MAYBE Initial complexity problem: 1: T: (?, 1) f20(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f26(a, 1, d, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ 0 >= a + 1 ] (?, 1) f20(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f26(a, 1, d, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ a >= 1 ] (?, 1) f20(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f26(0, 1, 0, 0, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ d = 0 /\ a = 0 ] (?, 1) f20(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f26(0, 0, d, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ 0 >= d + 1 /\ a = 0 ] (?, 1) f20(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f26(0, 0, d, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ d >= 1 /\ a = 0 ] (?, 1) f26(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f69(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ c >= e ] (?, 1) f26(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f33(a, b, c, d, e, w, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f33(a, b, c, d, e, w, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f33(a, b, c, d, e, 0, 0, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ e >= c + 1 ] (?, 1) f33(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f39(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ h >= i ] (?, 1) f33(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f39(a, b, c, d, e, f, g, h, i, -1, k, l, m, n, o, p, q, r, s, t, u, v) [ i >= h + 1 /\ j + 1 = 0 ] (?, 1) f33(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f33(a, b, c, d, e, f, g, h + 1, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ i >= h + 1 /\ 0 >= j + 2 ] (?, 1) f33(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f33(a, b, c, d, e, f, g, h + 1, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ i >= h + 1 /\ j >= 0 ] (?, 1) f39(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f69(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ h >= i ] (?, 1) f39(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f47(a, b, c, d, e, f, g, h, i, j, 0, w, x, n, o, p, q, r, s, t, u, v) [ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f47(a, b, c, d, e, f, g, h, i, j, 0, w, x, n, o, p, q, r, s, t, u, v) [ i >= h + 1 /\ w >= 1 ] (?, 1) f47(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f50(a, b, c, d, e, f, g, h, i, j, k, l, 0, w, o, p, q, r, s, t, u, v) [ m = 0 ] (?, 1) f39(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f50(a, b, c, d, e, f, g, h, i, j, 0, 0, m, w, o, p, q, r, s, t, u, v) [ i >= h + 1 ] (?, 1) f50(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f69(a, b, c, d, e, f, g, h, i, j, k, l, m, n, 3, 1, w, r, s, t, u, v) [ n >= 0 /\ 0 >= w /\ o = 3 ] (?, 1) f50(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f69(a, b, c, d, e, f, g, h, i, j, k, l, m, n, 3, 1, w, r, s, t, u, v) [ n >= 0 /\ w >= 2 /\ o = 3 ] (?, 1) f50(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f59(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, w, s, t, u, v) [ n >= 0 /\ 2 >= o ] (?, 1) f50(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f59(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, w, s, t, u, v) [ n >= 0 /\ o >= 4 ] (?, 1) f50(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f59(a, b, c, d, e, f, g, h, i, j, k, l, m, n, 3, p, 1, w, s, t, u, v) [ n >= 0 /\ o = 3 ] (?, 1) f59(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f62(a, b, c, d, e, f, g, h, i, j, k, l, m, w, o, p, q, r, s, t, u, v) [ 10 >= r ] (?, 1) f59(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f62(a, b, c, d, e, f, g, h, i, j, k, l, m, w, o, p, q, 10, s, t, u, v) [ r >= 11 ] (?, 1) f26(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f26(a, b, c + 1, d, e, 0, w, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f26(a, b, c + 1, d, e, 0, w, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ w >= 1 /\ e >= c + 1 ] (?, 1) f39(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f26(a, b, c + 1, d, e, f, g, h, i, j, w, l, m, n, o, p, q, r, s, t, u, v) [ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f26(a, b, c + 1, d, e, f, g, h, i, j, w, l, m, n, o, p, q, r, s, t, u, v) [ i >= h + 1 /\ w >= 1 ] (?, 1) f47(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f26(a, b, c + 1, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ 0 >= m + 1 ] (?, 1) f47(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f26(a, b, c + 1, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ m >= 1 ] (?, 1) f50(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f26(a, b, c + 1, d, e, f, g, h, i, j, k, l, m, n, o, 1, q, r, s, t, u, v) [ 0 >= n + 1 ] (?, 1) f62(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f26(a, b, c + 1, d, e, f, g, h, i, j, k, l, m, n, o, 1, q, r, s, t, u, v) [ 0 >= n + 1 ] (?, 1) f62(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f26(a, b, c + 1, d, e, f, g, h, i, k, k, l, m, n, o, p, q, r, s + 1, t, u, v) [ n >= 0 ] (?, 1) f71(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f71(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) (?, 1) f69(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f71(0, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, 0, t, u, v) [ s = 0 ] (?, 1) f74(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f74(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) (?, 1) f73(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f74(0, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) (?, 1) f69(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f74(0, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ 0 >= s + 1 ] (?, 1) f69(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f74(0, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) [ s >= 1 ] (?, 1) f76(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f78(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) (1, 1) f0(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f20(z, b, c, x, w, f, g, 0, i, j, k, l, m, n, o, p, q, r, 0, 3, 1, y) [ x >= 0 /\ y >= 1 /\ t = 3 ] (1, 1) f0(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f20(z, b, c, x, w, f, g, 0, i, j, k, l, m, n, o, p, q, r, 0, t, 1, y) [ 2 >= t /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> f20(z, b, c, x, w, f, g, 0, i, j, k, l, m, n, o, p, q, r, 0, t, 1, y) [ t >= 4 /\ x >= 0 /\ y >= 1 ] start location: f0 leaf cost: 0 Slicing away variables that do not contribute to conditions from problem 1 leaves variables [a, c, d, e, h, i, j, k, m, n, o, r, s, t]. We thus obtain the following problem: 2: T: (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ t >= 4 /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ 2 >= t /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, 3) [ x >= 0 /\ y >= 1 /\ t = 3 ] (?, 1) f76(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f78(a, c, d, e, h, i, j, k, m, n, o, r, s, t) (?, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ s >= 1 ] (?, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= s + 1 ] (?, 1) f73(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) (?, 1) f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) (?, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(0, c, d, e, h, i, j, k, m, n, o, r, 0, t) [ s = 0 ] (?, 1) f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, k, k, m, n, o, r, s + 1, t) [ n >= 0 ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= n + 1 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= n + 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ m >= 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= m + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, 10, s, t) [ r >= 11 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, r, s, t) [ 10 >= r ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, 3, w, s, t) [ n >= 0 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ n >= 0 /\ o >= 4 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ n >= 0 /\ 2 >= o ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ n >= 0 /\ w >= 2 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ n >= 0 /\ 0 >= w /\ o = 3 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, 0, m, w, o, r, s, t) [ i >= h + 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, k, 0, w, o, r, s, t) [ m = 0 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= i ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ i >= h + 1 /\ j >= 0 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ i >= h + 1 /\ 0 >= j + 2 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, -1, k, m, n, o, r, s, t) [ i >= h + 1 /\ j + 1 = 0 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= i ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ c >= e ] (?, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, d, d, e, h, i, j, k, m, n, o, r, s, t) [ d >= 1 /\ a = 0 ] (?, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, d, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= d + 1 /\ a = 0 ] (?, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, 0, 0, e, h, i, j, k, m, n, o, r, s, t) [ d = 0 /\ a = 0 ] (?, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ a >= 1 ] (?, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= a + 1 ] start location: f0 leaf cost: 0 Repeatedly removing leaves of the complexity graph in problem 2 produces the following problem: 3: T: (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ t >= 4 /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ 2 >= t /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, 3) [ x >= 0 /\ y >= 1 /\ t = 3 ] (?, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ s >= 1 ] (?, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= s + 1 ] (?, 1) f73(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) (?, 1) f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) (?, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(0, c, d, e, h, i, j, k, m, n, o, r, 0, t) [ s = 0 ] (?, 1) f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, k, k, m, n, o, r, s + 1, t) [ n >= 0 ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= n + 1 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= n + 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ m >= 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= m + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, 10, s, t) [ r >= 11 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, r, s, t) [ 10 >= r ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, 3, w, s, t) [ n >= 0 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ n >= 0 /\ o >= 4 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ n >= 0 /\ 2 >= o ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ n >= 0 /\ w >= 2 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ n >= 0 /\ 0 >= w /\ o = 3 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, 0, m, w, o, r, s, t) [ i >= h + 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, k, 0, w, o, r, s, t) [ m = 0 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= i ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ i >= h + 1 /\ j >= 0 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ i >= h + 1 /\ 0 >= j + 2 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, -1, k, m, n, o, r, s, t) [ i >= h + 1 /\ j + 1 = 0 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= i ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ c >= e ] (?, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, d, d, e, h, i, j, k, m, n, o, r, s, t) [ d >= 1 /\ a = 0 ] (?, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, d, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= d + 1 /\ a = 0 ] (?, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, 0, 0, e, h, i, j, k, m, n, o, r, s, t) [ d = 0 /\ a = 0 ] (?, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ a >= 1 ] (?, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= a + 1 ] start location: f0 leaf cost: 1 Testing for reachability in the complexity graph removes the following transitions from problem 3: f73(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, d, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= d + 1 /\ a = 0 ] We thus obtain the following problem: 4: T: (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= n + 1 ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, k, k, m, n, o, r, s + 1, t) [ n >= 0 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, r, s, t) [ 10 >= r ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, 10, s, t) [ r >= 11 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, k, 0, w, o, r, s, t) [ m = 0 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= m + 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ m >= 1 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ n >= 0 /\ 0 >= w /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ n >= 0 /\ w >= 2 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ n >= 0 /\ 2 >= o ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ n >= 0 /\ o >= 4 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, 3, w, s, t) [ n >= 0 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= n + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= i ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, 0, m, w, o, r, s, t) [ i >= h + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ i >= h + 1 /\ w >= 1 ] (?, 1) f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) (?, 1) f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) (?, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(0, c, d, e, h, i, j, k, m, n, o, r, 0, t) [ s = 0 ] (?, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= s + 1 ] (?, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ s >= 1 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= i ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, -1, k, m, n, o, r, s, t) [ i >= h + 1 /\ j + 1 = 0 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ i >= h + 1 /\ 0 >= j + 2 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ i >= h + 1 /\ j >= 0 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ c >= e ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ w >= 1 /\ e >= c + 1 ] (?, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= a + 1 ] (?, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ a >= 1 ] (?, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, 0, 0, e, h, i, j, k, m, n, o, r, s, t) [ d = 0 /\ a = 0 ] (?, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, d, d, e, h, i, j, k, m, n, o, r, s, t) [ d >= 1 /\ a = 0 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, 3) [ x >= 0 /\ y >= 1 /\ t = 3 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ 2 >= t /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ t >= 4 /\ x >= 0 /\ y >= 1 ] start location: f0 leaf cost: 1 Repeatedly propagating knowledge in problem 4 produces the following problem: 5: T: (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= n + 1 ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, k, k, m, n, o, r, s + 1, t) [ n >= 0 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, r, s, t) [ 10 >= r ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, 10, s, t) [ r >= 11 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, k, 0, w, o, r, s, t) [ m = 0 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= m + 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ m >= 1 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ n >= 0 /\ 0 >= w /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ n >= 0 /\ w >= 2 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ n >= 0 /\ 2 >= o ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ n >= 0 /\ o >= 4 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, 3, w, s, t) [ n >= 0 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= n + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= i ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, 0, m, w, o, r, s, t) [ i >= h + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ i >= h + 1 /\ w >= 1 ] (?, 1) f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) (?, 1) f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) (?, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(0, c, d, e, h, i, j, k, m, n, o, r, 0, t) [ s = 0 ] (?, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= s + 1 ] (?, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ s >= 1 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= i ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, -1, k, m, n, o, r, s, t) [ i >= h + 1 /\ j + 1 = 0 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ i >= h + 1 /\ 0 >= j + 2 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ i >= h + 1 /\ j >= 0 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ c >= e ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ w >= 1 /\ e >= c + 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= a + 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ a >= 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, 0, 0, e, h, i, j, k, m, n, o, r, s, t) [ d = 0 /\ a = 0 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, d, d, e, h, i, j, k, m, n, o, r, s, t) [ d >= 1 /\ a = 0 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, 3) [ x >= 0 /\ y >= 1 /\ t = 3 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ 2 >= t /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ t >= 4 /\ x >= 0 /\ y >= 1 ] start location: f0 leaf cost: 1 A polynomial rank function with Pol(f62) = 2 Pol(f26) = 2 Pol(f59) = 2 Pol(f47) = 2 Pol(f50) = 2 Pol(f69) = 1 Pol(f39) = 2 Pol(f71) = 0 Pol(f74) = 0 Pol(f33) = 2 Pol(f20) = 2 Pol(f0) = 2 orients all transitions weakly and the transitions f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ s >= 1 ] f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= s + 1 ] f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(0, c, d, e, h, i, j, k, m, n, o, r, 0, t) [ s = 0 ] f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ n >= 0 /\ w >= 2 /\ o = 3 ] f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ n >= 0 /\ 0 >= w /\ o = 3 ] f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= i ] f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ c >= e ] strictly and produces the following problem: 6: T: (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= n + 1 ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, k, k, m, n, o, r, s + 1, t) [ n >= 0 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, r, s, t) [ 10 >= r ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, 10, s, t) [ r >= 11 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, k, 0, w, o, r, s, t) [ m = 0 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= m + 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ m >= 1 ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ n >= 0 /\ 0 >= w /\ o = 3 ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ n >= 0 /\ w >= 2 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ n >= 0 /\ 2 >= o ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ n >= 0 /\ o >= 4 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, 3, w, s, t) [ n >= 0 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= n + 1 ] (2, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= i ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, 0, m, w, o, r, s, t) [ i >= h + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ i >= h + 1 /\ w >= 1 ] (?, 1) f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) (?, 1) f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(0, c, d, e, h, i, j, k, m, n, o, r, 0, t) [ s = 0 ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= s + 1 ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ s >= 1 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= i ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, -1, k, m, n, o, r, s, t) [ i >= h + 1 /\ j + 1 = 0 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ i >= h + 1 /\ 0 >= j + 2 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ i >= h + 1 /\ j >= 0 ] (2, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ c >= e ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ w >= 1 /\ e >= c + 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= a + 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ a >= 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, 0, 0, e, h, i, j, k, m, n, o, r, s, t) [ d = 0 /\ a = 0 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, d, d, e, h, i, j, k, m, n, o, r, s, t) [ d >= 1 /\ a = 0 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, 3) [ x >= 0 /\ y >= 1 /\ t = 3 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ 2 >= t /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ t >= 4 /\ x >= 0 /\ y >= 1 ] start location: f0 leaf cost: 1 A polynomial rank function with Pol(f62) = -3*V_5 + 3*V_6 - 2 Pol(f26) = -3*V_5 + 3*V_6 - 2 Pol(f59) = -3*V_5 + 3*V_6 - 2 Pol(f47) = -3*V_5 + 3*V_6 - 2 Pol(f50) = -3*V_5 + 3*V_6 - 2 Pol(f69) = -3*V_5 + 3*V_6 - 2 Pol(f39) = -3*V_5 + 3*V_6 - 2 Pol(f71) = -3*V_5 + 3*V_6 - 2 Pol(f74) = -3*V_5 + 3*V_6 - 2 Pol(f33) = -3*V_5 + 3*V_6 - 2 Pol(f20) = -3*V_5 + 3*V_6 - 2 Pol(f0) = 3*V_6 - 2 orients all transitions weakly and the transitions f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ i >= h + 1 /\ j >= 0 ] f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ i >= h + 1 /\ 0 >= j + 2 ] strictly and produces the following problem: 7: T: (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= n + 1 ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, k, k, m, n, o, r, s + 1, t) [ n >= 0 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, r, s, t) [ 10 >= r ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, 10, s, t) [ r >= 11 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, k, 0, w, o, r, s, t) [ m = 0 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= m + 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ m >= 1 ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ n >= 0 /\ 0 >= w /\ o = 3 ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ n >= 0 /\ w >= 2 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ n >= 0 /\ 2 >= o ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ n >= 0 /\ o >= 4 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, 3, w, s, t) [ n >= 0 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= n + 1 ] (2, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= i ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, 0, m, w, o, r, s, t) [ i >= h + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ i >= h + 1 /\ w >= 1 ] (?, 1) f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) (?, 1) f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(0, c, d, e, h, i, j, k, m, n, o, r, 0, t) [ s = 0 ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= s + 1 ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ s >= 1 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= i ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, -1, k, m, n, o, r, s, t) [ i >= h + 1 /\ j + 1 = 0 ] (3*i + 2, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ i >= h + 1 /\ 0 >= j + 2 ] (3*i + 2, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ i >= h + 1 /\ j >= 0 ] (2, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ c >= e ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ w >= 1 /\ e >= c + 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ 0 >= a + 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ a >= 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, 0, 0, e, h, i, j, k, m, n, o, r, s, t) [ d = 0 /\ a = 0 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, d, d, e, h, i, j, k, m, n, o, r, s, t) [ d >= 1 /\ a = 0 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, 3) [ x >= 0 /\ y >= 1 /\ t = 3 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ 2 >= t /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ t >= 4 /\ x >= 0 /\ y >= 1 ] start location: f0 leaf cost: 1 Applied AI with 'oct' on problem 7 to obtain the following invariants: For symbol f20: -X_5 >= 0 /\ X_3 - X_5 >= 0 /\ X_13 - X_5 >= 0 /\ -X_13 - X_5 >= 0 /\ X_5 >= 0 /\ X_3 + X_5 >= 0 /\ X_13 + X_5 >= 0 /\ -X_13 + X_5 >= 0 /\ X_3 >= 0 /\ X_13 + X_3 >= 0 /\ -X_13 + X_3 >= 0 /\ -X_13 >= 0 /\ X_13 >= 0 For symbol f26: X_5 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ X_13 + X_5 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_13 + X_3 >= 0 /\ X_2 >= 0 /\ X_13 + X_2 >= 0 /\ -X_13 + X_2 >= 0 /\ X_13 >= 0 For symbol f33: X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ X_13 + X_5 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ -X_2 + X_4 - 1 >= 0 /\ X_13 + X_4 - 1 >= 0 /\ -X_13 + X_4 - 1 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_13 + X_3 >= 0 /\ X_2 >= 0 /\ X_13 + X_2 >= 0 /\ -X_13 + X_2 >= 0 /\ X_13 >= 0 For symbol f39: X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ X_13 + X_5 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ -X_2 + X_4 - 1 >= 0 /\ X_13 + X_4 - 1 >= 0 /\ -X_13 + X_4 - 1 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_13 + X_3 >= 0 /\ X_2 >= 0 /\ X_13 + X_2 >= 0 /\ -X_13 + X_2 >= 0 /\ X_13 >= 0 For symbol f47: -X_8 >= 0 /\ X_6 - X_8 - 1 >= 0 /\ X_5 - X_8 >= 0 /\ X_4 - X_8 - 1 >= 0 /\ X_3 - X_8 >= 0 /\ X_2 - X_8 >= 0 /\ X_13 - X_8 >= 0 /\ X_8 >= 0 /\ X_6 + X_8 - 1 >= 0 /\ X_5 + X_8 >= 0 /\ X_4 + X_8 - 1 >= 0 /\ X_3 + X_8 >= 0 /\ X_2 + X_8 >= 0 /\ X_13 + X_8 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 2 >= 0 /\ X_3 + X_6 - 1 >= 0 /\ X_2 + X_6 - 1 >= 0 /\ X_13 + X_6 - 1 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ X_13 + X_5 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ -X_2 + X_4 - 1 >= 0 /\ X_13 + X_4 - 1 >= 0 /\ -X_13 + X_4 - 1 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_13 + X_3 >= 0 /\ X_2 >= 0 /\ X_13 + X_2 >= 0 /\ -X_13 + X_2 >= 0 /\ X_13 >= 0 For symbol f50: -X_8 >= 0 /\ X_6 - X_8 - 1 >= 0 /\ X_5 - X_8 >= 0 /\ X_4 - X_8 - 1 >= 0 /\ X_3 - X_8 >= 0 /\ X_2 - X_8 >= 0 /\ X_13 - X_8 >= 0 /\ X_8 >= 0 /\ X_6 + X_8 - 1 >= 0 /\ X_5 + X_8 >= 0 /\ X_4 + X_8 - 1 >= 0 /\ X_3 + X_8 >= 0 /\ X_2 + X_8 >= 0 /\ X_13 + X_8 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 2 >= 0 /\ X_3 + X_6 - 1 >= 0 /\ X_2 + X_6 - 1 >= 0 /\ X_13 + X_6 - 1 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ X_13 + X_5 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ -X_2 + X_4 - 1 >= 0 /\ X_13 + X_4 - 1 >= 0 /\ -X_13 + X_4 - 1 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_13 + X_3 >= 0 /\ X_2 >= 0 /\ X_13 + X_2 >= 0 /\ -X_13 + X_2 >= 0 /\ X_13 >= 0 For symbol f59: -X_8 >= 0 /\ X_6 - X_8 - 1 >= 0 /\ X_5 - X_8 >= 0 /\ X_4 - X_8 - 1 >= 0 /\ X_3 - X_8 >= 0 /\ X_2 - X_8 >= 0 /\ X_13 - X_8 >= 0 /\ X_10 - X_8 >= 0 /\ X_8 >= 0 /\ X_6 + X_8 - 1 >= 0 /\ X_5 + X_8 >= 0 /\ X_4 + X_8 - 1 >= 0 /\ X_3 + X_8 >= 0 /\ X_2 + X_8 >= 0 /\ X_13 + X_8 >= 0 /\ X_10 + X_8 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 2 >= 0 /\ X_3 + X_6 - 1 >= 0 /\ X_2 + X_6 - 1 >= 0 /\ X_13 + X_6 - 1 >= 0 /\ X_10 + X_6 - 1 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ X_13 + X_5 >= 0 /\ X_10 + X_5 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ -X_2 + X_4 - 1 >= 0 /\ X_13 + X_4 - 1 >= 0 /\ -X_13 + X_4 - 1 >= 0 /\ X_10 + X_4 - 1 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_13 + X_3 >= 0 /\ X_10 + X_3 >= 0 /\ X_2 >= 0 /\ X_13 + X_2 >= 0 /\ -X_13 + X_2 >= 0 /\ X_10 + X_2 >= 0 /\ X_13 >= 0 /\ X_10 + X_13 >= 0 /\ X_10 >= 0 For symbol f62: -X_8 >= 0 /\ X_6 - X_8 - 1 >= 0 /\ X_5 - X_8 >= 0 /\ X_4 - X_8 - 1 >= 0 /\ X_3 - X_8 >= 0 /\ X_2 - X_8 >= 0 /\ X_13 - X_8 >= 0 /\ -X_12 - X_8 + 10 >= 0 /\ X_8 >= 0 /\ X_6 + X_8 - 1 >= 0 /\ X_5 + X_8 >= 0 /\ X_4 + X_8 - 1 >= 0 /\ X_3 + X_8 >= 0 /\ X_2 + X_8 >= 0 /\ X_13 + X_8 >= 0 /\ -X_12 + X_8 + 10 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 2 >= 0 /\ X_3 + X_6 - 1 >= 0 /\ X_2 + X_6 - 1 >= 0 /\ X_13 + X_6 - 1 >= 0 /\ -X_12 + X_6 + 9 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ X_13 + X_5 >= 0 /\ -X_12 + X_5 + 10 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ -X_2 + X_4 - 1 >= 0 /\ X_13 + X_4 - 1 >= 0 /\ -X_13 + X_4 - 1 >= 0 /\ -X_12 + X_4 + 9 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_13 + X_3 >= 0 /\ -X_12 + X_3 + 10 >= 0 /\ X_2 >= 0 /\ X_13 + X_2 >= 0 /\ -X_13 + X_2 >= 0 /\ -X_12 + X_2 + 10 >= 0 /\ X_13 >= 0 /\ -X_12 + X_13 + 10 >= 0 /\ -X_12 + 10 >= 0 For symbol f69: X_5 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ X_13 + X_5 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_13 + X_3 >= 0 /\ X_2 >= 0 /\ X_13 + X_2 >= 0 /\ -X_13 + X_2 >= 0 /\ X_13 >= 0 For symbol f71: X_5 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ X_13 + X_5 >= 0 /\ -X_13 + X_5 >= 0 /\ X_1 + X_5 >= 0 /\ -X_1 + X_5 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_13 + X_3 >= 0 /\ -X_13 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ X_2 >= 0 /\ X_13 + X_2 >= 0 /\ -X_13 + X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ -X_13 >= 0 /\ X_1 - X_13 >= 0 /\ -X_1 - X_13 >= 0 /\ X_13 >= 0 /\ X_1 + X_13 >= 0 /\ -X_1 + X_13 >= 0 /\ -X_1 >= 0 /\ X_1 >= 0 For symbol f74: X_5 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ X_13 + X_5 - 1 >= 0 /\ X_1 + X_5 >= 0 /\ -X_1 + X_5 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_13 + X_3 - 1 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_13 + X_2 - 2 >= 0 /\ -X_13 + X_2 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_13 - 1 >= 0 /\ X_1 + X_13 - 1 >= 0 /\ -X_1 + X_13 - 1 >= 0 /\ -X_1 >= 0 /\ X_1 >= 0 This yielded the following problem: 8: T: (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ t >= 4 /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ 2 >= t /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, 3) [ x >= 0 /\ y >= 1 /\ t = 3 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ d >= 1 /\ a = 0 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, 0, 0, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ d = 0 /\ a = 0 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ a >= 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ 0 >= a + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= w + 1 /\ e >= c + 1 ] (2, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ c >= e ] (3*i + 2, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ j >= 0 ] (3*i + 2, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= j + 2 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, -1, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ j + 1 = 0 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ h >= i ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ s >= 1 ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= s + 1 ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(0, c, d, e, h, i, j, k, m, n, o, r, 0, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ s = 0 ] (?, 1) f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h - 1 >= 0 /\ s + h - 1 >= 0 /\ a + h >= 0 /\ -a + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d - 1 >= 0 /\ s + d - 1 >= 0 /\ a + d >= 0 /\ -a + d >= 0 /\ c - 1 >= 0 /\ s + c - 2 >= 0 /\ -s + c >= 0 /\ a + c - 1 >= 0 /\ -a + c - 1 >= 0 /\ s - 1 >= 0 /\ a + s - 1 >= 0 /\ -a + s - 1 >= 0 /\ -a >= 0 /\ a >= 0 ] (?, 1) f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ a + h >= 0 /\ -a + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ a + d >= 0 /\ -a + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ a + c >= 0 /\ -a + c >= 0 /\ -s >= 0 /\ a - s >= 0 /\ -a - s >= 0 /\ s >= 0 /\ a + s >= 0 /\ -a + s >= 0 /\ -a >= 0 /\ a >= 0 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, 0, m, w, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= w + 1 ] (2, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ h >= i ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= n + 1 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, 3, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ o >= 4 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ 2 >= o ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ w >= 2 /\ o = 3 ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ 0 >= w /\ o = 3 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ m >= 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= m + 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, k, 0, w, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ m = 0 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, 10, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ n - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ n + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ n + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ n + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ n + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ n + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ n + c >= 0 /\ s >= 0 /\ n + s >= 0 /\ n >= 0 /\ r >= 11 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ n - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ n + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ n + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ n + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ n + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ n + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ n + c >= 0 /\ s >= 0 /\ n + s >= 0 /\ n >= 0 /\ 10 >= r ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, k, k, m, n, o, r, s + 1, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ -r - k + 10 >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ -r + k + 10 >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ -r + i + 9 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -r + h + 10 >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ -r + e + 9 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -r + d + 10 >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ -r + c + 10 >= 0 /\ s >= 0 /\ -r + s + 10 >= 0 /\ -r + 10 >= 0 /\ n >= 0 ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ -r - k + 10 >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ -r + k + 10 >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ -r + i + 9 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -r + h + 10 >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ -r + e + 9 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -r + d + 10 >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ -r + c + 10 >= 0 /\ s >= 0 /\ -r + s + 10 >= 0 /\ -r + 10 >= 0 /\ 0 >= n + 1 ] start location: f0 leaf cost: 1 Testing for unsatisfiable constraints removes the following transition from problem 8: f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= s + 1 ] We thus obtain the following problem: 9: T: (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ t >= 4 /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ 2 >= t /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, 3) [ x >= 0 /\ y >= 1 /\ t = 3 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ d >= 1 /\ a = 0 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, 0, 0, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ d = 0 /\ a = 0 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ a >= 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ 0 >= a + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= w + 1 /\ e >= c + 1 ] (2, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ c >= e ] (3*i + 2, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ j >= 0 ] (3*i + 2, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= j + 2 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, -1, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ j + 1 = 0 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ h >= i ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ s >= 1 ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(0, c, d, e, h, i, j, k, m, n, o, r, 0, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ s = 0 ] (?, 1) f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h - 1 >= 0 /\ s + h - 1 >= 0 /\ a + h >= 0 /\ -a + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d - 1 >= 0 /\ s + d - 1 >= 0 /\ a + d >= 0 /\ -a + d >= 0 /\ c - 1 >= 0 /\ s + c - 2 >= 0 /\ -s + c >= 0 /\ a + c - 1 >= 0 /\ -a + c - 1 >= 0 /\ s - 1 >= 0 /\ a + s - 1 >= 0 /\ -a + s - 1 >= 0 /\ -a >= 0 /\ a >= 0 ] (?, 1) f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ a + h >= 0 /\ -a + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ a + d >= 0 /\ -a + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ a + c >= 0 /\ -a + c >= 0 /\ -s >= 0 /\ a - s >= 0 /\ -a - s >= 0 /\ s >= 0 /\ a + s >= 0 /\ -a + s >= 0 /\ -a >= 0 /\ a >= 0 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, 0, m, w, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= w + 1 ] (2, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ h >= i ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= n + 1 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, 3, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ o >= 4 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ 2 >= o ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ w >= 2 /\ o = 3 ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ 0 >= w /\ o = 3 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ m >= 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= m + 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, k, 0, w, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ m = 0 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, 10, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ n - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ n + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ n + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ n + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ n + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ n + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ n + c >= 0 /\ s >= 0 /\ n + s >= 0 /\ n >= 0 /\ r >= 11 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ n - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ n + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ n + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ n + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ n + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ n + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ n + c >= 0 /\ s >= 0 /\ n + s >= 0 /\ n >= 0 /\ 10 >= r ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, k, k, m, n, o, r, s + 1, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ -r - k + 10 >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ -r + k + 10 >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ -r + i + 9 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -r + h + 10 >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ -r + e + 9 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -r + d + 10 >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ -r + c + 10 >= 0 /\ s >= 0 /\ -r + s + 10 >= 0 /\ -r + 10 >= 0 /\ n >= 0 ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ -r - k + 10 >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ -r + k + 10 >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ -r + i + 9 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -r + h + 10 >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ -r + e + 9 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -r + d + 10 >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ -r + c + 10 >= 0 /\ s >= 0 /\ -r + s + 10 >= 0 /\ -r + 10 >= 0 /\ 0 >= n + 1 ] start location: f0 leaf cost: 1 By chaining the transition f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ h >= i ] with all transitions in problem 9, the following new transition is obtained: f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ h >= i ] We thus obtain the following problem: 10: T: (?, 2) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ h >= i ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ t >= 4 /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ 2 >= t /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, 3) [ x >= 0 /\ y >= 1 /\ t = 3 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ d >= 1 /\ a = 0 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, 0, 0, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ d = 0 /\ a = 0 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ a >= 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ 0 >= a + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= w + 1 /\ e >= c + 1 ] (2, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ c >= e ] (3*i + 2, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ j >= 0 ] (3*i + 2, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= j + 2 ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, -1, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ j + 1 = 0 ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ s >= 1 ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(0, c, d, e, h, i, j, k, m, n, o, r, 0, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ s = 0 ] (?, 1) f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h - 1 >= 0 /\ s + h - 1 >= 0 /\ a + h >= 0 /\ -a + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d - 1 >= 0 /\ s + d - 1 >= 0 /\ a + d >= 0 /\ -a + d >= 0 /\ c - 1 >= 0 /\ s + c - 2 >= 0 /\ -s + c >= 0 /\ a + c - 1 >= 0 /\ -a + c - 1 >= 0 /\ s - 1 >= 0 /\ a + s - 1 >= 0 /\ -a + s - 1 >= 0 /\ -a >= 0 /\ a >= 0 ] (?, 1) f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ a + h >= 0 /\ -a + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ a + d >= 0 /\ -a + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ a + c >= 0 /\ -a + c >= 0 /\ -s >= 0 /\ a - s >= 0 /\ -a - s >= 0 /\ s >= 0 /\ a + s >= 0 /\ -a + s >= 0 /\ -a >= 0 /\ a >= 0 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, 0, m, w, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= w + 1 ] (2, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ h >= i ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= n + 1 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, 3, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ o >= 4 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ 2 >= o ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ w >= 2 /\ o = 3 ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ 0 >= w /\ o = 3 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ m >= 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= m + 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, k, 0, w, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ m = 0 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, 10, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ n - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ n + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ n + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ n + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ n + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ n + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ n + c >= 0 /\ s >= 0 /\ n + s >= 0 /\ n >= 0 /\ r >= 11 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ n - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ n + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ n + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ n + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ n + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ n + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ n + c >= 0 /\ s >= 0 /\ n + s >= 0 /\ n >= 0 /\ 10 >= r ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, k, k, m, n, o, r, s + 1, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ -r - k + 10 >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ -r + k + 10 >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ -r + i + 9 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -r + h + 10 >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ -r + e + 9 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -r + d + 10 >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ -r + c + 10 >= 0 /\ s >= 0 /\ -r + s + 10 >= 0 /\ -r + 10 >= 0 /\ n >= 0 ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ -r - k + 10 >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ -r + k + 10 >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ -r + i + 9 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -r + h + 10 >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ -r + e + 9 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -r + d + 10 >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ -r + c + 10 >= 0 /\ s >= 0 /\ -r + s + 10 >= 0 /\ -r + 10 >= 0 /\ 0 >= n + 1 ] start location: f0 leaf cost: 1 Testing for reachability in the complexity graph removes the following transition from problem 10: f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ h >= i ] We thus obtain the following problem: 11: T: (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ -r - k + 10 >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ -r + k + 10 >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ -r + i + 9 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -r + h + 10 >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ -r + e + 9 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -r + d + 10 >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ -r + c + 10 >= 0 /\ s >= 0 /\ -r + s + 10 >= 0 /\ -r + 10 >= 0 /\ 0 >= n + 1 ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, k, k, m, n, o, r, s + 1, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ -r - k + 10 >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ -r + k + 10 >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ -r + i + 9 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -r + h + 10 >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ -r + e + 9 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -r + d + 10 >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ -r + c + 10 >= 0 /\ s >= 0 /\ -r + s + 10 >= 0 /\ -r + 10 >= 0 /\ n >= 0 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ n - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ n + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ n + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ n + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ n + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ n + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ n + c >= 0 /\ s >= 0 /\ n + s >= 0 /\ n >= 0 /\ 10 >= r ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, 10, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ n - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ n + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ n + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ n + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ n + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ n + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ n + c >= 0 /\ s >= 0 /\ n + s >= 0 /\ n >= 0 /\ r >= 11 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, k, 0, w, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ m = 0 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= m + 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ m >= 1 ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ 0 >= w /\ o = 3 ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ w >= 2 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ 2 >= o ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ o >= 4 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, 3, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= n + 1 ] (?, 1) f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ a + h >= 0 /\ -a + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ a + d >= 0 /\ -a + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ a + c >= 0 /\ -a + c >= 0 /\ -s >= 0 /\ a - s >= 0 /\ -a - s >= 0 /\ s >= 0 /\ a + s >= 0 /\ -a + s >= 0 /\ -a >= 0 /\ a >= 0 ] (?, 1) f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h - 1 >= 0 /\ s + h - 1 >= 0 /\ a + h >= 0 /\ -a + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d - 1 >= 0 /\ s + d - 1 >= 0 /\ a + d >= 0 /\ -a + d >= 0 /\ c - 1 >= 0 /\ s + c - 2 >= 0 /\ -s + c >= 0 /\ a + c - 1 >= 0 /\ -a + c - 1 >= 0 /\ s - 1 >= 0 /\ a + s - 1 >= 0 /\ -a + s - 1 >= 0 /\ -a >= 0 /\ a >= 0 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, 0, m, w, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ w >= 1 ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(0, c, d, e, h, i, j, k, m, n, o, r, 0, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ s = 0 ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ s >= 1 ] (?, 2) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ h >= i ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, -1, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ j + 1 = 0 ] (3*i + 2, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= j + 2 ] (3*i + 2, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ j >= 0 ] (2, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ c >= e ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ w >= 1 /\ e >= c + 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ 0 >= a + 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ a >= 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, 0, 0, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ d = 0 /\ a = 0 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ d >= 1 /\ a = 0 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, 3) [ x >= 0 /\ y >= 1 /\ t = 3 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ 2 >= t /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ t >= 4 /\ x >= 0 /\ y >= 1 ] start location: f0 leaf cost: 1 A polynomial rank function with Pol(f62) = 1 Pol(f26) = 1 Pol(f59) = 1 Pol(f47) = 1 Pol(f50) = 1 Pol(f69) = 0 Pol(f71) = 0 Pol(f74) = 0 Pol(f39) = 1 Pol(f33) = 1 Pol(f20) = 1 Pol(f0) = 1 orients all transitions weakly and the transition f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ h >= i ] strictly and produces the following problem: 12: T: (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ -r - k + 10 >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ -r + k + 10 >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ -r + i + 9 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -r + h + 10 >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ -r + e + 9 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -r + d + 10 >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ -r + c + 10 >= 0 /\ s >= 0 /\ -r + s + 10 >= 0 /\ -r + 10 >= 0 /\ 0 >= n + 1 ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, k, k, m, n, o, r, s + 1, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ -r - k + 10 >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ -r + k + 10 >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ -r + i + 9 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -r + h + 10 >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ -r + e + 9 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -r + d + 10 >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ -r + c + 10 >= 0 /\ s >= 0 /\ -r + s + 10 >= 0 /\ -r + 10 >= 0 /\ n >= 0 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ n - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ n + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ n + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ n + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ n + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ n + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ n + c >= 0 /\ s >= 0 /\ n + s >= 0 /\ n >= 0 /\ 10 >= r ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, 10, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ n - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ n + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ n + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ n + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ n + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ n + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ n + c >= 0 /\ s >= 0 /\ n + s >= 0 /\ n >= 0 /\ r >= 11 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, k, 0, w, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ m = 0 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= m + 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ m >= 1 ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ 0 >= w /\ o = 3 ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ w >= 2 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ 2 >= o ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ o >= 4 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, 3, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= n + 1 ] (?, 1) f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ a + h >= 0 /\ -a + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ a + d >= 0 /\ -a + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ a + c >= 0 /\ -a + c >= 0 /\ -s >= 0 /\ a - s >= 0 /\ -a - s >= 0 /\ s >= 0 /\ a + s >= 0 /\ -a + s >= 0 /\ -a >= 0 /\ a >= 0 ] (?, 1) f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h - 1 >= 0 /\ s + h - 1 >= 0 /\ a + h >= 0 /\ -a + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d - 1 >= 0 /\ s + d - 1 >= 0 /\ a + d >= 0 /\ -a + d >= 0 /\ c - 1 >= 0 /\ s + c - 2 >= 0 /\ -s + c >= 0 /\ a + c - 1 >= 0 /\ -a + c - 1 >= 0 /\ s - 1 >= 0 /\ a + s - 1 >= 0 /\ -a + s - 1 >= 0 /\ -a >= 0 /\ a >= 0 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, 0, m, w, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ w >= 1 ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(0, c, d, e, h, i, j, k, m, n, o, r, 0, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ s = 0 ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ s >= 1 ] (1, 2) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ h >= i ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, -1, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ j + 1 = 0 ] (3*i + 2, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= j + 2 ] (3*i + 2, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ j >= 0 ] (2, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ c >= e ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ w >= 1 /\ e >= c + 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ 0 >= a + 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ a >= 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, 0, 0, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ d = 0 /\ a = 0 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ d >= 1 /\ a = 0 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, 3) [ x >= 0 /\ y >= 1 /\ t = 3 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ 2 >= t /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ t >= 4 /\ x >= 0 /\ y >= 1 ] start location: f0 leaf cost: 1 By chaining the transition f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(0, c, d, e, h, i, j, k, m, n, o, r, 0, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ s = 0 ] with all transitions in problem 12, the following new transition is obtained: f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(0, c, d, e, h, i, j, k, m, n, o, r, 0, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ s = 0 /\ 0 >= 0 ] We thus obtain the following problem: 13: T: (2, 2) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(0, c, d, e, h, i, j, k, m, n, o, r, 0, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ s = 0 /\ 0 >= 0 ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ -r - k + 10 >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ -r + k + 10 >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ -r + i + 9 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -r + h + 10 >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ -r + e + 9 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -r + d + 10 >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ -r + c + 10 >= 0 /\ s >= 0 /\ -r + s + 10 >= 0 /\ -r + 10 >= 0 /\ 0 >= n + 1 ] (?, 1) f62(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, k, k, m, n, o, r, s + 1, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ -r - k + 10 >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ -r + k + 10 >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ -r + i + 9 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -r + h + 10 >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ -r + e + 9 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -r + d + 10 >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ -r + c + 10 >= 0 /\ s >= 0 /\ -r + s + 10 >= 0 /\ -r + 10 >= 0 /\ n >= 0 ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ n - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ n + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ n + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ n + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ n + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ n + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ n + c >= 0 /\ s >= 0 /\ n + s >= 0 /\ n >= 0 /\ 10 >= r ] (?, 1) f59(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f62(a, c, d, e, h, i, j, k, m, w, o, 10, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ n - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ n + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ n + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ n + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ n + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ n + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ n + c >= 0 /\ s >= 0 /\ n + s >= 0 /\ n >= 0 /\ r >= 11 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, k, 0, w, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ m = 0 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= m + 1 ] (?, 1) f47(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ m >= 1 ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ 0 >= w /\ o = 3 ] (2, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, 3, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ w >= 2 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ 2 >= o ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, o, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ o >= 4 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f59(a, c, d, e, h, i, j, k, m, n, 3, w, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ n >= 0 /\ o = 3 ] (?, 1) f50(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ -k >= 0 /\ i - k - 1 >= 0 /\ h - k >= 0 /\ e - k - 1 >= 0 /\ d - k >= 0 /\ c - k >= 0 /\ s - k >= 0 /\ k >= 0 /\ i + k - 1 >= 0 /\ h + k >= 0 /\ e + k - 1 >= 0 /\ d + k >= 0 /\ c + k >= 0 /\ s + k >= 0 /\ i - 1 >= 0 /\ h + i - 1 >= 0 /\ -h + i - 1 >= 0 /\ e + i - 2 >= 0 /\ d + i - 1 >= 0 /\ c + i - 1 >= 0 /\ s + i - 1 >= 0 /\ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= n + 1 ] (?, 1) f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f71(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ a + h >= 0 /\ -a + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ a + d >= 0 /\ -a + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ a + c >= 0 /\ -a + c >= 0 /\ -s >= 0 /\ a - s >= 0 /\ -a - s >= 0 /\ s >= 0 /\ a + s >= 0 /\ -a + s >= 0 /\ -a >= 0 /\ a >= 0 ] (?, 1) f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h - 1 >= 0 /\ s + h - 1 >= 0 /\ a + h >= 0 /\ -a + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d - 1 >= 0 /\ s + d - 1 >= 0 /\ a + d >= 0 /\ -a + d >= 0 /\ c - 1 >= 0 /\ s + c - 2 >= 0 /\ -s + c >= 0 /\ a + c - 1 >= 0 /\ -a + c - 1 >= 0 /\ s - 1 >= 0 /\ a + s - 1 >= 0 /\ -a + s - 1 >= 0 /\ -a >= 0 /\ a >= 0 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f47(a, c, d, e, h, i, j, 0, x, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ w >= 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f50(a, c, d, e, h, i, j, 0, m, w, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= w + 1 ] (?, 1) f39(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, w, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ w >= 1 ] (2, 1) f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f74(0, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ s >= 1 ] (1, 2) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ h >= i ] (?, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f39(a, c, d, e, h, i, -1, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ j + 1 = 0 ] (3*i + 2, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ 0 >= j + 2 ] (3*i + 2, 1) f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h + 1, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ e + h - 1 >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ e - 1 >= 0 /\ d + e - 1 >= 0 /\ -d + e - 1 >= 0 /\ c + e - 1 >= 0 /\ -c + e - 1 >= 0 /\ s + e - 1 >= 0 /\ -s + e - 1 >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ i >= h + 1 /\ j >= 0 ] (2, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f69(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ c >= e ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ w >= 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f33(a, c, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ 0 >= w + 1 /\ e >= c + 1 ] (?, 1) f26(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, c + 1, d, e, h, i, j, k, m, n, o, r, s, t) [ h >= 0 /\ d + h >= 0 /\ c + h >= 0 /\ s + h >= 0 /\ c - d >= 0 /\ d >= 0 /\ c + d >= 0 /\ s + d >= 0 /\ c >= 0 /\ s + c >= 0 /\ -s + c >= 0 /\ s >= 0 /\ w >= 1 /\ e >= c + 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ 0 >= a + 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(a, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ a >= 1 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, 0, 0, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ d = 0 /\ a = 0 ] (3, 1) f20(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f26(0, d, d, e, h, i, j, k, m, n, o, r, s, t) [ -h >= 0 /\ d - h >= 0 /\ s - h >= 0 /\ -s - h >= 0 /\ h >= 0 /\ d + h >= 0 /\ s + h >= 0 /\ -s + h >= 0 /\ d >= 0 /\ s + d >= 0 /\ -s + d >= 0 /\ -s >= 0 /\ s >= 0 /\ d >= 1 /\ a = 0 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, 3) [ x >= 0 /\ y >= 1 /\ t = 3 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ 2 >= t /\ x >= 0 /\ y >= 1 ] (1, 1) f0(a, c, d, e, h, i, j, k, m, n, o, r, s, t) -> f20(z, c, x, w, 0, i, j, k, m, n, o, r, 0, t) [ t >= 4 /\ x >= 0 /\ y >= 1 ] start location: f0 leaf cost: 1 Complexity upper bound ? Time: 16.376 sec (SMT: 8.190 sec)