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) -> f0(a, b + 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ a >= b ] (?, 1) f74(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f16(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ c >= d + 1 ] (?, 1) f74(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f16(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ d >= c + 1 ] (?, 1) f13(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f16(a, b, c, d, 0, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ a >= c ] (?, 1) f16(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f26(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ d >= a ] (?, 1) f16(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f26(a, b, c, d, e, v, w, v + w, 0, j, k, l, m, n, o, p, q, r, s, t, u) [ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f16(a, b, c, d + 1, e, v, w, v + w, x, j, k, l, m, n, o, p, q, r, s, t, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f16(a, b, c, d + 1, e, v, w, v + w, x, j, k, l, m, n, o, p, q, r, s, t, u) [ x >= 1 /\ a >= d + 1 ] (?, 1) f26(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f74(a, b, c, c, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ c = d ] (?, 1) f26(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f29(a, b, c, d, e + 1, f, g, h, i, e, k, l, m, n, o, p, q, r, s, t, u) [ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f29(a, b, c, d, e + 1, f, g, h, i, e, k, l, m, n, o, p, q, r, s, t, u) [ d >= c + 1 ] (?, 1) f29(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f33(a, b, c, d, e, f, g, h, i, j, v, w, m, n, o, p, q, r, s, t, u) [ 29 >= j ] (?, 1) f29(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f33(a, b, c, d, e, f, g, h, i, j, v, w, m, n, o, p, q, r, s, t, u) [ j >= 31 ] (?, 1) f29(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f33(a, b, c, d, e, f, g, h, i, 30, v, w, m, n, o, p, q, r, s, t, u) [ j = 30 ] (?, 1) f33(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f42(a, b, c, d, e, f, g, h, i, j, v, l, w, w, 1, 1, 0, r, s, t, u) [ k >= 0 ] (?, 1) f33(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f42(a, b, c, d, e, f, g, h, i, j, v, l, m, -w, 1, 1, 0, w, s, t, u) [ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f68(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ c >= b + 1 ] (?, 1) f42(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f68(a, b, c, d, e, f, g, h, i, j, k, 0, m, n, o, p, q, r, v, w, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f59(a, b, c, d, e, f, g, h, i, j, v, w, m, n, x, z, a1, r, b1, c1, u) [ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f59(a, b, c, d, e, f, g, h, i, j, v, w, m, n, x, z, a1, r, b1, c1, u) [ b >= c /\ y >= 1 ] (?, 1) f59(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f59(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, v, t, u + 1) [ a >= u ] (?, 1) f68(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f74(a, b, c, d, e, f, g, h, i, j, k, 0, m, n, o, p, q, r, s, t, u) [ b >= c /\ l = 0 ] (?, 1) f68(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f74(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f74(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f74(a, b, c, d, e, f, g, h, i, j, k, 0, m, n, o, p, q, r, s, t, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f74(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f13(a, b, c + 1, c, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ c = d ] (?, 1) f59(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f42(a, b - 1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ u >= a + 1 ] (?, 1) f13(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f80(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ c >= 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) -> f13(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ b >= a + 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) -> f0(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) start location: start leaf cost: 0 Slicing away variables that do not contribute to conditions from problem 1 leaves variables [a, b, c, d, e, j, k, l, u]. We thus obtain the following problem: 2: T: (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) (?, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (?, 1) f13(a, b, c, d, e, j, k, l, u) -> f80(a, b, c, d, e, j, k, l, u) [ c >= a + 1 ] (?, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\ l = 0 ] (?, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ y >= 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ] (?, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ] (?, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] 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, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) (?, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (?, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\ l = 0 ] (?, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ y >= 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ] (?, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ] (?, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] start location: start leaf cost: 1 A polynomial rank function with Pol(start) = 1 Pol(f0) = 1 Pol(f13) = -31 Pol(f59) = -31 Pol(f42) = -31 Pol(f74) = -31 Pol(f68) = -31 Pol(f33) = -31 Pol(f29) = -31 Pol(f26) = -31 Pol(f16) = -31 orients all transitions weakly and the transition f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] strictly and produces the following problem: 4: T: (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (?, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\ l = 0 ] (?, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ y >= 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ] (?, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ] (?, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] start location: start leaf cost: 1 A polynomial rank function with Pol(start) = 2*V_1 - 2*V_9 + 1 Pol(f0) = 2*V_1 - 2*V_9 + 1 Pol(f13) = 2*V_1 - 2*V_9 + 1 Pol(f59) = 2*V_1 - 2*V_9 + 1 Pol(f42) = 2*V_1 - 2*V_9 + 1 Pol(f74) = 2*V_1 - 2*V_9 + 1 Pol(f68) = 2*V_1 - 2*V_9 + 1 Pol(f33) = 2*V_1 - 2*V_9 + 1 Pol(f29) = 2*V_1 - 2*V_9 + 1 Pol(f26) = 2*V_1 - 2*V_9 + 1 Pol(f16) = 2*V_1 - 2*V_9 + 1 orients all transitions weakly and the transition f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ] strictly and produces the following problem: 5: T: (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (?, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\ l = 0 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ y >= 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ] (?, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ] (?, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] start location: start leaf cost: 1 A polynomial rank function with Pol(start) = 2*V_1 - 2*V_4 - 1 Pol(f0) = 2*V_1 - 2*V_4 - 1 Pol(f13) = 2*V_1 - 2*V_4 - 1 Pol(f59) = 2*V_1 - 2*V_4 - 1 Pol(f42) = 2*V_1 - 2*V_4 - 1 Pol(f74) = 2*V_1 - 2*V_4 - 1 Pol(f68) = 2*V_1 - 2*V_4 - 1 Pol(f33) = 2*V_1 - 2*V_4 - 1 Pol(f29) = 2*V_1 - 2*V_4 - 1 Pol(f26) = 2*V_1 - 2*V_4 - 1 Pol(f16) = 2*V_1 - 2*V_4 - 1 orients all transitions weakly and the transitions f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\ a >= d + 1 ] f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\ a >= d + 1 ] strictly and produces the following problem: 6: T: (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (?, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\ l = 0 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ y >= 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ] (?, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ] (?, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] start location: start leaf cost: 1 A polynomial rank function with Pol(start) = 3*V_1 - 3*V_3 + 1 Pol(f0) = 3*V_1 - 3*V_3 + 1 Pol(f13) = 3*V_1 - 3*V_3 + 1 Pol(f59) = 3*V_1 - 3*V_3 - 1 Pol(f42) = 3*V_1 - 3*V_3 - 1 Pol(f74) = 3*V_1 - 3*V_3 - 1 Pol(f68) = 3*V_1 - 3*V_3 - 1 Pol(f33) = 3*V_1 - 3*V_3 - 1 Pol(f29) = 3*V_1 - 3*V_3 - 1 Pol(f26) = 3*V_1 - 3*V_3 - 1 Pol(f16) = 3*V_1 - 3*V_3 - 1 orients all transitions weakly and the transition f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] strictly and produces the following problem: 7: T: (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (?, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\ l = 0 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ y >= 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ] (3*a + 3*c + 1, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ] (?, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] start location: start leaf cost: 1 A polynomial rank function with Pol(f74) = 1 Pol(f16) = 1 Pol(f13) = 0 Pol(f68) = 1 Pol(f59) = 1 Pol(f42) = 1 Pol(f33) = 1 Pol(f29) = 1 Pol(f26) = 1 Pol(f0) = 0 and size complexities S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-0) = a S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-1) = ? S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-2) = c S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-3) = d S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-4) = e S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-5) = j S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-6) = k S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-7) = l S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-8) = u S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-0) = a S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-1) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-2) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-3) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-4) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-5) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-6) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-7) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-0) = a S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-1) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-2) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-3) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-4) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-5) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-6) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-7) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-8) = 3*a + 3*u + 9 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-0) = a S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-1) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-2) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-3) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-4) = 0 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-5) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-6) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-7) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-1) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-2) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-3) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-1) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-2) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-3) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-1) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-2) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-3) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-1) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-2) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-3) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-0) = a S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-1) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-2) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-3) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-4) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-5) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-6) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-7) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-8) = 3*a + 3*u + 9 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-0) = a S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-1) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-2) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-3) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-4) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-5) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-6) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-7) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-0) = a S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-1) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-2) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-3) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-4) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-5) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-6) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-7) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-8) = 3*a + 3*u + 9 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-0) = a S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-1) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-2) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-3) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-4) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-5) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-6) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-7) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-8) = 3*a + 3*u + 9 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-0) = a S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-1) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-2) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-3) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-4) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-5) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-6) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-7) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-8) = 3*a + 3*u + 9 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-0) = a S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-1) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-2) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-3) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-4) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-5) = 30 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-6) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-7) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-8) = 3*a + 3*u + 9 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-0) = a S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-1) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-2) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-3) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-4) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-5) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-6) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-7) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-8) = 3*a + 3*u + 9 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-0) = a S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-1) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-2) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-3) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-4) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-5) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-6) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-7) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-2) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-3) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-2) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-3) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-7) = 0 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-2) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-3) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-2) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-3) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-8) = 3*a + 3*u + 9 S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-0) = a S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-1) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-2) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-3) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-4) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-5) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-6) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-7) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-2) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-3) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-7) = 0 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-2) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-3) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-7) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-2) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-3) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-7) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-2) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-3) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-7) = 0 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-8) = 3*a + 3*u + 9 S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-0) = a S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-1) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-2) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-3) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-4) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-5) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-6) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-7) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-8) = 3*a + 3*u + 9 S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-0) = a S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-1) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-2) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-3) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-4) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-5) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-6) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-7) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-8) = 3*a + 3*u + 9 S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-0) = a S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-1) = ? S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-2) = c S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-3) = d S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-4) = e S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-5) = j S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-6) = k S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-7) = l S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-8) = u S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-0) = a S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-1) = b S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-2) = c S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-3) = d S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-4) = e S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-5) = j S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-6) = k S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-7) = l S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-8) = u orients the transitions f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ] f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ] f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\ l = 0 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\ l = 0 ] f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ y >= 1 ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ 0 >= y + 1 ] f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ] f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ] f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ] f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ] f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ] f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ] f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ] f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ] f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ] f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ] f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] weakly and the transition f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ] strictly and produces the following problem: 8: T: (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (?, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ] (9*a + 2*u + 3*c + 4*d + 4, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\ l = 0 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ y >= 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ] (3*a + 3*c + 1, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ] (?, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] start location: start leaf cost: 1 A polynomial rank function with Pol(f74) = 2*V_1 + 2*V_3 + 2*V_4 + V_9 - 1 Pol(f16) = 2*V_1 + 2*V_3 + 2*V_4 + V_9 - 1 Pol(f68) = 2*V_1 + 2*V_3 + 2*V_4 + V_9 - 1 Pol(f59) = 2*V_1 + 2*V_3 + 2*V_4 + V_9 - 1 Pol(f42) = 2*V_1 + 2*V_3 + 2*V_4 + V_9 - 1 Pol(f33) = 2*V_1 + 2*V_3 + 2*V_4 + V_9 - 1 Pol(f29) = 2*V_1 + 2*V_3 + 2*V_4 + V_9 - 1 Pol(f26) = 2*V_1 + 2*V_3 + 2*V_4 + V_9 - 1 Pol(f0) = V_1 - V_2 + 1 and size complexities S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-0) = a S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-1) = ? S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-2) = c S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-3) = d S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-4) = e S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-5) = j S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-6) = k S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-7) = l S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-8) = u S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-0) = a S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-1) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-4) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-5) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-6) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-7) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-0) = a S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-1) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-4) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-5) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-6) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-7) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ]", 0-8) = 3*a + 3*u + 9 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-0) = a S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-1) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-3) = 10*a + 10*c + 10*d + 10*u + 40000 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-4) = 0 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-5) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-6) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-7) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-1) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-1) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-1) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-1) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\\ a >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-0) = a S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-1) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-3) = 10*a + 10*c + 10*d + 10*u + 4000 S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-4) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-5) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-6) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-7) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ]", 0-8) = 3*a + 3*u + 9 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-0) = a S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-1) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-4) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-5) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-6) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-7) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-0) = a S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-1) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-4) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-5) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-6) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-7) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ]", 0-8) = 3*a + 3*u + 9 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-0) = a S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-1) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-4) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-5) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-6) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-7) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ]", 0-8) = 3*a + 3*u + 9 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-0) = a S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-1) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-4) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-5) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-6) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-7) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ]", 0-8) = 3*a + 3*u + 9 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-0) = a S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-1) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-4) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-5) = 30 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-6) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-7) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ]", 0-8) = 3*a + 3*u + 9 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-0) = a S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-1) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-4) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-5) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-6) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-7) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ]", 0-8) = 3*a + 3*u + 9 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-0) = a S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-1) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-4) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-5) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-6) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-7) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-7) = 0 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ 0 >= y + 1 ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\\ y >= 1 ]", 0-8) = 3*a + 3*u + 9 S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-0) = a S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-1) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-4) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-5) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-6) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-7) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-7) = 0 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\\ l = 0 ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-7) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-7) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-7) = 0 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\\ l = 0 ]", 0-8) = 3*a + 3*u + 9 S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-0) = a S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-1) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-3) = 10*a + 10*c + 10*d + 10*u + 4000 S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-4) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-5) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-6) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-7) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ]", 0-8) = 3*a + 3*u + 9 S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-0) = a S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-1) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-4) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-5) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-6) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-7) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ]", 0-8) = 3*a + 3*u + 9 S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-0) = a S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-1) = ? S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-2) = c S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-3) = d S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-4) = e S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-5) = j S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-6) = k S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-7) = l S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-8) = u S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-0) = a S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-1) = b S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-2) = c S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-3) = d S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-4) = e S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-5) = j S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-6) = k S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-7) = l S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-8) = u orients the transitions f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ] f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\ l = 0 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\ l = 0 ] f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ y >= 1 ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ 0 >= y + 1 ] f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ] f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ] f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ] f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ] f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ] f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ] f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ] f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ] f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ] f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ] f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] weakly and the transition f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] strictly and produces the following problem: 9: T: (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (?, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ u >= a + 1 ] (9*a + 2*u + 3*c + 4*d + 4, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ b >= c /\ l = 0 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ y >= 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ 29 >= j ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ c = d ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ d >= a ] (3*a + 3*c + 1, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ c >= d + 1 ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] start location: start leaf cost: 1 Applied AI with 'oct' on problem 9 to obtain the following invariants: For symbol f16: X_5 >= 0 /\ X_1 - X_3 >= 0 For symbol f26: X_5 >= 0 /\ X_1 - X_3 >= 0 For symbol f29: X_5 - X_6 - 1 >= 0 /\ X_6 >= 0 /\ X_5 + X_6 - 1 >= 0 /\ -X_5 + X_6 + 1 >= 0 /\ X_5 - 1 >= 0 /\ X_1 - X_3 >= 0 For symbol f33: X_5 - X_6 - 1 >= 0 /\ X_6 >= 0 /\ X_5 + X_6 - 1 >= 0 /\ -X_5 + X_6 + 1 >= 0 /\ X_5 - 1 >= 0 /\ X_1 - X_3 >= 0 For symbol f42: X_5 - X_6 - 1 >= 0 /\ X_6 >= 0 /\ X_5 + X_6 - 1 >= 0 /\ -X_5 + X_6 + 1 >= 0 /\ X_5 - 1 >= 0 /\ X_1 - X_3 >= 0 For symbol f59: X_5 - X_6 - 1 >= 0 /\ X_6 >= 0 /\ X_5 + X_6 - 1 >= 0 /\ -X_5 + X_6 + 1 >= 0 /\ X_5 - 1 >= 0 /\ X_2 - X_3 >= 0 /\ X_1 - X_3 >= 0 For symbol f68: X_5 - X_6 - 1 >= 0 /\ X_6 >= 0 /\ X_5 + X_6 - 1 >= 0 /\ -X_5 + X_6 + 1 >= 0 /\ X_5 - 1 >= 0 /\ X_1 - X_3 >= 0 For symbol f74: X_5 >= 0 /\ X_1 - X_3 >= 0 This yielded the following problem: 10: T: (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (3*a + 3*c + 1, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (9*a + 2*u + 3*c + 4*d + 4, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (?, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 A polynomial rank function with Pol(f74) = 2*V_2 - 2*V_3 + 28 Pol(f16) = 2*V_2 - 2*V_3 + 28 Pol(f13) = 2*V_2 - 2*V_3 + 29 Pol(f26) = 2*V_2 - 2*V_3 + 28 Pol(f29) = 2*V_2 - 2*V_3 + 28 Pol(f33) = 2*V_2 - 2*V_3 + 28 Pol(f42) = 2*V_2 - 2*V_3 + 28 Pol(f68) = 2*V_2 - 2*V_3 + 28 Pol(f59) = 2*V_2 - 2*V_3 + 27 and size complexities S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-0) = a S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-1) = b S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-2) = c S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-3) = d S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-4) = e S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-5) = j S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-6) = k S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-7) = l S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-8) = u S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-0) = a S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-1) = 2*b + 453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + 4789593 S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-2) = c S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-3) = d S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-4) = e S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-5) = j S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-6) = k S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-7) = l S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-8) = u S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-0) = a S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-1) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-4) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-5) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-6) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-7) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-8) = 3*a + 3*u + 9 S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-0) = a S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-1) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-3) = 10*a + 10*c + 10*d + 10*u + 4000 S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-4) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-5) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-6) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-7) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-7) = 0 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-7) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-7) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-7) = 0 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-8) = 3*a + 3*u + 9 S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-0) = a S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-1) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-4) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-5) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-6) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-7) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-7) = 0 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-8) = 3*a + 3*u + 9 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-0) = a S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-1) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-4) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-5) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-6) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-7) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-8) = 3*a + 3*u + 9 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-0) = a S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-1) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-4) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-5) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-6) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-7) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-8) = 3*a + 3*u + 9 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-0) = a S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-1) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-4) = 31 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-5) = 30 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-6) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-7) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-8) = 3*a + 3*u + 9 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-0) = a S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-1) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-4) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-5) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-6) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-7) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-8) = 3*a + 3*u + 9 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-0) = a S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-1) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-4) = 30 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-5) = 29 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-6) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-7) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-8) = 3*a + 3*u + 9 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-0) = a S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-1) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-4) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-5) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-6) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-7) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-8) = 3*a + 3*u + 9 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-0) = a S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-1) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-4) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-5) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-6) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-7) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-0) = a S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-1) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-3) = 10*a + 10*c + 10*d + 10*u + 4000 S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-4) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-5) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-6) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-7) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-1) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-1) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-1) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-1) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-8) = 3*a + 3*u + 9 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-0) = a S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-1) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-3) = 10*a + 10*c + 10*d + 10*u + 40000 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-4) = 0 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-5) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-6) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-7) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-8) = 3*a + 3*u + 9 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-0) = a S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-1) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-4) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-5) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-6) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-7) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-8) = 3*a + 3*u + 9 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-0) = a S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-1) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-4) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-5) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-6) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-7) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-0) = a S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-1) = 2*b + 453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + 4789593 S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-2) = c S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-3) = d S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-4) = e S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-5) = j S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-6) = k S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-7) = l S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-8) = u orients the transitions f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ l = 0 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] weakly and the transitions f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] strictly and produces the following problem: 11: T: (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (3*a + 3*c + 1, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (9*a + 2*u + 3*c + 4*d + 4, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 A polynomial rank function with Pol(f74) = 1 Pol(f16) = 1 Pol(f68) = 1 Pol(f42) = 1 Pol(f59) = 0 Pol(f33) = 1 Pol(f29) = 1 Pol(f26) = 1 and size complexities S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-0) = a S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-1) = b S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-2) = c S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-3) = d S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-4) = e S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-5) = j S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-6) = k S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-7) = l S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-8) = u S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-0) = a S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-1) = 2*b + 453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + 4789593 S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-2) = c S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-3) = d S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-4) = e S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-5) = j S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-6) = k S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-7) = l S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-8) = u S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-0) = a S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-4) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-5) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-6) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-7) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-8) = 3*a + 3*u + 9 S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-0) = a S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-3) = 10*a + 10*c + 10*d + 10*u + 4000 S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-4) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-5) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-6) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-7) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-7) = 0 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-7) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-7) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-7) = 0 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-8) = 3*a + 3*u + 9 S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-0) = a S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-4) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-5) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-6) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-7) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-7) = 0 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-8) = 3*a + 3*u + 9 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-0) = a S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-4) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-5) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-6) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-7) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-8) = 3*a + 3*u + 9 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-0) = a S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-4) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-5) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-6) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-7) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-8) = 3*a + 3*u + 9 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-0) = a S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-4) = 31 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-5) = 30 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-6) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-7) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-8) = 3*a + 3*u + 9 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-0) = a S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-4) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-5) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-6) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-7) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-8) = 3*a + 3*u + 9 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-0) = a S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-4) = 30 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-5) = 29 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-6) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-7) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-8) = 3*a + 3*u + 9 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-0) = a S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-4) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-5) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-6) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-7) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-8) = 3*a + 3*u + 9 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-0) = a S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-4) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-5) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-6) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-7) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-0) = a S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-3) = 10*a + 10*c + 10*d + 10*u + 4000 S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-4) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-5) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-6) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-7) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-8) = 3*a + 3*u + 9 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-0) = a S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-3) = 10*a + 10*c + 10*d + 10*u + 40000 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-4) = 0 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-5) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-6) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-7) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-8) = 3*a + 3*u + 9 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-0) = a S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-4) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-5) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-6) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-7) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-8) = 3*a + 3*u + 9 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-0) = a S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-2) = 10*a + 10*c + 10*d + 10*u + 400 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-3) = 14*a + 14*c + 14*d + 14*u + 784392 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-4) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-5) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-6) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-7) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-0) = a S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-1) = 2*b + 453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + 4789593 S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-2) = c S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-3) = d S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-4) = e S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-5) = j S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-6) = k S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-7) = l S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-8) = u orients the transitions f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ l = 0 ] f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] weakly and the transition f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] strictly and produces the following problem: 12: T: (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (3*a + 3*c + 1, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (9*a + 2*u + 3*c + 4*d + 4, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 By chaining the transition f26(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] with all transitions in problem 12, the following new transition is obtained: f26(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c ] We thus obtain the following problem: 13: T: (?, 2) f26(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (3*a + 3*c + 1, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (9*a + 2*u + 3*c + 4*d + 4, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 A polynomial rank function with Pol(f74) = 1 Pol(f16) = 1 Pol(f68) = 1 Pol(f42) = 1 Pol(f33) = 1 Pol(f29) = 1 Pol(f26) = 1 Pol(f13) = 0 and size complexities S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-0) = a S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-1) = b S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-2) = c S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-3) = d S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-4) = e S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-5) = j S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-6) = k S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-7) = l S("start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u)", 0-8) = u S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-0) = a S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-1) = 2*b + 453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + 4789593 S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-2) = c S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-3) = d S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-4) = e S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-5) = j S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-6) = k S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-7) = l S("f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ]", 0-8) = u S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-0) = a S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-2) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-3) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-4) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-5) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-6) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-7) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ u >= a + 1 ]", 0-8) = 3*a + 3*u + 9 S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-0) = a S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-2) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-3) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-4) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-5) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-6) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-7) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-2) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-3) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-7) = 0 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 /\\ l = 0 ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-2) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-3) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-7) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-2) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-3) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-7) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-8) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-2) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-3) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-7) = 0 S("f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ l = 0 ]", 0-8) = 3*a + 3*u + 9 S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-0) = a S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-2) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-3) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-4) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-5) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-6) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-7) = ? S("f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ b - c >= 0 /\\ a - c >= 0 /\\ a >= u ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-2) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-3) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ y >= 1 ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-2) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-3) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c /\\ 0 >= y + 1 ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-2) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-3) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-7) = 0 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-8) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-2) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-3) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-8) = 3*a + 3*u + 9 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-0) = a S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-2) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-3) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-4) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-5) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-6) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-7) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= k + 1 ]", 0-8) = 3*a + 3*u + 9 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-0) = a S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-2) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-3) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-4) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-5) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-6) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-7) = ? S("f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k >= 0 ]", 0-8) = 3*a + 3*u + 9 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-0) = a S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-2) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-3) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-4) = 31 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-5) = 30 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-6) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-7) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-8) = 3*a + 3*u + 9 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-0) = a S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-2) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-3) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-4) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-5) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-6) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-7) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-8) = 3*a + 3*u + 9 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-0) = a S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-2) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-3) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-4) = 30 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-5) = 29 S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-6) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-7) = ? S("f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-8) = 3*a + 3*u + 9 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-0) = a S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-2) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-3) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-4) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-5) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-6) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-7) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-8) = 3*a + 3*u + 9 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-0) = a S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-2) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-3) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-4) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-5) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-6) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-7) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-2) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-3) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-2) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-3) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-2) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-3) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-0) = a S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-2) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-3) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-4) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-5) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-6) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-7) = ? S("f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-8) = 3*a + 3*u + 9 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-0) = a S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-2) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-3) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-4) = 0 S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-5) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-6) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-7) = ? S("f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ]", 0-8) = 3*a + 3*u + 9 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-0) = a S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-2) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-3) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-4) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-5) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-6) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-7) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-8) = 3*a + 3*u + 9 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-0) = a S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-2) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-3) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-4) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-5) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-6) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-7) = ? S("f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-8) = 3*a + 3*u + 9 S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-0) = a S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-1) = 2*b + 453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + 4789593 S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-2) = c S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-3) = d S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-4) = e S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-5) = j S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-6) = k S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-7) = l S("f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ]", 0-8) = u S("f26(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-0) = a S("f26(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-1) = 6*b + 1359*a^2 + 1623*a*u + 1629*a*c + 675*c*u + 1860*a*d + 900*d*u + 306*u^2 + 28980597*a + 727844*c + 18835680*d + 9418152*u + 360*c^2 + 936*c*d + 576*d^2 + 14368808 S("f26(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-2) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-3) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-4) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-5) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-6) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-7) = ? S("f26(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-8) = 3*a + 3*u + 9 orients the transitions f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ l = 0 ] f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c ] f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] f26(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c ] f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] weakly and the transition f26(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c ] strictly and produces the following problem: 14: T: (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 2) f26(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (3*a + 3*c + 1, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (9*a + 2*u + 3*c + 4*d + 4, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 By chaining the transition f26(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c ] with all transitions in problem 14, the following new transition is obtained: f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] We thus obtain the following problem: 15: T: (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (3*a + 3*c + 1, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (9*a + 2*u + 3*c + 4*d + 4, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 By chaining the transition f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] with all transitions in problem 15, the following new transition is obtained: f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] We thus obtain the following problem: 16: T: (?, 2) f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (3*a + 3*c + 1, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (9*a + 2*u + 3*c + 4*d + 4, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c ] with all transitions in problem 16, the following new transition is obtained: f42(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 = 0 ] We thus obtain the following problem: 17: T: (?, 2) f42(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 = 0 ] (?, 2) f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (3*a + 3*c + 1, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (9*a + 2*u + 3*c + 4*d + 4, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 Testing for reachability in the complexity graph removes the following transition from problem 17: f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ l = 0 ] We thus obtain the following problem: 18: T: (9*a + 2*u + 3*c + 4*d + 4, 1) f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 2) f42(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 = 0 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (3*a + 3*c + 1, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 By chaining the transition f74(a, b, c, d, e, j, k, l, u) -> f13(a, b, c + 1, c, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] with all transitions in problem 18, the following new transition is obtained: f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] We thus obtain the following problem: 19: T: (9*a + 2*u + 3*c + 4*d + 4, 2) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 2) f42(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 = 0 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (3*a + 3*c + 1, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (1, 1) f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 By chaining the transition f0(a, b, c, d, e, j, k, l, u) -> f13(a, b, c, d, e, j, k, l, u) [ b >= a + 1 ] with all transitions in problem 19, the following new transition is obtained: f0(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ b >= a + 1 /\ a >= c ] We thus obtain the following problem: 20: T: (1, 2) f0(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ b >= a + 1 /\ a >= c ] (9*a + 2*u + 3*c + 4*d + 4, 2) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 2) f42(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 = 0 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (3*a + 3*c + 1, 1) f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 Testing for reachability in the complexity graph removes the following transition from problem 20: f13(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ a >= c ] We thus obtain the following problem: 21: T: (9*a + 2*u + 3*c + 4*d + 4, 2) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 2) f42(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 = 0 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f0(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ b >= a + 1 /\ a >= c ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 ] with all transitions in problem 21, the following new transitions are obtained: f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ u >= a + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u ] We thus obtain the following problem: 22: T: (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 2) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ u >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 2) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u ] (9*a + 2*u + 3*c + 4*d + 4, 2) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 2) f42(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 = 0 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f0(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ b >= a + 1 /\ a >= c ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u ] with all transitions in problem 22, the following new transitions are obtained: f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 ] We thus obtain the following problem: 23: T: (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 2) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ u >= a + 1 ] (9*a + 2*u + 3*c + 4*d + 4, 2) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 2) f42(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 = 0 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f0(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ b >= a + 1 /\ a >= c ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 ] with all transitions in problem 23, the following new transitions are obtained: f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 ] We thus obtain the following problem: 24: T: (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 4) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 4) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 2) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ u >= a + 1 ] (9*a + 2*u + 3*c + 4*d + 4, 2) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 2) f42(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 = 0 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f0(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ b >= a + 1 /\ a >= c ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 ] with all transitions in problem 24, the following new transitions are obtained: f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ u + 3 >= a + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 ] We thus obtain the following problem: 25: T: (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 5) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ u + 3 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 5) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 4) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 2) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ u >= a + 1 ] (9*a + 2*u + 3*c + 4*d + 4, 2) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 2) f42(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 = 0 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f0(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ b >= a + 1 /\ a >= c ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 ] with all transitions in problem 25, the following new transitions are obtained: f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ u + 4 >= a + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 ] We thus obtain the following problem: 26: T: (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 6) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ u + 4 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 6) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 5) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ u + 3 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 4) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 2) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ u >= a + 1 ] (9*a + 2*u + 3*c + 4*d + 4, 2) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 2) f42(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 = 0 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f0(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ b >= a + 1 /\ a >= c ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 ] with all transitions in problem 26, the following new transitions are obtained: f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ u + 5 >= a + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 6) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 ] We thus obtain the following problem: 27: T: (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 7) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ u + 5 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 7) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 6) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 6) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ u + 4 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 5) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ u + 3 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 4) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 2) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ u >= a + 1 ] (9*a + 2*u + 3*c + 4*d + 4, 2) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 2) f42(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 = 0 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f0(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ b >= a + 1 /\ a >= c ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 6) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 ] with all transitions in problem 27, the following new transitions are obtained: f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 6) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ u + 6 >= a + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 7) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ a >= u + 6 ] We thus obtain the following problem: 28: T: (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 8) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 6) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ u + 6 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 8) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 7) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ a >= u + 6 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 7) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ u + 5 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 6) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ u + 4 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 5) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ u + 3 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 4) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 2) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ u >= a + 1 ] (9*a + 2*u + 3*c + 4*d + 4, 2) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 2) f42(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 = 0 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f0(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ b >= a + 1 /\ a >= c ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 7) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ a >= u + 6 ] with all transitions in problem 28, the following new transitions are obtained: f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 7) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ a >= u + 6 /\ u + 7 >= a + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 8) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ a >= u + 6 /\ a >= u + 7 ] We thus obtain the following problem: 29: T: (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 9) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 7) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ a >= u + 6 /\ u + 7 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 9) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 8) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ a >= u + 6 /\ a >= u + 7 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 8) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 6) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ u + 6 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 7) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ u + 5 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 6) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ u + 4 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 5) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ u + 3 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 4) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 2) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ u >= a + 1 ] (9*a + 2*u + 3*c + 4*d + 4, 2) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 2) f42(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 = 0 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f0(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ b >= a + 1 /\ a >= c ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 8) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ a >= u + 6 /\ a >= u + 7 ] with all transitions in problem 29, the following new transitions are obtained: f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 8) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ a >= u + 6 /\ a >= u + 7 /\ u + 8 >= a + 1 ] f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 9) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ a >= u + 6 /\ a >= u + 7 /\ a >= u + 8 ] We thus obtain the following problem: 30: T: (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 10) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 8) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ a >= u + 6 /\ a >= u + 7 /\ u + 8 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 10) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u + 9) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ a >= u + 6 /\ a >= u + 7 /\ a >= u + 8 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 9) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 7) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ a >= u + 6 /\ u + 7 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 8) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 6) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 /\ u + 6 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 7) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ u + 5 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 6) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ u + 4 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 5) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ u + 3 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 4) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 2) f42(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ y >= 1 /\ b - c >= 0 /\ u >= a + 1 ] (9*a + 2*u + 3*c + 4*d + 4, 2) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f74(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f59(a, b, c, d, e, j, k, l, u) -> f42(a, b - 1, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ u >= a + 1 ] (2*a + 2*u + 1, 1) f59(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, k, l, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ b - c >= 0 /\ a - c >= 0 /\ a >= u ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= l + 1 ] (?, 2) f42(a, b, c, d, e, j, k, l, u) -> f74(a, b, c, d, e, j, k, 0, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 = 0 ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320398*a + 485230*c + 12557120*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579215, 1) f42(a, b, c, d, e, j, k, l, u) -> f59(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c /\ 0 >= y + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, u) -> f68(a, b, c, d, e, j, k, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ c >= b + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 0 >= k + 1 ] (?, 1) f33(a, b, c, d, e, j, k, l, u) -> f42(a, b, c, d, e, j, v, l, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k >= 0 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, 30, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f29(a, b, c, d, e, j, k, l, u) -> f33(a, b, c, d, e, j, v, w, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (4*b + 906*a^2 + 1082*a*u + 1086*a*c + 450*c*u + 1240*a*d + 600*d*u + 204*u^2 + 19320405*a + 485233*c + 12557124*d + 6278768*u + 240*c^2 + 624*c*d + 384*d^2 + 9579218, 3) f26(a, b, c, d, e, j, k, l, u) -> f16(a, b, c + 1, c, 0, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f26(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f16(a, b, c, d, e, j, k, l, u) -> f29(a, b, c, d, e + 1, e, k, l, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f16(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d + 1, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f16(a, b, c, d, e, j, k, l, u) -> f26(a, b, c, d, e, j, k, l, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f0(a, b, c, d, e, j, k, l, u) -> f16(a, b, c, d, 0, j, k, l, u) [ b >= a + 1 /\ a >= c ] (453*a^2 + 541*a*u + 543*a*c + 225*c*u + 620*a*d + 300*d*u + 102*u^2 + 9660199*a + 242614*c + 6278560*d + 3139384*u + 120*c^2 + 312*c*d + 192*d^2 + b + 4789593, 1) f0(a, b, c, d, e, j, k, l, u) -> f0(a, b + 1, c, d, e, j, k, l, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, u) -> f0(a, b, c, d, e, j, k, l, u) start location: start leaf cost: 1 Complexity upper bound ? Time: 13.274 sec (SMT: 9.453 sec)