NO

Initial ITS
Start location: __init
   0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (arg1 > 0 /\ -arg5P0+arg2 == 0 /\ -arg1+arg1P0 <= 0 /\ -arg3P0 == 0 /\ -1+arg2 > 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ 1-arg6P0 == 0 /\ 1+arg4P0 > 0), cost: 1
   1: f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg3P1, arg5'=arg5P1, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P1, (arg1 > 0 /\ arg5-arg5P1 == 0 /\ -arg4P1+arg4 == 0 /\ 1+arg3-arg3P1 == 0 /\ arg2 > 0 /\ arg1P1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ arg1-arg1P1 >= 0 /\ arg2-arg1P1 >= 0 /\ -2-arg6+arg2 >= 0 /\ -2+arg2-arg7 >= 0 /\ arg4 > 0 /\ arg2P1 > 0 /\ -arg3+arg4 > 0), cost: 1
   3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg5P3, arg2'=arg2P3, arg7'=arg7P3, arg4'=arg4P3, (arg1 > 0 /\ -arg2P3+arg7 == 0 /\ arg2 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 1+arg6-arg4P3 == 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ arg7-arg5P3 == 0 /\ -arg3+arg4 > 0 /\ arg1P3 > 0 /\ -1-arg2+arg1P3 <= 0), cost: 1
   7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P7, arg6'=arg6P7, arg3'=arg3P7, arg5'=arg5P7, arg2'=arg2P7, arg7'=arg7P7, arg4'=arg4P7, (arg1 > 0 /\ arg6-arg3P7 == 0 /\ 1-arg1P7 == 0 /\ -arg2P7 == 0 /\ arg2 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
   2: f958_0_getNext_Return -> f731_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg7'=arg7P2, arg4'=arg4P2, (arg1 > 0 /\ -arg1+arg1P2 <= 0 /\ arg2P2 > 0 /\ -arg7P2+arg7 == 0 /\ arg3-arg4P2 == 0 /\ -arg2+arg1P2 <= 0 /\ arg5-arg5P2 == 0 /\ arg2 > 0 /\ 1-arg3P2+arg4 == 0 /\ arg6-arg6P2 == 0 /\ arg1P2 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg2P2-arg2 <= 0), cost: 1
   5: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg1'=arg1P5, arg6'=arg6P5, arg3'=arg3P5, arg5'=arg5P5, arg2'=arg2P5, arg7'=arg7P5, arg4'=arg4P5, (arg1 > 0 /\ arg3-arg3P5 == 0 /\ -arg2P5+arg2 == 0 /\ -arg1+x770 <= 0 /\ 2-arg1+arg5 <= 0 /\ x770 > 0 /\ -arg4P5+arg4 == 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0 /\ arg1-arg1P5 == 0 /\ arg5-arg5P5 == 0), cost: 1
   4: f873_0_findKthPrime_Return -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg3P4, arg5'=arg5P4, arg2'=arg2P4, arg7'=arg7P4, arg4'=arg4P4, (arg1 > 0 /\ arg2-arg3P4 == 0 /\ arg1P4 > 0 /\ -1-arg1+arg1P4 <= 0 /\ -arg5P4+arg4 == 0 /\ 2-arg1+arg4 <= 0 /\ 1+arg3-arg4P4 == 0 /\ 2-arg1+arg3 <= 0 /\ -arg2P4+arg4 == 0), cost: 1
   6: f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg3'=arg3P6, arg5'=arg5P6, arg2'=arg2P6, arg7'=arg7P6, arg4'=arg4P6, (arg1 > 0 /\ -arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ arg3-arg3P6 == 0 /\ arg3+arg3*x850-arg2 > 0 /\ 2-arg1+arg4 <= 0 /\ -arg3*x850+arg2 >= 0 /\ -arg3*x850+arg2 == 0 /\ -arg4P6+arg4 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg5-arg5P6 == 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 1
   8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg1P8, arg6'=arg6P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg7'=arg7P8, arg4'=arg4P8, (arg1 > 0 /\ arg3-arg2 > 0 /\ arg3-arg1P8 == 0 /\ arg2-arg2P8 == 0 /\ 2-arg3P8 == 0 /\ 1+arg1-arg4P8 == 0), cost: 1
  13: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P13, arg6'=arg6P13, arg3'=arg3P13, arg5'=arg5P13, arg2'=arg2P13, arg7'=arg7P13, arg4'=arg4P13, (1+arg1-arg1P13 == 0 /\ arg3-arg2 > 0 /\ arg3-arg3P13 == 0 /\ -1+arg1 < 0 /\ -arg2P13+arg2 == 0), cost: 1
   9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P9, arg6'=arg6P9, arg3'=arg3P9, arg5'=arg5P9, arg2'=arg2P9, arg7'=arg7P9, arg4'=arg4P9, (arg2-arg2P9 == 0 /\ -x900*arg3+arg4 < 0 /\ -arg4P9+arg4 == 0 /\ arg3-arg3P9 == 0 /\ arg1-arg1P9 == 0 /\ -arg3+arg4 > 0), cost: 1
  10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P10, arg6'=arg6P10, arg3'=arg3P10, arg5'=arg5P10, arg2'=arg2P10, arg7'=arg7P10, arg4'=arg4P10, (-arg3*x950+arg4 > 0 /\ arg1-arg1P10 == 0 /\ -arg4P10+arg4 == 0 /\ -arg2P10+arg2 == 0 /\ arg3-arg3P10 == 0 /\ -arg3+arg4 > 0), cost: 1
  12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P12, arg6'=arg6P12, arg3'=arg3P12, arg5'=arg5P12, arg2'=arg2P12, arg7'=arg7P12, arg4'=arg4P12, (-arg1P12+arg4 == 0 /\ arg1-arg3P12 == 0 /\ 1-arg2P12+arg2 == 0 /\ -arg3+arg4 <= 0), cost: 1
  14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P14, arg6'=arg6P14, arg3'=arg3P14, arg5'=arg5P14, arg2'=arg2P14, arg7'=arg7P14, arg4'=arg4P14, (-arg3*x1050+arg4 == 0 /\ arg3-arg3P14 == 0 /\ arg1-arg1P14 == 0 /\ -arg4P14+arg4 == 0 /\ -arg2P14+arg2 == 0 /\ -arg3+arg4 > 0), cost: 1
  11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg1'=arg1P11, arg6'=arg6P11, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg7'=arg7P11, arg4'=arg4P11, (arg2-arg2P11 == 0 /\ arg4-arg3*x1000 > 0 /\ 1+arg3-arg3P11 == 0 /\ arg1-arg1P11 == 0 /\ -arg3+arg4-arg3*x1000 < 0 /\ -arg4P11+arg4 == 0 /\ -arg3+arg4 > 0), cost: 1
  15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg1P15, arg6'=arg6P15, arg3'=arg3P15, arg5'=arg5P15, arg2'=arg2P15, arg7'=arg7P15, arg4'=arg4P15, (-arg1P15+arg4 == 0 /\ -arg3*x1100-arg3+arg4 < 0 /\ -arg3*x1100+arg4 >= 0 /\ -arg3*x1100+arg4 == 0 /\ arg1-arg3P15 == 0 /\ -arg3+arg4 > 0 /\ -arg2P15+arg2 == 0), cost: 1
  16: __init -> f1_0_main_Load : arg1'=arg1P16, arg6'=arg6P16, arg3'=arg3P16, arg5'=arg5P16, arg2'=arg2P16, arg7'=arg7P16, arg4'=arg4P16, TRUE, cost: 1


Removed unreachable rules and leafs
Start location: __init
   0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (arg1 > 0 /\ -arg5P0+arg2 == 0 /\ -arg1+arg1P0 <= 0 /\ -arg3P0 == 0 /\ -1+arg2 > 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ 1-arg6P0 == 0 /\ 1+arg4P0 > 0), cost: 1
   1: f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg3P1, arg5'=arg5P1, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P1, (arg1 > 0 /\ arg5-arg5P1 == 0 /\ -arg4P1+arg4 == 0 /\ 1+arg3-arg3P1 == 0 /\ arg2 > 0 /\ arg1P1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ arg1-arg1P1 >= 0 /\ arg2-arg1P1 >= 0 /\ -2-arg6+arg2 >= 0 /\ -2+arg2-arg7 >= 0 /\ arg4 > 0 /\ arg2P1 > 0 /\ -arg3+arg4 > 0), cost: 1
   3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg5P3, arg2'=arg2P3, arg7'=arg7P3, arg4'=arg4P3, (arg1 > 0 /\ -arg2P3+arg7 == 0 /\ arg2 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 1+arg6-arg4P3 == 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ arg7-arg5P3 == 0 /\ -arg3+arg4 > 0 /\ arg1P3 > 0 /\ -1-arg2+arg1P3 <= 0), cost: 1
   7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P7, arg6'=arg6P7, arg3'=arg3P7, arg5'=arg5P7, arg2'=arg2P7, arg7'=arg7P7, arg4'=arg4P7, (arg1 > 0 /\ arg6-arg3P7 == 0 /\ 1-arg1P7 == 0 /\ -arg2P7 == 0 /\ arg2 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
   5: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg1'=arg1P5, arg6'=arg6P5, arg3'=arg3P5, arg5'=arg5P5, arg2'=arg2P5, arg7'=arg7P5, arg4'=arg4P5, (arg1 > 0 /\ arg3-arg3P5 == 0 /\ -arg2P5+arg2 == 0 /\ -arg1+x770 <= 0 /\ 2-arg1+arg5 <= 0 /\ x770 > 0 /\ -arg4P5+arg4 == 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0 /\ arg1-arg1P5 == 0 /\ arg5-arg5P5 == 0), cost: 1
   6: f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg3'=arg3P6, arg5'=arg5P6, arg2'=arg2P6, arg7'=arg7P6, arg4'=arg4P6, (arg1 > 0 /\ -arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ arg3-arg3P6 == 0 /\ arg3+arg3*x850-arg2 > 0 /\ 2-arg1+arg4 <= 0 /\ -arg3*x850+arg2 >= 0 /\ -arg3*x850+arg2 == 0 /\ -arg4P6+arg4 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg5-arg5P6 == 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 1
   8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg1P8, arg6'=arg6P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg7'=arg7P8, arg4'=arg4P8, (arg1 > 0 /\ arg3-arg2 > 0 /\ arg3-arg1P8 == 0 /\ arg2-arg2P8 == 0 /\ 2-arg3P8 == 0 /\ 1+arg1-arg4P8 == 0), cost: 1
  13: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P13, arg6'=arg6P13, arg3'=arg3P13, arg5'=arg5P13, arg2'=arg2P13, arg7'=arg7P13, arg4'=arg4P13, (1+arg1-arg1P13 == 0 /\ arg3-arg2 > 0 /\ arg3-arg3P13 == 0 /\ -1+arg1 < 0 /\ -arg2P13+arg2 == 0), cost: 1
   9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P9, arg6'=arg6P9, arg3'=arg3P9, arg5'=arg5P9, arg2'=arg2P9, arg7'=arg7P9, arg4'=arg4P9, (arg2-arg2P9 == 0 /\ -x900*arg3+arg4 < 0 /\ -arg4P9+arg4 == 0 /\ arg3-arg3P9 == 0 /\ arg1-arg1P9 == 0 /\ -arg3+arg4 > 0), cost: 1
  10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P10, arg6'=arg6P10, arg3'=arg3P10, arg5'=arg5P10, arg2'=arg2P10, arg7'=arg7P10, arg4'=arg4P10, (-arg3*x950+arg4 > 0 /\ arg1-arg1P10 == 0 /\ -arg4P10+arg4 == 0 /\ -arg2P10+arg2 == 0 /\ arg3-arg3P10 == 0 /\ -arg3+arg4 > 0), cost: 1
  12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P12, arg6'=arg6P12, arg3'=arg3P12, arg5'=arg5P12, arg2'=arg2P12, arg7'=arg7P12, arg4'=arg4P12, (-arg1P12+arg4 == 0 /\ arg1-arg3P12 == 0 /\ 1-arg2P12+arg2 == 0 /\ -arg3+arg4 <= 0), cost: 1
  14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P14, arg6'=arg6P14, arg3'=arg3P14, arg5'=arg5P14, arg2'=arg2P14, arg7'=arg7P14, arg4'=arg4P14, (-arg3*x1050+arg4 == 0 /\ arg3-arg3P14 == 0 /\ arg1-arg1P14 == 0 /\ -arg4P14+arg4 == 0 /\ -arg2P14+arg2 == 0 /\ -arg3+arg4 > 0), cost: 1
  11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg1'=arg1P11, arg6'=arg6P11, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg7'=arg7P11, arg4'=arg4P11, (arg2-arg2P11 == 0 /\ arg4-arg3*x1000 > 0 /\ 1+arg3-arg3P11 == 0 /\ arg1-arg1P11 == 0 /\ -arg3+arg4-arg3*x1000 < 0 /\ -arg4P11+arg4 == 0 /\ -arg3+arg4 > 0), cost: 1
  15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg1P15, arg6'=arg6P15, arg3'=arg3P15, arg5'=arg5P15, arg2'=arg2P15, arg7'=arg7P15, arg4'=arg4P15, (-arg1P15+arg4 == 0 /\ -arg3*x1100-arg3+arg4 < 0 /\ -arg3*x1100+arg4 >= 0 /\ -arg3*x1100+arg4 == 0 /\ arg1-arg3P15 == 0 /\ -arg3+arg4 > 0 /\ -arg2P15+arg2 == 0), cost: 1
  16: __init -> f1_0_main_Load : arg1'=arg1P16, arg6'=arg6P16, arg3'=arg3P16, arg5'=arg5P16, arg2'=arg2P16, arg7'=arg7P16, arg4'=arg4P16, TRUE, cost: 1


Applied preprocessing
Original rule:
f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (arg1 > 0 /\ -arg5P0+arg2 == 0 /\ -arg1+arg1P0 <= 0 /\ -arg3P0 == 0 /\ -1+arg2 > 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ 1-arg6P0 == 0 /\ 1+arg4P0 > 0), cost: 1
New rule:
f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (-arg1+arg1P0 <= 0 /\ -1+arg2 > 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ 1+arg4P0 > 0), cost: 1

Applied preprocessing
Original rule:
f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg3P1, arg5'=arg5P1, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P1, (arg1 > 0 /\ arg5-arg5P1 == 0 /\ -arg4P1+arg4 == 0 /\ 1+arg3-arg3P1 == 0 /\ arg2 > 0 /\ arg1P1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ arg1-arg1P1 >= 0 /\ arg2-arg1P1 >= 0 /\ -2-arg6+arg2 >= 0 /\ -2+arg2-arg7 >= 0 /\ arg4 > 0 /\ arg2P1 > 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=1+arg3, arg2'=arg2P1, arg7'=arg7P1, (arg1P1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ arg1-arg1P1 >= 0 /\ arg2-arg1P1 >= 0 /\ -2-arg6+arg2 >= 0 /\ -2+arg2-arg7 >= 0 /\ arg4 > 0 /\ arg2P1 > 0 /\ -arg3+arg4 > 0), cost: 1

Applied preprocessing
Original rule:
f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg5P3, arg2'=arg2P3, arg7'=arg7P3, arg4'=arg4P3, (arg1 > 0 /\ -arg2P3+arg7 == 0 /\ arg2 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 1+arg6-arg4P3 == 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ arg7-arg5P3 == 0 /\ -arg3+arg4 > 0 /\ arg1P3 > 0 /\ -1-arg2+arg1P3 <= 0), cost: 1
New rule:
f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg7, arg2'=arg7, arg7'=arg7P3, arg4'=1+arg6, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ arg1P3 > 0 /\ -1-arg2+arg1P3 <= 0), cost: 1

Applied preprocessing
Original rule:
f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg1'=arg1P5, arg6'=arg6P5, arg3'=arg3P5, arg5'=arg5P5, arg2'=arg2P5, arg7'=arg7P5, arg4'=arg4P5, (arg1 > 0 /\ arg3-arg3P5 == 0 /\ -arg2P5+arg2 == 0 /\ -arg1+x770 <= 0 /\ 2-arg1+arg5 <= 0 /\ x770 > 0 /\ -arg4P5+arg4 == 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0 /\ arg1-arg1P5 == 0 /\ arg5-arg5P5 == 0), cost: 1
New rule:
f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg6'=arg6P5, arg7'=arg7P5, (2-arg1+arg5 <= 0 /\ 1-arg1 <= 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0), cost: 1

Applied preprocessing
Original rule:
f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg3'=arg3P6, arg5'=arg5P6, arg2'=arg2P6, arg7'=arg7P6, arg4'=arg4P6, (arg1 > 0 /\ -arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ arg3-arg3P6 == 0 /\ arg3+arg3*x850-arg2 > 0 /\ 2-arg1+arg4 <= 0 /\ -arg3*x850+arg2 >= 0 /\ -arg3*x850+arg2 == 0 /\ -arg4P6+arg4 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg5-arg5P6 == 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 1
New rule:
f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg2'=arg2P6, arg7'=arg7P6, (-arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ 2-arg1+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 1

Applied preprocessing
Original rule:
f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P7, arg6'=arg6P7, arg3'=arg3P7, arg5'=arg5P7, arg2'=arg2P7, arg7'=arg7P7, arg4'=arg4P7, (arg1 > 0 /\ arg6-arg3P7 == 0 /\ 1-arg1P7 == 0 /\ -arg2P7 == 0 /\ arg2 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=arg6, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 1

Applied preprocessing
Original rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg1P8, arg6'=arg6P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg7'=arg7P8, arg4'=arg4P8, (arg1 > 0 /\ arg3-arg2 > 0 /\ arg3-arg1P8 == 0 /\ arg2-arg2P8 == 0 /\ 2-arg3P8 == 0 /\ 1+arg1-arg4P8 == 0), cost: 1
New rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1

Applied preprocessing
Original rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P9, arg6'=arg6P9, arg3'=arg3P9, arg5'=arg5P9, arg2'=arg2P9, arg7'=arg7P9, arg4'=arg4P9, (arg2-arg2P9 == 0 /\ -x900*arg3+arg4 < 0 /\ -arg4P9+arg4 == 0 /\ arg3-arg3P9 == 0 /\ arg1-arg1P9 == 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P9, arg5'=arg5P9, arg7'=arg7P9, (x900*arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1

Applied preprocessing
Original rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P10, arg6'=arg6P10, arg3'=arg3P10, arg5'=arg5P10, arg2'=arg2P10, arg7'=arg7P10, arg4'=arg4P10, (-arg3*x950+arg4 > 0 /\ arg1-arg1P10 == 0 /\ -arg4P10+arg4 == 0 /\ -arg2P10+arg2 == 0 /\ arg3-arg3P10 == 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P10, arg5'=arg5P10, arg7'=arg7P10, (-arg3*x950+arg4 > 0 /\ -arg3+arg4 > 0), cost: 1

Applied preprocessing
Original rule:
f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg1'=arg1P11, arg6'=arg6P11, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg7'=arg7P11, arg4'=arg4P11, (arg2-arg2P11 == 0 /\ arg4-arg3*x1000 > 0 /\ 1+arg3-arg3P11 == 0 /\ arg1-arg1P11 == 0 /\ -arg3+arg4-arg3*x1000 < 0 /\ -arg4P11+arg4 == 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 1

Applied preprocessing
Original rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P12, arg6'=arg6P12, arg3'=arg3P12, arg5'=arg5P12, arg2'=arg2P12, arg7'=arg7P12, arg4'=arg4P12, (-arg1P12+arg4 == 0 /\ arg1-arg3P12 == 0 /\ 1-arg2P12+arg2 == 0 /\ -arg3+arg4 <= 0), cost: 1
New rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P12, arg3'=arg1, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, -arg3+arg4 <= 0, cost: 1

Applied preprocessing
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P13, arg6'=arg6P13, arg3'=arg3P13, arg5'=arg5P13, arg2'=arg2P13, arg7'=arg7P13, arg4'=arg4P13, (1+arg1-arg1P13 == 0 /\ arg3-arg2 > 0 /\ arg3-arg3P13 == 0 /\ -1+arg1 < 0 /\ -arg2P13+arg2 == 0), cost: 1
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P13, arg5'=arg5P13, arg7'=arg7P13, arg4'=arg4P13, (arg3-arg2 > 0 /\ 1-arg1 > 0), cost: 1

Applied preprocessing
Original rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P14, arg6'=arg6P14, arg3'=arg3P14, arg5'=arg5P14, arg2'=arg2P14, arg7'=arg7P14, arg4'=arg4P14, (-arg3*x1050+arg4 == 0 /\ arg3-arg3P14 == 0 /\ arg1-arg1P14 == 0 /\ -arg4P14+arg4 == 0 /\ -arg2P14+arg2 == 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P14, arg5'=arg5P14, arg7'=arg7P14, (-arg3*x1050+arg4 == 0 /\ -arg3+arg4 > 0), cost: 1

Applied preprocessing
Original rule:
f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg1P15, arg6'=arg6P15, arg3'=arg3P15, arg5'=arg5P15, arg2'=arg2P15, arg7'=arg7P15, arg4'=arg4P15, (-arg1P15+arg4 == 0 /\ -arg3*x1100-arg3+arg4 < 0 /\ -arg3*x1100+arg4 >= 0 /\ -arg3*x1100+arg4 == 0 /\ arg1-arg3P15 == 0 /\ -arg3+arg4 > 0 /\ -arg2P15+arg2 == 0), cost: 1
New rule:
f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1

Simplified rules
Start location: __init
  17: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (-arg1+arg1P0 <= 0 /\ -1+arg2 > 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ 1+arg4P0 > 0), cost: 1
  18: f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=1+arg3, arg2'=arg2P1, arg7'=arg7P1, (arg1P1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ arg1-arg1P1 >= 0 /\ arg2-arg1P1 >= 0 /\ -2-arg6+arg2 >= 0 /\ -2+arg2-arg7 >= 0 /\ arg4 > 0 /\ arg2P1 > 0 /\ -arg3+arg4 > 0), cost: 1
  19: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg7, arg2'=arg7, arg7'=arg7P3, arg4'=1+arg6, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ arg1P3 > 0 /\ -1-arg2+arg1P3 <= 0), cost: 1
  22: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=arg6, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  20: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg6'=arg6P5, arg7'=arg7P5, (2-arg1+arg5 <= 0 /\ 1-arg1 <= 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0), cost: 1
  21: f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg2'=arg2P6, arg7'=arg7P6, (-arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ 2-arg1+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 1
  23: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
  28: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P13, arg5'=arg5P13, arg7'=arg7P13, arg4'=arg4P13, (arg3-arg2 > 0 /\ 1-arg1 > 0), cost: 1
  24: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P9, arg5'=arg5P9, arg7'=arg7P9, (x900*arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  25: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P10, arg5'=arg5P10, arg7'=arg7P10, (-arg3*x950+arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  27: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P12, arg3'=arg1, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, -arg3+arg4 <= 0, cost: 1
  29: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P14, arg5'=arg5P14, arg7'=arg7P14, (-arg3*x1050+arg4 == 0 /\ -arg3+arg4 > 0), cost: 1
  26: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 1
  30: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  16: __init -> f1_0_main_Load : arg1'=arg1P16, arg6'=arg6P16, arg3'=arg3P16, arg5'=arg5P16, arg2'=arg2P16, arg7'=arg7P16, arg4'=arg4P16, TRUE, cost: 1


Applied acceleration
Original rule:
f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=1+arg3, arg2'=arg2P1, arg7'=arg7P1, (arg1P1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ arg1-arg1P1 >= 0 /\ arg2-arg1P1 >= 0 /\ -2-arg6+arg2 >= 0 /\ -2+arg2-arg7 >= 0 /\ arg4 > 0 /\ arg2P1 > 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg3+n0, arg2'=arg2P1, arg7'=arg7P1, (arg7P1 > 0 /\ -1+n0 >= 0 /\ 1-arg3-n0+arg4 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ arg1-arg1P1 >= 0 /\ arg2-arg1P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -2-arg6+arg2 >= 0 /\ -2+arg2-arg7 >= 0 /\ arg4 > 0 /\ arg2P1 > 0), cost: n0

Applied instantiation
Original rule:
f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg3+n0, arg2'=arg2P1, arg7'=arg7P1, (arg7P1 > 0 /\ -1+n0 >= 0 /\ 1-arg3-n0+arg4 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ arg1-arg1P1 >= 0 /\ arg2-arg1P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -2-arg6+arg2 >= 0 /\ -2+arg2-arg7 >= 0 /\ arg4 > 0 /\ arg2P1 > 0), cost: n0
New rule:
f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4, arg2'=arg2P1, arg7'=arg7P1, (arg7P1 > 0 /\ 1 > 0 /\ -1-arg3+arg4 >= 0 /\ -2-arg7P1+arg2P1 >= 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ arg1-arg1P1 >= 0 /\ arg2-arg1P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -2-arg6+arg2 >= 0 /\ -2+arg2-arg7 >= 0 /\ arg4 > 0 /\ arg2P1 > 0), cost: -arg3+arg4

Applied simplification
Original rule:
f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4, arg2'=arg2P1, arg7'=arg7P1, (arg7P1 > 0 /\ 1 > 0 /\ -1-arg3+arg4 >= 0 /\ -2-arg7P1+arg2P1 >= 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ arg1-arg1P1 >= 0 /\ arg2-arg1P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -2-arg6+arg2 >= 0 /\ -2+arg2-arg7 >= 0 /\ arg4 > 0 /\ arg2P1 > 0), cost: -arg3+arg4
New rule:
f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4, arg2'=arg2P1, arg7'=arg7P1, (arg7P1 > 0 /\ -1-arg3+arg4 >= 0 /\ -2-arg7P1+arg2P1 >= 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ arg1-arg1P1 >= 0 /\ arg2-arg1P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -2-arg6+arg2 >= 0 /\ -2+arg2-arg7 >= 0 /\ arg4 > 0), cost: -arg3+arg4

Applied deletion
Removed the following rules: 18

Applied acceleration
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P13, arg5'=arg5P13, arg7'=arg7P13, arg4'=arg4P13, (arg3-arg2 > 0 /\ 1-arg1 > 0), cost: 1
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n3, arg6'=arg6P13, arg5'=arg5P13, arg7'=arg7P13, arg4'=arg4P13, (arg3-arg2 > 0 /\ -1+n3 >= 0 /\ 2-arg1-n3 > 0), cost: n3

Applied instantiation
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n3, arg6'=arg6P13, arg5'=arg5P13, arg7'=arg7P13, arg4'=arg4P13, (arg3-arg2 > 0 /\ -1+n3 >= 0 /\ 2-arg1-n3 > 0), cost: n3
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P13, arg5'=arg5P13, arg7'=arg7P13, arg4'=arg4P13, (1 > 0 /\ arg3-arg2 > 0 /\ -arg1 >= 0), cost: 1-arg1

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P13, arg5'=arg5P13, arg7'=arg7P13, arg4'=arg4P13, (1 > 0 /\ arg3-arg2 > 0 /\ -arg1 >= 0), cost: 1-arg1
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P13, arg5'=arg5P13, arg7'=arg7P13, arg4'=arg4P13, (arg1 <= 0 /\ arg3-arg2 > 0), cost: 1-arg1

Applied deletion
Removed the following rules: 28

Accelerated simple loops
Start location: __init
  17: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (-arg1+arg1P0 <= 0 /\ -1+arg2 > 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ 1+arg4P0 > 0), cost: 1
  19: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg7, arg2'=arg7, arg7'=arg7P3, arg4'=1+arg6, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ arg1P3 > 0 /\ -1-arg2+arg1P3 <= 0), cost: 1
  22: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=arg6, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  32: f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4, arg2'=arg2P1, arg7'=arg7P1, (arg7P1 > 0 /\ -1-arg3+arg4 >= 0 /\ -2-arg7P1+arg2P1 >= 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ arg1-arg1P1 >= 0 /\ arg2-arg1P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -2-arg6+arg2 >= 0 /\ -2+arg2-arg7 >= 0 /\ arg4 > 0), cost: -arg3+arg4
  20: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg6'=arg6P5, arg7'=arg7P5, (2-arg1+arg5 <= 0 /\ 1-arg1 <= 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0), cost: 1
  21: f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg2'=arg2P6, arg7'=arg7P6, (-arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ 2-arg1+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 1
  23: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
  34: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P13, arg5'=arg5P13, arg7'=arg7P13, arg4'=arg4P13, (arg1 <= 0 /\ arg3-arg2 > 0), cost: 1-arg1
  24: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P9, arg5'=arg5P9, arg7'=arg7P9, (x900*arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  25: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P10, arg5'=arg5P10, arg7'=arg7P10, (-arg3*x950+arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  27: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P12, arg3'=arg1, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, -arg3+arg4 <= 0, cost: 1
  29: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P14, arg5'=arg5P14, arg7'=arg7P14, (-arg3*x1050+arg4 == 0 /\ -arg3+arg4 > 0), cost: 1
  26: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 1
  30: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  16: __init -> f1_0_main_Load : arg1'=arg1P16, arg6'=arg6P16, arg3'=arg3P16, arg5'=arg5P16, arg2'=arg2P16, arg7'=arg7P16, arg4'=arg4P16, TRUE, cost: 1


Applied chaining
First rule:
f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (-arg1+arg1P0 <= 0 /\ -1+arg2 > 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ 1+arg4P0 > 0), cost: 1
Second rule:
f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4, arg2'=arg2P1, arg7'=arg7P1, (arg7P1 > 0 /\ -1-arg3+arg4 >= 0 /\ -2-arg7P1+arg2P1 >= 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ arg1-arg1P1 >= 0 /\ arg2-arg1P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -2-arg6+arg2 >= 0 /\ -2+arg2-arg7 >= 0 /\ arg4 > 0), cost: -arg3+arg4
New rule:
f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4P0, arg5'=arg2, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P0, (arg7P1 > 0 /\ arg4P0 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ -1+arg2 > 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -arg1+arg1P1 <= 0), cost: 1+arg4P0

Applied deletion
Removed the following rules: 32

Applied chaining
First rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P12, arg3'=arg1, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, -arg3+arg4 <= 0, cost: 1
Second rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P13, arg5'=arg5P13, arg7'=arg7P13, arg4'=arg4P13, (arg1 <= 0 /\ arg3-arg2 > 0), cost: 1-arg1
New rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P13, arg3'=arg1, arg5'=arg5P13, arg2'=1+arg2, arg7'=arg7P13, arg4'=arg4P13, (-1+arg1-arg2 > 0 /\ arg4 <= 0 /\ -arg3+arg4 <= 0), cost: 2-arg4

Applied deletion
Removed the following rules: 34

Chained accelerated rules with incoming rules
Start location: __init
  17: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (-arg1+arg1P0 <= 0 /\ -1+arg2 > 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ 1+arg4P0 > 0), cost: 1
  35: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4P0, arg5'=arg2, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P0, (arg7P1 > 0 /\ arg4P0 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ -1+arg2 > 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -arg1+arg1P1 <= 0), cost: 1+arg4P0
  19: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg7, arg2'=arg7, arg7'=arg7P3, arg4'=1+arg6, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ arg1P3 > 0 /\ -1-arg2+arg1P3 <= 0), cost: 1
  22: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=arg6, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  20: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg6'=arg6P5, arg7'=arg7P5, (2-arg1+arg5 <= 0 /\ 1-arg1 <= 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0), cost: 1
  21: f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg2'=arg2P6, arg7'=arg7P6, (-arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ 2-arg1+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 1
  23: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
  24: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P9, arg5'=arg5P9, arg7'=arg7P9, (x900*arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  25: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P10, arg5'=arg5P10, arg7'=arg7P10, (-arg3*x950+arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  27: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P12, arg3'=arg1, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, -arg3+arg4 <= 0, cost: 1
  29: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P14, arg5'=arg5P14, arg7'=arg7P14, (-arg3*x1050+arg4 == 0 /\ -arg3+arg4 > 0), cost: 1
  36: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P13, arg3'=arg1, arg5'=arg5P13, arg2'=1+arg2, arg7'=arg7P13, arg4'=arg4P13, (-1+arg1-arg2 > 0 /\ arg4 <= 0 /\ -arg3+arg4 <= 0), cost: 2-arg4
  26: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 1
  30: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  16: __init -> f1_0_main_Load : arg1'=arg1P16, arg6'=arg6P16, arg3'=arg3P16, arg5'=arg5P16, arg2'=arg2P16, arg7'=arg7P16, arg4'=arg4P16, TRUE, cost: 1


Eliminating location f1280_0_getPowerOfKInSource_IntArithmetic\' by chaining:

Applied chaining
First rule:
f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg6'=arg6P5, arg7'=arg7P5, (2-arg1+arg5 <= 0 /\ 1-arg1 <= 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0), cost: 1
Second rule:
f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg2'=arg2P6, arg7'=arg7P6, (-arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ 2-arg1+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 1
New rule:
f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg2'=arg2P6, arg7'=arg7P6, (-arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ 1-arg1 <= 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 2

Applied simplification
Original rule:
f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg2'=arg2P6, arg7'=arg7P6, (-arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ 1-arg1 <= 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 2
New rule:
f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg2'=arg2P6, arg7'=arg7P6, (-arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 2

Applied deletion
Removed the following rules: 20 21

Eliminated locations on linear paths
Start location: __init
  17: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (-arg1+arg1P0 <= 0 /\ -1+arg2 > 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ 1+arg4P0 > 0), cost: 1
  35: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4P0, arg5'=arg2, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P0, (arg7P1 > 0 /\ arg4P0 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ -1+arg2 > 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -arg1+arg1P1 <= 0), cost: 1+arg4P0
  19: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg7, arg2'=arg7, arg7'=arg7P3, arg4'=1+arg6, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ arg1P3 > 0 /\ -1-arg2+arg1P3 <= 0), cost: 1
  22: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=arg6, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  37: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg2'=arg2P6, arg7'=arg7P6, (-arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 2
  23: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
  24: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P9, arg5'=arg5P9, arg7'=arg7P9, (x900*arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  25: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P10, arg5'=arg5P10, arg7'=arg7P10, (-arg3*x950+arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  27: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P12, arg3'=arg1, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, -arg3+arg4 <= 0, cost: 1
  29: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P14, arg5'=arg5P14, arg7'=arg7P14, (-arg3*x1050+arg4 == 0 /\ -arg3+arg4 > 0), cost: 1
  36: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P13, arg3'=arg1, arg5'=arg5P13, arg2'=1+arg2, arg7'=arg7P13, arg4'=arg4P13, (-1+arg1-arg2 > 0 /\ arg4 <= 0 /\ -arg3+arg4 <= 0), cost: 2-arg4
  26: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 1
  30: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  16: __init -> f1_0_main_Load : arg1'=arg1P16, arg6'=arg6P16, arg3'=arg3P16, arg5'=arg5P16, arg2'=arg2P16, arg7'=arg7P16, arg4'=arg4P16, TRUE, cost: 1


Applied unrolling
Original rule:
f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg2'=arg2P6, arg7'=arg7P6, (-arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 2
New rule:
f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg2'=arg2P6, arg7'=arg7P6, (0 <= 0 /\ arg2P6-x760*arg3 == 0 /\ 2+arg5-arg1P6 <= 0 /\ arg2P6-arg3*arg2P6 >= 0 /\ -arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ arg2P6-arg3*x850 == 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0 /\ 2-arg1P6+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3-arg2P6+arg3*arg2P6 > 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 4

Applied non-termination processor
Original rule:
f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg2'=arg2P6, arg7'=arg7P6, (0 <= 0 /\ arg2P6-x760*arg3 == 0 /\ 2+arg5-arg1P6 <= 0 /\ arg2P6-arg3*arg2P6 >= 0 /\ -arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ arg2P6-arg3*x850 == 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0 /\ 2-arg1P6+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3-arg2P6+arg3*arg2P6 > 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 4
New rule:
f1280_0_getPowerOfKInSource_IntArithmetic -> [12] : (0 <= 0 /\ arg2P6-x760*arg3 == 0 /\ 2+arg5-arg1P6 <= 0 /\ arg2P6-arg3*arg2P6 >= 0 /\ -arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ arg2P6-arg3*x850 == 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0 /\ 2-arg1P6+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3-arg2P6+arg3*arg2P6 > 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: NONTERM

Accelerated simple loops
Start location: __init
  17: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (-arg1+arg1P0 <= 0 /\ -1+arg2 > 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ 1+arg4P0 > 0), cost: 1
  35: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4P0, arg5'=arg2, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P0, (arg7P1 > 0 /\ arg4P0 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ -1+arg2 > 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -arg1+arg1P1 <= 0), cost: 1+arg4P0
  19: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg7, arg2'=arg7, arg7'=arg7P3, arg4'=1+arg6, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ arg1P3 > 0 /\ -1-arg2+arg1P3 <= 0), cost: 1
  22: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=arg6, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  37: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg2'=arg2P6, arg7'=arg7P6, (-arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 2
  38: f1280_0_getPowerOfKInSource_IntArithmetic -> [12] : (0 <= 0 /\ arg2P6-x760*arg3 == 0 /\ 2+arg5-arg1P6 <= 0 /\ arg2P6-arg3*arg2P6 >= 0 /\ -arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ arg2P6-arg3*x850 == 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0 /\ 2-arg1P6+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3-arg2P6+arg3*arg2P6 > 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: NONTERM
  23: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
  24: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P9, arg5'=arg5P9, arg7'=arg7P9, (x900*arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  25: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P10, arg5'=arg5P10, arg7'=arg7P10, (-arg3*x950+arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  27: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P12, arg3'=arg1, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, -arg3+arg4 <= 0, cost: 1
  29: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P14, arg5'=arg5P14, arg7'=arg7P14, (-arg3*x1050+arg4 == 0 /\ -arg3+arg4 > 0), cost: 1
  36: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P13, arg3'=arg1, arg5'=arg5P13, arg2'=1+arg2, arg7'=arg7P13, arg4'=arg4P13, (-1+arg1-arg2 > 0 /\ arg4 <= 0 /\ -arg3+arg4 <= 0), cost: 2-arg4
  26: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 1
  30: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  16: __init -> f1_0_main_Load : arg1'=arg1P16, arg6'=arg6P16, arg3'=arg3P16, arg5'=arg5P16, arg2'=arg2P16, arg7'=arg7P16, arg4'=arg4P16, TRUE, cost: 1


Applied chaining
First rule:
f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg7, arg2'=arg7, arg7'=arg7P3, arg4'=1+arg6, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ arg1P3 > 0 /\ -1-arg2+arg1P3 <= 0), cost: 1
Second rule:
f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg2'=arg2P6, arg7'=arg7P6, (-arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: 2
New rule:
f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg3'=arg3P3, arg5'=arg7, arg2'=arg2P6, arg7'=arg7P6, arg4'=1+arg6, (arg1 > 0 /\ -x760*arg3P3+arg7 == 0 /\ -arg2P6*arg3P3+arg7 >= 0 /\ -x850*arg3P3+arg7 == 0 /\ arg2P6*arg3P3+arg3P3-arg7 > 0 /\ -1-arg2+arg1P6 <= 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ arg1P6 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 3

Applied chaining
First rule:
f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg7, arg2'=arg7, arg7'=arg7P3, arg4'=1+arg6, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ arg1P3 > 0 /\ -1-arg2+arg1P3 <= 0), cost: 1
Second rule:
f1280_0_getPowerOfKInSource_IntArithmetic -> [12] : (0 <= 0 /\ arg2P6-x760*arg3 == 0 /\ 2+arg5-arg1P6 <= 0 /\ arg2P6-arg3*arg2P6 >= 0 /\ -arg3*arg2P6+arg2 >= 0 /\ 2-arg1+arg5 <= 0 /\ arg2P6-arg3*x850 == 0 /\ -x760*arg3+arg2 == 0 /\ 2-arg1+arg4 <= 0 /\ 2-arg1P6+arg4 <= 0 /\ -arg3*x850+arg2 == 0 /\ arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ arg3-arg2P6+arg3*arg2P6 > 0 /\ arg3+arg3*arg2P6-arg2 > 0), cost: NONTERM
New rule:
f731_0_main_GE -> [12] : (arg1 > 0 /\ -x850*arg3P3+arg7 == 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ x850*arg3P3^2+arg3P3-arg7 > 0 /\ -x850*arg3P3^2+arg7 >= 0), cost: NONTERM

Applied deletion
Removed the following rules: 37 38

Chained accelerated rules with incoming rules
Start location: __init
  17: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (-arg1+arg1P0 <= 0 /\ -1+arg2 > 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ 1+arg4P0 > 0), cost: 1
  35: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4P0, arg5'=arg2, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P0, (arg7P1 > 0 /\ arg4P0 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ -1+arg2 > 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -arg1+arg1P1 <= 0), cost: 1+arg4P0
  19: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg7, arg2'=arg7, arg7'=arg7P3, arg4'=1+arg6, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ arg1P3 > 0 /\ -1-arg2+arg1P3 <= 0), cost: 1
  22: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=arg6, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  39: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P6, arg6'=arg6P6, arg3'=arg3P3, arg5'=arg7, arg2'=arg2P6, arg7'=arg7P6, arg4'=1+arg6, (arg1 > 0 /\ -x760*arg3P3+arg7 == 0 /\ -arg2P6*arg3P3+arg7 >= 0 /\ -x850*arg3P3+arg7 == 0 /\ arg2P6*arg3P3+arg3P3-arg7 > 0 /\ -1-arg2+arg1P6 <= 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ arg1P6 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 3
  40: f731_0_main_GE -> [12] : (arg1 > 0 /\ -x850*arg3P3+arg7 == 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ x850*arg3P3^2+arg3P3-arg7 > 0 /\ -x850*arg3P3^2+arg7 >= 0), cost: NONTERM
  23: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
  24: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P9, arg5'=arg5P9, arg7'=arg7P9, (x900*arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  25: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P10, arg5'=arg5P10, arg7'=arg7P10, (-arg3*x950+arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  27: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P12, arg3'=arg1, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, -arg3+arg4 <= 0, cost: 1
  29: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P14, arg5'=arg5P14, arg7'=arg7P14, (-arg3*x1050+arg4 == 0 /\ -arg3+arg4 > 0), cost: 1
  36: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P13, arg3'=arg1, arg5'=arg5P13, arg2'=1+arg2, arg7'=arg7P13, arg4'=arg4P13, (-1+arg1-arg2 > 0 /\ arg4 <= 0 /\ -arg3+arg4 <= 0), cost: 2-arg4
  26: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 1
  30: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  16: __init -> f1_0_main_Load : arg1'=arg1P16, arg6'=arg6P16, arg3'=arg3P16, arg5'=arg5P16, arg2'=arg2P16, arg7'=arg7P16, arg4'=arg4P16, TRUE, cost: 1


Removed unreachable locations and irrelevant leafs
Start location: __init
  17: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (-arg1+arg1P0 <= 0 /\ -1+arg2 > 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ 1+arg4P0 > 0), cost: 1
  35: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4P0, arg5'=arg2, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P0, (arg7P1 > 0 /\ arg4P0 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ -1+arg2 > 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -arg1+arg1P1 <= 0), cost: 1+arg4P0
  22: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=arg6, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  40: f731_0_main_GE -> [12] : (arg1 > 0 /\ -x850*arg3P3+arg7 == 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ x850*arg3P3^2+arg3P3-arg7 > 0 /\ -x850*arg3P3^2+arg7 >= 0), cost: NONTERM
  23: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
  24: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P9, arg5'=arg5P9, arg7'=arg7P9, (x900*arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  25: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P10, arg5'=arg5P10, arg7'=arg7P10, (-arg3*x950+arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  27: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P12, arg3'=arg1, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, -arg3+arg4 <= 0, cost: 1
  29: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P14, arg5'=arg5P14, arg7'=arg7P14, (-arg3*x1050+arg4 == 0 /\ -arg3+arg4 > 0), cost: 1
  36: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P13, arg3'=arg1, arg5'=arg5P13, arg2'=1+arg2, arg7'=arg7P13, arg4'=arg4P13, (-1+arg1-arg2 > 0 /\ arg4 <= 0 /\ -arg3+arg4 <= 0), cost: 2-arg4
  26: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 1
  30: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  16: __init -> f1_0_main_Load : arg1'=arg1P16, arg6'=arg6P16, arg3'=arg3P16, arg5'=arg5P16, arg2'=arg2P16, arg7'=arg7P16, arg4'=arg4P16, TRUE, cost: 1


Eliminating location f1_0_main_Load by chaining:

Applied chaining
First rule:
__init -> f1_0_main_Load : arg1'=arg1P16, arg6'=arg6P16, arg3'=arg3P16, arg5'=arg5P16, arg2'=arg2P16, arg7'=arg7P16, arg4'=arg4P16, TRUE, cost: 1
Second rule:
f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (-arg1+arg1P0 <= 0 /\ -1+arg2 > 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ 1+arg4P0 > 0), cost: 1
New rule:
__init -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2P16, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (arg1P0-arg1P16 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ -1+arg2P16 > 0 /\ 1+arg4P0 > 0), cost: 2

Applied chaining
First rule:
__init -> f1_0_main_Load : arg1'=arg1P16, arg6'=arg6P16, arg3'=arg3P16, arg5'=arg5P16, arg2'=arg2P16, arg7'=arg7P16, arg4'=arg4P16, TRUE, cost: 1
Second rule:
f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4P0, arg5'=arg2, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P0, (arg7P1 > 0 /\ arg4P0 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ -1+arg2 > 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -arg1+arg1P1 <= 0), cost: 1+arg4P0
New rule:
__init -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4P0, arg5'=arg2P16, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P0, (arg7P1 > 0 /\ arg4P0 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -1+arg2P16 > 0 /\ -arg1P16+arg1P1 <= 0), cost: 2+arg4P0

Applied deletion
Removed the following rules: 16 17 35

Eliminating location f1209_0_checkPrime_GE\' by chaining:

Applied chaining
First rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P9, arg5'=arg5P9, arg7'=arg7P9, (x900*arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
Second rule:
f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (x900*arg3-arg4 > 0 /\ arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 2

Applied chaining
First rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P9, arg5'=arg5P9, arg7'=arg7P9, (x900*arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
Second rule:
f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (x900*arg3-arg4 > 0 /\ -arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2

Applied chaining
First rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P10, arg5'=arg5P10, arg7'=arg7P10, (-arg3*x950+arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
Second rule:
f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (-arg3*x950+arg4 > 0 /\ arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 2

Applied chaining
First rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P10, arg5'=arg5P10, arg7'=arg7P10, (-arg3*x950+arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
Second rule:
f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x950+arg4 > 0 /\ -arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2

Applied chaining
First rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P14, arg5'=arg5P14, arg7'=arg7P14, (-arg3*x1050+arg4 == 0 /\ -arg3+arg4 > 0), cost: 1
Second rule:
f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (-arg3*x1050+arg4 == 0 /\ arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 2

Applied chaining
First rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg6'=arg6P14, arg5'=arg5P14, arg7'=arg7P14, (-arg3*x1050+arg4 == 0 /\ -arg3+arg4 > 0), cost: 1
Second rule:
f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ -arg3*x1050+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2

Applied deletion
Removed the following rules: 24 25 26 29 30

Eliminated locations on tree-shaped paths
Start location: __init
  22: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=arg6, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  40: f731_0_main_GE -> [12] : (arg1 > 0 /\ -x850*arg3P3+arg7 == 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ x850*arg3P3^2+arg3P3-arg7 > 0 /\ -x850*arg3P3^2+arg7 >= 0), cost: NONTERM
  23: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
  27: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P12, arg3'=arg1, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, -arg3+arg4 <= 0, cost: 1
  36: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P13, arg3'=arg1, arg5'=arg5P13, arg2'=1+arg2, arg7'=arg7P13, arg4'=arg4P13, (-1+arg1-arg2 > 0 /\ arg4 <= 0 /\ -arg3+arg4 <= 0), cost: 2-arg4
  43: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (x900*arg3-arg4 > 0 /\ arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 2
  44: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (x900*arg3-arg4 > 0 /\ -arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
  45: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (-arg3*x950+arg4 > 0 /\ arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 2
  46: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x950+arg4 > 0 /\ -arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
  47: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (-arg3*x1050+arg4 == 0 /\ arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 2
  48: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ -arg3*x1050+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
  41: __init -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2P16, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (arg1P0-arg1P16 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ -1+arg2P16 > 0 /\ 1+arg4P0 > 0), cost: 2
  42: __init -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4P0, arg5'=arg2P16, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P0, (arg7P1 > 0 /\ arg4P0 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -1+arg2P16 > 0 /\ -arg1P16+arg1P1 <= 0), cost: 2+arg4P0


Accelerated simple loops
Start location: __init
  22: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=arg6, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  40: f731_0_main_GE -> [12] : (arg1 > 0 /\ -x850*arg3P3+arg7 == 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ x850*arg3P3^2+arg3P3-arg7 > 0 /\ -x850*arg3P3^2+arg7 >= 0), cost: NONTERM
  23: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
  27: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P12, arg3'=arg1, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, -arg3+arg4 <= 0, cost: 1
  36: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P13, arg3'=arg1, arg5'=arg5P13, arg2'=1+arg2, arg7'=arg7P13, arg4'=arg4P13, (-1+arg1-arg2 > 0 /\ arg4 <= 0 /\ -arg3+arg4 <= 0), cost: 2-arg4
  43: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (x900*arg3-arg4 > 0 /\ arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 2
  44: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (x900*arg3-arg4 > 0 /\ -arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
  45: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (-arg3*x950+arg4 > 0 /\ arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 2
  46: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x950+arg4 > 0 /\ -arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
  47: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (-arg3*x1050+arg4 == 0 /\ arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 2
  48: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ -arg3*x1050+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
  41: __init -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2P16, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (arg1P0-arg1P16 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ -1+arg2P16 > 0 /\ 1+arg4P0 > 0), cost: 2
  42: __init -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4P0, arg5'=arg2P16, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P0, (arg7P1 > 0 /\ arg4P0 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -1+arg2P16 > 0 /\ -arg1P16+arg1P1 <= 0), cost: 2+arg4P0


Applied chaining
First rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
Second rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (x900*arg3-arg4 > 0 /\ arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 2
New rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P11, arg3'=3, arg5'=arg5P11, arg7'=arg7P11, arg4'=1+arg1, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -arg1+2*x1000 == 0), cost: 3

Applied chaining
First rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
Second rule:
f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg6'=arg6P11, arg3'=1+arg3, arg5'=arg5P11, arg7'=arg7P11, (-arg3*x950+arg4 > 0 /\ arg4-arg3*x1000 > 0 /\ arg3-arg4+arg3*x1000 > 0 /\ -arg3+arg4 > 0), cost: 2
New rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P11, arg3'=3, arg5'=arg5P11, arg7'=arg7P11, arg4'=1+arg1, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-2*x950 > 0), cost: 3

Applied deletion
Removed the following rules: 43 45 47

Chained accelerated rules with incoming rules
Start location: __init
  22: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=arg6, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
  40: f731_0_main_GE -> [12] : (arg1 > 0 /\ -x850*arg3P3+arg7 == 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ x850*arg3P3^2+arg3P3-arg7 > 0 /\ -x850*arg3P3^2+arg7 >= 0), cost: NONTERM
  23: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
  49: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P11, arg3'=3, arg5'=arg5P11, arg7'=arg7P11, arg4'=1+arg1, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -arg1+2*x1000 == 0), cost: 3
  50: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P11, arg3'=3, arg5'=arg5P11, arg7'=arg7P11, arg4'=1+arg1, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-2*x950 > 0), cost: 3
  27: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P12, arg3'=arg1, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, -arg3+arg4 <= 0, cost: 1
  36: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P13, arg3'=arg1, arg5'=arg5P13, arg2'=1+arg2, arg7'=arg7P13, arg4'=arg4P13, (-1+arg1-arg2 > 0 /\ arg4 <= 0 /\ -arg3+arg4 <= 0), cost: 2-arg4
  44: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (x900*arg3-arg4 > 0 /\ -arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
  46: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x950+arg4 > 0 /\ -arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
  48: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ -arg3*x1050+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
  41: __init -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2P16, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (arg1P0-arg1P16 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ -1+arg2P16 > 0 /\ 1+arg4P0 > 0), cost: 2
  42: __init -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4P0, arg5'=arg2P16, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P0, (arg7P1 > 0 /\ arg4P0 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -1+arg2P16 > 0 /\ -arg1P16+arg1P1 <= 0), cost: 2+arg4P0


Eliminating location f731_0_main_GE by chaining:

Applied chaining
First rule:
__init -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2P16, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (arg1P0-arg1P16 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ -1+arg2P16 > 0 /\ 1+arg4P0 > 0), cost: 2
Second rule:
f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=arg6, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1 > 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0), cost: 1
New rule:
__init -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=1, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ 3-arg2P0 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ -1+arg2P16 > 0 /\ 1+arg4P0 > 0), cost: 3

Applied simplification
Original rule:
__init -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=1, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ 3-arg2P0 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ -1+arg2P16 > 0 /\ 1+arg4P0 > 0), cost: 3
New rule:
__init -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=1, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -1+arg2P16 > 0), cost: 3

Applied chaining
First rule:
__init -> f731_0_main_GE : arg1'=arg1P0, arg6'=1, arg3'=0, arg5'=arg2P16, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, (arg1P0-arg1P16 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -2+arg2P0 > 0 /\ -1+arg2P16 > 0 /\ 1+arg4P0 > 0), cost: 2
Second rule:
f731_0_main_GE -> [12] : (arg1 > 0 /\ -x850*arg3P3+arg7 == 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7 > 0 /\ -1+arg5 > 0 /\ 2+arg6-arg2 <= 0 /\ 2-arg2+arg7 <= 0 /\ arg4 > 0 /\ -arg3+arg4 > 0 /\ x850*arg3P3^2+arg3P3-arg7 > 0 /\ -x850*arg3P3^2+arg7 >= 0), cost: NONTERM
New rule:
__init -> [12] : (-x850*arg3P3+arg7P0 == 0 /\ arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ 3-arg2P0 <= 0 /\ arg1P0 > 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7P0 > 0 /\ -x850*arg3P3^2+arg7P0 >= 0 /\ x850*arg3P3^2+arg3P3-arg7P0 > 0 /\ -2+arg2P0 > 0 /\ -1+arg2P16 > 0 /\ 1+arg4P0 > 0), cost: NONTERM

Applied simplification
Original rule:
__init -> [12] : (-x850*arg3P3+arg7P0 == 0 /\ arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ 3-arg2P0 <= 0 /\ arg1P0 > 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7P0 > 0 /\ -x850*arg3P3^2+arg7P0 >= 0 /\ x850*arg3P3^2+arg3P3-arg7P0 > 0 /\ -2+arg2P0 > 0 /\ -1+arg2P16 > 0 /\ 1+arg4P0 > 0), cost: NONTERM
New rule:
__init -> [12] : (-x850*arg3P3+arg7P0 == 0 /\ arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7P0 > 0 /\ -x850*arg3P3^2+arg7P0 >= 0 /\ x850*arg3P3^2+arg3P3-arg7P0 > 0 /\ -1+arg2P16 > 0), cost: NONTERM

Applied partial deletion
Original rule:
__init -> f731_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg4P0, arg5'=arg2P16, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P0, (arg7P1 > 0 /\ arg4P0 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -1+arg2P16 > 0 /\ -arg1P16+arg1P1 <= 0), cost: 2+arg4P0
New rule:
__init -> [14] : (arg7P1 > 0 /\ arg4P0 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -1+arg2P16 > 0 /\ -arg1P16+arg1P1 <= 0), cost: 2+arg4P0

Applied deletion
Removed the following rules: 22 40 41 42

Eliminating location f1209_0_checkPrime_GE by chaining:

Applied chaining
First rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
Second rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P12, arg3'=arg1, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, -arg3+arg4 <= 0, cost: 1
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P12, arg3'=arg3, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, (arg1 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 <= 0), cost: 2

Applied chaining
First rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
Second rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (x900*arg3-arg4 > 0 /\ -arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1 > 0 /\ -1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ 1-arg1+2*x1100 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1100 == 0), cost: 3

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1 > 0 /\ -1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ 1-arg1+2*x1100 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1100 == 0), cost: 3
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1100 == 0), cost: 3

Applied chaining
First rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
Second rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x950+arg4 > 0 /\ -arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1 > 0 /\ arg3-arg2 > 0 /\ 1-arg1+2*x1100 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x950 > 0 /\ 1+arg1-2*x1100 == 0), cost: 3

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1 > 0 /\ arg3-arg2 > 0 /\ 1-arg1+2*x1100 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x950 > 0 /\ 1+arg1-2*x1100 == 0), cost: 3
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x950 > 0 /\ 1+arg1-2*x1100 == 0), cost: 3

Applied chaining
First rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P8, arg3'=2, arg5'=arg5P8, arg7'=arg7P8, arg4'=1+arg1, (arg1 > 0 /\ arg3-arg2 > 0), cost: 1
Second rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ -arg3*x1050+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1 > 0 /\ arg3-arg2 > 0 /\ 1-arg1+2*x1100 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1050 == 0 /\ 1+arg1-2*x1100 == 0), cost: 3

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1 > 0 /\ arg3-arg2 > 0 /\ 1-arg1+2*x1100 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1050 == 0 /\ 1+arg1-2*x1100 == 0), cost: 3
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1050 == 0 /\ 1+arg1-2*x1100 == 0), cost: 3

Applied chaining
First rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P11, arg3'=3, arg5'=arg5P11, arg7'=arg7P11, arg4'=1+arg1, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -arg1+2*x1000 == 0), cost: 3
Second rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P12, arg3'=arg1, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, -arg3+arg4 <= 0, cost: 1
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P12, arg3'=arg3, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -2+arg1 <= 0 /\ -arg1+2*x1000 == 0), cost: 4

Applied chaining
First rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P11, arg3'=3, arg5'=arg5P11, arg7'=arg7P11, arg4'=1+arg1, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -arg1+2*x1000 == 0), cost: 3
Second rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (x900*arg3-arg4 > 0 /\ -arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1-arg1+3*x900 > 0 /\ -1+arg1 > 0 /\ 2-arg1+3*x1100 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1-arg1+3*x900 > 0 /\ -1+arg1 > 0 /\ 2-arg1+3*x1100 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5

Applied chaining
First rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P11, arg3'=3, arg5'=arg5P11, arg7'=arg7P11, arg4'=1+arg1, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -arg1+2*x1000 == 0), cost: 3
Second rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x950+arg4 > 0 /\ -arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 2-arg1+3*x1100 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 2-arg1+3*x1100 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5

Applied chaining
First rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P11, arg3'=3, arg5'=arg5P11, arg7'=arg7P11, arg4'=1+arg1, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -arg1+2*x1000 == 0), cost: 3
Second rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ -arg3*x1050+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 2-arg1+3*x1100 > 0 /\ 1+arg1-3*x1050 == 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 2-arg1+3*x1100 > 0 /\ 1+arg1-3*x1050 == 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ 1+arg1-3*x1050 == 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5

Applied chaining
First rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P11, arg3'=3, arg5'=arg5P11, arg7'=arg7P11, arg4'=1+arg1, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-2*x950 > 0), cost: 3
Second rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P12, arg3'=arg1, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, -arg3+arg4 <= 0, cost: 1
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P12, arg3'=arg3, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -2+arg1 <= 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-2*x950 > 0), cost: 4

Applied chaining
First rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P11, arg3'=3, arg5'=arg5P11, arg7'=arg7P11, arg4'=1+arg1, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-2*x950 > 0), cost: 3
Second rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (x900*arg3-arg4 > 0 /\ -arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1-arg1+3*x900 > 0 /\ -1+arg1 > 0 /\ 2-arg1+3*x1100 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0 /\ 1+arg1-2*x950 > 0), cost: 5

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1-arg1+3*x900 > 0 /\ -1+arg1 > 0 /\ 2-arg1+3*x1100 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0 /\ 1+arg1-2*x950 > 0), cost: 5
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1-arg1+3*x900 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0 /\ 1+arg1-2*x950 > 0), cost: 5

Applied chaining
First rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P11, arg3'=3, arg5'=arg5P11, arg7'=arg7P11, arg4'=1+arg1, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-2*x950 > 0), cost: 3
Second rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x950+arg4 > 0 /\ -arg3*x1100+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 2-arg1+3*x1100 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0 /\ 1+arg1-2*x950 > 0), cost: 5

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 2-arg1+3*x1100 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0 /\ 1+arg1-2*x950 > 0), cost: 5
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5

Applied chaining
First rule:
f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg6'=arg6P11, arg3'=3, arg5'=arg5P11, arg7'=arg7P11, arg4'=1+arg1, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-2*x950 > 0), cost: 3
Second rule:
f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg6'=arg6P15, arg3'=arg1, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg3*x1100+arg4 == 0 /\ -arg3*x1050+arg4 == 0 /\ arg3*x1100+arg3-arg4 > 0 /\ -arg3+arg4 > 0), cost: 2
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 2-arg1+3*x1100 > 0 /\ 1+arg1-3*x1050 == 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0 /\ 1+arg1-2*x950 > 0), cost: 5

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 2-arg1+3*x1100 > 0 /\ 1+arg1-3*x1050 == 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0 /\ 1+arg1-2*x950 > 0), cost: 5
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ 1+arg1-3*x1050 == 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0 /\ 1+arg1-2*x950 > 0), cost: 5

Applied deletion
Removed the following rules: 23 27 36 44 46 48 49 50

Eliminated locations on tree-shaped paths
Start location: __init
  54: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P12, arg3'=arg3, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, (arg1 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 <= 0), cost: 2
  55: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1100 == 0), cost: 3
  56: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x950 > 0 /\ 1+arg1-2*x1100 == 0), cost: 3
  57: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1050 == 0 /\ 1+arg1-2*x1100 == 0), cost: 3
  58: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P12, arg3'=arg3, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -2+arg1 <= 0 /\ -arg1+2*x1000 == 0), cost: 4
  59: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5
  60: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5
  61: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ 1+arg1-3*x1050 == 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5
  62: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P12, arg3'=arg3, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -2+arg1 <= 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-2*x950 > 0), cost: 4
  63: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1-arg1+3*x900 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0 /\ 1+arg1-2*x950 > 0), cost: 5
  64: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5
  65: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ 1+arg1-3*x1050 == 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0 /\ 1+arg1-2*x950 > 0), cost: 5
  51: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=1, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -1+arg2P16 > 0), cost: 3
  52: __init -> [12] : (-x850*arg3P3+arg7P0 == 0 /\ arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7P0 > 0 /\ -x850*arg3P3^2+arg7P0 >= 0 /\ x850*arg3P3^2+arg3P3-arg7P0 > 0 /\ -1+arg2P16 > 0), cost: NONTERM
  53: __init -> [14] : (arg7P1 > 0 /\ arg4P0 > 0 /\ -2-arg7P1+arg2P1 >= 0 /\ arg1P1 > 0 /\ -2+arg2P1-arg6P1 >= 0 /\ -arg1P1+arg2P1 >= 0 /\ -1+arg2P16 > 0 /\ -arg1P16+arg1P1 <= 0), cost: 2+arg4P0


Applied pruning (of leafs and parallel rules):
Start location: __init
  54: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P12, arg3'=arg3, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, (arg1 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 <= 0), cost: 2
  55: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1100 == 0), cost: 3
  57: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1050 == 0 /\ 1+arg1-2*x1100 == 0), cost: 3
  59: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5
  60: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5
  51: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=1, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -1+arg2P16 > 0), cost: 3
  52: __init -> [12] : (-x850*arg3P3+arg7P0 == 0 /\ arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7P0 > 0 /\ -x850*arg3P3^2+arg7P0 >= 0 /\ x850*arg3P3^2+arg3P3-arg7P0 > 0 /\ -1+arg2P16 > 0), cost: NONTERM


Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P12, arg3'=arg3, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, (arg1 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 <= 0), cost: 2
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P12, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, (arg3-arg2 > 0 /\ -1+arg1 == 0), cost: 2

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1100 == 0), cost: 3
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1100 == 0), cost: 3

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1050 == 0 /\ 1+arg1-2*x1100 == 0), cost: 3
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1050 == 0 /\ 1+arg1-2*x1100 == 0), cost: 3

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg3'=arg3, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5

Simplified simple loops
Start location: __init
  66: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P12, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, (arg3-arg2 > 0 /\ -1+arg1 == 0), cost: 2
  67: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1100 == 0), cost: 3
  68: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1050 == 0 /\ 1+arg1-2*x1100 == 0), cost: 3
  69: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5
  70: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5
  51: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=1, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -1+arg2P16 > 0), cost: 3
  52: __init -> [12] : (-x850*arg3P3+arg7P0 == 0 /\ arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7P0 > 0 /\ -x850*arg3P3^2+arg7P0 >= 0 /\ x850*arg3P3^2+arg3P3-arg7P0 > 0 /\ -1+arg2P16 > 0), cost: NONTERM


Applied acceleration
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P12, arg5'=arg5P12, arg2'=1+arg2, arg7'=arg7P12, arg4'=arg4P12, (arg3-arg2 > 0 /\ -1+arg1 == 0), cost: 2
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n33, arg6'=arg6P12, arg5'=arg5P12, arg2'=n33+arg2, arg7'=arg7P12, arg4'=arg4P12, (2-arg1-n33 >= 0 /\ 1-arg1 >= 0 /\ -1+arg1 >= 0 /\ -1+n33 >= 0 /\ 1+arg3-n33-arg2 > 0), cost: 2*n33

Applied instantiation
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n33, arg6'=arg6P12, arg5'=arg5P12, arg2'=n33+arg2, arg7'=arg7P12, arg4'=arg4P12, (2-arg1-n33 >= 0 /\ 1-arg1 >= 0 /\ -1+arg1 >= 0 /\ -1+n33 >= 0 /\ 1+arg3-n33-arg2 > 0), cost: 2*n33
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+arg3-arg2, arg6'=arg6P12, arg5'=arg5P12, arg2'=arg3, arg7'=arg7P12, arg4'=arg4P12, (1 > 0 /\ 1-arg1 >= 0 /\ -1+arg1 >= 0 /\ 2-arg1-arg3+arg2 >= 0 /\ -1+arg3-arg2 >= 0), cost: 2*arg3-2*arg2

Applied instantiation
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n33, arg6'=arg6P12, arg5'=arg5P12, arg2'=n33+arg2, arg7'=arg7P12, arg4'=arg4P12, (2-arg1-n33 >= 0 /\ 1-arg1 >= 0 /\ -1+arg1 >= 0 /\ -1+n33 >= 0 /\ 1+arg3-n33-arg2 > 0), cost: 2*n33
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2, arg6'=arg6P12, arg5'=arg5P12, arg2'=2-arg1+arg2, arg7'=arg7P12, arg4'=arg4P12, (0 >= 0 /\ 1-arg1 >= 0 /\ -1+arg1 >= 0 /\ -1+arg1+arg3-arg2 > 0), cost: 4-2*arg1

Applied acceleration
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1100 == 0), cost: 3
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n36, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1+n36 >= 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -arg1-n36+2*x1100 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0 /\ (-arg1+2*x900-n36 > 0 \/ (-1-arg1+2*x900 > 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0))), cost: 3*n36

Applied instantiation
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n36, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1+n36 >= 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -arg1-n36+2*x1100 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0 /\ (-arg1+2*x900-n36 > 0 \/ (-1-arg1+2*x900 > 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0))), cost: 3*n36
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=-1+2*x900, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1-2*x900+2*x1100 >= 0 /\ -2-arg1+2*x900 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0 /\ ((-1-arg1+2*x900 > 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0) \/ 1 > 0)), cost: -3-3*arg1+6*x900

Applied instantiation
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n36, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1+n36 >= 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -arg1-n36+2*x1100 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0 /\ (-arg1+2*x900-n36 > 0 \/ (-1-arg1+2*x900 > 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0))), cost: 3*n36
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (0 >= 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0 /\ ((-1-arg1+2*x900 > 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0) \/ 2*x900-2*x1100 > 0)), cost: -3*arg1+6*x1100

Applied acceleration
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1050 == 0 /\ 1+arg1-2*x1100 == 0), cost: 3
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n39, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg1-n39+2*x1100 >= 0 /\ arg3-arg2 > 0 /\ -arg1+2*x1050-n39 >= 0 /\ -1+arg1 > 0 /\ -1+n39 >= 0 /\ 1+arg1-2*x1050 >= 0 /\ -1-arg1+2*x1050 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0), cost: 3*n39

Applied instantiation
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n39, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg1-n39+2*x1100 >= 0 /\ arg3-arg2 > 0 /\ -arg1+2*x1050-n39 >= 0 /\ -1+arg1 > 0 /\ -1+n39 >= 0 /\ 1+arg1-2*x1050 >= 0 /\ -1-arg1+2*x1050 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0), cost: 3*n39
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (0 >= 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 2*x1050-2*x1100 >= 0 /\ 1+arg1-2*x1050 >= 0 /\ -1-arg1+2*x1050 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0), cost: -3*arg1+6*x1100

Applied instantiation
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n39, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-arg1-n39+2*x1100 >= 0 /\ arg3-arg2 > 0 /\ -arg1+2*x1050-n39 >= 0 /\ -1+arg1 > 0 /\ -1+n39 >= 0 /\ 1+arg1-2*x1050 >= 0 /\ -1-arg1+2*x1050 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0), cost: 3*n39
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2*x1050, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (0 >= 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -2*x1050+2*x1100 >= 0 /\ 1+arg1-2*x1050 >= 0 /\ -1-arg1+2*x1050 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0), cost: -3*arg1+6*x1050

Applied acceleration
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n42, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ arg3-arg2 > 0 /\ -arg1-n42+3*x1100 >= 0 /\ -2+arg1 > 0 /\ -arg1+2*x900-n42 > 0 /\ 1-arg1+2*x1000-n42 >= 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0 /\ -1+n42 >= 0), cost: 5*n42

Applied instantiation
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n42, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ arg3-arg2 > 0 /\ -arg1-n42+3*x1100 >= 0 /\ -2+arg1 > 0 /\ -arg1+2*x900-n42 > 0 /\ 1-arg1+2*x1000-n42 >= 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0 /\ -1+n42 >= 0), cost: 5*n42
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=3*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (0 >= 0 /\ arg1-2*x1000 >= 0 /\ 1+2*x1000-3*x1100 >= 0 /\ 2*x900-3*x1100 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: -5*arg1+15*x1100

Applied instantiation
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n42, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ arg3-arg2 > 0 /\ -arg1-n42+3*x1100 >= 0 /\ -2+arg1 > 0 /\ -arg1+2*x900-n42 > 0 /\ 1-arg1+2*x1000-n42 >= 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0 /\ -1+n42 >= 0), cost: 5*n42
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=-1+2*x900, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ 1 > 0 /\ arg3-arg2 > 0 /\ 2-2*x900+2*x1000 >= 0 /\ -2+arg1 > 0 /\ 1-2*x900+3*x1100 >= 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0 /\ -2-arg1+2*x900 >= 0), cost: -5-5*arg1+10*x900

Applied instantiation
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n42, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ arg3-arg2 > 0 /\ -arg1-n42+3*x1100 >= 0 /\ -2+arg1 > 0 /\ -arg1+2*x900-n42 > 0 /\ 1-arg1+2*x1000-n42 >= 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0 /\ -1+n42 >= 0), cost: 5*n42
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+2*x1000, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (0 >= 0 /\ -1+2*x900-2*x1000 > 0 /\ arg1-2*x1000 >= 0 /\ -1-2*x1000+3*x1100 >= 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: 5-5*arg1+10*x1000

Applied acceleration
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1-arg1+2*x900 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 == 0 /\ 1+arg1-3*x1100 == 0), cost: 5
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n46, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ arg3-arg2 > 0 /\ -1+n46 >= 0 /\ -arg1+2*x900-n46 > 0 /\ 1-arg1+2*x1000-n46 >= 0 /\ -2+arg1 > 0 /\ -arg1-n46+3*x1100 >= 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: 5*n46

Applied instantiation
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n46, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ arg3-arg2 > 0 /\ -1+n46 >= 0 /\ -arg1+2*x900-n46 > 0 /\ 1-arg1+2*x1000-n46 >= 0 /\ -2+arg1 > 0 /\ -arg1-n46+3*x1100 >= 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: 5*n46
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=3*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (0 >= 0 /\ arg1-2*x1000 >= 0 /\ 1+2*x1000-3*x1100 >= 0 /\ 2*x900-3*x1100 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: -5*arg1+15*x1100

Applied instantiation
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n46, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ arg3-arg2 > 0 /\ -1+n46 >= 0 /\ -arg1+2*x900-n46 > 0 /\ 1-arg1+2*x1000-n46 >= 0 /\ -2+arg1 > 0 /\ -arg1-n46+3*x1100 >= 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: 5*n46
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=-1+2*x900, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ 1 > 0 /\ arg3-arg2 > 0 /\ 2-2*x900+2*x1000 >= 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ 1-2*x900+3*x1100 >= 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0 /\ -2-arg1+2*x900 >= 0), cost: -5-5*arg1+10*x900

Applied instantiation
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+n46, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ arg3-arg2 > 0 /\ -1+n46 >= 0 /\ -arg1+2*x900-n46 > 0 /\ 1-arg1+2*x1000-n46 >= 0 /\ -2+arg1 > 0 /\ -arg1-n46+3*x1100 >= 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: 5*n46
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+2*x1000, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (0 >= 0 /\ -1+2*x900-2*x1000 > 0 /\ arg1-2*x1000 >= 0 /\ -1-2*x1000+3*x1100 >= 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: 5-5*arg1+10*x1000

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+arg3-arg2, arg6'=arg6P12, arg5'=arg5P12, arg2'=arg3, arg7'=arg7P12, arg4'=arg4P12, (1 > 0 /\ 1-arg1 >= 0 /\ -1+arg1 >= 0 /\ 2-arg1-arg3+arg2 >= 0 /\ -1+arg3-arg2 >= 0), cost: 2*arg3-2*arg2
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+arg3-arg2, arg6'=arg6P12, arg5'=arg5P12, arg2'=arg3, arg7'=arg7P12, arg4'=arg4P12, (-1+arg1 >= 0 /\ 2-arg1-arg3+arg2 >= 0 /\ -1+arg3-arg2 >= 0), cost: 2*arg3-2*arg2

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2, arg6'=arg6P12, arg5'=arg5P12, arg2'=2-arg1+arg2, arg7'=arg7P12, arg4'=arg4P12, (0 >= 0 /\ 1-arg1 >= 0 /\ -1+arg1 >= 0 /\ -1+arg1+arg3-arg2 > 0), cost: 4-2*arg1
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2, arg6'=arg6P12, arg5'=arg5P12, arg2'=2-arg1+arg2, arg7'=arg7P12, arg4'=arg4P12, (-1+arg1 <= 0 /\ -1+arg1 >= 0 /\ -1+arg1+arg3-arg2 > 0), cost: 4-2*arg1

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=-1+2*x900, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1-2*x900+2*x1100 >= 0 /\ -2-arg1+2*x900 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0 /\ ((-1-arg1+2*x900 > 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0) \/ 1 > 0)), cost: -3-3*arg1+6*x900
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=-1+2*x900, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1-2*x900+2*x1100 >= 0 /\ -2-arg1+2*x900 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0 /\ (1 > 0 \/ (-1-arg1+2*x900 > 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0))), cost: -3-3*arg1+6*x900

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (0 >= 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0 /\ ((-1-arg1+2*x900 > 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0) \/ 2*x900-2*x1100 > 0)), cost: -3*arg1+6*x1100
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ 2*x900-2*x1100 > 0 /\ -1+arg1 > 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0), cost: -3*arg1+6*x1100

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (0 >= 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 2*x1050-2*x1100 >= 0 /\ 1+arg1-2*x1050 >= 0 /\ -1-arg1+2*x1050 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0), cost: -3*arg1+6*x1100
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1050 >= 0 /\ -1-arg1+2*x1050 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0), cost: -3*arg1+6*x1100

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2*x1050, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (0 >= 0 /\ arg3-arg2 > 0 /\ -1+arg1 > 0 /\ -2*x1050+2*x1100 >= 0 /\ 1+arg1-2*x1050 >= 0 /\ -1-arg1+2*x1050 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0), cost: -3*arg1+6*x1050
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2*x1050, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1050 >= 0 /\ -1-arg1+2*x1050 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0), cost: -3*arg1+6*x1050

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=3*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (0 >= 0 /\ arg1-2*x1000 >= 0 /\ 1+2*x1000-3*x1100 >= 0 /\ 2*x900-3*x1100 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: -5*arg1+15*x1100
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=3*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ 2*x900-3*x1100 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: -5*arg1+15*x1100

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=-1+2*x900, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ 1 > 0 /\ arg3-arg2 > 0 /\ 2-2*x900+2*x1000 >= 0 /\ -2+arg1 > 0 /\ 1-2*x900+3*x1100 >= 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0 /\ -2-arg1+2*x900 >= 0), cost: -5-5*arg1+10*x900
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=-1+2*x900, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1-2*x900+3*x1100 >= 0 /\ -arg1+2*x1000 >= 0 /\ 1+arg1-3*x1100 >= 0 /\ -2-arg1+2*x900 >= 0), cost: -5-5*arg1+10*x900

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+2*x1000, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (0 >= 0 /\ -1+2*x900-2*x1000 > 0 /\ arg1-2*x1000 >= 0 /\ -1-2*x1000+3*x1100 >= 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: 5-5*arg1+10*x1000
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+2*x1000, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1+2*x900-2*x1000 > 0 /\ -1-2*x1000+3*x1100 >= 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: 5-5*arg1+10*x1000

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=3*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (0 >= 0 /\ arg1-2*x1000 >= 0 /\ 1+2*x1000-3*x1100 >= 0 /\ 2*x900-3*x1100 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: -5*arg1+15*x1100
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=3*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ 2*x900-3*x1100 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: -5*arg1+15*x1100

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=-1+2*x900, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ 1 > 0 /\ arg3-arg2 > 0 /\ 2-2*x900+2*x1000 >= 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ 1-2*x900+3*x1100 >= 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0 /\ -2-arg1+2*x900 >= 0), cost: -5-5*arg1+10*x900
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=-1+2*x900, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ 1-2*x900+3*x1100 >= 0 /\ -arg1+2*x1000 >= 0 /\ 1+arg1-3*x1100 >= 0 /\ -2-arg1+2*x900 >= 0), cost: -5-5*arg1+10*x900

Applied simplification
Original rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+2*x1000, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (0 >= 0 /\ -1+2*x900-2*x1000 > 0 /\ arg1-2*x1000 >= 0 /\ -1-2*x1000+3*x1100 >= 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: 5-5*arg1+10*x1000
New rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+2*x1000, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1+2*x900-2*x1000 > 0 /\ -1-2*x1000+3*x1100 >= 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: 5-5*arg1+10*x1000

Applied deletion
Removed the following rules: 66 67 68 69 70

Accelerated simple loops
Start location: __init
  83: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+arg3-arg2, arg6'=arg6P12, arg5'=arg5P12, arg2'=arg3, arg7'=arg7P12, arg4'=arg4P12, (-1+arg1 >= 0 /\ 2-arg1-arg3+arg2 >= 0 /\ -1+arg3-arg2 >= 0), cost: 2*arg3-2*arg2
  84: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2, arg6'=arg6P12, arg5'=arg5P12, arg2'=2-arg1+arg2, arg7'=arg7P12, arg4'=arg4P12, (-1+arg1 <= 0 /\ -1+arg1 >= 0 /\ -1+arg1+arg3-arg2 > 0), cost: 4-2*arg1
  85: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=-1+2*x900, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1-2*x900+2*x1100 >= 0 /\ -2-arg1+2*x900 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0 /\ (1 > 0 \/ (-1-arg1+2*x900 > 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0))), cost: -3-3*arg1+6*x900
  86: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ 2*x900-2*x1100 > 0 /\ -1+arg1 > 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0), cost: -3*arg1+6*x1100
  87: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1050 >= 0 /\ -1-arg1+2*x1050 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0), cost: -3*arg1+6*x1100
  88: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2*x1050, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg3-arg2 > 0 /\ -1+arg1 > 0 /\ 1+arg1-2*x1050 >= 0 /\ -1-arg1+2*x1050 >= 0 /\ -1-arg1+2*x1100 >= 0 /\ 1+arg1-2*x1100 >= 0), cost: -3*arg1+6*x1050
  89: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=3*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ 2*x900-3*x1100 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: -5*arg1+15*x1100
  90: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=-1+2*x900, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1-2*x900+3*x1100 >= 0 /\ -arg1+2*x1000 >= 0 /\ 1+arg1-3*x1100 >= 0 /\ -2-arg1+2*x900 >= 0), cost: -5-5*arg1+10*x900
  91: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+2*x1000, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1+2*x900-2*x1000 > 0 /\ -1-2*x1000+3*x1100 >= 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ -arg1+2*x1000 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: 5-5*arg1+10*x1000
  92: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=3*x1100, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ 2*x900-3*x1100 > 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 >= 0 /\ -1-arg1+3*x1100 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: -5*arg1+15*x1100
  93: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=-1+2*x900, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (arg1-2*x1000 >= 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ 1-2*x900+3*x1100 >= 0 /\ -arg1+2*x1000 >= 0 /\ 1+arg1-3*x1100 >= 0 /\ -2-arg1+2*x900 >= 0), cost: -5-5*arg1+10*x900
  94: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+2*x1000, arg6'=arg6P15, arg5'=arg5P15, arg7'=arg7P15, arg4'=arg4P15, (-1+2*x900-2*x1000 > 0 /\ -1-2*x1000+3*x1100 >= 0 /\ arg3-arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg1-3*x950 > 0 /\ -arg1+2*x1000 >= 0 /\ 1+arg1-3*x1100 >= 0), cost: 5-5*arg1+10*x1000
  51: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=1, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -1+arg2P16 > 0), cost: 3
  52: __init -> [12] : (-x850*arg3P3+arg7P0 == 0 /\ arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7P0 > 0 /\ -x850*arg3P3^2+arg7P0 >= 0 /\ x850*arg3P3^2+arg3P3-arg7P0 > 0 /\ -1+arg2P16 > 0), cost: NONTERM


Applied chaining
First rule:
__init -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=1, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -1+arg2P16 > 0), cost: 3
Second rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1+arg3-arg2, arg6'=arg6P12, arg5'=arg5P12, arg2'=arg3, arg7'=arg7P12, arg4'=arg4P12, (-1+arg1 >= 0 /\ 2-arg1-arg3+arg2 >= 0 /\ -1+arg3-arg2 >= 0), cost: 2*arg3-2*arg2
New rule:
__init -> f1029_0_findKthPrime_GE : arg1'=2, arg6'=arg6P12, arg3'=1, arg5'=arg5P12, arg2'=1, arg7'=arg7P12, arg4'=arg4P12, 0 >= 0, cost: 5

Applied chaining
First rule:
__init -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=1, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -1+arg2P16 > 0), cost: 3
Second rule:
f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=2, arg6'=arg6P12, arg5'=arg5P12, arg2'=2-arg1+arg2, arg7'=arg7P12, arg4'=arg4P12, (-1+arg1 <= 0 /\ -1+arg1 >= 0 /\ -1+arg1+arg3-arg2 > 0), cost: 4-2*arg1
New rule:
__init -> f1029_0_findKthPrime_GE : arg1'=2, arg6'=arg6P12, arg3'=1, arg5'=arg5P12, arg2'=1, arg7'=arg7P12, arg4'=arg4P12, (0 == 0 /\ 1 > 0), cost: 5

Applied deletion
Removed the following rules: 83 84 85 86 87 88 89 90 91 92 93 94

Chained accelerated rules with incoming rules
Start location: __init
  51: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg6'=arg6P7, arg3'=1, arg5'=arg5P7, arg2'=0, arg7'=arg7P7, arg4'=arg4P7, (arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ arg7P0 > 0 /\ -1+arg2P16 > 0), cost: 3
  52: __init -> [12] : (-x850*arg3P3+arg7P0 == 0 /\ arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7P0 > 0 /\ -x850*arg3P3^2+arg7P0 >= 0 /\ x850*arg3P3^2+arg3P3-arg7P0 > 0 /\ -1+arg2P16 > 0), cost: NONTERM
  95: __init -> f1029_0_findKthPrime_GE : arg1'=2, arg6'=arg6P12, arg3'=1, arg5'=arg5P12, arg2'=1, arg7'=arg7P12, arg4'=arg4P12, 0 >= 0, cost: 5
  96: __init -> f1029_0_findKthPrime_GE : arg1'=2, arg6'=arg6P12, arg3'=1, arg5'=arg5P12, arg2'=1, arg7'=arg7P12, arg4'=arg4P12, (0 == 0 /\ 1 > 0), cost: 5


Removed unreachable locations and irrelevant leafs
Start location: __init
  52: __init -> [12] : (-x850*arg3P3+arg7P0 == 0 /\ arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7P0 > 0 /\ -x850*arg3P3^2+arg7P0 >= 0 /\ x850*arg3P3^2+arg3P3-arg7P0 > 0 /\ -1+arg2P16 > 0), cost: NONTERM


Computing asymptotic complexity
Proved nontermination of rule 52 via SMT.

Proved the following lower bound
Complexity:  Nonterm
Cpx degree: Nonterm

Solved cost: NONTERM
Rule cost:   NONTERM
Rule guard:  (-x850*arg3P3+arg7P0 == 0 /\ arg1P0-arg1P16 <= 0 /\ arg4P0 > 0 /\ 2+arg7P0-arg2P0 <= 0 /\ arg1P0 > 0 /\ -x760*arg3P3+x850*arg3P3 == 0 /\ arg7P0 > 0 /\ -x850*arg3P3^2+arg7P0 >= 0 /\ x850*arg3P3^2+arg3P3-arg7P0 > 0 /\ -1+arg2P16 > 0)