NO ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: l13 0: l0 -> l1 : Result_4^0'=Result_4^post_1, __disjvr_0^0'=__disjvr_0^post_1, __disjvr_1^0'=__disjvr_1^post_1, __disjvr_2^0'=__disjvr_2^post_1, tmp_7^0'=tmp_7^post_1, x_5^0'=x_5^post_1, y_6^0'=y_6^post_1, [ Result_4^0==Result_4^post_1 && __disjvr_0^0==__disjvr_0^post_1 && __disjvr_1^0==__disjvr_1^post_1 && __disjvr_2^0==__disjvr_2^post_1 && tmp_7^0==tmp_7^post_1 && x_5^0==x_5^post_1 && y_6^0==y_6^post_1 ], cost: 1 1: l1 -> l3 : Result_4^0'=Result_4^post_2, __disjvr_0^0'=__disjvr_0^post_2, __disjvr_1^0'=__disjvr_1^post_2, __disjvr_2^0'=__disjvr_2^post_2, tmp_7^0'=tmp_7^post_2, x_5^0'=x_5^post_2, y_6^0'=y_6^post_2, [ -x_5^0+y_6^0<=0 && -x_5^0+y_6^0<=0 && Result_4^0==Result_4^post_2 && __disjvr_0^0==__disjvr_0^post_2 && __disjvr_1^0==__disjvr_1^post_2 && __disjvr_2^0==__disjvr_2^post_2 && tmp_7^0==tmp_7^post_2 && x_5^0==x_5^post_2 && y_6^0==y_6^post_2 ], cost: 1 4: l1 -> l5 : Result_4^0'=Result_4^post_5, __disjvr_0^0'=__disjvr_0^post_5, __disjvr_1^0'=__disjvr_1^post_5, __disjvr_2^0'=__disjvr_2^post_5, tmp_7^0'=tmp_7^post_5, x_5^0'=x_5^post_5, y_6^0'=y_6^post_5, [ -x_5^0+y_6^0<=0 && -x_5^0+y_6^0<=0 && x_5^0<=y_6^0 && y_6^0<=x_5^0 && tmp_7^post_5==tmp_7^post_5 && tmp_7^post_5<=0 && 0<=tmp_7^post_5 && Result_4^0==Result_4^post_5 && __disjvr_0^0==__disjvr_0^post_5 && __disjvr_1^0==__disjvr_1^post_5 && __disjvr_2^0==__disjvr_2^post_5 && x_5^0==x_5^post_5 && y_6^0==y_6^post_5 ], cost: 1 6: l1 -> l7 : Result_4^0'=Result_4^post_7, __disjvr_0^0'=__disjvr_0^post_7, __disjvr_1^0'=__disjvr_1^post_7, __disjvr_2^0'=__disjvr_2^post_7, tmp_7^0'=tmp_7^post_7, x_5^0'=x_5^post_7, y_6^0'=y_6^post_7, [ -x_5^0+y_6^0<=0 && -x_5^0+y_6^0<=0 && x_5^0<=y_6^0 && y_6^0<=x_5^0 && tmp_7^post_7==tmp_7^post_7 && Result_4^0==Result_4^post_7 && __disjvr_0^0==__disjvr_0^post_7 && __disjvr_1^0==__disjvr_1^post_7 && __disjvr_2^0==__disjvr_2^post_7 && x_5^0==x_5^post_7 && y_6^0==y_6^post_7 ], cost: 1 10: l1 -> l9 : Result_4^0'=Result_4^post_11, __disjvr_0^0'=__disjvr_0^post_11, __disjvr_1^0'=__disjvr_1^post_11, __disjvr_2^0'=__disjvr_2^post_11, tmp_7^0'=tmp_7^post_11, x_5^0'=x_5^post_11, y_6^0'=y_6^post_11, [ 0<=-1-x_5^0+y_6^0 && tmp_7^post_11==tmp_7^post_11 && tmp_7^post_11<=0 && 0<=tmp_7^post_11 && Result_4^0==Result_4^post_11 && __disjvr_0^0==__disjvr_0^post_11 && __disjvr_1^0==__disjvr_1^post_11 && __disjvr_2^0==__disjvr_2^post_11 && x_5^0==x_5^post_11 && y_6^0==y_6^post_11 ], cost: 1 12: l1 -> l11 : Result_4^0'=Result_4^post_13, __disjvr_0^0'=__disjvr_0^post_13, __disjvr_1^0'=__disjvr_1^post_13, __disjvr_2^0'=__disjvr_2^post_13, tmp_7^0'=tmp_7^post_13, x_5^0'=x_5^post_13, y_6^0'=y_6^post_13, [ 0<=-1-x_5^0+y_6^0 && tmp_7^post_13==tmp_7^post_13 && Result_4^0==Result_4^post_13 && __disjvr_0^0==__disjvr_0^post_13 && __disjvr_1^0==__disjvr_1^post_13 && __disjvr_2^0==__disjvr_2^post_13 && x_5^0==x_5^post_13 && y_6^0==y_6^post_13 ], cost: 1 2: l3 -> l4 : Result_4^0'=Result_4^post_3, __disjvr_0^0'=__disjvr_0^post_3, __disjvr_1^0'=__disjvr_1^post_3, __disjvr_2^0'=__disjvr_2^post_3, tmp_7^0'=tmp_7^post_3, x_5^0'=x_5^post_3, y_6^0'=y_6^post_3, [ __disjvr_0^post_3==__disjvr_0^0 && Result_4^0==Result_4^post_3 && __disjvr_0^0==__disjvr_0^post_3 && __disjvr_1^0==__disjvr_1^post_3 && __disjvr_2^0==__disjvr_2^post_3 && tmp_7^0==tmp_7^post_3 && x_5^0==x_5^post_3 && y_6^0==y_6^post_3 ], cost: 1 3: l4 -> l2 : Result_4^0'=Result_4^post_4, __disjvr_0^0'=__disjvr_0^post_4, __disjvr_1^0'=__disjvr_1^post_4, __disjvr_2^0'=__disjvr_2^post_4, tmp_7^0'=tmp_7^post_4, x_5^0'=x_5^post_4, y_6^0'=y_6^post_4, [ Result_4^post_4==Result_4^post_4 && __disjvr_0^0==__disjvr_0^post_4 && __disjvr_1^0==__disjvr_1^post_4 && __disjvr_2^0==__disjvr_2^post_4 && tmp_7^0==tmp_7^post_4 && x_5^0==x_5^post_4 && y_6^0==y_6^post_4 ], cost: 1 5: l5 -> l1 : Result_4^0'=Result_4^post_6, __disjvr_0^0'=__disjvr_0^post_6, __disjvr_1^0'=__disjvr_1^post_6, __disjvr_2^0'=__disjvr_2^post_6, tmp_7^0'=tmp_7^post_6, x_5^0'=x_5^post_6, y_6^0'=y_6^post_6, [ Result_4^0==Result_4^post_6 && __disjvr_0^0==__disjvr_0^post_6 && __disjvr_1^0==__disjvr_1^post_6 && __disjvr_2^0==__disjvr_2^post_6 && tmp_7^0==tmp_7^post_6 && x_5^0==x_5^post_6 && y_6^0==y_6^post_6 ], cost: 1 7: l7 -> l8 : Result_4^0'=Result_4^post_8, __disjvr_0^0'=__disjvr_0^post_8, __disjvr_1^0'=__disjvr_1^post_8, __disjvr_2^0'=__disjvr_2^post_8, tmp_7^0'=tmp_7^post_8, x_5^0'=x_5^post_8, y_6^0'=y_6^post_8, [ __disjvr_1^post_8==__disjvr_1^0 && Result_4^0==Result_4^post_8 && __disjvr_0^0==__disjvr_0^post_8 && __disjvr_1^0==__disjvr_1^post_8 && __disjvr_2^0==__disjvr_2^post_8 && tmp_7^0==tmp_7^post_8 && x_5^0==x_5^post_8 && y_6^0==y_6^post_8 ], cost: 1 8: l8 -> l6 : Result_4^0'=Result_4^post_9, __disjvr_0^0'=__disjvr_0^post_9, __disjvr_1^0'=__disjvr_1^post_9, __disjvr_2^0'=__disjvr_2^post_9, tmp_7^0'=tmp_7^post_9, x_5^0'=x_5^post_9, y_6^0'=y_6^post_9, [ x_5^post_9==1+x_5^0 && Result_4^0==Result_4^post_9 && __disjvr_0^0==__disjvr_0^post_9 && __disjvr_1^0==__disjvr_1^post_9 && __disjvr_2^0==__disjvr_2^post_9 && tmp_7^0==tmp_7^post_9 && y_6^0==y_6^post_9 ], cost: 1 9: l6 -> l1 : Result_4^0'=Result_4^post_10, __disjvr_0^0'=__disjvr_0^post_10, __disjvr_1^0'=__disjvr_1^post_10, __disjvr_2^0'=__disjvr_2^post_10, tmp_7^0'=tmp_7^post_10, x_5^0'=x_5^post_10, y_6^0'=y_6^post_10, [ Result_4^0==Result_4^post_10 && __disjvr_0^0==__disjvr_0^post_10 && __disjvr_1^0==__disjvr_1^post_10 && __disjvr_2^0==__disjvr_2^post_10 && tmp_7^0==tmp_7^post_10 && x_5^0==x_5^post_10 && y_6^0==y_6^post_10 ], cost: 1 11: l9 -> l1 : Result_4^0'=Result_4^post_12, __disjvr_0^0'=__disjvr_0^post_12, __disjvr_1^0'=__disjvr_1^post_12, __disjvr_2^0'=__disjvr_2^post_12, tmp_7^0'=tmp_7^post_12, x_5^0'=x_5^post_12, y_6^0'=y_6^post_12, [ Result_4^0==Result_4^post_12 && __disjvr_0^0==__disjvr_0^post_12 && __disjvr_1^0==__disjvr_1^post_12 && __disjvr_2^0==__disjvr_2^post_12 && tmp_7^0==tmp_7^post_12 && x_5^0==x_5^post_12 && y_6^0==y_6^post_12 ], cost: 1 13: l11 -> l12 : Result_4^0'=Result_4^post_14, __disjvr_0^0'=__disjvr_0^post_14, __disjvr_1^0'=__disjvr_1^post_14, __disjvr_2^0'=__disjvr_2^post_14, tmp_7^0'=tmp_7^post_14, x_5^0'=x_5^post_14, y_6^0'=y_6^post_14, [ __disjvr_2^post_14==__disjvr_2^0 && Result_4^0==Result_4^post_14 && __disjvr_0^0==__disjvr_0^post_14 && __disjvr_1^0==__disjvr_1^post_14 && __disjvr_2^0==__disjvr_2^post_14 && tmp_7^0==tmp_7^post_14 && x_5^0==x_5^post_14 && y_6^0==y_6^post_14 ], cost: 1 14: l12 -> l10 : Result_4^0'=Result_4^post_15, __disjvr_0^0'=__disjvr_0^post_15, __disjvr_1^0'=__disjvr_1^post_15, __disjvr_2^0'=__disjvr_2^post_15, tmp_7^0'=tmp_7^post_15, x_5^0'=x_5^post_15, y_6^0'=y_6^post_15, [ x_5^post_15==1+x_5^0 && Result_4^0==Result_4^post_15 && __disjvr_0^0==__disjvr_0^post_15 && __disjvr_1^0==__disjvr_1^post_15 && __disjvr_2^0==__disjvr_2^post_15 && tmp_7^0==tmp_7^post_15 && y_6^0==y_6^post_15 ], cost: 1 15: l10 -> l1 : Result_4^0'=Result_4^post_16, __disjvr_0^0'=__disjvr_0^post_16, __disjvr_1^0'=__disjvr_1^post_16, __disjvr_2^0'=__disjvr_2^post_16, tmp_7^0'=tmp_7^post_16, x_5^0'=x_5^post_16, y_6^0'=y_6^post_16, [ Result_4^0==Result_4^post_16 && __disjvr_0^0==__disjvr_0^post_16 && __disjvr_1^0==__disjvr_1^post_16 && __disjvr_2^0==__disjvr_2^post_16 && tmp_7^0==tmp_7^post_16 && x_5^0==x_5^post_16 && y_6^0==y_6^post_16 ], cost: 1 16: l13 -> l0 : Result_4^0'=Result_4^post_17, __disjvr_0^0'=__disjvr_0^post_17, __disjvr_1^0'=__disjvr_1^post_17, __disjvr_2^0'=__disjvr_2^post_17, tmp_7^0'=tmp_7^post_17, x_5^0'=x_5^post_17, y_6^0'=y_6^post_17, [ Result_4^0==Result_4^post_17 && __disjvr_0^0==__disjvr_0^post_17 && __disjvr_1^0==__disjvr_1^post_17 && __disjvr_2^0==__disjvr_2^post_17 && tmp_7^0==tmp_7^post_17 && x_5^0==x_5^post_17 && y_6^0==y_6^post_17 ], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 16: l13 -> l0 : Result_4^0'=Result_4^post_17, __disjvr_0^0'=__disjvr_0^post_17, __disjvr_1^0'=__disjvr_1^post_17, __disjvr_2^0'=__disjvr_2^post_17, tmp_7^0'=tmp_7^post_17, x_5^0'=x_5^post_17, y_6^0'=y_6^post_17, [ Result_4^0==Result_4^post_17 && __disjvr_0^0==__disjvr_0^post_17 && __disjvr_1^0==__disjvr_1^post_17 && __disjvr_2^0==__disjvr_2^post_17 && tmp_7^0==tmp_7^post_17 && x_5^0==x_5^post_17 && y_6^0==y_6^post_17 ], cost: 1 Removed unreachable and leaf rules: Start location: l13 0: l0 -> l1 : Result_4^0'=Result_4^post_1, __disjvr_0^0'=__disjvr_0^post_1, __disjvr_1^0'=__disjvr_1^post_1, __disjvr_2^0'=__disjvr_2^post_1, tmp_7^0'=tmp_7^post_1, x_5^0'=x_5^post_1, y_6^0'=y_6^post_1, [ Result_4^0==Result_4^post_1 && __disjvr_0^0==__disjvr_0^post_1 && __disjvr_1^0==__disjvr_1^post_1 && __disjvr_2^0==__disjvr_2^post_1 && tmp_7^0==tmp_7^post_1 && x_5^0==x_5^post_1 && y_6^0==y_6^post_1 ], cost: 1 4: l1 -> l5 : Result_4^0'=Result_4^post_5, __disjvr_0^0'=__disjvr_0^post_5, __disjvr_1^0'=__disjvr_1^post_5, __disjvr_2^0'=__disjvr_2^post_5, tmp_7^0'=tmp_7^post_5, x_5^0'=x_5^post_5, y_6^0'=y_6^post_5, [ -x_5^0+y_6^0<=0 && -x_5^0+y_6^0<=0 && x_5^0<=y_6^0 && y_6^0<=x_5^0 && tmp_7^post_5==tmp_7^post_5 && tmp_7^post_5<=0 && 0<=tmp_7^post_5 && Result_4^0==Result_4^post_5 && __disjvr_0^0==__disjvr_0^post_5 && __disjvr_1^0==__disjvr_1^post_5 && __disjvr_2^0==__disjvr_2^post_5 && x_5^0==x_5^post_5 && y_6^0==y_6^post_5 ], cost: 1 6: l1 -> l7 : Result_4^0'=Result_4^post_7, __disjvr_0^0'=__disjvr_0^post_7, __disjvr_1^0'=__disjvr_1^post_7, __disjvr_2^0'=__disjvr_2^post_7, tmp_7^0'=tmp_7^post_7, x_5^0'=x_5^post_7, y_6^0'=y_6^post_7, [ -x_5^0+y_6^0<=0 && -x_5^0+y_6^0<=0 && x_5^0<=y_6^0 && y_6^0<=x_5^0 && tmp_7^post_7==tmp_7^post_7 && Result_4^0==Result_4^post_7 && __disjvr_0^0==__disjvr_0^post_7 && __disjvr_1^0==__disjvr_1^post_7 && __disjvr_2^0==__disjvr_2^post_7 && x_5^0==x_5^post_7 && y_6^0==y_6^post_7 ], cost: 1 10: l1 -> l9 : Result_4^0'=Result_4^post_11, __disjvr_0^0'=__disjvr_0^post_11, __disjvr_1^0'=__disjvr_1^post_11, __disjvr_2^0'=__disjvr_2^post_11, tmp_7^0'=tmp_7^post_11, x_5^0'=x_5^post_11, y_6^0'=y_6^post_11, [ 0<=-1-x_5^0+y_6^0 && tmp_7^post_11==tmp_7^post_11 && tmp_7^post_11<=0 && 0<=tmp_7^post_11 && Result_4^0==Result_4^post_11 && __disjvr_0^0==__disjvr_0^post_11 && __disjvr_1^0==__disjvr_1^post_11 && __disjvr_2^0==__disjvr_2^post_11 && x_5^0==x_5^post_11 && y_6^0==y_6^post_11 ], cost: 1 12: l1 -> l11 : Result_4^0'=Result_4^post_13, __disjvr_0^0'=__disjvr_0^post_13, __disjvr_1^0'=__disjvr_1^post_13, __disjvr_2^0'=__disjvr_2^post_13, tmp_7^0'=tmp_7^post_13, x_5^0'=x_5^post_13, y_6^0'=y_6^post_13, [ 0<=-1-x_5^0+y_6^0 && tmp_7^post_13==tmp_7^post_13 && Result_4^0==Result_4^post_13 && __disjvr_0^0==__disjvr_0^post_13 && __disjvr_1^0==__disjvr_1^post_13 && __disjvr_2^0==__disjvr_2^post_13 && x_5^0==x_5^post_13 && y_6^0==y_6^post_13 ], cost: 1 5: l5 -> l1 : Result_4^0'=Result_4^post_6, __disjvr_0^0'=__disjvr_0^post_6, __disjvr_1^0'=__disjvr_1^post_6, __disjvr_2^0'=__disjvr_2^post_6, tmp_7^0'=tmp_7^post_6, x_5^0'=x_5^post_6, y_6^0'=y_6^post_6, [ Result_4^0==Result_4^post_6 && __disjvr_0^0==__disjvr_0^post_6 && __disjvr_1^0==__disjvr_1^post_6 && __disjvr_2^0==__disjvr_2^post_6 && tmp_7^0==tmp_7^post_6 && x_5^0==x_5^post_6 && y_6^0==y_6^post_6 ], cost: 1 7: l7 -> l8 : Result_4^0'=Result_4^post_8, __disjvr_0^0'=__disjvr_0^post_8, __disjvr_1^0'=__disjvr_1^post_8, __disjvr_2^0'=__disjvr_2^post_8, tmp_7^0'=tmp_7^post_8, x_5^0'=x_5^post_8, y_6^0'=y_6^post_8, [ __disjvr_1^post_8==__disjvr_1^0 && Result_4^0==Result_4^post_8 && __disjvr_0^0==__disjvr_0^post_8 && __disjvr_1^0==__disjvr_1^post_8 && __disjvr_2^0==__disjvr_2^post_8 && tmp_7^0==tmp_7^post_8 && x_5^0==x_5^post_8 && y_6^0==y_6^post_8 ], cost: 1 8: l8 -> l6 : Result_4^0'=Result_4^post_9, __disjvr_0^0'=__disjvr_0^post_9, __disjvr_1^0'=__disjvr_1^post_9, __disjvr_2^0'=__disjvr_2^post_9, tmp_7^0'=tmp_7^post_9, x_5^0'=x_5^post_9, y_6^0'=y_6^post_9, [ x_5^post_9==1+x_5^0 && Result_4^0==Result_4^post_9 && __disjvr_0^0==__disjvr_0^post_9 && __disjvr_1^0==__disjvr_1^post_9 && __disjvr_2^0==__disjvr_2^post_9 && tmp_7^0==tmp_7^post_9 && y_6^0==y_6^post_9 ], cost: 1 9: l6 -> l1 : Result_4^0'=Result_4^post_10, __disjvr_0^0'=__disjvr_0^post_10, __disjvr_1^0'=__disjvr_1^post_10, __disjvr_2^0'=__disjvr_2^post_10, tmp_7^0'=tmp_7^post_10, x_5^0'=x_5^post_10, y_6^0'=y_6^post_10, [ Result_4^0==Result_4^post_10 && __disjvr_0^0==__disjvr_0^post_10 && __disjvr_1^0==__disjvr_1^post_10 && __disjvr_2^0==__disjvr_2^post_10 && tmp_7^0==tmp_7^post_10 && x_5^0==x_5^post_10 && y_6^0==y_6^post_10 ], cost: 1 11: l9 -> l1 : Result_4^0'=Result_4^post_12, __disjvr_0^0'=__disjvr_0^post_12, __disjvr_1^0'=__disjvr_1^post_12, __disjvr_2^0'=__disjvr_2^post_12, tmp_7^0'=tmp_7^post_12, x_5^0'=x_5^post_12, y_6^0'=y_6^post_12, [ Result_4^0==Result_4^post_12 && __disjvr_0^0==__disjvr_0^post_12 && __disjvr_1^0==__disjvr_1^post_12 && __disjvr_2^0==__disjvr_2^post_12 && tmp_7^0==tmp_7^post_12 && x_5^0==x_5^post_12 && y_6^0==y_6^post_12 ], cost: 1 13: l11 -> l12 : Result_4^0'=Result_4^post_14, __disjvr_0^0'=__disjvr_0^post_14, __disjvr_1^0'=__disjvr_1^post_14, __disjvr_2^0'=__disjvr_2^post_14, tmp_7^0'=tmp_7^post_14, x_5^0'=x_5^post_14, y_6^0'=y_6^post_14, [ __disjvr_2^post_14==__disjvr_2^0 && Result_4^0==Result_4^post_14 && __disjvr_0^0==__disjvr_0^post_14 && __disjvr_1^0==__disjvr_1^post_14 && __disjvr_2^0==__disjvr_2^post_14 && tmp_7^0==tmp_7^post_14 && x_5^0==x_5^post_14 && y_6^0==y_6^post_14 ], cost: 1 14: l12 -> l10 : Result_4^0'=Result_4^post_15, __disjvr_0^0'=__disjvr_0^post_15, __disjvr_1^0'=__disjvr_1^post_15, __disjvr_2^0'=__disjvr_2^post_15, tmp_7^0'=tmp_7^post_15, x_5^0'=x_5^post_15, y_6^0'=y_6^post_15, [ x_5^post_15==1+x_5^0 && Result_4^0==Result_4^post_15 && __disjvr_0^0==__disjvr_0^post_15 && __disjvr_1^0==__disjvr_1^post_15 && __disjvr_2^0==__disjvr_2^post_15 && tmp_7^0==tmp_7^post_15 && y_6^0==y_6^post_15 ], cost: 1 15: l10 -> l1 : Result_4^0'=Result_4^post_16, __disjvr_0^0'=__disjvr_0^post_16, __disjvr_1^0'=__disjvr_1^post_16, __disjvr_2^0'=__disjvr_2^post_16, tmp_7^0'=tmp_7^post_16, x_5^0'=x_5^post_16, y_6^0'=y_6^post_16, [ Result_4^0==Result_4^post_16 && __disjvr_0^0==__disjvr_0^post_16 && __disjvr_1^0==__disjvr_1^post_16 && __disjvr_2^0==__disjvr_2^post_16 && tmp_7^0==tmp_7^post_16 && x_5^0==x_5^post_16 && y_6^0==y_6^post_16 ], cost: 1 16: l13 -> l0 : Result_4^0'=Result_4^post_17, __disjvr_0^0'=__disjvr_0^post_17, __disjvr_1^0'=__disjvr_1^post_17, __disjvr_2^0'=__disjvr_2^post_17, tmp_7^0'=tmp_7^post_17, x_5^0'=x_5^post_17, y_6^0'=y_6^post_17, [ Result_4^0==Result_4^post_17 && __disjvr_0^0==__disjvr_0^post_17 && __disjvr_1^0==__disjvr_1^post_17 && __disjvr_2^0==__disjvr_2^post_17 && tmp_7^0==tmp_7^post_17 && x_5^0==x_5^post_17 && y_6^0==y_6^post_17 ], cost: 1 Simplified all rules, resulting in: Start location: l13 0: l0 -> l1 : [], cost: 1 4: l1 -> l5 : tmp_7^0'=0, [ -x_5^0+y_6^0==0 ], cost: 1 6: l1 -> l7 : tmp_7^0'=tmp_7^post_7, [ -x_5^0+y_6^0==0 ], cost: 1 10: l1 -> l9 : tmp_7^0'=0, [ 0<=-1-x_5^0+y_6^0 ], cost: 1 12: l1 -> l11 : tmp_7^0'=tmp_7^post_13, [ 0<=-1-x_5^0+y_6^0 ], cost: 1 5: l5 -> l1 : [], cost: 1 7: l7 -> l8 : [], cost: 1 8: l8 -> l6 : x_5^0'=1+x_5^0, [], cost: 1 9: l6 -> l1 : [], cost: 1 11: l9 -> l1 : [], cost: 1 13: l11 -> l12 : [], cost: 1 14: l12 -> l10 : x_5^0'=1+x_5^0, [], cost: 1 15: l10 -> l1 : [], cost: 1 16: l13 -> l0 : [], cost: 1 ### Simplification by acceleration and chaining ### Eliminated locations (on linear paths): Start location: l13 18: l1 -> l1 : tmp_7^0'=0, [ -x_5^0+y_6^0==0 ], cost: 2 20: l1 -> l1 : tmp_7^0'=0, [ 0<=-1-x_5^0+y_6^0 ], cost: 2 24: l1 -> l1 : tmp_7^0'=tmp_7^post_7, x_5^0'=1+x_5^0, [ -x_5^0+y_6^0==0 ], cost: 4 25: l1 -> l1 : tmp_7^0'=tmp_7^post_13, x_5^0'=1+x_5^0, [ 0<=-1-x_5^0+y_6^0 ], cost: 4 17: l13 -> l1 : [], cost: 2 Accelerating simple loops of location 1. Accelerating the following rules: 18: l1 -> l1 : tmp_7^0'=0, [ -x_5^0+y_6^0==0 ], cost: 2 20: l1 -> l1 : tmp_7^0'=0, [ 0<=-1-x_5^0+y_6^0 ], cost: 2 24: l1 -> l1 : tmp_7^0'=tmp_7^post_7, x_5^0'=1+x_5^0, [ -x_5^0+y_6^0==0 ], cost: 4 25: l1 -> l1 : tmp_7^0'=tmp_7^post_13, x_5^0'=1+x_5^0, [ 0<=-1-x_5^0+y_6^0 ], cost: 4 Accelerated rule 18 with non-termination, yielding the new rule 26. Accelerated rule 20 with non-termination, yielding the new rule 27. Failed to prove monotonicity of the guard of rule 24. Accelerated rule 25 with backward acceleration, yielding the new rule 28. [accelerate] Nesting with 2 inner and 2 outer candidates Removing the simple loops: 18 20 25. Accelerated all simple loops using metering functions (where possible): Start location: l13 24: l1 -> l1 : tmp_7^0'=tmp_7^post_7, x_5^0'=1+x_5^0, [ -x_5^0+y_6^0==0 ], cost: 4 26: l1 -> [14] : [ -x_5^0+y_6^0==0 ], cost: NONTERM 27: l1 -> [14] : [ 0<=-1-x_5^0+y_6^0 ], cost: NONTERM 28: l1 -> l1 : tmp_7^0'=tmp_7^post_13, x_5^0'=y_6^0, [ -x_5^0+y_6^0>=1 ], cost: -4*x_5^0+4*y_6^0 17: l13 -> l1 : [], cost: 2 Chained accelerated rules (with incoming rules): Start location: l13 17: l13 -> l1 : [], cost: 2 29: l13 -> l1 : tmp_7^0'=tmp_7^post_7, x_5^0'=1+x_5^0, [ -x_5^0+y_6^0==0 ], cost: 6 30: l13 -> [14] : [ -x_5^0+y_6^0==0 ], cost: NONTERM 31: l13 -> [14] : [ 0<=-1-x_5^0+y_6^0 ], cost: NONTERM 32: l13 -> l1 : tmp_7^0'=tmp_7^post_13, x_5^0'=y_6^0, [ -x_5^0+y_6^0>=1 ], cost: 2-4*x_5^0+4*y_6^0 Removed unreachable locations (and leaf rules with constant cost): Start location: l13 30: l13 -> [14] : [ -x_5^0+y_6^0==0 ], cost: NONTERM 31: l13 -> [14] : [ 0<=-1-x_5^0+y_6^0 ], cost: NONTERM 32: l13 -> l1 : tmp_7^0'=tmp_7^post_13, x_5^0'=y_6^0, [ -x_5^0+y_6^0>=1 ], cost: 2-4*x_5^0+4*y_6^0 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: l13 30: l13 -> [14] : [ -x_5^0+y_6^0==0 ], cost: NONTERM 31: l13 -> [14] : [ 0<=-1-x_5^0+y_6^0 ], cost: NONTERM 32: l13 -> l1 : tmp_7^0'=tmp_7^post_13, x_5^0'=y_6^0, [ -x_5^0+y_6^0>=1 ], cost: 2-4*x_5^0+4*y_6^0 Computing asymptotic complexity for rule 30 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: [ -x_5^0+y_6^0==0 ] NO