NO ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: l10 0: l0 -> l1 : Result_4^0'=Result_4^post_1, k_6^0'=k_6^post_1, x_5^0'=x_5^post_1, [ Result_4^0==Result_4^post_1 && k_6^0==k_6^post_1 && x_5^0==x_5^post_1 ], cost: 1 1: l1 -> l2 : Result_4^0'=Result_4^post_2, k_6^0'=k_6^post_2, x_5^0'=x_5^post_2, [ -x_5^0<=0 && x_5^0<=0 && Result_4^0==Result_4^post_2 && k_6^0==k_6^post_2 && x_5^0==x_5^post_2 ], cost: 1 2: l1 -> l2 : Result_4^0'=Result_4^post_3, k_6^0'=k_6^post_3, x_5^0'=x_5^post_3, [ -x_5^0<=0 && 0<=-1+x_5^0 && x_5^1_1==x_5^1_1 && x_5^post_3==1+x_5^1_1 && -x_5^post_3<=0 && x_5^post_3<=0 && Result_4^0==Result_4^post_3 && k_6^0==k_6^post_3 ], cost: 1 3: l1 -> l2 : Result_4^0'=Result_4^post_4, k_6^0'=k_6^post_4, x_5^0'=x_5^post_4, [ 0<=-1-x_5^0 && x_5^1_2==x_5^1_2 && x_5^post_4==-1+x_5^1_2 && -x_5^post_4<=0 && x_5^post_4<=0 && Result_4^0==Result_4^post_4 && k_6^0==k_6^post_4 ], cost: 1 4: l1 -> l3 : Result_4^0'=Result_4^post_5, k_6^0'=k_6^post_5, x_5^0'=x_5^post_5, [ -x_5^0<=0 && 0<=-1+x_5^0 && x_5^1_3==x_5^1_3 && x_5^2_1==1+x_5^1_3 && -x_5^2_1<=0 && 0<=-1+x_5^2_1 && x_5^3_1==x_5^3_1 && x_5^post_5==1+x_5^3_1 && Result_4^0==Result_4^post_5 && k_6^0==k_6^post_5 ], cost: 1 6: l1 -> l4 : Result_4^0'=Result_4^post_7, k_6^0'=k_6^post_7, x_5^0'=x_5^post_7, [ -x_5^0<=0 && 0<=-1+x_5^0 && x_5^1_4==x_5^1_4 && x_5^2_2_1==1+x_5^1_4 && 0<=-1-x_5^2_2_1 && k_6^0<=0 && x_5^3_2_1==x_5^3_2_1 && x_5^post_7==-1+x_5^3_2_1 && Result_4^0==Result_4^post_7 && k_6^0==k_6^post_7 ], cost: 1 8: l1 -> l5 : Result_4^0'=Result_4^post_9, k_6^0'=k_6^post_9, x_5^0'=x_5^post_9, [ -x_5^0<=0 && 0<=-1+x_5^0 && x_5^1_5==x_5^1_5 && x_5^2_3_1==1+x_5^1_5 && 0<=-1-x_5^2_3_1 && 0<=-1+k_6^0 && x_5^3_3_1==k_6^0 && x_5^4_1==x_5^4_1 && x_5^post_9==-1+x_5^4_1 && Result_4^0==Result_4^post_9 && k_6^0==k_6^post_9 ], cost: 1 10: l1 -> l6 : Result_4^0'=Result_4^post_11, k_6^0'=k_6^post_11, x_5^0'=x_5^post_11, [ 0<=-1-x_5^0 && x_5^1_6==x_5^1_6 && x_5^2_4_1==-1+x_5^1_6 && -x_5^2_4_1<=0 && 0<=-1+x_5^2_4_1 && x_5^3_4_1==x_5^3_4_1 && x_5^post_11==1+x_5^3_4_1 && Result_4^0==Result_4^post_11 && k_6^0==k_6^post_11 ], cost: 1 12: l1 -> l7 : Result_4^0'=Result_4^post_13, k_6^0'=k_6^post_13, x_5^0'=x_5^post_13, [ 0<=-1-x_5^0 && x_5^1_7==x_5^1_7 && x_5^2_5_1==-1+x_5^1_7 && 0<=-1-x_5^2_5_1 && k_6^0<=0 && x_5^3_5_1==x_5^3_5_1 && x_5^post_13==-1+x_5^3_5_1 && Result_4^0==Result_4^post_13 && k_6^0==k_6^post_13 ], cost: 1 14: l1 -> l8 : Result_4^0'=Result_4^post_15, k_6^0'=k_6^post_15, x_5^0'=x_5^post_15, [ 0<=-1-x_5^0 && x_5^1_8==x_5^1_8 && x_5^2_6_1==-1+x_5^1_8 && 0<=-1-x_5^2_6_1 && 0<=-1+k_6^0 && x_5^3_6_1==k_6^0 && x_5^4_2_1==x_5^4_2_1 && x_5^post_15==-1+x_5^4_2_1 && Result_4^0==Result_4^post_15 && k_6^0==k_6^post_15 ], cost: 1 16: l2 -> l9 : Result_4^0'=Result_4^post_17, k_6^0'=k_6^post_17, x_5^0'=x_5^post_17, [ Result_4^post_17==Result_4^post_17 && k_6^0==k_6^post_17 && x_5^0==x_5^post_17 ], cost: 1 5: l3 -> l1 : Result_4^0'=Result_4^post_6, k_6^0'=k_6^post_6, x_5^0'=x_5^post_6, [ Result_4^0==Result_4^post_6 && k_6^0==k_6^post_6 && x_5^0==x_5^post_6 ], cost: 1 7: l4 -> l1 : Result_4^0'=Result_4^post_8, k_6^0'=k_6^post_8, x_5^0'=x_5^post_8, [ Result_4^0==Result_4^post_8 && k_6^0==k_6^post_8 && x_5^0==x_5^post_8 ], cost: 1 9: l5 -> l1 : Result_4^0'=Result_4^post_10, k_6^0'=k_6^post_10, x_5^0'=x_5^post_10, [ Result_4^0==Result_4^post_10 && k_6^0==k_6^post_10 && x_5^0==x_5^post_10 ], cost: 1 11: l6 -> l1 : Result_4^0'=Result_4^post_12, k_6^0'=k_6^post_12, x_5^0'=x_5^post_12, [ Result_4^0==Result_4^post_12 && k_6^0==k_6^post_12 && x_5^0==x_5^post_12 ], cost: 1 13: l7 -> l1 : Result_4^0'=Result_4^post_14, k_6^0'=k_6^post_14, x_5^0'=x_5^post_14, [ Result_4^0==Result_4^post_14 && k_6^0==k_6^post_14 && x_5^0==x_5^post_14 ], cost: 1 15: l8 -> l1 : Result_4^0'=Result_4^post_16, k_6^0'=k_6^post_16, x_5^0'=x_5^post_16, [ Result_4^0==Result_4^post_16 && k_6^0==k_6^post_16 && x_5^0==x_5^post_16 ], cost: 1 17: l10 -> l0 : Result_4^0'=Result_4^post_18, k_6^0'=k_6^post_18, x_5^0'=x_5^post_18, [ Result_4^0==Result_4^post_18 && k_6^0==k_6^post_18 && x_5^0==x_5^post_18 ], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 17: l10 -> l0 : Result_4^0'=Result_4^post_18, k_6^0'=k_6^post_18, x_5^0'=x_5^post_18, [ Result_4^0==Result_4^post_18 && k_6^0==k_6^post_18 && x_5^0==x_5^post_18 ], cost: 1 Removed unreachable and leaf rules: Start location: l10 0: l0 -> l1 : Result_4^0'=Result_4^post_1, k_6^0'=k_6^post_1, x_5^0'=x_5^post_1, [ Result_4^0==Result_4^post_1 && k_6^0==k_6^post_1 && x_5^0==x_5^post_1 ], cost: 1 4: l1 -> l3 : Result_4^0'=Result_4^post_5, k_6^0'=k_6^post_5, x_5^0'=x_5^post_5, [ -x_5^0<=0 && 0<=-1+x_5^0 && x_5^1_3==x_5^1_3 && x_5^2_1==1+x_5^1_3 && -x_5^2_1<=0 && 0<=-1+x_5^2_1 && x_5^3_1==x_5^3_1 && x_5^post_5==1+x_5^3_1 && Result_4^0==Result_4^post_5 && k_6^0==k_6^post_5 ], cost: 1 6: l1 -> l4 : Result_4^0'=Result_4^post_7, k_6^0'=k_6^post_7, x_5^0'=x_5^post_7, [ -x_5^0<=0 && 0<=-1+x_5^0 && x_5^1_4==x_5^1_4 && x_5^2_2_1==1+x_5^1_4 && 0<=-1-x_5^2_2_1 && k_6^0<=0 && x_5^3_2_1==x_5^3_2_1 && x_5^post_7==-1+x_5^3_2_1 && Result_4^0==Result_4^post_7 && k_6^0==k_6^post_7 ], cost: 1 8: l1 -> l5 : Result_4^0'=Result_4^post_9, k_6^0'=k_6^post_9, x_5^0'=x_5^post_9, [ -x_5^0<=0 && 0<=-1+x_5^0 && x_5^1_5==x_5^1_5 && x_5^2_3_1==1+x_5^1_5 && 0<=-1-x_5^2_3_1 && 0<=-1+k_6^0 && x_5^3_3_1==k_6^0 && x_5^4_1==x_5^4_1 && x_5^post_9==-1+x_5^4_1 && Result_4^0==Result_4^post_9 && k_6^0==k_6^post_9 ], cost: 1 10: l1 -> l6 : Result_4^0'=Result_4^post_11, k_6^0'=k_6^post_11, x_5^0'=x_5^post_11, [ 0<=-1-x_5^0 && x_5^1_6==x_5^1_6 && x_5^2_4_1==-1+x_5^1_6 && -x_5^2_4_1<=0 && 0<=-1+x_5^2_4_1 && x_5^3_4_1==x_5^3_4_1 && x_5^post_11==1+x_5^3_4_1 && Result_4^0==Result_4^post_11 && k_6^0==k_6^post_11 ], cost: 1 12: l1 -> l7 : Result_4^0'=Result_4^post_13, k_6^0'=k_6^post_13, x_5^0'=x_5^post_13, [ 0<=-1-x_5^0 && x_5^1_7==x_5^1_7 && x_5^2_5_1==-1+x_5^1_7 && 0<=-1-x_5^2_5_1 && k_6^0<=0 && x_5^3_5_1==x_5^3_5_1 && x_5^post_13==-1+x_5^3_5_1 && Result_4^0==Result_4^post_13 && k_6^0==k_6^post_13 ], cost: 1 14: l1 -> l8 : Result_4^0'=Result_4^post_15, k_6^0'=k_6^post_15, x_5^0'=x_5^post_15, [ 0<=-1-x_5^0 && x_5^1_8==x_5^1_8 && x_5^2_6_1==-1+x_5^1_8 && 0<=-1-x_5^2_6_1 && 0<=-1+k_6^0 && x_5^3_6_1==k_6^0 && x_5^4_2_1==x_5^4_2_1 && x_5^post_15==-1+x_5^4_2_1 && Result_4^0==Result_4^post_15 && k_6^0==k_6^post_15 ], cost: 1 5: l3 -> l1 : Result_4^0'=Result_4^post_6, k_6^0'=k_6^post_6, x_5^0'=x_5^post_6, [ Result_4^0==Result_4^post_6 && k_6^0==k_6^post_6 && x_5^0==x_5^post_6 ], cost: 1 7: l4 -> l1 : Result_4^0'=Result_4^post_8, k_6^0'=k_6^post_8, x_5^0'=x_5^post_8, [ Result_4^0==Result_4^post_8 && k_6^0==k_6^post_8 && x_5^0==x_5^post_8 ], cost: 1 9: l5 -> l1 : Result_4^0'=Result_4^post_10, k_6^0'=k_6^post_10, x_5^0'=x_5^post_10, [ Result_4^0==Result_4^post_10 && k_6^0==k_6^post_10 && x_5^0==x_5^post_10 ], cost: 1 11: l6 -> l1 : Result_4^0'=Result_4^post_12, k_6^0'=k_6^post_12, x_5^0'=x_5^post_12, [ Result_4^0==Result_4^post_12 && k_6^0==k_6^post_12 && x_5^0==x_5^post_12 ], cost: 1 13: l7 -> l1 : Result_4^0'=Result_4^post_14, k_6^0'=k_6^post_14, x_5^0'=x_5^post_14, [ Result_4^0==Result_4^post_14 && k_6^0==k_6^post_14 && x_5^0==x_5^post_14 ], cost: 1 15: l8 -> l1 : Result_4^0'=Result_4^post_16, k_6^0'=k_6^post_16, x_5^0'=x_5^post_16, [ Result_4^0==Result_4^post_16 && k_6^0==k_6^post_16 && x_5^0==x_5^post_16 ], cost: 1 17: l10 -> l0 : Result_4^0'=Result_4^post_18, k_6^0'=k_6^post_18, x_5^0'=x_5^post_18, [ Result_4^0==Result_4^post_18 && k_6^0==k_6^post_18 && x_5^0==x_5^post_18 ], cost: 1 Simplified all rules, resulting in: Start location: l10 0: l0 -> l1 : [], cost: 1 4: l1 -> l3 : x_5^0'=1+x_5^3_1, [ 0<=-1+x_5^0 ], cost: 1 6: l1 -> l4 : x_5^0'=-1+x_5^3_2_1, [ 0<=-1+x_5^0 && k_6^0<=0 ], cost: 1 8: l1 -> l5 : x_5^0'=-1+x_5^4_1, [ 0<=-1+x_5^0 && 0<=-1+k_6^0 ], cost: 1 10: l1 -> l6 : x_5^0'=1+x_5^3_4_1, [ 0<=-1-x_5^0 ], cost: 1 12: l1 -> l7 : x_5^0'=-1+x_5^3_5_1, [ 0<=-1-x_5^0 && k_6^0<=0 ], cost: 1 14: l1 -> l8 : x_5^0'=-1+x_5^4_2_1, [ 0<=-1-x_5^0 && 0<=-1+k_6^0 ], cost: 1 5: l3 -> l1 : [], cost: 1 7: l4 -> l1 : [], cost: 1 9: l5 -> l1 : [], cost: 1 11: l6 -> l1 : [], cost: 1 13: l7 -> l1 : [], cost: 1 15: l8 -> l1 : [], cost: 1 17: l10 -> l0 : [], cost: 1 ### Simplification by acceleration and chaining ### Eliminated locations (on linear paths): Start location: l10 19: l1 -> l1 : x_5^0'=1+x_5^3_1, [ 0<=-1+x_5^0 ], cost: 2 20: l1 -> l1 : x_5^0'=-1+x_5^3_2_1, [ 0<=-1+x_5^0 && k_6^0<=0 ], cost: 2 21: l1 -> l1 : x_5^0'=-1+x_5^4_1, [ 0<=-1+x_5^0 && 0<=-1+k_6^0 ], cost: 2 22: l1 -> l1 : x_5^0'=1+x_5^3_4_1, [ 0<=-1-x_5^0 ], cost: 2 23: l1 -> l1 : x_5^0'=-1+x_5^3_5_1, [ 0<=-1-x_5^0 && k_6^0<=0 ], cost: 2 24: l1 -> l1 : x_5^0'=-1+x_5^4_2_1, [ 0<=-1-x_5^0 && 0<=-1+k_6^0 ], cost: 2 18: l10 -> l1 : [], cost: 2 Accelerating simple loops of location 1. Accelerating the following rules: 19: l1 -> l1 : x_5^0'=1+x_5^3_1, [ 0<=-1+x_5^0 ], cost: 2 20: l1 -> l1 : x_5^0'=-1+x_5^3_2_1, [ 0<=-1+x_5^0 && k_6^0<=0 ], cost: 2 21: l1 -> l1 : x_5^0'=-1+x_5^4_1, [ 0<=-1+x_5^0 && 0<=-1+k_6^0 ], cost: 2 22: l1 -> l1 : x_5^0'=1+x_5^3_4_1, [ 0<=-1-x_5^0 ], cost: 2 23: l1 -> l1 : x_5^0'=-1+x_5^3_5_1, [ 0<=-1-x_5^0 && k_6^0<=0 ], cost: 2 24: l1 -> l1 : x_5^0'=-1+x_5^4_2_1, [ 0<=-1-x_5^0 && 0<=-1+k_6^0 ], cost: 2 [test] deduced pseudo-invariant -1-x_5^3_1+x_5^0<=0, also trying 1+x_5^3_1-x_5^0<=-1 Accelerated rule 19 with non-termination, yielding the new rule 25. Accelerated rule 19 with non-termination, yielding the new rule 26. Accelerated rule 19 with backward acceleration, yielding the new rule 27. [test] deduced pseudo-invariant 1-x_5^3_2_1+x_5^0<=0, also trying -1+x_5^3_2_1-x_5^0<=-1 Accelerated rule 20 with non-termination, yielding the new rule 28. Accelerated rule 20 with non-termination, yielding the new rule 29. Accelerated rule 20 with backward acceleration, yielding the new rule 30. [test] deduced pseudo-invariant 1-x_5^4_1+x_5^0<=0, also trying -1+x_5^4_1-x_5^0<=-1 Accelerated rule 21 with non-termination, yielding the new rule 31. Accelerated rule 21 with non-termination, yielding the new rule 32. Accelerated rule 21 with backward acceleration, yielding the new rule 33. [test] deduced pseudo-invariant 1+x_5^3_4_1-x_5^0<=0, also trying -1-x_5^3_4_1+x_5^0<=-1 Accelerated rule 22 with non-termination, yielding the new rule 34. Accelerated rule 22 with non-termination, yielding the new rule 35. Accelerated rule 22 with backward acceleration, yielding the new rule 36. [test] deduced pseudo-invariant -1+x_5^3_5_1-x_5^0<=0, also trying 1-x_5^3_5_1+x_5^0<=-1 Accelerated rule 23 with non-termination, yielding the new rule 37. Accelerated rule 23 with non-termination, yielding the new rule 38. Accelerated rule 23 with backward acceleration, yielding the new rule 39. [test] deduced pseudo-invariant -1+x_5^4_2_1-x_5^0<=0, also trying 1-x_5^4_2_1+x_5^0<=-1 Accelerated rule 24 with non-termination, yielding the new rule 40. Accelerated rule 24 with non-termination, yielding the new rule 41. Accelerated rule 24 with backward acceleration, yielding the new rule 42. [accelerate] Nesting with 0 inner and 6 outer candidates Also removing duplicate rules: 26 29 32 35 38 41. Accelerated all simple loops using metering functions (where possible): Start location: l10 19: l1 -> l1 : x_5^0'=1+x_5^3_1, [ 0<=-1+x_5^0 ], cost: 2 20: l1 -> l1 : x_5^0'=-1+x_5^3_2_1, [ 0<=-1+x_5^0 && k_6^0<=0 ], cost: 2 21: l1 -> l1 : x_5^0'=-1+x_5^4_1, [ 0<=-1+x_5^0 && 0<=-1+k_6^0 ], cost: 2 22: l1 -> l1 : x_5^0'=1+x_5^3_4_1, [ 0<=-1-x_5^0 ], cost: 2 23: l1 -> l1 : x_5^0'=-1+x_5^3_5_1, [ 0<=-1-x_5^0 && k_6^0<=0 ], cost: 2 24: l1 -> l1 : x_5^0'=-1+x_5^4_2_1, [ 0<=-1-x_5^0 && 0<=-1+k_6^0 ], cost: 2 25: l1 -> [11] : [ 0<=-1+x_5^0 && 0<=x_5^3_1 ], cost: NONTERM 27: l1 -> [11] : [ 0<=-1+x_5^0 && -1-x_5^3_1+x_5^0<=0 ], cost: NONTERM 28: l1 -> [11] : [ 0<=-1+x_5^0 && k_6^0<=0 && 0<=-2+x_5^3_2_1 ], cost: NONTERM 30: l1 -> [11] : [ 0<=-1+x_5^0 && k_6^0<=0 && 1-x_5^3_2_1+x_5^0<=0 ], cost: NONTERM 31: l1 -> [11] : [ 0<=-1+x_5^0 && 0<=-1+k_6^0 && 0<=-2+x_5^4_1 ], cost: NONTERM 33: l1 -> [11] : [ 0<=-1+x_5^0 && 0<=-1+k_6^0 && 1-x_5^4_1+x_5^0<=0 ], cost: NONTERM 34: l1 -> [11] : [ 0<=-1-x_5^0 && 0<=-2-x_5^3_4_1 ], cost: NONTERM 36: l1 -> [11] : [ 0<=-1-x_5^0 && 1+x_5^3_4_1-x_5^0<=0 ], cost: NONTERM 37: l1 -> [11] : [ 0<=-1-x_5^0 && k_6^0<=0 && 0<=-x_5^3_5_1 ], cost: NONTERM 39: l1 -> [11] : [ 0<=-1-x_5^0 && k_6^0<=0 && -1+x_5^3_5_1-x_5^0<=0 ], cost: NONTERM 40: l1 -> [11] : [ 0<=-1-x_5^0 && 0<=-1+k_6^0 && 0<=-x_5^4_2_1 ], cost: NONTERM 42: l1 -> [11] : [ 0<=-1-x_5^0 && 0<=-1+k_6^0 && -1+x_5^4_2_1-x_5^0<=0 ], cost: NONTERM 18: l10 -> l1 : [], cost: 2 Chained accelerated rules (with incoming rules): Start location: l10 18: l10 -> l1 : [], cost: 2 43: l10 -> l1 : x_5^0'=1+x_5^3_1, [ 0<=-1+x_5^0 ], cost: 4 44: l10 -> l1 : x_5^0'=-1+x_5^3_2_1, [ 0<=-1+x_5^0 && k_6^0<=0 ], cost: 4 45: l10 -> l1 : x_5^0'=-1+x_5^4_1, [ 0<=-1+x_5^0 && 0<=-1+k_6^0 ], cost: 4 46: l10 -> l1 : x_5^0'=1+x_5^3_4_1, [ 0<=-1-x_5^0 ], cost: 4 47: l10 -> l1 : x_5^0'=-1+x_5^3_5_1, [ 0<=-1-x_5^0 && k_6^0<=0 ], cost: 4 48: l10 -> l1 : x_5^0'=-1+x_5^4_2_1, [ 0<=-1-x_5^0 && 0<=-1+k_6^0 ], cost: 4 49: l10 -> [11] : [ 0<=-1+x_5^0 ], cost: NONTERM 50: l10 -> [11] : [ 0<=-1+x_5^0 ], cost: NONTERM 51: l10 -> [11] : [ 0<=-1+x_5^0 && k_6^0<=0 ], cost: NONTERM 52: l10 -> [11] : [ 0<=-1+x_5^0 && k_6^0<=0 ], cost: NONTERM 53: l10 -> [11] : [ 0<=-1+x_5^0 && 0<=-1+k_6^0 ], cost: NONTERM 54: l10 -> [11] : [ 0<=-1+x_5^0 && 0<=-1+k_6^0 ], cost: NONTERM 55: l10 -> [11] : [ 0<=-1-x_5^0 ], cost: NONTERM 56: l10 -> [11] : [ 0<=-1-x_5^0 ], cost: NONTERM 57: l10 -> [11] : [ 0<=-1-x_5^0 && k_6^0<=0 ], cost: NONTERM 58: l10 -> [11] : [ 0<=-1-x_5^0 && k_6^0<=0 ], cost: NONTERM 59: l10 -> [11] : [ 0<=-1-x_5^0 && 0<=-1+k_6^0 ], cost: NONTERM 60: l10 -> [11] : [ 0<=-1-x_5^0 && 0<=-1+k_6^0 ], cost: NONTERM Removed unreachable locations (and leaf rules with constant cost): Start location: l10 49: l10 -> [11] : [ 0<=-1+x_5^0 ], cost: NONTERM 50: l10 -> [11] : [ 0<=-1+x_5^0 ], cost: NONTERM 51: l10 -> [11] : [ 0<=-1+x_5^0 && k_6^0<=0 ], cost: NONTERM 52: l10 -> [11] : [ 0<=-1+x_5^0 && k_6^0<=0 ], cost: NONTERM 53: l10 -> [11] : [ 0<=-1+x_5^0 && 0<=-1+k_6^0 ], cost: NONTERM 54: l10 -> [11] : [ 0<=-1+x_5^0 && 0<=-1+k_6^0 ], cost: NONTERM 55: l10 -> [11] : [ 0<=-1-x_5^0 ], cost: NONTERM 56: l10 -> [11] : [ 0<=-1-x_5^0 ], cost: NONTERM 57: l10 -> [11] : [ 0<=-1-x_5^0 && k_6^0<=0 ], cost: NONTERM 58: l10 -> [11] : [ 0<=-1-x_5^0 && k_6^0<=0 ], cost: NONTERM 59: l10 -> [11] : [ 0<=-1-x_5^0 && 0<=-1+k_6^0 ], cost: NONTERM 60: l10 -> [11] : [ 0<=-1-x_5^0 && 0<=-1+k_6^0 ], cost: NONTERM ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: l10 50: l10 -> [11] : [ 0<=-1+x_5^0 ], cost: NONTERM 52: l10 -> [11] : [ 0<=-1+x_5^0 && k_6^0<=0 ], cost: NONTERM 54: l10 -> [11] : [ 0<=-1+x_5^0 && 0<=-1+k_6^0 ], cost: NONTERM 56: l10 -> [11] : [ 0<=-1-x_5^0 ], cost: NONTERM 58: l10 -> [11] : [ 0<=-1-x_5^0 && k_6^0<=0 ], cost: NONTERM 60: l10 -> [11] : [ 0<=-1-x_5^0 && 0<=-1+k_6^0 ], cost: NONTERM Computing asymptotic complexity for rule 50 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: [ 0<=-1+x_5^0 ] NO