NO ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 && 0==arg3P_1 && arg2==arg5P_1 && 1==arg6P_1 ], cost: 1 1: f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg5>1 && arg4>arg3 && arg7>0 && arg4>0 && arg1>=arg1P_2 && arg2>=arg1P_2 && arg1>0 && arg2>0 && arg1P_2>0 && arg2P_2>0 && arg2>=2+arg7 && arg2>=2+arg6 && 1+arg3==arg3P_2 && arg4==arg4P_2 && arg5==arg5P_2 ], cost: 1 3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && arg7==arg2P_4 && 1+arg6==arg4P_4 && arg7==arg5P_4 ], cost: 1 7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && 1==arg1P_8 && 0==arg2P_8 && arg6==arg3P_8 ], cost: 1 2: f958_0_getNext_Return -> f731_0_main_GE : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, arg7'=arg7P_3, [ arg1P_3<=arg1 && arg1P_3<=arg2 && arg2P_3<=arg2 && arg1>0 && arg2>0 && arg1P_3>0 && arg2P_3>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && 1+arg4==arg3P_3 && arg3==arg4P_3 && arg5==arg5P_3 && arg6==arg6P_3 && arg7==arg7P_3 ], cost: 1 5: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, arg7'=arg7P_6, [ arg2-x76_1*arg3==0 && x77_1<=arg1 && arg1>0 && x77_1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 && arg1==arg1P_6 && arg2==arg2P_6 && arg3==arg3P_6 && arg4==arg4P_6 && arg5==arg5P_6 ], cost: 1 4: f873_0_findKthPrime_Return -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, arg7'=arg7P_5, [ -1+arg1P_5<=arg1 && arg1>0 && arg1P_5>0 && 2+arg4<=arg1 && 2+arg3<=arg1 && arg4==arg2P_5 && arg2==arg3P_5 && 1+arg3==arg4P_5 && arg4==arg5P_5 ], cost: 1 6: f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ arg2-x85_1*arg3==0 && arg1P_7<=arg1 && arg1>0 && arg1P_7>0 && 2+arg4<=arg1 && 2+arg5<=arg1 && arg2-arg3*arg2P_7>=0 && arg3>arg2-arg3*arg2P_7 && arg3>arg2-x85_1*arg3 && arg2-x85_1*arg3>=0 && arg3==arg3P_7 && arg4==arg4P_7 && arg5==arg5P_7 ], cost: 1 8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 && arg3==arg1P_9 && arg2==arg2P_9 && 2==arg3P_9 && 1+arg1==arg4P_9 ], cost: 1 13: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg3>arg2 && arg1<1 && 1+arg1==arg1P_14 && arg2==arg2P_14 && arg3==arg3P_14 ], cost: 1 9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && -x90_1*arg3+arg4<0 && arg1==arg1P_10 && arg2==arg2P_10 && arg3==arg3P_10 && arg4==arg4P_10 ], cost: 1 10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && -arg3*x95_1+arg4>0 && arg1==arg1P_11 && arg2==arg2P_11 && arg3==arg3P_11 && arg4==arg4P_11 ], cost: 1 12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 && arg4==arg1P_13 && 1+arg2==arg2P_13 && arg1==arg3P_13 ], cost: 1 14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && -arg3*x105_1+arg4==0 && arg1==arg1P_15 && arg2==arg2P_15 && arg3==arg3P_15 && arg4==arg4P_15 ], cost: 1 11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4arg3 && arg1==arg1P_12 && arg2==arg2P_12 && 1+arg3==arg3P_12 && arg4==arg4P_12 ], cost: 1 15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ -arg3*x110_1+arg4==0 && arg4>arg3 && -arg3*x110_1+arg4=0 && arg4==arg1P_16 && arg2==arg2P_16 && arg1==arg3P_16 ], cost: 1 16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1 Removed unreachable and leaf rules: Start location: __init 0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 && 0==arg3P_1 && arg2==arg5P_1 && 1==arg6P_1 ], cost: 1 1: f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg5>1 && arg4>arg3 && arg7>0 && arg4>0 && arg1>=arg1P_2 && arg2>=arg1P_2 && arg1>0 && arg2>0 && arg1P_2>0 && arg2P_2>0 && arg2>=2+arg7 && arg2>=2+arg6 && 1+arg3==arg3P_2 && arg4==arg4P_2 && arg5==arg5P_2 ], cost: 1 3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && arg7==arg2P_4 && 1+arg6==arg4P_4 && arg7==arg5P_4 ], cost: 1 7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && 1==arg1P_8 && 0==arg2P_8 && arg6==arg3P_8 ], cost: 1 5: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, arg7'=arg7P_6, [ arg2-x76_1*arg3==0 && x77_1<=arg1 && arg1>0 && x77_1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 && arg1==arg1P_6 && arg2==arg2P_6 && arg3==arg3P_6 && arg4==arg4P_6 && arg5==arg5P_6 ], cost: 1 6: f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ arg2-x85_1*arg3==0 && arg1P_7<=arg1 && arg1>0 && arg1P_7>0 && 2+arg4<=arg1 && 2+arg5<=arg1 && arg2-arg3*arg2P_7>=0 && arg3>arg2-arg3*arg2P_7 && arg3>arg2-x85_1*arg3 && arg2-x85_1*arg3>=0 && arg3==arg3P_7 && arg4==arg4P_7 && arg5==arg5P_7 ], cost: 1 8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 && arg3==arg1P_9 && arg2==arg2P_9 && 2==arg3P_9 && 1+arg1==arg4P_9 ], cost: 1 13: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg3>arg2 && arg1<1 && 1+arg1==arg1P_14 && arg2==arg2P_14 && arg3==arg3P_14 ], cost: 1 9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && -x90_1*arg3+arg4<0 && arg1==arg1P_10 && arg2==arg2P_10 && arg3==arg3P_10 && arg4==arg4P_10 ], cost: 1 10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && -arg3*x95_1+arg4>0 && arg1==arg1P_11 && arg2==arg2P_11 && arg3==arg3P_11 && arg4==arg4P_11 ], cost: 1 12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 && arg4==arg1P_13 && 1+arg2==arg2P_13 && arg1==arg3P_13 ], cost: 1 14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && -arg3*x105_1+arg4==0 && arg1==arg1P_15 && arg2==arg2P_15 && arg3==arg3P_15 && arg4==arg4P_15 ], cost: 1 11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4arg3 && arg1==arg1P_12 && arg2==arg2P_12 && 1+arg3==arg3P_12 && arg4==arg4P_12 ], cost: 1 15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ -arg3*x110_1+arg4==0 && arg4>arg3 && -arg3*x110_1+arg4=0 && arg4==arg1P_16 && arg2==arg2P_16 && arg1==arg3P_16 ], cost: 1 16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 ], cost: 1 1: f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1+arg3, arg6'=arg6P_2, arg7'=arg7P_2, [ arg5>1 && arg4>arg3 && arg7>0 && arg4>0 && arg1>=arg1P_2 && arg2>=arg1P_2 && arg1>0 && arg2>0 && arg1P_2>0 && arg2P_2>0 && arg2>=2+arg7 && arg2>=2+arg6 ], cost: 1 3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg7, arg3'=arg3P_4, arg4'=1+arg6, arg5'=arg7, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 5: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg6'=arg6P_6, arg7'=arg7P_6, [ arg2-x76_1*arg3==0 && arg1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 ], cost: 1 6: f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ arg2-x85_1*arg3==0 && arg1P_7<=arg1 && arg1>0 && arg1P_7>0 && 2+arg4<=arg1 && 2+arg5<=arg1 && arg2-arg3*arg2P_7>=0 && arg3>arg2-arg3*arg2P_7 ], cost: 1 8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1 13: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg3>arg2 && arg1<1 ], cost: 1 9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && -x90_1*arg3+arg4<0 ], cost: 1 10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && -arg3*x95_1+arg4>0 ], cost: 1 12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1 14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && -arg3*x105_1+arg4==0 ], cost: 1 11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4arg3 ], cost: 1 15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ -arg3*x110_1+arg4==0 && arg4>arg3 && -arg3*x110_1+arg4 f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 1. Accelerating the following rules: 1: f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1+arg3, arg6'=arg6P_2, arg7'=arg7P_2, [ arg5>1 && arg4>arg3 && arg7>0 && arg4>0 && arg1>=arg1P_2 && arg2>=arg1P_2 && arg1>0 && arg2>0 && arg1P_2>0 && arg2P_2>0 && arg2>=2+arg7 && arg2>=2+arg6 ], cost: 1 Failed to prove monotonicity of the guard of rule 1. [accelerate] Nesting with 1 inner and 1 outer candidates Accelerating simple loops of location 6. Accelerating the following rules: 13: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg3>arg2 && arg1<1 ], cost: 1 Accelerated rule 13 with backward acceleration, yielding the new rule 17. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 13. Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 ], cost: 1 1: f731_0_main_GE -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1+arg3, arg6'=arg6P_2, arg7'=arg7P_2, [ arg5>1 && arg4>arg3 && arg7>0 && arg4>0 && arg1>=arg1P_2 && arg2>=arg1P_2 && arg1>0 && arg2>0 && arg1P_2>0 && arg2P_2>0 && arg2>=2+arg7 && arg2>=2+arg6 ], cost: 1 3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg7, arg3'=arg3P_4, arg4'=1+arg6, arg5'=arg7, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 5: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg6'=arg6P_6, arg7'=arg7P_6, [ arg2-x76_1*arg3==0 && arg1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 ], cost: 1 6: f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ arg2-x85_1*arg3==0 && arg1P_7<=arg1 && arg1>0 && arg1P_7>0 && 2+arg4<=arg1 && 2+arg5<=arg1 && arg2-arg3*arg2P_7>=0 && arg3>arg2-arg3*arg2P_7 ], cost: 1 8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1 17: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg3>arg2 && 1-arg1>=1 ], cost: 1-arg1 9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && -x90_1*arg3+arg4<0 ], cost: 1 10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && -arg3*x95_1+arg4>0 ], cost: 1 12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1 14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && -arg3*x105_1+arg4==0 ], cost: 1 11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4arg3 ], cost: 1 15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ -arg3*x110_1+arg4==0 && arg4>arg3 && -arg3*x110_1+arg4 f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 ], cost: 1 18: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2>1 && arg1>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1 ], cost: 2 3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg7, arg3'=arg3P_4, arg4'=1+arg6, arg5'=arg7, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 5: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic\' : arg6'=arg6P_6, arg7'=arg7P_6, [ arg2-x76_1*arg3==0 && arg1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 ], cost: 1 6: f1280_0_getPowerOfKInSource_IntArithmetic\' -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ arg2-x85_1*arg3==0 && arg1P_7<=arg1 && arg1>0 && arg1P_7>0 && 2+arg4<=arg1 && 2+arg5<=arg1 && arg2-arg3*arg2P_7>=0 && arg3>arg2-arg3*arg2P_7 ], cost: 1 8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1 9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && -x90_1*arg3+arg4<0 ], cost: 1 10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && -arg3*x95_1+arg4>0 ], cost: 1 12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1 14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && -arg3*x105_1+arg4==0 ], cost: 1 19: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && 1-arg4>=1 ], cost: 2-arg4 11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4arg3 ], cost: 1 15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ -arg3*x110_1+arg4==0 && arg4>arg3 && -arg3*x110_1+arg4 f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1 Eliminated locations (on linear paths): Start location: __init 0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 ], cost: 1 18: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2>1 && arg1>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1 ], cost: 2 3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg7, arg3'=arg3P_4, arg4'=1+arg6, arg5'=arg7, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 20: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ arg2-x76_1*arg3==0 && arg1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 && arg2-x85_1*arg3==0 && arg1P_7<=arg1 && arg1P_7>0 && arg2-arg3*arg2P_7>=0 && arg3>arg2-arg3*arg2P_7 ], cost: 2 8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1 9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && -x90_1*arg3+arg4<0 ], cost: 1 10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && -arg3*x95_1+arg4>0 ], cost: 1 12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1 14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && -arg3*x105_1+arg4==0 ], cost: 1 19: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && 1-arg4>=1 ], cost: 2-arg4 11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4arg3 ], cost: 1 15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ -arg3*x110_1+arg4==0 && arg4>arg3 && -arg3*x110_1+arg4 f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1 Accelerating simple loops of location 3. Accelerating the following rules: 20: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ arg2-x76_1*arg3==0 && arg1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 && arg2-x85_1*arg3==0 && arg1P_7<=arg1 && arg1P_7>0 && arg2-arg3*arg2P_7>=0 && arg3>arg2-arg3*arg2P_7 ], cost: 2 Accelerated rule 20 with non-termination, yielding the new rule 21. [accelerate] Nesting with 0 inner and 1 outer candidates Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 ], cost: 1 18: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2>1 && arg1>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1 ], cost: 2 3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg7, arg3'=arg3P_4, arg4'=1+arg6, arg5'=arg7, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 20: f1280_0_getPowerOfKInSource_IntArithmetic -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg6'=arg6P_7, arg7'=arg7P_7, [ arg2-x76_1*arg3==0 && arg1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 && arg2-x85_1*arg3==0 && arg1P_7<=arg1 && arg1P_7>0 && arg2-arg3*arg2P_7>=0 && arg3>arg2-arg3*arg2P_7 ], cost: 2 21: f1280_0_getPowerOfKInSource_IntArithmetic -> [12] : [ arg2-x76_1*arg3==0 && arg1>0 && 2+arg5<=arg1 && 2+arg4<=arg1 && arg2-x85_1*arg3==0 && arg1P_7<=arg1 && arg1P_7>0 && arg2-arg3*arg2P_7>=0 && arg3>arg2-arg3*arg2P_7 && -x76_1*arg3+arg2P_7==0 && 2+arg5<=arg1P_7 && 2+arg4<=arg1P_7 && -x85_1*arg3+arg2P_7==0 && -arg3*arg2P_7+arg2P_7>=0 && arg3>-arg3*arg2P_7+arg2P_7 ], cost: NONTERM 8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1 9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && -x90_1*arg3+arg4<0 ], cost: 1 10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && -arg3*x95_1+arg4>0 ], cost: 1 12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1 14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && -arg3*x105_1+arg4==0 ], cost: 1 19: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && 1-arg4>=1 ], cost: 2-arg4 11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4arg3 ], cost: 1 15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ -arg3*x110_1+arg4==0 && arg4>arg3 && -arg3*x110_1+arg4 f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 ], cost: 1 18: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2>1 && arg1>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1 ], cost: 2 3: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_4, arg2'=arg7, arg3'=arg3P_4, arg4'=1+arg6, arg5'=arg7, arg6'=arg6P_4, arg7'=arg7P_4, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && -1+arg1P_4<=arg2 && arg1>0 && arg2>0 && arg1P_4>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 22: f731_0_main_GE -> f1280_0_getPowerOfKInSource_IntArithmetic : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_4, arg4'=1+arg6, arg5'=arg7, arg6'=arg6P_7, arg7'=arg7P_7, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && arg7-x76_1*arg3P_4==0 && -arg3P_4*x85_1+arg7==0 && arg1P_7>0 && arg7-arg3P_4*arg2P_7>=0 && arg3P_4>arg7-arg3P_4*arg2P_7 && arg1P_7<=1+arg2 ], cost: 3 23: f731_0_main_GE -> [12] : [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && arg7-x76_1*arg3P_4==0 && -arg3P_4*x85_1+arg7==0 && -x76_1*arg3P_4^2+arg7>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM 8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1 9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && -x90_1*arg3+arg4<0 ], cost: 1 10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && -arg3*x95_1+arg4>0 ], cost: 1 12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1 14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && -arg3*x105_1+arg4==0 ], cost: 1 19: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && 1-arg4>=1 ], cost: 2-arg4 11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4arg3 ], cost: 1 15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ -arg3*x110_1+arg4==0 && arg4>arg3 && -arg3*x110_1+arg4 f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 0: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2>1 && arg7P_1>0 && arg1P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>2 ], cost: 1 18: f1_0_main_Load -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2>1 && arg1>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1 ], cost: 2 7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 23: f731_0_main_GE -> [12] : [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && arg7-x76_1*arg3P_4==0 && -arg3P_4*x85_1+arg7==0 && -x76_1*arg3P_4^2+arg7>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM 8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1 9: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_10, arg6'=arg6P_10, arg7'=arg7P_10, [ arg4>arg3 && -x90_1*arg3+arg4<0 ], cost: 1 10: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_11, arg6'=arg6P_11, arg7'=arg7P_11, [ arg4>arg3 && -arg3*x95_1+arg4>0 ], cost: 1 12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1 14: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE\' : arg5'=arg5P_15, arg6'=arg6P_15, arg7'=arg7P_15, [ arg4>arg3 && -arg3*x105_1+arg4==0 ], cost: 1 19: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && 1-arg4>=1 ], cost: 2-arg4 11: f1209_0_checkPrime_GE\' -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4arg3 ], cost: 1 15: f1209_0_checkPrime_GE\' -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ -arg3*x110_1+arg4==0 && arg4>arg3 && -arg3*x110_1+arg4 f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, arg7'=arg7P_17, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 23: f731_0_main_GE -> [12] : [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && arg7-x76_1*arg3P_4==0 && -arg3P_4*x85_1+arg7==0 && -x76_1*arg3P_4^2+arg7>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM 8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1 12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1 19: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && 1-arg4>=1 ], cost: 2-arg4 26: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && -x90_1*arg3+arg4<0 && -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4 f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && -x90_1*arg3+arg4<0 && -arg3*x110_1+arg4==0 && -arg3*x110_1+arg4 f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && -arg3*x95_1+arg4>0 && -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4 f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && -arg3*x95_1+arg4>0 && -arg3*x110_1+arg4==0 && -arg3*x110_1+arg4 f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && -arg3*x105_1+arg4==0 && -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4 f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && -arg3*x105_1+arg4==0 && -arg3*x110_1+arg4==0 && -arg3*x110_1+arg4 f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2P_17, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 ], cost: 2 25: __init -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2P_17, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2P_17>1 && arg1P_17>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 ], cost: 3 Accelerating simple loops of location 7. Accelerating the following rules: 26: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && -x90_1*arg3+arg4<0 && -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4 f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && -arg3*x95_1+arg4>0 && -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4 f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && -arg3*x105_1+arg4==0 && -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4 f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 23: f731_0_main_GE -> [12] : [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && arg7-x76_1*arg3P_4==0 && -arg3P_4*x85_1+arg7==0 && -x76_1*arg3P_4^2+arg7>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM 8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1 12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1 19: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && 1-arg4>=1 ], cost: 2-arg4 26: f1209_0_checkPrime_GE -> f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && -x90_1*arg3+arg4<0 && -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4 f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && -x90_1*arg3+arg4<0 && -arg3*x110_1+arg4==0 && -arg3*x110_1+arg4 f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && -arg3*x95_1+arg4>0 && -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4 f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && -arg3*x95_1+arg4>0 && -arg3*x110_1+arg4==0 && -arg3*x110_1+arg4 f1209_0_checkPrime_GE : arg3'=1+arg3, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg4>arg3 && -arg3*x105_1+arg4==0 && -arg3*x100_1+arg4>0 && -arg3*x100_1+arg4 f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && -arg3*x105_1+arg4==0 && -arg3*x110_1+arg4==0 && -arg3*x110_1+arg4 f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2P_17, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 ], cost: 2 25: __init -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2P_17, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2P_17>1 && arg1P_17>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 ], cost: 3 Chained accelerated rules (with incoming rules): Start location: __init 7: f731_0_main_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 ], cost: 1 23: f731_0_main_GE -> [12] : [ arg5>1 && arg4>arg3 && arg4>0 && arg7>0 && arg1>0 && arg2>0 && 2+arg7<=arg2 && 2+arg6<=arg2 && arg7-x76_1*arg3P_4==0 && -arg3P_4*x85_1+arg7==0 && -x76_1*arg3P_4^2+arg7>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM 8: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=2, arg4'=1+arg1, arg5'=arg5P_9, arg6'=arg6P_9, arg7'=arg7P_9, [ arg3>arg2 && arg1>0 ], cost: 1 32: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=3, arg4'=1+arg1, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg3>arg2 && 1+arg1>2 && 1-2*x90_1+arg1<0 && 2*x100_1-arg1==0 ], cost: 3 33: f1029_0_findKthPrime_GE -> f1209_0_checkPrime_GE : arg1'=arg3, arg3'=3, arg4'=1+arg1, arg5'=arg5P_12, arg6'=arg6P_12, arg7'=arg7P_12, [ arg3>arg2 && 1+arg1>2 && 1-2*x95_1+arg1>0 && 2*x100_1-arg1==0 ], cost: 3 12: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg4<=arg3 ], cost: 1 19: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, arg7'=arg7P_14, [ arg4<=arg3 && arg1>1+arg2 && 1-arg4>=1 ], cost: 2-arg4 27: f1209_0_checkPrime_GE -> f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && -x90_1*arg3+arg4<0 && -arg3*x110_1+arg4==0 && -arg3*x110_1+arg4 f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && -arg3*x95_1+arg4>0 && -arg3*x110_1+arg4==0 && -arg3*x110_1+arg4 f1029_0_findKthPrime_GE : arg1'=arg4, arg3'=arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg4>arg3 && -arg3*x105_1+arg4==0 && -arg3*x110_1+arg4==0 && -arg3*x110_1+arg4 f731_0_main_GE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=0, arg4'=arg4P_1, arg5'=arg2P_17, arg6'=1, arg7'=arg7P_1, [ arg4P_1>-1 && arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 ], cost: 2 25: __init -> f731_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=1, arg4'=arg4P_1, arg5'=arg2P_17, arg6'=arg6P_2, arg7'=arg7P_2, [ arg2P_17>1 && arg1P_17>0 && arg4P_1>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 ], cost: 3 Eliminated locations (on tree-shaped paths): Start location: __init 38: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg2'=1+arg2, arg3'=arg3, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg3>arg2 && arg1>0 && 1+arg1<=2 ], cost: 2 39: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1-2*x90_1+arg1<0 && 1-2*x110_1+arg1==0 ], cost: 3 40: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1-2*x95_1+arg1>0 && 1-2*x110_1+arg1==0 ], cost: 3 41: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1+arg1-2*x105_1==0 && 1-2*x110_1+arg1==0 ], cost: 3 42: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg2'=1+arg2, arg3'=arg3, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg3>arg2 && 1+arg1>2 && 1-2*x90_1+arg1<0 && 2*x100_1-arg1==0 && 1+arg1<=3 ], cost: 4 43: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && 2*x100_1-arg1==0 && 1+arg1>3 && 1-3*x90_1+arg1<0 && 1-3*x110_1+arg1==0 ], cost: 5 44: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && 2*x100_1-arg1==0 && 1+arg1>3 && 1-3*x95_1+arg1>0 && 1-3*x110_1+arg1==0 ], cost: 5 45: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && 2*x100_1-arg1==0 && 1+arg1>3 && 1+arg1-3*x105_1==0 && 1-3*x110_1+arg1==0 ], cost: 5 46: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg2'=1+arg2, arg3'=arg3, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg3>arg2 && 1+arg1>2 && 1-2*x95_1+arg1>0 && 2*x100_1-arg1==0 && 1+arg1<=3 ], cost: 4 47: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x95_1+arg1>0 && 2*x100_1-arg1==0 && 1+arg1>3 && 1-3*x90_1+arg1<0 && 1-3*x110_1+arg1==0 ], cost: 5 48: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x95_1+arg1>0 && 2*x100_1-arg1==0 && 1+arg1>3 && 1-3*x95_1+arg1>0 && 1-3*x110_1+arg1==0 ], cost: 5 49: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x95_1+arg1>0 && 2*x100_1-arg1==0 && 1+arg1>3 && 1+arg1-3*x105_1==0 && 1-3*x110_1+arg1==0 ], cost: 5 34: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 && arg4P_1>0 && 2+arg7P_1<=arg2P_1 ], cost: 3 35: __init -> [12] : [ arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 && arg4P_1>0 && 2+arg7P_1<=arg2P_1 && arg7P_1-x76_1*arg3P_4==0 && -arg3P_4*x85_1+arg7P_1==0 && -x76_1*arg3P_4^2+arg7P_1>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7P_1 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM 36: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6P_2, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg1P_17>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 && arg4P_1>1 && arg7P_2>0 && 2+arg7P_2<=arg2P_2 && 2+arg6P_2<=arg2P_2 ], cost: 4 37: __init -> [12] : [ arg2P_17>1 && arg1P_17>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 && arg4P_1>1 && arg7P_2>0 && 2+arg7P_2<=arg2P_2 && 2+arg6P_2<=arg2P_2 && -x76_1*arg3P_4+arg7P_2==0 && -arg3P_4*x85_1+arg7P_2==0 && -x76_1*arg3P_4^2+arg7P_2>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7P_2 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM Applied pruning (of leafs and parallel rules): Start location: __init 38: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg2'=1+arg2, arg3'=arg3, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg3>arg2 && arg1>0 && 1+arg1<=2 ], cost: 2 39: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1-2*x90_1+arg1<0 && 1-2*x110_1+arg1==0 ], cost: 3 41: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1+arg1-2*x105_1==0 && 1-2*x110_1+arg1==0 ], cost: 3 43: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && 2*x100_1-arg1==0 && 1+arg1>3 && 1-3*x90_1+arg1<0 && 1-3*x110_1+arg1==0 ], cost: 5 44: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg3'=arg3, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && 2*x100_1-arg1==0 && 1+arg1>3 && 1-3*x95_1+arg1>0 && 1-3*x110_1+arg1==0 ], cost: 5 34: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 && arg4P_1>0 && 2+arg7P_1<=arg2P_1 ], cost: 3 35: __init -> [12] : [ arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 && arg4P_1>0 && 2+arg7P_1<=arg2P_1 && arg7P_1-x76_1*arg3P_4==0 && -arg3P_4*x85_1+arg7P_1==0 && -x76_1*arg3P_4^2+arg7P_1>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7P_1 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM 36: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6P_2, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg1P_17>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 && arg4P_1>1 && arg7P_2>0 && 2+arg7P_2<=arg2P_2 && 2+arg6P_2<=arg2P_2 ], cost: 4 37: __init -> [12] : [ arg2P_17>1 && arg1P_17>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 && arg4P_1>1 && arg7P_2>0 && 2+arg7P_2<=arg2P_2 && 2+arg6P_2<=arg2P_2 && -x76_1*arg3P_4+arg7P_2==0 && -arg3P_4*x85_1+arg7P_2==0 && -x76_1*arg3P_4^2+arg7P_2>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7P_2 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM Accelerating simple loops of location 6. Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 38: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg2'=1+arg2, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg3>arg2 && 1-arg1==0 ], cost: 2 39: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1-2*x90_1+arg1<0 && 1-2*x110_1+arg1==0 ], cost: 3 41: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1+arg1-2*x105_1==0 && 1-2*x110_1+arg1==0 ], cost: 3 43: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && 2*x100_1-arg1==0 && 1+arg1>3 && 1-3*x90_1+arg1<0 && 1-3*x110_1+arg1==0 ], cost: 5 44: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && 2*x100_1-arg1==0 && 1+arg1>3 && 1-3*x95_1+arg1>0 && 1-3*x110_1+arg1==0 ], cost: 5 Failed to prove monotonicity of the guard of rule 38. Failed to prove monotonicity of the guard of rule 39. Failed to prove monotonicity of the guard of rule 41. Failed to prove monotonicity of the guard of rule 43. Failed to prove monotonicity of the guard of rule 44. [accelerate] Nesting with 5 inner and 5 outer candidates Accelerated all simple loops using metering functions (where possible): Start location: __init 38: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg2'=1+arg2, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg3>arg2 && 1-arg1==0 ], cost: 2 39: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1-2*x90_1+arg1<0 && 1-2*x110_1+arg1==0 ], cost: 3 41: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1+arg1>2 && 1+arg1-2*x105_1==0 && 1-2*x110_1+arg1==0 ], cost: 3 43: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && 2*x100_1-arg1==0 && 1+arg1>3 && 1-3*x90_1+arg1<0 && 1-3*x110_1+arg1==0 ], cost: 5 44: f1029_0_findKthPrime_GE -> f1029_0_findKthPrime_GE : arg1'=1+arg1, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, arg7'=arg7P_16, [ arg3>arg2 && 1-2*x90_1+arg1<0 && 2*x100_1-arg1==0 && 1+arg1>3 && 1-3*x95_1+arg1>0 && 1-3*x110_1+arg1==0 ], cost: 5 34: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 && arg4P_1>0 && 2+arg7P_1<=arg2P_1 ], cost: 3 35: __init -> [12] : [ arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 && arg4P_1>0 && 2+arg7P_1<=arg2P_1 && arg7P_1-x76_1*arg3P_4==0 && -arg3P_4*x85_1+arg7P_1==0 && -x76_1*arg3P_4^2+arg7P_1>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7P_1 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM 36: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6P_2, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg1P_17>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 && arg4P_1>1 && arg7P_2>0 && 2+arg7P_2<=arg2P_2 && 2+arg6P_2<=arg2P_2 ], cost: 4 37: __init -> [12] : [ arg2P_17>1 && arg1P_17>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 && arg4P_1>1 && arg7P_2>0 && 2+arg7P_2<=arg2P_2 && 2+arg6P_2<=arg2P_2 && -x76_1*arg3P_4+arg7P_2==0 && -arg3P_4*x85_1+arg7P_2==0 && -x76_1*arg3P_4^2+arg7P_2>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7P_2 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM Chained accelerated rules (with incoming rules): Start location: __init 34: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 && arg4P_1>0 && 2+arg7P_1<=arg2P_1 ], cost: 3 35: __init -> [12] : [ arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 && arg4P_1>0 && 2+arg7P_1<=arg2P_1 && arg7P_1-x76_1*arg3P_4==0 && -arg3P_4*x85_1+arg7P_1==0 && -x76_1*arg3P_4^2+arg7P_1>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7P_1 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM 36: __init -> f1029_0_findKthPrime_GE : arg1'=1, arg2'=0, arg3'=arg6P_2, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, arg7'=arg7P_8, [ arg2P_17>1 && arg1P_17>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 && arg4P_1>1 && arg7P_2>0 && 2+arg7P_2<=arg2P_2 && 2+arg6P_2<=arg2P_2 ], cost: 4 37: __init -> [12] : [ arg2P_17>1 && arg1P_17>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 && arg4P_1>1 && arg7P_2>0 && 2+arg7P_2<=arg2P_2 && 2+arg6P_2<=arg2P_2 && -x76_1*arg3P_4+arg7P_2==0 && -arg3P_4*x85_1+arg7P_2==0 && -x76_1*arg3P_4^2+arg7P_2>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7P_2 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM 50: __init -> f1029_0_findKthPrime_GE : arg1'=2, arg2'=1, arg3'=1, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [], cost: 5 51: __init -> f1029_0_findKthPrime_GE : arg1'=2, arg2'=1, arg3'=arg6P_2, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, arg7'=arg7P_13, [ arg6P_2>0 ], cost: 6 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 35: __init -> [12] : [ arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 && arg4P_1>0 && 2+arg7P_1<=arg2P_1 && arg7P_1-x76_1*arg3P_4==0 && -arg3P_4*x85_1+arg7P_1==0 && -x76_1*arg3P_4^2+arg7P_1>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7P_1 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM 37: __init -> [12] : [ arg2P_17>1 && arg1P_17>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 && arg4P_1>1 && arg7P_2>0 && 2+arg7P_2<=arg2P_2 && 2+arg6P_2<=arg2P_2 && -x76_1*arg3P_4+arg7P_2==0 && -arg3P_4*x85_1+arg7P_2==0 && -x76_1*arg3P_4^2+arg7P_2>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7P_2 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 35: __init -> [12] : [ arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 && arg4P_1>0 && 2+arg7P_1<=arg2P_1 && arg7P_1-x76_1*arg3P_4==0 && -arg3P_4*x85_1+arg7P_1==0 && -x76_1*arg3P_4^2+arg7P_1>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7P_1 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM 37: __init -> [12] : [ arg2P_17>1 && arg1P_17>0 && arg1P_2>0 && arg2P_2>0 && arg1P_2<=arg1P_17 && arg4P_1>1 && arg7P_2>0 && 2+arg7P_2<=arg2P_2 && 2+arg6P_2<=arg2P_2 && -x76_1*arg3P_4+arg7P_2==0 && -arg3P_4*x85_1+arg7P_2==0 && -x76_1*arg3P_4^2+arg7P_2>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7P_2 && -arg3P_4*x85_1+x76_1*arg3P_4==0 && -x76_1*arg3P_4^2+x76_1*arg3P_4>=0 && arg3P_4>-x76_1*arg3P_4^2+x76_1*arg3P_4 ], cost: NONTERM Computing asymptotic complexity for rule 35 Guard is satisfiable, yielding nontermination Resulting cost NONTERM has complexity: Nonterm Found new complexity Nonterm. Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: [ arg2P_17>1 && arg7P_1>0 && arg1P_1<=arg1P_17 && arg1P_17>0 && arg1P_1>0 && arg2P_1>2 && arg4P_1>0 && 2+arg7P_1<=arg2P_1 && arg7P_1-x76_1*arg3P_4==0 && -arg3P_4*x85_1+arg7P_1==0 && -x76_1*arg3P_4^2+arg7P_1>=0 && arg3P_4>-x76_1*arg3P_4^2+arg7P_1 ] NO