MAYBE Initial complexity problem: 1: T: (?, 1) f0(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) -> f0(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) f0(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) -> f0(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) f44(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) -> f44(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) f44(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) -> f44(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) f44(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) -> f44(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) f54(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) -> f57(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) f54(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) -> f57(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) f57(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) -> f59(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) f59(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) -> f59(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) f67(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) -> f71(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) f67(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) -> f71(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) f71(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) -> f74(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) f74(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) -> f74(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) f80(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) -> f80(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) f67(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) -> f67(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) f89(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) -> f92(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) f92(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) -> f92(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) f54(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) -> f99(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) f99(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) -> f99(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) f104(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) -> f106(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) f106(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) -> f106(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) f115(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) -> f117(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) f117(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) -> f117(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) f132(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) -> f134(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) f134(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) -> f134(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) f142(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) -> f142(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) f142(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) -> f142(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) f142(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) -> f142(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) f151(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) -> f151(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) f156(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) -> f156(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) f161(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) -> f163(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) f163(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) -> f163(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) f171(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) -> f173(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) f173(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) -> f173(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) f181(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) -> f181(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) f188(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) -> f190(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) f190(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) -> f190(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) f201(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) -> f201(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) f201(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) -> f201(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) f211(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) -> f211(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) -> f54(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) -> f43(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) f211(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) -> f54(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) f201(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) -> f211(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) f201(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) -> f211(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) f201(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) f190(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) -> f188(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) f188(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) -> f201(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) f181(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) -> f188(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) f173(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) -> f171(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) f171(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) -> f181(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) f163(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) -> f161(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) f161(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) -> f171(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) f156(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) -> f161(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) f151(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) -> f156(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) f142(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) -> f151(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) f134(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) -> f132(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) f132(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) -> f142(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) f117(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) -> f115(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) f117(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) -> f115(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) f115(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) -> f161(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) f115(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) -> f161(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) f115(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) -> f132(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) f106(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) -> f104(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) f104(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) -> f115(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) f99(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) -> f104(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) f92(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) -> f89(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) f89(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) -> f161(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) f80(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) -> f71(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) f74(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) -> f80(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) f71(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) -> f67(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) f67(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) -> f89(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) f59(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) -> f57(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) f57(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) -> f67(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) f54(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) -> f43(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) f44(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) -> f54(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) f0(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) -> f43(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) f0(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) -> f44(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) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f43(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= c ] (?, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f54(a, b, c, i, j, k, l, w, z) -> f43(a, b, c, i, j, k, l, w, z) [ j >= 201 ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f106(a, b, c, i, j, k, l, w, z) -> f104(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f115(a, b, c, i, j, k, l, w, z) -> f132(a, b, c, i, j, k, l, w, 0) [ b >= a + 1 /\ z = 0 ] (?, 1) f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (?, 1) f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= z + 1 ] (?, 1) f117(a, b, c, i, j, k, l, w, z) -> f115(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f117(a, b, c, i, j, k, l, w, z) -> f115(a, b + 1, c, i, j, k, l, w, 0) [ k >= a + 1 /\ d1 >= 0 ] (?, 1) f132(a, b, c, i, j, k, l, w, z) -> f142(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f134(a, b, c, i, j, k, l, w, z) -> f132(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f142(a, b, c, i, j, k, l, w, z) -> f151(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f151(a, b, c, i, j, k, l, w, z) -> f156(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f156(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f163(a, b, c, i, j, k, l, w, z) -> f161(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f190(a, b, c, i, j, k, l, w, z) -> f188(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f43(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) -> f54(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) f211(a, b, c, i, j, k, l, w, z) -> f211(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f201(a, b + 1, d1, i, j, k, l, w, z) [ a >= b /\ e1 >= c + 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f201(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f190(a, b, c, i, j, k, l, w, z) -> f190(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f188(a, b, c, i, j, k, l, w, z) -> f190(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (?, 1) f163(a, b, c, i, j, k, l, w, z) -> f163(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f161(a, b, c, i, j, k, l, w, z) -> f163(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f156(a, b, c, i, j, k, l, w, z) -> f156(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f151(a, b, c, i, j, k, l, w, z) -> f151(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f142(a, b, c, i, j, k, l, w, z) -> f142(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ d1 >= 1 ] (?, 1) f142(a, b, c, i, j, k, l, w, z) -> f142(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ 0 >= d1 + 1 ] (?, 1) f142(a, b, c, i, j, k, l, w, z) -> f142(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f134(a, b, c, i, j, k, l, w, z) -> f134(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f132(a, b, c, i, j, k, l, w, z) -> f134(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f117(a, b, c, i, j, k, l, w, z) -> f117(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f115(a, b, c, i, j, k, l, w, z) -> f117(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f106(a, b, c, i, j, k, l, w, z) -> f106(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f104(a, b, c, i, j, k, l, w, z) -> f106(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (?, 1) f80(a, b, c, i, j, k, l, w, z) -> f80(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (?, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (?, 1) f44(a, b, c, i, j, k, l, w, z) -> f44(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ d1 >= 1 ] (?, 1) f44(a, b, c, i, j, k, l, w, z) -> f44(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ 0 >= d1 + 1 ] (?, 1) f44(a, b, c, i, j, k, l, w, z) -> f44(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (?, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f106(a, b, c, i, j, k, l, w, z) -> f104(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f115(a, b, c, i, j, k, l, w, z) -> f132(a, b, c, i, j, k, l, w, 0) [ b >= a + 1 /\ z = 0 ] (?, 1) f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (?, 1) f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= z + 1 ] (?, 1) f117(a, b, c, i, j, k, l, w, z) -> f115(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f117(a, b, c, i, j, k, l, w, z) -> f115(a, b + 1, c, i, j, k, l, w, 0) [ k >= a + 1 /\ d1 >= 0 ] (?, 1) f132(a, b, c, i, j, k, l, w, z) -> f142(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f134(a, b, c, i, j, k, l, w, z) -> f132(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f142(a, b, c, i, j, k, l, w, z) -> f151(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f151(a, b, c, i, j, k, l, w, z) -> f156(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f156(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f163(a, b, c, i, j, k, l, w, z) -> f161(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f190(a, b, c, i, j, k, l, w, z) -> f188(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(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) f211(a, b, c, i, j, k, l, w, z) -> f211(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f201(a, b + 1, d1, i, j, k, l, w, z) [ a >= b /\ e1 >= c + 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f201(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f190(a, b, c, i, j, k, l, w, z) -> f190(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f188(a, b, c, i, j, k, l, w, z) -> f190(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (?, 1) f163(a, b, c, i, j, k, l, w, z) -> f163(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f161(a, b, c, i, j, k, l, w, z) -> f163(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f156(a, b, c, i, j, k, l, w, z) -> f156(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f151(a, b, c, i, j, k, l, w, z) -> f151(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f142(a, b, c, i, j, k, l, w, z) -> f142(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ d1 >= 1 ] (?, 1) f142(a, b, c, i, j, k, l, w, z) -> f142(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ 0 >= d1 + 1 ] (?, 1) f142(a, b, c, i, j, k, l, w, z) -> f142(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f134(a, b, c, i, j, k, l, w, z) -> f134(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f132(a, b, c, i, j, k, l, w, z) -> f134(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f117(a, b, c, i, j, k, l, w, z) -> f117(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f115(a, b, c, i, j, k, l, w, z) -> f117(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f106(a, b, c, i, j, k, l, w, z) -> f106(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f104(a, b, c, i, j, k, l, w, z) -> f106(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (?, 1) f80(a, b, c, i, j, k, l, w, z) -> f80(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (?, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (?, 1) f44(a, b, c, i, j, k, l, w, z) -> f44(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ d1 >= 1 ] (?, 1) f44(a, b, c, i, j, k, l, w, z) -> f44(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ 0 >= d1 + 1 ] (?, 1) f44(a, b, c, i, j, k, l, w, z) -> f44(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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: f106(a, b, c, i, j, k, l, w, z) -> f104(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] f115(a, b, c, i, j, k, l, w, z) -> f132(a, b, c, i, j, k, l, w, 0) [ b >= a + 1 /\ z = 0 ] f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= z + 1 ] f117(a, b, c, i, j, k, l, w, z) -> f115(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 /\ 0 >= d1 + 1 ] f117(a, b, c, i, j, k, l, w, z) -> f115(a, b + 1, c, i, j, k, l, w, 0) [ k >= a + 1 /\ d1 >= 0 ] f132(a, b, c, i, j, k, l, w, z) -> f142(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f134(a, b, c, i, j, k, l, w, z) -> f132(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] f142(a, b, c, i, j, k, l, w, z) -> f151(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f151(a, b, c, i, j, k, l, w, z) -> f156(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f156(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f163(a, b, c, i, j, k, l, w, z) -> f161(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] f190(a, b, c, i, j, k, l, w, z) -> f188(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 ] f211(a, b, c, i, j, k, l, w, z) -> f211(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f201(a, b, c, i, j, k, l, w, z) -> f201(a, b + 1, d1, i, j, k, l, w, z) [ a >= b /\ e1 >= c + 1 ] f201(a, b, c, i, j, k, l, w, z) -> f201(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] f190(a, b, c, i, j, k, l, w, z) -> f190(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] f188(a, b, c, i, j, k, l, w, z) -> f190(a, b, c, i, j, k, l, w, z) [ a >= b ] f163(a, b, c, i, j, k, l, w, z) -> f163(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] f161(a, b, c, i, j, k, l, w, z) -> f163(a, b, c, i, j, k, l, w, z) [ a >= b ] f156(a, b, c, i, j, k, l, w, z) -> f156(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f151(a, b, c, i, j, k, l, w, z) -> f151(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f142(a, b, c, i, j, k, l, w, z) -> f142(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ d1 >= 1 ] f142(a, b, c, i, j, k, l, w, z) -> f142(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ 0 >= d1 + 1 ] f142(a, b, c, i, j, k, l, w, z) -> f142(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f134(a, b, c, i, j, k, l, w, z) -> f134(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] f132(a, b, c, i, j, k, l, w, z) -> f134(a, b, c, i, j, k, l, w, z) [ a >= b ] f117(a, b, c, i, j, k, l, w, z) -> f117(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] f115(a, b, c, i, j, k, l, w, z) -> f117(a, b, c, i, j, k, l, w, z) [ a >= b ] f106(a, b, c, i, j, k, l, w, z) -> f106(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] f104(a, b, c, i, j, k, l, w, z) -> f106(a, b, c, i, j, k, l, w, z) [ a >= b ] f80(a, b, c, i, j, k, l, w, z) -> f80(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f44(a, b, c, i, j, k, l, w, z) -> f44(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ d1 >= 1 ] f44(a, b, c, i, j, k, l, w, z) -> f44(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ 0 >= d1 + 1 ] f44(a, b, c, i, j, k, l, w, z) -> f44(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] We thus obtain the following problem: 4: T: (?, 1) f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (?, 1) f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (?, 1) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (?, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (?, 1) f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (?, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f44(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f115) = -201 Pol(f161) = -201 Pol(f104) = -201 Pol(f99) = -201 Pol(f54) = -201 Pol(f57) = -201 Pol(f211) = -201 Pol(f218) = -201 Pol(f201) = -201 Pol(f188) = -201 Pol(f173) = -201 Pol(f171) = -201 Pol(f181) = -201 Pol(f80) = -201 Pol(f71) = -201 Pol(f74) = -201 Pol(f92) = -201 Pol(f89) = -201 Pol(f67) = -201 Pol(f59) = -201 Pol(f44) = 1 Pol(f0) = 2 Pol(start) = 2 orients all transitions weakly and the transitions f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] strictly and produces the following problem: 5: T: (?, 1) f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (?, 1) f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (?, 1) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (?, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (?, 1) f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f0(a, b, c, i, j, k, l, w, z) -> f44(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f115) = -10*V_5 + 1998 Pol(f161) = -10*V_5 + 1997 Pol(f104) = -10*V_5 + 1999 Pol(f99) = -10*V_5 + 2000 Pol(f54) = -10*V_5 + 2001 Pol(f57) = -10*V_5 + 2000 Pol(f211) = -10*V_5 + 1992 Pol(f218) = -10*V_5 + 1992 Pol(f201) = -10*V_5 + 1993 Pol(f188) = -10*V_5 + 1994 Pol(f173) = -10*V_5 + 1996 Pol(f171) = -10*V_5 + 1996 Pol(f181) = -10*V_5 + 1995 Pol(f80) = -10*V_5 + 1999 Pol(f71) = -10*V_5 + 1999 Pol(f74) = -10*V_5 + 1999 Pol(f92) = -10*V_5 + 1998 Pol(f89) = -10*V_5 + 1998 Pol(f67) = -10*V_5 + 1999 Pol(f59) = -10*V_5 + 2000 Pol(f44) = -10*V_5 + 2001 Pol(f0) = -10*V_5 + 2001 Pol(start) = -10*V_5 + 2001 orients all transitions weakly and the transitions f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] strictly and produces the following problem: 6: T: (?, 1) f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (?, 1) f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (?, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (?, 1) f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f0(a, b, c, i, j, k, l, w, z) -> f44(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f99) = 4 Pol(f104) = 3 Pol(f92) = 2 Pol(f89) = 2 Pol(f161) = 1 Pol(f80) = 3 Pol(f71) = 3 Pol(f74) = 3 Pol(f67) = 3 Pol(f59) = 4 Pol(f57) = 4 Pol(f218) = -5 Pol(f54) = -6 Pol(f211) = -5 Pol(f201) = -4 Pol(f188) = -3 Pol(f181) = -2 Pol(f173) = -1 Pol(f171) = -1 Pol(f115) = 2 Pol(f0) = -1 and size complexities S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-0) = a S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-1) = b S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-2) = c S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-3) = i S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-4) = j S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-5) = k S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-6) = l S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-7) = w S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-8) = z S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-0) = a S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-1) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-2) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-3) = i S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-4) = j S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-5) = k S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-6) = l S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-7) = w S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-8) = z S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-0) = a S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-1) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-2) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-3) = i S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-4) = j S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-5) = k S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-6) = l S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-7) = w S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-8) = z S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-0) = a S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-1) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-2) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-3) = i S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-4) = j S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-5) = k S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-6) = l S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-7) = w S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-8) = z S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = j S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = k S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = l S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-0) = a S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-1) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-2) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-3) = 1 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-4) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-5) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-6) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-7) = w S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-4) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-6) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-4) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-6) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-4) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-6) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-4) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-6) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-8) = z + 1 S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-0) = a S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-1) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-2) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-4) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-5) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-6) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-7) = w S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-0) = a S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-1) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-2) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-3) = 1 S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-4) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-5) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-6) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-7) = w S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-0) = a S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-1) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-2) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-4) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-5) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-6) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-7) = w S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-0) = a S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-1) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-2) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-3) = 1 S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-4) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-5) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-6) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-7) = w S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-0) = a S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-1) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-2) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-3) = 1 S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-4) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-5) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-6) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-7) = w S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-8) = z + 1 S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-0) = a S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-1) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-2) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-3) = 1 S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-4) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-5) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-6) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-7) = w S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-8) = z + 1 S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-0) = a S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-1) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-2) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-3) = 1 S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-4) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-5) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-6) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-7) = w S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-8) = z + 1 S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-0) = a S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-1) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-2) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-3) = 1 S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-4) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-5) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-6) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-7) = w S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-8) = z + 1 S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-0) = a S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-1) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-2) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-3) = 1 S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-4) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-5) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-6) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-7) = w S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-8) = z + 1 S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-0) = a S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-1) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-2) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-3) = 1 S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-4) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-5) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-6) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-7) = w S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-8) = z + 1 S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f201(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("f201(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("f201(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("f201(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("f201(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("f201(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("f201(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("f201(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("f201(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("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-0) = a S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-2) = 0 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-4) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-6) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-7) = w S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-2) = 0 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-4) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-6) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f201(a, b, c, i, j, k, l, w, z) -> f211(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) -> f54(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) -> f54(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) -> f54(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) -> f54(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) -> f54(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) -> f54(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) -> f54(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) -> f54(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) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-8) = z + 1 S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-0) = a S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-1) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-2) = 0 S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-3) = 0 S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-4) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-5) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-6) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-7) = w S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-8) = z + 1 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-0) = a S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-1) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-2) = 0 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-3) = 1 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-4) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-5) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-6) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-7) = w S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-0) = a S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-1) = ? S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-2) = 0 S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-3) = 0 S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-4) = ? S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-5) = ? S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-6) = ? S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-7) = w S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-8) = 1 S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-0) = a S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-1) = ? S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-2) = 0 S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-3) = 0 S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-4) = ? S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-5) = ? S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-6) = ? S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-7) = w S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-8) = 1 orients the transitions f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ] f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] f218(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] weakly and the transitions f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ] f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] strictly and produces the following problem: 7: T: (120*j + 24013, 1) f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (?, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (?, 1) f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f0(a, b, c, i, j, k, l, w, z) -> f44(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f99) = 0 Pol(f92) = 0 Pol(f89) = 0 Pol(f80) = -2 Pol(f71) = -2 Pol(f74) = -2 Pol(f67) = -2 Pol(f59) = -1 Pol(f57) = -1 Pol(f218) = -1 Pol(f54) = -2 Pol(f211) = 1 Pol(f201) = 2 Pol(f188) = 3 Pol(f181) = 4 Pol(f173) = 5 Pol(f171) = 5 Pol(f0) = -1 and size complexities S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-0) = a S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-1) = b S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-2) = c S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-3) = i S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-4) = j S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-5) = k S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-6) = l S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-7) = w S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-8) = z S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-0) = a S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-1) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-2) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-3) = i S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-4) = j S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-5) = k S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-6) = l S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-7) = w S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-8) = z S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-0) = a S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-1) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-2) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-3) = i S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-4) = j S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-5) = k S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-6) = l S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-7) = w S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-8) = z S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-0) = a S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-1) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-2) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-3) = i S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-4) = j S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-5) = k S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-6) = l S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-7) = w S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-8) = z S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = j S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = k S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = l S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-0) = a S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-1) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-2) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-3) = 1 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-4) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-5) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-6) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-7) = w S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-4) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-6) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-4) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-6) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-4) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-6) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-4) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-6) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-8) = z + 1 S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-0) = a S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-1) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-2) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-4) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-5) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-6) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-7) = w S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-0) = a S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-1) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-2) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-3) = 1 S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-4) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-5) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-6) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-7) = w S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-0) = a S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-1) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-2) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-4) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-5) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-6) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-7) = w S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-0) = a S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-1) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-2) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-3) = 1 S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-4) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-5) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-6) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-7) = w S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-0) = a S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-1) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-2) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-3) = 1 S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-4) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-5) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-6) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-7) = w S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-8) = z + 1 S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-0) = a S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-1) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-2) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-3) = 1 S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-4) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-5) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-6) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-7) = w S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-8) = z + 1 S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-0) = a S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-1) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-2) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-3) = 1 S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-4) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-5) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-6) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-7) = w S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-8) = z + 1 S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-0) = a S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-1) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-2) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-3) = 1 S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-4) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-5) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-6) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-7) = w S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-8) = z + 1 S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-0) = a S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-1) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-2) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-3) = 1 S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-4) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-5) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-6) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-7) = w S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-8) = z + 1 S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-0) = a S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-1) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-2) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-3) = 1 S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-4) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-5) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-6) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-7) = w S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-8) = z + 1 S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f201(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("f201(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("f201(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("f201(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("f201(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("f201(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("f201(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("f201(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("f201(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("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-0) = a S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-2) = 0 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-4) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-6) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-7) = w S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-2) = 0 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-4) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-6) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f201(a, b, c, i, j, k, l, w, z) -> f211(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) -> f54(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) -> f54(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) -> f54(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) -> f54(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) -> f54(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) -> f54(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) -> f54(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) -> f54(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) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-8) = z + 1 S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-0) = a S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-1) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-2) = 0 S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-3) = 0 S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-4) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-5) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-6) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-7) = w S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-8) = z + 1 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-0) = a S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-1) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-2) = 0 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-3) = 1 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-4) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-5) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-6) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-7) = w S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-0) = a S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-1) = ? S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-2) = 0 S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-3) = 0 S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-4) = ? S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-5) = ? S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-6) = ? S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-7) = w S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-8) = 1 S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-0) = a S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-1) = ? S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-2) = 0 S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-3) = 0 S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-4) = ? S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-5) = ? S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-6) = ? S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-7) = w S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-8) = 1 orients the transitions f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] f218(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] weakly and the transitions f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] strictly and produces the following problem: 8: T: (120*j + 24013, 1) f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (?, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f0(a, b, c, i, j, k, l, w, z) -> f44(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) -> f0(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) f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f0(a, b, c, i, j, k, l, w, z) -> f44(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f115) = 3*V_1 - 3*V_6 + 1 Pol(f161) = 3*V_1 - 3*V_6 + 1 Pol(f104) = 3*V_1 - 3*V_6 + 1 Pol(f99) = 3*V_1 - 3*V_6 + 1 Pol(f54) = 3*V_1 - 3*V_6 + 1 Pol(f57) = 3*V_1 - 3*V_6 + 1 Pol(f211) = 3*V_1 - 3*V_6 + 1 Pol(f218) = 3*V_1 - 3*V_6 + 1 Pol(f201) = 3*V_1 - 3*V_6 + 1 Pol(f188) = 3*V_1 - 3*V_6 + 1 Pol(f173) = 3*V_1 - 3*V_6 + 1 Pol(f171) = 3*V_1 - 3*V_6 + 1 Pol(f181) = 3*V_1 - 3*V_6 + 1 Pol(f80) = 3*V_1 - 3*V_6 - 1 Pol(f71) = 3*V_1 - 3*V_6 + 1 Pol(f74) = 3*V_1 - 3*V_6 Pol(f92) = 3*V_1 - 3*V_6 + 1 Pol(f89) = 3*V_1 - 3*V_6 + 1 Pol(f67) = 3*V_1 - 3*V_6 + 1 Pol(f59) = 3*V_1 - 3*V_6 + 1 Pol(f44) = 3*V_1 - 3*V_6 + 1 Pol(f0) = 3*V_1 - 3*V_6 + 1 Pol(start) = 3*V_1 - 3*V_6 + 1 orients all transitions weakly and the transitions f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] strictly and produces the following problem: 10: T: (120*j + 24013, 1) f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (?, 1) f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f0(a, b, c, i, j, k, l, w, z) -> f44(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f99) = 0 Pol(f92) = -1 Pol(f89) = -1 Pol(f80) = 1 Pol(f71) = -2 Pol(f74) = 2 Pol(f67) = -2 Pol(f59) = -1 Pol(f57) = -1 Pol(f181) = 0 Pol(f173) = -1 Pol(f171) = -1 Pol(f0) = -1 and size complexities S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-0) = a S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-1) = b S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-2) = c S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-3) = i S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-4) = j S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-5) = k S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-6) = l S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-7) = w S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-8) = z S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-0) = a S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-1) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-2) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-3) = i S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-4) = j S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-5) = k S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-6) = l S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-7) = w S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-8) = z S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-0) = a S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-1) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-2) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-3) = i S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-4) = j S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-5) = k S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-6) = l S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-7) = w S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-8) = z S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-0) = a S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-1) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-2) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-3) = i S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-4) = j S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-5) = k S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-6) = l S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-7) = w S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-8) = z S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = j S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = k S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = l S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-0) = a S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-1) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-2) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-3) = 1 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-4) = 1721*j + 1019430130108 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-5) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-6) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-7) = w S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1721*j + 1019430130108 S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-4) = 1721*j + 1019430130108 S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-6) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-4) = 1721*j + 1019430130108 S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-6) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-4) = 1721*j + 1019430130108 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-6) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-4) = 1721*j + 1019430130108 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-6) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-8) = z + 1 S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-0) = a S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-1) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-2) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-5) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-6) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-7) = w S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-0) = a S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-1) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-2) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-3) = 1 S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-4) = 1721*j + 1019430130108 S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-5) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-6) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-7) = w S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1721*j + 1019430130108 S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-0) = a S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-1) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-2) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-5) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-6) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-7) = w S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-0) = a S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-1) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-2) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-3) = 1 S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-4) = 1721*j + 1019430130108 S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-5) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-6) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-7) = w S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-0) = a S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-1) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-2) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-3) = 1 S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-4) = 1721*j + 1019430130108 S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-5) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-6) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-7) = w S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-8) = z + 1 S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-0) = a S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-1) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-2) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-3) = 1 S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-4) = 1721*j + 1019430130108 S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-5) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-6) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-7) = w S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-8) = z + 1 S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1721*j + 1019430130108 S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-0) = a S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-1) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-2) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-3) = 1 S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-4) = 1721*j + 1019430130108 S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-5) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-6) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-7) = w S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-8) = z + 1 S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-0) = a S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-1) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-2) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-3) = 1 S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-4) = 1721*j + 1019430130108 S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-5) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-6) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-7) = w S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-8) = z + 1 S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1721*j + 1019430130108 S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-0) = a S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-1) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-2) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-3) = 1 S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-4) = 1721*j + 1019430130108 S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-5) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-6) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-7) = w S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-8) = z + 1 S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-0) = a S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-1) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-2) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-3) = 1 S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-4) = 1721*j + 1019430130108 S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-5) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-6) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-7) = w S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-8) = z + 1 S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f201(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("f201(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("f201(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("f201(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("f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f201(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("f201(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("f201(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("f201(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("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-0) = a S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-2) = 0 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-4) = 1721*j + 1019430130108 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-6) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-7) = w S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-2) = 0 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-4) = 1721*j + 1019430130108 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-6) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f201(a, b, c, i, j, k, l, w, z) -> f211(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) -> f54(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) -> f54(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) -> f54(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) -> f54(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) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-4) = 1721*j + 1019430130108 S("f218(a, b, c, i, j, k, l, w, z) -> f54(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) -> f54(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) -> f54(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) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-8) = z + 1 S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-0) = a S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-1) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-2) = 0 S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-3) = 0 S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-4) = 1721*j + 1019430130108 S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-5) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-6) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-7) = w S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-8) = z + 1 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-0) = a S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-1) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-2) = 0 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-3) = 1 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-4) = 1721*j + 1019430130108 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-5) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-6) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-7) = w S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1721*j + 1019430130108 S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-0) = a S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-1) = ? S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-2) = 0 S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-3) = 0 S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-5) = ? S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-6) = ? S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-7) = w S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-8) = 1 S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-0) = a S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-1) = ? S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-2) = 0 S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-3) = 0 S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-4) = 1721*j + 1019430130108 S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-5) = ? S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-6) = ? S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-7) = w S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-8) = 1 orients the transitions f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] weakly and the transitions f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] strictly and produces the following problem: 11: T: (120*j + 24013, 1) f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (500*j + 9*a + 9*k + 100058, 1) f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (?, 1) f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f0(a, b, c, i, j, k, l, w, z) -> f44(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f115) = 2*V_1 - 2*V_7 - 1 Pol(f161) = 2*V_1 - 2*V_7 - 1 Pol(f104) = 2*V_1 - 2*V_7 - 1 Pol(f99) = 2*V_1 - 2*V_7 - 1 Pol(f54) = 2*V_1 - 2*V_7 - 1 Pol(f57) = 2*V_1 - 2*V_7 - 1 Pol(f211) = 2*V_1 - 2*V_7 - 1 Pol(f218) = 2*V_1 - 2*V_7 - 1 Pol(f201) = 2*V_1 - 2*V_7 - 1 Pol(f188) = 2*V_1 - 2*V_7 - 1 Pol(f173) = 2*V_1 - 2*V_7 - 1 Pol(f171) = 2*V_1 - 2*V_7 - 1 Pol(f181) = 2*V_1 - 2*V_7 - 1 Pol(f80) = 2*V_1 - 2*V_7 - 2 Pol(f71) = 2*V_1 - 2*V_7 - 2 Pol(f74) = 2*V_1 - 2*V_7 - 2 Pol(f92) = 2*V_1 - 2*V_7 - 1 Pol(f89) = 2*V_1 - 2*V_7 - 1 Pol(f67) = 2*V_1 - 2*V_7 - 1 Pol(f59) = 2*V_1 - 2*V_7 - 1 Pol(f44) = 2*V_1 - 2*V_7 - 1 Pol(f0) = 2*V_1 - 2*V_7 - 1 Pol(start) = 2*V_1 - 2*V_7 - 1 orients all transitions weakly and the transitions f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] f67(a, b, c, i, j, k, l, w, z) -> f67(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) f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (500*j + 9*a + 9*k + 100058, 1) f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] (?, 1) f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (2*a + 2*l + 1, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f0(a, b, c, i, j, k, l, w, z) -> f44(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) -> f0(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) f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (500*j + 9*a + 9*k + 100058, 1) f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (2*a + 2*l + 1, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (?, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f0(a, b, c, i, j, k, l, w, z) -> f44(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 A polynomial rank function with Pol(f99) = 2*V_1 + V_3 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f92) = 2*V_1 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f89) = 2*V_1 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f74) = 2*V_1 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f59) = 2*V_1 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f57) = 2*V_1 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f181) = 2*V_1 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f173) = V_1 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f171) = V_1 + V_4 + V_5 + V_7 + V_8 + V_9 Pol(f0) = V_1 - V_2 + 1 and size complexities S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-0) = a S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-1) = b S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-2) = c S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-3) = i S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-4) = j S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-5) = k S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-6) = l S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-7) = w S("start(a, b, c, i, j, k, l, w, z) -> f0(a, b, c, i, j, k, l, w, z)", 0-8) = z S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-0) = a S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-1) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-2) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-3) = i S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-4) = j S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-5) = k S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-6) = l S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-7) = w S("f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ c >= 1 ]", 0-8) = z S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-0) = a S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-1) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-2) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-3) = i S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-4) = j S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-5) = k S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-6) = l S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-7) = w S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\\ d1 >= c + 1 ]", 0-8) = z S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-0) = a S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-1) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-2) = ? S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-3) = i S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-4) = j S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-5) = k S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-6) = l S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-7) = w S("f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\\ c >= d1 ]", 0-8) = z S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = j S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = k S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = l S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-0) = a S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-1) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-2) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-3) = 1 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-4) = 1721*j + 1019430130108 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-5) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(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("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-7) = w S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1721*j + 1019430130108 S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-4) = 1721*j + 1019430130108 S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-4) = 1721*j + 1019430130108 S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f67(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("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-4) = 1721*j + 1019430130108 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(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("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-2) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-4) = 1721*j + 1019430130108 S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f67(a, b, c, i, j, k, l, w, z) -> f71(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("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\\ 0 >= d1 + 1 ]", 0-8) = z + 1 S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-0) = a S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-1) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-2) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-5) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f57(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("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-7) = w S("f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-0) = a S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-1) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-2) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-3) = 1 S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-4) = 1721*j + 1019430130108 S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-5) = ? S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-7) = w S("f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1721*j + 1019430130108 S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-0) = a S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-1) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-2) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-3) = 1 S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-5) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f67(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("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-7) = w S("f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ]", 0-8) = z + 1 S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-0) = a S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-1) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-2) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-3) = 1 S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-4) = 1721*j + 1019430130108 S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-5) = ? S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-7) = w S("f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ]", 0-8) = z + 1 S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-0) = a S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-1) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-2) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-3) = 1 S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-4) = 1721*j + 1019430130108 S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-5) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-7) = w S("f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ]", 0-8) = z + 1 S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-0) = a S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-1) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-2) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-3) = 1 S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-4) = 1721*j + 1019430130108 S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-5) = ? S("f92(a, b, c, i, j, k, l, w, z) -> f92(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("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-7) = w S("f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ]", 0-8) = z + 1 S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1721*j + 1019430130108 S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f80(a, b, c, i, j, k, l, w, z) -> f71(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("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-0) = a S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-1) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-2) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-3) = 1 S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-4) = 1721*j + 1019430130108 S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-5) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-7) = w S("f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ]", 0-8) = z + 1 S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-0) = a S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-1) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-2) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-3) = 1 S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-4) = 1721*j + 1019430130108 S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-5) = ? S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-7) = w S("f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ]", 0-8) = z + 1 S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 1 S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1721*j + 1019430130108 S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-0) = a S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-1) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-2) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-3) = 1 S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-4) = 1721*j + 1019430130108 S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-5) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f171(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("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-7) = w S("f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ]", 0-8) = z + 1 S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-0) = a S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-1) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-2) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-3) = 1 S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-4) = 1721*j + 1019430130108 S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-5) = ? S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-7) = w S("f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ]", 0-8) = z + 1 S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f201(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("f201(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("f201(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("f201(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("f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f201(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("f201(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("f201(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("f201(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("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-0) = a S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-1) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-2) = 0 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-3) = 1 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-4) = 1721*j + 1019430130108 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-5) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(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("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-7) = w S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ d1 >= 1 ]", 0-8) = z + 1 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-0) = a S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-1) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-2) = 0 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-3) = 1 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-4) = 1721*j + 1019430130108 S("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-5) = ? S("f201(a, b, c, i, j, k, l, w, z) -> f211(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("f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ 0 >= d1 + 1 ]", 0-7) = w S("f201(a, b, c, i, j, k, l, w, z) -> f211(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) -> f54(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) -> f54(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) -> f54(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) -> f54(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) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-4) = 1721*j + 1019430130108 S("f218(a, b, c, i, j, k, l, w, z) -> f54(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) -> f54(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) -> f54(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) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\\ c >= 0 ]", 0-8) = z + 1 S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-3) = 1 S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f211(a, b, c, i, j, k, l, w, z) -> f54(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("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-0) = a S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-1) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-2) = 0 S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-3) = 0 S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-4) = 1721*j + 1019430130108 S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-5) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f99(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("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-7) = w S("f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\\ i = 0 ]", 0-8) = z + 1 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-0) = a S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-1) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-2) = 0 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-3) = 1 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-4) = 1721*j + 1019430130108 S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-5) = ? S("f54(a, b, c, i, j, k, l, w, z) -> f57(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("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-7) = w S("f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\\ 200 >= j ]", 0-8) = z + 1 S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-0) = a S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-1) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-2) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-3) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-5) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-7) = w S("f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ]", 0-8) = z + 1 S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-0) = a S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-1) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-2) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-3) = 0 S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-4) = 1721*j + 1019430130108 S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-5) = ? S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-7) = w S("f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ]", 0-8) = z + 1 S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-0) = a S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-1) = ? S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-2) = 0 S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-3) = 0 S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-4) = 1721*j + 1019430130108 S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-5) = ? S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-6) = 501*a + 501*j + 501*k + 501*l + 25115411061 S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-7) = w S("f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ]", 0-8) = 1 S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-0) = a S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-1) = ? S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-2) = 0 S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-3) = 0 S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-4) = 1721*j + 1019430130108 S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-5) = ? S("f115(a, b, c, i, j, k, l, w, z) -> f161(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("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-7) = w S("f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\\ z >= 1 ]", 0-8) = 1 orients the transitions f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] weakly and the transitions f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] f0(a, b, c, i, j, k, l, w, z) -> f0(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) f115(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ z >= 1 ] (120*j + 24013, 1) f104(a, b, c, i, j, k, l, w, z) -> f115(a, b, c, i, j, k, l, w, 1) [ b >= a + 1 ] (?, 1) f99(a, b, c, i, j, k, l, w, z) -> f99(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f99(a, b, c, i, j, k, l, w, z) -> f104(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ 0 >= i + 1 /\ 200 >= j ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ 200 >= j /\ i = 0 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, i, j + 1, k, l, w, z) [ b >= a + 1 /\ c >= 0 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ 0 >= d1 + 1 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ d1 >= 1 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f218(a, b, 0, 0, j, k, l, w, z) [ b >= a + 1 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(a, b, 0, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k + 1, l, w, z) [ b >= k ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(a, b - 1, c, i, j, k, l, w, z) [ k >= b + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ 0 >= b ] (500*j + 9*a + 9*k + 100058, 1) f80(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k + 1, l, w, z) [ b >= a + 1 ] (?, 1) f74(a, b, c, i, j, k, l, w, z) -> f74(a, b + 1, c, i, j, k, l, w, z) [ a >= b ] (500*j + 9*a + 9*k + 100058, 1) f74(a, b, c, i, j, k, l, w, z) -> f80(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ b >= k + 1 ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ k >= b ] (120*j + 24013, 1) f161(a, b, c, i, j, k, l, w, z) -> f171(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f71(a, b, c, i, j, k, l, w, z) -> f74(a, b, c, i, j, k, l, w, z) [ a >= k ] (13*a + 4*l + 500*j + 9*k + 100060, 1) f71(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ k >= a + 1 ] (?, 1) f89(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f89(a, b, c, i, j, k, l, w, z) -> f161(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (3*a + 3*k + 1, 1) f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ a >= k ] (?, 1) f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ k >= a + 1 ] (2*a + 2*l + 1, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ 0 >= d1 + 1 ] (2*a + 2*l + 1, 1) f67(a, b, c, i, j, k, l, w, z) -> f71(a, b, c, i, j, k, l, w, z) [ a >= l + 1 /\ d1 >= 1 ] (2*a + 2*l + 1, 1) f67(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l + 1, w, z) [ a >= l + 1 ] (120*j + 24013, 1) f67(a, b, c, i, j, k, l, w, z) -> f89(a, b, c, i, j, k, l, w, z) [ l >= a ] (?, 1) f57(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k, l, w, z) [ a >= b ] (120*j + 24013, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(a, b, c, i, j, k, l, w, z) [ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ i >= 1 /\ 200 >= j ] (2, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (2, 1) f0(a, b, c, i, j, k, l, w, z) -> f44(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) -> f0(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 f104: -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 f115: -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 f161: -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f171: -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 For symbol f173: -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 f181: -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 For symbol f188: -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f201: -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 f211: -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 f44: X_3 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f54: -X_4 + 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f57: -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f59: -1 >= 0 For symbol f67: -X_5 + 200 >= 0 /\ -X_4 - X_5 + 201 >= 0 /\ -X_4 + 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 For symbol f71: 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 f74: 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 f80: 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 f89: -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 f92: -1 >= 0 For symbol f99: -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) -> f0(a, b, c, i, j, k, l, w, z) (2, 1) f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (2, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ c - 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (120*j + 24013, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f57(a, b, c, i, j, k, l, w, z) -> f59(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ -1 >= 0 /\ k >= a + 1 ] (3*a + 3*k + 1, 1) f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ -1 >= 0 /\ a >= k ] (120*j + 24013, 1) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f89(a, b, c, i, j, k, l, w, z) -> f92(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ -1 >= 0 /\ k >= b ] (?, 1) f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ -1 >= 0 /\ b >= k + 1 ] (500*j + 9*a + 9*k + 100058, 1) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f74(a, b, c, i, j, k, l, w, z) -> f74(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(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) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(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) f99(a, b, c, i, j, k, l, w, z) -> f104(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) f99(a, b, c, i, j, k, l, w, z) -> f99(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) f104(a, b, c, i, j, k, l, w, z) -> f115(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) f115(a, b, c, i, j, k, l, w, z) -> f161(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: f57(a, b, c, i, j, k, l, w, z) -> f59(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 ] f59(a, b, c, i, j, k, l, w, z) -> f57(a, b + 1, c, i, j, k, l, w, z) [ -1 >= 0 /\ k >= a + 1 ] f59(a, b, c, i, j, k, l, w, z) -> f59(a, b, c, i, j, k + 1, l, w, z) [ -1 >= 0 /\ a >= k ] f89(a, b, c, i, j, k, l, w, z) -> f92(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 ] f92(a, b, c, i, j, k, l, w, z) -> f89(a, b + 1, c, i, j, k, l, w, z) [ -1 >= 0 /\ k >= b ] f92(a, b, c, i, j, k, l, w, z) -> f92(a, b, c, i, j, k + 1, l, w, z) [ -1 >= 0 /\ b >= k + 1 ] f74(a, b, c, i, j, k, l, w, z) -> f74(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 ] f99(a, b, c, i, j, k, l, w, z) -> f99(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) -> f0(a, b, c, i, j, k, l, w, z) (2, 1) f0(a, b, c, i, j, k, l, w, z) -> f44(a, b, c, i, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (2, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ c - 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (120*j + 24013, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(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) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(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) f99(a, b, c, i, j, k, l, w, z) -> f104(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) f104(a, b, c, i, j, k, l, w, z) -> f115(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) f115(a, b, c, i, j, k, l, w, z) -> f161(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 f0(a, b, c, i, j, k, l, w, z) -> f44(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: f0(a, b, c, i, j, k, l, w, z) -> f54(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) f0(a, b, c, i, j, k, l, w, z) -> f54(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) -> f0(a, b, c, i, j, k, l, w, z) (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, e1, i, j, k, l, w, z) [ a >= b /\ d1 >= c + 1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (2, 1) f44(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ c - 1 >= 0 /\ -a + b - 1 >= 0 /\ b >= a + 1 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (120*j + 24013, 1) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ 0 >= b ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= a + 1 ] (?, 1) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(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) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (10*j + 2001, 1) f54(a, b, c, i, j, k, l, w, z) -> f57(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) f99(a, b, c, i, j, k, l, w, z) -> f104(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) f104(a, b, c, i, j, k, l, w, z) -> f115(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) f115(a, b, c, i, j, k, l, w, z) -> f161(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: f44(a, b, c, i, j, k, l, w, z) -> f54(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) f115(a, b, c, i, j, k, l, w, z) -> f161(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) f104(a, b, c, i, j, k, l, w, z) -> f115(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) f99(a, b, c, i, j, k, l, w, z) -> f104(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) f54(a, b, c, i, j, k, l, w, z) -> f57(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) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f115(a, b, c, i, j, k, l, w, z) -> f161(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: f115(a, b, c, i, j, k, l, w, z) -> f171(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) f115(a, b, c, i, j, k, l, w, z) -> f171(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) f104(a, b, c, i, j, k, l, w, z) -> f115(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) f99(a, b, c, i, j, k, l, w, z) -> f104(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) f54(a, b, c, i, j, k, l, w, z) -> f57(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) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f104(a, b, c, i, j, k, l, w, z) -> f115(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: f104(a, b, c, i, j, k, l, w, z) -> f171(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) f104(a, b, c, i, j, k, l, w, z) -> f171(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) f115(a, b, c, i, j, k, l, w, z) -> f171(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) f99(a, b, c, i, j, k, l, w, z) -> f104(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) f54(a, b, c, i, j, k, l, w, z) -> f57(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) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(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: f115(a, b, c, i, j, k, l, w, z) -> f171(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) f104(a, b, c, i, j, k, l, w, z) -> f171(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) f99(a, b, c, i, j, k, l, w, z) -> f104(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) f54(a, b, c, i, j, k, l, w, z) -> f57(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) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f99(a, b, c, i, j, k, l, w, z) -> f104(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: f99(a, b, c, i, j, k, l, w, z) -> f171(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) f99(a, b, c, i, j, k, l, w, z) -> f171(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) f104(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f57(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) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(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: f104(a, b, c, i, j, k, l, w, z) -> f171(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) f99(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f57(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) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f54(a, b, c, i, j, k, l, w, z) -> f57(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: f54(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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) f99(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f99(a, b, c, 0, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ 200 >= j /\ i = 0 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f54(a, b, c, i, j, k, l, w, z) -> f99(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: f54(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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) f99(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(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: f99(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f218(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(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) -> f54(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) -> f171(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: (860*j + 172094, 6) f218(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f201(a, b, c, i, j, k, l, w, z) -> f211(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: f201(a, b, c, i, j, k, l, w, z) -> f54(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: (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 6) f218(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f201(a, b, c, i, j, k, l, w, z) -> f211(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f201(a, b, c, i, j, k, l, w, z) -> f211(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: f201(a, b, c, i, j, k, l, w, z) -> f54(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: (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 6) f218(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 1) f211(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(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: f211(a, b, c, i, j, k, l, w, z) -> f54(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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 ] (860*j + 172094, 6) f218(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f201(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f201(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: f201(a, b, c, i, j, k, l, w, z) -> f171(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: (860*j + 172094, 7) f201(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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 ] (860*j + 172094, 6) f218(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(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) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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 ] (860*j + 172094, 7) f201(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (860*j + 172094, 1) f181(a, b, c, i, j, k, l, w, z) -> f188(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f181(a, b, c, i, j, k, l, w, z) -> f188(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: f181(a, b, c, i, j, k, l, w, z) -> f201(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: (860*j + 172094, 2) f181(a, b, c, i, j, k, l, w, z) -> f201(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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 ] (860*j + 172094, 7) f201(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 1) f188(a, b, c, i, j, k, l, w, z) -> f201(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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) f181(a, b, c, i, j, k, l, w, z) -> f181(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(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: f188(a, b, c, i, j, k, l, w, z) -> f201(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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 ] (860*j + 172094, 7) f201(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f181(a, b, c, i, j, k, l, w, z) -> f201(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) f181(a, b, c, i, j, k, l, w, z) -> f181(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f80(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f74(a, b, c, i, j, k, l, w, z) -> f80(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: f74(a, b, c, i, j, k, l, w, z) -> f71(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) f74(a, b, c, i, j, k, l, w, z) -> f71(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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 ] (860*j + 172094, 7) f201(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f181(a, b, c, i, j, k, l, w, z) -> f201(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) f181(a, b, c, i, j, k, l, w, z) -> f181(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) f80(a, b, c, i, j, k, l, w, z) -> f71(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) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(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: f80(a, b, c, i, j, k, l, w, z) -> f71(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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 ] (860*j + 172094, 7) f201(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f181(a, b, c, i, j, k, l, w, z) -> f201(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f71(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f74(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f71(a, b, c, i, j, k, l, w, z) -> f74(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: f71(a, b, c, i, j, k, l, w, z) -> f71(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) f71(a, b, c, i, j, k, l, w, z) -> f71(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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 ] (860*j + 172094, 7) f201(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f181(a, b, c, i, j, k, l, w, z) -> f201(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f74(a, b, c, i, j, k, l, w, z) -> f71(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(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: f74(a, b, c, i, j, k, l, w, z) -> f71(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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 ] (860*j + 172094, 7) f201(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f181(a, b, c, i, j, k, l, w, z) -> f201(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f71(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f161(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f89(a, b, c, i, j, k, l, w, z) -> f161(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: f89(a, b, c, i, j, k, l, w, z) -> f171(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) f89(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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 ] (860*j + 172094, 7) f201(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f181(a, b, c, i, j, k, l, w, z) -> f201(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f161(a, b, c, i, j, k, l, w, z) -> f171(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) f71(a, b, c, i, j, k, l, w, z) -> f71(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(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: f161(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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 ] (860*j + 172094, 7) f201(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f181(a, b, c, i, j, k, l, w, z) -> f201(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f71(a, b, c, i, j, k, l, w, z) -> f71(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f171(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f89(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 By chaining the transition f67(a, b, c, i, j, k, l, w, z) -> f89(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: f67(a, b, c, i, j, k, l, w, z) -> f171(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) f67(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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 ] (860*j + 172094, 7) f201(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f181(a, b, c, i, j, k, l, w, z) -> f201(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f71(a, b, c, i, j, k, l, w, z) -> f71(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f89(a, b, c, i, j, k, l, w, z) -> f171(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(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: f89(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f171(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) f54(a, b, c, i, j, k, l, w, z) -> f67(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 ] (860*j + 172094, 7) f201(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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 ] (860*j + 172094, 2) f201(a, b, c, i, j, k, l, w, z) -> f54(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) f173(a, b, c, i, j, k, l, w, z) -> f173(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) f173(a, b, c, i, j, k, l, w, z) -> f171(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 ] (860*j + 172094, 2) f181(a, b, c, i, j, k, l, w, z) -> f201(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) f181(a, b, c, i, j, k, l, w, z) -> f181(a, b + 1, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ a >= b ] (?, 1) f171(a, b, c, i, j, k, l, w, z) -> f173(a, b, c, i, j, k, l, w, z) [ -j + 200 >= 0 /\ -i - j + 201 >= 0 /\ -i + 1 >= 0 /\ b >= 1 ] (860*j + 172094, 1) f171(a, b, c, i, j, k, l, w, z) -> f181(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) f71(a, b, c, i, j, k, l, w, z) -> f71(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) f71(a, b, c, i, j, k, l, w, z) -> f67(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) f67(a, b, c, i, j, k, l, w, z) -> f171(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f71(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) f67(a, b, c, i, j, k, l, w, z) -> f67(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) f57(a, b, c, i, j, k, l, w, z) -> f67(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) f54(a, b, c, i, j, k, l, w, z) -> f57(a, b, c, i, j, k, l, w, z) [ -i + 1 >= 0 /\ -a + b - 1 >= 0 /\ i >= 1 /\ 200 >= j ] (2, 2) f0(a, b, c, i, j, k, l, w, z) -> f54(a, b, c, 1, j, k, l, w, z) [ b >= a + 1 /\ c >= 1 /\ c - 1 >= 0 /\ -a + b - 1 >= 0 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(a, b + 1, c, i, j, k, l, w, z) [ a >= b /\ c >= d1 ] (581602*a*j + 2510860*j^2 + 579462*j*k + 566130*j*l + 1130*j*w + 1130*j*z + 6267386963889*a + 1180336963972970*j + 6267386535651*k + 113288625*l + 226125*w + 226125*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 + 236197860497290375, 1) f0(a, b, c, i, j, k, l, w, z) -> f0(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) -> f0(a, b, c, i, j, k, l, w, z) start location: start leaf cost: 3 Complexity upper bound ? Time: 11.568 sec (SMT: 8.082 sec)