 1
     21: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && arg4<1 ], cost: 2-arg4
     11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 && arg4>arg3 ], cost: 1
     15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4-arg3*x110_1==0 && arg4>arg3 && arg4-arg3*x110_1<arg3 ], cost: 1
     16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1

Accelerating simple loops of location 3.
   Accelerating the following rules:
     22: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ -arg3*x76_1+arg2==0 && arg1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 && arg2-arg3*x85_1==0 && arg1P_7<=arg1 && arg1P_7>0 && -arg3*arg2P_7+arg2>=0 && arg3>-arg3*arg2P_7+arg2 ], cost: 2

   Found no metering function for rule 22 (rule is too complicated).
   Removing the simple loops:.

Accelerated all simple loops using metering functions (where possible):
   Start location: __init
      0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 ], cost: 1
     19: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2>1 && arg1>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1 ], cost: 2
     20: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg4P_1, arg4'=arg4P_1, arg5'=arg2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2>1 && arg1>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1 ], cost: 1+arg4P_1
      3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg7, arg3'=arg3P_4, arg4'=1+arg6, arg5'=arg7, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
      7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
     22: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ -arg3*x76_1+arg2==0 && arg1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 && arg2-arg3*x85_1==0 && arg1P_7<=arg1 && arg1P_7>0 && -arg3*arg2P_7+arg2>=0 && arg3>-arg3*arg2P_7+arg2 ], cost: 2
      8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1
      9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && arg4-arg3*x90_1<0 ], cost: 1
     10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && arg4-x95_1*arg3>0 ], cost: 1
     12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1
     14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && arg4-arg3*x105_1==0 ], cost: 1
     21: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && arg4<1 ], cost: 2-arg4
     11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 && arg4>arg3 ], cost: 1
     15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4-arg3*x110_1==0 && arg4>arg3 && arg4-arg3*x110_1<arg3 ], cost: 1
     16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1

Chained accelerated rules (with incoming rules):
   Start location: __init
      0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 ], cost: 1
     19: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2>1 && arg1>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1 ], cost: 2
     20: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg4P_1, arg4'=arg4P_1, arg5'=arg2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2>1 && arg1>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1 ], cost: 1+arg4P_1
      3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg7, arg3'=arg3P_4, arg4'=1+arg6, arg5'=arg7, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
      7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
     23: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_4, arg4'=1+arg6, arg5'=arg7, arg6'=arg6P_7, arg7'=arg7P_7, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && -x76_1*arg3P_4+arg7==0 && arg7-x85_1*arg3P_4==0 && arg1P_7>0 && arg7-arg2P_7*arg3P_4>=0 && arg3P_4>arg7-arg2P_7*arg3P_4 && arg1P_7<=1+arg2 ], cost: 3
      8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1
      9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && arg4-arg3*x90_1<0 ], cost: 1
     10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && arg4-x95_1*arg3>0 ], cost: 1
     12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1
     14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && arg4-arg3*x105_1==0 ], cost: 1
     21: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && arg4<1 ], cost: 2-arg4
     11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 && arg4>arg3 ], cost: 1
     15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4-arg3*x110_1==0 && arg4>arg3 && arg4-arg3*x110_1<arg3 ], cost: 1
     16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1

Removed unreachable locations (and leaf rules with constant cost):
   Start location: __init
      0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 ], cost: 1
     19: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2>1 && arg1>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1 ], cost: 2
     20: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg4P_1, arg4'=arg4P_1, arg5'=arg2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2>1 && arg1>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1 ], cost: 1+arg4P_1
      7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
      8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1
      9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && arg4-arg3*x90_1<0 ], cost: 1
     10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && arg4-x95_1*arg3>0 ], cost: 1
     12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1
     14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && arg4-arg3*x105_1==0 ], cost: 1
     21: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && arg4<1 ], cost: 2-arg4
     11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 && arg4>arg3 ], cost: 1
     15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4-arg3*x110_1==0 && arg4>arg3 && arg4-arg3*x110_1<arg3 ], cost: 1
     16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1

Eliminated locations (on tree-shaped paths):
   Start location: __init
      7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
      8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1
     12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1
     21: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && arg4<1 ], cost: 2-arg4
     27: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && arg4-arg3*x90_1<0 && arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 ], cost: 2
     28: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && arg4-arg3*x90_1<0 && arg4-arg3*x110_1==0 && arg4-arg3*x110_1<arg3 ], cost: 2
     29: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && arg4-x95_1*arg3>0 && arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 ], cost: 2
     30: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && arg4-x95_1*arg3>0 && arg4-arg3*x110_1==0 && arg4-arg3*x110_1<arg3 ], cost: 2
     31: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && arg4-arg3*x105_1==0 && arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 ], cost: 2
     32: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && arg4-arg3*x105_1==0 && arg4-arg3*x110_1==0 && arg4-arg3*x110_1<arg3 ], cost: 2
     24: __init -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2P_17, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 ], cost: 2
     25: __init -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2P_17, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2P_17>1 && arg1P_17>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 ], cost: 3
     26: __init -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg4P_1, arg4'=arg4P_1, arg5'=arg2P_17, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2P_17>1 && arg1P_17>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1P_17 ], cost: 2+arg4P_1

Accelerating simple loops of location 7.
   Accelerating the following rules:
     27: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && arg4-arg3*x90_1<0 && arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 ], cost: 2
     29: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && arg4-x95_1*arg3>0 && arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 ], cost: 2
     31: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && arg4-arg3*x105_1==0 && arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 ], cost: 2

   Found no metering function for rule 27 (rule is too complicated).
   Found no metering function for rule 29 (rule is too complicated).
   Found no metering function for rule 31 (rule is too complicated).
   Removing the simple loops:.

Accelerated all simple loops using metering functions (where possible):
   Start location: __init
      7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
      8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1
     12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1
     21: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && arg4<1 ], cost: 2-arg4
     27: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && arg4-arg3*x90_1<0 && arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 ], cost: 2
     28: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && arg4-arg3*x90_1<0 && arg4-arg3*x110_1==0 && arg4-arg3*x110_1<arg3 ], cost: 2
     29: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && arg4-x95_1*arg3>0 && arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 ], cost: 2
     30: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && arg4-x95_1*arg3>0 && arg4-arg3*x110_1==0 && arg4-arg3*x110_1<arg3 ], cost: 2
     31: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && arg4-arg3*x105_1==0 && arg4-arg3*x100_1>0 && arg4-arg3*x100_1<arg3 ], cost: 2
     32: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && arg4-arg3*x105_1==0 && arg4-arg3*x110_1==0 && arg4-arg3*x110_1<arg3 ], cost: 2
     24: __init -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2P_17, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 ], cost: 2
     25: __init -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2P_17, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2P_17>1 && arg1P_17>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 ], cost: 3
     26: __init -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg4P_1, arg4'=arg4P_1, arg5'=arg2P_17, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2P_17>1 && arg1P_17>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1P_17 ], cost: 2+arg4P_1

Chained accelerated rules (with incoming rules):
   Start location: __init
      7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1
      8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1
     33: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=3, arg4'=1+arg1, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg3>arg2 && 1+arg1>2 && 1-2*x90_1+arg1<0 && -arg1+2*x100_1==0 ], cost: 3
     34: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=3, arg4'=1+arg1, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg3>arg2 && 1+arg1>2 && 1-2*x95_1+arg1>0 && -arg1+2*x100_1==0 ], cost: 3
     12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1
     21: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && arg4<1 ], cost: 2-arg4
     28: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && arg4-arg3*x90_1<0 && arg4-arg3*x110_1==0 && arg4-arg3*x110_1<arg3 ], cost: 2
     30: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && arg4-x95_1*arg3>0 && arg4-arg3*x110_1==0 && arg4-arg3*x110_1<arg3 ], cost: 2
     32: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && arg4-arg3*x105_1==0 && arg4-arg3*x110_1==0 && arg4-arg3*x110_1<arg3 ], cost: 2
     24: __init -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2P_17, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 ], cost: 2
     25: __init -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2P_17, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2P_17>1 && arg1P_17>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 ], cost: 3
     26: __init -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg4P_1, arg4'=arg4P_1, arg5'=arg2P_17, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2P_17>1 && arg1P_17>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1P_17 ], cost: 2+arg4P_1

Eliminated locations (on tree-shaped paths):
   Start location: __init
     38: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg2'=1+arg2, arg3'=arg3, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg3>arg2 && arg1>0 && 1+arg1<=2 ], cost: 2
     39: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1-2*x90_1+arg1<0 && 1-2*x110_1+arg1==0 ], cost: 3
     40: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1-2*x95_1+arg1>0 && 1-2*x110_1+arg1==0 ], cost: 3
     41: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1+arg1-2*x105_1==0 && 1-2*x110_1+arg1==0 ], cost: 3
     42: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg2'=1+arg2, arg3'=arg3, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg3>arg2 && 1+arg1>2 && 1-2*x90_1+arg1<0 && -arg1+2*x100_1==0 && 1+arg1<=3 ], cost: 4
     43: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && -arg1+2*x100_1==0 && 1+arg1>3 && 1-3*x90_1+arg1<0 && 1-3*x110_1+arg1==0 ], cost: 5
     44: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && -arg1+2*x100_1==0 && 1+arg1>3 && 1-3*x95_1+arg1>0 && 1-3*x110_1+arg1==0 ], cost: 5
     45: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && -arg1+2*x100_1==0 && 1+arg1>3 && 1+arg1-3*x105_1==0 && 1-3*x110_1+arg1==0 ], cost: 5
     46: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg2'=1+arg2, arg3'=arg3, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg3>arg2 && 1+arg1>2 && 1-2*x95_1+arg1>0 && -arg1+2*x100_1==0 && 1+arg1<=3 ], cost: 4
     47: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x95_1+arg1>0 && -arg1+2*x100_1==0 && 1+arg1>3 && 1-3*x90_1+arg1<0 && 1-3*x110_1+arg1==0 ], cost: 5
     48: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x95_1+arg1>0 && -arg1+2*x100_1==0 && 1+arg1>3 && 1-3*x95_1+arg1>0 && 1-3*x110_1+arg1==0 ], cost: 5
     49: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x95_1+arg1>0 && -arg1+2*x100_1==0 && 1+arg1>3 && 1+arg1-3*x105_1==0 && 1-3*x110_1+arg1==0 ], cost: 5
     35: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 && arg4P_1>0 && 2+arg7P_1<=arg2P_1 ], cost: 3
     36: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6P_2, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg1P_17>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 && arg4P_1>1 && arg7P_2>0 && 2+arg7P_2<=arg2P_2 && 2+arg6P_2<=arg2P_2 ], cost: 4
     37: __init -> [14] : [ arg2P_17>1 && arg1P_17>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1P_17 ], cost: 2+arg4P_1

Applied pruning (of leafs and parallel rules):
   Start location: __init
     38: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg2'=1+arg2, arg3'=arg3, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg3>arg2 && arg1>0 && 1+arg1<=2 ], cost: 2
     39: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1-2*x90_1+arg1<0 && 1-2*x110_1+arg1==0 ], cost: 3
     41: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1+arg1-2*x105_1==0 && 1-2*x110_1+arg1==0 ], cost: 3
     43: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && -arg1+2*x100_1==0 && 1+arg1>3 && 1-3*x90_1+arg1<0 && 1-3*x110_1+arg1==0 ], cost: 5
     44: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && -arg1+2*x100_1==0 && 1+arg1>3 && 1-3*x95_1+arg1>0 && 1-3*x110_1+arg1==0 ], cost: 5
     35: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 && arg4P_1>0 && 2+arg7P_1<=arg2P_1 ], cost: 3
     36: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6P_2, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg1P_17>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 && arg4P_1>1 && arg7P_2>0 && 2+arg7P_2<=arg2P_2 && 2+arg6P_2<=arg2P_2 ], cost: 4
     37: __init -> [14] : [ arg2P_17>1 && arg1P_17>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1P_17 ], cost: 2+arg4P_1

Accelerating simple loops of location 6.
   Simplified some of the simple loops (and removed duplicate rules).
   Accelerating the following rules:
     38: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg2'=1+arg2, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg3>arg2 && 1-arg1==0 ], cost: 2
     39: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1-2*x90_1+arg1<0 && 1-2*x110_1+arg1==0 ], cost: 3
     41: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1+arg1-2*x105_1==0 && 1-2*x110_1+arg1==0 ], cost: 3
     43: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && -arg1+2*x100_1==0 && 1+arg1>3 && 1-3*x90_1+arg1<0 && 1-3*x110_1+arg1==0 ], cost: 5
     44: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && -arg1+2*x100_1==0 && 1+arg1>3 && 1-3*x95_1+arg1>0 && 1-3*x110_1+arg1==0 ], cost: 5

   Accelerated rule 38 with metering function 1-arg1, yielding the new rule 50.
   Accelerated rule 39 with metering function 2*x110_1-arg1, yielding the new rule 51.
   Accelerated rule 41 with metering function -1+x110_1-arg1+x105_1, yielding the new rule 52.
   Accelerated rule 43 with metering function meter (where 3*meter==-1+3*x110_1-3*arg1+4*x100_1), yielding the new rule 53.
   Accelerated rule 44 with metering function meter_1 (where 3*meter_1==-1+3*x110_1-3*arg1+4*x100_1), yielding the new rule 54.
   Removing the simple loops: 38 39 41 43 44.

Accelerated all simple loops using metering functions (where possible):
   Start location: __init
     50: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1-arg1+arg2, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg3>arg2 && 1-arg1==0 && 1-arg1>=1 ], cost: 2-2*arg1
     51: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2*x110_1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1-2*x90_1+arg1<0 && 1-2*x110_1+arg1==0 ], cost: 6*x110_1-3*arg1
     52: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=-1+x110_1+x105_1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1+arg1-2*x105_1==0 && 1-2*x110_1+arg1==0 && -1+x110_1-arg1+x105_1>=1 ], cost: -3+3*x110_1-3*arg1+3*x105_1
     53: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=meter+arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && -arg1+2*x100_1==0 && 1+arg1>3 && 1-3*x90_1+arg1<0 && 1-3*x110_1+arg1==0 && 3*meter==-1+3*x110_1-3*arg1+4*x100_1 && meter>=1 ], cost: 5*meter
     54: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=meter_1+arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && -arg1+2*x100_1==0 && 1+arg1>3 && 1-3*x95_1+arg1>0 && 1-3*x110_1+arg1==0 && 3*meter_1==-1+3*x110_1-3*arg1+4*x100_1 && meter_1>=1 ], cost: 5*meter_1
     35: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 && arg4P_1>0 && 2+arg7P_1<=arg2P_1 ], cost: 3
     36: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6P_2, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg1P_17>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 && arg4P_1>1 && arg7P_2>0 && 2+arg7P_2<=arg2P_2 && 2+arg6P_2<=arg2P_2 ], cost: 4
     37: __init -> [14] : [ arg2P_17>1 && arg1P_17>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1P_17 ], cost: 2+arg4P_1

Chained accelerated rules (with incoming rules):
   Start location: __init
     35: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 && arg4P_1>0 && 2+arg7P_1<=arg2P_1 ], cost: 3
     36: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6P_2, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg1P_17>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 && arg4P_1>1 && arg7P_2>0 && 2+arg7P_2<=arg2P_2 && 2+arg6P_2<=arg2P_2 ], cost: 4
     37: __init -> [14] : [ arg2P_17>1 && arg1P_17>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1P_17 ], cost: 2+arg4P_1

Removed unreachable locations (and leaf rules with constant cost):
   Start location: __init
     37: __init -> [14] : [ arg2P_17>1 && arg1P_17>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1P_17 ], cost: 2+arg4P_1

### Computing asymptotic complexity ###

Fully simplified ITS problem
   Start location: __init
     37: __init -> [14] : [ arg2P_17>1 && arg1P_17>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1P_17 ], cost: 2+arg4P_1

Computing asymptotic complexity for rule 37
   Simplified the guard:
     37: __init -> [14] : [ arg2P_17>1 && arg4P_1>0 && arg1P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1P_17 ], cost: 2+arg4P_1
   Solved the limit problem by the following transformations:
      Created initial limit problem:
      -1-arg7P_2+arg2P_2 (+/+!), arg1P_2 (+/+!), -1-arg6P_2+arg2P_2 (+/+!), 1-arg1P_2+arg2P_2 (+/+!), arg7P_2 (+/+!), 2+arg4P_1 (+), arg4P_1 (+/+!), -1+arg2P_17 (+/+!), 1-arg1P_2+arg1P_17 (+/+!) [not solved]

      removing all constraints (solved by SMT)
      resulting limit problem: [solved]

      applying transformation rule (C) using substitution {arg6P_2==-2+n,arg2P_17==n,arg1P_2==n,arg1P_17==n,arg7P_2==1,arg4P_1==n,arg2P_2==n}
      resulting limit problem:
      [solved]

   Solution:
      arg6P_2 / -2+n
      arg2P_17 / n
      arg1P_2 / n
      arg1P_17 / n
      arg7P_2 / 1
      arg4P_1 / n
      arg2P_2 / n
   Resulting cost 2+n has complexity: Unbounded

Found new complexity Unbounded.

Obtained the following overall complexity (w.r.t. the length of the input n):
   Complexity:  Unbounded
   Cpx degree:  Unbounded
   Solved cost: 2+n
   Rule cost:   2+arg4P_1
   Rule guard:  [ arg2P_17>1 && arg4P_1>0 && arg1P_2>0 && arg2P_2>=arg1P_2 && arg2P_2>=2+arg7P_2 && arg2P_2>=2+arg6P_2 && arg7P_2>0 && arg1P_2<=arg1P_17 ]

WORST_CASE(INF,?)