MAYBE Initial complexity problem: 1: T: (?, 1) f2(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f2(a, b + 1, c, d1, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b /\ c >= d1 ] (?, 1) f2(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f2(a, b + 1, e1, d1, e1, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b /\ d1 >= c + 1 ] (?, 1) f15(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f15(a, b + 1, c, d, e, 0, 0, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f15(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f15(a, b + 1, c, d, e, d1, e1, h + e1, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b /\ 0 >= d1 + 1 ] (?, 1) f15(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f15(a, b + 1, c, d, e, d1, e1, h + e1, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b /\ d1 >= 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, w, x, y, z, a1, b1, c1) -> f30(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ 0 >= i + 1 /\ 200 >= j ] (?, 1) f26(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f30(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ i >= 1 /\ 200 >= j ] (?, 1) f30(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f33(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f33(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f33(a, b, c, d, e, f, g, h, i, j, k + 1, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= k ] (?, 1) f42(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f47(a, b, c, d, e, f, g, h, i, j, k, l, d1, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f42(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f47(a, b, c, d, e, f, g, h, i, j, k, l, d1, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= l + 1 /\ d1 >= 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, w, x, y, z, a1, b1, c1) -> f51(a, b, c, d, e, f, g, 0, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= k ] (?, 1) f51(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f51(a, b + 1, c, d, e, f, g, d1, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f58(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f58(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f42(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f42(a, b, c, d, e, f, g, h, i, j, k, l + 1, 0, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= l + 1 ] (?, 1) f68(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f72(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f72(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f72(a, b, c, d, e, f, g, h, i, j, k + 1, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= k + 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, w, x, y, z, a1, b1, c1) -> f81(a, b, c, d, e, f, g, h, 0, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ 200 >= j /\ i = 0 ] (?, 1) f81(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f81(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f87(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f90(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f90(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f90(a, b, c, d, e, f, g, d1, i, j, k + 1, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= k ] (?, 1) f100(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f103(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f103(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f103(a, b, c, d, e, f, g, d1, i, j, k + 1, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= k ] (?, 1) f119(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f122(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f122(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f122(a, b, c, d, e, f, g, d1, i, j, k + 1, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= k ] (?, 1) f131(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f131(a, b + 1, c, d, e, 0, g, h, i, j, k, l, m, 0, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f131(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f131(a, b + 1, c, d, e, d1, g, h, i, j, k, l, m, e1, o + e1, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b /\ 0 >= d1 + 1 ] (?, 1) f131(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f131(a, b + 1, c, d, e, d1, g, h, i, j, k, l, m, e1, o + e1, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b /\ d1 >= 1 ] (?, 1) f141(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f141(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f147(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f147(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f152(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f155(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f155(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f155(a, b, c, d, e, f, g, d1, i, j, k + 1, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= k ] (?, 1) f164(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f167(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= 1 ] (?, 1) f167(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f167(a, b, c, d, e, f, g, d1, i, j, k + 1, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= k ] (?, 1) f176(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f176(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f184(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f187(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f187(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f187(a, b, c, d, e, f, g, d1, i, j, k + 1, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= k ] (?, 1) f199(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f199(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, d1, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b /\ c >= d1 ] (?, 1) f199(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f199(a, b + 1, d1, d, e, f, g, h, i, j, k, l, m, n, o, e1, d1, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b /\ e1 >= c + 1 ] (?, 1) f210(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f210(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ a >= b ] (?, 1) f218(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f228(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, d1, e1, e1, 1, e1, f1, x, y, z, a1, b1, c1) [ a >= b /\ e1 >= 2 ] (?, 1) f218(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f228(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, d1, e1, e1, 1, 1, f1, x, y, z, a1, b1, c1) [ a >= b /\ 1 >= e1 ] (?, 1) f228(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f218(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ c >= w ] (?, 1) f228(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f218(a, b + 1, w, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ w >= c + 1 ] (?, 1) f218(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f26(a, b, c, d, e, f, g, h, i, j + 1, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 /\ c >= 0 ] (?, 1) f218(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f1(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 /\ 0 >= c + 1 ] (?, 1) f210(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f26(a, b, c, d, e, f, g, h, i, j + 1, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 ] (?, 1) f199(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f210(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, d1, y, z, a1, b1, c1) [ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f199(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f210(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, d1, y, z, a1, b1, c1) [ b >= a + 1 /\ d1 >= 1 ] (?, 1) f199(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f218(a, b, 0, d, e, f, g, h, 0, j, k, l, m, n, o, p, q, r, s, t, u, v, w, 0, y, z, a1, b1, c1) [ b >= a + 1 ] (?, 1) f187(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f184(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ k >= a + 1 ] (?, 1) f184(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f199(a, b, 0, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 ] (?, 1) f176(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f184(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, d1, z, a1, b1, c1) [ b >= a + 1 ] (?, 1) f167(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f164(a, b - 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ k >= b + 1 ] (?, 1) f164(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f176(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ 0 >= b ] (?, 1) f155(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f152(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ k >= a + 1 ] (?, 1) f152(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f164(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 ] (?, 1) f147(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f152(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 ] (?, 1) f141(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f147(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 ] (?, 1) f131(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f141(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 ] (?, 1) f122(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f119(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ k >= a + 1 ] (?, 1) f119(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f131(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 ] (?, 1) f103(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f100(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, 0, d1, e1, f1) [ k >= a + 1 /\ d1 >= 0 ] (?, 1) f103(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f100(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, d1, e1, f1) [ k >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f100(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f152(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 /\ 0 >= z + 1 ] (?, 1) f100(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f152(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 /\ z >= 1 ] (?, 1) f100(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f119(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, 0, a1, b1, c1) [ b >= a + 1 /\ z = 0 ] (?, 1) f90(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f87(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ k >= a + 1 ] (?, 1) f87(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f100(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, 1, a1, b1, c1) [ b >= a + 1 ] (?, 1) f81(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f87(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 ] (?, 1) f72(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f68(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ k >= b ] (?, 1) f68(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f152(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 ] (?, 1) f58(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f47(a, b, c, d, e, f, g, h, i, j, k + 1, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 ] (?, 1) f51(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f58(a, b, c, d, e, f, g, d1, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 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, w, x, y, z, a1, b1, c1) -> f42(a, b, c, d, e, f, g, h, i, j, k, l + 1, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ k >= a + 1 ] (?, 1) f42(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f68(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ l >= a ] (?, 1) f33(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f30(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ k >= a + 1 ] (?, 1) f30(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f42(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 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, w, x, y, z, a1, b1, c1) -> f1(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ j >= 201 ] (?, 1) f15(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f26(a, b, c, d, e, f, g, h, 1, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 ] (?, 1) f2(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f1(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 /\ 0 >= c ] (?, 1) f2(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f15(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) [ b >= a + 1 /\ c >= 1 ] (1, 1) start(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) -> f2(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, a1, b1, c1) start location: start leaf cost: 0 Slicing away variables that do not contribute to conditions from problem 1 leaves variables [a, b, c, i, j, k, l, w, z]. We thus obtain the following problem: 2: T: (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f1(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= c ] (?, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f26(a, b, c, i, j, k, l, w, z) -> f1(a, b, c, i, j, k, l, w, z) [ j >= 201 ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f90(a, b, c, i, j, k, l, w, z) -> f87(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f100(a, b, c, i, j, k, l, w, z) -> f119(a, b, c, i, j, k, l, w, 0) [ b >= a + 1 /\ z = 0 ] (?, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (?, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= z + 1 ] (?, 1) f103(a, b, c, i, j, k, l, w, z) -> f100(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f103(a, b, c, i, j, k, l, w, z) -> f100(a, b + 1, c, i, j, k, l, w, 0) [ k >= a + 1 /\ d1 >= 0 ] (?, 1) f119(a, b, c, i, j, k, l, w, z) -> f131(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f122(a, b, c, i, j, k, l, w, z) -> f119(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f131(a, b, c, i, j, k, l, w, z) -> f141(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f141(a, b, c, i, j, k, l, w, z) -> f147(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f147(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f155(a, b, c, i, j, k, l, w, z) -> f152(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f187(a, b, c, i, j, k, l, w, z) -> f184(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f1(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= c + 1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (?, 1) f228(a, b, c, i, j, k, l, w, z) -> f218(a, b + 1, w, i, j, k, l, w, z) [ w >= c + 1 ] (?, 1) f228(a, b, c, i, j, k, l, w, z) -> f218(a, b + 1, c, i, j, k, l, w, z) [ c >= w ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f228(a, b, c, i, j, k, l, f1, z) [ a >= b /\ 1 >= e1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f228(a, b, c, i, j, k, l, f1, z) [ a >= b /\ e1 >= 2 ] (?, 1) f210(a, b, c, i, j, k, l, w, z) -> f210(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f199(a, b + 1, d1, i, j, k, l, w, z) [ a >= b /\ e1 >= c + 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f199(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f187(a, b, c, i, j, k, l, w, z) -> f187(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f184(a, b, c, i, j, k, l, w, z) -> f187(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (?, 1) f155(a, b, c, i, j, k, l, w, z) -> f155(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f152(a, b, c, i, j, k, l, w, z) -> f155(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f147(a, b, c, i, j, k, l, w, z) -> f147(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f141(a, b, c, i, j, k, l, w, z) -> f141(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f131(a, b, c, i, j, k, l, w, z) -> f131(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ d1 >= 1 ] (?, 1) f131(a, b, c, i, j, k, l, w, z) -> f131(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ 0 >= d1 + 1 ] (?, 1) f131(a, b, c, i, j, k, l, w, z) -> f131(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f122(a, b, c, i, j, k, l, w, z) -> f122(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f119(a, b, c, i, j, k, l, w, z) -> f122(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f103(a, b, c, i, j, k, l, w, z) -> f103(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f100(a, b, c, i, j, k, l, w, z) -> f103(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f90(a, b, c, i, j, k, l, w, z) -> f90(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f87(a, b, c, i, j, k, l, w, z) -> f90(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (?, 1) f58(a, b, c, i, j, k, l, w, z) -> f58(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (?, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (?, 1) f15(a, b, c, i, j, k, l, w, z) -> f15(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ d1 >= 1 ] (?, 1) f15(a, b, c, i, j, k, l, w, z) -> f15(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ 0 >= d1 + 1 ] (?, 1) f15(a, b, c, i, j, k, l, w, z) -> f15(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] start location: start leaf cost: 0 Repeatedly removing leaves of the complexity graph in problem 2 produces the following problem: 3: T: (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (?, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f90(a, b, c, i, j, k, l, w, z) -> f87(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f100(a, b, c, i, j, k, l, w, z) -> f119(a, b, c, i, j, k, l, w, 0) [ b >= a + 1 /\ z = 0 ] (?, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (?, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= z + 1 ] (?, 1) f103(a, b, c, i, j, k, l, w, z) -> f100(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f103(a, b, c, i, j, k, l, w, z) -> f100(a, b + 1, c, i, j, k, l, w, 0) [ k >= a + 1 /\ d1 >= 0 ] (?, 1) f119(a, b, c, i, j, k, l, w, z) -> f131(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f122(a, b, c, i, j, k, l, w, z) -> f119(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f131(a, b, c, i, j, k, l, w, z) -> f141(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f141(a, b, c, i, j, k, l, w, z) -> f147(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f147(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f155(a, b, c, i, j, k, l, w, z) -> f152(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f187(a, b, c, i, j, k, l, w, z) -> f184(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (?, 1) f228(a, b, c, i, j, k, l, w, z) -> f218(a, b + 1, w, i, j, k, l, w, z) [ w >= c + 1 ] (?, 1) f228(a, b, c, i, j, k, l, w, z) -> f218(a, b + 1, c, i, j, k, l, w, z) [ c >= w ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f228(a, b, c, i, j, k, l, f1, z) [ a >= b /\ 1 >= e1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f228(a, b, c, i, j, k, l, f1, z) [ a >= b /\ e1 >= 2 ] (?, 1) f210(a, b, c, i, j, k, l, w, z) -> f210(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f199(a, b + 1, d1, i, j, k, l, w, z) [ a >= b /\ e1 >= c + 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f199(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f187(a, b, c, i, j, k, l, w, z) -> f187(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f184(a, b, c, i, j, k, l, w, z) -> f187(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (?, 1) f155(a, b, c, i, j, k, l, w, z) -> f155(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f152(a, b, c, i, j, k, l, w, z) -> f155(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f147(a, b, c, i, j, k, l, w, z) -> f147(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f141(a, b, c, i, j, k, l, w, z) -> f141(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f131(a, b, c, i, j, k, l, w, z) -> f131(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ d1 >= 1 ] (?, 1) f131(a, b, c, i, j, k, l, w, z) -> f131(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ 0 >= d1 + 1 ] (?, 1) f131(a, b, c, i, j, k, l, w, z) -> f131(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f122(a, b, c, i, j, k, l, w, z) -> f122(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f119(a, b, c, i, j, k, l, w, z) -> f122(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f103(a, b, c, i, j, k, l, w, z) -> f103(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f100(a, b, c, i, j, k, l, w, z) -> f103(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f90(a, b, c, i, j, k, l, w, z) -> f90(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f87(a, b, c, i, j, k, l, w, z) -> f90(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (?, 1) f58(a, b, c, i, j, k, l, w, z) -> f58(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (?, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (?, 1) f15(a, b, c, i, j, k, l, w, z) -> f15(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ d1 >= 1 ] (?, 1) f15(a, b, c, i, j, k, l, w, z) -> f15(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ 0 >= d1 + 1 ] (?, 1) f15(a, b, c, i, j, k, l, w, z) -> f15(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] start location: start leaf cost: 3 Testing for reachability in the complexity graph removes the following transitions from problem 3: f90(a, b, c, i, j, k, l, w, z) -> f87(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] f100(a, b, c, i, j, k, l, w, z) -> f119(a, b, c, i, j, k, l, w, 0) [ b >= a + 1 /\ z = 0 ] f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= z + 1 ] f103(a, b, c, i, j, k, l, w, z) -> f100(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 /\ 0 >= d1 + 1 ] f103(a, b, c, i, j, k, l, w, z) -> f100(a, b + 1, c, i, j, k, l, w, 0) [ k >= a + 1 /\ d1 >= 0 ] f119(a, b, c, i, j, k, l, w, z) -> f131(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f122(a, b, c, i, j, k, l, w, z) -> f119(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] f131(a, b, c, i, j, k, l, w, z) -> f141(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f141(a, b, c, i, j, k, l, w, z) -> f147(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f147(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f155(a, b, c, i, j, k, l, w, z) -> f152(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] f187(a, b, c, i, j, k, l, w, z) -> f184(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] f228(a, b, c, i, j, k, l, w, z) -> f218(a, b + 1, w, i, j, k, l, w, z) [ w >= c + 1 ] f228(a, b, c, i, j, k, l, w, z) -> f218(a, b + 1, c, i, j, k, l, w, z) [ c >= w ] f218(a, b, c, i, j, k, l, w, z) -> f228(a, b, c, i, j, k, l, f1, z) [ a >= b /\ 1 >= e1 ] f218(a, b, c, i, j, k, l, w, z) -> f228(a, b, c, i, j, k, l, f1, z) [ a >= b /\ e1 >= 2 ] f210(a, b, c, i, j, k, l, w, z) -> f210(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f199(a, b, c, i, j, k, l, w, z) -> f199(a, b + 1, d1, i, j, k, l, w, z) [ a >= b /\ e1 >= c + 1 ] f199(a, b, c, i, j, k, l, w, z) -> f199(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] f187(a, b, c, i, j, k, l, w, z) -> f187(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] f184(a, b, c, i, j, k, l, w, z) -> f187(a, b, c, i, j, k, l, w, z) [ a >= b ] f155(a, b, c, i, j, k, l, w, z) -> f155(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] f152(a, b, c, i, j, k, l, w, z) -> f155(a, b, c, i, j, k, l, w, z) [ a >= b ] f147(a, b, c, i, j, k, l, w, z) -> f147(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f141(a, b, c, i, j, k, l, w, z) -> f141(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f131(a, b, c, i, j, k, l, w, z) -> f131(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ d1 >= 1 ] f131(a, b, c, i, j, k, l, w, z) -> f131(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ 0 >= d1 + 1 ] f131(a, b, c, i, j, k, l, w, z) -> f131(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f122(a, b, c, i, j, k, l, w, z) -> f122(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] f119(a, b, c, i, j, k, l, w, z) -> f122(a, b, c, i, j, k, l, w, z) [ a >= b ] f103(a, b, c, i, j, k, l, w, z) -> f103(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] f100(a, b, c, i, j, k, l, w, z) -> f103(a, b, c, i, j, k, l, w, z) [ a >= b ] f90(a, b, c, i, j, k, l, w, z) -> f90(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] f87(a, b, c, i, j, k, l, w, z) -> f90(a, b, c, i, j, k, l, w, z) [ a >= b ] f58(a, b, c, i, j, k, l, w, z) -> f58(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f15(a, b, c, i, j, k, l, w, z) -> f15(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ d1 >= 1 ] f15(a, b, c, i, j, k, l, w, z) -> f15(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ 0 >= d1 + 1 ] f15(a, b, c, i, j, k, l, w, z) -> f15(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] We thus obtain the following problem: 4: T: (?, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (?, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (?, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (?, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (?, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (?, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f100) = -201 Pol(f152) = -201 Pol(f87) = -201 Pol(f81) = -201 Pol(f26) = -201 Pol(f30) = -201 Pol(f210) = -201 Pol(f218) = -201 Pol(f199) = -201 Pol(f184) = -201 Pol(f167) = -201 Pol(f164) = -201 Pol(f176) = -201 Pol(f58) = -201 Pol(f47) = -201 Pol(f51) = -201 Pol(f72) = -201 Pol(f68) = -201 Pol(f42) = -201 Pol(f33) = -201 Pol(f15) = 1 Pol(f2) = 2 Pol(start) = 2 orients all transitions weakly and the transitions f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] strictly and produces the following problem: 5: T: (?, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (?, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (?, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (?, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (?, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f100) = -10*V_5 + 1998 Pol(f152) = -10*V_5 + 1997 Pol(f87) = -10*V_5 + 1999 Pol(f81) = -10*V_5 + 2000 Pol(f26) = -10*V_5 + 2001 Pol(f30) = -10*V_5 + 2000 Pol(f210) = -10*V_5 + 1992 Pol(f218) = -10*V_5 + 1992 Pol(f199) = -10*V_5 + 1993 Pol(f184) = -10*V_5 + 1994 Pol(f167) = -10*V_5 + 1996 Pol(f164) = -10*V_5 + 1996 Pol(f176) = -10*V_5 + 1995 Pol(f58) = -10*V_5 + 1999 Pol(f47) = -10*V_5 + 1999 Pol(f51) = -10*V_5 + 1999 Pol(f72) = -10*V_5 + 1998 Pol(f68) = -10*V_5 + 1998 Pol(f42) = -10*V_5 + 1999 Pol(f33) = -10*V_5 + 2000 Pol(f15) = -10*V_5 + 2001 Pol(f2) = -10*V_5 + 2001 Pol(start) = -10*V_5 + 2001 orients all transitions weakly and the transitions f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] strictly and produces the following problem: 6: T: (?, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (?, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (?, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (?, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f87) = 3 Pol(f100) = 2 Pol(f81) = 4 Pol(f72) = 2 Pol(f68) = 2 Pol(f152) = 1 Pol(f58) = 3 Pol(f47) = 3 Pol(f51) = 3 Pol(f42) = 3 Pol(f33) = 4 Pol(f30) = 4 Pol(f218) = -5 Pol(f26) = -6 Pol(f210) = -5 Pol(f2) = 1 Pol(f199) = -4 Pol(f184) = -3 Pol(f176) = -2 Pol(f167) = -1 Pol(f164) = -1 and size complexities S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-0) = a S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-1) = b S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-2) = c S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-3) = i S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-4) = j S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-5) = k S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-6) = l S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-7) = w S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-8) = z S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-0) = a S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-1) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-2) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-3) = i S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-4) = j S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-5) = k S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-6) = l S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-7) = w S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-8) = z S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-0) = a S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-1) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-2) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-3) = i S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-4) = j S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-5) = k S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-6) = l S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-7) = w S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-8) = z S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-0) = a S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-1) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-2) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-3) = i S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-4) = j S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-5) = k S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-6) = l S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-7) = w S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-8) = z S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = j S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = k S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = l S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-0) = a S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-1) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-2) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-3) = 1 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-4) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-5) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-6) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-7) = w S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-4) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-6) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-4) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-6) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-4) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-6) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-4) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-6) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-8) = z + 1 S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-0) = a S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-1) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-2) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-4) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-5) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-6) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-7) = w S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-0) = a S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-1) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-2) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-3) = 1 S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-4) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-5) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-6) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-7) = w S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-0) = a S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-1) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-2) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-4) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-5) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-6) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-7) = w S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-0) = a S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-1) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-2) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-3) = 1 S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-4) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-5) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-6) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-7) = w S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-0) = a S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-1) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-2) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-3) = 1 S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-4) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-5) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-6) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-7) = w S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-8) = z + 1 S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-0) = a S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-1) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-2) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-3) = 1 S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-4) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-5) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-6) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-7) = w S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-8) = z + 1 S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-0) = a S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-1) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-2) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-3) = 1 S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-4) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-5) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-6) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-7) = w S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-8) = z + 1 S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-0) = a S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-1) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-2) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-3) = 1 S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-4) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-5) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-6) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-7) = w S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-8) = z + 1 S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-0) = a S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-1) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-2) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-3) = 1 S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-4) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-5) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-6) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-7) = w S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-8) = z + 1 S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-0) = a S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-1) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-2) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-3) = 1 S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-4) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-5) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-6) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-7) = w S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-8) = z + 1 S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-0) = a S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-2) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-4) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-6) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-7) = w S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-2) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-4) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-6) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-8) = z + 1 S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-0) = a S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-1) = ? S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-2) = 0 S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-3) = 0 S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-4) = ? S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-5) = ? S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-6) = ? S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-7) = w S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-8) = z + 1 S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-0) = a S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-1) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-2) = 0 S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-3) = 0 S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-4) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-5) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-6) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-7) = w S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-8) = z + 1 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-0) = a S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-1) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-2) = 0 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-3) = 1 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-4) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-5) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-6) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-7) = w S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-0) = a S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-1) = ? S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-2) = 0 S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-3) = 0 S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-4) = ? S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-5) = ? S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-6) = ? S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-7) = w S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-8) = 1 S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-0) = a S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-1) = ? S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-2) = 0 S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-3) = 0 S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-4) = ? S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-5) = ? S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-6) = ? S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-7) = w S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-8) = 1 orients the transitions f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ] f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] weakly and the transitions f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ] f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] strictly and produces the following problem: 7: T: (120*j + 24013, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (?, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (?, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f81) = 0 Pol(f72) = -1 Pol(f68) = -1 Pol(f58) = -2 Pol(f47) = -2 Pol(f51) = -2 Pol(f42) = -2 Pol(f33) = -1 Pol(f30) = -1 Pol(f218) = -1 Pol(f26) = -2 Pol(f210) = 1 Pol(f2) = -1 Pol(f199) = 2 Pol(f184) = 3 Pol(f176) = 4 Pol(f167) = 5 Pol(f164) = 5 and size complexities S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-0) = a S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-1) = b S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-2) = c S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-3) = i S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-4) = j S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-5) = k S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-6) = l S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-7) = w S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-8) = z S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-0) = a S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-1) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-2) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-3) = i S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-4) = j S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-5) = k S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-6) = l S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-7) = w S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-8) = z S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-0) = a S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-1) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-2) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-3) = i S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-4) = j S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-5) = k S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-6) = l S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-7) = w S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-8) = z S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-0) = a S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-1) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-2) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-3) = i S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-4) = j S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-5) = k S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-6) = l S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-7) = w S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-8) = z S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = j S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = k S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = l S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-0) = a S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-1) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-2) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-3) = 1 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-4) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-5) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-6) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-7) = w S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-4) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-6) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-4) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-6) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-4) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-6) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-4) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-6) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-8) = z + 1 S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-0) = a S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-1) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-2) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-4) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-5) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-6) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-7) = w S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-0) = a S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-1) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-2) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-3) = 1 S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-4) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-5) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-6) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-7) = w S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-0) = a S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-1) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-2) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-4) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-5) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-6) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-7) = w S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-0) = a S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-1) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-2) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-3) = 1 S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-4) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-5) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-6) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-7) = w S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-0) = a S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-1) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-2) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-3) = 1 S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-4) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-5) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-6) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-7) = w S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-8) = z + 1 S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-0) = a S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-1) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-2) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-3) = 1 S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-4) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-5) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-6) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-7) = w S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-8) = z + 1 S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-0) = a S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-1) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-2) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-3) = 1 S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-4) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-5) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-6) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-7) = w S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-8) = z + 1 S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-0) = a S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-1) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-2) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-3) = 1 S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-4) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-5) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-6) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-7) = w S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-8) = z + 1 S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-0) = a S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-1) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-2) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-3) = 1 S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-4) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-5) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-6) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-7) = w S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-8) = z + 1 S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-0) = a S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-1) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-2) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-3) = 1 S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-4) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-5) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-6) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-7) = w S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-8) = z + 1 S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-0) = a S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-2) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-4) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-6) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-7) = w S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-2) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-4) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-6) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-8) = z + 1 S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-0) = a S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-1) = ? S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-2) = 0 S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-3) = 0 S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-4) = ? S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-5) = ? S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-6) = ? S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-7) = w S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-8) = z + 1 S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-0) = a S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-1) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-2) = 0 S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-3) = 0 S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-4) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-5) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-6) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-7) = w S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-8) = z + 1 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-0) = a S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-1) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-2) = 0 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-3) = 1 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-4) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-5) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-6) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-7) = w S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-0) = a S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-1) = ? S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-2) = 0 S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-3) = 0 S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-4) = ? S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-5) = ? S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-6) = ? S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-7) = w S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-8) = 1 S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-0) = a S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-1) = ? S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-2) = 0 S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-3) = 0 S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-4) = ? S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-5) = ? S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-6) = ? S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-7) = w S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-8) = 1 orients the transitions f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] weakly and the transitions f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] strictly and produces the following problem: 8: T: (120*j + 24013, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 Repeatedly propagating knowledge in problem 8 produces the following problem: 9: T: (120*j + 24013, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f100) = 3*V_1 - 3*V_6 + 1 Pol(f152) = 3*V_1 - 3*V_6 + 1 Pol(f87) = 3*V_1 - 3*V_6 + 1 Pol(f81) = 3*V_1 - 3*V_6 + 1 Pol(f26) = 3*V_1 - 3*V_6 + 1 Pol(f30) = 3*V_1 - 3*V_6 + 1 Pol(f210) = 3*V_1 - 3*V_6 + 1 Pol(f218) = 3*V_1 - 3*V_6 + 1 Pol(f199) = 3*V_1 - 3*V_6 + 1 Pol(f184) = 3*V_1 - 3*V_6 + 1 Pol(f167) = 3*V_1 - 3*V_6 + 1 Pol(f164) = 3*V_1 - 3*V_6 + 1 Pol(f176) = 3*V_1 - 3*V_6 + 1 Pol(f58) = 3*V_1 - 3*V_6 - 1 Pol(f47) = 3*V_1 - 3*V_6 + 1 Pol(f51) = 3*V_1 - 3*V_6 Pol(f72) = 3*V_1 - 3*V_6 + 1 Pol(f68) = 3*V_1 - 3*V_6 + 1 Pol(f42) = 3*V_1 - 3*V_6 + 1 Pol(f33) = 3*V_1 - 3*V_6 + 1 Pol(f15) = 3*V_1 - 3*V_6 + 1 Pol(f2) = 3*V_1 - 3*V_6 + 1 Pol(start) = 3*V_1 - 3*V_6 + 1 orients all transitions weakly and the transitions f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] strictly and produces the following problem: 10: T: (120*j + 24013, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f81) = 0 Pol(f72) = -1 Pol(f68) = -1 Pol(f58) = 1 Pol(f47) = -2 Pol(f51) = 2 Pol(f42) = -2 Pol(f33) = -1 Pol(f30) = -1 Pol(f2) = -1 Pol(f176) = 0 Pol(f167) = -1 Pol(f164) = -1 and size complexities S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-0) = a S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-1) = b S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-2) = c S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-3) = i S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-4) = j S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-5) = k S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-6) = l S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-7) = w S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-8) = z S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-0) = a S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-1) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-2) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-3) = i S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-4) = j S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-5) = k S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-6) = l S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-7) = w S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-8) = z S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-0) = a S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-1) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-2) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-3) = i S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-4) = j S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-5) = k S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-6) = l S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-7) = w S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-8) = z S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-0) = a S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-1) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-2) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-3) = i S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-4) = j S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-5) = k S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-6) = l S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-7) = w S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-8) = z S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = j S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = k S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = l S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-0) = a S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-1) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-2) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-3) = 1 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-4) = 1961*j + 1508267173494 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-5) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-6) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-7) = w S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1961*j + 1508267173494 S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-4) = 1961*j + 1508267173494 S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-6) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-4) = 1961*j + 1508267173494 S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-6) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-4) = 1961*j + 1508267173494 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-6) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-4) = 1961*j + 1508267173494 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-6) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-8) = z + 1 S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-0) = a S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-1) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-2) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-5) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-6) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-7) = w S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-0) = a S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-1) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-2) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-3) = 1 S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-4) = 1961*j + 1508267173494 S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-5) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-6) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-7) = w S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1961*j + 1508267173494 S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-0) = a S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-1) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-2) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-5) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-6) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-7) = w S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-0) = a S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-1) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-2) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-3) = 1 S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-4) = 1961*j + 1508267173494 S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-5) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-6) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-7) = w S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-0) = a S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-1) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-2) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-3) = 1 S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-4) = 1961*j + 1508267173494 S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-5) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-6) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-7) = w S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-8) = z + 1 S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-0) = a S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-1) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-2) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-3) = 1 S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-4) = 1961*j + 1508267173494 S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-5) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-6) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-7) = w S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-8) = z + 1 S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1961*j + 1508267173494 S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-0) = a S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-1) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-2) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-3) = 1 S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-4) = 1961*j + 1508267173494 S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-5) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-6) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-7) = w S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-8) = z + 1 S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-0) = a S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-1) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-2) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-3) = 1 S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-4) = 1961*j + 1508267173494 S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-5) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-6) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-7) = w S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-8) = z + 1 S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1961*j + 1508267173494 S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-0) = a S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-1) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-2) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-3) = 1 S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-4) = 1961*j + 1508267173494 S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-5) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-6) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-7) = w S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-8) = z + 1 S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-0) = a S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-1) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-2) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-3) = 1 S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-4) = 1961*j + 1508267173494 S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-5) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-6) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-7) = w S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-8) = z + 1 S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-0) = a S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-2) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-4) = 1961*j + 1508267173494 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-6) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-7) = w S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-2) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-4) = 1961*j + 1508267173494 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-6) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-8) = z + 1 S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-0) = a S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-1) = ? S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-2) = 0 S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-3) = 0 S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-4) = 1961*j + 1508267173494 S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-5) = ? S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-6) = ? S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-7) = w S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-8) = z + 1 S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-0) = a S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-1) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-2) = 0 S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-3) = 0 S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-4) = 1961*j + 1508267173494 S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-5) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-6) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-7) = w S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-8) = z + 1 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-0) = a S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-1) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-2) = 0 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-3) = 1 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-4) = 1961*j + 1508267173494 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-5) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-6) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-7) = w S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1961*j + 1508267173494 S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-0) = a S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-1) = ? S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-2) = 0 S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-3) = 0 S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-5) = ? S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-6) = ? S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-7) = w S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-8) = 1 S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-0) = a S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-1) = ? S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-2) = 0 S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-3) = 0 S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-4) = 1961*j + 1508267173494 S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-5) = ? S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-6) = ? S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-7) = w S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-8) = 1 orients the transitions f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] weakly and the transitions f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] strictly and produces the following problem: 11: T: (120*j + 24013, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f100) = 2*V_1 - 2*V_7 - 1 Pol(f152) = 2*V_1 - 2*V_7 - 1 Pol(f87) = 2*V_1 - 2*V_7 - 1 Pol(f81) = 2*V_1 - 2*V_7 - 1 Pol(f26) = 2*V_1 - 2*V_7 - 1 Pol(f30) = 2*V_1 - 2*V_7 - 1 Pol(f210) = 2*V_1 - 2*V_7 - 1 Pol(f218) = 2*V_1 - 2*V_7 - 1 Pol(f199) = 2*V_1 - 2*V_7 - 1 Pol(f184) = 2*V_1 - 2*V_7 - 1 Pol(f167) = 2*V_1 - 2*V_7 - 1 Pol(f164) = 2*V_1 - 2*V_7 - 1 Pol(f176) = 2*V_1 - 2*V_7 - 1 Pol(f58) = 2*V_1 - 2*V_7 - 2 Pol(f47) = 2*V_1 - 2*V_7 - 2 Pol(f51) = 2*V_1 - 2*V_7 - 2 Pol(f72) = 2*V_1 - 2*V_7 - 1 Pol(f68) = 2*V_1 - 2*V_7 - 1 Pol(f42) = 2*V_1 - 2*V_7 - 1 Pol(f33) = 2*V_1 - 2*V_7 - 1 Pol(f15) = 2*V_1 - 2*V_7 - 1 Pol(f2) = 2*V_1 - 2*V_7 - 1 Pol(start) = 2*V_1 - 2*V_7 - 1 orients all transitions weakly and the transitions f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] strictly and produces the following problem: 12: T: (120*j + 24013, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 Repeatedly propagating knowledge in problem 12 produces the following problem: 13: T: (120*j + 24013, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f81) = 2*V_1 + V_3 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f72) = 2*V_1 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f68) = 2*V_1 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f51) = 2*V_1 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f33) = 2*V_1 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f30) = 2*V_1 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f2) = V_1 - V_2 + 1 Pol(f176) = 2*V_1 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f167) = V_1 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f164) = V_1 + V_4 + V_5 + V_7 + V_8 + V_9 and size complexities S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-0) = a S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-1) = b S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-2) = c S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-3) = i S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-4) = j S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-5) = k S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-6) = l S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-7) = w S("start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z)", 0-8) = z S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-0) = a S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-1) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-2) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-3) = i S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-4) = j S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-5) = k S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-6) = l S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-7) = w S("f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-8) = z S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-0) = a S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-1) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-2) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-3) = i S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-4) = j S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-5) = k S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-6) = l S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-7) = w S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-8) = z S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-0) = a S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-1) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-2) = ? S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-3) = i S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-4) = j S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-5) = k S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-6) = l S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-7) = w S("f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-8) = z S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = j S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = k S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = l S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-0) = a S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-1) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-2) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-3) = 1 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-4) = 1961*j + 1508267173494 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-5) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-7) = w S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1961*j + 1508267173494 S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-4) = 1961*j + 1508267173494 S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-4) = 1961*j + 1508267173494 S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-4) = 1961*j + 1508267173494 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-2) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-4) = 1961*j + 1508267173494 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-8) = z + 1 S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-0) = a S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-1) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-2) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-5) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-7) = w S("f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-0) = a S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-1) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-2) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-3) = 1 S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-4) = 1961*j + 1508267173494 S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-5) = ? S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-7) = w S("f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1961*j + 1508267173494 S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-0) = a S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-1) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-2) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-5) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-7) = w S("f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-0) = a S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-1) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-2) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-3) = 1 S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-4) = 1961*j + 1508267173494 S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-5) = ? S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-7) = w S("f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-0) = a S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-1) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-2) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-3) = 1 S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-4) = 1961*j + 1508267173494 S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-5) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-7) = w S("f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-8) = z + 1 S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-0) = a S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-1) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-2) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-3) = 1 S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-4) = 1961*j + 1508267173494 S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-5) = ? S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-7) = w S("f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-8) = z + 1 S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1961*j + 1508267173494 S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-0) = a S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-1) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-2) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-3) = 1 S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-4) = 1961*j + 1508267173494 S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-5) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-7) = w S("f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-8) = z + 1 S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-0) = a S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-1) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-2) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-3) = 1 S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-4) = 1961*j + 1508267173494 S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-5) = ? S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-7) = w S("f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-8) = z + 1 S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1961*j + 1508267173494 S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-0) = a S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-1) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-2) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-3) = 1 S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-4) = 1961*j + 1508267173494 S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-5) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-7) = w S("f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-8) = z + 1 S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-0) = a S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-1) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-2) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-3) = 1 S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-4) = 1961*j + 1508267173494 S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-5) = ? S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-7) = w S("f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-8) = z + 1 S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-0) = a S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-2) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-4) = 1961*j + 1508267173494 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-7) = w S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-2) = 0 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-4) = 1961*j + 1508267173494 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-8) = z + 1 S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-0) = a S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-1) = ? S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-2) = 0 S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-3) = 0 S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-4) = 1961*j + 1508267173494 S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-5) = ? S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-7) = w S("f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-8) = z + 1 S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-0) = a S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-1) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-2) = 0 S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-3) = 0 S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-4) = 1961*j + 1508267173494 S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-5) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-7) = w S("f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-8) = z + 1 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-0) = a S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-1) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-2) = 0 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-3) = 1 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-4) = 1961*j + 1508267173494 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-5) = ? S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-7) = w S("f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 0 S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1961*j + 1508267173494 S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-0) = a S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-1) = ? S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-2) = 0 S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-3) = 0 S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-4) = 1961*j + 1508267173494 S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-5) = ? S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-7) = w S("f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-8) = 1 S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-0) = a S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-1) = ? S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-2) = 0 S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-3) = 0 S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-4) = 1961*j + 1508267173494 S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-5) = ? S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-7) = w S("f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-8) = 1 orients the transitions f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] weakly and the transitions f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] strictly and produces the following problem: 14: T: (120*j + 24013, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 Applied AI with 'oct' on problem 14 to obtain the following invariants: For symbol f100: -X_9 + 1 >= 0 /\ -X_5 - X_9 + 201 >= 0 /\ X_4 - X_9 + 1 >= 0 /\ -X_4 - X_9 + 1 >= 0 /\ X_9 - 1 >= 0 /\ -X_5 + X_9 + 199 >= 0 /\ X_4 + X_9 - 1 >= 0 /\ -X_4 + X_9 - 1 >= 0 /\ -X_5 + 200 >= 0 /\ X_4 - X_5 + 200 >= 0 /\ -X_4 - X_5 + 200 >= 0 /\ -X_4 >= 0 /\ X_4 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f15: X_3 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f152: -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f164: -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 For symbol f167: -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ X_2 - X_5 + 199 >= 0 /\ -X_4 + 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_2 - 1 >= 0 For symbol f176: -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 For symbol f184: -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f199: -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ X_3 - X_5 + 200 >= 0 /\ -X_3 - X_5 + 200 >= 0 /\ -X_4 + 1 >= 0 /\ X_3 - X_4 + 1 >= 0 /\ -X_3 - X_4 + 1 >= 0 /\ -X_3 >= 0 /\ X_3 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f210: -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ X_3 - X_5 + 200 >= 0 /\ -X_3 - X_5 + 200 >= 0 /\ -X_4 + 1 >= 0 /\ X_3 - X_4 + 1 >= 0 /\ -X_3 - X_4 + 1 >= 0 /\ -X_3 >= 0 /\ X_3 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f218: -X_5 + 200 >= 0 /\ X_4 - X_5 + 200 >= 0 /\ -X_4 - X_5 + 200 >= 0 /\ X_3 - X_5 + 200 >= 0 /\ -X_3 - X_5 + 200 >= 0 /\ -X_4 >= 0 /\ X_3 - X_4 >= 0 /\ -X_3 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ -X_3 + X_4 >= 0 /\ -X_3 >= 0 /\ X_3 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f26: -X_4 + 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f30: -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f33: -1 >= 0 For symbol f42: -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f47: X_2 - X_7 - 2 >= 0 /\ X_1 - X_7 - 1 >= 0 /\ -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f51: X_2 - X_7 - 2 >= 0 /\ X_1 - X_7 - 1 >= 0 /\ X_2 - X_6 - 1 >= 0 /\ X_1 - X_6 >= 0 /\ -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f58: X_2 - X_7 - 2 >= 0 /\ X_1 - X_7 - 1 >= 0 /\ X_2 - X_6 - 1 >= 0 /\ X_1 - X_6 >= 0 /\ -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f68: -X_1 + X_7 >= 0 /\ -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f72: -1 >= 0 For symbol f81: -X_5 + 200 >= 0 /\ X_4 - X_5 + 200 >= 0 /\ -X_4 - X_5 + 200 >= 0 /\ -X_4 >= 0 /\ X_4 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f87: -X_5 + 200 >= 0 /\ X_4 - X_5 + 200 >= 0 /\ -X_4 - X_5 + 200 >= 0 /\ -X_4 >= 0 /\ X_4 >= 0 /\ -X_1 + X_2 - 1 >= 0 This yielded the following problem: 15: T: (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) (2, 1) f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (2, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ c - 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= b ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ -1 >= 0 /\ k >= a + 1 ] (3*a + 3*k + 1, 1) f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ -1 >= 0 /\ a >= k ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= b ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ -1 >= 0 /\ k >= b ] (?, 1) f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ -1 >= 0 /\ b >= k + 1 ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= b ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j ] (120*j + 24013, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ a >= b ] (120*j + 24013, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -z + 1 >= 0 /\ -j - z + 201 >= 0 /\ i - z + 1 >= 0 /\ -i - z + 1 >= 0 /\ z - 1 >= 0 /\ -j + z + 199 >= 0 /\ i + z - 1 >= 0 /\ -i + z - 1 >= 0 /\ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ z >= 1 ] start location: start leaf cost: 3 Testing for unsatisfiable constraints removes the following transitions from problem 15: f30(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= b ] f33(a, b, c, i, j, k, l, w, z) -> f30(a, b + 1, c, i, j, k, l, w, z) [ -1 >= 0 /\ k >= a + 1 ] f33(a, b, c, i, j, k, l, w, z) -> f33(a, b, c, i, j, k + 1, l, w, z) [ -1 >= 0 /\ a >= k ] f68(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= b ] f72(a, b, c, i, j, k, l, w, z) -> f68(a, b + 1, c, i, j, k, l, w, z) [ -1 >= 0 /\ k >= b ] f72(a, b, c, i, j, k, l, w, z) -> f72(a, b, c, i, j, k + 1, l, w, z) [ -1 >= 0 /\ b >= k + 1 ] f51(a, b, c, i, j, k, l, w, z) -> f51(a, b + 1, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= b ] f81(a, b, c, i, j, k, l, w, z) -> f81(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ a >= b ] We thus obtain the following problem: 16: T: (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) (2, 1) f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (2, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ c - 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j ] (120*j + 24013, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -z + 1 >= 0 /\ -j - z + 201 >= 0 /\ i - z + 1 >= 0 /\ -i - z + 1 >= 0 /\ z - 1 >= 0 /\ -j + z + 199 >= 0 /\ i + z - 1 >= 0 /\ -i + z - 1 >= 0 /\ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ z >= 1 ] start location: start leaf cost: 3 By chaining the transition f2(a, b, c, i, j, k, l, w, z) -> f15(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] with all transitions in problem 16, the following new transition is obtained: f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] We thus obtain the following problem: 17: T: (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (2, 1) f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ c - 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j ] (120*j + 24013, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -z + 1 >= 0 /\ -j - z + 201 >= 0 /\ i - z + 1 >= 0 /\ -i - z + 1 >= 0 /\ z - 1 >= 0 /\ -j + z + 199 >= 0 /\ i + z - 1 >= 0 /\ -i + z - 1 >= 0 /\ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ z >= 1 ] start location: start leaf cost: 3 Testing for reachability in the complexity graph removes the following transition from problem 17: f15(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ c - 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] We thus obtain the following problem: 18: T: (120*j + 24013, 1) f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -z + 1 >= 0 /\ -j - z + 201 >= 0 /\ i - z + 1 >= 0 /\ -i - z + 1 >= 0 /\ z - 1 >= 0 /\ -j + z + 199 >= 0 /\ i + z - 1 >= 0 /\ -i + z - 1 >= 0 /\ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f100(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -z + 1 >= 0 /\ -j - z + 201 >= 0 /\ i - z + 1 >= 0 /\ -i - z + 1 >= 0 /\ z - 1 >= 0 /\ -j + z + 199 >= 0 /\ i + z - 1 >= 0 /\ -i + z - 1 >= 0 /\ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ z >= 1 ] with all transitions in problem 18, the following new transition is obtained: f100(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -z + 1 >= 0 /\ -j - z + 201 >= 0 /\ i - z + 1 >= 0 /\ -i - z + 1 >= 0 /\ z - 1 >= 0 /\ -j + z + 199 >= 0 /\ i + z - 1 >= 0 /\ -i + z - 1 >= 0 /\ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ z >= 1 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 ] We thus obtain the following problem: 19: T: (120*j + 24013, 2) f100(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -z + 1 >= 0 /\ -j - z + 201 >= 0 /\ i - z + 1 >= 0 /\ -i - z + 1 >= 0 /\ z - 1 >= 0 /\ -j + z + 199 >= 0 /\ i + z - 1 >= 0 /\ -i + z - 1 >= 0 /\ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ z >= 1 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 ] (120*j + 24013, 1) f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f87(a, b, c, i, j, k, l, w, z) -> f100(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] with all transitions in problem 19, the following new transition is obtained: f87(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 1 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 ] We thus obtain the following problem: 20: T: (120*j + 24013, 3) f87(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 1 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 ] (120*j + 24013, 2) f100(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -z + 1 >= 0 /\ -j - z + 201 >= 0 /\ i - z + 1 >= 0 /\ -i - z + 1 >= 0 /\ z - 1 >= 0 /\ -j + z + 199 >= 0 /\ i + z - 1 >= 0 /\ -i + z - 1 >= 0 /\ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ z >= 1 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 ] (120*j + 24013, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 Testing for reachability in the complexity graph removes the following transition from problem 20: f100(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -z + 1 >= 0 /\ -j - z + 201 >= 0 /\ i - z + 1 >= 0 /\ -i - z + 1 >= 0 /\ z - 1 >= 0 /\ -j + z + 199 >= 0 /\ i + z - 1 >= 0 /\ -i + z - 1 >= 0 /\ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ z >= 1 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 ] We thus obtain the following problem: 21: T: (120*j + 24013, 3) f87(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 1 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 ] (120*j + 24013, 1) f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f81(a, b, c, i, j, k, l, w, z) -> f87(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] with all transitions in problem 21, the following new transition is obtained: f81(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 1 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 ] We thus obtain the following problem: 22: T: (120*j + 24013, 4) f81(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 1 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 ] (120*j + 24013, 3) f87(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 1 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 Testing for reachability in the complexity graph removes the following transition from problem 22: f87(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 1 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 ] We thus obtain the following problem: 23: T: (120*j + 24013, 4) f81(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 1 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j ] with all transitions in problem 23, the following new transition is obtained: f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] We thus obtain the following problem: 24: T: (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (120*j + 24013, 4) f81(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 1 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f26(a, b, c, i, j, k, l, w, z) -> f81(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] with all transitions in problem 24, the following new transition is obtained: f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] We thus obtain the following problem: 25: T: (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (120*j + 24013, 4) f81(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 1 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 Testing for reachability in the complexity graph removes the following transition from problem 25: f81(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ -i >= 0 /\ i >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 1 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 ] We thus obtain the following problem: 26: T: (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f218(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] with all transitions in problem 26, the following new transition is obtained: f218(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ -i + 1 >= 0 /\ 200 >= j + 1 /\ i = 0 /\ -j + 199 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 1 >= 0 ] We thus obtain the following problem: 27: T: (980*j + 196107, 6) f218(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ -i + 1 >= 0 /\ 200 >= j + 1 /\ i = 0 /\ -j + 199 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] with all transitions in problem 27, the following new transition is obtained: f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] We thus obtain the following problem: 28: T: (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 6) f218(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ -i + 1 >= 0 /\ 200 >= j + 1 /\ i = 0 /\ -j + 199 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f199(a, b, c, i, j, k, l, w, z) -> f210(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] with all transitions in problem 28, the following new transition is obtained: f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] We thus obtain the following problem: 29: T: (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 6) f218(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ -i + 1 >= 0 /\ 200 >= j + 1 /\ i = 0 /\ -j + 199 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (980*j + 196107, 1) f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 Testing for reachability in the complexity graph removes the following transition from problem 29: f210(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] We thus obtain the following problem: 30: T: (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (980*j + 196107, 6) f218(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ -i + 1 >= 0 /\ 200 >= j + 1 /\ i = 0 /\ -j + 199 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 1 >= 0 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f199(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] with all transitions in problem 30, the following new transition is obtained: f199(a, b, c, i, j, k, l, w, z) -> f164(a, b, 0, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 0 /\ 200 >= j + 1 /\ 0 = 0 /\ -j + 199 >= 0 /\ 1 >= 1 ] We thus obtain the following problem: 31: T: (980*j + 196107, 7) f199(a, b, c, i, j, k, l, w, z) -> f164(a, b, 0, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 0 /\ 200 >= j + 1 /\ 0 = 0 /\ -j + 199 >= 0 /\ 1 >= 1 ] (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (980*j + 196107, 6) f218(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ -i + 1 >= 0 /\ 200 >= j + 1 /\ i = 0 /\ -j + 199 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 1 >= 0 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 Testing for reachability in the complexity graph removes the following transition from problem 31: f218(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ i - j + 200 >= 0 /\ -i - j + 200 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i >= 0 /\ c - i >= 0 /\ -c - i >= 0 /\ i >= 0 /\ c + i >= 0 /\ -c + i >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ -i + 1 >= 0 /\ 200 >= j + 1 /\ i = 0 /\ -j + 199 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 1 >= 0 ] We thus obtain the following problem: 32: T: (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (980*j + 196107, 7) f199(a, b, c, i, j, k, l, w, z) -> f164(a, b, 0, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 0 /\ 200 >= j + 1 /\ 0 = 0 /\ -j + 199 >= 0 /\ 1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (980*j + 196107, 1) f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f176(a, b, c, i, j, k, l, w, z) -> f184(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] with all transitions in problem 32, the following new transition is obtained: f176(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 /\ -a + b - 1 >= 0 ] We thus obtain the following problem: 33: T: (980*j + 196107, 2) f176(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 /\ -a + b - 1 >= 0 ] (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (980*j + 196107, 7) f199(a, b, c, i, j, k, l, w, z) -> f164(a, b, 0, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 0 /\ 200 >= j + 1 /\ 0 = 0 /\ -j + 199 >= 0 /\ 1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (980*j + 196107, 1) f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 Testing for reachability in the complexity graph removes the following transition from problem 33: f184(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] We thus obtain the following problem: 34: T: (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (980*j + 196107, 7) f199(a, b, c, i, j, k, l, w, z) -> f164(a, b, 0, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 0 /\ 200 >= j + 1 /\ 0 = 0 /\ -j + 199 >= 0 /\ 1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (980*j + 196107, 2) f176(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 /\ -a + b - 1 >= 0 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f51(a, b, c, i, j, k, l, w, z) -> f58(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] with all transitions in problem 34, the following new transition is obtained: f51(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] We thus obtain the following problem: 35: T: (500*j + 9*a + 9*k + 100058, 2) f51(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (980*j + 196107, 7) f199(a, b, c, i, j, k, l, w, z) -> f164(a, b, 0, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 0 /\ 200 >= j + 1 /\ 0 = 0 /\ -j + 199 >= 0 /\ 1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (980*j + 196107, 2) f176(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 /\ -a + b - 1 >= 0 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (500*j + 9*a + 9*k + 100058, 1) f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 Testing for reachability in the complexity graph removes the following transition from problem 35: f58(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] We thus obtain the following problem: 36: T: (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (980*j + 196107, 7) f199(a, b, c, i, j, k, l, w, z) -> f164(a, b, 0, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 0 /\ 200 >= j + 1 /\ 0 = 0 /\ -j + 199 >= 0 /\ 1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (980*j + 196107, 2) f176(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 /\ -a + b - 1 >= 0 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 2) f51(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 1) f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f47(a, b, c, i, j, k, l, w, z) -> f51(a, b, c, i, j, k, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k ] with all transitions in problem 36, the following new transition is obtained: f47(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k /\ b - k - 1 >= 0 /\ a - k >= 0 /\ b >= a + 1 ] We thus obtain the following problem: 37: T: (3*a + 3*k + 1, 3) f47(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k /\ b - k - 1 >= 0 /\ a - k >= 0 /\ b >= a + 1 ] (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (980*j + 196107, 7) f199(a, b, c, i, j, k, l, w, z) -> f164(a, b, 0, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 0 /\ 200 >= j + 1 /\ 0 = 0 /\ -j + 199 >= 0 /\ 1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (980*j + 196107, 2) f176(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 /\ -a + b - 1 >= 0 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (500*j + 9*a + 9*k + 100058, 2) f51(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 Testing for reachability in the complexity graph removes the following transition from problem 37: f51(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ b - k - 1 >= 0 /\ a - k >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] We thus obtain the following problem: 38: T: (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (980*j + 196107, 7) f199(a, b, c, i, j, k, l, w, z) -> f164(a, b, 0, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 0 /\ 200 >= j + 1 /\ 0 = 0 /\ -j + 199 >= 0 /\ 1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (980*j + 196107, 2) f176(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 /\ -a + b - 1 >= 0 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 3) f47(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k /\ b - k - 1 >= 0 /\ a - k >= 0 /\ b >= a + 1 ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 1) f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f68(a, b, c, i, j, k, l, w, z) -> f152(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] with all transitions in problem 38, the following new transition is obtained: f68(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] We thus obtain the following problem: 39: T: (120*j + 24013, 2) f68(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (980*j + 196107, 7) f199(a, b, c, i, j, k, l, w, z) -> f164(a, b, 0, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 0 /\ 200 >= j + 1 /\ 0 = 0 /\ -j + 199 >= 0 /\ 1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (980*j + 196107, 2) f176(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 /\ -a + b - 1 >= 0 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (120*j + 24013, 1) f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (3*a + 3*k + 1, 3) f47(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k /\ b - k - 1 >= 0 /\ a - k >= 0 /\ b >= a + 1 ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 Testing for reachability in the complexity graph removes the following transition from problem 39: f152(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] We thus obtain the following problem: 40: T: (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (980*j + 196107, 7) f199(a, b, c, i, j, k, l, w, z) -> f164(a, b, 0, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 0 /\ 200 >= j + 1 /\ 0 = 0 /\ -j + 199 >= 0 /\ 1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (980*j + 196107, 2) f176(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 /\ -a + b - 1 >= 0 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (3*a + 3*k + 1, 3) f47(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k /\ b - k - 1 >= 0 /\ a - k >= 0 /\ b >= a + 1 ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 2) f68(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f42(a, b, c, i, j, k, l, w, z) -> f68(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a ] with all transitions in problem 40, the following new transition is obtained: f42(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a /\ -a + l >= 0 /\ b >= a + 1 ] We thus obtain the following problem: 41: T: (120*j + 24013, 3) f42(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a /\ -a + l >= 0 /\ b >= a + 1 ] (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (980*j + 196107, 7) f199(a, b, c, i, j, k, l, w, z) -> f164(a, b, 0, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 0 /\ 200 >= j + 1 /\ 0 = 0 /\ -j + 199 >= 0 /\ 1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (980*j + 196107, 2) f176(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 /\ -a + b - 1 >= 0 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (3*a + 3*k + 1, 3) f47(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k /\ b - k - 1 >= 0 /\ a - k >= 0 /\ b >= a + 1 ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 2) f68(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 Testing for reachability in the complexity graph removes the following transition from problem 41: f68(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -a + l >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] We thus obtain the following problem: 42: T: (10*j + 2001, 5) f26(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, 0, j, k, l, w, 1) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 /\ -j + 200 >= 0 /\ 0 >= 0 /\ b >= a + 1 /\ 1 >= 1 /\ -j + 201 >= 0 /\ 1 >= 0 ] (10*j + 2001, 2) f26(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 0 >= i + 1 /\ 200 >= j /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b >= a + 1 ] (980*j + 196107, 7) f199(a, b, c, i, j, k, l, w, z) -> f164(a, b, 0, 0, j + 1, k, l, w, 1) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= 0 /\ 1 >= 0 /\ 200 >= j + 1 /\ 0 = 0 /\ -j + 199 >= 0 /\ 1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ d1 >= 1 ] (980*j + 196107, 2) f199(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, i, j + 1, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ c - j + 200 >= 0 /\ -c - j + 200 >= 0 /\ -i + 1 >= 0 /\ c - i + 1 >= 0 /\ -c - i + 1 >= 0 /\ -c >= 0 /\ c >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k + 1, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ b >= k ] (?, 1) f167(a, b, c, i, j, k, l, w, z) -> f164(a, b - 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ b - j + 199 >= 0 /\ -i + 1 >= 0 /\ b - i >= 0 /\ b - 1 >= 0 /\ k >= b + 1 ] (980*j + 196107, 2) f176(a, b, c, i, j, k, l, w, z) -> f199(a, b, 0, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 /\ -a + b - 1 >= 0 ] (?, 1) f176(a, b, c, i, j, k, l, w, z) -> f176(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f164(a, b, c, i, j, k, l, w, z) -> f167(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (980*j + 196107, 1) f164(a, b, c, i, j, k, l, w, z) -> f176(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (3*a + 3*k + 1, 3) f47(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k + 1, l, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= k /\ b - k - 1 >= 0 /\ a - k >= 0 /\ b >= a + 1 ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f47(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ b - l - 2 >= 0 /\ a - l - 1 >= 0 /\ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ k >= a + 1 ] (120*j + 24013, 3) f42(a, b, c, i, j, k, l, w, z) -> f164(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ l >= a /\ -a + l >= 0 /\ b >= a + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f47(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f42(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l + 1, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ a >= l + 1 ] (120*j + 24013, 1) f30(a, b, c, i, j, k, l, w, z) -> f42(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f26(a, b, c, i, j, k, l, w, z) -> f30(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f2(a, b, c, i, j, k, l, w, z) -> f26(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (643402*a*j + 3077500*j^2 + 641022*j*k + 626250*j*l + 1250*j*w + 1250*j*z + 9200421302744*a + 1916728846535996*j + 9200420826480*k + 125319138*l + 250138*w + 250138*z + 3018*a^2 + 6024*a*k + 3006*k^2 + 3006*a*l + 3006*k*l + 6*a*w + 6*k*w + 6*a*z + 6*k*z + b + 383557252935916866, 1) f2(a, b, c, i, j, k, l, w, z) -> f2(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (1, 1) start(a, b, c, i, j, k, l, w, z) -> f2(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 Complexity upper bound ? Time: 11.555 sec (SMT: 8.144 sec)